%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 : Tue Sep 29 11:49:51 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.34s
% Output : Proof 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 15:42:04 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.06/0.34
% 0.06/0.34 % SZS status Unsatisfiable
% 0.06/0.34
% 0.06/0.34 % SZS output start Proof
% 0.06/0.34 Axiom 1 (cls_conjecture_0): c_PropLog_Osat(c_emptyset, v_p, t_a) = true.
% 0.06/0.34 Axiom 2 (cls_Set_ODiff__cancel_0): c_minus(X, X, tc_set(Y)) = c_emptyset.
% 0.06/0.34 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.06/0.34 Axiom 4 (cls_PropLog_Ocompleteness__0__lemma__dest_0): ifeq(c_PropLog_Osat(c_emptyset, X, Y), true, c_in(X, c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X, Z, Y), c_PropLog_Ohyps(X, W, Y), tc_set(tc_PropLog_Opl(Y))), Y), tc_PropLog_Opl(Y)), true) = true.
% 0.06/0.34
% 0.06/0.34 Goal 1 (cls_conjecture_1): c_in(v_p, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a)) = true.
% 0.06/0.34 Proof:
% 0.06/0.34 c_in(v_p, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a))
% 0.06/0.34 = { by axiom 3 (ifeq_axiom) R->L }
% 0.06/0.34 ifeq(true, true, c_in(v_p, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a)), true)
% 0.06/0.34 = { by axiom 1 (cls_conjecture_0) R->L }
% 0.06/0.34 ifeq(c_PropLog_Osat(c_emptyset, v_p, t_a), true, c_in(v_p, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a)), true)
% 0.06/0.34 = { by axiom 2 (cls_Set_ODiff__cancel_0) R->L }
% 0.06/0.34 ifeq(c_PropLog_Osat(c_emptyset, v_p, t_a), true, c_in(v_p, c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p, X, t_a), c_PropLog_Ohyps(v_p, X, t_a), tc_set(tc_PropLog_Opl(t_a))), t_a), tc_PropLog_Opl(t_a)), true)
% 0.06/0.34 = { by axiom 4 (cls_PropLog_Ocompleteness__0__lemma__dest_0) }
% 0.06/0.34 true
% 0.06/0.34 % SZS output end Proof
% 0.06/0.34
% 0.06/0.34 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------