Leo-III---1.8.0.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWV446^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:39:54 AM UTC 2026

% Result   : Theorem 148.03s 40.74s
% Output   : Refutation 141.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV446^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.05/0.12  % Computer : n012.cluster.edu
% 0.05/0.12  % Model    : x86_64 x86_64
% 0.05/0.12  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.12  % Memory   : 8046.5625MB
% 0.05/0.12  % OS       : Linux 6.8.0-71-generic
% 0.05/0.12  % CPULimit : 300
% 0.05/0.12  % WCLimit  : 300
% 0.05/0.12  % DateTime : Tue Sep 29 16:04:18 UTC 2026
% 0.05/0.12  % CPUTime  : 
% 0.05/0.12  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.41/0.41  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.79/0.56  % [INFO] 	 Parsing done (146ms). 
% 0.79/0.57  % [INFO] 	 Running in sequential loop mode. 
% 1.09/0.77  % [INFO] 	 eprover registered as external prover. 
% 1.09/0.77  % [INFO] 	 Scanning for conjecture ... 
% 1.28/0.85  % [INFO] 	 Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ... 
% 1.28/0.87  % [INFO] 	 Axiom selection finished. Selected 6 axioms (removed 0 axioms). 
% 1.28/0.87  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.28/0.88  % [INFO] 	 Type checking passed. 
% 1.28/0.88  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 148.03/40.73  % External prover 'e' found a proof!
% 148.03/40.73  % [INFO] 	 Killing All external provers ... 
% 148.03/40.74  % Time passed: 40538ms (effective reasoning time: 40164ms)
% 148.03/40.74  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 148.03/40.74  % Axioms used in derivation (6): trans_axiom_i, trans_axiom_r, loca_strength, refl_axiom_r, ax_i_r_commute, refl_axiom_i
% 148.03/40.74  % No. of inferences in proof: 1176
% 148.03/40.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 40538 ms resp. 40164 ms w/o parsing
% 141.02/40.99  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.02/40.99  thf(individuals_type, type, individuals: $tType).
% 141.02/40.99  thf(prop_a_decl, type, prop_a: ($i > $o)).
% 141.02/40.99  thf(prop_b_decl, type, prop_b: ($i > $o)).
% 141.02/40.99  thf(prop_c_decl, type, prop_c: ($i > $o)).
% 141.02/40.99  thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 141.02/40.99  thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 141.02/40.99  thf(mimpl_decl, type, mimpl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 141.02/40.99  thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 141.02/40.99  thf(mall_decl, type, mall: ((individuals > ($i > $o)) > ($i > $o))).
% 141.02/40.99  thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 141.02/40.99  thf(reli_decl, type, reli: ($i > ($i > $o))).
% 141.02/40.99  thf(relr_decl, type, relr: ($i > ($i > $o))).
% 141.02/40.99  thf(cs4_atom_decl, type, cs4_atom: (($i > $o) > ($i > $o))).
% 141.02/40.99  thf(cs4_impl_decl, type, cs4_impl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 141.02/40.99  thf(cs4_all_decl, type, cs4_all: ((individuals > ($i > $o)) > ($i > $o))).
% 141.02/40.99  thf(cs4_box_decl, type, cs4_box: (($i > $o) > ($i > $o))).
% 141.02/40.99  thf(cs4_valid_decl, type, cs4_valid: (($i > $o) > $o)).
% 141.02/40.99  thf(princ_inj_decl, type, princ_inj: (individuals > ($i > $o))).
% 141.02/40.99  thf(bl_atom_decl, type, bl_atom: (($i > $o) > ($i > $o))).
% 141.02/40.99  thf(bl_princ_decl, type, bl_princ: (($i > $o) > ($i > $o))).
% 141.02/40.99  thf(bl_impl_decl, type, bl_impl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 141.02/40.99  thf(bl_says_decl, type, bl_says: (individuals > (($i > $o) > ($i > $o)))).
% 141.02/40.99  thf(bl_valid_decl, type, bl_valid: (($i > $o) > $o)).
% 141.02/40.99  thf(loca_decl, type, loca: individuals).
% 141.02/40.99  thf(sk1_decl, type, sk1: individuals).
% 141.02/40.99  thf(sk2_decl, type, sk2: ($i > $o)).
% 141.02/40.99  thf(sk3_decl, type, sk3: $i).
% 141.02/40.99  thf(sk4_decl, type, sk4: $i).
% 141.02/40.99  thf(sk5_decl, type, sk5: $i).
% 141.02/40.99  thf(sk6_decl, type, sk6: $i).
% 141.02/40.99  thf(sk7_decl, type, sk7: $i).
% 141.02/40.99  thf(sk8_decl, type, sk8: ($i > ($i > ($i > $i)))).
% 141.02/40.99  thf(sk9_decl, type, sk9: $i).
% 141.02/40.99  thf(sk10_decl, type, sk10: ($i > (($i > $o) > $i))).
% 141.02/40.99  thf(sk11_decl, type, sk11: ($i > (($i > $o) > $i))).
% 141.02/40.99  thf(sk12_decl, type, sk12: ($i > (($i > $o) > $i))).
% 141.02/40.99  thf(sk13_decl, type, sk13: ($i > (($i > $o) > $i))).
% 141.02/40.99  thf(sk14_decl, type, sk14: ($i > (($i > $o) > $i))).
% 141.02/40.99  thf(sk15_decl, type, sk15: ($i > (($i > $o) > $i))).
% 141.02/40.99  thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 141.02/40.99  thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 141.02/40.99  thf(mimpl_def, definition, mimpl = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 141.02/40.99  thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 141.02/40.99  thf(mall_def, definition, mall = (^ [A:(individuals > ($i > $o)),B:$i]: ! [C:individuals]: (A @ C @ B)) ).
% 141.02/40.99  thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 141.02/40.99  thf(cs4_atom_def, definition, cs4_atom = (mbox @ reli) ).
% 141.02/40.99  thf(cs4_impl_def, definition, cs4_impl = (^ [A:($i > $o),B:($i > $o)]: (mbox @ reli @ (mimpl @ A @ B))) ).
% 141.02/40.99  thf(cs4_all_def, definition, cs4_all = (^ [A:(individuals > ($i > $o))]: (mbox @ reli @ (mall @ A))) ).
% 141.02/40.99  thf(cs4_box_def, definition, cs4_box = (^ [A:($i > $o)]: (mbox @ reli @ (mbox @ relr @ A))) ).
% 141.02/40.99  thf(cs4_valid_def, definition, cs4_valid = (mvalid) ).
% 141.02/40.99  thf(bl_atom_def, definition, bl_atom = (cs4_atom) ).
% 141.02/40.99  thf(bl_princ_def, definition, bl_princ = (cs4_atom) ).
% 141.02/40.99  thf(bl_impl_def, definition, bl_impl = (cs4_impl) ).
% 141.02/40.99  thf(bl_says_def, definition, bl_says = (^ [A:individuals,B:($i > $o)]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ A)) @ B))) ).
% 141.02/40.99  thf(bl_valid_def, definition, bl_valid = (mvalid) ).
% 141.02/40.99  thf(sk1_def, definition, sk1 = (@+ [A:individuals]: ~ (! [B:($i > $o),C:$i,D:$i]: ((reli @ C @ D) => (! [E:$i]: ((relr @ D @ E) => (! [F:$i]: ((reli @ E @ F) => (~ (! [G:$i]: ((reli @ F @ G) => (princ_inj @ A @ G))) | ! [G:$i]: ((reli @ F @ G) => (~ (! [H:$i]: ((reli @ G @ H) => (! [I:$i]: ((relr @ H @ I) => (! [J:$i]: ((reli @ I @ J) => (~ (! [K:$i]: ((reli @ J @ K) => (princ_inj @ A @ K))) | ! [K:$i]: ((reli @ J @ K) => (B @ K))))))))) | ! [H:$i]: ((reli @ G @ H) => (B @ H)))))))))))) ).
% 141.02/40.99  thf(sk2_def, definition, sk2 = (@+ [A:($i > $o)]: ~ (! [B:$i,C:$i]: ((reli @ B @ C) => (! [D:$i]: ((relr @ C @ D) => (! [E:$i]: ((reli @ D @ E) => (~ (! [F:$i]: ((reli @ E @ F) => (princ_inj @ sk1 @ F))) | ! [F:$i]: ((reli @ E @ F) => (~ (! [G:$i]: ((reli @ F @ G) => (! [H:$i]: ((relr @ G @ H) => (! [I:$i]: ((reli @ H @ I) => (~ (! [J:$i]: ((reli @ I @ J) => (princ_inj @ sk1 @ J))) | ! [J:$i]: ((reli @ I @ J) => (A @ J))))))))) | ! [G:$i]: ((reli @ F @ G) => (A @ G)))))))))))) ).
% 141.02/40.99  thf(sk3_def, definition, sk3 = (@+ [A:$i]: ~ (! [B:$i]: ((reli @ A @ B) => (! [C:$i]: ((relr @ B @ C) => (! [D:$i]: ((reli @ C @ D) => (~ (! [E:$i]: ((reli @ D @ E) => (princ_inj @ sk1 @ E))) | ! [E:$i]: ((reli @ D @ E) => (~ (! [F:$i]: ((reli @ E @ F) => (! [G:$i]: ((relr @ F @ G) => (! [H:$i]: ((reli @ G @ H) => (~ (! [I:$i]: ((reli @ H @ I) => (princ_inj @ sk1 @ I))) | ! [I:$i]: ((reli @ H @ I) => (sk2 @ I))))))))) | ! [F:$i]: ((reli @ E @ F) => (sk2 @ F)))))))))))) ).
% 141.02/40.99  thf(sk4_def, definition, sk4 = (@+ [A:$i]: ~ ((reli @ sk3 @ A) => (! [B:$i]: ((relr @ A @ B) => (! [C:$i]: ((reli @ B @ C) => (~ (! [D:$i]: ((reli @ C @ D) => (princ_inj @ sk1 @ D))) | ! [D:$i]: ((reli @ C @ D) => (~ (! [E:$i]: ((reli @ D @ E) => (! [F:$i]: ((relr @ E @ F) => (! [G:$i]: ((reli @ F @ G) => (~ (! [H:$i]: ((reli @ G @ H) => (princ_inj @ sk1 @ H))) | ! [H:$i]: ((reli @ G @ H) => (sk2 @ H))))))))) | ! [E:$i]: ((reli @ D @ E) => (sk2 @ E))))))))))) ).
% 141.02/40.99  thf(sk5_def, definition, sk5 = (@+ [A:$i]: ~ ((relr @ sk4 @ A) => (! [B:$i]: ((reli @ A @ B) => (~ (! [C:$i]: ((reli @ B @ C) => (princ_inj @ sk1 @ C))) | ! [C:$i]: ((reli @ B @ C) => (~ (! [D:$i]: ((reli @ C @ D) => (! [E:$i]: ((relr @ D @ E) => (! [F:$i]: ((reli @ E @ F) => (~ (! [G:$i]: ((reli @ F @ G) => (princ_inj @ sk1 @ G))) | ! [G:$i]: ((reli @ F @ G) => (sk2 @ G))))))))) | ! [D:$i]: ((reli @ C @ D) => (sk2 @ D))))))))) ).
% 141.02/40.99  thf(sk6_def, definition, sk6 = (@+ [A:$i]: ~ ((reli @ sk5 @ A) => (~ (! [B:$i]: ((reli @ A @ B) => (princ_inj @ sk1 @ B))) | ! [B:$i]: ((reli @ A @ B) => (~ (! [C:$i]: ((reli @ B @ C) => (! [D:$i]: ((relr @ C @ D) => (! [E:$i]: ((reli @ D @ E) => (~ (! [F:$i]: ((reli @ E @ F) => (princ_inj @ sk1 @ F))) | ! [F:$i]: ((reli @ E @ F) => (sk2 @ F))))))))) | ! [C:$i]: ((reli @ B @ C) => (sk2 @ C))))))) ).
% 141.02/40.99  thf(sk7_def, definition, sk7 = (@+ [A:$i]: ~ ((reli @ sk6 @ A) => (~ (! [B:$i]: ((reli @ A @ B) => (! [C:$i]: ((relr @ B @ C) => (! [D:$i]: ((reli @ C @ D) => (~ (! [E:$i]: ((reli @ D @ E) => (princ_inj @ sk1 @ E))) | ! [E:$i]: ((reli @ D @ E) => (sk2 @ E))))))))) | ! [B:$i]: ((reli @ A @ B) => (sk2 @ B))))) ).
% 141.02/40.99  thf(sk8_def, definition, sk8 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ~ ((reli @ A @ D) => (princ_inj @ sk1 @ D)))) ).
% 141.02/40.99  thf(sk9_def, definition, sk9 = (@+ [A:$i]: ~ ((reli @ sk7 @ A) => (sk2 @ A))) ).
% 141.02/40.99  thf(sk10_def, definition, sk10 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((reli @ A @ C) => (B @ C)))) ).
% 141.02/40.99  thf(sk11_def, definition, sk11 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((relr @ A @ C) => (B @ C)))) ).
% 141.02/40.99  thf(sk12_def, definition, sk12 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((reli @ A @ C) => (B @ C)))) ).
% 141.02/40.99  thf(sk13_def, definition, sk13 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((relr @ A @ C) => (B @ C)))) ).
% 141.02/40.99  thf(sk14_def, definition, sk14 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((reli @ A @ C) => (! [D:$i]: ((relr @ C @ D) => (B @ D)))))) ).
% 141.02/40.99  thf(sk15_def, definition, sk15 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((relr @ (sk14 @ A @ B) @ C) => (B @ C)))) ).
% 141.02/40.99  thf(3,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ reli @ A) @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_i)).
% 141.02/40.99  thf(22,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((reli @ B @ C) => (A @ C))) | (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
% 141.02/40.99  thf(23,plain,(! [B:$i,A:($i > $o)] : ((((reli @ B @ (sk10 @ B @ (A))) | (A @ B)) & (~ (A @ (sk10 @ B @ (A))) | (A @ B))))),inference(cnf,[status(esa)],[22])).
% 141.02/40.99  thf(24,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (A @ B))),inference(cnfConj,[status(thm)],[23])).
% 141.02/40.99  thf(1,conjecture,((! [A:individuals,B:($i > $o)]: (bl_valid @ (bl_says @ A @ (bl_impl @ (bl_says @ A @ (bl_atom @ B)) @ (bl_atom @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_conceit)).
% 141.02/40.99  thf(2,negated_conjecture,((~ (! [A:individuals,B:($i > $o)]: (bl_valid @ (bl_says @ A @ (bl_impl @ (bl_says @ A @ (bl_atom @ B)) @ (bl_atom @ B))))))),inference(neg_conjecture,[status(cth)],[1])).
% 141.02/40.99  thf(9,plain,((~ (! [A:individuals,B:($i > $o),C:$i,D:$i]: ((reli @ C @ D) => (! [E:$i]: ((relr @ D @ E) => (! [F:$i]: ((reli @ E @ F) => (~ (! [G:$i]: ((reli @ F @ G) => (princ_inj @ A @ G))) | ! [G:$i]: ((reli @ F @ G) => (~ (! [H:$i]: ((reli @ G @ H) => (! [I:$i]: ((relr @ H @ I) => (! [J:$i]: ((reli @ I @ J) => (~ (! [K:$i]: ((reli @ J @ K) => (princ_inj @ A @ K))) | ! [K:$i]: ((reli @ J @ K) => (B @ K))))))))) | ! [H:$i]: ((reli @ G @ H) => (B @ H))))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 141.02/40.99  thf(10,plain,(! [E:$i,D:$i,C:$i,B:$i,A:$i] : (((reli @ sk3 @ sk4) & (relr @ sk4 @ sk5) & (reli @ sk5 @ sk6) & (~ (reli @ sk6 @ A) | (princ_inj @ sk1 @ A)) & (reli @ sk6 @ sk7) & (~ (reli @ sk7 @ B) | ~ (relr @ B @ C) | ~ (reli @ C @ D) | (reli @ D @ (sk8 @ D @ C @ B)) | ~ (reli @ D @ E) | (sk2 @ E)) & (~ (reli @ sk7 @ B) | ~ (relr @ B @ C) | ~ (reli @ C @ D) | ~ (princ_inj @ sk1 @ (sk8 @ D @ C @ B)) | ~ (reli @ D @ E) | (sk2 @ E)) & (reli @ sk7 @ sk9) & ~ (sk2 @ sk9)))),inference(cnf,[status(esa)],[9])).
% 141.02/40.99  thf(13,plain,((reli @ sk5 @ sk6)),inference(cnfConj,[status(thm)],[10])).
% 141.02/40.99  thf(5,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ reli @ A) @ (mbox @ reli @ (mbox @ reli @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom_i)).
% 141.02/40.99  thf(34,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((reli @ B @ C) => (A @ C))) | ! [C:$i]: ((reli @ B @ C) => (! [D:$i]: ((reli @ C @ D) => (A @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
% 141.02/40.99  thf(35,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((((reli @ B @ (sk12 @ B @ (A))) | ~ (reli @ B @ C) | ~ (reli @ C @ D) | (A @ D)) & (~ (A @ (sk12 @ B @ (A))) | ~ (reli @ B @ C) | ~ (reli @ C @ D) | (A @ D))))),inference(cnf,[status(esa)],[34])).
% 141.02/40.99  thf(37,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((~ (A @ (sk12 @ B @ (A)))) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (A @ D))),inference(cnfConj,[status(thm)],[35])).
% 141.02/40.99  thf(18,plain,((~ (sk2 @ sk9))),inference(cnfConj,[status(thm)],[10])).
% 141.02/40.99  thf(2775,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((~ (A @ (sk12 @ B @ (A)))) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | ~ (($true)) | ((A @ D) != (sk2 @ sk9)))),inference(paramod_ordered,[status(thm)],[37,18])).
% 141.02/40.99  thf(2776,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((~ (A @ (sk12 @ B @ (A)))) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | ((A @ D) != (sk2 @ sk9)))),inference(simp,[status(thm)],[2775])).
% 141.02/40.99  thf(2948,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | (~ (reli @ B @ sk9)))),inference(pre_uni,[status(thm)],[2776:[bind(A, $thf(sk2)),bind(B, $thf(B)),bind(C, $thf(C)),bind(D, $thf(sk9))]])).
% 141.02/40.99  thf(3131,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | (~ (reli @ B @ sk9)))),inference(simp,[status(thm)],[2948])).
% 141.02/40.99  thf(3389,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ~ (($true)) | (~ (reli @ B @ sk9)) | ((reli @ sk5 @ sk6) != (reli @ A @ B)))),inference(paramod_ordered,[status(thm)],[13,3131])).
% 141.02/40.99  thf(3390,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ B @ sk9)) | ((reli @ sk5 @ sk6) != (reli @ A @ B)))),inference(simp,[status(thm)],[3389])).
% 141.02/40.99  thf(3391,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (~ (reli @ sk6 @ sk9))),inference(pattern_uni,[status(thm)],[3390:[bind(A, $thf(sk5)),bind(B, $thf(sk6))]])).
% 141.02/40.99  thf(4131,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (~ (reli @ sk6 @ sk9)) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3391])).
% 141.02/40.99  thf(4132,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (reli @ sk6 @ sk9)) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4131])).
% 141.02/40.99  thf(4188,plain,((reli @ sk5 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (~ (reli @ sk6 @ sk9))),inference(pre_uni,[status(thm)],[4132:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/40.99  thf(12,plain,((reli @ sk7 @ sk9)),inference(cnfConj,[status(thm)],[10])).
% 141.02/40.99  thf(17,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (princ_inj @ sk1 @ A))),inference(cnfConj,[status(thm)],[10])).
% 141.02/40.99  thf(447,plain,(! [C:$i,B:$i,A:($i > $o)] : ((A @ B) | ~ (($true)) | (princ_inj @ sk1 @ C) | ((reli @ B @ (sk10 @ B @ (A))) != (reli @ sk6 @ C)))),inference(paramod_ordered,[status(thm)],[24,17])).
% 141.02/40.99  thf(448,plain,(! [C:$i,B:$i,A:($i > $o)] : ((A @ B) | (princ_inj @ sk1 @ C) | ((reli @ B @ (sk10 @ B @ (A))) != (reli @ sk6 @ C)))),inference(simp,[status(thm)],[447])).
% 141.02/40.99  thf(449,plain,(! [A:($i > $o)] : ((A @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (A))))),inference(pattern_uni,[status(thm)],[448:[bind(A, $thf(E)),bind(B, $thf(sk6)),bind(C, $thf(sk10 @ sk6 @ (E)))]])).
% 141.02/40.99  thf(506,plain,(! [A:($i > $o)] : ((A @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (A))))),inference(simp,[status(thm)],[449])).
% 141.02/40.99  thf(25,plain,(! [B:$i,A:($i > $o)] : ((~ (A @ (sk10 @ B @ (A)))) | (A @ B))),inference(cnfConj,[status(thm)],[23])).
% 141.02/40.99  thf(840,plain,(! [C:$i,B:($i > $o),A:($i > $o)] : ((A @ sk6) | ~ (($true)) | (B @ C) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) != (B @ (sk10 @ C @ (B)))))),inference(paramod_ordered,[status(thm)],[506,25])).
% 141.02/40.99  thf(841,plain,(! [C:$i,B:($i > $o),A:($i > $o)] : ((A @ sk6) | (B @ C) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) != (B @ (sk10 @ C @ (B)))))),inference(simp,[status(thm)],[840])).
% 141.02/40.99  thf(887,plain,((princ_inj @ sk1 @ sk6) | (princ_inj @ sk1 @ sk6)),inference(pre_uni,[status(thm)],[841:[bind(A, $thf(princ_inj @ sk1)),bind(B, $thf(princ_inj @ sk1)),bind(C, $thf(sk6))]])).
% 141.02/40.99  thf(947,plain,((princ_inj @ sk1 @ sk6)),inference(simp,[status(thm)],[887])).
% 141.02/40.99  thf(15,plain,((relr @ sk4 @ sk5)),inference(cnfConj,[status(thm)],[10])).
% 141.02/40.99  thf(16,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D))),inference(cnfConj,[status(thm)],[10])).
% 141.02/40.99  thf(21,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D))),inference(simp,[status(thm)],[16])).
% 141.02/40.99  thf(69,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | ~ (($true)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ C @ D)))),inference(paramod_ordered,[status(thm)],[12,21])).
% 141.02/40.99  thf(70,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ C @ D)))),inference(simp,[status(thm)],[69])).
% 141.02/40.99  thf(71,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ B @ A))) | (sk2 @ sk9))),inference(pattern_uni,[status(thm)],[70:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk7)),bind(D, $thf(sk9))]])).
% 141.02/40.99  thf(19947,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ B @ A))) | ($false))),inference(rewrite,[status(thm)],[71,18])).
% 141.02/40.99  thf(19948,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ B @ A))))),inference(simp,[status(thm)],[19947])).
% 141.02/40.99  thf(20292,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | ~ (($true)) | (~ (reli @ B @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ B @ A))) | ((relr @ sk4 @ sk5) != (relr @ A @ B)))),inference(paramod_ordered,[status(thm)],[15,19948])).
% 141.02/40.99  thf(20293,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (reli @ B @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ B @ A))) | ((relr @ sk4 @ sk5) != (relr @ A @ B)))),inference(simp,[status(thm)],[20292])).
% 141.02/40.99  thf(20294,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)))),inference(pattern_uni,[status(thm)],[20293:[bind(A, $thf(sk4)),bind(B, $thf(sk5))]])).
% 141.02/40.99  thf(62161,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | ~ (($true)) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk6))),inference(paramod_ordered,[status(thm)],[947,20294])).
% 141.02/40.99  thf(62162,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk6))),inference(simp,[status(thm)],[62161])).
% 141.02/40.99  thf(62492,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6)),inference(simp,[status(thm)],[62162])).
% 141.02/40.99  thf(62614,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6)),inference(simp,[status(thm)],[62492])).
% 141.02/40.99  thf(69252,plain,(~ (($true)) | (~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,62614])).
% 141.02/40.99  thf(69253,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[69252])).
% 141.02/40.99  thf(69518,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[69253])).
% 141.02/40.99  thf(69594,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4)),inference(simp,[status(thm)],[69518])).
% 141.02/40.99  thf(3397,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ~ (($true)) | ((reli @ sk7 @ sk9) != (reli @ B @ sk9)))),inference(paramod_ordered,[status(thm)],[12,3131])).
% 141.02/40.99  thf(3398,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ((reli @ sk7 @ sk9) != (reli @ B @ sk9)))),inference(simp,[status(thm)],[3397])).
% 141.02/40.99  thf(3399,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ sk7)))),inference(pattern_uni,[status(thm)],[3398:[bind(A, $thf(A)),bind(B, $thf(sk7))]])).
% 141.02/40.99  thf(400,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((A @ B) != (sk2 @ sk9)))),inference(paramod_ordered,[status(thm)],[24,18])).
% 141.02/40.99  thf(401,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((A @ B) != (sk2 @ sk9)))),inference(simp,[status(thm)],[400])).
% 141.02/40.99  thf(492,plain,((reli @ sk9 @ (sk10 @ sk9 @ (sk2)))),inference(pre_uni,[status(thm)],[401:[bind(A, $thf(sk2)),bind(B, $thf(sk9))]])).
% 141.02/40.99  thf(8,axiom,((cs4_valid @ (cs4_all @ (^ [A:individuals]: (cs4_impl @ (princ_inj @ A) @ (princ_inj @ loca)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',loca_strength)).
% 141.02/40.99  thf(53,plain,((! [A:$i,B:$i]: ((reli @ A @ B) => (! [C:individuals,D:$i]: ((reli @ B @ D) => (~ (princ_inj @ C @ D) | (princ_inj @ loca @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
% 141.02/40.99  thf(54,plain,(! [D:$i,C:individuals,B:$i,A:$i] : ((~ (reli @ A @ B)) | (~ (reli @ B @ D)) | (~ (princ_inj @ C @ D)) | (princ_inj @ loca @ D))),inference(cnf,[status(esa)],[53])).
% 141.02/40.99  thf(15893,plain,(! [D:$i,C:individuals,B:$i,A:$i] : ((~ (reli @ A @ B)) | ~ (($true)) | (~ (princ_inj @ C @ D)) | (princ_inj @ loca @ D) | ((reli @ sk5 @ sk6) != (reli @ B @ D)))),inference(paramod_ordered,[status(thm)],[13,54])).
% 141.02/40.99  thf(15894,plain,(! [D:$i,C:individuals,B:$i,A:$i] : ((~ (reli @ A @ B)) | (~ (princ_inj @ C @ D)) | (princ_inj @ loca @ D) | ((reli @ sk5 @ sk6) != (reli @ B @ D)))),inference(simp,[status(thm)],[15893])).
% 141.02/40.99  thf(15895,plain,(! [B:individuals,A:$i] : ((~ (reli @ A @ sk5)) | (~ (princ_inj @ B @ sk6)) | (princ_inj @ loca @ sk6))),inference(pattern_uni,[status(thm)],[15894:[bind(A, $thf(A)),bind(B, $thf(sk5)),bind(C, $thf(C)),bind(D, $thf(sk6))]])).
% 141.02/40.99  thf(16115,plain,(! [B:individuals,A:$i] : ((~ (reli @ A @ sk5)) | (~ (princ_inj @ B @ sk6)) | (princ_inj @ loca @ sk6))),inference(simp,[status(thm)],[15895])).
% 141.02/40.99  thf(92732,plain,(! [B:individuals,A:$i] : ((~ (reli @ A @ sk5)) | ~ (($true)) | (princ_inj @ loca @ sk6) | ((princ_inj @ sk1 @ sk6) != (princ_inj @ B @ sk6)))),inference(paramod_ordered,[status(thm)],[947,16115])).
% 141.02/40.99  thf(92733,plain,(! [B:individuals,A:$i] : ((~ (reli @ A @ sk5)) | (princ_inj @ loca @ sk6) | ((princ_inj @ sk1 @ sk6) != (princ_inj @ B @ sk6)))),inference(simp,[status(thm)],[92732])).
% 141.02/40.99  thf(92734,plain,(! [A:$i] : ((~ (reli @ A @ sk5)) | (princ_inj @ loca @ sk6))),inference(pattern_uni,[status(thm)],[92733:[bind(A, $thf(A)),bind(B, $thf(sk1))]])).
% 141.02/40.99  thf(874,plain,(! [A:($i > $o)] : ((~ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))))),inference(prim_subst,[status(thm)],[506:[bind(A, $thf(^ [C:$i]: ~ (B @ C)))]])).
% 141.02/40.99  thf(934,plain,(! [A:($i > $o)] : ((~ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))))),inference(cnf,[status(esa)],[874])).
% 141.02/40.99  thf(935,plain,(! [A:($i > $o)] : ((~ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))))),inference(simp,[status(thm)],[934])).
% 141.02/40.99  thf(93564,plain,(! [B:($i > $o),A:$i] : ((~ (reli @ A @ sk5)) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (B @ C)))) | ((princ_inj @ loca @ sk6) != (B @ sk6)))),inference(paramod_ordered,[status(thm)],[92734,935])).
% 141.02/40.99  thf(93565,plain,(! [B:($i > $o),A:$i] : ((~ (reli @ A @ sk5)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (B @ C)))) | ((princ_inj @ loca @ sk6) != (B @ sk6)))),inference(simp,[status(thm)],[93564])).
