%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV434^4 : TPTP v9.3.1. Released v3.6.0.
% 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 : n010.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 08:39:52 AM UTC 2026
% Result : Theorem 11.90s 4.19s
% Output : Refutation 10.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV434^4 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.10 % 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
% 0.24/0.29 % Computer : n010.cluster.edu
% 0.24/0.29 % Model : x86_64 x86_64
% 0.24/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.29 % Memory : 8046.5625MB
% 0.24/0.29 % OS : Linux 6.8.0-71-generic
% 0.24/0.29 % CPULimit : 300
% 0.24/0.29 % WCLimit : 300
% 0.24/0.29 % DateTime : Tue Sep 29 16:03:33 UTC 2026
% 0.24/0.29 % CPUTime :
% 0.24/0.29 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
% 1.17/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.87/1.23 % [INFO] Parsing done (236ms).
% 1.87/1.24 % [INFO] Running in sequential loop mode.
% 2.67/1.68 % [INFO] eprover registered as external prover.
% 2.67/1.69 % [INFO] Scanning for conjecture ...
% 3.16/1.86 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 3.16/1.89 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 3.39/1.90 % [INFO] Problem is higher-order (TPTP THF).
% 3.39/1.90 % [INFO] Type checking passed.
% 3.39/1.91 % [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 ...
% 11.90/4.18 % [INFO] Killing All external provers ...
% 11.90/4.19 % Time passed: 3713ms (effective reasoning time: 2934ms)
% 11.90/4.19 % 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)>
% 11.90/4.19 % Axioms used in derivation (1): refl_axiom
% 11.90/4.19 % No. of inferences in proof: 25
% 11.90/4.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3713 ms resp. 2934 ms w/o parsing
% 10.54/4.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.54/4.27 thf(individuals_type, type, individuals: $tType).
% 10.54/4.27 thf(mfalse_decl, type, mfalse: ($i > $o)).
% 10.54/4.27 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 10.54/4.27 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 10.54/4.27 thf(mimpl_decl, type, mimpl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 10.54/4.27 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 10.54/4.27 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 10.54/4.27 thf(rel_decl, type, rel: ($i > ($i > $o))).
% 10.54/4.27 thf(icl_atom_decl, type, icl_atom: (($i > $o) > ($i > $o))).
% 10.54/4.27 thf(icl_impl_decl, type, icl_impl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 10.54/4.27 thf(icl_false_decl, type, icl_false: ($i > $o)).
% 10.54/4.27 thf(icl_says_decl, type, icl_says: (($i > $o) > (($i > $o) > ($i > $o)))).
% 10.54/4.27 thf(iclval_decl, type, iclval: (($i > $o) > $o)).
% 10.54/4.27 thf(s_decl, type, s: ($i > $o)).
% 10.54/4.27 thf(sk1_decl, type, sk1: $i).
% 10.54/4.27 thf(sk2_decl, type, sk2: $i).
% 10.54/4.27 thf(sk3_decl, type, sk3: $i).
% 10.54/4.27 thf(sk4_decl, type, sk4: ($i > (($i > $o) > $i))).
% 10.54/4.27 thf(mfalse_def, definition, mfalse = (^ [A:$i]: (($false))) ).
% 10.54/4.27 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 10.54/4.27 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 10.54/4.27 thf(mimpl_def, definition, mimpl = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 10.54/4.27 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 10.54/4.27 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 10.54/4.27 thf(icl_atom_def, definition, icl_atom = (mbox @ rel) ).
% 10.54/4.27 thf(icl_impl_def, definition, icl_impl = (^ [A:($i > $o),B:($i > $o)]: (mbox @ rel @ (mimpl @ A @ B))) ).
% 10.54/4.27 thf(icl_false_def, definition, icl_false = (mfalse) ).
% 10.54/4.27 thf(icl_says_def, definition, icl_says = (^ [A:($i > $o),B:($i > $o)]: (mbox @ rel @ (mor @ A @ B))) ).
% 10.54/4.27 thf(iclval_def, definition, iclval = (mvalid) ).
% 10.54/4.27 thf(sk1_def, definition, sk1 = (@+ [A:$i]: ~ (! [B:$i]: ((rel @ A @ B) => (~ (! [C:$i]: ((rel @ B @ C) => (! [D:$i]: ((rel @ C @ D) => (s @ D))))) | ! [C:$i]: ((rel @ B @ C) => (s @ C)))))) ).
% 10.54/4.27 thf(sk2_def, definition, sk2 = (@+ [A:$i]: ~ ((rel @ sk1 @ A) => (~ (! [B:$i]: ((rel @ A @ B) => (! [C:$i]: ((rel @ B @ C) => (s @ C))))) | ! [B:$i]: ((rel @ A @ B) => (s @ B))))) ).
% 10.54/4.27 thf(sk3_def, definition, sk3 = (@+ [A:$i]: ~ ((rel @ sk2 @ A) => (s @ A))) ).
% 10.54/4.27 thf(sk4_def, definition, sk4 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((rel @ A @ C) => (B @ C)))) ).
% 10.54/4.27 thf(3,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ rel @ A) @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
% 10.54/4.27 thf(11,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((rel @ B @ C) => (A @ C))) | (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
% 10.54/4.27 thf(12,plain,(! [B:$i,A:($i > $o)] : ((((rel @ B @ (sk4 @ B @ (A))) | (A @ B)) & (~ (A @ (sk4 @ B @ (A))) | (A @ B))))),inference(cnf,[status(esa)],[11])).
