TSTP Solution File: SET862-2 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET862-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 : Tue May 21 02:56:22 EDT 2024
% Result : Unsatisfiable 2.44s 0.94s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of clauses : 71 ( 8 unt; 24 nHn; 60 RR)
% Number of literals : 194 ( 6 equ; 100 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 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 : 141 ( 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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_y,v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_0_15,plain,
( 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))) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Ochain__extend_0]) ).
cnf(c_0_16,plain,
( 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))) ),
c_0_15 ).
cnf(c_0_17,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_18,negated_conjecture,
( c_in(v_x(X1),v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_19,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_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( c_in(v_x(X1),v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
c_0_18 ).
cnf(c_0_21,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_19,c_0_20]) ).
cnf(c_0_22,plain,
( 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)) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Omaxchain__super__lemma_1]) ).
cnf(c_0_23,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_21,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
c_in(v_y,v_S,tc_set(t_a)),
cls_conjecture_2 ).
cnf(c_0_25,plain,
( 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))) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Omaxchain__super__lemma_0]) ).
cnf(c_0_26,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[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)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_28,plain,
( 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)) ),
c_0_22 ).
cnf(c_0_29,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_23,c_0_24]) ).
cnf(c_0_30,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_31,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_32,plain,
( 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))) ),
c_0_25 ).
cnf(c_0_33,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).
cnf(c_0_34,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
c_0_26 ).
cnf(c_0_35,negated_conjecture,
( c_lessequals(X1,v_x(X1),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
c_0_27 ).
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(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_28,c_0_29]),c_0_30])]) ).
cnf(c_0_37,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
c_0_31 ).
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_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_32,c_0_29]),c_0_30])]) ).
cnf(c_0_39,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
c_0_33 ).
cnf(c_0_40,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_34,c_0_35]) ).
cnf(c_0_41,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_36,c_0_37]),c_0_38]) ).
cnf(c_0_42,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_43,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_39,c_0_40]) ).
cnf(c_0_44,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_41,c_0_42]) ).
cnf(c_0_45,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_34,c_0_37]) ).
cnf(c_0_46,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_43,c_0_44]),c_0_24])]) ).
cnf(c_0_47,plain,
( 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)) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Ochain__extend_1]) ).
cnf(c_0_48,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_45,c_0_46]) ).
cnf(c_0_49,plain,
( 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)) ),
c_0_47 ).
cnf(c_0_50,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_43,c_0_40]),c_0_20]) ).
cnf(c_0_51,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_48,c_0_42]) ).
cnf(c_0_52,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_Osubset__antisym_0]) ).
cnf(c_0_53,negated_conjecture,
( X1 != v_x(X1)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_54,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_49,c_0_17]) ).
cnf(c_0_55,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_50,c_0_51]),c_0_24])]) ).
cnf(c_0_56,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
c_0_52 ).
cnf(c_0_57,negated_conjecture,
( X1 != v_x(X1)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
c_0_53 ).
cnf(c_0_58,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_54,c_0_55]) ).
cnf(c_0_59,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_56,c_0_35]),c_0_57]) ).
cnf(c_0_60,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_58,c_0_20]),c_0_59]) ).
cnf(c_0_61,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_28,c_0_60]),c_0_30])]) ).
cnf(c_0_62,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_32,c_0_60]),c_0_30])]) ).
cnf(c_0_63,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_61,c_0_20]),c_0_24])]) ).
cnf(c_0_64,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_62,c_0_20]),c_0_24])]) ).
cnf(c_0_65,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_63,c_0_37]),c_0_64]) ).
cnf(c_0_66,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_65,c_0_40]) ).
cnf(c_0_67,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_66,c_0_20]),c_0_24])]) ).
cnf(c_0_68,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_67,c_0_42]) ).