% 141.02/40.99  thf(93652,plain,(! [A:$i] : ((~ (reli @ A @ sk5)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (princ_inj @ loca @ B)))))),inference(pre_uni,[status(thm)],[93565:[bind(A, $thf(A)),bind(B, $thf(princ_inj @ loca))]])).
% 141.02/40.99  thf(113821,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (princ_inj @ loca @ B)))) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[492,93652])).
% 141.02/40.99  thf(113822,plain,(! [A:$i] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (princ_inj @ loca @ B)))) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[113821])).
% 141.02/40.99  thf(114085,plain,(! [A:$i] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (princ_inj @ loca @ B)))) | (sk9 != A) | ((sk10 @ sk9 @ (sk2)) != sk5))),inference(simp,[status(thm)],[113822])).
% 141.02/40.99  thf(114219,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ A)))) | ((sk10 @ sk9 @ (sk2)) != sk5)),inference(simp,[status(thm)],[114085])).
% 141.02/40.99  thf(14,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D))),inference(cnfConj,[status(thm)],[10])).
% 141.02/40.99  thf(20,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D))),inference(simp,[status(thm)],[14])).
% 141.02/40.99  thf(185,plain,(! [D:$i,C:$i,B:$i,A:$i] : (~ (($true)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk5 @ sk6)))),inference(paramod_ordered,[status(thm)],[13,20])).
% 141.02/40.99  thf(186,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk5 @ sk6)))),inference(simp,[status(thm)],[185])).
% 141.02/40.99  thf(234,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((reli @ C @ (sk8 @ C @ B @ A)) | (sk2 @ D) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk7 != sk5) | (A != sk6))),inference(simp,[status(thm)],[186])).
% 141.02/40.99  thf(249,plain,(! [C:$i,B:$i,A:$i] : ((reli @ B @ (sk8 @ B @ A @ sk6)) | (sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5))),inference(simp,[status(thm)],[234])).
% 141.02/40.99  thf(93343,plain,(! [C:$i,B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (princ_inj @ loca @ sk6) | ((A @ B) != (reli @ C @ sk5)))),inference(paramod_ordered,[status(thm)],[24,92734])).
% 141.02/40.99  thf(93344,plain,(! [C:$i,B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (princ_inj @ loca @ sk6) | ((A @ B) != (reli @ C @ sk5)))),inference(simp,[status(thm)],[93343])).
% 141.02/40.99  thf(93672,plain,(! [A:($i > $i)] : ((reli @ sk5 @ (sk10 @ sk5 @ (^ [B:$i]: (reli @ (A @ B) @ B)))) | (princ_inj @ loca @ sk6))),inference(pre_uni,[status(thm)],[93344:[bind(A, $thf(^ [E:$i]: (reli @ (D @ E) @ E))),bind(B, $thf(sk5)),bind(C, $thf(D @ sk5))]])).
% 141.02/40.99  thf(93756,plain,(! [A:($i > $i)] : ((reli @ sk5 @ (sk10 @ sk5 @ (^ [B:$i]: (reli @ (A @ B) @ B)))) | (princ_inj @ loca @ sk6))),inference(simp,[status(thm)],[93672])).
% 141.02/40.99  thf(109890,plain,(! [B:$i,A:($i > $i)] : ((princ_inj @ loca @ sk6) | ~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk5 @ (sk10 @ sk5 @ (^ [C:$i]: (reli @ (A @ C) @ C)))) != (reli @ B @ sk5)))),inference(paramod_ordered,[status(thm)],[93756,92734])).
% 141.02/40.99  thf(109891,plain,(! [B:$i,A:($i > $i)] : ((princ_inj @ loca @ sk6) | ((reli @ sk5 @ (sk10 @ sk5 @ (^ [C:$i]: (reli @ (A @ C) @ C)))) != (reli @ B @ sk5)))),inference(simp,[status(thm)],[109890])).
% 141.02/40.99  thf(110028,plain,(! [B:$i,A:($i > $i)] : ((princ_inj @ loca @ sk6) | (sk5 != B) | ((sk10 @ sk5 @ (^ [C:$i]: (reli @ (A @ C) @ C))) != sk5))),inference(simp,[status(thm)],[109891])).
% 141.02/40.99  thf(110220,plain,(! [A:($i > $i)] : ((princ_inj @ loca @ sk6) | ((sk10 @ sk5 @ (^ [B:$i]: (reli @ (A @ B) @ B))) != sk5))),inference(simp,[status(thm)],[110028])).
% 141.02/40.99  thf(1023,plain,(! [A:($i > $o)] : (~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((reli @ sk5 @ sk6) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[13,935])).
% 141.02/40.99  thf(1024,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((reli @ sk5 @ sk6) != (A @ sk6)))),inference(simp,[status(thm)],[1023])).
% 141.02/41.00  thf(1110,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (reli @ sk5 @ A))))),inference(pre_uni,[status(thm)],[1024:[bind(A, $thf(reli @ sk5))]])).
% 141.02/41.00  thf(11,plain,((reli @ sk3 @ sk4)),inference(cnfConj,[status(thm)],[10])).
% 141.02/41.00  thf(72,plain,(! [D:$i,C:$i,B:$i,A:$i] : (~ (($true)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk3 @ sk4)))),inference(paramod_ordered,[status(thm)],[11,21])).
% 141.02/41.00  thf(73,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk3 @ sk4)))),inference(simp,[status(thm)],[72])).
% 141.02/41.00  thf(83,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk7 != sk3) | (A != sk4))),inference(simp,[status(thm)],[73])).
% 141.02/41.00  thf(88,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk4 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk4))) | (~ (reli @ B @ C)) | (sk7 != sk3))),inference(simp,[status(thm)],[83])).
% 141.02/41.00  thf(4,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ relr @ A) @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_r)).
% 141.02/41.00  thf(28,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((relr @ B @ C) => (A @ C))) | (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
% 141.02/41.00  thf(29,plain,(! [B:$i,A:($i > $o)] : ((((relr @ B @ (sk11 @ B @ (A))) | (A @ B)) & (~ (A @ (sk11 @ B @ (A))) | (A @ B))))),inference(cnf,[status(esa)],[28])).
% 141.02/41.00  thf(30,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (A @ B))),inference(cnfConj,[status(thm)],[29])).
% 141.02/41.00  thf(3394,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ~ (($true)) | (~ (reli @ B @ sk9)) | ((reli @ sk7 @ sk9) != (reli @ A @ B)))),inference(paramod_ordered,[status(thm)],[12,3131])).
% 141.02/41.00  thf(3395,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ B @ sk9)) | ((reli @ sk7 @ sk9) != (reli @ A @ B)))),inference(simp,[status(thm)],[3394])).
% 141.02/41.00  thf(3396,plain,((~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | (~ (reli @ sk9 @ sk9))),inference(pattern_uni,[status(thm)],[3395:[bind(A, $thf(sk7)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(4313,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | ~ (($true)) | ((A @ B) != (reli @ sk9 @ sk9)))),inference(paramod_ordered,[status(thm)],[24,3396])).
% 141.02/41.00  thf(4314,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | ((A @ B) != (reli @ sk9 @ sk9)))),inference(simp,[status(thm)],[4313])).
% 141.02/41.00  thf(4384,plain,((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk9))) | (~ (sk2 @ (sk12 @ sk7 @ (sk2))))),inference(pre_uni,[status(thm)],[4314:[bind(A, $thf(reli @ sk9)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(23558,plain,(! [B:$i,A:($i > $o)] : ((~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | ~ (($true)) | (A @ B) | ((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk9))) != (A @ (sk10 @ B @ (A)))))),inference(paramod_ordered,[status(thm)],[4384,25])).
% 141.02/41.00  thf(23559,plain,(! [B:$i,A:($i > $o)] : ((~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | (A @ B) | ((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk9))) != (A @ (sk10 @ B @ (A)))))),inference(simp,[status(thm)],[23558])).
% 141.02/41.00  thf(23747,plain,((~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | (reli @ sk9 @ sk9)),inference(pre_uni,[status(thm)],[23559:[bind(A, $thf(reli @ sk9)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(24179,plain,((~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | (~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | ~ (($true)) | ((reli @ sk9 @ sk9) != (reli @ sk9 @ sk9))),inference(paramod_ordered,[status(thm)],[23747,3396])).
% 141.02/41.00  thf(24180,plain,((~ (sk2 @ (sk12 @ sk7 @ (sk2)))) | ((reli @ sk9 @ sk9) != (reli @ sk9 @ sk9))),inference(simp,[status(thm)],[24179])).
% 141.02/41.00  thf(24181,plain,((~ (sk2 @ (sk12 @ sk7 @ (sk2))))),inference(pattern_uni,[status(thm)],[24180:[]])).
% 141.02/41.00  thf(24414,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk7 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,24181])).
% 141.02/41.00  thf(24415,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((A @ B) != (sk2 @ (sk12 @ sk7 @ (sk2)))))),inference(simp,[status(thm)],[24414])).
% 141.02/41.00  thf(24432,plain,((relr @ sk7 @ (sk11 @ sk7 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[24415:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk7))]])).
% 141.02/41.00  thf(55,plain,(! [D:$i,C:$i,B:$i,A:$i] : (~ (($true)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk5 @ sk6)))),inference(paramod_ordered,[status(thm)],[13,21])).
% 141.02/41.00  thf(56,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk5 @ sk6)))),inference(simp,[status(thm)],[55])).
% 141.02/41.00  thf(82,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk7 != sk5) | (A != sk6))),inference(simp,[status(thm)],[56])).
% 141.02/41.00  thf(87,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5))),inference(simp,[status(thm)],[82])).
% 141.02/41.00  thf(112,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (sk7 != sk5) | ((reli @ B @ C) != (reli @ A @ B)) | ~ (($true)))),inference(eqfactor_ordered,[status(thm)],[87])).
% 141.02/41.00  thf(113,plain,(! [A:$i] : ((sk2 @ A) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ A @ A @ sk6))) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[112:[bind(A, $thf(C)),bind(B, $thf(C))]])).
% 141.02/41.00  thf(115,plain,(! [A:$i] : ((sk2 @ A) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ A @ A @ sk6))) | (sk7 != sk5))),inference(simp,[status(thm)],[113])).
% 141.02/41.00  thf(19,plain,((reli @ sk6 @ sk7)),inference(cnfConj,[status(thm)],[10])).
% 141.02/41.00  thf(103,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | ~ (($true)) | (sk7 != sk5) | ((reli @ sk7 @ sk9) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[12,87])).
% 141.02/41.00  thf(104,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (sk7 != sk5) | ((reli @ sk7 @ sk9) != (reli @ B @ C)))),inference(simp,[status(thm)],[103])).
% 141.02/41.00  thf(105,plain,(! [A:$i] : ((sk2 @ sk9) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ A @ sk6))) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[104:[bind(A, $thf(A)),bind(B, $thf(sk7)),bind(C, $thf(sk9))]])).
% 141.02/41.00  thf(34961,plain,(! [A:$i] : (($false) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ A @ sk6))) | (sk7 != sk5))),inference(rewrite,[status(thm)],[105,18])).
% 141.02/41.00  thf(34962,plain,(! [A:$i] : ((~ (relr @ sk6 @ A)) | (~ (reli @ A @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ A @ sk6))) | (sk7 != sk5))),inference(simp,[status(thm)],[34961])).
% 141.02/41.00  thf(35228,plain,(! [A:$i] : ((~ (relr @ sk6 @ A)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ A @ sk6))) | (sk7 != sk5) | ((reli @ sk6 @ sk7) != (reli @ A @ sk7)))),inference(paramod_ordered,[status(thm)],[19,34962])).
% 141.02/41.00  thf(35229,plain,(! [A:$i] : ((~ (relr @ sk6 @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ A @ sk6))) | (sk7 != sk5) | ((reli @ sk6 @ sk7) != (reli @ A @ sk7)))),inference(simp,[status(thm)],[35228])).
% 141.02/41.00  thf(35230,plain,((~ (relr @ sk6 @ sk6)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ sk6))) | (sk7 != sk5)),inference(pattern_uni,[status(thm)],[35229:[bind(A, $thf(sk6))]])).
% 141.02/41.00  thf(35872,plain,((~ (relr @ sk6 @ sk6)) | ~ (($true)) | (sk7 != sk5) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ sk6)) != (princ_inj @ sk1 @ sk6))),inference(paramod_ordered,[status(thm)],[947,35230])).
% 141.02/41.00  thf(35873,plain,((~ (relr @ sk6 @ sk6)) | (sk7 != sk5) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ sk6)) != (princ_inj @ sk1 @ sk6))),inference(simp,[status(thm)],[35872])).
% 141.02/41.00  thf(35992,plain,((~ (relr @ sk6 @ sk6)) | (sk7 != sk5) | (sk1 != sk1) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6)),inference(simp,[status(thm)],[35873])).
% 141.02/41.00  thf(36162,plain,((~ (relr @ sk6 @ sk6)) | (sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6)),inference(simp,[status(thm)],[35992])).
% 141.02/41.00  thf(453,plain,(! [A:$i] : ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) | ($false))),inference(prim_subst,[status(thm)],[24:[bind(A, $thf(^ [C:$i]: (($false))))]])).
% 141.02/41.00  thf(507,plain,(! [A:$i] : ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))))),inference(simp,[status(thm)],[453])).
% 141.02/41.00  thf(732,plain,(! [B:$i,A:$i] : (~ (($true)) | (princ_inj @ sk1 @ B) | ((reli @ A @ (sk10 @ A @ (^ [C:$i]: (($false))))) != (reli @ sk6 @ B)))),inference(paramod_ordered,[status(thm)],[507,17])).
% 141.02/41.00  thf(733,plain,(! [B:$i,A:$i] : ((princ_inj @ sk1 @ B) | ((reli @ A @ (sk10 @ A @ (^ [C:$i]: (($false))))) != (reli @ sk6 @ B)))),inference(simp,[status(thm)],[732])).
% 141.02/41.00  thf(734,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (($false)))))),inference(pattern_uni,[status(thm)],[733:[bind(A, $thf(sk6)),bind(B, $thf(sk10 @ sk6 @ (^ [C:$i]: (($false)))))]])).
% 141.02/41.00  thf(62308,plain,((~ (reli @ sk7 @ sk4)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | ((reli @ sk6 @ sk7) != (reli @ sk5 @ sk7))),inference(paramod_ordered,[status(thm)],[19,20294])).
% 141.02/41.00  thf(62309,plain,((~ (reli @ sk7 @ sk4)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | ((reli @ sk6 @ sk7) != (reli @ sk5 @ sk7))),inference(simp,[status(thm)],[62308])).
% 141.02/41.00  thf(62487,plain,((~ (reli @ sk7 @ sk4)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | (sk7 != sk7)),inference(simp,[status(thm)],[62309])).
% 141.02/41.00  thf(62611,plain,((~ (reli @ sk7 @ sk4)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5)),inference(simp,[status(thm)],[62487])).
% 141.02/41.00  thf(62975,plain,(~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,62611])).
% 141.02/41.00  thf(62976,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[62975])).
% 141.02/41.00  thf(63180,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | (sk7 != sk3) | (sk4 != sk4)),inference(simp,[status(thm)],[62976])).
% 141.02/41.00  thf(63320,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | (sk7 != sk3)),inference(simp,[status(thm)],[63180])).
% 141.02/41.00  thf(66081,plain,(~ (($true)) | (sk6 != sk5) | (sk7 != sk3) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (($false))))))),inference(paramod_ordered,[status(thm)],[734,63320])).
% 141.02/41.00  thf(66082,plain,((sk6 != sk5) | (sk7 != sk3) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (($false))))))),inference(simp,[status(thm)],[66081])).
% 141.02/41.00  thf(66326,plain,((sk6 != sk5) | (sk7 != sk3) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != (sk10 @ sk6 @ (^ [A:$i]: (($false)))))),inference(simp,[status(thm)],[66082])).
% 141.02/41.00  thf(66360,plain,((sk6 != sk5) | (sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != (sk10 @ sk6 @ (^ [A:$i]: (($false)))))),inference(simp,[status(thm)],[66326])).
% 141.02/41.00  thf(167,plain,(! [H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | ~ (($true)) | (~ (relr @ E @ F)) | (~ (reli @ F @ G)) | (reli @ G @ (sk8 @ G @ F @ E)) | (~ (reli @ G @ H)) | (sk2 @ H) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ sk7 @ E)))),inference(paramod_ordered,[status(thm)],[20,20])).
% 141.02/41.00  thf(168,plain,(! [H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (~ (relr @ E @ F)) | (~ (reli @ F @ G)) | (reli @ G @ (sk8 @ G @ F @ E)) | (~ (reli @ G @ H)) | (sk2 @ H) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ sk7 @ E)))),inference(simp,[status(thm)],[167])).
% 141.02/41.00  thf(169,plain,(! [F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ F)) | (~ (relr @ F @ E)) | (~ (reli @ E @ sk7)) | (~ (reli @ sk7 @ A)) | (sk2 @ A) | (~ (relr @ (sk8 @ sk7 @ E @ F) @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ (sk8 @ sk7 @ E @ F))) | (~ (reli @ C @ D)) | (sk2 @ D))),inference(pattern_uni,[status(thm)],[168:[bind(A, $thf(K)),bind(B, $thf(J)),bind(C, $thf(sk7)),bind(D, $thf(D)),bind(E, $thf(sk8 @ sk7 @ J @ K)),bind(F, $thf(F)),bind(G, $thf(G)),bind(H, $thf(H))]])).
% 141.02/41.00  thf(247,plain,(! [F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ F)) | (~ (relr @ F @ E)) | (~ (reli @ E @ sk7)) | (~ (reli @ sk7 @ A)) | (sk2 @ A) | (~ (relr @ (sk8 @ sk7 @ E @ F) @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ (sk8 @ sk7 @ E @ F))) | (~ (reli @ C @ D)) | (sk2 @ D))),inference(simp,[status(thm)],[169])).
% 141.02/41.00  thf(3352,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ~ (($true)) | (~ (reli @ B @ sk9)) | ((reli @ sk3 @ sk4) != (reli @ A @ B)))),inference(paramod_ordered,[status(thm)],[11,3131])).
% 141.02/41.00  thf(3353,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ B @ sk9)) | ((reli @ sk3 @ sk4) != (reli @ A @ B)))),inference(simp,[status(thm)],[3352])).
% 141.02/41.00  thf(3354,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (~ (reli @ sk4 @ sk9))),inference(pattern_uni,[status(thm)],[3353:[bind(A, $thf(sk3)),bind(B, $thf(sk4))]])).
% 141.02/41.00  thf(3536,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk4 @ sk9)))),inference(paramod_ordered,[status(thm)],[507,3354])).
% 141.02/41.00  thf(3537,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk4 @ sk9)))),inference(simp,[status(thm)],[3536])).
% 141.02/41.00  thf(3565,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (A != sk4) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk9))),inference(simp,[status(thm)],[3537])).
% 141.02/41.00  thf(3600,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((sk10 @ sk4 @ (^ [A:$i]: (($false)))) != sk9)),inference(simp,[status(thm)],[3565])).
% 141.02/41.00  thf(5653,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk4 @ (^ [C:$i]: (($false)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3600])).
% 141.02/41.00  thf(5654,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((sk10 @ sk4 @ (^ [C:$i]: (($false)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5653])).
% 141.02/41.00  thf(5691,plain,((reli @ (sk12 @ sk3 @ (sk2)) @ (sk10 @ (sk12 @ sk3 @ (sk2)) @ (sk2))) | ((sk10 @ sk4 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[5654:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk3 @ (sk2)))]])).
% 141.02/41.00  thf(3417,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ~ (($true)) | (~ (reli @ B @ sk9)) | ((reli @ sk6 @ sk7) != (reli @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,3131])).
% 141.02/41.00  thf(3418,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ B @ sk9)) | ((reli @ sk6 @ sk7) != (reli @ A @ B)))),inference(simp,[status(thm)],[3417])).
% 141.02/41.00  thf(3419,plain,((~ (sk2 @ (sk12 @ sk6 @ (sk2)))) | (~ (reli @ sk7 @ sk9))),inference(pattern_uni,[status(thm)],[3418:[bind(A, $thf(sk6)),bind(B, $thf(sk7))]])).
% 141.02/41.00  thf(4454,plain,((~ (sk2 @ (sk12 @ sk6 @ (sk2)))) | ~ (($true))),inference(rewrite,[status(thm)],[3419,12])).
% 141.02/41.00  thf(4455,plain,((~ (sk2 @ (sk12 @ sk6 @ (sk2))))),inference(simp,[status(thm)],[4454])).
% 141.02/41.00  thf(4467,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk6 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,4455])).
% 141.02/41.00  thf(4468,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((A @ B) != (sk2 @ (sk12 @ sk6 @ (sk2)))))),inference(simp,[status(thm)],[4467])).
% 141.02/41.00  thf(4479,plain,((relr @ (sk12 @ sk6 @ (sk2)) @ (sk11 @ (sk12 @ sk6 @ (sk2)) @ (sk2)))),inference(pre_uni,[status(thm)],[4468:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk6 @ (sk2)))]])).
% 141.02/41.00  thf(1089,plain,((~ (prop_b @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_b @ A))))),inference(prim_subst,[status(thm)],[935:[bind(A, $thf(prop_b))]])).
% 141.02/41.00  thf(1686,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_b @ B)))) | ((A @ sk6) != (prop_b @ sk6)))),inference(paramod_ordered,[status(thm)],[506,1089])).
% 141.02/41.00  thf(1687,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_b @ B)))) | ((A @ sk6) != (prop_b @ sk6)))),inference(simp,[status(thm)],[1686])).
% 141.02/41.00  thf(1692,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (prop_b @ sk6)))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_b @ A))))),inference(pre_uni,[status(thm)],[1687:[bind(A, $thf(^ [B:$i]: (prop_b @ sk6)))]])).
% 141.02/41.00  thf(4147,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ sk7 @ sk9) != (reli @ sk6 @ sk9))),inference(paramod_ordered,[status(thm)],[12,3391])).
% 141.02/41.00  thf(4148,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ sk7 @ sk9) != (reli @ sk6 @ sk9))),inference(simp,[status(thm)],[4147])).
% 141.02/41.00  thf(4195,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk7 != sk6) | (sk9 != sk9)),inference(simp,[status(thm)],[4148])).
% 141.02/41.00  thf(4220,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk7 != sk6)),inference(simp,[status(thm)],[4195])).
% 141.02/41.00  thf(3550,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((A @ B) != (reli @ sk4 @ sk9)))),inference(paramod_ordered,[status(thm)],[30,3354])).
% 141.02/41.00  thf(3551,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((A @ B) != (reli @ sk4 @ sk9)))),inference(simp,[status(thm)],[3550])).
% 141.02/41.00  thf(3577,plain,((relr @ sk4 @ (sk11 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9)))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2))))),inference(pre_uni,[status(thm)],[3551:[bind(A, $thf(^ [C:$i]: (reli @ C @ sk9))),bind(B, $thf(sk4))]])).
% 141.02/41.00  thf(24430,plain,((relr @ (sk12 @ sk7 @ (sk2)) @ (sk11 @ (sk12 @ sk7 @ (sk2)) @ (sk2)))),inference(pre_uni,[status(thm)],[24415:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk7 @ (sk2)))]])).
% 141.02/41.00  thf(1086,plain,((~ (prop_c @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_c @ A))))),inference(prim_subst,[status(thm)],[935:[bind(A, $thf(prop_c))]])).
% 141.02/41.00  thf(1488,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_c @ C)))) | ((A @ B) != (prop_c @ sk6)))),inference(paramod_ordered,[status(thm)],[24,1086])).
% 141.02/41.00  thf(1489,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_c @ C)))) | ((A @ B) != (prop_c @ sk6)))),inference(simp,[status(thm)],[1488])).
% 141.02/41.00  thf(1507,plain,((reli @ sk6 @ (sk10 @ sk6 @ (prop_c))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_c @ A))))),inference(pre_uni,[status(thm)],[1489:[bind(A, $thf(prop_c)),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(4281,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (sk7 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,4220])).
% 141.02/41.00  thf(4282,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (sk7 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4281])).
% 141.02/41.00  thf(4294,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk7 != sk6)),inference(pre_uni,[status(thm)],[4282:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(4143,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk6 @ sk9)))),inference(paramod_ordered,[status(thm)],[507,3391])).
% 141.02/41.00  thf(4144,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk6 @ sk9)))),inference(simp,[status(thm)],[4143])).
% 141.02/41.00  thf(4196,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (A != sk6) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk9))),inference(simp,[status(thm)],[4144])).
% 141.02/41.00  thf(4221,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((sk10 @ sk6 @ (^ [A:$i]: (($false)))) != sk9)),inference(simp,[status(thm)],[4196])).
% 141.02/41.00  thf(6643,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk6 @ (^ [C:$i]: (($false)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,4221])).
% 141.02/41.00  thf(6644,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((sk10 @ sk6 @ (^ [C:$i]: (($false)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[6643])).
% 141.02/41.00  thf(6680,plain,((reli @ sk5 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk6 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[6644:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(151,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk6 @ A) != (reli @ sk3 @ sk4)))),inference(paramod_ordered,[status(thm)],[11,17])).
% 141.02/41.00  thf(152,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ sk6 @ A) != (reli @ sk3 @ sk4)))),inference(simp,[status(thm)],[151])).
% 141.02/41.00  thf(159,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk6 != sk3) | (A != sk4))),inference(simp,[status(thm)],[152])).
% 141.02/41.00  thf(166,plain,((princ_inj @ sk1 @ sk4) | (sk6 != sk3)),inference(simp,[status(thm)],[159])).
% 141.02/41.00  thf(66117,plain,((sk6 != sk3) | ~ (($true)) | (sk6 != sk5) | (sk7 != sk3) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk4))),inference(paramod_ordered,[status(thm)],[166,63320])).
% 141.02/41.00  thf(66118,plain,((sk6 != sk3) | (sk6 != sk5) | (sk7 != sk3) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk4))),inference(simp,[status(thm)],[66117])).
% 141.02/41.00  thf(66301,plain,((sk6 != sk3) | (sk6 != sk5) | (sk7 != sk3) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk4)),inference(simp,[status(thm)],[66118])).
% 141.02/41.00  thf(66438,plain,((sk6 != sk3) | (sk6 != sk5) | (sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk4)),inference(simp,[status(thm)],[66301])).
% 141.02/41.00  thf(3540,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ sk7 @ sk9) != (reli @ sk4 @ sk9))),inference(paramod_ordered,[status(thm)],[12,3354])).
% 141.02/41.00  thf(3541,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ sk7 @ sk9) != (reli @ sk4 @ sk9))),inference(simp,[status(thm)],[3540])).
% 141.02/41.00  thf(3571,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk7 != sk4) | (sk9 != sk9)),inference(simp,[status(thm)],[3541])).
% 141.02/41.00  thf(3604,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk7 != sk4)),inference(simp,[status(thm)],[3571])).
% 141.02/41.00  thf(3620,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (sk7 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,3604])).
% 141.02/41.00  thf(3621,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (sk7 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[3620])).
% 141.02/41.00  thf(3629,plain,((relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk7 != sk4)),inference(pre_uni,[status(thm)],[3621:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(6,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ relr @ A) @ (mbox @ relr @ (mbox @ relr @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom_r)).
% 141.02/41.00  thf(40,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((relr @ B @ C) => (A @ C))) | ! [C:$i]: ((relr @ B @ C) => (! [D:$i]: ((relr @ C @ D) => (A @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
% 141.02/41.00  thf(41,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((((relr @ B @ (sk13 @ B @ (A))) | ~ (relr @ B @ C) | ~ (relr @ C @ D) | (A @ D)) & (~ (A @ (sk13 @ B @ (A))) | ~ (relr @ B @ C) | ~ (relr @ C @ D) | (A @ D))))),inference(cnf,[status(esa)],[40])).
% 141.02/41.00  thf(42,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((relr @ B @ (sk13 @ B @ (A))) | (~ (relr @ B @ C)) | (~ (relr @ C @ D)) | (A @ D))),inference(cnfConj,[status(thm)],[41])).
% 141.02/41.00  thf(31,plain,(! [B:$i,A:($i > $o)] : ((~ (A @ (sk11 @ B @ (A)))) | (A @ B))),inference(cnfConj,[status(thm)],[29])).
% 141.02/41.00  thf(1586,plain,(! [A:$i] : ((~ (prop_b @ (sk11 @ A @ (prop_b)))) | (prop_b @ A))),inference(prim_subst,[status(thm)],[31:[bind(A, $thf(prop_b))]])).
% 141.02/41.00  thf(1650,plain,(! [A:$i] : ((~ (prop_b @ (sk11 @ A @ (prop_b)))) | (prop_b @ A))),inference(simp,[status(thm)],[1586])).
% 141.02/41.00  thf(179,plain,(! [H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (~ (reli @ sk7 @ E)) | (~ (relr @ E @ F)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ G @ F @ E))) | (~ (reli @ G @ H)) | (sk2 @ H) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ F @ G)))),inference(paramod_ordered,[status(thm)],[20,21])).
