TSTP Solution File: SET862-2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:24:15 EDT 2023
% Result : Unsatisfiable 3.39s 0.88s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of clauses : 60 ( 8 unt; 22 nHn; 50 RR)
% Number of literals : 160 ( 4 equ; 78 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 107 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Zorn_Ochain__extend_0,axiom,
( c_in(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,tc_set(X3))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_Zorn_Ochain__extend_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_conjecture_1) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(v_x(X1),v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_conjecture_4) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_y,v_S,tc_set(t_a)),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_conjecture_2) ).
cnf(cls_Zorn_Omaxchain__super__lemma_1,axiom,
( c_in(X1,X6,X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_Zorn_Omaxchain__super__lemma_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_conjecture_0) ).
cnf(cls_Zorn_Omaxchain__super__lemma_0,axiom,
( c_in(X1,X6,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_Zorn_Omaxchain__super__lemma_0) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_Set_OsubsetD_0) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_lessequals(X1,v_x(X1),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_conjecture_5) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_conjecture_3) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_Set_OsubsetI_0) ).
cnf(cls_Zorn_Ochain__extend_1,axiom,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_Zorn_Ochain__extend_1) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( X1 != v_x(X1)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p',cls_conjecture_6) ).
cnf(c_0_15,axiom,
( c_in(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,tc_set(X3))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3))) ),
cls_Zorn_Ochain__extend_0 ).
cnf(c_0_16,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
cls_conjecture_1 ).
cnf(c_0_17,negated_conjecture,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( c_in(v_x(X1),v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
cls_conjecture_4 ).
cnf(c_0_19,negated_conjecture,
( c_in(c_union(c_insert(v_x(X1),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,v_x(X1),t_a),v_c,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( c_in(c_union(c_insert(v_x(v_x(X1)),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(X1)),t_a),v_c,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
c_in(v_y,v_S,tc_set(t_a)),
cls_conjecture_2 ).
cnf(c_0_22,axiom,
( c_in(X1,X6,X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,tc_set(X3)) ),
cls_Zorn_Omaxchain__super__lemma_1 ).
cnf(c_0_23,negated_conjecture,
( c_in(c_union(c_insert(v_x(v_x(v_y)),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),v_c,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
cls_conjecture_0 ).
cnf(c_0_25,axiom,
( c_in(X1,X6,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3))) ),
cls_Zorn_Omaxchain__super__lemma_0 ).
cnf(c_0_26,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
cls_Set_OsubsetD_0 ).
cnf(c_0_27,negated_conjecture,
( c_lessequals(X1,v_x(X1),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
cls_conjecture_5 ).
cnf(c_0_28,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),v_c,tc_set(t_a))
| c_in(X1,X2,t_a)
| ~ c_in(X1,v_x(v_x(v_y)),t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_29,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
cls_conjecture_3 ).
cnf(c_0_30,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),v_c,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X2,X1,t_a)
| ~ c_in(X2,v_x(v_x(v_y)),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_24])]) ).
cnf(c_0_31,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
cls_Set_OsubsetI_1 ).
cnf(c_0_32,negated_conjecture,
( c_in(X1,v_x(X2),t_a)
| ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(X1,X2,t_a) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),v_c,tc_set(t_a))
| c_in(X1,v_y,t_a)
| ~ c_in(X1,v_x(v_x(v_y)),t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_35,negated_conjecture,
( c_lessequals(X1,v_x(X2),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_x(X2),t_a),X2,t_a)
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),v_c,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x(v_x(v_y)),X1,t_a),v_y,t_a)
| c_lessequals(v_x(v_x(v_y)),X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(X2,v_c,tc_set(t_a))
| ~ c_in(X1,X2,t_a) ),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_38,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),v_c,tc_set(t_a))
| c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_21])]) ).
cnf(c_0_39,negated_conjecture,
( c_in(X1,v_y,t_a)
| c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a))
| ~ c_in(X1,c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),t_a) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,axiom,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3)) ),
cls_Zorn_Ochain__extend_1 ).
