%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : AGT035^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 : n008.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 07:44:35 AM UTC 2026
% Result : Theorem 4.40s 1.61s
% Output : Refutation 4.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT035^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.07 % 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
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:31:24 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 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
% 0.68/0.49 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/0.65 % [INFO] Parsing done (163ms).
% 1.14/0.66 % [INFO] Running in sequential loop mode.
% 1.72/0.89 % [INFO] eprover registered as external prover.
% 1.96/0.90 % [INFO] Scanning for conjecture ...
% 1.96/1.00 % [INFO] Found a conjecture (or negated_conjecture) and 39 axioms. Running axiom selection ...
% 2.33/1.04 % [INFO] Axiom selection finished. Selected 39 axioms (removed 0 axioms).
% 2.33/1.06 % [INFO] Problem is higher-order (TPTP THF).
% 2.33/1.06 % [INFO] Type checking passed.
% 2.33/1.06 % [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 ...
% 4.40/1.60 % External prover 'e' found a proof!
% 4.40/1.60 % [INFO] Killing All external provers ...
% 4.40/1.60 % Time passed: 1340ms (effective reasoning time: 942ms)
% 4.40/1.60 % 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)>
% 4.40/1.61 % Axioms used in derivation (39): axioms_5_a3, axioms_B_a1, axiom_a1_4, axiom_a3_3, axiom_a2_2, axioms_5_a2, axiom_user_communication_4, axioms_5_a1, axioms_D_a1, axiom_a1_2, axiom_user_communication_2, axiom_I_a1_a3, axiom_a1_3, axiom_a3_2, axiom_user_communication_3, axioms_Is_a1_a2, axioms_Is_a2_a1, axioms_Is_a3_a2, axioms_Is_a3_a1, axioms_D_a3, axiom_I_a2_a3, axiom_a3_4, axiom_I_a1_a2, axiom_a1_1, axioms_Is_a1_a1, axiom_a2_3, axiom_user_communication_1, axioms_B_a3, axiom_a2_4, axioms_Is_a1_a3, axioms_Is_a2_a2, axiom_user_communication_5, axiom_a3_1, axioms_B_a2, axioms_Is_a3_a3, axioms_Is_a2_a3, axiom_a2_5, axioms_D_a2, axiom_a2_1
% 4.40/1.61 % No. of inferences in proof: 82
% 4.40/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1340 ms resp. 942 ms w/o parsing
% 4.40/1.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.40/1.67 thf(mu_type, type, mu: $tType).
% 4.40/1.67 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 4.40/1.67 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.40/1.67 thf(mand_decl, type, mand: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.40/1.67 thf(mimplies_decl, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.40/1.67 thf(mforall_ind_decl, type, mforall_ind: ((mu > ($i > $o)) > ($i > $o))).
% 4.40/1.67 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 4.40/1.67 thf(mdia_decl, type, mdia: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 4.40/1.67 thf(msymmetric_decl, type, msymmetric: (($i > ($i > $o)) > $o)).
% 4.40/1.67 thf(mserial_decl, type, mserial: (($i > ($i > $o)) > $o)).
% 4.40/1.67 thf(meuclidean_decl, type, meuclidean: (($i > ($i > $o)) > $o)).
% 4.40/1.67 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 4.40/1.67 thf(a1_decl, type, a1: ($i > ($i > $o))).
% 4.40/1.67 thf(a2_decl, type, a2: ($i > ($i > $o))).
% 4.40/1.67 thf(a3_decl, type, a3: ($i > ($i > $o))).
% 4.40/1.67 thf(jan_decl, type, jan: mu).
% 4.40/1.67 thf(piotr_decl, type, piotr: mu).
% 4.40/1.67 thf(cola_decl, type, cola: mu).
% 4.40/1.67 thf(pepsi_decl, type, pepsi: mu).
% 4.40/1.67 thf(beer_decl, type, beer: mu).
