%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% 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 11:20:58 AM UTC 2026
% Result : Unsatisfiable 136.29s 136.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n018.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Fri Sep 4 17:25:02 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.13/0.41 start to proof:theBenchmark.p
% 136.29/136.47 % Version : CSI_E---1.1
% 136.29/136.47 % Problem : theBenchmark.p
% 136.29/136.47 % Proof found!
% 136.29/136.47 # SZS status Unsatisfiable
% 136.29/136.47 % SZS output start Proof
% 136.29/136.47 cnf(cls_PropLog_Ocompleteness__0__lemma__dest_0, axiom, (c_in(X1,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X1,X3,X2),c_PropLog_Ohyps(X1,X4,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2))|~c_PropLog_Osat(c_emptyset,X1,X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Ocompleteness__0__lemma__dest_0)).
% 136.29/136.47 cnf(cls_conjecture_1, negated_conjecture, (~c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_1)).
% 136.29/136.47 cnf(cls_Set_ODiff__cancel_0, axiom, (c_minus(X1,X1,tc_set(X2))=c_emptyset), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Set_ODiff__cancel_0)).
% 136.29/136.47 cnf(cls_conjecture_0, negated_conjecture, (c_PropLog_Osat(c_emptyset,v_p,t_a)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 136.29/136.47 cnf(c_0_4, plain, (c_in(X1,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X1,X3,X2),c_PropLog_Ohyps(X1,X4,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2))|~c_PropLog_Osat(c_emptyset,X1,X2)), inference(fof_simplification,[status(thm)],[cls_PropLog_Ocompleteness__0__lemma__dest_0])).
% 136.29/136.47 cnf(c_0_5, negated_conjecture, (~c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))), inference(fof_simplification,[status(thm)],[cls_conjecture_1])).
% 136.29/136.47 cnf(c_0_6, plain, (c_in(X1,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X1,X3,X2),c_PropLog_Ohyps(X1,X4,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2))|~c_PropLog_Osat(c_emptyset,X1,X2)), c_0_4).
% 136.29/136.47 cnf(c_0_7, axiom, (c_minus(X1,X1,tc_set(X2))=c_emptyset), cls_Set_ODiff__cancel_0).
% 136.29/136.47 cnf(c_0_8, negated_conjecture, (~c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))), c_0_5).
% 136.29/136.47 cnf(c_0_9, plain, (c_in(X1,c_PropLog_Othms(c_emptyset,X2),tc_PropLog_Opl(X2))|~c_PropLog_Osat(c_emptyset,X1,X2)), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 136.29/136.47 cnf(c_0_10, negated_conjecture, (c_PropLog_Osat(c_emptyset,v_p,t_a)), cls_conjecture_0).
% 136.29/136.47 cnf(c_0_11, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])]), ['proof']).
% 136.29/136.47 % SZS output end Proof
% 136.29/136.47 % User time : 0.001 s
% 136.29/136.47 % System time : 0.003 s
% 136.29/136.47 % Total time : 0.005 s
% 136.29/136.47 % User time : 0.003 s
% 136.29/136.47 % System time : 0.006 s
% 136.29/136.47 % Total time : 0.009 s
% 136.29/136.47
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