% 141.02/41.00  thf(180,plain,(! [H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (~ (reli @ sk7 @ E)) | (~ (relr @ E @ F)) | (~ (princ_inj @ sk1 @ (sk8 @ G @ F @ E))) | (~ (reli @ G @ H)) | (sk2 @ H) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ F @ G)))),inference(simp,[status(thm)],[179])).
% 141.02/41.00  thf(181,plain,(! [F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ F)) | (~ (relr @ F @ E)) | (~ (reli @ E @ D)) | (~ (reli @ D @ A)) | (sk2 @ A) | (~ (reli @ sk7 @ B)) | (~ (relr @ B @ D)) | (~ (princ_inj @ sk1 @ (sk8 @ (sk8 @ D @ E @ F) @ D @ B))) | (~ (reli @ (sk8 @ D @ E @ F) @ C)) | (sk2 @ C))),inference(pattern_uni,[status(thm)],[180:[bind(A, $thf(K)),bind(B, $thf(J)),bind(C, $thf(I)),bind(D, $thf(D)),bind(E, $thf(E)),bind(F, $thf(I)),bind(G, $thf(sk8 @ I @ J @ K))]])).
% 141.02/41.00  thf(257,plain,(! [F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ F)) | (~ (relr @ F @ E)) | (~ (reli @ E @ D)) | (~ (reli @ D @ A)) | (sk2 @ A) | (~ (reli @ sk7 @ B)) | (~ (relr @ B @ D)) | (~ (princ_inj @ sk1 @ (sk8 @ (sk8 @ D @ E @ F) @ D @ B))) | (~ (reli @ (sk8 @ D @ E @ F) @ C)) | (sk2 @ C))),inference(simp,[status(thm)],[181])).
% 141.02/41.00  thf(62915,plain,((~ (reli @ sk7 @ sk4)) | ~ (($true)) | (sk6 != sk5) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk6))),inference(paramod_ordered,[status(thm)],[947,62611])).
% 141.02/41.00  thf(62916,plain,((~ (reli @ sk7 @ sk4)) | (sk6 != sk5) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk6))),inference(simp,[status(thm)],[62915])).
% 141.02/41.00  thf(63114,plain,((~ (reli @ sk7 @ sk4)) | (sk6 != sk5) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6)),inference(simp,[status(thm)],[62916])).
% 141.02/41.00  thf(63273,plain,((~ (reli @ sk7 @ sk4)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6)),inference(simp,[status(thm)],[63114])).
% 141.02/41.00  thf(63426,plain,(~ (($true)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,63273])).
% 141.02/41.00  thf(63427,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[63426])).
% 141.02/41.00  thf(63560,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[63427])).
% 141.02/41.00  thf(63592,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4)),inference(simp,[status(thm)],[63560])).
% 141.02/41.00  thf(1082,plain,((~ (prop_a @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_a @ A))))),inference(prim_subst,[status(thm)],[935:[bind(A, $thf(prop_a))]])).
% 141.02/41.00  thf(1469,plain,(! [A:($i > $o)] : ((~ (prop_a @ sk6)) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_a @ B)))) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[1082,935])).
% 141.02/41.00  thf(1470,plain,(! [A:($i > $o)] : ((~ (prop_a @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_a @ B)))) != (A @ sk6)))),inference(simp,[status(thm)],[1469])).
% 141.02/41.00  thf(1475,plain,((~ (prop_a @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ A @ (^ [B:$i]: ~ (prop_a @ B)))))))),inference(pre_uni,[status(thm)],[1470:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ B @ (^ [C:$i]: ~ (prop_a @ C))))))]])).
% 141.02/41.00  thf(7,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ reli @ (mbox @ relr @ A)) @ (mbox @ relr @ (mbox @ reli @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_i_r_commute)).
% 141.02/41.00  thf(46,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((reli @ B @ C) => (! [D:$i]: ((relr @ C @ D) => (A @ D))))) | ! [C:$i]: ((relr @ B @ C) => (! [D:$i]: ((reli @ C @ D) => (A @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
% 141.02/41.00  thf(47,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((((reli @ B @ (sk14 @ B @ (A))) | ~ (relr @ B @ C) | ~ (reli @ C @ D) | (A @ D)) & ((relr @ (sk14 @ B @ (A)) @ (sk15 @ B @ (A))) | ~ (relr @ B @ C) | ~ (reli @ C @ D) | (A @ D)) & (~ (A @ (sk15 @ B @ (A))) | ~ (relr @ B @ C) | ~ (reli @ C @ D) | (A @ D))))),inference(cnf,[status(esa)],[46])).
% 141.02/41.00  thf(50,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((~ (A @ (sk15 @ B @ (A)))) | (~ (relr @ B @ C)) | (~ (reli @ C @ D)) | (A @ D))),inference(cnfConj,[status(thm)],[47])).
% 141.02/41.00  thf(51,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((~ ((sk15 @ B @ (A)) = (sk15 @ B @ ((=) @ $i @ (sk15 @ B @ A))))) | (~ (relr @ B @ C)) | (~ (reli @ C @ D)) | ((sk15 @ B @ (A)) = D))),inference(replace_leibeq,[status(thm)],[50:[bind(A, $thf((=) @ $i @ (sk15 @ B @ A)))]])).
% 141.02/41.00  thf(52,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : (((sk15 @ B @ (A)) != (sk15 @ B @ ((=) @ $i @ (sk15 @ B @ A)))) | ((sk15 @ B @ (A)) = D) | (~ (relr @ B @ C)) | (~ (reli @ C @ D)))),inference(lifteq,[status(thm)],[51])).
% 141.02/41.00  thf(93419,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk5 @ sk6) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[13,92734])).
% 141.02/41.00  thf(93420,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ sk5 @ sk6) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93419])).
% 141.02/41.00  thf(93680,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | (sk5 != A) | (sk6 != sk5))),inference(simp,[status(thm)],[93420])).
% 141.02/41.00  thf(93762,plain,((princ_inj @ loca @ sk6) | (sk6 != sk5)),inference(simp,[status(thm)],[93680])).
% 141.02/41.00  thf(95774,plain,(! [A:($i > $o)] : ((sk6 != sk5) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[93762,935])).
% 141.02/41.00  thf(95775,plain,(! [A:($i > $o)] : ((sk6 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(simp,[status(thm)],[95774])).
% 141.02/41.00  thf(95804,plain,((sk6 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ sk6))))),inference(pre_uni,[status(thm)],[95775:[bind(A, $thf(^ [B:$i]: (princ_inj @ loca @ sk6)))]])).
% 141.02/41.00  thf(147,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk6 @ A) != (reli @ sk5 @ sk6)))),inference(paramod_ordered,[status(thm)],[13,17])).
% 141.02/41.00  thf(148,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ sk6 @ A) != (reli @ sk5 @ sk6)))),inference(simp,[status(thm)],[147])).
% 141.02/41.00  thf(160,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk6 != sk5) | (A != sk6))),inference(simp,[status(thm)],[148])).
% 141.02/41.00  thf(162,plain,((princ_inj @ sk1 @ sk6) | (sk6 != sk5)),inference(simp,[status(thm)],[160])).
% 141.02/41.00  thf(270,plain,(! [C:$i,B:$i,A:$i] : ((sk6 != sk5) | (sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | ~ (($true)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((princ_inj @ sk1 @ (sk8 @ B @ A @ sk6)) != (princ_inj @ sk1 @ sk6)))),inference(paramod_ordered,[status(thm)],[162,87])).
% 141.02/41.00  thf(271,plain,(! [C:$i,B:$i,A:$i] : ((sk6 != sk5) | (sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((princ_inj @ sk1 @ (sk8 @ B @ A @ sk6)) != (princ_inj @ sk1 @ sk6)))),inference(simp,[status(thm)],[270])).
% 141.02/41.00  thf(273,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (sk6 != sk5) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | (sk1 != sk1) | ((sk8 @ B @ A @ sk6) != sk6))),inference(simp,[status(thm)],[271])).
% 141.02/41.00  thf(275,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (sk6 != sk5) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((sk8 @ B @ A @ sk6) != sk6))),inference(simp,[status(thm)],[273])).
% 141.02/41.00  thf(322,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (sk6 != sk5) | ~ (($true)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((sk8 @ B @ A @ sk6) != sk6) | ((relr @ sk6 @ A) != (relr @ sk4 @ sk5)))),inference(paramod_ordered,[status(thm)],[15,275])).
% 141.02/41.00  thf(323,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (sk6 != sk5) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((sk8 @ B @ A @ sk6) != sk6) | ((relr @ sk6 @ A) != (relr @ sk4 @ sk5)))),inference(simp,[status(thm)],[322])).
% 141.02/41.00  thf(326,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (sk6 != sk5) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((sk8 @ B @ A @ sk6) != sk6) | (sk6 != sk4) | (A != sk5))),inference(simp,[status(thm)],[323])).
% 141.02/41.00  thf(329,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (sk6 != sk5) | (~ (reli @ sk5 @ A)) | (~ (reli @ A @ B)) | (sk7 != sk5) | ((sk8 @ A @ sk5 @ sk6) != sk6) | (sk6 != sk4))),inference(simp,[status(thm)],[326])).
% 141.02/41.00  thf(352,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (sk6 != sk5) | ~ (($true)) | (~ (reli @ A @ B)) | (sk7 != sk5) | ((sk8 @ A @ sk5 @ sk6) != sk6) | (sk6 != sk4) | ((reli @ sk5 @ A) != (reli @ sk3 @ sk4)))),inference(paramod_ordered,[status(thm)],[11,329])).
% 141.02/41.00  thf(353,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (sk6 != sk5) | (~ (reli @ A @ B)) | (sk7 != sk5) | ((sk8 @ A @ sk5 @ sk6) != sk6) | (sk6 != sk4) | ((reli @ sk5 @ A) != (reli @ sk3 @ sk4)))),inference(simp,[status(thm)],[352])).
% 141.02/41.00  thf(366,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (sk6 != sk5) | (~ (reli @ A @ B)) | (sk7 != sk5) | ((sk8 @ A @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (A != sk4))),inference(simp,[status(thm)],[353])).
% 141.02/41.00  thf(372,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (~ (reli @ sk4 @ A)) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3))),inference(simp,[status(thm)],[366])).
% 141.02/41.00  thf(3420,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ~ (($true)) | ((reli @ sk6 @ sk7) != (reli @ B @ sk9)))),inference(paramod_ordered,[status(thm)],[19,3131])).
% 141.02/41.00  thf(3421,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ((reli @ sk6 @ sk7) != (reli @ B @ sk9)))),inference(simp,[status(thm)],[3420])).
% 141.02/41.00  thf(3446,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | (sk6 != B) | (sk9 != sk7))),inference(simp,[status(thm)],[3421])).
% 141.02/41.00  thf(3485,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ sk6)) | (sk9 != sk7))),inference(simp,[status(thm)],[3446])).
% 141.02/41.00  thf(121,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | ~ (($true)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((relr @ sk6 @ A) != (relr @ sk4 @ sk5)))),inference(paramod_ordered,[status(thm)],[15,87])).
% 141.02/41.00  thf(122,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((relr @ sk6 @ A) != (relr @ sk4 @ sk5)))),inference(simp,[status(thm)],[121])).
% 141.02/41.00  thf(123,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | (sk6 != sk4) | (A != sk5))),inference(simp,[status(thm)],[122])).
% 141.02/41.00  thf(125,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (~ (reli @ sk5 @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ A @ sk5 @ sk6))) | (~ (reli @ A @ B)) | (sk7 != sk5) | (sk6 != sk4))),inference(simp,[status(thm)],[123])).
% 141.02/41.00  thf(4456,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk6 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,4455])).
% 141.02/41.00  thf(4457,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((A @ B) != (sk2 @ (sk12 @ sk6 @ (sk2)))))),inference(simp,[status(thm)],[4456])).
% 141.02/41.00  thf(4476,plain,((reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[4457:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(93429,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk6 @ (sk10 @ sk6 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[4476,92734])).
% 141.02/41.00  thf(93430,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ sk6 @ (sk10 @ sk6 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93429])).
% 141.02/41.00  thf(93659,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | (sk6 != A) | ((sk10 @ sk6 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2)))) != sk5))),inference(simp,[status(thm)],[93430])).
% 141.02/41.00  thf(93745,plain,((princ_inj @ loca @ sk6) | ((sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))) != sk5)),inference(simp,[status(thm)],[93659])).
% 141.02/41.00  thf(62085,plain,((~ (reli @ sk7 @ sk4)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,20294])).
% 141.02/41.00  thf(62086,plain,((~ (reli @ sk7 @ sk4)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[62085])).
% 141.02/41.00  thf(62417,plain,((~ (reli @ sk7 @ sk4)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk5 != sk5) | (sk7 != sk6)),inference(simp,[status(thm)],[62086])).
% 141.02/41.00  thf(62729,plain,((~ (reli @ sk7 @ sk4)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6)),inference(simp,[status(thm)],[62417])).
% 141.02/41.00  thf(80201,plain,(~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,62729])).
% 141.02/41.00  thf(80202,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[80201])).
% 141.02/41.00  thf(80381,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[80202])).
% 141.02/41.00  thf(80692,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | (sk9 != sk4)),inference(simp,[status(thm)],[80381])).
% 141.02/41.00  thf(4162,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (~ (reli @ sk6 @ sk9)) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,3391])).
% 141.02/41.00  thf(4163,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (~ (reli @ sk6 @ sk9)) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4162])).
% 141.02/41.00  thf(4194,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (~ (reli @ sk6 @ sk9))),inference(pre_uni,[status(thm)],[4163:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(870,plain,((prop_b @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_b)))),inference(prim_subst,[status(thm)],[506:[bind(A, $thf(prop_b))]])).
% 141.02/41.00  thf(74,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk3 @ sk4) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[11,21])).
% 141.02/41.00  thf(75,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk3 @ sk4) != (reli @ B @ C)))),inference(simp,[status(thm)],[74])).
% 141.02/41.00  thf(76,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk3)) | (~ (princ_inj @ sk1 @ (sk8 @ sk4 @ sk3 @ A))) | (~ (reli @ sk4 @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[75:[bind(A, $thf(A)),bind(B, $thf(sk3)),bind(C, $thf(sk4))]])).
% 141.02/41.00  thf(93,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk3)) | (~ (princ_inj @ sk1 @ (sk8 @ sk4 @ sk3 @ A))) | (~ (reli @ sk4 @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[76])).
% 141.02/41.00  thf(3526,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((A @ B) != (reli @ sk4 @ sk9)))),inference(paramod_ordered,[status(thm)],[24,3354])).
% 141.02/41.00  thf(3527,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((A @ B) != (reli @ sk4 @ sk9)))),inference(simp,[status(thm)],[3526])).
% 141.02/41.00  thf(3588,plain,((reli @ sk4 @ (sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9)))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2))))),inference(pre_uni,[status(thm)],[3527:[bind(A, $thf(^ [C:$i]: (reli @ C @ sk9))),bind(B, $thf(sk4))]])).
% 141.02/41.00  thf(16841,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ sk4 @ (sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9)))) != (reli @ sk4 @ sk9))),inference(paramod_ordered,[status(thm)],[3588,3354])).
% 141.02/41.00  thf(16842,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ sk4 @ (sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9)))) != (reli @ sk4 @ sk9))),inference(simp,[status(thm)],[16841])).
% 141.02/41.00  thf(16984,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk4 != sk4) | ((sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(simp,[status(thm)],[16842])).
% 141.02/41.00  thf(17027,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(simp,[status(thm)],[16984])).
% 141.02/41.00  thf(17068,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | ((sk10 @ sk4 @ (^ [B:$i]: (reli @ B @ sk9))) != sk9) | ((A @ sk6) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,17027])).
% 141.02/41.00  thf(17069,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ((sk10 @ sk4 @ (^ [B:$i]: (reli @ B @ sk9))) != sk9) | ((A @ sk6) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[17068])).
% 141.02/41.00  thf(17085,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ sk3 @ sk2))))) | ((sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(pre_uni,[status(thm)],[17069:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ sk3 @ sk2))))]])).
% 141.02/41.00  thf(69221,plain,((~ (reli @ sk7 @ sk4)) | ~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,62614])).
% 141.02/41.00  thf(69222,plain,((~ (reli @ sk7 @ sk4)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[69221])).
% 141.02/41.00  thf(69462,plain,((~ (reli @ sk7 @ sk4)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk5 != sk5) | (sk7 != sk6)),inference(simp,[status(thm)],[69222])).
% 141.02/41.00  thf(69565,plain,((~ (reli @ sk7 @ sk4)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6)),inference(simp,[status(thm)],[69462])).
% 141.02/41.00  thf(69668,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,69565])).
% 141.02/41.00  thf(69669,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[69668])).
% 141.02/41.00  thf(69758,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[69669])).
% 141.02/41.00  thf(69849,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | (sk9 != sk4)),inference(simp,[status(thm)],[69758])).
% 141.02/41.00  thf(4166,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ sk6 @ sk9) != (reli @ sk6 @ sk7))),inference(paramod_ordered,[status(thm)],[19,3391])).
% 141.02/41.00  thf(4167,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ sk6 @ sk9) != (reli @ sk6 @ sk7))),inference(simp,[status(thm)],[4166])).
% 141.02/41.00  thf(4180,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk6 != sk6) | (sk9 != sk7)),inference(simp,[status(thm)],[4167])).
% 141.02/41.00  thf(4211,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk9 != sk7)),inference(simp,[status(thm)],[4180])).
% 141.02/41.00  thf(4231,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (sk9 != sk7) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,4211])).
% 141.02/41.00  thf(4232,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (sk9 != sk7) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4231])).
% 141.02/41.00  thf(4253,plain,((reli @ (sk12 @ sk5 @ (sk2)) @ (sk10 @ (sk12 @ sk5 @ (sk2)) @ (sk2))) | (sk9 != sk7)),inference(pre_uni,[status(thm)],[4232:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk5 @ (sk2)))]])).
% 141.02/41.00  thf(3428,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ((reli @ B @ sk9) != (reli @ A @ B)) | ~ (($true)))),inference(eqfactor_ordered,[status(thm)],[3131])).
% 141.02/41.00  thf(3432,plain,((~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | (~ (reli @ sk9 @ sk9))),inference(pattern_uni,[status(thm)],[3428:[bind(A, $thf(sk9)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(4616,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | ~ (($true)) | ((A @ B) != (reli @ sk9 @ sk9)))),inference(paramod_ordered,[status(thm)],[24,3432])).
% 141.02/41.00  thf(4617,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | ((A @ B) != (reli @ sk9 @ sk9)))),inference(simp,[status(thm)],[4616])).
% 141.02/41.00  thf(4660,plain,((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk9))) | (~ (sk2 @ (sk12 @ sk9 @ (sk2))))),inference(pre_uni,[status(thm)],[4617:[bind(A, $thf(reli @ sk9)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(27744,plain,(! [B:$i,A:($i > $o)] : ((~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | ~ (($true)) | (A @ B) | ((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk9))) != (A @ (sk10 @ B @ (A)))))),inference(paramod_ordered,[status(thm)],[4660,25])).
% 141.02/41.00  thf(27745,plain,(! [B:$i,A:($i > $o)] : ((~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | (A @ B) | ((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk9))) != (A @ (sk10 @ B @ (A)))))),inference(simp,[status(thm)],[27744])).
% 141.02/41.00  thf(27950,plain,((~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | (reli @ sk9 @ sk9)),inference(pre_uni,[status(thm)],[27745:[bind(A, $thf(reli @ sk9)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(28210,plain,((~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | (~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | ~ (($true)) | ((reli @ sk9 @ sk9) != (reli @ sk9 @ sk9))),inference(paramod_ordered,[status(thm)],[27950,3432])).
% 141.02/41.00  thf(28211,plain,((~ (sk2 @ (sk12 @ sk9 @ (sk2)))) | ((reli @ sk9 @ sk9) != (reli @ sk9 @ sk9))),inference(simp,[status(thm)],[28210])).
% 141.02/41.00  thf(28212,plain,((~ (sk2 @ (sk12 @ sk9 @ (sk2))))),inference(pattern_uni,[status(thm)],[28211:[]])).
% 141.02/41.00  thf(28341,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk9 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,28212])).
% 141.02/41.00  thf(28342,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((A @ B) != (sk2 @ (sk12 @ sk9 @ (sk2)))))),inference(simp,[status(thm)],[28341])).
% 141.02/41.00  thf(28381,plain,((reli @ (sk12 @ sk9 @ (sk2)) @ (sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2)))),inference(pre_uni,[status(thm)],[28342:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk9 @ (sk2)))]])).
% 141.02/41.00  thf(17034,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk4 @ (^ [C:$i]: (reli @ C @ sk9))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,17027])).
% 141.02/41.00  thf(17035,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((sk10 @ sk4 @ (^ [C:$i]: (reli @ C @ sk9))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[17034])).
% 141.02/41.00  thf(17097,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(pre_uni,[status(thm)],[17035:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(1465,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_a @ C)))) | ((A @ B) != (prop_a @ sk6)))),inference(paramod_ordered,[status(thm)],[30,1082])).
% 141.02/41.00  thf(1466,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_a @ C)))) | ((A @ B) != (prop_a @ sk6)))),inference(simp,[status(thm)],[1465])).
% 141.02/41.00  thf(1479,plain,((relr @ sk6 @ (sk11 @ sk6 @ (prop_a))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_a @ A))))),inference(pre_uni,[status(thm)],[1466:[bind(A, $thf(prop_a)),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(4164,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((A @ B) != (reli @ sk6 @ sk9)))),inference(paramod_ordered,[status(thm)],[30,3391])).
% 141.02/41.00  thf(4165,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((A @ B) != (reli @ sk6 @ sk9)))),inference(simp,[status(thm)],[4164])).
% 141.02/41.00  thf(4205,plain,((relr @ sk9 @ (sk11 @ sk9 @ (reli @ sk6))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2))))),inference(pre_uni,[status(thm)],[4165:[bind(A, $thf(reli @ sk6)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(93542,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk6 @ sk7) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[19,92734])).
% 141.02/41.00  thf(93543,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ sk6 @ sk7) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93542])).
% 141.02/41.00  thf(93664,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | (sk6 != A) | (sk7 != sk5))),inference(simp,[status(thm)],[93543])).
% 141.02/41.00  thf(93750,plain,((princ_inj @ loca @ sk6) | (sk7 != sk5)),inference(simp,[status(thm)],[93664])).
% 141.02/41.00  thf(95608,plain,(! [A:($i > $o)] : ((sk7 != sk5) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[93750,935])).
% 141.02/41.00  thf(95609,plain,(! [A:($i > $o)] : ((sk7 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(simp,[status(thm)],[95608])).
% 141.02/41.00  thf(95647,plain,((sk7 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ A))))),inference(pre_uni,[status(thm)],[95609:[bind(A, $thf(princ_inj @ loca))]])).
% 141.02/41.00  thf(3534,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk4 @ sk9))),inference(paramod_ordered,[status(thm)],[492,3354])).
% 141.02/41.00  thf(3535,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk4 @ sk9))),inference(simp,[status(thm)],[3534])).
% 141.02/41.00  thf(3569,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk9 != sk4) | ((sk10 @ sk9 @ (sk2)) != sk9)),inference(simp,[status(thm)],[3535])).
% 141.02/41.00  thf(782,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | ((reli @ sk4 @ A) != (reli @ sk3 @ sk4)))),inference(paramod_ordered,[status(thm)],[11,372])).
% 141.02/41.00  thf(783,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | ((reli @ sk4 @ A) != (reli @ sk3 @ sk4)))),inference(simp,[status(thm)],[782])).
% 141.02/41.00  thf(796,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk4 != sk3) | (A != sk4))),inference(simp,[status(thm)],[783])).
% 141.02/41.00  thf(806,plain,((sk2 @ sk4) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk4 != sk3)),inference(simp,[status(thm)],[796])).
% 141.02/41.00  thf(3520,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ sk4 @ sk9) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,3354])).
% 141.02/41.00  thf(3521,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ sk4 @ sk9) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[3520])).
% 141.02/41.00  thf(3584,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk4 != sk3) | (sk9 != sk4)),inference(simp,[status(thm)],[3521])).
% 141.02/41.00  thf(5429,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (sk4 != sk3) | (sk9 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3584])).
% 141.02/41.00  thf(5430,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (sk4 != sk3) | (sk9 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5429])).
% 141.02/41.00  thf(5457,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk4 != sk3) | (sk9 != sk4)),inference(pre_uni,[status(thm)],[5430:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(144,plain,(! [E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk6 @ A)) | (~ (reli @ sk7 @ B)) | (~ (relr @ B @ C)) | (~ (reli @ C @ D)) | ~ (($true)) | (~ (reli @ D @ E)) | (sk2 @ E) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ D @ C @ B))))),inference(paramod_ordered,[status(thm)],[17,21])).
% 141.02/41.00  thf(145,plain,(! [E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk6 @ A)) | (~ (reli @ sk7 @ B)) | (~ (relr @ B @ C)) | (~ (reli @ C @ D)) | (~ (reli @ D @ E)) | (sk2 @ E) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ D @ C @ B))))),inference(simp,[status(thm)],[144])).
% 141.02/41.00  thf(146,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk6 @ (sk8 @ B @ C @ D))) | (~ (reli @ sk7 @ D)) | (~ (relr @ D @ C)) | (~ (reli @ C @ B)) | (~ (reli @ B @ A)) | (sk2 @ A))),inference(pattern_uni,[status(thm)],[145:[bind(A, $thf(sk8 @ F @ G @ H)),bind(B, $thf(H)),bind(C, $thf(G)),bind(D, $thf(F))]])).
% 141.02/41.00  thf(164,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk6 @ (sk8 @ B @ C @ D))) | (~ (reli @ sk7 @ D)) | (~ (relr @ D @ C)) | (~ (reli @ C @ B)) | (~ (reli @ B @ A)) | (sk2 @ A))),inference(simp,[status(thm)],[146])).
% 141.02/41.00  thf(4562,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) != (reli @ sk6 @ sk9))),inference(paramod_ordered,[status(thm)],[4476,3391])).
% 141.02/41.00  thf(4563,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) != (reli @ sk6 @ sk9))),inference(simp,[status(thm)],[4562])).
% 141.02/41.00  thf(4588,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk6 != sk6) | ((sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))) != sk9)),inference(simp,[status(thm)],[4563])).
% 141.02/41.00  thf(4605,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))) != sk9)),inference(simp,[status(thm)],[4588])).
% 141.02/41.00  thf(11012,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk6 @ (^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,4605])).
% 141.02/41.00  thf(11013,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((sk10 @ sk6 @ (^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[11012])).
% 141.02/41.00  thf(11064,plain,((reli @ sk5 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))) != sk9)),inference(pre_uni,[status(thm)],[11013:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(156,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk6 @ sk7) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[19,17])).
% 141.02/41.00  thf(157,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ sk6 @ sk7) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[156])).
% 141.02/41.00  thf(158,plain,((princ_inj @ sk1 @ sk7)),inference(pattern_uni,[status(thm)],[157:[bind(A, $thf(sk7))]])).
% 141.02/41.00  thf(62993,plain,((~ (reli @ sk7 @ sk4)) | ~ (($true)) | (sk6 != sk5) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk7))),inference(paramod_ordered,[status(thm)],[158,62611])).
% 141.02/41.00  thf(62994,plain,((~ (reli @ sk7 @ sk4)) | (sk6 != sk5) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk7))),inference(simp,[status(thm)],[62993])).
% 141.02/41.00  thf(63145,plain,((~ (reli @ sk7 @ sk4)) | (sk6 != sk5) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7)),inference(simp,[status(thm)],[62994])).
% 141.02/41.00  thf(63298,plain,((~ (reli @ sk7 @ sk4)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7)),inference(simp,[status(thm)],[63145])).
% 141.02/41.00  thf(4141,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk6 @ sk9))),inference(paramod_ordered,[status(thm)],[492,3391])).
% 141.02/41.00  thf(4142,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk6 @ sk9))),inference(simp,[status(thm)],[4141])).
% 141.02/41.00  thf(4173,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk9 != sk6) | ((sk10 @ sk9 @ (sk2)) != sk9)),inference(simp,[status(thm)],[4142])).
% 141.02/41.00  thf(69325,plain,(~ (($true)) | (~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,62614])).
% 141.02/41.00  thf(69326,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[69325])).
% 141.02/41.00  thf(69483,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | (sk4 != sk4)),inference(simp,[status(thm)],[69326])).
% 141.02/41.00  thf(69574,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3)),inference(simp,[status(thm)],[69483])).
% 141.02/41.00  thf(71835,plain,(! [A:$i] : (~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk5 @ sk7)))),inference(paramod_ordered,[status(thm)],[507,69574])).
% 141.02/41.00  thf(71836,plain,(! [A:$i] : (((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk5 @ sk7)))),inference(simp,[status(thm)],[71835])).
% 141.02/41.00  thf(71937,plain,(! [A:$i] : (((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | (A != sk5) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk7))),inference(simp,[status(thm)],[71836])).
% 141.02/41.00  thf(72013,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | ((sk10 @ sk5 @ (^ [A:$i]: (($false)))) != sk7)),inference(simp,[status(thm)],[71937])).
% 141.02/41.00  thf(5669,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk4 @ (^ [C:$i]: (($false)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,3600])).
