%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL443-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n008.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 11:21:00 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL443-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 18:46:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 0.24/0.56 % Version : CSI_E---1.1
% 0.24/0.56 % Problem : theBenchmark.p
% 0.24/0.56 % Proof found!
% 0.24/0.56 # SZS status Unsatisfiable
% 0.24/0.56 % SZS output start Proof
% 0.24/0.56 cnf(cls_PropLog_Oweaken__left__insert_0, axiom, (ifeq(c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true)=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_PropLog_Oweaken__left__insert_0)).
% 0.24/0.56 cnf(cls_conjecture_0, negated_conjecture, (c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.24/0.56 cnf(ifeq_axiom, axiom, (ifeq(X1,X1,X2,X3)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ifeq_axiom)).
% 0.24/0.56 cnf(cls_conjecture_1, negated_conjecture, (c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.24/0.56 cnf(cls_PropLog_Othms_OMP_0, axiom, (ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,ifeq(c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true),true)=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_PropLog_Othms_OMP_0)).
% 0.24/0.56 cnf(cls_PropLog_Othms_OH_0, axiom, (ifeq(c_in(X1,X2,tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true)=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_PropLog_Othms_OH_0)).
% 0.24/0.56 cnf(cls_Set_OinsertCI_1, axiom, (c_in(X1,c_insert(X1,X2,X3),X3)=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_Set_OinsertCI_1)).
% 0.24/0.56 cnf(cls_conjecture_2, negated_conjecture, (c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))!=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_2)).
% 0.24/0.56 cnf(cls_PropLog_Odeduction_0, axiom, (ifeq(c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),true,c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)),true)=true), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_PropLog_Odeduction_0)).
% 0.24/0.56 cnf(c_0_9, axiom, (ifeq(c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),true)=true), cls_PropLog_Oweaken__left__insert_0).
% 0.24/0.56 cnf(c_0_10, negated_conjecture, (c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))=true), cls_conjecture_0).
% 0.24/0.56 cnf(c_0_11, axiom, (ifeq(X1,X1,X2,X3)=X2), ifeq_axiom).
% 0.24/0.56 cnf(c_0_12, negated_conjecture, (c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))=true), cls_conjecture_1).
% 0.24/0.56 cnf(c_0_13, axiom, (ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,ifeq(c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true,c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),true),true)=true), cls_PropLog_Othms_OMP_0).
% 0.24/0.56 cnf(c_0_14, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])).
% 0.24/0.56 cnf(c_0_15, axiom, (ifeq(c_in(X1,X2,tc_PropLog_Opl(X3)),true,c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),true)=true), cls_PropLog_Othms_OH_0).
% 0.24/0.56 cnf(c_0_16, axiom, (c_in(X1,c_insert(X1,X2,X3),X3)=true), cls_Set_OinsertCI_1).
% 0.24/0.56 cnf(c_0_17, negated_conjecture, (c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_12]), c_0_11])).
% 0.24/0.56 cnf(c_0_18, negated_conjecture, (ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(c_insert(X2,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true,c_in(X1,c_PropLog_Othms(c_insert(X2,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_11])).
% 0.24/0.56 cnf(c_0_19, plain, (c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_11])).
% 0.24/0.56 cnf(c_0_20, negated_conjecture, (ifeq(c_in(v_q,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true,c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true)=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_17]), c_0_11])).
% 0.24/0.56 cnf(c_0_21, negated_conjecture, (c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_11])).
% 0.24/0.56 cnf(c_0_22, negated_conjecture, (c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))!=true), inference(fof_simplification,[status(thm)],[cls_conjecture_2])).
% 0.24/0.56 cnf(c_0_23, axiom, (ifeq(c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),true,c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)),true)=true), cls_PropLog_Odeduction_0).
% 0.24/0.56 cnf(c_0_24, negated_conjecture, (c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))=true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_11])).
% 0.24/0.56 cnf(c_0_25, negated_conjecture, (c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))!=true), c_0_22).
% 0.24/0.56 cnf(c_0_26, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_11]), c_0_25]), ['proof']).
% 0.24/0.56 % SZS output end Proof
% 0.24/0.56 % User time : 0.017 s
% 0.24/0.56 % System time : 0.008 s
% 0.24/0.56 % Total time : 0.025 s
% 0.24/0.56 % User time : 0.176 s
% 0.24/0.56 % System time : 0.029 s
% 0.24/0.56 % Total time : 0.205 s
% 0.24/0.56
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