%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : AGT028^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n009.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 07:44:34 AM UTC 2026
% Result : Theorem 9.04s 2.65s
% Output : Refutation 9.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT028^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.09/0.22 % Computer : n009.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 17:29:38 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.66/0.57 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.75 % [INFO] Parsing done (178ms).
% 1.21/0.76 % [INFO] Running in sequential loop mode.
% 2.06/0.97 % [INFO] eprover registered as external prover.
% 2.06/0.97 % [INFO] Scanning for conjecture ...
% 2.40/1.08 % [INFO] Found a conjecture (or negated_conjecture) and 66 axioms. Running axiom selection ...
% 2.72/1.13 % [INFO] Axiom selection finished. Selected 66 axioms (removed 0 axioms).
% 2.72/1.17 % [INFO] Problem is higher-order (TPTP THF).
% 2.72/1.17 % [INFO] Type checking passed.
% 2.72/1.17 % [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 ...
% 9.04/2.65 % External prover 'e' found a proof!
% 9.04/2.65 % [INFO] Killing All external provers ...
% 9.04/2.65 % Time passed: 2291ms (effective reasoning time: 1885ms)
% 9.04/2.65 % 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)>
% 9.04/2.65 % Axioms used in derivation (66): axiom_I_for_r4_r1, axiom_4s_for_r1_r1, axiom_4s_for_r5_r1, axiom_r4_4, axiom_4s_for_r3_r1, axiom_4s_for_r5_r2, axiom_4s_for_r3_r2, axiom_4s_for_r3_r4, axiom_5_for_r5, axiom_r2_3, axiom_I_for_r45r1, axiom_D_for_r5, axiom_I_for_r5_r3, axiom_4s_for_r4_r3, axiom_4s_for_r5_r5, axiom_r3_1, axiom_D_for_r2, axiom_r4_2, axiom_4s_for_r5_r4, axiom_4s_for_r4_r2, axiom_4s_for_r1_r4, axiom_4s_for_r2_r1, axiom_4s_for_r3_r3, axiom_4s_for_r4_r4, axiom_4s_for_r2_r5, axiom_r3_5, axiom_I_for_r4_r2, axiom_D_for_r4, axiom_I_for_r2_r1, axiom_4s_for_r2_r2, axiom_r1, axiom_a6, axiom_I_for_r3_r1, axiom_r2_2, axiom_I_for_r5_r4, axiom_r4_1, axiom_4s_for_r5_r3, axiom_r2_5, axiom_r3_4, axiom_5_for_r3, axiom_5_for_r2, axiom_I_for_r4_r3, axiom_r5, axiom_4s_for_r1_r5, axiom_D_for_r3, axiom_a7, axiom_a8, axiom_4s_for_r1_r2, axiom_r4_5, axiom_I_for_r3_r2, axiom_4s_for_r2_r4, axiom_4s_for_r3_r5, axiom_r2_1, axiom_5_for_r4, axiom_r3_2, axiom_r2_4, axiom_5_for_r1, axiom_4s_for_r2_r3, axiom_I_for_r5_r2, axiom_r4_3, axiom_4s_for_r4_r5, axiom_4s_for_r1_r3, axiom_r3_3, axiom_4s_for_r4_r1, axiom_D_for_r1, axiom_a9
% 9.04/2.65 % No. of inferences in proof: 136
% 9.04/2.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2291 ms resp. 1885 ms w/o parsing
% 9.60/2.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.60/2.79 thf(mu_type, type, mu: $tType).
% 9.60/2.79 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 9.60/2.79 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 9.60/2.79 thf(mimplies_decl, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
% 9.60/2.79 thf(mforall_ind_decl, type, mforall_ind: ((mu > ($i > $o)) > ($i > $o))).
% 9.60/2.79 thf(mforall_prop_decl, type, mforall_prop: ((($i > $o) > ($i > $o)) > ($i > $o))).
% 9.60/2.79 thf(mexists_ind_decl, type, mexists_ind: ((mu > ($i > $o)) > ($i > $o))).
% 9.60/2.79 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 9.60/2.79 thf(mdia_decl, type, mdia: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 9.60/2.79 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 9.60/2.79 thf(r1_decl, type, r1: ($i > ($i > $o))).
% 9.60/2.79 thf(r2_decl, type, r2: ($i > ($i > $o))).