% 141.02/41.00  thf(5670,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((sk10 @ sk4 @ (^ [C:$i]: (($false)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5669])).
% 141.02/41.00  thf(5680,plain,((relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk4 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[5670:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(5442,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (sk4 != sk3) | (sk9 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,3584])).
% 141.02/41.00  thf(5443,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (sk4 != sk3) | (sk9 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5442])).
% 141.02/41.00  thf(5448,plain,((relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk4 != sk3) | (sk9 != sk4)),inference(pre_uni,[status(thm)],[5443:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(1049,plain,(! [A:($i > $o)] : (~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (($false))))) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[734,935])).
% 141.02/41.00  thf(1050,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (($false))))) != (A @ sk6)))),inference(simp,[status(thm)],[1049])).
% 141.02/41.00  thf(1119,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ A @ (^ [B:$i]: (($false))))))))),inference(pre_uni,[status(thm)],[1050:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ B @ (^ [C:$i]: (($false)))))))]])).
% 141.02/41.00  thf(16779,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (reli @ sk4 @ (sk10 @ sk4 @ (^ [C:$i]: (reli @ C @ sk9)))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3588])).
% 141.02/41.00  thf(16780,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (reli @ sk4 @ (sk10 @ sk4 @ (^ [C:$i]: (reli @ C @ sk9)))) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[16779])).
% 141.02/41.00  thf(16957,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (reli @ sk4 @ (sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9))))),inference(pre_uni,[status(thm)],[16780:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(62244,plain,(~ (($true)) | (~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,20294])).
% 141.02/41.00  thf(62245,plain,((~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[62244])).
% 141.02/41.00  thf(62516,plain,((~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk3) | (sk4 != sk4)),inference(simp,[status(thm)],[62245])).
% 141.02/41.00  thf(62629,plain,((~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk3)),inference(simp,[status(thm)],[62516])).
% 141.02/41.00  thf(73793,plain,((~ (reli @ sk5 @ sk7)) | ~ (($true)) | (sk7 != sk3) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk7))),inference(paramod_ordered,[status(thm)],[158,62629])).
% 141.02/41.00  thf(73794,plain,((~ (reli @ sk5 @ sk7)) | (sk7 != sk3) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk7))),inference(simp,[status(thm)],[73793])).
% 141.02/41.00  thf(73987,plain,((~ (reli @ sk5 @ sk7)) | (sk7 != sk3) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7)),inference(simp,[status(thm)],[73794])).
% 141.02/41.00  thf(74044,plain,((~ (reli @ sk5 @ sk7)) | (sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7)),inference(simp,[status(thm)],[73987])).
% 141.02/41.00  thf(93504,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk3 @ sk4) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[11,92734])).
% 141.02/41.00  thf(93505,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ sk3 @ sk4) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93504])).
% 141.02/41.00  thf(93610,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | (sk3 != A) | (sk5 != sk4))),inference(simp,[status(thm)],[93505])).
% 141.02/41.00  thf(93718,plain,((princ_inj @ loca @ sk6) | (sk5 != sk4)),inference(simp,[status(thm)],[93610])).
% 141.02/41.00  thf(95276,plain,(! [A:($i > $o)] : ((sk5 != sk4) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[93718,935])).
% 141.02/41.00  thf(95277,plain,(! [A:($i > $o)] : ((sk5 != sk4) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(simp,[status(thm)],[95276])).
% 141.02/41.00  thf(95322,plain,((sk5 != sk4) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ A))))),inference(pre_uni,[status(thm)],[95277:[bind(A, $thf(princ_inj @ loca))]])).
% 141.02/41.00  thf(650,plain,(! [A:$i] : ((~ (prop_b @ (sk10 @ A @ (prop_b)))) | (prop_b @ A))),inference(prim_subst,[status(thm)],[25:[bind(A, $thf(prop_b))]])).
% 141.02/41.00  thf(687,plain,(! [A:$i] : ((~ (prop_b @ (sk10 @ A @ (prop_b)))) | (prop_b @ A))),inference(simp,[status(thm)],[650])).
% 141.02/41.00  thf(561,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (sk6 != sk5) | ~ (($true)) | (~ (reli @ A @ B)) | (sk7 != sk5) | ((sk8 @ A @ sk5 @ sk6) != sk6) | (sk6 != sk4) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk5 @ A)))),inference(paramod_ordered,[status(thm)],[492,329])).
% 141.02/41.00  thf(562,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (sk6 != sk5) | (~ (reli @ A @ B)) | (sk7 != sk5) | ((sk8 @ A @ sk5 @ sk6) != sk6) | (sk6 != sk4) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk5 @ A)))),inference(simp,[status(thm)],[561])).
% 141.02/41.00  thf(590,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (sk6 != sk5) | (~ (reli @ A @ B)) | (sk7 != sk5) | ((sk8 @ A @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != A))),inference(simp,[status(thm)],[562])).
% 141.02/41.00  thf(596,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (~ (reli @ (sk10 @ sk9 @ (sk2)) @ A)) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5))),inference(simp,[status(thm)],[590])).
% 141.02/41.00  thf(1402,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk5 @ sk6)))),inference(paramod_ordered,[status(thm)],[13,596])).
% 141.02/41.00  thf(1403,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk5 @ sk6)))),inference(simp,[status(thm)],[1402])).
% 141.02/41.00  thf(1433,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk5) | (A != sk6))),inference(simp,[status(thm)],[1403])).
% 141.02/41.00  thf(1447,plain,((sk2 @ sk6) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk5)),inference(simp,[status(thm)],[1433])).
% 141.02/41.00  thf(62270,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | ~ (($true)) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk7))),inference(paramod_ordered,[status(thm)],[158,20294])).
% 141.02/41.00  thf(62271,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk7))),inference(simp,[status(thm)],[62270])).
% 141.02/41.00  thf(62590,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7)),inference(simp,[status(thm)],[62271])).
% 141.02/41.00  thf(62685,plain,((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7)),inference(simp,[status(thm)],[62590])).
% 141.02/41.00  thf(77219,plain,(~ (($true)) | (~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,62685])).
% 141.02/41.00  thf(77220,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[77219])).
% 141.02/41.00  thf(77381,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[77220])).
% 141.02/41.00  thf(77522,plain,((~ (reli @ sk5 @ sk7)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[77381])).
% 141.02/41.00  thf(77634,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk9 != sk4) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,77522])).
% 141.02/41.00  thf(77635,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk9 != sk4) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[77634])).
% 141.02/41.00  thf(77804,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk9 != sk4) | (sk5 != sk5) | (sk7 != sk6)),inference(simp,[status(thm)],[77635])).
% 141.02/41.00  thf(77843,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk9 != sk4) | (sk7 != sk6)),inference(simp,[status(thm)],[77804])).
% 141.02/41.00  thf(66,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[12,21])).
% 141.02/41.00  thf(67,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ B @ C)))),inference(simp,[status(thm)],[66])).
% 141.02/41.00  thf(68,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk9 @ sk7 @ A))) | (~ (reli @ sk9 @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[67:[bind(A, $thf(A)),bind(B, $thf(sk7)),bind(C, $thf(sk9))]])).
% 141.02/41.00  thf(89,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk9 @ sk7 @ A))) | (~ (reli @ sk9 @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[68])).
% 141.02/41.00  thf(131,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | ~ (($true)) | (sk2 @ D) | ((reli @ sk6 @ sk7) != (reli @ C @ D)))),inference(paramod_ordered,[status(thm)],[19,21])).
% 141.02/41.00  thf(132,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (sk2 @ D) | ((reli @ sk6 @ sk7) != (reli @ C @ D)))),inference(simp,[status(thm)],[131])).
% 141.02/41.00  thf(133,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk6)) | (~ (princ_inj @ sk1 @ (sk8 @ sk6 @ B @ A))) | (sk2 @ sk7))),inference(pattern_uni,[status(thm)],[132:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk6)),bind(D, $thf(sk7))]])).
% 141.02/41.00  thf(213,plain,(! [G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (sk2 @ G) | (~ (relr @ sk6 @ E)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ F @ E @ sk6))) | (~ (reli @ F @ G)) | (sk7 != sk5) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ E @ F)))),inference(paramod_ordered,[status(thm)],[20,87])).
% 141.02/41.00  thf(214,plain,(! [G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (sk2 @ G) | (~ (relr @ sk6 @ E)) | (~ (princ_inj @ sk1 @ (sk8 @ F @ E @ sk6))) | (~ (reli @ F @ G)) | (sk7 != sk5) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ E @ F)))),inference(simp,[status(thm)],[213])).
% 141.02/41.00  thf(215,plain,(! [E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ E)) | (~ (relr @ E @ D)) | (~ (reli @ D @ C)) | (~ (reli @ C @ A)) | (sk2 @ A) | (sk2 @ B) | (~ (relr @ sk6 @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ (sk8 @ C @ D @ E) @ C @ sk6))) | (~ (reli @ (sk8 @ C @ D @ E) @ B)) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[214:[bind(A, $thf(J)),bind(B, $thf(I)),bind(C, $thf(H)),bind(D, $thf(D)),bind(E, $thf(H)),bind(F, $thf(sk8 @ H @ I @ J))]])).
% 141.02/41.00  thf(243,plain,(! [E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ E)) | (~ (relr @ E @ D)) | (~ (reli @ D @ C)) | (~ (reli @ C @ A)) | (sk2 @ A) | (sk2 @ B) | (~ (relr @ sk6 @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ (sk8 @ C @ D @ E) @ C @ sk6))) | (~ (reli @ (sk8 @ C @ D @ E) @ B)) | (sk7 != sk5))),inference(simp,[status(thm)],[215])).
% 141.02/41.00  thf(100,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((reli @ sk7 @ sk9) != (reli @ A @ B)))),inference(paramod_ordered,[status(thm)],[12,87])).
% 141.02/41.00  thf(101,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((reli @ sk7 @ sk9) != (reli @ A @ B)))),inference(simp,[status(thm)],[100])).
% 141.02/41.00  thf(102,plain,(! [A:$i] : ((sk2 @ A) | (~ (relr @ sk6 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk9 @ sk7 @ sk6))) | (~ (reli @ sk9 @ A)) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[101:[bind(A, $thf(sk7)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(116,plain,(! [A:$i] : ((sk2 @ A) | (~ (relr @ sk6 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk9 @ sk7 @ sk6))) | (~ (reli @ sk9 @ A)) | (sk7 != sk5))),inference(simp,[status(thm)],[102])).
% 141.02/41.00  thf(80329,plain,(~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk6 @ sk7))),inference(paramod_ordered,[status(thm)],[19,62729])).
% 141.02/41.00  thf(80330,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk6 @ sk7))),inference(simp,[status(thm)],[80329])).
% 141.02/41.00  thf(80437,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | (sk7 != sk6) | (sk7 != sk4)),inference(simp,[status(thm)],[80330])).
% 141.02/41.00  thf(80593,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | (sk7 != sk4)),inference(simp,[status(thm)],[80437])).
% 141.02/41.00  thf(82727,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | ~ (($true)) | (sk7 != sk6) | (sk7 != sk4) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(paramod_ordered,[status(thm)],[17,80593])).
% 141.02/41.00  thf(82728,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (sk7 != sk6) | (sk7 != sk4) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(simp,[status(thm)],[82727])).
% 141.02/41.00  thf(82729,plain,((~ (reli @ sk6 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | (sk7 != sk4)),inference(pattern_uni,[status(thm)],[82728:[bind(A, $thf(sk8 @ sk7 @ sk5 @ sk4))]])).
% 141.02/41.00  thf(4269,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (sk7 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,4220])).
% 141.02/41.00  thf(4270,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (sk7 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4269])).
% 141.02/41.00  thf(4285,plain,((reli @ (sk12 @ sk5 @ (sk2)) @ (sk10 @ (sk12 @ sk5 @ (sk2)) @ (sk2))) | (sk7 != sk6)),inference(pre_uni,[status(thm)],[4270:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk5 @ (sk2)))]])).
% 141.02/41.00  thf(205,plain,(! [D:$i,C:$i,B:$i,A:$i] : (~ (($true)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk3 @ sk4)))),inference(paramod_ordered,[status(thm)],[11,20])).
% 141.02/41.00  thf(206,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk3 @ sk4)))),inference(simp,[status(thm)],[205])).
% 141.02/41.00  thf(233,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((reli @ C @ (sk8 @ C @ B @ A)) | (sk2 @ D) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk7 != sk3) | (A != sk4))),inference(simp,[status(thm)],[206])).
% 141.02/41.00  thf(248,plain,(! [C:$i,B:$i,A:$i] : ((reli @ B @ (sk8 @ B @ A @ sk4)) | (sk2 @ C) | (~ (relr @ sk4 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk3))),inference(simp,[status(thm)],[233])).
% 141.02/41.00  thf(106,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((reli @ sk3 @ sk4) != (reli @ A @ B)))),inference(paramod_ordered,[status(thm)],[11,87])).
% 141.02/41.00  thf(107,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((reli @ sk3 @ sk4) != (reli @ A @ B)))),inference(simp,[status(thm)],[106])).
% 141.02/41.00  thf(108,plain,(! [A:$i] : ((sk2 @ A) | (~ (relr @ sk6 @ sk3)) | (~ (princ_inj @ sk1 @ (sk8 @ sk4 @ sk3 @ sk6))) | (~ (reli @ sk4 @ A)) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[107:[bind(A, $thf(sk3)),bind(B, $thf(sk4))]])).
% 141.02/41.00  thf(117,plain,(! [A:$i] : ((sk2 @ A) | (~ (relr @ sk6 @ sk3)) | (~ (princ_inj @ sk1 @ (sk8 @ sk4 @ sk3 @ sk6))) | (~ (reli @ sk4 @ A)) | (sk7 != sk5))),inference(simp,[status(thm)],[108])).
% 141.02/41.00  thf(1676,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_b @ C)))) | ((A @ B) != (prop_b @ sk6)))),inference(paramod_ordered,[status(thm)],[24,1089])).
% 141.02/41.00  thf(1677,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_b @ C)))) | ((A @ B) != (prop_b @ sk6)))),inference(simp,[status(thm)],[1676])).
% 141.02/41.00  thf(1691,plain,((reli @ sk6 @ (sk10 @ sk6 @ (prop_b))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_b @ A))))),inference(pre_uni,[status(thm)],[1677:[bind(A, $thf(prop_b)),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(6662,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk6 @ (^ [C:$i]: (($false)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,4221])).
% 141.02/41.00  thf(6663,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((sk10 @ sk6 @ (^ [C:$i]: (($false)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[6662])).
% 141.02/41.00  thf(6684,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk6 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[6663:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(72091,plain,(! [A:$i] : (~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk5 @ sk7)))),inference(paramod_ordered,[status(thm)],[507,69594])).
% 141.02/41.00  thf(72092,plain,(! [A:$i] : (((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk5 @ sk7)))),inference(simp,[status(thm)],[72091])).
% 141.02/41.00  thf(72229,plain,(! [A:$i] : (((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | (A != sk5) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk7))),inference(simp,[status(thm)],[72092])).
% 141.02/41.00  thf(72289,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | ((sk10 @ sk5 @ (^ [A:$i]: (($false)))) != sk7)),inference(simp,[status(thm)],[72229])).
% 141.02/41.00  thf(4168,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | (~ (reli @ sk6 @ sk9)) | ((A @ sk6) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,3391])).
% 141.02/41.00  thf(4169,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (~ (reli @ sk6 @ sk9)) | ((A @ sk6) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4168])).
% 141.02/41.00  thf(4172,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ sk5 @ sk2))))) | (~ (reli @ sk6 @ sk9))),inference(pre_uni,[status(thm)],[4169:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ sk5 @ sk2))))]])).
% 141.02/41.00  thf(1221,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((A @ B) != (sk2 @ sk9)))),inference(paramod_ordered,[status(thm)],[30,18])).
% 141.02/41.00  thf(1222,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((A @ B) != (sk2 @ sk9)))),inference(simp,[status(thm)],[1221])).
% 141.02/41.00  thf(1273,plain,(! [A:$i] : ((relr @ A @ (sk11 @ A @ (^ [B:$i]: (sk2 @ sk9)))))),inference(pre_uni,[status(thm)],[1222:[bind(A, $thf(^ [C:$i]: (sk2 @ sk9))),bind(B, $thf(B))]])).
% 141.02/41.00  thf(1348,plain,(! [A:$i] : ((relr @ A @ (sk11 @ A @ (^ [B:$i]: (sk2 @ sk9)))))),inference(simp,[status(thm)],[1273])).
% 141.02/41.00  thf(1706,plain,(! [A:$i] : ((relr @ A @ (sk11 @ A @ (^ [B:$i]: (($false))))))),inference(rewrite,[status(thm)],[1348,18])).
% 141.02/41.00  thf(35922,plain,((~ (relr @ sk6 @ sk6)) | ~ (($true)) | (sk7 != sk5) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ sk6)) != (princ_inj @ sk1 @ sk7))),inference(paramod_ordered,[status(thm)],[158,35230])).
% 141.02/41.00  thf(35923,plain,((~ (relr @ sk6 @ sk6)) | (sk7 != sk5) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ sk6)) != (princ_inj @ sk1 @ sk7))),inference(simp,[status(thm)],[35922])).
% 141.02/41.00  thf(35998,plain,((~ (relr @ sk6 @ sk6)) | (sk7 != sk5) | (sk1 != sk1) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7)),inference(simp,[status(thm)],[35923])).
% 141.02/41.00  thf(36168,plain,((~ (relr @ sk6 @ sk6)) | (sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7)),inference(simp,[status(thm)],[35998])).
% 141.02/41.00  thf(36525,plain,(! [A:$i] : (~ (($true)) | (sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7) | ((relr @ A @ (sk11 @ A @ (^ [B:$i]: (($false))))) != (relr @ sk6 @ sk6)))),inference(paramod_ordered,[status(thm)],[1706,36168])).
% 141.02/41.00  thf(36526,plain,(! [A:$i] : ((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7) | ((relr @ A @ (sk11 @ A @ (^ [B:$i]: (($false))))) != (relr @ sk6 @ sk6)))),inference(simp,[status(thm)],[36525])).
% 141.02/41.00  thf(36569,plain,(! [A:$i] : ((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7) | (A != sk6) | ((sk11 @ A @ (^ [B:$i]: (($false)))) != sk6))),inference(simp,[status(thm)],[36526])).
% 141.02/41.00  thf(36621,plain,((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7) | ((sk11 @ sk6 @ (^ [A:$i]: (($false)))) != sk6)),inference(simp,[status(thm)],[36569])).
% 141.02/41.00  thf(1274,plain,((relr @ sk9 @ (sk11 @ sk9 @ (sk2)))),inference(pre_uni,[status(thm)],[1222:[bind(A, $thf(sk2)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(586,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[492,17])).
% 141.02/41.00  thf(587,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[586])).
% 141.02/41.00  thf(588,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk9 != sk6) | ((sk10 @ sk9 @ (sk2)) != A))),inference(simp,[status(thm)],[587])).
% 141.02/41.00  thf(593,plain,((princ_inj @ sk1 @ (sk10 @ sk9 @ (sk2))) | (sk9 != sk6)),inference(simp,[status(thm)],[588])).
% 141.02/41.00  thf(1021,plain,(! [A:($i > $o)] : ((sk9 != sk6) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk9 @ (sk2))) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[593,935])).
% 141.02/41.00  thf(1022,plain,(! [A:($i > $o)] : ((sk9 != sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk9 @ (sk2))) != (A @ sk6)))),inference(simp,[status(thm)],[1021])).
% 141.02/41.00  thf(1123,plain,((sk9 != sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ sk9 @ sk2)))))),inference(pre_uni,[status(thm)],[1022:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ sk9 @ sk2))))]])).
% 141.02/41.00  thf(153,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk6 @ A)) | (sk2 @ D) | (~ (relr @ sk6 @ B)) | (~ (reli @ B @ C)) | ~ (($true)) | (~ (reli @ C @ D)) | (sk7 != sk5) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ C @ B @ sk6))))),inference(paramod_ordered,[status(thm)],[17,87])).
% 141.02/41.00  thf(154,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk6 @ A)) | (sk2 @ D) | (~ (relr @ sk6 @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk7 != sk5) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ C @ B @ sk6))))),inference(simp,[status(thm)],[153])).
% 141.02/41.00  thf(155,plain,(! [C:$i,B:$i,A:$i] : ((~ (reli @ sk6 @ (sk8 @ B @ C @ sk6))) | (sk2 @ A) | (~ (relr @ sk6 @ C)) | (~ (reli @ C @ B)) | (~ (reli @ B @ A)) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[154:[bind(A, $thf(sk8 @ E @ F @ sk6)),bind(B, $thf(F)),bind(C, $thf(E)),bind(D, $thf(D))]])).
% 141.02/41.00  thf(165,plain,(! [C:$i,B:$i,A:$i] : ((~ (reli @ sk6 @ (sk8 @ B @ C @ sk6))) | (sk2 @ A) | (~ (relr @ sk6 @ C)) | (~ (reli @ C @ B)) | (~ (reli @ B @ A)) | (sk7 != sk5))),inference(simp,[status(thm)],[155])).
% 141.02/41.00  thf(32,plain,(! [B:$i,A:($i > $o)] : ((~ ((sk11 @ B @ (A)) = (sk11 @ B @ ((=) @ $i @ (sk11 @ B @ A))))) | ((sk11 @ B @ (A)) = B))),inference(replace_leibeq,[status(thm)],[31:[bind(A, $thf((=) @ $i @ (sk11 @ B @ A)))]])).
% 141.02/41.00  thf(33,plain,(! [B:$i,A:($i > $o)] : (((sk11 @ B @ (A)) != (sk11 @ B @ ((=) @ $i @ (sk11 @ B @ A)))) | ((sk11 @ B @ (A)) = B))),inference(lifteq,[status(thm)],[32])).
% 141.02/41.00  thf(1500,plain,(! [A:($i > $o)] : ((~ (prop_c @ sk6)) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_c @ B)))) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[1086,935])).
% 141.02/41.00  thf(1501,plain,(! [A:($i > $o)] : ((~ (prop_c @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_c @ B)))) != (A @ sk6)))),inference(simp,[status(thm)],[1500])).
% 141.02/41.00  thf(1502,plain,((~ (prop_c @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_c @ B)))))))),inference(pre_uni,[status(thm)],[1501:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_c @ C))))))]])).
% 141.02/41.00  thf(4243,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (sk9 != sk7) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,4211])).
% 141.02/41.00  thf(4244,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (sk9 != sk7) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4243])).
% 141.02/41.00  thf(4252,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk9 != sk7)),inference(pre_uni,[status(thm)],[4244:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(190,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | ~ (($true)) | (sk2 @ D) | ((reli @ sk5 @ sk6) != (reli @ C @ D)))),inference(paramod_ordered,[status(thm)],[13,20])).
% 141.02/41.00  thf(191,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (sk2 @ D) | ((reli @ sk5 @ sk6) != (reli @ C @ D)))),inference(simp,[status(thm)],[190])).
% 141.02/41.00  thf(192,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk5)) | (reli @ sk5 @ (sk8 @ sk5 @ B @ A)) | (sk2 @ sk6))),inference(pattern_uni,[status(thm)],[191:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk5)),bind(D, $thf(sk6))]])).
% 141.02/41.00  thf(4204,plain,((relr @ sk6 @ (sk11 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9)))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2))))),inference(pre_uni,[status(thm)],[4165:[bind(A, $thf(^ [C:$i]: (reli @ C @ sk9))),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(57,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk5 @ sk6) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[13,21])).
% 141.02/41.00  thf(58,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk5 @ sk6) != (reli @ B @ C)))),inference(simp,[status(thm)],[57])).
% 141.02/41.00  thf(59,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk5)) | (~ (princ_inj @ sk1 @ (sk8 @ sk6 @ sk5 @ A))) | (~ (reli @ sk6 @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[58:[bind(A, $thf(A)),bind(B, $thf(sk5)),bind(C, $thf(sk6))]])).
% 141.02/41.00  thf(92,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk5)) | (~ (princ_inj @ sk1 @ (sk8 @ sk6 @ sk5 @ A))) | (~ (reli @ sk6 @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[59])).
% 141.02/41.00  thf(230,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ B @ C) != (reli @ sk7 @ A)) | ~ (($true)))),inference(eqfactor_ordered,[status(thm)],[20])).
% 141.02/41.00  thf(236,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk7)) | (reli @ A @ (sk8 @ A @ sk7 @ A)) | (~ (reli @ A @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[230:[bind(A, $thf(C)),bind(B, $thf(sk7))]])).
% 141.02/41.00  thf(252,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk7)) | (reli @ A @ (sk8 @ A @ sk7 @ A)) | (~ (reli @ A @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[236])).
% 141.02/41.00  thf(4192,plain,((relr @ (sk12 @ sk5 @ (sk2)) @ (sk11 @ (sk12 @ sk5 @ (sk2)) @ (sk2))) | (~ (reli @ sk6 @ sk9))),inference(pre_uni,[status(thm)],[4163:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk5 @ (sk2)))]])).
% 141.02/41.00  thf(28810,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ (sk12 @ sk9 @ (sk2)) @ (sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[28381,17])).
% 141.02/41.00  thf(28811,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ (sk12 @ sk9 @ (sk2)) @ (sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[28810])).
% 141.02/41.00  thf(28902,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((sk12 @ sk9 @ (sk2)) != sk6) | ((sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2)) != A))),inference(simp,[status(thm)],[28811])).
% 141.02/41.00  thf(28935,plain,((princ_inj @ sk1 @ (sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2))) | ((sk12 @ sk9 @ (sk2)) != sk6)),inference(simp,[status(thm)],[28902])).
% 141.02/41.00  thf(28364,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk9 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,28212])).
% 141.02/41.00  thf(28365,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((A @ B) != (sk2 @ (sk12 @ sk9 @ (sk2)))))),inference(simp,[status(thm)],[28364])).
% 141.02/41.00  thf(28395,plain,((relr @ sk9 @ (sk11 @ sk9 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[28365:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(1055,plain,(! [A:($i > $o)] : ((sk6 != sk3) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ sk4) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[166,935])).
% 141.02/41.00  thf(1056,plain,(! [A:($i > $o)] : ((sk6 != sk3) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ sk4) != (A @ sk6)))),inference(simp,[status(thm)],[1055])).
% 141.02/41.00  thf(1106,plain,((sk6 != sk3) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ sk4))))),inference(pre_uni,[status(thm)],[1056:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ sk4)))]])).
% 141.02/41.00  thf(3578,plain,((relr @ sk9 @ (sk11 @ sk9 @ (reli @ sk4))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2))))),inference(pre_uni,[status(thm)],[3551:[bind(A, $thf(reli @ sk4)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(36321,plain,(! [A:$i] : (~ (($true)) | (sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6) | ((relr @ A @ (sk11 @ A @ (^ [B:$i]: (($false))))) != (relr @ sk6 @ sk6)))),inference(paramod_ordered,[status(thm)],[1706,36162])).
% 141.02/41.00  thf(36322,plain,(! [A:$i] : ((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6) | ((relr @ A @ (sk11 @ A @ (^ [B:$i]: (($false))))) != (relr @ sk6 @ sk6)))),inference(simp,[status(thm)],[36321])).
% 141.02/41.00  thf(36370,plain,(! [A:$i] : ((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6) | (A != sk6) | ((sk11 @ A @ (^ [B:$i]: (($false)))) != sk6))),inference(simp,[status(thm)],[36322])).
% 141.02/41.00  thf(36416,plain,((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6) | ((sk11 @ sk6 @ (^ [A:$i]: (($false)))) != sk6)),inference(simp,[status(thm)],[36370])).
% 141.02/41.00  thf(4133,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((A @ B) != (reli @ sk6 @ sk9)))),inference(paramod_ordered,[status(thm)],[24,3391])).
% 141.02/41.00  thf(4134,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((A @ B) != (reli @ sk6 @ sk9)))),inference(simp,[status(thm)],[4133])).
% 141.02/41.00  thf(4176,plain,((reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9)))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2))))),inference(pre_uni,[status(thm)],[4134:[bind(A, $thf(^ [C:$i]: (reli @ C @ sk9))),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(18651,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (reli @ sk6 @ (sk10 @ sk6 @ (^ [C:$i]: (reli @ C @ sk9)))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,4176])).
% 141.02/41.00  thf(18652,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (reli @ sk6 @ (sk10 @ sk6 @ (^ [C:$i]: (reli @ C @ sk9)))) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[18651])).
% 141.02/41.00  thf(18677,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9))))),inference(pre_uni,[status(thm)],[18652:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(149,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk7 @ sk9) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[12,17])).
% 141.02/41.00  thf(150,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ sk7 @ sk9) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[149])).
% 141.02/41.00  thf(161,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk7 != sk6) | (sk9 != A))),inference(simp,[status(thm)],[150])).
% 141.02/41.00  thf(163,plain,((princ_inj @ sk1 @ sk9) | (sk7 != sk6)),inference(simp,[status(thm)],[161])).
% 141.02/41.00  thf(1071,plain,(! [A:($i > $o)] : ((sk7 != sk6) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ sk9) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[163,935])).