% 4.40/1.67 thf(likes_decl, type, likes: (mu > (mu > ($i > $o)))).
% 4.40/1.67 thf(very_much_likes_decl, type, very_much_likes: (mu > (mu > ($i > $o)))).
% 4.40/1.67 thf(possibly_likes_decl, type, possibly_likes: (mu > (mu > ($i > $o)))).
% 4.40/1.67 thf(subrel_decl, type, subrel: (($i > ($i > $o)) > (($i > ($i > $o)) > $o))).
% 4.40/1.67 thf(cond4s_decl, type, cond4s: (($i > ($i > $o)) > (($i > ($i > $o)) > $o))).
% 4.40/1.67 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 4.40/1.67 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 4.40/1.67 thf(mand_def, definition, mand = (^ [A:($i > $o),B:($i > $o)]: (mnot @ (mor @ (mnot @ A) @ (mnot @ B)))) ).
% 4.40/1.67 thf(mimplies_def, definition, mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 4.40/1.67 thf(mforall_ind_def, definition, mforall_ind = (^ [A:(mu > ($i > $o)),B:$i]: ! [C:mu]: (A @ C @ B)) ).
% 4.40/1.67 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: (~ (A @ C @ D) | (B @ D))) ).
% 4.40/1.67 thf(mdia_def, definition, mdia = (^ [A:($i > ($i > $o)),B:($i > $o)]: (mnot @ (mbox @ A @ (mnot @ B)))) ).
% 4.40/1.67 thf(msymmetric_def, definition, msymmetric = (^ [A:($i > ($i > $o))]: ! [B:$i,C:$i]: ((A @ B @ C) => (A @ C @ B))) ).
% 4.40/1.67 thf(mserial_def, definition, mserial = (^ [A:($i > ($i > $o))]: ! [B:$i]: ? [C:$i]: (A @ B @ C)) ).
% 4.40/1.67 thf(meuclidean_def, definition, meuclidean = (^ [A:($i > ($i > $o))]: ! [B:$i,C:$i,D:$i]: (((A @ B @ C) & (A @ B @ D)) => (A @ C @ D))) ).
% 4.40/1.67 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 4.40/1.67 thf(subrel_def, definition, subrel = (^ [A:($i > ($i > $o)),B:($i > ($i > $o))]: ! [C:$i,D:$i]: ((A @ C @ D) => (B @ C @ D))) ).
% 4.40/1.67 thf(cond4s_def, definition, cond4s = (^ [A:($i > ($i > $o)),B:($i > ($i > $o))]: ! [C:$i,D:$i,E:$i]: (((A @ C @ D) & (B @ D @ E)) => (B @ C @ E))) ).
% 4.40/1.67 thf(29,axiom,((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_3)).
% 4.40/1.67 thf(101,plain,((! [A:$i]: ~ (! [B:$i]: (~ (a1 @ A @ B) | ~ (likes @ piotr @ beer @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])).
% 4.40/1.67 thf(37,axiom,((mvalid @ (mbox @ a1 @ (likes @ piotr @ pepsi)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_2)).
% 4.40/1.67 thf(120,plain,((! [A:$i,B:$i]: (~ (a1 @ A @ B) | (likes @ piotr @ pepsi @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])).
% 4.40/1.67 thf(9,axiom,((msymmetric @ a1)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1)).
% 4.40/1.67 thf(56,plain,((! [A:$i,B:$i]: ((a1 @ A @ B) => (a1 @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
% 4.40/1.67 thf(1,conjecture,((mvalid @ (likes @ jan @ cola))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture)).
% 4.40/1.67 thf(2,negated_conjecture,((~ (mvalid @ (likes @ jan @ cola)))),inference(neg_conjecture,[status(cth)],[1])).
% 4.40/1.67 thf(42,plain,((~ (! [A:$i]: (likes @ jan @ cola @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 4.40/1.67 thf(11,axiom,((cond4s @ a2 @ a3)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a3)).
