%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL430-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n009.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 0.25s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL430-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n009.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 : Fri Sep 4 19:41:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.46 start to proof:theBenchmark.p
% 0.25/0.53 % Version : CSI_E---1.1
% 0.25/0.53 % Problem : theBenchmark.p
% 0.25/0.53 % Proof found!
% 0.25/0.53 # SZS status Unsatisfiable
% 0.25/0.53 % SZS output start Proof
% 0.25/0.53 cnf(cls_PropLog_ODiff__weaken__left_0, axiom, (c_in(X1,c_PropLog_Othms(c_minus(X5,X3,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4))|~c_in(X1,c_PropLog_Othms(c_minus(X2,X3,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4))|~c_lessequals(X2,X5,tc_set(tc_PropLog_Opl(X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_ODiff__weaken__left_0)).
% 0.25/0.53 cnf(cls_PropLog_Oweaken__left_0, axiom, (c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_lessequals(X2,X4,tc_set(tc_PropLog_Opl(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Oweaken__left_0)).
% 0.25/0.53 cnf(cls_conjecture_3, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_3)).
% 0.25/0.53 cnf(cls_PropLog_Ohyps__insert_0, axiom, (c_lessequals(c_PropLog_Ohyps(X1,c_insert(X2,X3,X4),X4),c_insert(c_PropLog_Opl_Ovar(X2,X4),c_minus(c_PropLog_Ohyps(X1,X3,X4),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,X4),c_PropLog_Opl_Ofalse,X4),c_emptyset,tc_PropLog_Opl(X4)),tc_set(tc_PropLog_Opl(X4))),tc_PropLog_Opl(X4)),tc_set(tc_PropLog_Opl(X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Ohyps__insert_0)).
% 0.25/0.53 cnf(cls_PropLog_Othms__excluded__middle__rule_0, axiom, (c_in(X1,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_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,X4),X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Othms__excluded__middle__rule_0)).
% 0.25/0.53 cnf(cls_PropLog_Oinsert__Diff__same_0, axiom, (c_lessequals(c_minus(X1,X2,tc_set(X3)),c_insert(X4,c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),X3),tc_set(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Oinsert__Diff__same_0)).
% 0.25/0.53 cnf(cls_PropLog_Oinsert__Diff__subset2_0, axiom, (c_lessequals(c_minus(c_insert(X1,c_minus(X2,c_insert(X3,c_emptyset,X4),tc_set(X4)),X4),X5,tc_set(X4)),c_insert(X1,c_minus(X2,c_insert(X3,X5,X4),tc_set(X4)),X4),tc_set(X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_PropLog_Oinsert__Diff__subset2_0)).
% 0.25/0.53 cnf(cls_conjecture_5, negated_conjecture, (~c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_5)).
% 0.25/0.53 cnf(c_0_8, plain, (c_in(X1,c_PropLog_Othms(c_minus(X5,X3,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4))|~c_in(X1,c_PropLog_Othms(c_minus(X2,X3,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4))|~c_lessequals(X2,X5,tc_set(tc_PropLog_Opl(X4)))), inference(fof_simplification,[status(thm)],[cls_PropLog_ODiff__weaken__left_0])).
% 0.25/0.53 cnf(c_0_9, plain, (c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_lessequals(X2,X4,tc_set(tc_PropLog_Opl(X3)))), inference(fof_simplification,[status(thm)],[cls_PropLog_Oweaken__left_0])).
% 0.25/0.53 cnf(c_0_10, plain, (c_in(X1,c_PropLog_Othms(c_minus(X5,X3,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4))|~c_in(X1,c_PropLog_Othms(c_minus(X2,X3,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4))|~c_lessequals(X2,X5,tc_set(tc_PropLog_Opl(X4)))), c_0_8).
% 0.25/0.53 cnf(c_0_11, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))), cls_conjecture_3).
% 0.25/0.53 cnf(c_0_12, plain, (c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))|~c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_lessequals(X2,X4,tc_set(tc_PropLog_Opl(X3)))), c_0_9).