cnf(c_0_41,negated_conjecture,
( c_lessequals(X1,v_x(v_x(X2)),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_x(v_x(X2)),t_a),X2,t_a)
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_18]) ).
cnf(c_0_42,negated_conjecture,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),X1,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),X1,tc_set(t_a))
| c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_40,c_0_16]) ).
cnf(c_0_44,negated_conjecture,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),v_x(v_x(v_y)),tc_set(t_a))
| c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_21])]) ).
cnf(c_0_45,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
cls_Set_Osubset__antisym_0 ).
cnf(c_0_46,negated_conjecture,
( X1 != v_x(X1)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
cls_conjecture_6 ).
cnf(c_0_47,negated_conjecture,
( c_in(c_union(c_insert(v_x(v_x(v_y)),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a))
| ~ c_in(v_x(v_x(v_y)),v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_lessequals(v_x(X1),X1,tc_set(t_a)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_27]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( c_in(c_union(c_insert(v_x(v_x(v_y)),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(v_y),v_S,tc_set(t_a)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_18]),c_0_48]) ).
cnf(c_0_50,negated_conjecture,
( c_in(X1,X2,t_a)
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| ~ c_in(X1,v_x(v_x(v_y)),t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_49]),c_0_24])]) ).
cnf(c_0_51,negated_conjecture,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X2,X1,t_a)
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| ~ c_in(X2,v_x(v_x(v_y)),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_49]),c_0_24])]) ).
cnf(c_0_52,negated_conjecture,
( c_in(X1,X2,t_a)
| ~ c_in(X1,v_x(v_x(v_y)),t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_18]),c_0_21])]) ).
cnf(c_0_53,negated_conjecture,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X2,X1,t_a)
| ~ c_in(X2,v_x(v_x(v_y)),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_18]),c_0_21])]) ).
cnf(c_0_54,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(X1,v_x(v_x(v_y)),t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_29]),c_0_53]) ).
cnf(c_0_55,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| ~ c_in(X1,v_x(v_y),t_a) ),
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
cnf(c_0_56,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(X1,v_x(v_y),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_18]),c_0_21])]) ).
cnf(c_0_57,negated_conjecture,
( c_in(c_Main_OsubsetI__1(v_x(v_y),X1,t_a),v_y,t_a)
| c_lessequals(v_x(v_y),X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_56,c_0_34]) ).
cnf(c_0_58,negated_conjecture,
c_lessequals(v_x(v_y),v_y,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_31,c_0_57]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_58]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n014.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 16:29:49 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.NliD40g322/E---3.1_23279.p
% 3.39/0.88 # Version: 3.1pre001
% 3.39/0.88 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.39/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.39/0.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.39/0.88 # Starting new_bool_3 with 300s (1) cores
% 3.39/0.88 # Starting new_bool_1 with 300s (1) cores
% 3.39/0.88 # Starting sh5l with 300s (1) cores
% 3.39/0.88 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23356 completed with status 0
% 3.39/0.88 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.39/0.88 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.39/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.39/0.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.39/0.88 # No SInE strategy applied
% 3.39/0.88 # Search class: FGHSF-FFMS32-MFFFFFNN
% 3.39/0.88 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.39/0.88 # Starting G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 3.39/0.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.39/0.88 # Starting new_bool_3 with 136s (1) cores
% 3.39/0.88 # Starting new_bool_1 with 136s (1) cores
% 3.39/0.88 # Starting sh5l with 136s (1) cores
% 3.39/0.88 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23361 completed with status 0
% 3.39/0.88 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.39/0.88 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.39/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.39/0.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.39/0.88 # No SInE strategy applied
% 3.39/0.88 # Search class: FGHSF-FFMS32-MFFFFFNN
% 3.39/0.88 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.39/0.88 # Starting G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 3.39/0.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.39/0.88 # Preprocessing time : 0.001 s
% 3.39/0.88 # Presaturation interreduction done
% 3.39/0.88
% 3.39/0.88 # Proof found!