% 4.40/1.67 thf(60,plain,((! [A:$i,B:$i,C:$i]: (((a2 @ A @ B) & (a3 @ B @ C)) => (a3 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])).
% 4.40/1.67 thf(16,axiom,((mserial @ a2)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a2)).
% 4.40/1.67 thf(70,plain,((! [A:$i]: ? [B:$i]: (a2 @ A @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])).
% 4.40/1.67 thf(39,axiom,((mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1)).
% 4.40/1.67 thf(128,plain,((! [A:$i,B:$i]: (~ (a3 @ A @ B) | (likes @ jan @ cola @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])).
% 4.40/1.67 thf(13,axiom,((msymmetric @ a2)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a2)).
% 4.40/1.67 thf(64,plain,((! [A:$i,B:$i]: ((a2 @ A @ B) => (a2 @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])).
% 4.40/1.67 thf(19,axiom,((meuclidean @ a3)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a3)).
% 4.40/1.67 thf(76,plain,((! [A:$i,B:$i,C:$i]: (((a3 @ A @ B) & (a3 @ A @ C)) => (a3 @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])).
% 4.40/1.67 thf(33,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ a2 @ (mimplies @ (likes @ A @ pepsi) @ (likes @ A @ cola))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_4)).
% 4.40/1.67 thf(112,plain,((! [A:$i,B:mu,C:$i]: (~ (a2 @ A @ C) | ~ (likes @ B @ pepsi @ C) | (likes @ B @ cola @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])).
% 4.40/1.67 thf(5,axiom,((mserial @ a3)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a3)).
% 4.40/1.67 thf(48,plain,((! [A:$i]: ? [B:$i]: (a3 @ A @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
% 4.40/1.67 thf(6,axiom,((cond4s @ a1 @ a1)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a1)).
% 4.40/1.67 thf(50,plain,((! [A:$i,B:$i,C:$i]: (((a1 @ A @ B) & (a1 @ B @ C)) => (a1 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
% 4.40/1.67 thf(17,axiom,((meuclidean @ a2)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a2)).
% 4.40/1.67 thf(72,plain,((! [A:$i,B:$i,C:$i]: (((a2 @ A @ B) & (a2 @ A @ C)) => (a2 @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])).
% 4.40/1.67 thf(28,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mforall_ind @ (^ [B:mu]: (mimplies @ (mdia @ a3 @ (very_much_likes @ A @ B)) @ (likes @ A @ B)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_2)).
% 4.40/1.67 thf(99,plain,((! [A:$i,B:mu,C:mu]: (! [D:$i]: (~ (a3 @ A @ D) | ~ (very_much_likes @ B @ C @ D)) | (likes @ B @ C @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])).
% 4.40/1.67 thf(34,axiom,((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_1)).
% 4.40/1.67 thf(114,plain,((! [A:$i,B:$i]: (~ (a2 @ A @ B) | (likes @ jan @ pepsi @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])).
% 4.40/1.67 thf(7,axiom,((cond4s @ a1 @ a1)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a1)).
% 4.40/1.67 thf(52,plain,((! [A:$i,B:$i,C:$i]: (((a1 @ A @ B) & (a1 @ B @ C)) => (a1 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
% 4.40/1.67 thf(32,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ a1 @ (mimplies @ (mdia @ a1 @ (likes @ A @ pepsi)) @ (likes @ A @ cola))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_3)).
% 4.40/1.67 thf(110,plain,((! [A:$i,B:mu,C:$i]: (~ (a1 @ A @ C) | ! [D:$i]: (~ (a1 @ C @ D) | ~ (likes @ B @ pepsi @ D)) | (likes @ B @ cola @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])).
% 4.40/1.67 thf(4,axiom,((cond4s @ a2 @ a2)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a2)).
