%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL497+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n014.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 : Mon Sep 7 03:00:08 PM UTC 2026
% Result : Theorem 43.97s 44.28s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL497+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 12:09:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 43.97/44.28 % SZS status Theorem
% 43.97/44.28 % SZS output start Proof
% 43.97/44.28 tff(is_a_theorem_type, type, (
% 43.97/44.28 is_a_theorem: $i > $o)).
% 43.97/44.28 tff(implies_type, type, (
% 43.97/44.28 implies: ( $i * $i ) > $i)).
% 43.97/44.28 tff(not_type, type, (
% 43.97/44.28 not: $i > $i)).
% 43.97/44.28 tff(and_type, type, (
% 43.97/44.28 and: ( $i * $i ) > $i)).
% 43.97/44.28 tff(or_type, type, (
% 43.97/44.28 or: ( $i * $i ) > $i)).
% 43.97/44.28 tff(tptp_fun_Q_42_type, type, (
% 43.97/44.28 tptp_fun_Q_42: $i)).
% 43.97/44.28 tff(tptp_fun_P_43_type, type, (
% 43.97/44.28 tptp_fun_P_43: $i)).
% 43.97/44.28 tff(op_or_type, type, (
% 43.97/44.28 op_or: $o)).
% 43.97/44.28 tff(op_implies_or_type, type, (
% 43.97/44.28 op_implies_or: $o)).
% 43.97/44.28 tff(r5_type, type, (
% 43.97/44.28 r5: $o)).
% 43.97/44.28 tff(tptp_fun_R_53_type, type, (
% 43.97/44.28 tptp_fun_R_53: $i)).
% 43.97/44.28 tff(tptp_fun_P_55_type, type, (
% 43.97/44.28 tptp_fun_P_55: $i)).
% 43.97/44.28 tff(tptp_fun_Q_54_type, type, (
% 43.97/44.28 tptp_fun_Q_54: $i)).
% 43.97/44.28 tff(r3_type, type, (
% 43.97/44.28 r3: $o)).
% 43.97/44.28 tff(tptp_fun_P_49_type, type, (
% 43.97/44.28 tptp_fun_P_49: $i)).
% 43.97/44.28 tff(tptp_fun_Q_48_type, type, (
% 43.97/44.28 tptp_fun_Q_48: $i)).
% 43.97/44.28 tff(modus_ponens_type, type, (
% 43.97/44.28 modus_ponens: $o)).
% 43.97/44.28 tff(tptp_fun_Y_1_type, type, (
% 43.97/44.28 tptp_fun_Y_1: $i)).
% 43.97/44.28 tff(tptp_fun_X_2_type, type, (
% 43.97/44.28 tptp_fun_X_2: $i)).
% 43.97/44.28 tff(r2_type, type, (
% 43.97/44.28 r2: $o)).
% 43.97/44.28 tff(tptp_fun_Q_46_type, type, (
% 43.97/44.28 tptp_fun_Q_46: $i)).
% 43.97/44.28 tff(tptp_fun_P_47_type, type, (
% 43.97/44.28 tptp_fun_P_47: $i)).
% 43.97/44.28 tff(r4_type, type, (
% 43.97/44.28 r4: $o)).
% 43.97/44.28 tff(tptp_fun_R_50_type, type, (
% 43.97/44.28 tptp_fun_R_50: $i)).
% 43.97/44.28 tff(tptp_fun_P_52_type, type, (
% 43.97/44.28 tptp_fun_P_52: $i)).
% 43.97/44.28 tff(tptp_fun_Q_51_type, type, (
% 43.97/44.28 tptp_fun_Q_51: $i)).
% 43.97/44.28 tff(cn2_type, type, (
% 43.97/44.28 cn2: $o)).
% 43.97/44.28 tff(1,plain,
% 43.97/44.28 (op_or <=> op_or),
% 43.97/44.28 inference(rewrite,[status(thm)],[])).
% 43.97/44.28 tff(2,axiom,(op_or), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','luka_op_or')).
% 43.97/44.28 tff(3,plain,
% 43.97/44.28 (op_or),
% 43.97/44.28 inference(modus_ponens,[status(thm)],[2, 1])).
% 43.97/44.28 tff(4,plain,
% 43.97/44.28 (((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))) <=> ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y)))))),
% 43.97/44.28 inference(rewrite,[status(thm)],[])).
% 43.97/44.28 tff(5,plain,
% 43.97/44.28 (((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))) <=> ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y)))))),
% 43.97/44.28 inference(rewrite,[status(thm)],[])).
% 43.97/44.28 tff(6,plain,
% 43.97/44.28 ((op_or => ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))) <=> ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y)))))),
% 43.97/44.28 inference(rewrite,[status(thm)],[])).
% 43.97/44.28 tff(7,axiom,(op_or => ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax','op_or')).
% 43.97/44.28 tff(8,plain,
% 43.97/44.28 ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))),
% 43.97/44.28 inference(modus_ponens,[status(thm)],[7, 6])).
% 43.97/44.28 tff(9,plain,
% 43.97/44.28 ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))),
% 43.97/44.28 inference(modus_ponens,[status(thm)],[8, 5])).
% 43.97/44.28 tff(10,plain,
% 43.97/44.28 ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))),
% 43.97/44.28 inference(modus_ponens,[status(thm)],[9, 5])).
% 43.97/44.28 tff(11,plain,
% 43.97/44.28 ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))),
% 43.97/44.28 inference(modus_ponens,[status(thm)],[10, 5])).
% 43.97/44.28 Proof display could not be completed: monotonicity rule is not handled
% 0.15/44.68 % E exiting
%------------------------------------------------------------------------------