TSTP Solution File: LCL429-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL429-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:44:23 EDT 2023
% Result : Unsatisfiable 1.64s 1.16s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 17 unt; 0 nHn; 21 RR)
% Number of literals : 59 ( 0 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 69 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_in(X0,c_PropLog_Othms(c_minus(X1,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3))
| ~ c_lessequals(X1,X4,tc_set(tc_PropLog_Opl(X3)))
| c_in(X0,c_PropLog_Othms(c_minus(X4,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_ODiff__weaken__left_0) ).
cnf(c_50,plain,
c_lessequals(c_PropLog_Ohyps(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,X3),c_PropLog_Opl_Ofalse,X3),c_minus(c_PropLog_Ohyps(X0,X1,X3),c_insert(c_PropLog_Opl_Ovar(X2,X3),c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ohyps__Diff_0) ).
cnf(c_51,plain,
c_lessequals(c_minus(X0,X1,tc_set(X2)),c_insert(X3,c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),X2),tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__same_0) ).
cnf(c_52,plain,
c_lessequals(c_minus(c_insert(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),X4,tc_set(X3)),c_insert(X0,c_minus(X1,c_insert(X2,X4,X3),tc_set(X3)),X3),tc_set(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__subset2_0) ).
cnf(c_53,plain,
( ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle__rule_0) ).
cnf(c_54,plain,
( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_lessequals(X1,X3,tc_set(tc_PropLog_Opl(X2)))
| c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left_0) ).
cnf(c_55,negated_conjecture,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_56,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_Ovar(v_v,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_150,plain,
( ~ c_lessequals(c_minus(X0,X1,tc_set(tc_PropLog_Opl(X2))),c_insert(X3,c_minus(X0,c_insert(X3,X1,tc_PropLog_Opl(X2)),tc_set(tc_PropLog_Opl(X2))),tc_PropLog_Opl(X2)),tc_set(tc_PropLog_Opl(X2)))
| ~ c_in(X4,c_PropLog_Othms(c_minus(X0,X1,tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2))
| c_in(X4,c_PropLog_Othms(c_insert(X3,c_minus(X0,c_insert(X3,X1,tc_PropLog_Opl(X2)),tc_set(tc_PropLog_Opl(X2))),tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_151,plain,
c_lessequals(c_minus(X0,X1,tc_set(tc_PropLog_Opl(X2))),c_insert(X3,c_minus(X0,c_insert(X3,X1,tc_PropLog_Opl(X2)),tc_set(tc_PropLog_Opl(X2))),tc_PropLog_Opl(X2)),tc_set(tc_PropLog_Opl(X2))),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_155,plain,
c_lessequals(c_minus(c_insert(X0,c_minus(X1,c_insert(X2,c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),X4,tc_set(tc_PropLog_Opl(X3))),c_insert(X0,c_minus(X1,c_insert(X2,X4,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_159,plain,
( ~ c_lessequals(c_PropLog_Ohyps(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,X3),c_PropLog_Opl_Ofalse,X3),c_minus(c_PropLog_Ohyps(X0,X1,X3),c_insert(c_PropLog_Opl_Ovar(X2,X3),c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3)))
| ~ c_in(X4,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),X5,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,X3),c_PropLog_Opl_Ofalse,X3),c_minus(c_PropLog_Ohyps(X0,X1,X3),c_insert(c_PropLog_Opl_Ovar(X2,X3),c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),X5,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_164,plain,
( ~ c_lessequals(c_minus(c_insert(X0,c_minus(X1,c_insert(X2,c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),X4,tc_set(tc_PropLog_Opl(X3))),c_insert(X0,c_minus(X1,c_insert(X2,X4,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3)))
| ~ c_in(X5,c_PropLog_Othms(c_minus(c_insert(X0,c_minus(X1,c_insert(X2,c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),X4,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3))
| c_in(X5,c_PropLog_Othms(c_insert(X0,c_minus(X1,c_insert(X2,X4,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_165,plain,
( ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(X1,c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(X1,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_insert(X1,c_minus(c_PropLog_Ohyps(v_p,X0,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(instantiation,[status(thm)],[c_150]) ).