% 4.40/1.67 thf(46,plain,((! [A:$i,B:$i,C:$i]: (((a2 @ A @ B) & (a2 @ B @ C)) => (a2 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
% 4.40/1.67 thf(20,axiom,((meuclidean @ a1)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a1)).
% 4.40/1.67 thf(78,plain,((! [A:$i,B:$i,C:$i]: (((a1 @ A @ B) & (a1 @ A @ C)) => (a1 @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])).
% 4.40/1.67 thf(30,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mforall_ind @ (^ [B:mu]: (mimplies @ (mdia @ a1 @ (likes @ A @ B)) @ (possibly_likes @ A @ B)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_3)).
% 4.40/1.67 thf(106,plain,((! [A:$i,B:mu,C:mu]: (! [D:$i]: (~ (a1 @ A @ D) | ~ (likes @ B @ C @ D)) | (possibly_likes @ B @ C @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])).
% 4.40/1.67 thf(23,axiom,((cond4s @ a1 @ a3)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a3)).
% 4.40/1.67 thf(84,plain,((! [A:$i,B:$i,C:$i]: (((a1 @ A @ B) & (a3 @ B @ C)) => (a3 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])).
% 4.40/1.67 thf(41,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mforall_ind @ (^ [B:mu]: (mimplies @ (mdia @ a2 @ (likes @ A @ B)) @ (possibly_likes @ A @ B)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_4)).
% 4.40/1.67 thf(132,plain,((! [A:$i,B:mu,C:mu]: (! [D:$i]: (~ (a2 @ A @ D) | ~ (likes @ B @ C @ D)) | (possibly_likes @ B @ C @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])).
% 4.40/1.67 thf(35,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mforall_ind @ (^ [B:mu]: (mimplies @ (mdia @ a3 @ (likes @ A @ B)) @ (possibly_likes @ A @ B)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_5)).
% 4.40/1.67 thf(116,plain,((! [A:$i,B:mu,C:mu]: (! [D:$i]: (~ (a3 @ A @ D) | ~ (likes @ B @ C @ D)) | (possibly_likes @ B @ C @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])).
% 4.40/1.67 thf(18,axiom,((subrel @ a1 @ a3)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a3)).
% 4.40/1.67 thf(74,plain,((! [A:$i,B:$i]: ((a1 @ A @ B) => (a3 @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])).
% 4.40/1.67 thf(26,axiom,((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2)).
% 4.40/1.67 thf(92,plain,((! [A:$i]: ~ (! [B:$i]: (~ (a3 @ A @ B) | ~ (likes @ piotr @ pepsi @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])).
% 4.40/1.67 thf(27,axiom,((mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1)).
% 4.40/1.67 thf(97,plain,((! [A:$i,B:$i]: (~ (a1 @ A @ B) | (likes @ jan @ cola @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])).
% 4.40/1.67 thf(3,axiom,((cond4s @ a1 @ a2)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a2)).
% 4.40/1.67 thf(44,plain,((! [A:$i,B:$i,C:$i]: (((a1 @ A @ B) & (a2 @ B @ C)) => (a2 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
% 4.40/1.67 thf(36,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ a1 @ (mimplies @ (mdia @ a1 @ (likes @ A @ cola)) @ (likes @ A @ pepsi))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_4)).
% 4.40/1.67 thf(118,plain,((! [A:$i,B:mu,C:$i]: (~ (a1 @ A @ C) | ! [D:$i]: (~ (a1 @ C @ D) | ~ (likes @ B @ cola @ D)) | (likes @ B @ pepsi @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])).
% 4.40/1.67 thf(8,axiom,((msymmetric @ a3)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a3)).
% 4.40/1.67 thf(54,plain,((! [A:$i,B:$i]: ((a3 @ A @ B) => (a3 @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
% 4.40/1.67 thf(24,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mforall_ind @ (^ [B:mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ A @ B)) @ (very_much_likes @ A @ B)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1)).