% 9.60/2.79 thf(r3_decl, type, r3: ($i > ($i > $o))).
% 9.60/2.79 thf(r4_decl, type, r4: ($i > ($i > $o))).
% 9.60/2.79 thf(r5_decl, type, r5: ($i > ($i > $o))).
% 9.60/2.79 thf(john_decl, type, john: mu).
% 9.60/2.79 thf(tom_decl, type, tom: mu).
% 9.60/2.79 thf(peter_decl, type, peter: mu).
% 9.60/2.79 thf(mike_decl, type, mike: mu).
% 9.60/2.79 thf(good_in_maths_decl, type, good_in_maths: (mu > ($i > $o))).
% 9.60/2.79 thf(maths_teacher_decl, type, maths_teacher: (mu > ($i > $o))).
% 9.60/2.79 thf(mathematician_decl, type, mathematician: (mu > ($i > $o))).
% 9.60/2.79 thf(maths_student_decl, type, maths_student: (mu > ($i > $o))).
% 9.60/2.79 thf(good_in_physics_decl, type, good_in_physics: (mu > ($i > $o))).
% 9.60/2.79 thf(physics_student_decl, type, physics_student: (mu > ($i > $o))).
% 9.60/2.79 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 9.60/2.79 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 9.60/2.79 thf(mimplies_def, definition, mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 9.60/2.79 thf(mforall_ind_def, definition, mforall_ind = (^ [A:(mu > ($i > $o)),B:$i]: ! [C:mu]: (A @ C @ B)) ).
% 9.60/2.79 thf(mforall_prop_def, definition, mforall_prop = (^ [A:(($i > $o) > ($i > $o)),B:$i]: ! [C:($i > $o)]: (A @ C @ B)) ).
% 9.60/2.79 thf(mexists_ind_def, definition, mexists_ind = (^ [A:(mu > ($i > $o))]: (mnot @ (mforall_ind @ (^ [B:mu]: (mnot @ (A @ B)))))) ).
% 9.60/2.79 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: (~ (A @ C @ D) | (B @ D))) ).
% 9.60/2.79 thf(mdia_def, definition, mdia = (^ [A:($i > ($i > $o)),B:($i > $o)]: (mnot @ (mbox @ A @ (mnot @ B)))) ).
% 9.60/2.79 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 9.60/2.79 thf(1,conjecture,((mvalid @ (mexists_ind @ (^ [A:mu]: (mbox @ r4 @ (good_in_maths @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 9.60/2.79 thf(2,negated_conjecture,((~ (mvalid @ (mexists_ind @ (^ [A:mu]: (mbox @ r4 @ (good_in_maths @ A))))))),inference(neg_conjecture,[status(cth)],[1])).
% 9.60/2.79 thf(69,plain,((~ (! [A:$i]: ~ (! [B:mu]: ~ (! [C:$i]: (~ (r4 @ A @ C) | (good_in_maths @ B @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 9.60/2.79 thf(20,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mbox @ r2 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r2)).
% 9.60/2.79 thf(174,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r2 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])).
% 9.60/2.79 thf(12,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (physics_student @ A) @ (mdia @ r1 @ (good_in_physics @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_1)).
% 9.60/2.79 thf(128,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (physics_student @ B @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | ~ (good_in_physics @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])).
% 9.60/2.79 thf(63,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r1 @ A) @ (mbox @ r2 @ (mbox @ r1 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r2)).
% 9.60/2.79 thf(402,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r1 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r2 @ A @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])).
% 9.60/2.79 thf(51,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r5 @ (mimplies @ (mbox @ r1 @ (mathematician @ A)) @ (mbox @ r1 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_1)).
% 9.60/2.79 thf(342,plain,((! [A:$i,B:mu,C:$i]: (~ (r5 @ A @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | (mathematician @ B @ D))) | ! [D:$i]: (~ (r1 @ C @ D) | (good_in_maths @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])).
% 9.60/2.79 thf(57,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r1 @ (mbox @ r5 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r1)).
% 9.60/2.79 thf(370,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | ! [D:$i]: (~ (r5 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])).
% 9.60/2.79 thf(49,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (physics_student @ A) @ (mdia @ r4 @ (good_in_physics @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_4)).
% 9.60/2.79 thf(332,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (physics_student @ B @ C) | ~ (! [D:$i]: (~ (r4 @ C @ D) | ~ (good_in_physics @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])).