% 0.25/0.53 cnf(c_0_13, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_minus(X1,v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))|~c_lessequals(c_PropLog_Ohyps(v_p,X2,t_a),X1,tc_set(tc_PropLog_Opl(t_a)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.25/0.53 cnf(c_0_14, axiom, (c_lessequals(c_PropLog_Ohyps(X1,c_insert(X2,X3,X4),X4),c_insert(c_PropLog_Opl_Ovar(X2,X4),c_minus(c_PropLog_Ohyps(X1,X3,X4),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,X4),c_PropLog_Opl_Ofalse,X4),c_emptyset,tc_PropLog_Opl(X4)),tc_set(tc_PropLog_Opl(X4))),tc_PropLog_Opl(X4)),tc_set(tc_PropLog_Opl(X4)))), cls_PropLog_Ohyps__insert_0).
% 0.25/0.53 cnf(c_0_15, plain, (c_in(X1,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_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,X4),X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))), inference(fof_simplification,[status(thm)],[cls_PropLog_Othms__excluded__middle__rule_0])).
% 0.25/0.53 cnf(c_0_16, negated_conjecture, (c_in(v_p,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a))|~c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X2,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),X1,tc_set(tc_PropLog_Opl(t_a)))), inference(spm,[status(thm)],[c_0_12, c_0_11])).
% 0.25/0.53 cnf(c_0_17, axiom, (c_lessequals(c_minus(X1,X2,tc_set(X3)),c_insert(X4,c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),X3),tc_set(X3))), cls_PropLog_Oinsert__Diff__same_0).
% 0.25/0.53 cnf(c_0_18, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Ovar(X1,t_a),c_minus(c_PropLog_Ohyps(v_p,X2,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 0.25/0.53 cnf(c_0_19, plain, (c_in(X1,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_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,X4),X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))), c_0_15).
% 0.25/0.53 cnf(c_0_20, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_insert(X1,c_minus(c_PropLog_Ohyps(v_p,X2,t_a),c_insert(X1,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.25/0.53 cnf(c_0_21, negated_conjecture, (c_in(v_p,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a))|~c_lessequals(c_minus(c_insert(c_PropLog_Opl_Ovar(X2,t_a),c_minus(c_PropLog_Ohyps(v_p,X3,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),X1,tc_set(tc_PropLog_Opl(t_a)))), inference(spm,[status(thm)],[c_0_12, c_0_18])).
% 0.25/0.53 cnf(c_0_22, axiom, (c_lessequals(c_minus(c_insert(X1,c_minus(X2,c_insert(X3,c_emptyset,X4),tc_set(X4)),X4),X5,tc_set(X4)),c_insert(X1,c_minus(X2,c_insert(X3,X5,X4),tc_set(X4)),X4),tc_set(X4))), cls_PropLog_Oinsert__Diff__subset2_0).
% 0.25/0.53 cnf(c_0_23, negated_conjecture, (~c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))), inference(fof_simplification,[status(thm)],[cls_conjecture_5])).
% 0.25/0.53 cnf(c_0_24, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))|~c_in(v_p,c_PropLog_Othms(c_insert(X2,c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.25/0.53 cnf(c_0_25, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X1,t_a),c_minus(c_PropLog_Ohyps(v_p,X2,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.25/0.53 cnf(c_0_26, negated_conjecture, (~c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))), c_0_23).
% 0.25/0.53 cnf(c_0_27, negated_conjecture, (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.25/0.53 cnf(c_0_28, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])]), ['proof']).
% 0.25/0.53 % SZS output end Proof
% 0.25/0.53 % User time : 0.003 s
% 0.25/0.53 % System time : 0.005 s
% 0.25/0.53 % Total time : 0.008 s
% 0.25/0.53 % User time : 0.005 s
% 0.25/0.53 % System time : 0.007 s
% 0.25/0.53 % Total time : 0.013 s
% 0.25/0.53
%------------------------------------------------------------------------------