% 141.02/41.00  thf(1072,plain,(! [A:($i > $o)] : ((sk7 != sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ sk9) != (A @ sk6)))),inference(simp,[status(thm)],[1071])).
% 141.02/41.00  thf(1096,plain,((sk7 != sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ sk9))))),inference(pre_uni,[status(thm)],[1072:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ sk9)))]])).
% 141.02/41.00  thf(109434,plain,(! [C:$i,B:($i > $o),A:($i > $i)] : ((princ_inj @ loca @ sk6) | ~ (($true)) | (B @ C) | ((reli @ sk5 @ (sk10 @ sk5 @ (^ [D:$i]: (reli @ (A @ D) @ D)))) != (B @ (sk10 @ C @ (B)))))),inference(paramod_ordered,[status(thm)],[93756,25])).
% 141.02/41.00  thf(109435,plain,(! [C:$i,B:($i > $o),A:($i > $i)] : ((princ_inj @ loca @ sk6) | (B @ C) | ((reli @ sk5 @ (sk10 @ sk5 @ (^ [D:$i]: (reli @ (A @ D) @ D)))) != (B @ (sk10 @ C @ (B)))))),inference(simp,[status(thm)],[109434])).
% 141.02/41.00  thf(109941,plain,((princ_inj @ loca @ sk6) | (reli @ sk5 @ sk5)),inference(pre_uni,[status(thm)],[109435:[bind(A, $thf(^ [D:$i]: (sk5))),bind(B, $thf(reli @ sk5)),bind(C, $thf(sk5))]])).
% 141.02/41.00  thf(3614,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (sk7 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3604])).
% 141.02/41.00  thf(3615,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (sk7 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[3614])).
% 141.02/41.00  thf(3632,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk7 != sk4)),inference(pre_uni,[status(thm)],[3615:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(128,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk6 @ sk7) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[19,21])).
% 141.02/41.00  thf(129,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk6 @ sk7) != (reli @ B @ C)))),inference(simp,[status(thm)],[128])).
% 141.02/41.00  thf(130,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk6)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ A))) | (~ (reli @ sk7 @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[129:[bind(A, $thf(A)),bind(B, $thf(sk6)),bind(C, $thf(sk7))]])).
% 141.02/41.00  thf(141,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk6)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ A))) | (~ (reli @ sk7 @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[130])).
% 141.02/41.00  thf(72163,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | ((reli @ sk5 @ sk7) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,69594])).
% 141.02/41.00  thf(72164,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | ((reli @ sk5 @ sk7) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[72163])).
% 141.02/41.00  thf(72245,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | (sk5 != sk3) | (sk7 != sk4)),inference(simp,[status(thm)],[72164])).
% 141.02/41.00  thf(36337,plain,(~ (($true)) | (sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6) | ((relr @ sk6 @ sk6) != (relr @ sk4 @ sk5))),inference(paramod_ordered,[status(thm)],[15,36162])).
% 141.02/41.00  thf(36338,plain,((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6) | ((relr @ sk6 @ sk6) != (relr @ sk4 @ sk5))),inference(simp,[status(thm)],[36337])).
% 141.02/41.00  thf(36379,plain,((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk6) | (sk6 != sk4) | (sk6 != sk5)),inference(simp,[status(thm)],[36338])).
% 141.02/41.00  thf(118,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | ~ (($true)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((relr @ sk4 @ sk5) != (relr @ A @ B)))),inference(paramod_ordered,[status(thm)],[15,21])).
% 141.02/41.00  thf(119,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((relr @ sk4 @ sk5) != (relr @ A @ B)))),inference(simp,[status(thm)],[118])).
% 141.02/41.00  thf(120,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ A @ sk5 @ sk4))) | (~ (reli @ A @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[119:[bind(A, $thf(sk4)),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(124,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ A @ sk5 @ sk4))) | (~ (reli @ A @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[120])).
% 141.02/41.00  thf(77188,plain,((~ (reli @ sk7 @ sk4)) | ~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,62685])).
% 141.02/41.00  thf(77189,plain,((~ (reli @ sk7 @ sk4)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[77188])).
% 141.02/41.00  thf(77456,plain,((~ (reli @ sk7 @ sk4)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk5 != sk5) | (sk7 != sk6)),inference(simp,[status(thm)],[77189])).
% 141.02/41.00  thf(77554,plain,((~ (reli @ sk7 @ sk4)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk6)),inference(simp,[status(thm)],[77456])).
% 141.02/41.00  thf(77994,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk6 @ sk7))),inference(paramod_ordered,[status(thm)],[19,77554])).
% 141.02/41.00  thf(77995,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk6 @ sk7))),inference(simp,[status(thm)],[77994])).
% 141.02/41.00  thf(78077,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk6) | (sk7 != sk6) | (sk7 != sk4)),inference(simp,[status(thm)],[77995])).
% 141.02/41.00  thf(78121,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk6) | (sk7 != sk4)),inference(simp,[status(thm)],[78077])).
% 141.02/41.00  thf(63396,plain,(! [A:$i] : (~ (($true)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk7 @ sk4)))),inference(paramod_ordered,[status(thm)],[507,63273])).
% 141.02/41.00  thf(63397,plain,(! [A:$i] : ((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk7 @ sk4)))),inference(simp,[status(thm)],[63396])).
% 141.02/41.00  thf(63533,plain,(! [A:$i] : ((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (A != sk7) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk4))),inference(simp,[status(thm)],[63397])).
% 141.02/41.00  thf(63582,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((sk10 @ sk7 @ (^ [A:$i]: (($false)))) != sk4)),inference(simp,[status(thm)],[63533])).
% 141.02/41.00  thf(4287,plain,((reli @ sk5 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk7 != sk6)),inference(pre_uni,[status(thm)],[4270:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(10861,plain,(! [A:$i] : ((sk7 != sk6) | ~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk5 @ (sk10 @ sk5 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[4287,17])).
% 141.02/41.00  thf(10862,plain,(! [A:$i] : ((sk7 != sk6) | (princ_inj @ sk1 @ A) | ((reli @ sk5 @ (sk10 @ sk5 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[10861])).
% 141.02/41.00  thf(10921,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk7 != sk6) | (sk6 != sk5) | ((sk10 @ sk5 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2)))) != A))),inference(simp,[status(thm)],[10862])).
% 141.02/41.00  thf(10936,plain,((princ_inj @ sk1 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk7 != sk6) | (sk6 != sk5)),inference(simp,[status(thm)],[10921])).
% 141.02/41.00  thf(1688,plain,(! [A:($i > $o)] : ((~ (prop_b @ sk6)) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_b @ B)))) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[1089,935])).
% 141.02/41.00  thf(1689,plain,(! [A:($i > $o)] : ((~ (prop_b @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_b @ B)))) != (A @ sk6)))),inference(simp,[status(thm)],[1688])).
% 141.02/41.00  thf(1700,plain,((~ (prop_b @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ A @ (^ [B:$i]: ~ (prop_b @ B)))))))),inference(pre_uni,[status(thm)],[1689:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ B @ (^ [C:$i]: ~ (prop_b @ C))))))]])).
% 141.02/41.00  thf(1423,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk6 @ sk7)))),inference(paramod_ordered,[status(thm)],[19,596])).
% 141.02/41.00  thf(1424,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk6 @ sk7)))),inference(simp,[status(thm)],[1423])).
% 141.02/41.00  thf(1432,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk6) | (A != sk7))),inference(simp,[status(thm)],[1424])).
% 141.02/41.00  thf(1446,plain,((sk2 @ sk7) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk6)),inference(simp,[status(thm)],[1432])).
% 141.02/41.00  thf(210,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | ~ (($true)) | (sk2 @ D) | ((reli @ sk3 @ sk4) != (reli @ C @ D)))),inference(paramod_ordered,[status(thm)],[11,20])).
% 141.02/41.00  thf(211,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (sk2 @ D) | ((reli @ sk3 @ sk4) != (reli @ C @ D)))),inference(simp,[status(thm)],[210])).
% 141.02/41.00  thf(212,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk3)) | (reli @ sk3 @ (sk8 @ sk3 @ B @ A)) | (sk2 @ sk4))),inference(pattern_uni,[status(thm)],[211:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk3)),bind(D, $thf(sk4))]])).
% 141.02/41.00  thf(11104,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ B @ (sk2)))) | ~ (($true)) | ((reli @ A @ (sk10 @ A @ (^ [C:$i]: (($false))))) != (reli @ B @ sk7)))),inference(paramod_ordered,[status(thm)],[507,3399])).
% 141.02/41.00  thf(11105,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ B @ (sk2)))) | ((reli @ A @ (sk10 @ A @ (^ [C:$i]: (($false))))) != (reli @ B @ sk7)))),inference(simp,[status(thm)],[11104])).
% 141.02/41.00  thf(11199,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ B @ (sk2)))) | (A != B) | ((sk10 @ A @ (^ [C:$i]: (($false)))) != sk7))),inference(simp,[status(thm)],[11105])).
% 141.02/41.00  thf(11248,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk7))),inference(simp,[status(thm)],[11199])).
% 141.02/41.00  thf(176,plain,(! [H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | ~ (($true)) | (~ (relr @ E @ F)) | (~ (reli @ F @ G)) | (~ (princ_inj @ sk1 @ (sk8 @ G @ F @ E))) | (~ (reli @ G @ H)) | (sk2 @ H) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ sk7 @ E)))),inference(paramod_ordered,[status(thm)],[20,21])).
% 141.02/41.00  thf(177,plain,(! [H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (~ (relr @ E @ F)) | (~ (reli @ F @ G)) | (~ (princ_inj @ sk1 @ (sk8 @ G @ F @ E))) | (~ (reli @ G @ H)) | (sk2 @ H) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ sk7 @ E)))),inference(simp,[status(thm)],[176])).
% 141.02/41.00  thf(178,plain,(! [F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ F)) | (~ (relr @ F @ E)) | (~ (reli @ E @ sk7)) | (~ (reli @ sk7 @ A)) | (sk2 @ A) | (~ (relr @ (sk8 @ sk7 @ E @ F) @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ (sk8 @ sk7 @ E @ F)))) | (~ (reli @ C @ D)) | (sk2 @ D))),inference(pattern_uni,[status(thm)],[177:[bind(A, $thf(K)),bind(B, $thf(J)),bind(C, $thf(sk7)),bind(D, $thf(D)),bind(E, $thf(sk8 @ sk7 @ J @ K)),bind(F, $thf(F)),bind(G, $thf(G)),bind(H, $thf(H))]])).
% 141.02/41.00  thf(256,plain,(! [F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ F)) | (~ (relr @ F @ E)) | (~ (reli @ E @ sk7)) | (~ (reli @ sk7 @ A)) | (sk2 @ A) | (~ (relr @ (sk8 @ sk7 @ E @ F) @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ (sk8 @ sk7 @ E @ F)))) | (~ (reli @ C @ D)) | (sk2 @ D))),inference(simp,[status(thm)],[178])).
% 141.02/41.00  thf(63462,plain,(~ (($true)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,63273])).
% 141.02/41.00  thf(63463,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[63462])).
% 141.02/41.00  thf(63546,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | (sk4 != sk4)),inference(simp,[status(thm)],[63463])).
% 141.02/41.00  thf(63585,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3)),inference(simp,[status(thm)],[63546])).
% 141.02/41.00  thf(62901,plain,(~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,62611])).
% 141.02/41.00  thf(62902,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[62901])).
% 141.02/41.00  thf(63186,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[62902])).
% 141.02/41.00  thf(63325,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | (sk9 != sk4)),inference(simp,[status(thm)],[63186])).
% 141.02/41.00  thf(66508,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | ~ (($true)) | (sk6 != sk5) | (sk9 != sk4) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(paramod_ordered,[status(thm)],[17,63325])).
% 141.02/41.00  thf(66509,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (sk6 != sk5) | (sk9 != sk4) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(simp,[status(thm)],[66508])).
% 141.02/41.00  thf(66510,plain,((~ (reli @ sk6 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | (sk9 != sk4)),inference(pattern_uni,[status(thm)],[66509:[bind(A, $thf(sk8 @ sk7 @ sk5 @ sk4))]])).
% 141.02/41.00  thf(1414,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk9 @ (sk10 @ sk9 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[492,596])).
% 141.02/41.00  thf(1415,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk9 @ (sk10 @ sk9 @ (sk2)))))),inference(simp,[status(thm)],[1414])).
% 141.02/41.00  thf(1437,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk9) | (A != (sk10 @ sk9 @ (sk2))))),inference(simp,[status(thm)],[1415])).
% 141.02/41.00  thf(1451,plain,((sk2 @ (sk10 @ sk9 @ (sk2))) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk9)),inference(simp,[status(thm)],[1437])).
% 141.02/41.00  thf(73672,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (~ (reli @ sk5 @ sk7)) | ~ (($true)) | (sk7 != sk3) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(paramod_ordered,[status(thm)],[17,62629])).
% 141.02/41.00  thf(73673,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (~ (reli @ sk5 @ sk7)) | (sk7 != sk3) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(simp,[status(thm)],[73672])).
% 141.02/41.00  thf(73674,plain,((~ (reli @ sk6 @ (sk8 @ sk7 @ sk5 @ sk4))) | (~ (reli @ sk5 @ sk7)) | (sk7 != sk3)),inference(pattern_uni,[status(thm)],[73673:[bind(A, $thf(sk8 @ sk7 @ sk5 @ sk4))]])).
% 141.02/41.00  thf(24391,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk7 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,24181])).
% 141.02/41.00  thf(24392,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((A @ B) != (sk2 @ (sk12 @ sk7 @ (sk2)))))),inference(simp,[status(thm)],[24391])).
% 141.02/41.00  thf(24438,plain,((reli @ sk7 @ (sk10 @ sk7 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[24392:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk7))]])).
% 141.02/41.00  thf(95321,plain,((sk5 != sk4) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ sk6))))),inference(pre_uni,[status(thm)],[95277:[bind(A, $thf(^ [B:$i]: (princ_inj @ loca @ sk6)))]])).
% 141.02/41.00  thf(86428,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | ~ (($true)) | (sk7 != sk6) | (sk9 != sk4) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(paramod_ordered,[status(thm)],[17,80692])).
% 141.02/41.00  thf(86429,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (sk7 != sk6) | (sk9 != sk4) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(simp,[status(thm)],[86428])).
% 141.02/41.00  thf(86430,plain,((~ (reli @ sk6 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk6) | (sk9 != sk4)),inference(pattern_uni,[status(thm)],[86429:[bind(A, $thf(sk8 @ sk7 @ sk5 @ sk4))]])).
% 141.02/41.00  thf(3524,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (~ (reli @ sk4 @ sk9)) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3354])).
% 141.02/41.00  thf(3525,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (~ (reli @ sk4 @ sk9)) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[3524])).
% 141.02/41.00  thf(3592,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (~ (reli @ sk4 @ sk9))),inference(pre_uni,[status(thm)],[3525:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(25324,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk7 @ (sk10 @ sk7 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[24438,17])).
% 141.02/41.00  thf(25325,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ sk7 @ (sk10 @ sk7 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[25324])).
% 141.02/41.00  thf(25411,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk7 != sk6) | ((sk10 @ sk7 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2)))) != A))),inference(simp,[status(thm)],[25325])).
% 141.02/41.00  thf(25438,plain,((princ_inj @ sk1 @ (sk10 @ sk7 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk7 != sk6)),inference(simp,[status(thm)],[25411])).
% 141.02/41.00  thf(73650,plain,(~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk3) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,62629])).
% 141.02/41.00  thf(73651,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk3) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[73650])).
% 141.02/41.00  thf(74007,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk3) | (sk5 != sk5) | (sk7 != sk6)),inference(simp,[status(thm)],[73651])).
% 141.02/41.00  thf(74058,plain,((~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk3) | (sk7 != sk6)),inference(simp,[status(thm)],[74007])).
% 141.02/41.00  thf(4283,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | (sk7 != sk6) | ((A @ sk6) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,4220])).
% 141.02/41.00  thf(4284,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (sk7 != sk6) | ((A @ sk6) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4283])).
% 141.02/41.00  thf(4288,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ sk5 @ sk2))))) | (sk7 != sk6)),inference(pre_uni,[status(thm)],[4284:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ sk5 @ sk2))))]])).
% 141.02/41.00  thf(260,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | ~ (($true)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((princ_inj @ sk1 @ (sk8 @ C @ B @ A)) != (princ_inj @ sk1 @ sk7)))),inference(paramod_ordered,[status(thm)],[158,21])).
% 141.02/41.00  thf(261,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((princ_inj @ sk1 @ (sk8 @ C @ B @ A)) != (princ_inj @ sk1 @ sk7)))),inference(simp,[status(thm)],[260])).
% 141.02/41.00  thf(264,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk1 != sk1) | ((sk8 @ C @ B @ A) != sk7))),inference(simp,[status(thm)],[261])).
% 141.02/41.00  thf(266,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | ((sk8 @ C @ B @ A) != sk7))),inference(simp,[status(thm)],[264])).
% 141.02/41.00  thf(74228,plain,(~ (($true)) | (sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,74044])).
% 141.02/41.00  thf(74229,plain,((sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk5 @ sk7) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[74228])).
% 141.02/41.00  thf(74377,plain,((sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk5 != sk5) | (sk7 != sk6)),inference(simp,[status(thm)],[74229])).
% 141.02/41.00  thf(74403,plain,((sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk6)),inference(simp,[status(thm)],[74377])).
% 141.02/41.00  thf(1498,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_c @ B)))) | ((A @ sk6) != (prop_c @ sk6)))),inference(paramod_ordered,[status(thm)],[506,1086])).
% 141.02/41.00  thf(1499,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_c @ B)))) | ((A @ sk6) != (prop_c @ sk6)))),inference(simp,[status(thm)],[1498])).
% 141.02/41.00  thf(1510,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_c))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_c @ A))))),inference(pre_uni,[status(thm)],[1499:[bind(A, $thf(prop_c))]])).
% 141.02/41.00  thf(1684,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_b @ C)))) | ((A @ B) != (prop_b @ sk6)))),inference(paramod_ordered,[status(thm)],[30,1089])).
% 141.02/41.00  thf(1685,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_b @ C)))) | ((A @ B) != (prop_b @ sk6)))),inference(simp,[status(thm)],[1684])).
% 141.02/41.00  thf(1698,plain,((relr @ sk6 @ (sk11 @ sk6 @ (prop_b))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_b @ A))))),inference(pre_uni,[status(thm)],[1685:[bind(A, $thf(prop_b)),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(93550,plain,(! [B:$i,A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | (princ_inj @ loca @ sk6) | ((A @ sk6) != (reli @ B @ sk5)))),inference(paramod_ordered,[status(thm)],[506,92734])).
% 141.02/41.00  thf(93551,plain,(! [B:$i,A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (princ_inj @ loca @ sk6) | ((A @ sk6) != (reli @ B @ sk5)))),inference(simp,[status(thm)],[93550])).
% 141.02/41.00  thf(93569,plain,(! [A:($i > $i)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (reli @ (A @ B) @ sk5)))) | (princ_inj @ loca @ sk6))),inference(pre_uni,[status(thm)],[93551:[bind(A, $thf(^ [D:$i]: (reli @ (C @ D) @ sk5))),bind(B, $thf(C @ sk6))]])).
% 141.02/41.00  thf(93695,plain,(! [A:($i > $i)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (reli @ (A @ B) @ sk5)))) | (princ_inj @ loca @ sk6))),inference(simp,[status(thm)],[93569])).
% 141.02/41.00  thf(4245,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | (sk9 != sk7) | ((A @ sk6) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,4211])).
% 141.02/41.00  thf(4246,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (sk9 != sk7) | ((A @ sk6) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[4245])).
% 141.02/41.00  thf(4256,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ sk5 @ sk2))))) | (sk9 != sk7)),inference(pre_uni,[status(thm)],[4246:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ sk5 @ sk2))))]])).
% 141.02/41.00  thf(93437,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk7 @ sk9) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[12,92734])).
% 141.02/41.00  thf(93438,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ sk7 @ sk9) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93437])).
% 141.02/41.00  thf(93638,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | (sk7 != A) | (sk9 != sk5))),inference(simp,[status(thm)],[93438])).
% 141.02/41.00  thf(93734,plain,((princ_inj @ loca @ sk6) | (sk9 != sk5)),inference(simp,[status(thm)],[93638])).
% 141.02/41.00  thf(95442,plain,(! [A:($i > $o)] : ((sk9 != sk5) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[93734,935])).
% 141.02/41.00  thf(95443,plain,(! [A:($i > $o)] : ((sk9 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(simp,[status(thm)],[95442])).
% 141.02/41.00  thf(95466,plain,((sk9 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ sk6))))),inference(pre_uni,[status(thm)],[95443:[bind(A, $thf(^ [B:$i]: (princ_inj @ loca @ sk6)))]])).
% 141.02/41.00  thf(43,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((~ (A @ (sk13 @ B @ (A)))) | (~ (relr @ B @ C)) | (~ (relr @ C @ D)) | (A @ D))),inference(cnfConj,[status(thm)],[41])).
% 141.02/41.00  thf(44,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((~ ((sk13 @ B @ (A)) = (sk13 @ B @ ((=) @ $i @ (sk13 @ B @ A))))) | (~ (relr @ B @ C)) | (~ (relr @ C @ D)) | ((sk13 @ B @ (A)) = D))),inference(replace_leibeq,[status(thm)],[43:[bind(A, $thf((=) @ $i @ (sk13 @ B @ A)))]])).
% 141.02/41.00  thf(45,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : (((sk13 @ B @ (A)) != (sk13 @ B @ ((=) @ $i @ (sk13 @ B @ A)))) | ((sk13 @ B @ (A)) = D) | (~ (relr @ B @ C)) | (~ (relr @ C @ D)))),inference(lifteq,[status(thm)],[44])).
% 141.02/41.00  thf(24436,plain,((reli @ (sk12 @ sk7 @ (sk2)) @ (sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2)))),inference(pre_uni,[status(thm)],[24392:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk7 @ (sk2)))]])).
% 141.02/41.00  thf(25640,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ (sk12 @ sk7 @ (sk2)) @ (sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[24436,17])).
% 141.02/41.00  thf(25641,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ (sk12 @ sk7 @ (sk2)) @ (sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[25640])).
% 141.02/41.00  thf(25755,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((sk12 @ sk7 @ (sk2)) != sk6) | ((sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2)) != A))),inference(simp,[status(thm)],[25641])).
% 141.02/41.00  thf(25774,plain,((princ_inj @ sk1 @ (sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2))) | ((sk12 @ sk7 @ (sk2)) != sk6)),inference(simp,[status(thm)],[25755])).
% 141.02/41.00  thf(18622,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9)))) != (reli @ sk6 @ sk9))),inference(paramod_ordered,[status(thm)],[4176,3391])).
% 141.02/41.00  thf(18623,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9)))) != (reli @ sk6 @ sk9))),inference(simp,[status(thm)],[18622])).
% 141.02/41.00  thf(18724,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk6 != sk6) | ((sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(simp,[status(thm)],[18623])).
% 141.02/41.00  thf(18756,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(simp,[status(thm)],[18724])).
% 141.02/41.00  thf(18810,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk6 @ (^ [C:$i]: (reli @ C @ sk9))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,18756])).
% 141.02/41.00  thf(18811,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((sk10 @ sk6 @ (^ [C:$i]: (reli @ C @ sk9))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[18810])).
% 141.02/41.00  thf(18841,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(pre_uni,[status(thm)],[18811:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(1359,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (sk6 != sk5) | ~ (($true)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((sk8 @ B @ A @ sk6) != sk6) | ((relr @ sk9 @ (sk11 @ sk9 @ (sk2))) != (relr @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[1274,275])).
% 141.02/41.00  thf(1360,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (sk6 != sk5) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((sk8 @ B @ A @ sk6) != sk6) | ((relr @ sk9 @ (sk11 @ sk9 @ (sk2))) != (relr @ sk6 @ A)))),inference(simp,[status(thm)],[1359])).
% 141.02/41.00  thf(1370,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (sk6 != sk5) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((sk8 @ B @ A @ sk6) != sk6) | (sk9 != sk6) | ((sk11 @ sk9 @ (sk2)) != A))),inference(simp,[status(thm)],[1360])).
% 141.02/41.00  thf(1374,plain,(! [B:$i,A:$i] : ((sk2 @ B) | (sk6 != sk5) | (~ (reli @ (sk11 @ sk9 @ (sk2)) @ A)) | (~ (reli @ A @ B)) | (sk7 != sk5) | ((sk8 @ A @ (sk11 @ sk9 @ (sk2)) @ sk6) != sk6) | (sk9 != sk6))),inference(simp,[status(thm)],[1370])).
% 141.02/41.00  thf(28383,plain,((reli @ sk9 @ (sk10 @ sk9 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[28342:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(4177,plain,((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk6))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2))))),inference(pre_uni,[status(thm)],[4134:[bind(A, $thf(reli @ sk6)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(18981,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk6))) != (reli @ sk6 @ sk9))),inference(paramod_ordered,[status(thm)],[4177,3391])).
% 141.02/41.00  thf(18982,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk6))) != (reli @ sk6 @ sk9))),inference(simp,[status(thm)],[18981])).
% 141.02/41.00  thf(19032,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk9 != sk6) | ((sk10 @ sk9 @ (reli @ sk6)) != sk9)),inference(simp,[status(thm)],[18982])).
% 141.02/41.00  thf(28735,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ~ (($true)) | ((reli @ (sk12 @ sk9 @ (sk2)) @ (sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2))) != (reli @ A @ sk7)))),inference(paramod_ordered,[status(thm)],[28381,3399])).
% 141.02/41.00  thf(28736,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ((reli @ (sk12 @ sk9 @ (sk2)) @ (sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2))) != (reli @ A @ sk7)))),inference(simp,[status(thm)],[28735])).
% 141.02/41.00  thf(28915,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ((sk12 @ sk9 @ (sk2)) != A) | ((sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2)) != sk7))),inference(simp,[status(thm)],[28736])).
% 141.02/41.00  thf(28947,plain,((~ (sk2 @ (sk12 @ (sk12 @ sk9 @ (sk2)) @ (sk2)))) | ((sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2)) != sk7)),inference(simp,[status(thm)],[28915])).
% 141.02/41.00  thf(93369,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[492,92734])).
% 141.02/41.00  thf(93370,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93369])).
% 141.02/41.00  thf(93662,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | (sk9 != A) | ((sk10 @ sk9 @ (sk2)) != sk5))),inference(simp,[status(thm)],[93370])).
% 141.02/41.00  thf(93748,plain,((princ_inj @ loca @ sk6) | ((sk10 @ sk9 @ (sk2)) != sk5)),inference(simp,[status(thm)],[93662])).
% 141.02/41.00  thf(3622,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | (sk7 != sk4) | ((A @ sk6) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,3604])).
% 141.02/41.00  thf(3623,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (sk7 != sk4) | ((A @ sk6) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[3622])).
% 141.02/41.00  thf(3636,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ sk3 @ sk2))))) | (sk7 != sk4)),inference(pre_uni,[status(thm)],[3623:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ sk3 @ sk2))))]])).
% 141.02/41.00  thf(93383,plain,(! [B:$i,A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ A @ (sk10 @ A @ (^ [C:$i]: (($false))))) != (reli @ B @ sk5)))),inference(paramod_ordered,[status(thm)],[507,92734])).
% 141.02/41.00  thf(93384,plain,(! [B:$i,A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ A @ (sk10 @ A @ (^ [C:$i]: (($false))))) != (reli @ B @ sk5)))),inference(simp,[status(thm)],[93383])).
% 141.02/41.00  thf(93645,plain,(! [B:$i,A:$i] : ((princ_inj @ loca @ sk6) | (A != B) | ((sk10 @ A @ (^ [C:$i]: (($false)))) != sk5))),inference(simp,[status(thm)],[93384])).
% 141.02/41.00  thf(93739,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk5))),inference(simp,[status(thm)],[93645])).
% 141.02/41.00  thf(875,plain,((prop_c @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_c)))),inference(prim_subst,[status(thm)],[506:[bind(A, $thf(prop_c))]])).
% 141.02/41.00  thf(3590,plain,((reli @ (sk12 @ sk3 @ (sk2)) @ (sk10 @ (sk12 @ sk3 @ (sk2)) @ (sk2))) | (~ (reli @ sk4 @ sk9))),inference(pre_uni,[status(thm)],[3525:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk3 @ (sk2)))]])).
% 141.02/41.00  thf(64791,plain,(~ (($true)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,63298])).
% 141.02/41.00  thf(64792,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[64791])).
% 141.02/41.00  thf(64902,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[64792])).
% 141.02/41.00  thf(64930,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[64902])).
% 141.02/41.00  thf(4474,plain,((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2)))),inference(pre_uni,[status(thm)],[4457:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk6 @ (sk2)))]])).
% 141.02/41.00  thf(5486,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ~ (($true)) | (~ (reli @ B @ sk9)) | ((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) != (reli @ A @ B)))),inference(paramod_ordered,[status(thm)],[4474,3131])).
% 141.02/41.00  thf(5487,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ B @ sk9)) | ((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) != (reli @ A @ B)))),inference(simp,[status(thm)],[5486])).