% 9.60/2.79 thf(64,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (physics_student @ A) @ (mdia @ r3 @ (good_in_physics @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_3)).
% 9.60/2.79 thf(408,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (physics_student @ B @ C) | ~ (! [D:$i]: (~ (r3 @ C @ D) | ~ (good_in_physics @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])).
% 9.60/2.79 thf(39,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mnot @ (mbox @ r5 @ (mnot @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r5)).
% 9.60/2.79 thf(276,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ~ (! [C:$i]: (~ (r5 @ A @ C) | ~ (B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])).
% 9.60/2.79 thf(60,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r3 @ A) @ (mbox @ r2 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r3_r2)).
% 9.60/2.79 thf(384,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r3 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r2 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])).
% 9.60/2.79 thf(15,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r3 @ A) @ (mbox @ r3 @ (mbox @ r3 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r3)).
% 9.60/2.79 thf(142,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r3 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r3 @ A @ C) | ! [D:$i]: (~ (r3 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])).
% 9.60/2.79 thf(22,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r1 @ A) @ (mbox @ r5 @ (mbox @ r1 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r5)).
% 9.60/2.79 thf(184,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r1 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r5 @ A @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])).
% 9.60/2.79 thf(9,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r1 @ A) @ (mbox @ r4 @ (mbox @ r1 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r4)).
% 9.60/2.79 thf(110,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r1 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r4 @ A @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
% 9.60/2.79 thf(40,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r4 @ (mbox @ r5 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r4)).
% 9.60/2.79 thf(284,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r4 @ A @ C) | ! [D:$i]: (~ (r5 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])).
% 9.60/2.79 thf(46,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mbox @ r1 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r1)).
% 9.60/2.79 thf(316,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])).
% 9.60/2.79 thf(4,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r1 @ A) @ (mbox @ r3 @ (mbox @ r1 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r3)).
% 9.60/2.79 thf(78,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r1 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r3 @ A @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
% 9.60/2.79 thf(58,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r2 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r2)).
% 9.60/2.79 thf(376,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r2 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])).
% 9.60/2.79 thf(5,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r2 @ A) @ (mnot @ (mbox @ r2 @ (mnot @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r2)).
% 9.60/2.79 thf(84,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r2 @ A @ C) | (B @ C))) | ~ (! [C:$i]: (~ (r2 @ A @ C) | ~ (B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
% 9.60/2.79 thf(13,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (maths_student @ A) @ (mdia @ r3 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_3)).
% 9.60/2.79 thf(132,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (maths_student @ B @ C) | ~ (! [D:$i]: (~ (r3 @ C @ D) | ~ (good_in_maths @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])).
% 9.60/2.79 thf(62,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r2 @ (mbox @ r5 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r2)).
% 9.60/2.79 thf(396,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r2 @ A @ C) | ! [D:$i]: (~ (r5 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])).
% 9.60/2.79 thf(10,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mbox @ r1 @ (mbox @ r4 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r1)).
% 9.60/2.79 thf(116,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | ! [D:$i]: (~ (r4 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])).
% 9.60/2.79 thf(3,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r2 @ (mimplies @ (good_in_physics @ A) @ (mdia @ r2 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r5)).
% 9.60/2.79 thf(74,plain,((! [A:$i,B:mu,C:$i]: (~ (r2 @ A @ C) | ~ (good_in_physics @ B @ C) | ~ (! [D:$i]: (~ (r2 @ C @ D) | ~ (good_in_maths @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
% 9.60/2.79 thf(26,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r2 @ A) @ (mbox @ r1 @ (mbox @ r2 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r1)).
% 9.60/2.79 thf(206,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r2 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | ! [D:$i]: (~ (r2 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])).
% 9.60/2.79 thf(18,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mnot @ (mbox @ r4 @ (mnot @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r4)).
% 9.60/2.79 thf(160,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ~ (! [C:$i]: (~ (r4 @ A @ C) | ~ (B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])).
% 9.60/2.79 thf(68,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r5 @ (mimplies @ (mbox @ r4 @ (mathematician @ A)) @ (mbox @ r4 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_4)).
% 9.60/2.79 thf(424,plain,((! [A:$i,B:mu,C:$i]: (~ (r5 @ A @ C) | ~ (! [D:$i]: (~ (r4 @ C @ D) | (mathematician @ B @ D))) | ! [D:$i]: (~ (r4 @ C @ D) | (good_in_maths @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])).