% 4.40/1.67 thf(86,plain,((! [A:$i,B:mu,C:mu]: (~ (! [D:$i]: (~ (a3 @ A @ D) | (very_much_likes @ B @ C @ D))) | (very_much_likes @ B @ C @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])).
% 4.40/1.67 thf(14,axiom,((subrel @ a2 @ a3)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a2_a3)).
% 4.40/1.67 thf(66,plain,((! [A:$i,B:$i]: ((a2 @ A @ B) => (a3 @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])).
% 4.40/1.67 thf(31,axiom,((mvalid @ (mbox @ a1 @ (likes @ piotr @ beer)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_3)).
% 4.40/1.67 thf(108,plain,((! [A:$i,B:$i]: (~ (a1 @ A @ B) | (likes @ piotr @ beer @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])).
% 4.40/1.67 thf(40,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ a2 @ (mimplies @ (likes @ A @ cola) @ (likes @ A @ pepsi))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_5)).
% 4.40/1.67 thf(130,plain,((! [A:$i,B:mu,C:$i]: (~ (a2 @ A @ C) | ~ (likes @ B @ cola @ C) | (likes @ B @ pepsi @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])).
% 4.40/1.67 thf(21,axiom,((cond4s @ a3 @ a3)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a3)).
% 4.40/1.67 thf(80,plain,((! [A:$i,B:$i,C:$i]: (((a3 @ A @ B) & (a3 @ B @ C)) => (a3 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])).
% 4.40/1.67 thf(10,axiom,((mserial @ a1)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1)).
% 4.40/1.67 thf(58,plain,((! [A:$i]: ? [B:$i]: (a1 @ A @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])).
% 4.40/1.67 thf(22,axiom,((subrel @ a1 @ a2)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a2)).
% 4.40/1.67 thf(82,plain,((! [A:$i,B:$i]: ((a1 @ A @ B) => (a2 @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])).
% 4.40/1.67 thf(15,axiom,((cond4s @ a2 @ a1)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a1)).
% 4.40/1.67 thf(68,plain,((! [A:$i,B:$i,C:$i]: (((a2 @ A @ B) & (a1 @ B @ C)) => (a1 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])).
% 4.40/1.67 thf(12,axiom,((cond4s @ a2 @ a2)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a2)).
% 4.40/1.67 thf(62,plain,((! [A:$i,B:$i,C:$i]: (((a2 @ A @ B) & (a2 @ B @ C)) => (a2 @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])).
% 4.40/1.67 thf(25,axiom,((mvalid @ (mbox @ a1 @ (likes @ piotr @ cola)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_2)).
% 4.40/1.67 thf(90,plain,((! [A:$i,B:$i]: (~ (a1 @ A @ B) | (likes @ piotr @ cola @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])).
% 4.40/1.67 thf(38,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mforall_ind @ (^ [B:mu]: (mbox @ a3 @ (mimplies @ (mand @ (likes @ A @ B) @ (mand @ (mbox @ a1 @ (likes @ A @ B)) @ (mbox @ a2 @ (likes @ A @ B)))) @ (very_much_likes @ A @ B))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_4)).
% 4.40/1.67 thf(122,plain,((! [A:$i,B:mu,C:mu,D:$i]: (~ (a3 @ A @ D) | ~ (likes @ B @ C @ D) | ~ (! [E:$i]: (~ (a1 @ D @ E) | (likes @ B @ C @ E))) | ~ (! [E:$i]: (~ (a2 @ D @ E) | (likes @ B @ C @ E))) | (very_much_likes @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])).
% 4.40/1.67 thf(137,plain,(($false)),inference(e,[status(thm)],[101,120,56,42,60,70,128,64,76,112,48,50,72,99,114,52,110,46,78,106,84,132,116,74,92,97,44,118,54,86,66,108,130,80,58,82,68,62,90,122])).
% 4.40/1.67 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.40/1.67 % [INFO] Killing All external provers ...
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