% 141.02/41.00  thf(5488,plain,((~ (sk2 @ (sk12 @ (sk12 @ sk6 @ (sk2)) @ (sk2)))) | (~ (reli @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2)) @ sk9))),inference(pattern_uni,[status(thm)],[5487:[bind(A, $thf(sk12 @ sk6 @ (sk2))),bind(B, $thf(sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2)))]])).
% 141.02/41.00  thf(187,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | ~ (($true)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk5 @ sk6) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[13,20])).
% 141.02/41.00  thf(188,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk5 @ sk6) != (reli @ B @ C)))),inference(simp,[status(thm)],[187])).
% 141.02/41.00  thf(189,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk5)) | (reli @ sk6 @ (sk8 @ sk6 @ sk5 @ A)) | (~ (reli @ sk6 @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[188:[bind(A, $thf(A)),bind(B, $thf(sk5)),bind(C, $thf(sk6))]])).
% 141.02/41.00  thf(259,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk5)) | (reli @ sk6 @ (sk8 @ sk6 @ sk5 @ A)) | (~ (reli @ sk6 @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[189])).
% 141.02/41.00  thf(26,plain,(! [B:$i,A:($i > $o)] : ((~ ((sk10 @ B @ (A)) = (sk10 @ B @ ((=) @ $i @ (sk10 @ B @ A))))) | ((sk10 @ B @ (A)) = B))),inference(replace_leibeq,[status(thm)],[25:[bind(A, $thf((=) @ $i @ (sk10 @ B @ A)))]])).
% 141.02/41.00  thf(27,plain,(! [B:$i,A:($i > $o)] : (((sk10 @ B @ (A)) != (sk10 @ B @ ((=) @ $i @ (sk10 @ B @ A)))) | ((sk10 @ B @ (A)) = B))),inference(lifteq,[status(thm)],[26])).
% 141.02/41.00  thf(1503,plain,((~ (prop_c @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ A @ (^ [B:$i]: ~ (prop_c @ B)))))))),inference(pre_uni,[status(thm)],[1501:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ B @ (^ [C:$i]: ~ (prop_c @ C))))))]])).
% 141.02/41.00  thf(6665,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | ((sk10 @ sk6 @ (^ [B:$i]: (($false)))) != sk9) | ((A @ sk6) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,4221])).
% 141.02/41.00  thf(6666,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ((sk10 @ sk6 @ (^ [B:$i]: (($false)))) != sk9) | ((A @ sk6) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[6665])).
% 141.02/41.00  thf(6673,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ sk5 @ sk2))))) | ((sk10 @ sk6 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[6666:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ sk5 @ sk2))))]])).
% 141.02/41.00  thf(64771,plain,(~ (($true)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk4) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,63298])).
% 141.02/41.00  thf(64772,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk4) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[64771])).
% 141.02/41.00  thf(64858,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk5) | (sk6 != sk4)),inference(simp,[status(thm)],[64772])).
% 141.02/41.00  thf(74290,plain,(~ (($true)) | (sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk5 @ sk7) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,74044])).
% 141.02/41.00  thf(74291,plain,((sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk5 @ sk7) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[74290])).
% 141.02/41.00  thf(74394,plain,((sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk5 != sk3) | (sk7 != sk4)),inference(simp,[status(thm)],[74291])).
% 141.02/41.00  thf(49,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((relr @ (sk14 @ B @ (A)) @ (sk15 @ B @ (A))) | (~ (relr @ B @ C)) | (~ (reli @ C @ D)) | (A @ D))),inference(cnfConj,[status(thm)],[47])).
% 141.02/41.00  thf(1045,plain,(! [A:($i > $o)] : ((prop_b @ sk6) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_b))) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[870,935])).
% 141.02/41.00  thf(1046,plain,(! [A:($i > $o)] : ((prop_b @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_b))) != (A @ sk6)))),inference(simp,[status(thm)],[1045])).
% 141.02/41.00  thf(1092,plain,((prop_b @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ sk6 @ prop_b)))))),inference(pre_uni,[status(thm)],[1046:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ sk6 @ prop_b))))]])).
% 141.02/41.00  thf(3538,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ sk5 @ sk6) != (reli @ sk4 @ sk9))),inference(paramod_ordered,[status(thm)],[13,3354])).
% 141.02/41.00  thf(3539,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ sk5 @ sk6) != (reli @ sk4 @ sk9))),inference(simp,[status(thm)],[3538])).
% 141.02/41.00  thf(3579,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk5 != sk4) | (sk9 != sk6)),inference(simp,[status(thm)],[3539])).
% 141.02/41.00  thf(3589,plain,((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk4))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2))))),inference(pre_uni,[status(thm)],[3527:[bind(A, $thf(reli @ sk4)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(17239,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk4))) != (reli @ sk4 @ sk9))),inference(paramod_ordered,[status(thm)],[3589,3354])).
% 141.02/41.00  thf(17240,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk4))) != (reli @ sk4 @ sk9))),inference(simp,[status(thm)],[17239])).
% 141.02/41.00  thf(17369,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk9 != sk4) | ((sk10 @ sk9 @ (reli @ sk4)) != sk9)),inference(simp,[status(thm)],[17240])).
% 141.02/41.00  thf(69648,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,69565])).
% 141.02/41.00  thf(69649,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[69648])).
% 141.02/41.00  thf(69777,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | (sk7 != sk5) | (sk6 != sk4)),inference(simp,[status(thm)],[69649])).
% 141.02/41.00  thf(63,plain,(! [D:$i,C:$i,B:$i,A:$i] : (~ (($true)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ A)))),inference(paramod_ordered,[status(thm)],[12,21])).
% 141.02/41.00  thf(64,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ A)))),inference(simp,[status(thm)],[63])).
% 141.02/41.00  thf(65,plain,(! [C:$i,B:$i,A:$i] : ((~ (relr @ sk9 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk9))) | (~ (reli @ B @ C)) | (sk2 @ C))),inference(pattern_uni,[status(thm)],[64:[bind(A, $thf(sk9))]])).
% 141.02/41.00  thf(86,plain,(! [C:$i,B:$i,A:$i] : ((~ (relr @ sk9 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk9))) | (~ (reli @ B @ C)) | (sk2 @ C))),inference(simp,[status(thm)],[65])).
% 141.02/41.00  thf(4186,plain,((reli @ (sk12 @ sk5 @ (sk2)) @ (sk10 @ (sk12 @ sk5 @ (sk2)) @ (sk2))) | (~ (reli @ sk6 @ sk9))),inference(pre_uni,[status(thm)],[4132:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk5 @ (sk2)))]])).
% 141.02/41.00  thf(17152,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_c))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_c @ A)))) != (princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_c)))) | ~ (($true))),inference(eqfactor_ordered,[status(thm)],[1510])).
% 141.02/41.00  thf(17164,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_c))) | (sk1 != sk1) | ((sk10 @ sk6 @ (^ [A:$i]: ~ (prop_c @ A))) != (sk10 @ sk6 @ (prop_c)))),inference(simp,[status(thm)],[17152])).
% 141.02/41.00  thf(17173,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_c))) | ((sk10 @ sk6 @ (^ [A:$i]: ~ (prop_c @ A))) != (sk10 @ sk6 @ (prop_c)))),inference(simp,[status(thm)],[17164])).
% 141.02/41.00  thf(776,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk4 @ A)))),inference(paramod_ordered,[status(thm)],[492,372])).
% 141.02/41.00  thf(777,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | ((reli @ sk9 @ (sk10 @ sk9 @ (sk2))) != (reli @ sk4 @ A)))),inference(simp,[status(thm)],[776])).
% 141.02/41.00  thf(794,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk9 != sk4) | ((sk10 @ sk9 @ (sk2)) != A))),inference(simp,[status(thm)],[777])).
% 141.02/41.00  thf(804,plain,((sk2 @ (sk10 @ sk9 @ (sk2))) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk9 != sk4)),inference(simp,[status(thm)],[794])).
% 141.02/41.00  thf(95467,plain,((sk9 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ A))))),inference(pre_uni,[status(thm)],[95443:[bind(A, $thf(princ_inj @ loca))]])).
% 141.02/41.00  thf(4127,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ sk6 @ sk9) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,3391])).
% 141.02/41.00  thf(4128,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ sk6 @ sk9) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[4127])).
% 141.02/41.00  thf(4178,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk6 != sk3) | (sk9 != sk4)),inference(simp,[status(thm)],[4128])).
% 141.02/41.00  thf(6736,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (sk6 != sk3) | (sk9 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,4178])).
% 141.02/41.00  thf(6737,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (sk6 != sk3) | (sk9 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[6736])).
% 141.02/41.00  thf(6742,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk6 != sk3) | (sk9 != sk4)),inference(pre_uni,[status(thm)],[6737:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(268,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk6 != sk5) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | ~ (($true)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((princ_inj @ sk1 @ (sk8 @ C @ B @ A)) != (princ_inj @ sk1 @ sk6)))),inference(paramod_ordered,[status(thm)],[162,21])).
% 141.02/41.00  thf(269,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk6 != sk5) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((princ_inj @ sk1 @ (sk8 @ C @ B @ A)) != (princ_inj @ sk1 @ sk6)))),inference(simp,[status(thm)],[268])).
% 141.02/41.00  thf(272,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (sk6 != sk5) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk1 != sk1) | ((sk8 @ C @ B @ A) != sk6))),inference(simp,[status(thm)],[269])).
% 141.02/41.00  thf(274,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (sk6 != sk5) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | ((sk8 @ C @ B @ A) != sk6))),inference(simp,[status(thm)],[272])).
% 141.02/41.00  thf(1059,plain,(! [A:($i > $o)] : ((prop_c @ sk6) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_c))) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[875,935])).
% 141.02/41.00  thf(1060,plain,(! [A:($i > $o)] : ((prop_c @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_c))) != (A @ sk6)))),inference(simp,[status(thm)],[1059])).
% 141.02/41.00  thf(1117,plain,((prop_c @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ A @ prop_c)))))),inference(pre_uni,[status(thm)],[1060:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ B @ prop_c))))]])).
% 141.02/41.00  thf(3392,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ~ (($true)) | ((reli @ sk5 @ sk6) != (reli @ B @ sk9)))),inference(paramod_ordered,[status(thm)],[13,3131])).
% 141.02/41.00  thf(3393,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ((reli @ sk5 @ sk6) != (reli @ B @ sk9)))),inference(simp,[status(thm)],[3392])).
% 141.02/41.00  thf(3429,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | (sk5 != B) | (sk9 != sk6))),inference(simp,[status(thm)],[3393])).
% 141.02/41.00  thf(3468,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ sk5)) | (sk9 != sk6))),inference(simp,[status(thm)],[3429])).
% 141.02/41.00  thf(5395,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (sk5 != sk4) | (sk9 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,3579])).
% 141.02/41.00  thf(5396,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (sk5 != sk4) | (sk9 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5395])).
% 141.02/41.00  thf(5407,plain,((relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk5 != sk4) | (sk9 != sk6)),inference(pre_uni,[status(thm)],[5396:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(38,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((~ ((sk12 @ B @ (A)) = (sk12 @ B @ ((=) @ $i @ (sk12 @ B @ A))))) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | ((sk12 @ B @ (A)) = D))),inference(replace_leibeq,[status(thm)],[37:[bind(A, $thf((=) @ $i @ (sk12 @ B @ A)))]])).
% 141.02/41.00  thf(39,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : (((sk12 @ B @ (A)) != (sk12 @ B @ ((=) @ $i @ (sk12 @ B @ A)))) | ((sk12 @ B @ (A)) = D) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)))),inference(lifteq,[status(thm)],[38])).
% 141.02/41.00  thf(3552,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ sk6 @ sk7) != (reli @ sk4 @ sk9))),inference(paramod_ordered,[status(thm)],[19,3354])).
% 141.02/41.00  thf(3553,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ sk6 @ sk7) != (reli @ sk4 @ sk9))),inference(simp,[status(thm)],[3552])).
% 141.02/41.00  thf(3586,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk6 != sk4) | (sk9 != sk7)),inference(simp,[status(thm)],[3553])).
% 141.02/41.00  thf(64761,plain,(! [A:$i] : (~ (($true)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk7 @ sk4)))),inference(paramod_ordered,[status(thm)],[507,63298])).
% 141.02/41.00  thf(64762,plain,(! [A:$i] : ((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk7 @ sk4)))),inference(simp,[status(thm)],[64761])).
% 141.02/41.00  thf(64894,plain,(! [A:$i] : ((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (A != sk7) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk4))),inference(simp,[status(thm)],[64762])).
% 141.02/41.00  thf(64960,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((sk10 @ sk7 @ (^ [A:$i]: (($false)))) != sk4)),inference(simp,[status(thm)],[64894])).
% 141.02/41.00  thf(71865,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | ((reli @ sk7 @ sk9) != (reli @ sk5 @ sk7))),inference(paramod_ordered,[status(thm)],[12,69574])).
% 141.02/41.00  thf(71866,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | ((reli @ sk7 @ sk9) != (reli @ sk5 @ sk7))),inference(simp,[status(thm)],[71865])).
% 141.02/41.00  thf(71992,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | (sk7 != sk5) | (sk9 != sk7)),inference(simp,[status(thm)],[71866])).
% 141.02/41.00  thf(5605,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (sk6 != sk4) | (sk9 != sk7) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3586])).
% 141.02/41.00  thf(5606,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (sk6 != sk4) | (sk9 != sk7) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5605])).
% 141.02/41.00  thf(5631,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk6 != sk4) | (sk9 != sk7)),inference(pre_uni,[status(thm)],[5606:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(221,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | ~ (($true)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk6 @ sk7) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[19,20])).
% 141.02/41.00  thf(222,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk6 @ sk7) != (reli @ B @ C)))),inference(simp,[status(thm)],[221])).
% 141.02/41.00  thf(223,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk6)) | (reli @ sk7 @ (sk8 @ sk7 @ sk6 @ A)) | (~ (reli @ sk7 @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[222:[bind(A, $thf(A)),bind(B, $thf(sk6)),bind(C, $thf(sk7))]])).
% 141.02/41.00  thf(245,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk6)) | (reli @ sk7 @ (sk8 @ sk7 @ sk6 @ A)) | (~ (reli @ sk7 @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[223])).
% 141.02/41.00  thf(93544,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[4474,92734])).
% 141.02/41.00  thf(93545,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93544])).
% 141.02/41.00  thf(93596,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((sk12 @ sk6 @ (sk2)) != A) | ((sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2)) != sk5))),inference(simp,[status(thm)],[93545])).
% 141.02/41.00  thf(93707,plain,((princ_inj @ loca @ sk6) | ((sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2)) != sk5)),inference(simp,[status(thm)],[93596])).
% 141.02/41.00  thf(62878,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (~ (reli @ sk7 @ sk4)) | ~ (($true)) | (sk6 != sk5) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(paramod_ordered,[status(thm)],[17,62611])).
% 141.02/41.00  thf(62879,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (~ (reli @ sk7 @ sk4)) | (sk6 != sk5) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(simp,[status(thm)],[62878])).
% 141.02/41.00  thf(62880,plain,((~ (reli @ sk6 @ (sk8 @ sk7 @ sk5 @ sk4))) | (~ (reli @ sk7 @ sk4)) | (sk6 != sk5)),inference(pattern_uni,[status(thm)],[62879:[bind(A, $thf(sk8 @ sk7 @ sk5 @ sk4))]])).
% 141.02/41.00  thf(81,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (sk2 @ D) | ((reli @ C @ D) != (reli @ B @ C)) | ~ (($true)))),inference(eqfactor_ordered,[status(thm)],[21])).
% 141.02/41.00  thf(85,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ B @ A))) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[81:[bind(A, $thf(A)),bind(B, $thf(D)),bind(C, $thf(D))]])).
% 141.02/41.00  thf(91,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ B @ A))) | (sk2 @ B))),inference(simp,[status(thm)],[85])).
% 141.02/41.00  thf(4170,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((A @ sk6) != (reli @ sk6 @ sk9)))),inference(paramod_ordered,[status(thm)],[506,3391])).
% 141.02/41.00  thf(4171,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((A @ sk6) != (reli @ sk6 @ sk9)))),inference(simp,[status(thm)],[4170])).
% 141.02/41.00  thf(4181,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (reli @ sk6 @ sk9)))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2))))),inference(pre_uni,[status(thm)],[4171:[bind(A, $thf(^ [B:$i]: (reli @ sk6 @ sk9)))]])).
% 141.02/41.00  thf(6678,plain,((reli @ (sk12 @ sk5 @ (sk2)) @ (sk10 @ (sk12 @ sk5 @ (sk2)) @ (sk2))) | ((sk10 @ sk6 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[6644:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk5 @ (sk2)))]])).
% 141.02/41.00  thf(196,plain,(! [D:$i,C:$i,B:$i,A:$i] : (~ (($true)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ A)))),inference(paramod_ordered,[status(thm)],[12,20])).
% 141.02/41.00  thf(197,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ A)))),inference(simp,[status(thm)],[196])).
% 141.02/41.00  thf(198,plain,(! [C:$i,B:$i,A:$i] : ((~ (relr @ sk9 @ A)) | (~ (reli @ A @ B)) | (reli @ B @ (sk8 @ B @ A @ sk9)) | (~ (reli @ B @ C)) | (sk2 @ C))),inference(pattern_uni,[status(thm)],[197:[bind(A, $thf(sk9))]])).
% 141.02/41.00  thf(240,plain,(! [C:$i,B:$i,A:$i] : ((~ (relr @ sk9 @ A)) | (~ (reli @ A @ B)) | (reli @ B @ (sk8 @ B @ A @ sk9)) | (~ (reli @ B @ C)) | (sk2 @ C))),inference(simp,[status(thm)],[198])).
% 141.02/41.00  thf(170,plain,(! [H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (~ (reli @ sk7 @ E)) | (~ (relr @ E @ F)) | ~ (($true)) | (reli @ G @ (sk8 @ G @ F @ E)) | (~ (reli @ G @ H)) | (sk2 @ H) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ F @ G)))),inference(paramod_ordered,[status(thm)],[20,20])).
% 141.02/41.00  thf(171,plain,(! [H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (~ (reli @ sk7 @ E)) | (~ (relr @ E @ F)) | (reli @ G @ (sk8 @ G @ F @ E)) | (~ (reli @ G @ H)) | (sk2 @ H) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ F @ G)))),inference(simp,[status(thm)],[170])).
% 141.02/41.00  thf(172,plain,(! [F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ F)) | (~ (relr @ F @ E)) | (~ (reli @ E @ D)) | (~ (reli @ D @ A)) | (sk2 @ A) | (~ (reli @ sk7 @ B)) | (~ (relr @ B @ D)) | (reli @ (sk8 @ D @ E @ F) @ (sk8 @ (sk8 @ D @ E @ F) @ D @ B)) | (~ (reli @ (sk8 @ D @ E @ F) @ C)) | (sk2 @ C))),inference(pattern_uni,[status(thm)],[171:[bind(A, $thf(K)),bind(B, $thf(J)),bind(C, $thf(I)),bind(D, $thf(D)),bind(E, $thf(E)),bind(F, $thf(I)),bind(G, $thf(sk8 @ I @ J @ K))]])).
% 141.02/41.00  thf(251,plain,(! [F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ F)) | (~ (relr @ F @ E)) | (~ (reli @ E @ D)) | (~ (reli @ D @ A)) | (sk2 @ A) | (~ (reli @ sk7 @ B)) | (~ (relr @ B @ D)) | (reli @ (sk8 @ D @ E @ F) @ (sk8 @ (sk8 @ D @ E @ F) @ D @ B)) | (~ (reli @ (sk8 @ D @ E @ F) @ C)) | (sk2 @ C))),inference(simp,[status(thm)],[172])).
% 141.02/41.00  thf(1474,plain,((~ (prop_a @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_a @ B)))))))),inference(pre_uni,[status(thm)],[1470:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_a @ C))))))]])).
% 141.02/41.00  thf(1699,plain,((~ (prop_b @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_b @ B)))))))),inference(pre_uni,[status(thm)],[1689:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_b @ C))))))]])).
% 141.02/41.00  thf(3627,plain,((relr @ (sk12 @ sk3 @ (sk2)) @ (sk11 @ (sk12 @ sk3 @ (sk2)) @ (sk2))) | (sk7 != sk4)),inference(pre_uni,[status(thm)],[3621:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk3 @ (sk2)))]])).
% 141.02/41.00  thf(62141,plain,(~ (($true)) | (~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,20294])).
% 141.02/41.00  thf(62142,plain,((~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[62141])).
% 141.02/41.00  thf(62448,plain,((~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[62142])).
% 141.02/41.00  thf(62751,plain,((~ (reli @ sk5 @ sk7)) | (~ (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk9 != sk4)),inference(simp,[status(thm)],[62448])).
% 141.02/41.00  thf(1404,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk3 @ sk4)))),inference(paramod_ordered,[status(thm)],[11,596])).
% 141.02/41.00  thf(1405,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk3 @ sk4)))),inference(simp,[status(thm)],[1404])).
% 141.02/41.00  thf(1431,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk3) | (A != sk4))),inference(simp,[status(thm)],[1405])).
% 141.02/41.00  thf(1445,plain,((sk2 @ sk4) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk3)),inference(simp,[status(thm)],[1431])).
% 141.02/41.00  thf(3548,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (~ (reli @ sk4 @ sk9)) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,3354])).
% 141.02/41.00  thf(3549,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (~ (reli @ sk4 @ sk9)) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[3548])).
% 141.02/41.00  thf(3560,plain,((relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (~ (reli @ sk4 @ sk9))),inference(pre_uni,[status(thm)],[3549:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(16208,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (relr @ sk3 @ (sk11 @ sk3 @ (^ [C:$i]: (sk2 @ (sk12 @ C @ sk2))))) | ~ (($true)) | ((A @ B) != (reli @ sk4 @ sk9)))),inference(paramod_ordered,[status(thm)],[24,3560])).
% 141.02/41.00  thf(16209,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (relr @ sk3 @ (sk11 @ sk3 @ (^ [C:$i]: (sk2 @ (sk12 @ C @ sk2))))) | ((A @ B) != (reli @ sk4 @ sk9)))),inference(simp,[status(thm)],[16208])).
% 141.02/41.00  thf(16359,plain,((reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk4))) | (relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[16209:[bind(A, $thf(reli @ sk4)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(1063,plain,(! [A:($i > $o)] : (~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ sk6) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[947,935])).
% 141.02/41.00  thf(1064,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ sk6) != (A @ sk6)))),inference(simp,[status(thm)],[1063])).
% 141.02/41.00  thf(1113,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ A))))),inference(pre_uni,[status(thm)],[1064:[bind(A, $thf(princ_inj @ sk1))]])).
% 141.02/41.00  thf(69708,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,69565])).
% 141.02/41.00  thf(69709,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[69708])).
% 141.02/41.00  thf(69802,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | (sk7 != sk3) | (sk4 != sk4)),inference(simp,[status(thm)],[69709])).
% 141.02/41.00  thf(69836,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | (sk7 != sk3)),inference(simp,[status(thm)],[69802])).
% 141.02/41.00  thf(224,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | ~ (($true)) | (sk2 @ D) | ((reli @ sk6 @ sk7) != (reli @ C @ D)))),inference(paramod_ordered,[status(thm)],[19,20])).
% 141.02/41.00  thf(225,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (sk2 @ D) | ((reli @ sk6 @ sk7) != (reli @ C @ D)))),inference(simp,[status(thm)],[224])).
% 141.02/41.00  thf(226,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk6)) | (reli @ sk6 @ (sk8 @ sk6 @ B @ A)) | (sk2 @ sk7))),inference(pattern_uni,[status(thm)],[225:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk6)),bind(D, $thf(sk7))]])).
% 141.02/41.00  thf(262,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | ~ (($true)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((princ_inj @ sk1 @ (sk8 @ B @ A @ sk6)) != (princ_inj @ sk1 @ sk7)))),inference(paramod_ordered,[status(thm)],[158,87])).
% 141.02/41.00  thf(263,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((princ_inj @ sk1 @ (sk8 @ B @ A @ sk6)) != (princ_inj @ sk1 @ sk7)))),inference(simp,[status(thm)],[262])).
% 141.02/41.00  thf(265,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | (sk1 != sk1) | ((sk8 @ B @ A @ sk6) != sk7))),inference(simp,[status(thm)],[263])).
% 141.02/41.00  thf(267,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((sk8 @ B @ A @ sk6) != sk7))),inference(simp,[status(thm)],[265])).
% 141.02/41.00  thf(5693,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk4 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[5654:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(199,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | ~ (($true)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[12,20])).
% 141.02/41.00  thf(200,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ B @ C)))),inference(simp,[status(thm)],[199])).
% 141.02/41.00  thf(201,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk7)) | (reli @ sk9 @ (sk8 @ sk9 @ sk7 @ A)) | (~ (reli @ sk9 @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[200:[bind(A, $thf(A)),bind(B, $thf(sk7)),bind(C, $thf(sk9))]])).
% 141.02/41.00  thf(241,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk7)) | (reli @ sk9 @ (sk8 @ sk9 @ sk7 @ A)) | (~ (reli @ sk9 @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[201])).
% 141.02/41.00  thf(865,plain,(! [A:($i > $i)] : ((prop_a @ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (prop_a @ (A @ B))))))),inference(prim_subst,[status(thm)],[506:[bind(A, $thf(^ [C:$i]: (prop_a @ (B @ C))))]])).
% 141.02/41.00  thf(927,plain,(! [A:($i > $i)] : ((prop_a @ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (prop_a @ (A @ B))))))),inference(simp,[status(thm)],[865])).
% 141.02/41.00  thf(1455,plain,(! [A:($i > $i)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (prop_a @ (A @ B))))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_a @ B)))) | ((prop_a @ (A @ sk6)) != (prop_a @ sk6)))),inference(paramod_ordered,[status(thm)],[927,1082])).
% 141.02/41.00  thf(1456,plain,(! [A:($i > $i)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (prop_a @ (A @ B))))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (prop_a @ B)))) | ((prop_a @ (A @ sk6)) != (prop_a @ sk6)))),inference(simp,[status(thm)],[1455])).
% 141.02/41.00  thf(1477,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_a))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_a @ A))))),inference(pre_uni,[status(thm)],[1456:[bind(A, $thf(^ [B:$i]: (B)))]])).
% 141.02/41.00  thf(4255,plain,((reli @ sk5 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk9 != sk7)),inference(pre_uni,[status(thm)],[4232:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(10726,plain,(! [A:$i] : ((sk9 != sk7) | ~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk5 @ (sk10 @ sk5 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[4255,17])).
% 141.02/41.00  thf(10727,plain,(! [A:$i] : ((sk9 != sk7) | (princ_inj @ sk1 @ A) | ((reli @ sk5 @ (sk10 @ sk5 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[10726])).
% 141.02/41.00  thf(10788,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk9 != sk7) | (sk6 != sk5) | ((sk10 @ sk5 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2)))) != A))),inference(simp,[status(thm)],[10727])).
% 141.02/41.00  thf(10803,plain,((princ_inj @ sk1 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk9 != sk7) | (sk6 != sk5)),inference(simp,[status(thm)],[10788])).
% 141.02/41.00  thf(66468,plain,(~ (($true)) | (sk6 != sk5) | (sk9 != sk4) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (($false))))))),inference(paramod_ordered,[status(thm)],[734,63325])).
% 141.02/41.00  thf(66469,plain,((sk6 != sk5) | (sk9 != sk4) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (($false))))))),inference(simp,[status(thm)],[66468])).
% 141.02/41.00  thf(66665,plain,((sk6 != sk5) | (sk9 != sk4) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != (sk10 @ sk6 @ (^ [A:$i]: (($false)))))),inference(simp,[status(thm)],[66469])).
% 141.02/41.00  thf(66766,plain,((sk6 != sk5) | (sk9 != sk4) | ((sk8 @ sk7 @ sk5 @ sk4) != (sk10 @ sk6 @ (^ [A:$i]: (($false)))))),inference(simp,[status(thm)],[66665])).
% 141.02/41.00  thf(4481,plain,((relr @ sk6 @ (sk11 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[4468:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(110387,plain,(! [A:($i > $o)] : ((reli @ sk5 @ sk5) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[109941,935])).
% 141.02/41.00  thf(110388,plain,(! [A:($i > $o)] : ((reli @ sk5 @ sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ loca @ sk6) != (A @ sk6)))),inference(simp,[status(thm)],[110387])).
% 141.02/41.00  thf(110436,plain,((reli @ sk5 @ sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ sk6))))),inference(pre_uni,[status(thm)],[110388:[bind(A, $thf(^ [B:$i]: (princ_inj @ loca @ sk6)))]])).
% 141.02/41.00  thf(5678,plain,((relr @ (sk12 @ sk3 @ (sk2)) @ (sk11 @ (sk12 @ sk3 @ (sk2)) @ (sk2))) | ((sk10 @ sk4 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[5670:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk3 @ (sk2)))]])).
% 141.02/41.00  thf(1457,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_a @ C)))) | ((A @ B) != (prop_a @ sk6)))),inference(paramod_ordered,[status(thm)],[24,1082])).
% 141.02/41.00  thf(1458,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_a @ C)))) | ((A @ B) != (prop_a @ sk6)))),inference(simp,[status(thm)],[1457])).
