%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL487+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n029.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 6.25s 6.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL487+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.09/0.34 % Computer : n029.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 14:19:42 UTC 2026
% 0.09/0.34 % CPUTime :
% 6.25/6.59 % SZS status Theorem
% 6.25/6.59 % SZS output start Proof
% 6.25/6.59 tff(is_a_theorem_type, type, (
% 6.25/6.59 is_a_theorem: $i > $o)).
% 6.25/6.59 tff(implies_type, type, (
% 6.25/6.59 implies: ( $i * $i ) > $i)).
% 6.25/6.59 tff(not_type, type, (
% 6.25/6.59 not: $i > $i)).
% 6.25/6.59 tff(and_type, type, (
% 6.25/6.59 and: ( $i * $i ) > $i)).
% 6.25/6.59 tff(tptp_fun_Y_13_type, type, (
% 6.25/6.59 tptp_fun_Y_13: $i)).
% 6.25/6.59 tff(tptp_fun_X_14_type, type, (
% 6.25/6.59 tptp_fun_X_14: $i)).
% 6.25/6.59 tff(or_type, type, (
% 6.25/6.59 or: ( $i * $i ) > $i)).
% 6.25/6.59 tff(op_or_type, type, (
% 6.25/6.59 op_or: $o)).
% 6.25/6.59 tff(r3_type, type, (
% 6.25/6.59 r3: $o)).
% 6.25/6.59 tff(tptp_fun_P_48_type, type, (
% 6.25/6.59 tptp_fun_P_48: $i)).
% 6.25/6.59 tff(tptp_fun_Q_47_type, type, (
% 6.25/6.59 tptp_fun_Q_47: $i)).
% 6.25/6.59 tff(op_implies_or_type, type, (
% 6.25/6.59 op_implies_or: $o)).
% 6.25/6.59 tff(op_and_type, type, (
% 6.25/6.59 op_and: $o)).
% 6.25/6.59 tff(op_implies_and_type, type, (
% 6.25/6.59 op_implies_and: $o)).
% 6.25/6.59 tff(modus_ponens_type, type, (
% 6.25/6.59 modus_ponens: $o)).
% 6.25/6.59 tff(tptp_fun_Y_0_type, type, (
% 6.25/6.59 tptp_fun_Y_0: $i)).
% 6.25/6.59 tff(tptp_fun_X_1_type, type, (
% 6.25/6.59 tptp_fun_X_1: $i)).
% 6.25/6.59 tff(r5_type, type, (
% 6.25/6.59 r5: $o)).
% 6.25/6.59 tff(tptp_fun_R_52_type, type, (
% 6.25/6.59 tptp_fun_R_52: $i)).
% 6.25/6.59 tff(tptp_fun_P_54_type, type, (
% 6.25/6.59 tptp_fun_P_54: $i)).
% 6.25/6.59 tff(tptp_fun_Q_53_type, type, (
% 6.25/6.59 tptp_fun_Q_53: $i)).
% 6.25/6.59 tff(r2_type, type, (
% 6.25/6.59 r2: $o)).
% 6.25/6.59 tff(tptp_fun_Q_45_type, type, (
% 6.25/6.59 tptp_fun_Q_45: $i)).
% 6.25/6.59 tff(tptp_fun_P_46_type, type, (
% 6.25/6.59 tptp_fun_P_46: $i)).
% 6.25/6.59 tff(and_1_type, type, (
% 6.25/6.59 and_1: $o)).
% 6.25/6.59 tff(1,plain,
% 6.25/6.59 (op_or <=> op_or),
% 6.25/6.59 inference(rewrite,[status(thm)],[])).
% 6.25/6.59 tff(2,axiom,(op_or), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hilbert_op_or')).
% 6.25/6.59 tff(3,plain,
% 6.25/6.59 (op_or),
% 6.25/6.59 inference(modus_ponens,[status(thm)],[2, 1])).
% 6.25/6.59 tff(4,plain,
% 6.25/6.59 (((~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)))))),
% 6.25/6.59 inference(rewrite,[status(thm)],[])).
% 6.25/6.59 tff(5,plain,
% 6.25/6.59 (((~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)))))),
% 6.25/6.59 inference(rewrite,[status(thm)],[])).
% 6.25/6.59 tff(6,plain,
% 6.25/6.59 ((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)))))),
% 6.25/6.59 inference(rewrite,[status(thm)],[])).
% 6.25/6.59 tff(7,axiom,(op_or => ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax','op_or')).
% 6.25/6.59 tff(8,plain,
% 6.25/6.59 ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))),
% 6.25/6.59 inference(modus_ponens,[status(thm)],[7, 6])).
% 6.25/6.59 tff(9,plain,
% 6.25/6.59 ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))),
% 6.25/6.59 inference(modus_ponens,[status(thm)],[8, 5])).
% 6.25/6.59 tff(10,plain,
% 6.25/6.59 ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))),
% 6.25/6.59 inference(modus_ponens,[status(thm)],[9, 5])).
% 6.25/6.59 tff(11,plain,
% 6.25/6.59 ((~op_or) | ![X: $i, Y: $i] : (or(X, Y) = not(and(not(X), not(Y))))),
% 6.25/6.59 inference(modus_ponens,[status(thm)],[10, 5])).
% 6.25/6.59 Proof display could not be completed: monotonicity rule is not handled
% 6.35/6.68 % E exiting
%------------------------------------------------------------------------------