% 3.39/0.88 # SZS status Unsatisfiable
% 3.39/0.88 # SZS output start CNFRefutation
% See solution above
% 3.39/0.88 # Parsed axioms : 15
% 3.39/0.88 # Removed by relevancy pruning/SinE : 0
% 3.39/0.88 # Initial clauses : 15
% 3.39/0.88 # Removed in clause preprocessing : 0
% 3.39/0.88 # Initial clauses in saturation : 15
% 3.39/0.88 # Processed clauses : 2329
% 3.39/0.88 # ...of these trivial : 65
% 3.39/0.88 # ...subsumed : 788
% 3.39/0.88 # ...remaining for further processing : 1476
% 3.39/0.88 # Other redundant clauses eliminated : 0
% 3.39/0.88 # Clauses deleted for lack of memory : 0
% 3.39/0.88 # Backward-subsumed : 455
% 3.39/0.88 # Backward-rewritten : 11
% 3.39/0.88 # Generated clauses : 7834
% 3.39/0.88 # ...of the previous two non-redundant : 7076
% 3.39/0.88 # ...aggressively subsumed : 0
% 3.39/0.88 # Contextual simplify-reflections : 37
% 3.39/0.88 # Paramodulations : 7832
% 3.39/0.88 # Factorizations : 2
% 3.39/0.88 # NegExts : 0
% 3.39/0.88 # Equation resolutions : 0
% 3.39/0.88 # Total rewrite steps : 1265
% 3.39/0.88 # Propositional unsat checks : 0
% 3.39/0.88 # Propositional check models : 0
% 3.39/0.88 # Propositional check unsatisfiable : 0
% 3.39/0.88 # Propositional clauses : 0
% 3.39/0.88 # Propositional clauses after purity: 0
% 3.39/0.88 # Propositional unsat core size : 0
% 3.39/0.88 # Propositional preprocessing time : 0.000
% 3.39/0.88 # Propositional encoding time : 0.000
% 3.39/0.88 # Propositional solver time : 0.000
% 3.39/0.88 # Success case prop preproc time : 0.000
% 3.39/0.88 # Success case prop encoding time : 0.000
% 3.39/0.88 # Success case prop solver time : 0.000
% 3.39/0.88 # Current number of processed clauses : 995
% 3.39/0.88 # Positive orientable unit clauses : 20
% 3.39/0.88 # Positive unorientable unit clauses: 0
% 3.39/0.88 # Negative unit clauses : 1
% 3.39/0.88 # Non-unit-clauses : 974
% 3.39/0.88 # Current number of unprocessed clauses: 4258
% 3.39/0.88 # ...number of literals in the above : 20180
% 3.39/0.88 # Current number of archived formulas : 0
% 3.39/0.88 # Current number of archived clauses : 481
% 3.39/0.88 # Clause-clause subsumption calls (NU) : 187402
% 3.39/0.88 # Rec. Clause-clause subsumption calls : 147192
% 3.39/0.88 # Non-unit clause-clause subsumptions : 1229
% 3.39/0.88 # Unit Clause-clause subsumption calls : 1012
% 3.39/0.88 # Rewrite failures with RHS unbound : 0
% 3.39/0.88 # BW rewrite match attempts : 319
% 3.39/0.88 # BW rewrite match successes : 16
% 3.39/0.88 # Condensation attempts : 0
% 3.39/0.88 # Condensation successes : 0
% 3.39/0.88 # Termbank termtop insertions : 338631
% 3.39/0.88
% 3.39/0.88 # -------------------------------------------------
% 3.39/0.88 # User time : 0.430 s
% 3.39/0.88 # System time : 0.011 s
% 3.39/0.88 # Total time : 0.441 s
% 3.39/0.88 # Maximum resident set size: 1612 pages
% 3.39/0.88
% 3.39/0.88 # -------------------------------------------------
% 3.39/0.88 # User time : 2.163 s
% 3.39/0.88 # System time : 0.018 s
% 3.39/0.88 # Total time : 2.181 s
% 3.39/0.88 # Maximum resident set size: 1688 pages
% 3.39/0.88 % E---3.1 exiting
%------------------------------------------------------------------------------