% 9.60/2.79 thf(24,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mbox @ r4 @ (mbox @ r4 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r4)).
% 9.60/2.79 thf(192,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r4 @ A @ C) | ! [D:$i]: (~ (r4 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])).
% 9.60/2.79 thf(6,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mbox @ r2 @ (mbox @ r4 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r2)).
% 9.60/2.79 thf(92,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r2 @ A @ C) | ! [D:$i]: (~ (r4 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
% 9.60/2.79 thf(34,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mbox @ r3 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r3)).
% 9.60/2.79 thf(252,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r3 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])).
% 9.60/2.79 thf(29,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r1 @ A) @ (mbox @ r1 @ (mbox @ r1 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r1)).
% 9.60/2.79 thf(224,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r1 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | ! [D:$i]: (~ (r1 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])).
% 9.60/2.79 thf(48,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (maths_student @ A) @ (mdia @ r5 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_5)).
% 9.60/2.79 thf(328,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (maths_student @ B @ C) | ~ (! [D:$i]: (~ (r5 @ C @ D) | ~ (good_in_maths @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])).
% 9.60/2.79 thf(27,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r2 @ A) @ (mbox @ r3 @ (mbox @ r2 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r3)).
% 9.60/2.79 thf(212,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r2 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r3 @ A @ C) | ! [D:$i]: (~ (r2 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])).
% 9.60/2.79 thf(65,axiom,((mvalid @ (mbox @ r5 @ (maths_student @ peter)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a8)).
% 9.60/2.79 thf(412,plain,((! [A:$i,B:$i]: (~ (r5 @ A @ B) | (maths_student @ peter @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])).
% 9.60/2.79 thf(16,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r3 @ A) @ (mbox @ r1 @ (mbox @ r3 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r1)).
% 9.60/2.79 thf(148,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r3 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | ! [D:$i]: (~ (r3 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])).
% 9.60/2.79 thf(21,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r5 @ (mimplies @ (mbox @ r2 @ (mathematician @ A)) @ (mbox @ r2 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_2)).
% 9.60/2.79 thf(180,plain,((! [A:$i,B:mu,C:$i]: (~ (r5 @ A @ C) | ~ (! [D:$i]: (~ (r2 @ C @ D) | (mathematician @ B @ D))) | ! [D:$i]: (~ (r2 @ C @ D) | (good_in_maths @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])).
% 9.60/2.79 thf(59,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mimplies @ (maths_teacher @ A) @ (mbox @ r4 @ (good_in_maths @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r1)).
% 9.60/2.79 thf(382,plain,((! [A:$i,B:mu]: (~ (maths_teacher @ B @ A) | ! [C:$i]: (~ (r4 @ A @ C) | (good_in_maths @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])).
% 9.60/2.79 thf(53,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r5 @ (mimplies @ (mbox @ r3 @ (mathematician @ A)) @ (mbox @ r3 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_3)).
% 9.60/2.79 thf(350,plain,((! [A:$i,B:mu,C:$i]: (~ (r5 @ A @ C) | ~ (! [D:$i]: (~ (r3 @ C @ D) | (mathematician @ B @ D))) | ! [D:$i]: (~ (r3 @ C @ D) | (good_in_maths @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])).
% 9.60/2.79 thf(38,axiom,((mvalid @ (mbox @ r5 @ (physics_student @ mike)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a9)).
% 9.60/2.79 thf(274,plain,((! [A:$i,B:$i]: (~ (r5 @ A @ B) | (physics_student @ mike @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])).
% 9.60/2.79 thf(30,axiom,((mvalid @ (maths_teacher @ john))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a6)).
% 9.60/2.79 thf(230,plain,((! [A:$i]: (maths_teacher @ john @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])).
% 9.60/2.79 thf(7,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r2 @ A) @ (mbox @ r2 @ (mbox @ r2 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r2)).
% 9.60/2.79 thf(98,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r2 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r2 @ A @ C) | ! [D:$i]: (~ (r2 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
% 9.60/2.79 thf(32,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mnot @ (mbox @ r5 @ A)) @ (mbox @ r5 @ (mnot @ (mbox @ r5 @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r5)).
