%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n007.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 0.37s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.04/0.32 % Computer : n007.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Sat Sep 5 09:08:24 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.10/0.44 start to proof:theBenchmark.p
% 0.37/0.51 % Version : CSI_E---1.1
% 0.37/0.51 % Problem : theBenchmark.p
% 0.37/0.51 % Proof found!
% 0.37/0.51 # SZS status Unsatisfiable
% 0.37/0.51 % SZS output start Proof
% 0.37/0.51 cnf(cls_PropLog_Othms_OMP_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,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Othms_OMP_0)).
% 0.37/0.51 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/sandbox/benchmark/theBenchmark.p', cls_PropLog_Oweaken__left__insert_0)).
% 0.37/0.51 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)).
% 0.37/0.51 cnf(cls_conjecture_4, negated_conjecture, (c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))|~c_PropLog_Osat(v_F,X1,t_a)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_4)).
% 0.37/0.51 cnf(cls_conjecture_3, negated_conjecture, (~c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_3)).
% 0.37/0.51 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)).
% 0.37/0.51 cnf(cls_PropLog_Osat__imp_0, axiom, (c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3)|~c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Osat__imp_0)).
% 0.37/0.51 cnf(cls_conjecture_2, negated_conjecture, (c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_2)).
% 0.37/0.51 cnf(c_0_8, 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,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), inference(fof_simplification,[status(thm)],[cls_PropLog_Othms_OMP_0])).
% 0.37/0.51 cnf(c_0_9, 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])).
% 0.37/0.51 cnf(c_0_10, 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,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))), c_0_8).
% 0.37/0.51 cnf(c_0_11, 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_9).
% 0.37/0.51 cnf(c_0_12, 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])).
% 0.37/0.51 cnf(c_0_13, 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,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.37/0.51 cnf(c_0_14, plain, (c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,X2,tc_PropLog_Opl(X3))), c_0_12).
% 0.37/0.51 cnf(c_0_15, negated_conjecture, (c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))|~c_PropLog_Osat(v_F,X1,t_a)), inference(fof_simplification,[status(thm)],[cls_conjecture_4])).
% 0.37/0.51 cnf(c_0_16, 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,X1,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_13, c_0_14])).
% 0.37/0.51 cnf(c_0_17, negated_conjecture, (c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))|~c_PropLog_Osat(v_F,X1,t_a)), c_0_15).
% 0.37/0.51 cnf(c_0_18, negated_conjecture, (~c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(fof_simplification,[status(thm)],[cls_conjecture_3])).
% 0.37/0.51 cnf(c_0_19, negated_conjecture, (c_in(X1,c_PropLog_Othms(c_insert(X2,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_in(X3,c_insert(X2,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))|~c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X3,X1,t_a),t_a)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.37/0.51 cnf(c_0_20, axiom, (c_in(X1,c_insert(X1,X2,X3),X3)), cls_Set_OinsertCI_1).
% 0.37/0.51 cnf(c_0_21, negated_conjecture, (~c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), c_0_18).
% 0.37/0.51 cnf(c_0_22, negated_conjecture, (c_in(X1,c_PropLog_Othms(c_insert(X2,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),t_a)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.37/0.51 cnf(c_0_23, plain, (c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3)|~c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3)), inference(fof_simplification,[status(thm)],[cls_PropLog_Osat__imp_0])).
% 0.37/0.51 cnf(c_0_24, negated_conjecture, (~c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.37/0.51 cnf(c_0_25, plain, (c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3)|~c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3)), c_0_23).
% 0.37/0.51 cnf(c_0_26, negated_conjecture, (c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a)), cls_conjecture_2).
% 0.37/0.51 cnf(c_0_27, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])]), ['proof']).
% 0.37/0.51 % SZS output end Proof
% 0.37/0.51 % User time : 0.006 s
% 0.37/0.51 % System time : 0.006 s
% 0.37/0.51 % Total time : 0.012 s
% 0.37/0.51 % User time : 0.007 s
% 0.37/0.51 % System time : 0.009 s
% 0.37/0.51 % Total time : 0.016 s
% 0.37/0.51
%------------------------------------------------------------------------------