% 141.02/41.00  thf(1472,plain,((reli @ sk6 @ (sk10 @ sk6 @ (prop_a))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_a @ A))))),inference(pre_uni,[status(thm)],[1458:[bind(A, $thf(prop_a)),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(16316,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (relr @ sk3 @ (sk11 @ sk3 @ (^ [C:$i]: (sk2 @ (sk12 @ C @ sk2))))) | ~ (($true)) | ((A @ B) != (reli @ sk4 @ sk9)))),inference(paramod_ordered,[status(thm)],[30,3560])).
% 141.02/41.00  thf(16317,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (relr @ sk3 @ (sk11 @ sk3 @ (^ [C:$i]: (sk2 @ (sk12 @ C @ sk2))))) | ((A @ B) != (reli @ sk4 @ sk9)))),inference(simp,[status(thm)],[16316])).
% 141.02/41.00  thf(16362,plain,((relr @ sk4 @ (sk11 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9)))) | (relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[16317:[bind(A, $thf(^ [C:$i]: (reli @ C @ sk9))),bind(B, $thf(sk4))]])).
% 141.02/41.00  thf(4292,plain,((relr @ (sk12 @ sk5 @ (sk2)) @ (sk11 @ (sk12 @ sk5 @ (sk2)) @ (sk2))) | (sk7 != sk6)),inference(pre_uni,[status(thm)],[4282:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk5 @ (sk2)))]])).
% 141.02/41.00  thf(1509,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (prop_c @ sk6)))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_c @ A))))),inference(pre_uni,[status(thm)],[1499:[bind(A, $thf(^ [B:$i]: (prop_c @ sk6)))]])).
% 141.02/41.00  thf(82838,plain,((sk7 != sk6) | ~ (($true)) | (sk7 != sk6) | (sk7 != sk4) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk9))),inference(paramod_ordered,[status(thm)],[163,80593])).
% 141.02/41.00  thf(82839,plain,((sk7 != sk6) | (sk7 != sk4) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk9))),inference(simp,[status(thm)],[82838])).
% 141.02/41.00  thf(82861,plain,((sk7 != sk6) | (sk7 != sk4) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9)),inference(simp,[status(thm)],[82839])).
% 141.02/41.00  thf(82975,plain,((sk7 != sk6) | (sk7 != sk4) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9)),inference(simp,[status(thm)],[82861])).
% 141.02/41.00  thf(276,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk7 != sk6) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | ~ (($true)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((princ_inj @ sk1 @ (sk8 @ C @ B @ A)) != (princ_inj @ sk1 @ sk9)))),inference(paramod_ordered,[status(thm)],[163,21])).
% 141.02/41.00  thf(277,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk7 != sk6) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((princ_inj @ sk1 @ (sk8 @ C @ B @ A)) != (princ_inj @ sk1 @ sk9)))),inference(simp,[status(thm)],[276])).
% 141.02/41.00  thf(280,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (sk7 != sk6) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk1 != sk1) | ((sk8 @ C @ B @ A) != sk9))),inference(simp,[status(thm)],[277])).
% 141.02/41.00  thf(282,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (sk7 != sk6) | (~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | ((sk8 @ C @ B @ A) != sk9))),inference(simp,[status(thm)],[280])).
% 141.02/41.00  thf(1584,plain,(! [A:$i] : ((~ (prop_c @ (sk11 @ A @ (prop_c)))) | (prop_c @ A))),inference(prim_subst,[status(thm)],[31:[bind(A, $thf(prop_c))]])).
% 141.02/41.00  thf(1647,plain,(! [A:$i] : ((~ (prop_c @ (sk11 @ A @ (prop_c)))) | (prop_c @ A))),inference(simp,[status(thm)],[1584])).
% 141.02/41.00  thf(5522,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[4474,17])).
% 141.02/41.00  thf(5523,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[5522])).
% 141.02/41.00  thf(5582,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((sk12 @ sk6 @ (sk2)) != sk6) | ((sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2)) != A))),inference(simp,[status(thm)],[5523])).
% 141.02/41.00  thf(5592,plain,((princ_inj @ sk1 @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) | ((sk12 @ sk6 @ (sk2)) != sk6)),inference(simp,[status(thm)],[5582])).
% 141.02/41.00  thf(202,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | ~ (($true)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ C @ D)))),inference(paramod_ordered,[status(thm)],[12,20])).
% 141.02/41.00  thf(203,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (sk2 @ D) | ((reli @ sk7 @ sk9) != (reli @ C @ D)))),inference(simp,[status(thm)],[202])).
% 141.02/41.00  thf(204,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk7)) | (reli @ sk7 @ (sk8 @ sk7 @ B @ A)) | (sk2 @ sk9))),inference(pattern_uni,[status(thm)],[203:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk7)),bind(D, $thf(sk9))]])).
% 141.02/41.00  thf(59562,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk7)) | (reli @ sk7 @ (sk8 @ sk7 @ B @ A)) | ($false))),inference(rewrite,[status(thm)],[204,18])).
% 141.02/41.00  thf(59563,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk7)) | (reli @ sk7 @ (sk8 @ sk7 @ B @ A)))),inference(simp,[status(thm)],[59562])).
% 141.02/41.00  thf(93540,plain,(! [C:$i,B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (princ_inj @ loca @ sk6) | ((A @ B) != (reli @ C @ sk5)))),inference(paramod_ordered,[status(thm)],[30,92734])).
% 141.02/41.00  thf(93541,plain,(! [C:$i,B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (princ_inj @ loca @ sk6) | ((A @ B) != (reli @ C @ sk5)))),inference(simp,[status(thm)],[93540])).
% 141.02/41.00  thf(93609,plain,(! [A:($i > $i)] : ((relr @ sk5 @ (sk11 @ sk5 @ (^ [B:$i]: (reli @ (A @ B) @ B)))) | (princ_inj @ loca @ sk6))),inference(pre_uni,[status(thm)],[93541:[bind(A, $thf(^ [E:$i]: (reli @ (D @ E) @ E))),bind(B, $thf(sk5)),bind(C, $thf(D @ sk5))]])).
% 141.02/41.00  thf(93715,plain,(! [A:($i > $i)] : ((relr @ sk5 @ (sk11 @ sk5 @ (^ [B:$i]: (reli @ (A @ B) @ B)))) | (princ_inj @ loca @ sk6))),inference(simp,[status(thm)],[93609])).
% 141.02/41.00  thf(74248,plain,(~ (($true)) | (sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk9) != (reli @ sk5 @ sk7))),inference(paramod_ordered,[status(thm)],[12,74044])).
% 141.02/41.00  thf(74249,plain,((sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk9) != (reli @ sk5 @ sk7))),inference(simp,[status(thm)],[74248])).
% 141.02/41.00  thf(74353,plain,((sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk5) | (sk9 != sk7)),inference(simp,[status(thm)],[74249])).
% 141.02/41.00  thf(48,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((reli @ B @ (sk14 @ B @ (A))) | (~ (relr @ B @ C)) | (~ (reli @ C @ D)) | (A @ D))),inference(cnfConj,[status(thm)],[47])).
% 141.02/41.00  thf(780,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | ((reli @ sk7 @ sk9) != (reli @ sk4 @ A)))),inference(paramod_ordered,[status(thm)],[12,372])).
% 141.02/41.00  thf(781,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | ((reli @ sk7 @ sk9) != (reli @ sk4 @ A)))),inference(simp,[status(thm)],[780])).
% 141.02/41.00  thf(798,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk7 != sk4) | (sk9 != A))),inference(simp,[status(thm)],[781])).
% 141.02/41.00  thf(808,plain,((sk2 @ sk9) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk7 != sk4)),inference(simp,[status(thm)],[798])).
% 141.02/41.00  thf(1002,plain,(($false) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk7 != sk4)),inference(rewrite,[status(thm)],[808,18])).
% 141.02/41.00  thf(1003,plain,((sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk7 != sk4)),inference(simp,[status(thm)],[1002])).
% 141.02/41.00  thf(66504,plain,((sk6 != sk3) | ~ (($true)) | (sk6 != sk5) | (sk9 != sk4) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk4))),inference(paramod_ordered,[status(thm)],[166,63325])).
% 141.02/41.00  thf(66505,plain,((sk6 != sk3) | (sk6 != sk5) | (sk9 != sk4) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk4))),inference(simp,[status(thm)],[66504])).
% 141.02/41.00  thf(66642,plain,((sk6 != sk3) | (sk6 != sk5) | (sk9 != sk4) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk4)),inference(simp,[status(thm)],[66505])).
% 141.02/41.00  thf(66749,plain,((sk6 != sk3) | (sk6 != sk5) | (sk9 != sk4) | ((sk8 @ sk7 @ sk5 @ sk4) != sk4)),inference(simp,[status(thm)],[66642])).
% 141.02/41.00  thf(4540,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) != (reli @ sk4 @ sk9))),inference(paramod_ordered,[status(thm)],[4476,3354])).
% 141.02/41.00  thf(4541,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((reli @ sk6 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) != (reli @ sk4 @ sk9))),inference(simp,[status(thm)],[4540])).
% 141.02/41.00  thf(4593,plain,((~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | (sk6 != sk4) | ((sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))) != sk9)),inference(simp,[status(thm)],[4541])).
% 141.02/41.00  thf(871,plain,((prop_a @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_a)))),inference(prim_subst,[status(thm)],[506:[bind(A, $thf(prop_a))]])).
% 141.02/41.00  thf(1073,plain,(! [A:($i > $o)] : ((prop_a @ sk6) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_a))) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[871,935])).
% 141.02/41.00  thf(1074,plain,(! [A:($i > $o)] : ((prop_a @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_a))) != (A @ sk6)))),inference(simp,[status(thm)],[1073])).
% 141.02/41.00  thf(1098,plain,((prop_a @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ A @ prop_a)))))),inference(pre_uni,[status(thm)],[1074:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ B @ prop_a))))]])).
% 141.02/41.00  thf(25571,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ~ (($true)) | ((reli @ (sk12 @ sk7 @ (sk2)) @ (sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2))) != (reli @ A @ sk7)))),inference(paramod_ordered,[status(thm)],[24436,3399])).
% 141.02/41.00  thf(25572,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ((reli @ (sk12 @ sk7 @ (sk2)) @ (sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2))) != (reli @ A @ sk7)))),inference(simp,[status(thm)],[25571])).
% 141.02/41.00  thf(25734,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ((sk12 @ sk7 @ (sk2)) != A) | ((sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2)) != sk7))),inference(simp,[status(thm)],[25572])).
% 141.02/41.00  thf(25758,plain,((~ (sk2 @ (sk12 @ (sk12 @ sk7 @ (sk2)) @ (sk2)))) | ((sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2)) != sk7)),inference(simp,[status(thm)],[25734])).
% 141.02/41.00  thf(80359,plain,((sk7 != sk6) | (~ (reli @ sk7 @ sk4)) | ~ (($true)) | (sk7 != sk6) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk9))),inference(paramod_ordered,[status(thm)],[163,62729])).
% 141.02/41.00  thf(80360,plain,((sk7 != sk6) | (~ (reli @ sk7 @ sk4)) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk9))),inference(simp,[status(thm)],[80359])).
% 141.02/41.00  thf(80480,plain,((sk7 != sk6) | (~ (reli @ sk7 @ sk4)) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9)),inference(simp,[status(thm)],[80360])).
% 141.02/41.00  thf(80626,plain,((sk7 != sk6) | (~ (reli @ sk7 @ sk4)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9)),inference(simp,[status(thm)],[80480])).
% 141.02/41.00  thf(1693,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_b))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_b @ A))))),inference(pre_uni,[status(thm)],[1687:[bind(A, $thf(prop_b))]])).
% 141.02/41.00  thf(21627,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_b))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_b @ A)))) != (princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_b)))) | ~ (($true))),inference(eqfactor_ordered,[status(thm)],[1693])).
% 141.02/41.00  thf(21629,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_b))) | (sk1 != sk1) | ((sk10 @ sk6 @ (^ [A:$i]: ~ (prop_b @ A))) != (sk10 @ sk6 @ (prop_b)))),inference(simp,[status(thm)],[21627])).
% 141.02/41.00  thf(21650,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_b))) | ((sk10 @ sk6 @ (^ [A:$i]: ~ (prop_b @ A))) != (sk10 @ sk6 @ (prop_b)))),inference(simp,[status(thm)],[21629])).
% 141.02/41.00  thf(93528,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ (sk12 @ sk7 @ (sk2)) @ (sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2))) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[24436,92734])).
% 141.02/41.00  thf(93529,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ (sk12 @ sk7 @ (sk2)) @ (sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2))) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93528])).
% 141.02/41.00  thf(93631,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((sk12 @ sk7 @ (sk2)) != A) | ((sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2)) != sk5))),inference(simp,[status(thm)],[93529])).
% 141.02/41.00  thf(93730,plain,((princ_inj @ loca @ sk6) | ((sk10 @ (sk12 @ sk7 @ (sk2)) @ (sk2)) != sk5)),inference(simp,[status(thm)],[93631])).
% 141.02/41.00  thf(3556,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ~ (($true)) | ((A @ sk6) != (reli @ sk4 @ sk9)))),inference(paramod_ordered,[status(thm)],[506,3354])).
% 141.02/41.00  thf(3557,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2)))) | ((A @ sk6) != (reli @ sk4 @ sk9)))),inference(simp,[status(thm)],[3556])).
% 141.02/41.00  thf(3564,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (reli @ sk4 @ sk9)))) | (~ (sk2 @ (sk12 @ sk3 @ (sk2))))),inference(pre_uni,[status(thm)],[3557:[bind(A, $thf(^ [B:$i]: (reli @ sk4 @ sk9)))]])).
% 141.02/41.00  thf(5618,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (sk6 != sk4) | (sk9 != sk7) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,3586])).
% 141.02/41.00  thf(5619,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (sk6 != sk4) | (sk9 != sk7) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5618])).
% 141.02/41.00  thf(5628,plain,((relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk6 != sk4) | (sk9 != sk7)),inference(pre_uni,[status(thm)],[5619:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(4145,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ~ (($true)) | ((reli @ sk6 @ sk9) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,3391])).
% 141.02/41.00  thf(4146,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | ((reli @ sk6 @ sk9) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[4145])).
% 141.02/41.00  thf(4206,plain,((~ (sk2 @ (sk12 @ sk5 @ (sk2)))) | (sk6 != sk5) | (sk9 != sk6)),inference(simp,[status(thm)],[4146])).
% 141.02/41.00  thf(6791,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (sk6 != sk5) | (sk9 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,4206])).
% 141.02/41.00  thf(6792,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (sk6 != sk5) | (sk9 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[6791])).
% 141.02/41.00  thf(6803,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk6 != sk5) | (sk9 != sk6)),inference(pre_uni,[status(thm)],[6792:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(83143,plain,((sk7 != sk6) | ~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(paramod_ordered,[status(thm)],[12,80626])).
% 141.02/41.00  thf(83144,plain,((sk7 != sk6) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9) | ((reli @ sk7 @ sk9) != (reli @ sk7 @ sk4))),inference(simp,[status(thm)],[83143])).
% 141.02/41.00  thf(83287,plain,((sk7 != sk6) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9) | (sk7 != sk7) | (sk9 != sk4)),inference(simp,[status(thm)],[83144])).
% 141.02/41.00  thf(83332,plain,((sk7 != sk6) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9) | (sk9 != sk4)),inference(simp,[status(thm)],[83287])).
% 141.02/41.00  thf(11036,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk6 @ (^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,4605])).
% 141.02/41.00  thf(11037,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((sk10 @ sk6 @ (^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[11036])).
% 141.02/41.00  thf(11054,plain,((relr @ sk5 @ (sk11 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))) != sk9)),inference(pre_uni,[status(thm)],[11037:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(126,plain,(! [D:$i,C:$i,B:$i,A:$i] : (~ (($true)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk6 @ sk7)))),inference(paramod_ordered,[status(thm)],[19,21])).
% 141.02/41.00  thf(127,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk6 @ sk7)))),inference(simp,[status(thm)],[126])).
% 141.02/41.00  thf(140,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((sk2 @ D) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (~ (reli @ C @ D)) | (sk7 != sk6) | (A != sk7))),inference(simp,[status(thm)],[127])).
% 141.02/41.00  thf(143,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk7 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk7))) | (~ (reli @ B @ C)) | (sk7 != sk6))),inference(simp,[status(thm)],[140])).
% 141.02/41.00  thf(219,plain,(! [D:$i,C:$i,B:$i,A:$i] : (~ (($true)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk6 @ sk7)))),inference(paramod_ordered,[status(thm)],[19,20])).
% 141.02/41.00  thf(220,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk7 @ A) != (reli @ sk6 @ sk7)))),inference(simp,[status(thm)],[219])).
% 141.02/41.00  thf(235,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((reli @ C @ (sk8 @ C @ B @ A)) | (sk2 @ D) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk7 != sk6) | (A != sk7))),inference(simp,[status(thm)],[220])).
% 141.02/41.00  thf(250,plain,(! [C:$i,B:$i,A:$i] : ((reli @ B @ (sk8 @ B @ A @ sk7)) | (sk2 @ C) | (~ (relr @ sk7 @ A)) | (~ (reli @ A @ B)) | (~ (reli @ B @ C)) | (sk7 != sk6))),inference(simp,[status(thm)],[235])).
% 141.02/41.00  thf(6721,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (sk6 != sk3) | (sk9 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,4178])).
% 141.02/41.00  thf(6722,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (sk6 != sk3) | (sk9 != sk4) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[6721])).
% 141.02/41.00  thf(6758,plain,((reli @ sk5 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk6 != sk3) | (sk9 != sk4)),inference(pre_uni,[status(thm)],[6722:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(97,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | ~ (($true)) | (sk7 != sk5) | ((reli @ sk5 @ sk6) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[13,87])).
% 141.02/41.00  thf(98,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (sk7 != sk5) | ((reli @ sk5 @ sk6) != (reli @ B @ C)))),inference(simp,[status(thm)],[97])).
% 141.02/41.00  thf(99,plain,(! [A:$i] : ((sk2 @ sk6) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ sk5)) | (~ (princ_inj @ sk1 @ (sk8 @ sk5 @ A @ sk6))) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[98:[bind(A, $thf(A)),bind(B, $thf(sk5)),bind(C, $thf(sk6))]])).
% 141.02/41.00  thf(1035,plain,(! [A:($i > $o)] : (~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((reli @ sk6 @ sk7) != (A @ sk6)))),inference(paramod_ordered,[status(thm)],[19,935])).
% 141.02/41.00  thf(1036,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: ~ (A @ B)))) | ((reli @ sk6 @ sk7) != (A @ sk6)))),inference(simp,[status(thm)],[1035])).
% 141.02/41.00  thf(1108,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (reli @ A @ sk7))))),inference(pre_uni,[status(thm)],[1036:[bind(A, $thf(^ [B:$i]: (reli @ B @ sk7)))]])).
% 141.02/41.00  thf(17066,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk4 @ (^ [C:$i]: (reli @ C @ sk9))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[30,17027])).
% 141.02/41.00  thf(17067,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ((sk10 @ sk4 @ (^ [C:$i]: (reli @ C @ sk9))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[17066])).
% 141.02/41.00  thf(17088,plain,((relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(pre_uni,[status(thm)],[17067:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(8060,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_a))) | ((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_a @ A)))) != (princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_a)))) | ~ (($true))),inference(eqfactor_ordered,[status(thm)],[1477])).
% 141.02/41.00  thf(8070,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_a))) | (sk1 != sk1) | ((sk10 @ sk6 @ (^ [A:$i]: ~ (prop_a @ A))) != (sk10 @ sk6 @ (prop_a)))),inference(simp,[status(thm)],[8060])).
% 141.02/41.00  thf(8075,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (prop_a))) | ((sk10 @ sk6 @ (^ [A:$i]: ~ (prop_a @ A))) != (sk10 @ sk6 @ (prop_a)))),inference(simp,[status(thm)],[8070])).
% 141.02/41.00  thf(69638,plain,(! [A:$i] : (~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk7 @ sk4)))),inference(paramod_ordered,[status(thm)],[507,69565])).
% 141.02/41.00  thf(69639,plain,(! [A:$i] : (((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ A @ (sk10 @ A @ (^ [B:$i]: (($false))))) != (reli @ sk7 @ sk4)))),inference(simp,[status(thm)],[69638])).
% 141.02/41.00  thf(69742,plain,(! [A:$i] : (((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | (A != sk7) | ((sk10 @ A @ (^ [B:$i]: (($false)))) != sk4))),inference(simp,[status(thm)],[69639])).
% 141.02/41.00  thf(69842,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((sk10 @ sk7 @ (^ [A:$i]: (($false)))) != sk4)),inference(simp,[status(thm)],[69742])).
% 141.02/41.00  thf(93421,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk7 @ (sk10 @ sk7 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[24438,92734])).
% 141.02/41.00  thf(93422,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ sk7 @ (sk10 @ sk7 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93421])).
% 141.02/41.00  thf(93597,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | (sk7 != A) | ((sk10 @ sk7 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2)))) != sk5))),inference(simp,[status(thm)],[93422])).
% 141.02/41.00  thf(93706,plain,((princ_inj @ loca @ sk6) | ((sk10 @ sk7 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))) != sk5)),inference(simp,[status(thm)],[93597])).
% 141.02/41.00  thf(28496,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk9 @ (sk10 @ sk9 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[28383,17])).
% 141.02/41.00  thf(28497,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | ((reli @ sk9 @ (sk10 @ sk9 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[28496])).
% 141.02/41.00  thf(28582,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk9 != sk6) | ((sk10 @ sk9 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2)))) != A))),inference(simp,[status(thm)],[28497])).
% 141.02/41.00  thf(28609,plain,((princ_inj @ sk1 @ (sk10 @ sk9 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk9 != sk6)),inference(simp,[status(thm)],[28582])).
% 141.02/41.00  thf(1476,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (prop_a @ sk6)))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_a @ A))))),inference(pre_uni,[status(thm)],[1456:[bind(A, $thf(^ [B:$i]: (sk6)))]])).
% 141.02/41.00  thf(110437,plain,((reli @ sk5 @ sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ A))))),inference(pre_uni,[status(thm)],[110388:[bind(A, $thf(princ_inj @ loca))]])).
% 141.02/41.00  thf(4250,plain,((relr @ (sk12 @ sk5 @ (sk2)) @ (sk11 @ (sk12 @ sk5 @ (sk2)) @ (sk2))) | (sk9 != sk7)),inference(pre_uni,[status(thm)],[4244:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk5 @ (sk2)))]])).
% 141.02/41.00  thf(74636,plain,((sk7 != sk6) | ~ (($true)) | (sk7 != sk3) | (sk7 != sk6) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk9))),inference(paramod_ordered,[status(thm)],[163,74058])).
% 141.02/41.00  thf(74637,plain,((sk7 != sk6) | (sk7 != sk3) | ((princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4)) != (princ_inj @ sk1 @ sk9))),inference(simp,[status(thm)],[74636])).
% 141.02/41.00  thf(74733,plain,((sk7 != sk6) | (sk7 != sk3) | (sk1 != sk1) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9)),inference(simp,[status(thm)],[74637])).
% 141.02/41.00  thf(74832,plain,((sk7 != sk6) | (sk7 != sk3) | ((sk8 @ sk7 @ sk5 @ sk4) != sk9)),inference(simp,[status(thm)],[74733])).
% 141.02/41.00  thf(3630,plain,((reli @ (sk12 @ sk3 @ (sk2)) @ (sk10 @ (sk12 @ sk3 @ (sk2)) @ (sk2))) | (sk7 != sk4)),inference(pre_uni,[status(thm)],[3615:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk3 @ (sk2)))]])).
% 141.02/41.00  thf(94,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | ~ (($true)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((reli @ sk5 @ sk6) != (reli @ A @ B)))),inference(paramod_ordered,[status(thm)],[13,87])).
% 141.02/41.00  thf(95,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (~ (reli @ B @ C)) | (sk7 != sk5) | ((reli @ sk5 @ sk6) != (reli @ A @ B)))),inference(simp,[status(thm)],[94])).
% 141.02/41.00  thf(96,plain,(! [A:$i] : ((sk2 @ A) | (~ (relr @ sk6 @ sk5)) | (~ (princ_inj @ sk1 @ (sk8 @ sk6 @ sk5 @ sk6))) | (~ (reli @ sk6 @ A)) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[95:[bind(A, $thf(sk5)),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(114,plain,(! [A:$i] : ((sk2 @ A) | (~ (relr @ sk6 @ sk5)) | (~ (princ_inj @ sk1 @ (sk8 @ sk6 @ sk5 @ sk6))) | (~ (reli @ sk6 @ A)) | (sk7 != sk5))),inference(simp,[status(thm)],[96])).
% 141.02/41.00  thf(137,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | ~ (($true)) | (sk7 != sk5) | ((reli @ sk6 @ sk7) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[19,87])).
% 141.02/41.00  thf(138,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (sk7 != sk5) | ((reli @ sk6 @ sk7) != (reli @ B @ C)))),inference(simp,[status(thm)],[137])).
% 141.02/41.00  thf(139,plain,(! [A:$i] : ((sk2 @ sk7) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ sk6)) | (~ (princ_inj @ sk1 @ (sk8 @ sk6 @ A @ sk6))) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[138:[bind(A, $thf(A)),bind(B, $thf(sk6)),bind(C, $thf(sk7))]])).
% 141.02/41.00  thf(4182,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9)))) | (~ (sk2 @ (sk12 @ sk5 @ (sk2))))),inference(pre_uni,[status(thm)],[4171:[bind(A, $thf(^ [B:$i]: (reli @ B @ sk9)))]])).
% 141.02/41.00  thf(227,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | ~ (($true)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((relr @ sk4 @ sk5) != (relr @ A @ B)))),inference(paramod_ordered,[status(thm)],[15,20])).
% 141.02/41.00  thf(228,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((relr @ sk4 @ sk5) != (relr @ A @ B)))),inference(simp,[status(thm)],[227])).
% 141.02/41.00  thf(229,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ A)) | (reli @ A @ (sk8 @ A @ sk5 @ sk4)) | (~ (reli @ A @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[228:[bind(A, $thf(sk4)),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(246,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ sk4)) | (~ (reli @ sk5 @ A)) | (reli @ A @ (sk8 @ A @ sk5 @ sk4)) | (~ (reli @ A @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[229])).
% 141.02/41.00  thf(1419,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk7 @ sk9)))),inference(paramod_ordered,[status(thm)],[12,596])).
% 141.02/41.00  thf(1420,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((reli @ (sk10 @ sk9 @ (sk2)) @ A) != (reli @ sk7 @ sk9)))),inference(simp,[status(thm)],[1419])).
% 141.02/41.00  thf(1438,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk7) | (A != sk9))),inference(simp,[status(thm)],[1420])).
% 141.02/41.00  thf(1452,plain,((sk2 @ sk9) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk7)),inference(simp,[status(thm)],[1438])).
% 141.02/41.00  thf(1776,plain,(($false) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk7)),inference(rewrite,[status(thm)],[1452,18])).
% 141.02/41.00  thf(1777,plain,((sk6 != sk5) | (sk7 != sk5) | ((sk8 @ (sk10 @ sk9 @ (sk2)) @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk9 != sk5) | ((sk10 @ sk9 @ (sk2)) != sk7)),inference(simp,[status(thm)],[1776])).
% 141.02/41.00  thf(868,plain,(! [A:($i > $i)] : ((prop_b @ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (prop_b @ (A @ B))))))),inference(prim_subst,[status(thm)],[506:[bind(A, $thf(^ [C:$i]: (prop_b @ (B @ C))))]])).
% 141.02/41.00  thf(929,plain,(! [A:($i > $i)] : ((prop_b @ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (prop_b @ (A @ B))))))),inference(simp,[status(thm)],[868])).
% 141.02/41.00  thf(4469,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | ((A @ sk6) != (sk2 @ (sk12 @ sk6 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,4455])).
% 141.02/41.00  thf(4470,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ((A @ sk6) != (sk2 @ (sk12 @ sk6 @ (sk2)))))),inference(simp,[status(thm)],[4469])).
% 141.02/41.00  thf(4478,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[4470:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))]])).
% 141.02/41.00  thf(1594,plain,(! [A:$i] : ((~ (prop_a @ (sk11 @ A @ (prop_a)))) | (prop_a @ A))),inference(prim_subst,[status(thm)],[31:[bind(A, $thf(prop_a))]])).
% 141.02/41.00  thf(1661,plain,(! [A:$i] : ((~ (prop_a @ (sk11 @ A @ (prop_a)))) | (prop_a @ A))),inference(simp,[status(thm)],[1594])).
% 141.02/41.00  thf(648,plain,(! [A:$i] : ((~ (prop_a @ (sk10 @ A @ (prop_a)))) | (prop_a @ A))),inference(prim_subst,[status(thm)],[25:[bind(A, $thf(prop_a))]])).
% 141.02/41.00  thf(684,plain,(! [A:$i] : ((~ (prop_a @ (sk10 @ A @ (prop_a)))) | (prop_a @ A))),inference(simp,[status(thm)],[648])).
% 141.02/41.00  thf(28393,plain,((relr @ (sk12 @ sk9 @ (sk2)) @ (sk11 @ (sk12 @ sk9 @ (sk2)) @ (sk2)))),inference(pre_uni,[status(thm)],[28365:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk9 @ (sk2)))]])).