% 10.54/4.27 thf(13,plain,(! [B:$i,A:($i > $o)] : ((rel @ B @ (sk4 @ B @ (A))) | (A @ B))),inference(cnfConj,[status(thm)],[12])).
% 10.54/4.27 thf(1,conjecture,((iclval @ (icl_impl @ (icl_says @ icl_false @ (icl_atom @ s)) @ (icl_atom @ s)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',trust)).
% 10.54/4.27 thf(2,negated_conjecture,((~ (iclval @ (icl_impl @ (icl_says @ icl_false @ (icl_atom @ s)) @ (icl_atom @ s))))),inference(neg_conjecture,[status(cth)],[1])).
% 10.54/4.27 thf(5,plain,((~ (! [A:$i,B:$i]: ((rel @ A @ B) => (~ (! [C:$i]: ((rel @ B @ C) => (! [D:$i]: ((rel @ C @ D) => (s @ D))))) | ! [C:$i]: ((rel @ B @ C) => (s @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 10.54/4.27 thf(6,plain,(! [B:$i,A:$i] : (((rel @ sk1 @ sk2) & (~ (rel @ sk2 @ A) | ~ (rel @ A @ B) | (s @ B)) & (rel @ sk2 @ sk3) & ~ (s @ sk3)))),inference(cnf,[status(esa)],[5])).
% 10.54/4.27 thf(9,plain,((rel @ sk2 @ sk3)),inference(cnfConj,[status(thm)],[6])).
% 10.54/4.27 thf(8,plain,(! [B:$i,A:$i] : ((~ (rel @ sk2 @ A)) | (~ (rel @ A @ B)) | (s @ B))),inference(cnfConj,[status(thm)],[6])).
% 10.54/4.27 thf(323,plain,(! [B:$i,A:$i] : ((~ (rel @ sk2 @ A)) | ~ (($true)) | (s @ B) | ((rel @ sk2 @ sk3) != (rel @ A @ B)))),inference(paramod_ordered,[status(thm)],[9,8])).
% 10.54/4.27 thf(324,plain,(! [B:$i,A:$i] : ((~ (rel @ sk2 @ A)) | (s @ B) | ((rel @ sk2 @ sk3) != (rel @ A @ B)))),inference(simp,[status(thm)],[323])).
% 10.54/4.27 thf(325,plain,((~ (rel @ sk2 @ sk2)) | (s @ sk3)),inference(pattern_uni,[status(thm)],[324:[bind(A, $thf(sk2)),bind(B, $thf(sk3))]])).
% 10.54/4.27 thf(10,plain,((~ (s @ sk3))),inference(cnfConj,[status(thm)],[6])).
% 10.54/4.27 thf(371,plain,((~ (rel @ sk2 @ sk2)) | ($false)),inference(rewrite,[status(thm)],[325,10])).
% 10.54/4.27 thf(372,plain,((~ (rel @ sk2 @ sk2))),inference(simp,[status(thm)],[371])).
% 10.54/4.27 thf(381,plain,(! [B:$i,A:($i > $o)] : ((rel @ B @ (sk4 @ B @ (A))) | ~ (($true)) | ((A @ B) != (rel @ sk2 @ sk2)))),inference(paramod_ordered,[status(thm)],[13,372])).
% 10.54/4.27 thf(382,plain,(! [B:$i,A:($i > $o)] : ((rel @ B @ (sk4 @ B @ (A))) | ((A @ B) != (rel @ sk2 @ sk2)))),inference(simp,[status(thm)],[381])).
% 10.54/4.27 thf(392,plain,((rel @ sk2 @ (sk4 @ sk2 @ (rel @ sk2)))),inference(pre_uni,[status(thm)],[382:[bind(A, $thf(rel @ sk2)),bind(B, $thf(sk2))]])).
% 10.54/4.27 thf(14,plain,(! [B:$i,A:($i > $o)] : ((~ (A @ (sk4 @ B @ (A)))) | (A @ B))),inference(cnfConj,[status(thm)],[12])).
% 10.54/4.27 thf(536,plain,(! [B:$i,A:($i > $o)] : (~ (($true)) | (A @ B) | ((rel @ sk2 @ (sk4 @ sk2 @ (rel @ sk2))) != (A @ (sk4 @ B @ (A)))))),inference(paramod_ordered,[status(thm)],[392,14])).
% 10.54/4.27 thf(537,plain,(! [B:$i,A:($i > $o)] : ((A @ B) | ((rel @ sk2 @ (sk4 @ sk2 @ (rel @ sk2))) != (A @ (sk4 @ B @ (A)))))),inference(simp,[status(thm)],[536])).
% 10.54/4.27 thf(544,plain,((rel @ sk2 @ sk2)),inference(pre_uni,[status(thm)],[537:[bind(A, $thf(rel @ sk2)),bind(B, $thf(sk2))]])).
% 10.54/4.27 thf(555,plain,(($false)),inference(rewrite,[status(thm)],[544,372])).
% 10.54/4.27 thf(556,plain,(($false)),inference(simp,[status(thm)],[555])).
% 10.54/4.27 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.54/4.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------