%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL439-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% 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 : Mon Sep 7 11:20:59 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL439-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.01 % Command : java -jar mcs_scs.jar %d %s
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Fri Sep 4 23:02:12 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.08/0.35 start to proof:theBenchmark.p
% 0.08/0.40 % Version : CSI_E---1.1
% 0.08/0.40 % Problem : theBenchmark.p
% 0.08/0.40 % Proof found!
% 0.08/0.40 # SZS status Unsatisfiable
% 0.08/0.40 % SZS output start Proof
% 0.08/0.40 cnf(cls_PropLog_Othms__notE_0, axiom, (c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_PropLog_Othms__notE_0)).
% 0.08/0.40 cnf(cls_PropLog_Oweaken__left__insert_0, axiom, (c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_PropLog_Oweaken__left__insert_0)).
% 0.08/0.40 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/sandbox2/benchmark/Axioms/LCL005-0.ax', cls_PropLog_Othms_OH_0)).
% 0.08/0.40 cnf(cls_conjecture_1, negated_conjecture, (~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.08/0.40 cnf(cls_PropLog_Odeduction_0, axiom, (c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))|~c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_PropLog_Odeduction_0)).
% 0.08/0.40 cnf(cls_conjecture_0, negated_conjecture, (c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.08/0.40 cnf(cls_Set_OinsertCI_1, axiom, (c_in(X1,c_insert(X1,X2,X3),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax', cls_Set_OinsertCI_1)).
% 0.08/0.40 cnf(c_0_7, plain, (c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), inference(fof_simplification,[status(thm)],[cls_PropLog_Othms__notE_0])).
% 0.08/0.40 cnf(c_0_8, plain, (c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), inference(fof_simplification,[status(thm)],[cls_PropLog_Oweaken__left__insert_0])).
% 0.08/0.40 cnf(c_0_9, plain, (c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), c_0_7).
% 0.08/0.40 cnf(c_0_10, plain, (c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), c_0_8).
% 0.08/0.40 cnf(c_0_11, 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])).
% 0.08/0.40 cnf(c_0_12, negated_conjecture, (~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), inference(fof_simplification,[status(thm)],[cls_conjecture_1])).
% 0.08/0.40 cnf(c_0_13, plain, (c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))|~c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))), inference(fof_simplification,[status(thm)],[cls_PropLog_Odeduction_0])).
% 0.08/0.40 cnf(c_0_14, plain, (c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))|~c_in(X5,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))|~c_in(c_PropLog_Opl_Oop_A_N_62(X5,c_PropLog_Opl_Ofalse,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 0.08/0.40 cnf(c_0_15, plain, (c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,X2,tc_PropLog_Opl(X3))), c_0_11).
% 0.08/0.40 cnf(c_0_16, negated_conjecture, (~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), c_0_12).
% 0.08/0.40 cnf(c_0_17, plain, (c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))|~c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))), c_0_13).
% 0.08/0.40 cnf(c_0_18, plain, (c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))|~c_in(c_PropLog_Opl_Oop_A_N_62(X5,c_PropLog_Opl_Ofalse,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))|~c_in(X5,c_insert(X2,X3,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.08/0.40 cnf(c_0_19, negated_conjecture, (c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), cls_conjecture_0).
% 0.08/0.40 cnf(c_0_20, negated_conjecture, (~c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.08/0.40 cnf(c_0_21, negated_conjecture, (c_in(X1,c_PropLog_Othms(c_insert(X2,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_in(v_p,c_insert(X2,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 0.08/0.40 cnf(c_0_22, axiom, (c_in(X1,c_insert(X1,X2,X3),X3)), cls_Set_OinsertCI_1).
% 0.08/0.40 cnf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])]), ['proof']).
% 0.08/0.40 % SZS output end Proof
% 0.08/0.40 % User time : 0.017 s
% 0.08/0.40 % System time : 0.001 s
% 0.08/0.40 % Total time : 0.018 s
% 0.08/0.40 % User time : 0.027 s
% 0.08/0.40 % System time : 0.003 s
% 0.08/0.40 % Total time : 0.030 s
% 0.08/0.40
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