% 9.60/2.79 thf(240,plain,((! [A:$i,B:($i > $o)]: (! [C:$i]: (~ (r5 @ A @ C) | (B @ C)) | ! [C:$i]: (~ (r5 @ A @ C) | ~ (! [D:$i]: (~ (r5 @ C @ D) | (B @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])).
% 9.60/2.79 thf(25,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r1 @ A) @ (mnot @ (mbox @ r1 @ (mnot @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r1)).
% 9.60/2.79 thf(198,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r1 @ A @ C) | (B @ C))) | ~ (! [C:$i]: (~ (r1 @ A @ C) | ~ (B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])).
% 9.60/2.79 thf(66,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (maths_student @ A) @ (mdia @ r4 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_4)).
% 9.60/2.79 thf(414,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (maths_student @ B @ C) | ~ (! [D:$i]: (~ (r4 @ C @ D) | ~ (good_in_maths @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])).
% 9.60/2.79 thf(45,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mnot @ (mbox @ r1 @ A)) @ (mbox @ r1 @ (mnot @ (mbox @ r1 @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r1)).
% 9.60/2.79 thf(310,plain,((! [A:$i,B:($i > $o)]: (! [C:$i]: (~ (r1 @ A @ C) | (B @ C)) | ! [C:$i]: (~ (r1 @ A @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | (B @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])).
% 9.60/2.79 thf(50,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r3 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r3)).
% 9.60/2.79 thf(336,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r3 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])).
% 9.60/2.79 thf(17,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mbox @ r5 @ (mbox @ r4 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r5)).
% 9.60/2.79 thf(154,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r5 @ A @ C) | ! [D:$i]: (~ (r4 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])).
% 9.60/2.79 thf(28,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r3 @ A) @ (mbox @ r5 @ (mbox @ r3 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r5)).
% 9.60/2.79 thf(218,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r3 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r5 @ A @ C) | ! [D:$i]: (~ (r3 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])).
% 9.60/2.79 thf(8,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mnot @ (mbox @ r2 @ A)) @ (mbox @ r2 @ (mnot @ (mbox @ r2 @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r2)).
% 9.60/2.79 thf(104,plain,((! [A:$i,B:($i > $o)]: (! [C:$i]: (~ (r2 @ A @ C) | (B @ C)) | ! [C:$i]: (~ (r2 @ A @ C) | ~ (! [D:$i]: (~ (r2 @ C @ D) | (B @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
% 9.60/2.79 thf(44,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r2 @ A) @ (mbox @ r5 @ (mbox @ r2 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r5)).
% 9.60/2.79 thf(304,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r2 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r5 @ A @ C) | ! [D:$i]: (~ (r2 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])).
% 9.60/2.79 thf(35,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (maths_student @ A) @ (mdia @ r1 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_1)).
% 9.60/2.79 thf(258,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (maths_student @ B @ C) | ~ (! [D:$i]: (~ (r1 @ C @ D) | ~ (good_in_maths @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])).
% 9.60/2.79 thf(61,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mnot @ (mbox @ r3 @ A)) @ (mbox @ r3 @ (mnot @ (mbox @ r3 @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r3)).
% 9.60/2.79 thf(390,plain,((! [A:$i,B:($i > $o)]: (! [C:$i]: (~ (r3 @ A @ C) | (B @ C)) | ! [C:$i]: (~ (r3 @ A @ C) | ~ (! [D:$i]: (~ (r3 @ C @ D) | (B @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])).
% 9.60/2.79 thf(67,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r3 @ A) @ (mbox @ r1 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r3_r1)).
% 9.60/2.79 thf(418,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r3 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])).
% 9.60/2.79 thf(41,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (physics_student @ A) @ (mdia @ r5 @ (good_in_physics @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_5)).
% 9.60/2.79 thf(290,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (physics_student @ B @ C) | ~ (! [D:$i]: (~ (r5 @ C @ D) | ~ (good_in_physics @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])).
% 9.60/2.79 thf(33,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r2 @ A) @ (mbox @ r1 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r2_r1)).
% 9.60/2.79 thf(246,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r2 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])).
% 9.60/2.79 thf(52,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (maths_student @ A) @ (mdia @ r2 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_2)).
% 9.60/2.79 thf(346,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (maths_student @ B @ C) | ~ (! [D:$i]: (~ (r2 @ C @ D) | ~ (good_in_maths @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])).
% 9.60/2.79 thf(43,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r3 @ (mimplies @ (physics_student @ A) @ (mdia @ r2 @ (good_in_physics @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_2)).