% 141.02/41.00  thf(16608,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (relr @ sk9 @ (sk11 @ sk9 @ (reli @ sk4))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3578])).
% 141.02/41.00  thf(16609,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (relr @ sk9 @ (sk11 @ sk9 @ (reli @ sk4))) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[16608])).
% 141.02/41.00  thf(16717,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (relr @ sk9 @ (sk11 @ sk9 @ (reli @ sk4)))),inference(pre_uni,[status(thm)],[16609:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(1116,plain,((prop_c @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ sk6 @ prop_c)))))),inference(pre_uni,[status(thm)],[1060:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ sk6 @ prop_c))))]])).
% 141.02/41.00  thf(71907,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | ((reli @ sk5 @ sk7) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,69574])).
% 141.02/41.00  thf(71908,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | ((reli @ sk5 @ sk7) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[71907])).
% 141.02/41.00  thf(71997,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk3) | (sk5 != sk3) | (sk7 != sk4)),inference(simp,[status(thm)],[71908])).
% 141.02/41.00  thf(36541,plain,(~ (($true)) | (sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7) | ((relr @ sk6 @ sk6) != (relr @ sk4 @ sk5))),inference(paramod_ordered,[status(thm)],[15,36168])).
% 141.02/41.00  thf(36542,plain,((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7) | ((relr @ sk6 @ sk6) != (relr @ sk4 @ sk5))),inference(simp,[status(thm)],[36541])).
% 141.02/41.00  thf(36607,plain,((sk7 != sk5) | ((sk8 @ sk7 @ sk6 @ sk6) != sk7) | (sk6 != sk4) | (sk6 != sk5)),inference(simp,[status(thm)],[36542])).
% 141.02/41.00  thf(93433,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ sk9 @ (sk10 @ sk9 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[28383,92734])).
% 141.02/41.00  thf(93434,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ sk9 @ (sk10 @ sk9 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93433])).
% 141.02/41.00  thf(93632,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | (sk9 != A) | ((sk10 @ sk9 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2)))) != sk5))),inference(simp,[status(thm)],[93434])).
% 141.02/41.00  thf(93731,plain,((princ_inj @ loca @ sk6) | ((sk10 @ sk9 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))) != sk5)),inference(simp,[status(thm)],[93632])).
% 141.02/41.00  thf(1097,plain,((prop_a @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ sk6 @ prop_a)))))),inference(pre_uni,[status(thm)],[1074:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ sk6 @ prop_a))))]])).
% 141.02/41.00  thf(95805,plain,((sk6 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ A))))),inference(pre_uni,[status(thm)],[95775:[bind(A, $thf(princ_inj @ loca))]])).
% 141.02/41.00  thf(72121,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | ((reli @ sk7 @ sk9) != (reli @ sk5 @ sk7))),inference(paramod_ordered,[status(thm)],[12,69594])).
% 141.02/41.00  thf(72122,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | ((reli @ sk7 @ sk9) != (reli @ sk5 @ sk7))),inference(simp,[status(thm)],[72121])).
% 141.02/41.00  thf(72211,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk9 != sk4) | (sk7 != sk5) | (sk9 != sk7)),inference(simp,[status(thm)],[72122])).
% 141.02/41.00  thf(9388,plain,(! [A:$i] : ((sk7 != sk4) | ~ (($true)) | (princ_inj @ sk1 @ A) | ((reli @ sk3 @ (sk10 @ sk3 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(paramod_ordered,[status(thm)],[3632,17])).
% 141.02/41.00  thf(9389,plain,(! [A:$i] : ((sk7 != sk4) | (princ_inj @ sk1 @ A) | ((reli @ sk3 @ (sk10 @ sk3 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2))))) != (reli @ sk6 @ A)))),inference(simp,[status(thm)],[9388])).
% 141.02/41.00  thf(9449,plain,(! [A:$i] : ((princ_inj @ sk1 @ A) | (sk7 != sk4) | (sk6 != sk3) | ((sk10 @ sk3 @ (^ [B:$i]: (sk2 @ (sk12 @ B @ sk2)))) != A))),inference(simp,[status(thm)],[9389])).
% 141.02/41.00  thf(9463,plain,((princ_inj @ sk1 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk7 != sk4) | (sk6 != sk3)),inference(simp,[status(thm)],[9449])).
% 141.02/41.00  thf(63406,plain,(~ (($true)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk5 @ sk6))),inference(paramod_ordered,[status(thm)],[13,63273])).
% 141.02/41.00  thf(63407,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk5 @ sk6))),inference(simp,[status(thm)],[63406])).
% 141.02/41.00  thf(63523,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk5) | (sk6 != sk4)),inference(simp,[status(thm)],[63407])).
% 141.02/41.00  thf(36,plain,(! [D:$i,C:$i,B:$i,A:($i > $o)] : ((reli @ B @ (sk12 @ B @ (A))) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (A @ D))),inference(cnfConj,[status(thm)],[35])).
% 141.02/41.00  thf(69726,plain,(~ (($true)) | ((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk6 @ sk7))),inference(paramod_ordered,[status(thm)],[19,69565])).
% 141.02/41.00  thf(69727,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | ((reli @ sk7 @ sk4) != (reli @ sk6 @ sk7))),inference(simp,[status(thm)],[69726])).
% 141.02/41.00  thf(69776,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | (sk7 != sk6) | (sk7 != sk4)),inference(simp,[status(thm)],[69727])).
% 141.02/41.00  thf(69818,plain,(((sk8 @ sk7 @ sk5 @ sk4) != sk6) | (sk7 != sk6) | (sk7 != sk4)),inference(simp,[status(thm)],[69776])).
% 141.02/41.00  thf(35857,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (~ (relr @ sk6 @ sk6)) | ~ (($true)) | (sk7 != sk5) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ sk6))))),inference(paramod_ordered,[status(thm)],[17,35230])).
% 141.02/41.00  thf(35858,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (~ (relr @ sk6 @ sk6)) | (sk7 != sk5) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk6 @ sk6))))),inference(simp,[status(thm)],[35857])).
% 141.02/41.00  thf(35859,plain,((~ (reli @ sk6 @ (sk8 @ sk7 @ sk6 @ sk6))) | (~ (relr @ sk6 @ sk6)) | (sk7 != sk5)),inference(pattern_uni,[status(thm)],[35858:[bind(A, $thf(sk8 @ sk7 @ sk6 @ sk6))]])).
% 141.02/41.00  thf(866,plain,(! [A:($i > $i)] : ((prop_c @ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (prop_c @ (A @ B))))))),inference(prim_subst,[status(thm)],[506:[bind(A, $thf(^ [C:$i]: (prop_c @ (B @ C))))]])).
% 141.02/41.00  thf(928,plain,(! [A:($i > $i)] : ((prop_c @ (A @ sk6)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [B:$i]: (prop_c @ (A @ B))))))),inference(simp,[status(thm)],[866])).
% 141.02/41.00  thf(193,plain,(! [E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | ~ (($true)) | (princ_inj @ sk1 @ E) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ sk6 @ E)))),inference(paramod_ordered,[status(thm)],[20,17])).
% 141.02/41.00  thf(194,plain,(! [E:$i,D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (reli @ C @ D)) | (sk2 @ D) | (princ_inj @ sk1 @ E) | ((reli @ C @ (sk8 @ C @ B @ A)) != (reli @ sk6 @ E)))),inference(simp,[status(thm)],[193])).
% 141.02/41.00  thf(195,plain,(! [C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ C)) | (~ (relr @ C @ B)) | (~ (reli @ B @ sk6)) | (~ (reli @ sk6 @ A)) | (sk2 @ A) | (princ_inj @ sk1 @ (sk8 @ sk6 @ B @ C)))),inference(pattern_uni,[status(thm)],[194:[bind(A, $thf(H)),bind(B, $thf(G)),bind(C, $thf(sk6)),bind(D, $thf(D)),bind(E, $thf(sk8 @ sk6 @ G @ H))]])).
% 141.02/41.00  thf(239,plain,(! [C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ C)) | (~ (relr @ C @ B)) | (~ (reli @ B @ sk6)) | (~ (reli @ sk6 @ A)) | (sk2 @ A) | (princ_inj @ sk1 @ (sk8 @ sk6 @ B @ C)))),inference(simp,[status(thm)],[195])).
% 141.02/41.00  thf(207,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | ~ (($true)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk3 @ sk4) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[11,20])).
% 141.02/41.00  thf(208,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (reli @ C @ (sk8 @ C @ B @ A)) | (~ (reli @ C @ D)) | (sk2 @ D) | ((reli @ sk3 @ sk4) != (reli @ B @ C)))),inference(simp,[status(thm)],[207])).
% 141.02/41.00  thf(209,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk3)) | (reli @ sk4 @ (sk8 @ sk4 @ sk3 @ A)) | (~ (reli @ sk4 @ B)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[208:[bind(A, $thf(A)),bind(B, $thf(sk3)),bind(C, $thf(sk4))]])).
% 141.02/41.00  thf(242,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ sk3)) | (reli @ sk4 @ (sk8 @ sk4 @ sk3 @ A)) | (~ (reli @ sk4 @ B)) | (sk2 @ B))),inference(simp,[status(thm)],[209])).
% 141.02/41.00  thf(5382,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (sk5 != sk4) | (sk9 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3579])).
% 141.02/41.00  thf(5383,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (sk5 != sk4) | (sk9 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5382])).
% 141.02/41.00  thf(5404,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk5 != sk4) | (sk9 != sk6)),inference(pre_uni,[status(thm)],[5383:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(3558,plain,((relr @ (sk12 @ sk3 @ (sk2)) @ (sk11 @ (sk12 @ sk3 @ (sk2)) @ (sk2))) | (~ (reli @ sk4 @ sk9))),inference(pre_uni,[status(thm)],[3549:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk3 @ (sk2)))]])).
% 141.02/41.00  thf(77,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | ~ (($true)) | (sk2 @ D) | ((reli @ sk3 @ sk4) != (reli @ C @ D)))),inference(paramod_ordered,[status(thm)],[11,21])).
% 141.02/41.00  thf(78,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (sk2 @ D) | ((reli @ sk3 @ sk4) != (reli @ C @ D)))),inference(simp,[status(thm)],[77])).
% 141.02/41.00  thf(79,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk3)) | (~ (princ_inj @ sk1 @ (sk8 @ sk3 @ B @ A))) | (sk2 @ sk4))),inference(pattern_uni,[status(thm)],[78:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk3)),bind(D, $thf(sk4))]])).
% 141.02/41.00  thf(778,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | ~ (($true)) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | ((reli @ sk5 @ sk6) != (reli @ sk4 @ A)))),inference(paramod_ordered,[status(thm)],[13,372])).
% 141.02/41.00  thf(779,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | ((reli @ sk5 @ sk6) != (reli @ sk4 @ A)))),inference(simp,[status(thm)],[778])).
% 141.02/41.00  thf(797,plain,(! [A:$i] : ((sk2 @ A) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk5 != sk4) | (sk6 != A))),inference(simp,[status(thm)],[779])).
% 141.02/41.00  thf(807,plain,((sk2 @ sk6) | (sk6 != sk5) | (sk7 != sk5) | ((sk8 @ sk4 @ sk5 @ sk6) != sk6) | (sk6 != sk4) | (sk5 != sk3) | (sk5 != sk4)),inference(simp,[status(thm)],[797])).
% 141.02/41.00  thf(16433,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (relr @ sk4 @ (sk11 @ sk4 @ (^ [C:$i]: (reli @ C @ sk9)))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3577])).
% 141.02/41.00  thf(16434,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (relr @ sk4 @ (sk11 @ sk4 @ (^ [C:$i]: (reli @ C @ sk9)))) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[16433])).
% 141.02/41.00  thf(16526,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (relr @ sk4 @ (sk11 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9))))),inference(pre_uni,[status(thm)],[16434:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(6682,plain,((relr @ (sk12 @ sk5 @ (sk2)) @ (sk11 @ (sk12 @ sk5 @ (sk2)) @ (sk2))) | ((sk10 @ sk6 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[6663:[bind(A, $thf(sk2)),bind(B, $thf(sk12 @ sk5 @ (sk2)))]])).
% 141.02/41.00  thf(93363,plain,(! [A:$i] : (~ (($true)) | (princ_inj @ loca @ sk6) | ((reli @ (sk12 @ sk9 @ (sk2)) @ (sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2))) != (reli @ A @ sk5)))),inference(paramod_ordered,[status(thm)],[28381,92734])).
% 141.02/41.00  thf(93364,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((reli @ (sk12 @ sk9 @ (sk2)) @ (sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2))) != (reli @ A @ sk5)))),inference(simp,[status(thm)],[93363])).
% 141.02/41.00  thf(93693,plain,(! [A:$i] : ((princ_inj @ loca @ sk6) | ((sk12 @ sk9 @ (sk2)) != A) | ((sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2)) != sk5))),inference(simp,[status(thm)],[93364])).
% 141.02/41.00  thf(93770,plain,((princ_inj @ loca @ sk6) | ((sk10 @ (sk12 @ sk9 @ (sk2)) @ (sk2)) != sk5)),inference(simp,[status(thm)],[93693])).
% 141.02/41.00  thf(11161,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ~ (($true)) | ((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) != (reli @ A @ sk7)))),inference(paramod_ordered,[status(thm)],[4474,3399])).
% 141.02/41.00  thf(11162,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ((reli @ (sk12 @ sk6 @ (sk2)) @ (sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2))) != (reli @ A @ sk7)))),inference(simp,[status(thm)],[11161])).
% 141.02/41.00  thf(11209,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | ((sk12 @ sk6 @ (sk2)) != A) | ((sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2)) != sk7))),inference(simp,[status(thm)],[11162])).
% 141.02/41.00  thf(11258,plain,((~ (sk2 @ (sk12 @ (sk12 @ sk6 @ (sk2)) @ (sk2)))) | ((sk10 @ (sk12 @ sk6 @ (sk2)) @ (sk2)) != sk7)),inference(simp,[status(thm)],[11209])).
% 141.02/41.00  thf(16363,plain,((relr @ sk9 @ (sk11 @ sk9 @ (reli @ sk4))) | (relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[16317:[bind(A, $thf(reli @ sk4)),bind(B, $thf(sk9))]])).
% 141.02/41.00  thf(3384,plain,(! [C:$i,B:$i,A:$i] : ((~ (sk2 @ (sk12 @ B @ (sk2)))) | ~ (($true)) | (~ (reli @ C @ sk9)) | ((reli @ A @ (sk10 @ A @ (^ [D:$i]: (($false))))) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[507,3131])).
% 141.02/41.00  thf(3385,plain,(! [C:$i,B:$i,A:$i] : ((~ (sk2 @ (sk12 @ B @ (sk2)))) | (~ (reli @ C @ sk9)) | ((reli @ A @ (sk10 @ A @ (^ [D:$i]: (($false))))) != (reli @ B @ C)))),inference(simp,[status(thm)],[3384])).
% 141.02/41.00  thf(3386,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ (sk10 @ A @ (^ [B:$i]: (($false)))) @ sk9)))),inference(pattern_uni,[status(thm)],[3385:[bind(A, $thf(D)),bind(B, $thf(D)),bind(C, $thf(sk10 @ D @ (^ [E:$i]: (($false)))))]])).
% 141.02/41.00  thf(3489,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ (sk10 @ A @ (^ [B:$i]: (($false)))) @ sk9)))),inference(simp,[status(thm)],[3386])).
% 141.02/41.00  thf(5672,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | ((sk10 @ sk4 @ (^ [B:$i]: (($false)))) != sk9) | ((A @ sk6) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,3600])).
% 141.02/41.00  thf(5673,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ((sk10 @ sk4 @ (^ [B:$i]: (($false)))) != sk9) | ((A @ sk6) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[5672])).
% 141.02/41.00  thf(5681,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ sk3 @ sk2))))) | ((sk10 @ sk4 @ (^ [A:$i]: (($false)))) != sk9)),inference(pre_uni,[status(thm)],[5673:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ sk3 @ sk2))))]])).
% 141.02/41.00  thf(60,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | ~ (($true)) | (sk2 @ D) | ((reli @ sk5 @ sk6) != (reli @ C @ D)))),inference(paramod_ordered,[status(thm)],[13,21])).
% 141.02/41.00  thf(61,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (~ (princ_inj @ sk1 @ (sk8 @ C @ B @ A))) | (sk2 @ D) | ((reli @ sk5 @ sk6) != (reli @ C @ D)))),inference(simp,[status(thm)],[60])).
% 141.02/41.00  thf(62,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ sk5)) | (~ (princ_inj @ sk1 @ (sk8 @ sk5 @ B @ A))) | (sk2 @ sk6))),inference(pattern_uni,[status(thm)],[61:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk5)),bind(D, $thf(sk6))]])).
% 141.02/41.00  thf(1093,plain,((prop_b @ sk6) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ sk1 @ (sk10 @ A @ prop_b)))))),inference(pre_uni,[status(thm)],[1046:[bind(A, $thf(^ [B:$i]: (princ_inj @ sk1 @ (sk10 @ B @ prop_b))))]])).
% 141.02/41.00  thf(3554,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | ~ (($true)) | (~ (reli @ sk4 @ sk9)) | ((A @ sk6) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[506,3354])).
% 141.02/41.00  thf(3555,plain,(! [A:($i > $o)] : ((princ_inj @ sk1 @ (sk10 @ sk6 @ (A))) | (~ (reli @ sk4 @ sk9)) | ((A @ sk6) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[3554])).
% 141.02/41.00  thf(3570,plain,((princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: (sk2 @ (sk12 @ sk3 @ sk2))))) | (~ (reli @ sk4 @ sk9))),inference(pre_uni,[status(thm)],[3555:[bind(A, $thf(^ [B:$i]: (sk2 @ (sk12 @ sk3 @ sk2))))]])).
% 141.02/41.00  thf(66121,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | ~ (($true)) | (sk6 != sk5) | (sk7 != sk3) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(paramod_ordered,[status(thm)],[17,63320])).
% 141.02/41.00  thf(66122,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (sk6 != sk5) | (sk7 != sk3) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(simp,[status(thm)],[66121])).
% 141.02/41.00  thf(66123,plain,((~ (reli @ sk6 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk6 != sk5) | (sk7 != sk3)),inference(pattern_uni,[status(thm)],[66122:[bind(A, $thf(sk8 @ sk7 @ sk5 @ sk4))]])).
% 141.02/41.00  thf(64829,plain,(~ (($true)) | (sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[11,63298])).
% 141.02/41.00  thf(64830,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | ((reli @ sk7 @ sk4) != (reli @ sk3 @ sk4))),inference(simp,[status(thm)],[64829])).
% 141.02/41.00  thf(64861,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk3) | (sk4 != sk4)),inference(simp,[status(thm)],[64830])).
% 141.02/41.00  thf(64947,plain,((sk6 != sk5) | ((sk8 @ sk7 @ sk5 @ sk4) != sk7) | (sk7 != sk3)),inference(simp,[status(thm)],[64861])).
% 141.02/41.00  thf(74527,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | ~ (($true)) | (sk7 != sk3) | (sk7 != sk6) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(paramod_ordered,[status(thm)],[17,74058])).
% 141.02/41.00  thf(74528,plain,(! [A:$i] : ((~ (reli @ sk6 @ A)) | (sk7 != sk3) | (sk7 != sk6) | ((princ_inj @ sk1 @ A) != (princ_inj @ sk1 @ (sk8 @ sk7 @ sk5 @ sk4))))),inference(simp,[status(thm)],[74527])).
% 141.02/41.00  thf(74529,plain,((~ (reli @ sk6 @ (sk8 @ sk7 @ sk5 @ sk4))) | (sk7 != sk3) | (sk7 != sk6)),inference(pattern_uni,[status(thm)],[74528:[bind(A, $thf(sk8 @ sk7 @ sk5 @ sk4))]])).
% 141.02/41.00  thf(18778,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | ((sk10 @ sk6 @ (^ [C:$i]: (reli @ C @ sk9))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,18756])).
% 141.02/41.00  thf(18779,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ((sk10 @ sk6 @ (^ [C:$i]: (reli @ C @ sk9))) != sk9) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[18778])).
% 141.02/41.00  thf(18826,plain,((reli @ sk5 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | ((sk10 @ sk6 @ (^ [A:$i]: (reli @ A @ sk9))) != sk9)),inference(pre_uni,[status(thm)],[18779:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(1496,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | ~ (($true)) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_c @ C)))) | ((A @ B) != (prop_c @ sk6)))),inference(paramod_ordered,[status(thm)],[30,1086])).
% 141.02/41.00  thf(1497,plain,(! [B:$i,A:($i > $o)] : ((relr @ B @ (sk11 @ B @ (A))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [C:$i]: ~ (prop_c @ C)))) | ((A @ B) != (prop_c @ sk6)))),inference(simp,[status(thm)],[1496])).
% 141.02/41.00  thf(1505,plain,((relr @ sk6 @ (sk11 @ sk6 @ (prop_c))) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (prop_c @ A))))),inference(pre_uni,[status(thm)],[1497:[bind(A, $thf(prop_c)),bind(B, $thf(sk6))]])).
% 141.02/41.00  thf(6776,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | ~ (($true)) | (sk6 != sk5) | (sk9 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,4206])).
% 141.02/41.00  thf(6777,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (sk6 != sk5) | (sk9 != sk6) | ((A @ B) != (sk2 @ (sk12 @ sk5 @ (sk2)))))),inference(simp,[status(thm)],[6776])).
% 141.02/41.00  thf(6797,plain,((reli @ sk5 @ (sk10 @ sk5 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (sk6 != sk5) | (sk9 != sk6)),inference(pre_uni,[status(thm)],[6777:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk5))]])).
% 141.02/41.00  thf(109,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | ~ (($true)) | (sk7 != sk5) | ((reli @ sk3 @ sk4) != (reli @ B @ C)))),inference(paramod_ordered,[status(thm)],[11,87])).
% 141.02/41.00  thf(110,plain,(! [C:$i,B:$i,A:$i] : ((sk2 @ C) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ B)) | (~ (princ_inj @ sk1 @ (sk8 @ B @ A @ sk6))) | (sk7 != sk5) | ((reli @ sk3 @ sk4) != (reli @ B @ C)))),inference(simp,[status(thm)],[109])).
% 141.02/41.00  thf(111,plain,(! [A:$i] : ((sk2 @ sk4) | (~ (relr @ sk6 @ A)) | (~ (reli @ A @ sk3)) | (~ (princ_inj @ sk1 @ (sk8 @ sk3 @ A @ sk6))) | (sk7 != sk5))),inference(pattern_uni,[status(thm)],[110:[bind(A, $thf(A)),bind(B, $thf(sk3)),bind(C, $thf(sk4))]])).
% 141.02/41.00  thf(232,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ C)) | (reli @ C @ (sk8 @ C @ B @ A)) | (sk2 @ D) | ((reli @ C @ D) != (reli @ B @ C)) | ~ (($true)))),inference(eqfactor_ordered,[status(thm)],[20])).
% 141.02/41.00  thf(238,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ B)) | (reli @ B @ (sk8 @ B @ B @ A)) | (sk2 @ B))),inference(pattern_uni,[status(thm)],[232:[bind(A, $thf(A)),bind(B, $thf(D)),bind(C, $thf(D))]])).
% 141.02/41.00  thf(254,plain,(! [B:$i,A:$i] : ((~ (reli @ sk7 @ A)) | (~ (relr @ A @ B)) | (~ (reli @ B @ B)) | (reli @ B @ (sk8 @ B @ B @ A)) | (sk2 @ B))),inference(simp,[status(thm)],[238])).
% 141.02/41.00  thf(3355,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ~ (($true)) | ((reli @ sk3 @ sk4) != (reli @ B @ sk9)))),inference(paramod_ordered,[status(thm)],[11,3131])).
% 141.02/41.00  thf(3356,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | ((reli @ sk3 @ sk4) != (reli @ B @ sk9)))),inference(simp,[status(thm)],[3355])).
% 141.02/41.00  thf(3456,plain,(! [B:$i,A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ B)) | (sk3 != B) | (sk9 != sk4))),inference(simp,[status(thm)],[3356])).
% 141.02/41.00  thf(3461,plain,(! [A:$i] : ((~ (sk2 @ (sk12 @ A @ (sk2)))) | (~ (reli @ A @ sk3)) | (sk9 != sk4))),inference(simp,[status(thm)],[3456])).
% 141.02/41.00  thf(16358,plain,((reli @ sk4 @ (sk10 @ sk4 @ (^ [A:$i]: (reli @ A @ sk9)))) | (relr @ sk3 @ (sk11 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2)))))),inference(pre_uni,[status(thm)],[16209:[bind(A, $thf(^ [C:$i]: (reli @ C @ sk9))),bind(B, $thf(sk4))]])).
% 141.02/41.00  thf(17178,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk4))) | ~ (($true)) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(paramod_ordered,[status(thm)],[24,3589])).
% 141.02/41.00  thf(17179,plain,(! [B:$i,A:($i > $o)] : ((reli @ B @ (sk10 @ B @ (A))) | (reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk4))) | ((A @ B) != (sk2 @ (sk12 @ sk3 @ (sk2)))))),inference(simp,[status(thm)],[17178])).
% 141.02/41.00  thf(17365,plain,((reli @ sk3 @ (sk10 @ sk3 @ (^ [A:$i]: (sk2 @ (sk12 @ A @ sk2))))) | (reli @ sk9 @ (sk10 @ sk9 @ (reli @ sk4)))),inference(pre_uni,[status(thm)],[17179:[bind(A, $thf(^ [C:$i]: (sk2 @ (sk12 @ C @ sk2)))),bind(B, $thf(sk3))]])).
% 141.02/41.00  thf(95646,plain,((sk7 != sk5) | (princ_inj @ sk1 @ (sk10 @ sk6 @ (^ [A:$i]: ~ (princ_inj @ loca @ sk6))))),inference(pre_uni,[status(thm)],[95609:[bind(A, $thf(^ [B:$i]: (princ_inj @ loca @ sk6)))]])).
% 141.02/41.00  thf(643,plain,(! [A:$i] : ((~ (prop_c @ (sk10 @ A @ (prop_c)))) | (prop_c @ A))),inference(prim_subst,[status(thm)],[25:[bind(A, $thf(prop_c))]])).
% 141.02/41.00  thf(676,plain,(! [A:$i] : ((~ (prop_c @ (sk10 @ A @ (prop_c)))) | (prop_c @ A))),inference(simp,[status(thm)],[643])).
% 141.02/41.00  thf(172438,plain,(($false)),inference(e,[status(thm)],[4188,69594,3399,114219,249,110220,1110,88,24432,115,36162,66360,247,5691,4479,1692,24181,4220,3577,24430,1507,4294,6680,66438,3629,93756,42,24,1650,37,25,257,63592,1475,52,95804,3131,372,3485,125,93745,80692,62614,20,4194,870,93,17085,69849,4253,28381,17097,1479,46,4205,95647,3569,806,5457,492,164,11064,63298,4173,72013,5680,5448,734,1119,16957,74044,95322,687,1447,77843,89,133,93718,243,116,82729,3588,4285,507,4211,248,117,1691,6684,72289,20294,4172,36621,34962,1274,80593,93750,1123,28,165,33,1502,4252,192,4204,275,21,92,252,4192,3600,28935,28395,1106,3578,329,1089,36416,18677,9,1096,53,109941,3632,593,141,72245,36379,1082,124,78121,63582,10936,1700,1446,212,11248,256,63585,36168,66510,1451,3354,73674,24438,95321,13,1086,86430,3592,35230,63273,25438,74058,4288,266,74403,4476,1510,1698,166,34,93695,4256,95466,17,45,25774,18841,1374,28383,19032,28947,93748,3636,93762,93739,875,4605,3590,3604,64930,22,5488,259,27,1503,12,54,6673,64858,74394,63325,49,1092,3579,17369,69777,86,93734,4186,17173,804,95467,947,6742,274,1117,3468,5407,39,4176,3586,63320,64960,71992,5631,245,93707,62880,91,4181,6678,240,251,1474,1699,3627,62751,1445,16359,1113,69836,226,267,5693,241,1477,10803,66766,4481,110436,927,4177,5678,1472,16362,93652,4292,1509,62611,4255,82975,18,282,1647,5592,4287,59563,93715,74353,48,3391,1003,66749,4593,1098,50,18756,25758,62729,80626,21650,31,93730,3564,5628,6803,11,83332,17027,11054,143,43,250,3584,87,3589,6758,99,1108,17088,8075,69842,93706,28609,1476,62629,158,110437,62685,40,28212,4250,74832,3630,114,139,24436,4182,246,1777,929,4478,1706,1661,684,69565,28393,16717,1116,71997,36607,93731,1097,30,95805,72211,19,9463,4455,63523,36,69818,4474,35859,1693,77554,928,4178,239,242,5404,3560,3558,506,79,807,16526,69574,6682,93770,11258,596,16363,3489,5681,62,92734,871,4221,1093,19948,3570,66123,15,4206,163,64947,74529,18826,1505,6797,111,254,77522,3461,935,16358,17365,95646,676])).
% 141.02/41.00  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.02/41.00  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------