%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL441-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n027.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 11:20:59 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL441-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.36 % Computer : n027.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 08:08:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.26/0.48 start to proof:theBenchmark.p
% 0.26/0.55 % Version : CSI_E---1.1
% 0.26/0.55 % Problem : theBenchmark.p
% 0.26/0.55 % Proof found!
% 0.26/0.55 # SZS status Unsatisfiable
% 0.26/0.55 % SZS output start Proof
% 0.26/0.55 cnf(cls_conjecture_3, negated_conjecture, (~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_3)).
% 0.26/0.55 cnf(cls_PropLog_Othms_OH_0, axiom, (c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,X2,tc_PropLog_Opl(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Othms_OH_0)).
% 0.26/0.55 cnf(cls_Set_OinsertCI_1, axiom, (c_in(X1,c_insert(X1,X2,X3),X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Set_OinsertCI_1)).
% 0.26/0.55 cnf(c_0_3, negated_conjecture, (~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(fof_simplification,[status(thm)],[cls_conjecture_3])).
% 0.26/0.55 cnf(c_0_4, plain, (c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,X2,tc_PropLog_Opl(X3))), inference(fof_simplification,[status(thm)],[cls_PropLog_Othms_OH_0])).
% 0.26/0.55 cnf(c_0_5, negated_conjecture, (~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), c_0_3).
% 0.26/0.55 cnf(c_0_6, plain, (c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,X2,tc_PropLog_Opl(X3))), c_0_4).
% 0.26/0.55 cnf(c_0_7, axiom, (c_in(X1,c_insert(X1,X2,X3),X3)), cls_Set_OinsertCI_1).
% 0.26/0.55 cnf(c_0_8, negated_conjecture, (~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6]), c_0_7])])).
% 0.26/0.55 cnf(c_0_9, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_6]), c_0_7])]), ['proof']).
% 0.26/0.55 % SZS output end Proof
% 0.26/0.55 % User time : 0.004 s
% 0.26/0.55 % System time : 0.000 s
% 0.26/0.55 % Total time : 0.004 s
% 0.26/0.55 % User time : 0.005 s
% 0.26/0.55 % System time : 0.004 s
% 0.26/0.55 % Total time : 0.008 s
% 0.26/0.55
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