% 9.60/2.79 thf(300,plain,((! [A:$i,B:mu,C:$i]: (~ (r3 @ A @ C) | ~ (physics_student @ B @ C) | ~ (! [D:$i]: (~ (r2 @ C @ D) | ~ (good_in_physics @ B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])).
% 9.60/2.79 thf(23,axiom,((mvalid @ (mbox @ r2 @ (mathematician @ tom)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a7)).
% 9.60/2.79 thf(190,plain,((! [A:$i,B:$i]: (~ (r2 @ A @ B) | (mathematician @ tom @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])).
% 9.60/2.79 thf(19,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r2 @ A) @ (mbox @ r4 @ (mbox @ r2 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r4)).
% 9.60/2.79 thf(168,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r2 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r4 @ A @ C) | ! [D:$i]: (~ (r2 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])).
% 9.60/2.79 thf(36,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r5 @ (mbox @ r5 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r5)).
% 9.60/2.79 thf(262,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r5 @ A @ C) | ! [D:$i]: (~ (r5 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])).
% 9.60/2.79 thf(37,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r1 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r45r1)).
% 9.60/2.79 thf(268,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r1 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])).
% 9.60/2.79 thf(55,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r3 @ A) @ (mbox @ r4 @ (mbox @ r3 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r4)).
% 9.60/2.79 thf(358,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r3 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r4 @ A @ C) | ! [D:$i]: (~ (r3 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])).
% 9.60/2.79 thf(42,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r4 @ A) @ (mbox @ r3 @ (mbox @ r4 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r3)).
% 9.60/2.79 thf(294,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r4 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r3 @ A @ C) | ! [D:$i]: (~ (r4 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])).
% 9.60/2.79 thf(14,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r4 @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r4)).
% 9.60/2.79 thf(136,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r4 @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])).
% 9.60/2.79 thf(47,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r3 @ A) @ (mbox @ r2 @ (mbox @ r3 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r2)).
% 9.60/2.79 thf(322,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r3 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r2 @ A @ C) | ! [D:$i]: (~ (r3 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])).
% 9.60/2.79 thf(11,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r5 @ A) @ (mbox @ r3 @ (mbox @ r5 @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r3)).
% 9.60/2.79 thf(122,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r5 @ A @ C) | (B @ C))) | ! [C:$i]: (~ (r3 @ A @ C) | ! [D:$i]: (~ (r5 @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])).
% 9.60/2.79 thf(54,axiom,((mvalid @ (mforall_ind @ (^ [A:mu]: (mbox @ r5 @ (mimplies @ (mbox @ r5 @ (mathematician @ A)) @ (mbox @ r5 @ (good_in_maths @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_5)).
% 9.60/2.79 thf(354,plain,((! [A:$i,B:mu,C:$i]: (~ (r5 @ A @ C) | ~ (! [D:$i]: (~ (r5 @ C @ D) | (mathematician @ B @ D))) | ! [D:$i]: (~ (r5 @ C @ D) | (good_in_maths @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])).
% 9.60/2.79 thf(56,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mnot @ (mbox @ r4 @ A)) @ (mbox @ r4 @ (mnot @ (mbox @ r4 @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r4)).
% 9.60/2.79 thf(364,plain,((! [A:$i,B:($i > $o)]: (! [C:$i]: (~ (r4 @ A @ C) | (B @ C)) | ! [C:$i]: (~ (r4 @ A @ C) | ~ (! [D:$i]: (~ (r4 @ C @ D) | (B @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])).
% 9.60/2.79 thf(31,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ r3 @ A) @ (mnot @ (mbox @ r3 @ (mnot @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r3)).
% 9.60/2.79 thf(232,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (r3 @ A @ C) | (B @ C))) | ~ (! [C:$i]: (~ (r3 @ A @ C) | ~ (B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])).
% 9.60/2.79 thf(428,plain,(($false)),inference(e,[status(thm)],[69,174,128,402,342,370,332,408,276,384,142,184,110,284,316,78,376,84,132,396,116,74,206,160,424,192,92,252,224,328,212,412,148,180,382,350,274,230,98,240,198,414,310,336,154,218,104,304,258,390,418,290,246,346,300,190,168,262,268,358,294,136,322,122,354,364,232])).
% 9.60/2.79 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.60/2.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------