cnf(c_167,plain,
( ~ c_lessequals(c_PropLog_Ohyps(v_p,c_minus(X0,c_insert(X1,c_emptyset,t_a),tc_set(t_a)),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_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Ovar(X1,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,c_minus(X0,c_insert(X1,c_emptyset,t_a),tc_set(t_a)),t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Ovar(X1,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(instantiation,[status(thm)],[c_159]) ).
cnf(c_168,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,c_minus(X0,c_insert(X1,c_emptyset,t_a),tc_set(t_a)),t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_174,plain,
c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(X1,c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(X1,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_176,plain,
c_lessequals(c_PropLog_Ohyps(v_p,c_minus(X0,c_insert(X1,c_emptyset,t_a),tc_set(t_a)),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_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Ovar(X1,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_180,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(X0,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))
| ~ c_in(v_p,c_PropLog_Othms(c_insert(X0,c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(X0,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))
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(X0,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_186,plain,
( ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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))),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| ~ c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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))
| c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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(instantiation,[status(thm)],[c_164]) ).
cnf(c_188,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,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))
| ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_v,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,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))
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_199,plain,
( ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_v,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,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(instantiation,[status(thm)],[c_165]) ).
cnf(c_201,plain,
c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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))),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_208,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_224,plain,
c_lessequals(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(instantiation,[status(thm)],[c_174]) ).
cnf(c_258,plain,
( ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,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))),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| ~ c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,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))
| c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,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(instantiation,[status(thm)],[c_186]) ).
cnf(c_266,plain,
( ~ c_lessequals(c_PropLog_Ohyps(v_p,c_minus(v_t,c_insert(v_v,c_emptyset,t_a),tc_set(t_a)),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),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))
| ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,c_minus(v_t,c_insert(v_v,c_emptyset,t_a),tc_set(t_a)),t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,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(instantiation,[status(thm)],[c_167]) ).
cnf(c_293,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,c_minus(v_t,c_insert(v_v,c_emptyset,t_a),tc_set(t_a)),t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(instantiation,[status(thm)],[c_168]) ).
cnf(c_309,plain,
c_lessequals(c_PropLog_Ohyps(v_p,c_minus(v_t,c_insert(v_v,c_emptyset,t_a),tc_set(t_a)),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),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_328,plain,
c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,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))),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),
inference(instantiation,[status(thm)],[c_201]) ).
cnf(c_329,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_328,c_309,c_293,c_266,c_258,c_224,c_208,c_199,c_188,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL429-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 17:22:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.64/1.16 % SZS status Started for theBenchmark.p
% 1.64/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.16
% 1.64/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.64/1.16
% 1.64/1.16 ------ iProver source info
% 1.64/1.16
% 1.64/1.16 git: date: 2023-05-31 18:12:56 +0000
% 1.64/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.64/1.16 git: non_committed_changes: false
% 1.64/1.16 git: last_make_outside_of_git: false
% 1.64/1.16
% 1.64/1.16 ------ Parsing...successful
% 1.64/1.16
% 1.64/1.16
% 1.64/1.16
% 1.64/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.64/1.16
% 1.64/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.64/1.16 ------ Proving...
% 1.64/1.16 ------ Problem Properties
% 1.64/1.16
% 1.64/1.16
% 1.64/1.16 clauses 8
% 1.64/1.16 conjectures 2
% 1.64/1.16 EPR 0
% 1.64/1.16 Horn 8
% 1.64/1.16 unary 5
% 1.64/1.16 binary 0
% 1.64/1.16 lits 14
% 1.64/1.16 lits eq 0
% 1.64/1.16 fd_pure 0
% 1.64/1.16 fd_pseudo 0
% 1.64/1.16 fd_cond 0
% 1.64/1.16 fd_pseudo_cond 0
% 1.64/1.16 AC symbols 0
% 1.64/1.16
% 1.64/1.16 ------ Schedule dynamic 5 is on
% 1.64/1.16
% 1.64/1.16 ------ no equalities: superposition off
% 1.64/1.16
% 1.64/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.64/1.16
% 1.64/1.16
% 1.64/1.16 ------
% 1.64/1.16 Current options:
% 1.64/1.16 ------
% 1.64/1.16
% 1.64/1.16
% 1.64/1.16
% 1.64/1.16
% 1.64/1.16 ------ Proving...
% 1.64/1.16
% 1.64/1.16
% 1.64/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.16
% 1.64/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.64/1.16
% 1.64/1.16
%------------------------------------------------------------------------------