%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL496+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n018.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 0.13s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL496+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 6 01:21:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.46 % SZS status Theorem
% 0.13/0.46 % SZS output start Proof
% 0.13/0.46 tff(is_a_theorem_type, type, (
% 0.13/0.46 is_a_theorem: $i > $o)).
% 0.13/0.46 tff(implies_type, type, (
% 0.13/0.46 implies: ( $i * $i ) > $i)).
% 0.13/0.46 tff(or_type, type, (
% 0.13/0.46 or: ( $i * $i ) > $i)).
% 0.13/0.46 tff(tptp_fun_R_39_type, type, (
% 0.13/0.46 tptp_fun_R_39: $i)).
% 0.13/0.46 tff(tptp_fun_P_41_type, type, (
% 0.13/0.46 tptp_fun_P_41: $i)).
% 0.13/0.46 tff(tptp_fun_Q_40_type, type, (
% 0.13/0.46 tptp_fun_Q_40: $i)).
% 0.13/0.46 tff(not_type, type, (
% 0.13/0.46 not: $i > $i)).
% 0.13/0.46 tff(op_implies_or_type, type, (
% 0.13/0.46 op_implies_or: $o)).
% 0.13/0.46 tff(r4_type, type, (
% 0.13/0.46 r4: $o)).
% 0.13/0.46 tff(tptp_fun_R_50_type, type, (
% 0.13/0.46 tptp_fun_R_50: $i)).
% 0.13/0.46 tff(tptp_fun_P_52_type, type, (
% 0.13/0.46 tptp_fun_P_52: $i)).
% 0.13/0.46 tff(tptp_fun_Q_51_type, type, (
% 0.13/0.46 tptp_fun_Q_51: $i)).
% 0.13/0.46 tff(cn1_type, type, (
% 0.13/0.46 cn1: $o)).
% 0.13/0.46 tff(r5_type, type, (
% 0.13/0.46 r5: $o)).
% 0.13/0.46 tff(tptp_fun_R_53_type, type, (
% 0.13/0.46 tptp_fun_R_53: $i)).
% 0.13/0.46 tff(tptp_fun_P_55_type, type, (
% 0.13/0.46 tptp_fun_P_55: $i)).
% 0.13/0.46 tff(tptp_fun_Q_54_type, type, (
% 0.13/0.46 tptp_fun_Q_54: $i)).
% 0.13/0.46 tff(modus_ponens_type, type, (
% 0.13/0.46 modus_ponens: $o)).
% 0.13/0.46 tff(tptp_fun_Y_1_type, type, (
% 0.13/0.46 tptp_fun_Y_1: $i)).
% 0.13/0.46 tff(tptp_fun_X_2_type, type, (
% 0.13/0.46 tptp_fun_X_2: $i)).
% 0.13/0.46 tff(1,plain,
% 0.13/0.46 (op_implies_or <=> op_implies_or),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(2,axiom,(op_implies_or), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax','principia_op_implies_or')).
% 0.13/0.46 tff(3,plain,
% 0.13/0.46 (op_implies_or),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.13/0.46 tff(4,plain,
% 0.13/0.46 (((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y))) <=> ((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(5,plain,
% 0.13/0.46 (((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y))) <=> ((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(6,plain,
% 0.13/0.46 ((op_implies_or => ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y))) <=> ((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(7,axiom,(op_implies_or => ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax','op_implies_or')).
% 0.13/0.46 tff(8,plain,
% 0.13/0.46 ((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.13/0.46 tff(9,plain,
% 0.13/0.46 ((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.13/0.46 tff(10,plain,
% 0.13/0.46 ((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.13/0.46 tff(11,plain,
% 0.13/0.46 ((~op_implies_or) | ![X: $i, Y: $i] : (implies(X, Y) = or(not(X), Y))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[10, 5])).
% 0.13/0.46 Proof display could not be completed: monotonicity rule is not handled
% 0.24/0.47 % E exiting
%------------------------------------------------------------------------------