cnf(c_0_69,negated_conjecture,
c_lessequals(v_x(v_y),v_y,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_39,c_0_68]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_69]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET862-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 11:29:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/0.94 # Version: 3.1.0
% 2.44/0.94 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.44/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.44/0.94 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.44/0.94 # Starting new_bool_3 with 300s (1) cores
% 2.44/0.94 # Starting new_bool_1 with 300s (1) cores
% 2.44/0.94 # Starting sh5l with 300s (1) cores
% 2.44/0.94 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31207 completed with status 0
% 2.44/0.94 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.44/0.94 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.44/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.44/0.94 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.44/0.94 # No SInE strategy applied
% 2.44/0.94 # Search class: FGHSF-FFMS32-MFFFFFNN
% 2.44/0.94 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.44/0.94 # Starting G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 2.44/0.94 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.44/0.94 # Starting new_bool_3 with 136s (1) cores
% 2.44/0.94 # Starting new_bool_1 with 136s (1) cores
% 2.44/0.94 # Starting sh5l with 136s (1) cores
% 2.44/0.94 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31212 completed with status 0
% 2.44/0.94 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.44/0.94 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.44/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.44/0.94 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.44/0.94 # No SInE strategy applied
% 2.44/0.94 # Search class: FGHSF-FFMS32-MFFFFFNN
% 2.44/0.94 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.44/0.94 # Starting G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 2.44/0.94 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.44/0.94 # Preprocessing time : 0.001 s
% 2.44/0.94 # Presaturation interreduction done
% 2.44/0.94
% 2.44/0.94 # Proof found!
% 2.44/0.94 # SZS status Unsatisfiable
% 2.44/0.94 # SZS output start CNFRefutation
% See solution above
% 2.44/0.94 # Parsed axioms : 15
% 2.44/0.94 # Removed by relevancy pruning/SinE : 0
% 2.44/0.94 # Initial clauses : 15
% 2.44/0.94 # Removed in clause preprocessing : 0
% 2.44/0.94 # Initial clauses in saturation : 15
% 2.44/0.94 # Processed clauses : 2329
% 2.44/0.94 # ...of these trivial : 65
% 2.44/0.94 # ...subsumed : 788
% 2.44/0.94 # ...remaining for further processing : 1476
% 2.44/0.94 # Other redundant clauses eliminated : 0
% 2.44/0.94 # Clauses deleted for lack of memory : 0
% 2.44/0.94 # Backward-subsumed : 455
% 2.44/0.94 # Backward-rewritten : 11
% 2.44/0.94 # Generated clauses : 7834
% 2.44/0.94 # ...of the previous two non-redundant : 7076
% 2.44/0.94 # ...aggressively subsumed : 0
% 2.44/0.94 # Contextual simplify-reflections : 37
% 2.44/0.94 # Paramodulations : 7832
% 2.44/0.94 # Factorizations : 2
% 2.44/0.94 # NegExts : 0
% 2.44/0.94 # Equation resolutions : 0
% 2.44/0.94 # Disequality decompositions : 0
% 2.44/0.94 # Total rewrite steps : 1265
% 2.44/0.94 # ...of those cached : 1244
% 2.44/0.94 # Propositional unsat checks : 0
% 2.44/0.94 # Propositional check models : 0
% 2.44/0.94 # Propositional check unsatisfiable : 0
% 2.44/0.94 # Propositional clauses : 0
% 2.44/0.94 # Propositional clauses after purity: 0
% 2.44/0.94 # Propositional unsat core size : 0
% 2.44/0.94 # Propositional preprocessing time : 0.000
% 2.44/0.94 # Propositional encoding time : 0.000
% 2.44/0.94 # Propositional solver time : 0.000
% 2.44/0.94 # Success case prop preproc time : 0.000
% 2.44/0.94 # Success case prop encoding time : 0.000
% 2.44/0.94 # Success case prop solver time : 0.000
% 2.44/0.94 # Current number of processed clauses : 995
% 2.44/0.94 # Positive orientable unit clauses : 20
% 2.44/0.94 # Positive unorientable unit clauses: 0
% 2.44/0.94 # Negative unit clauses : 1
% 2.44/0.94 # Non-unit-clauses : 974
% 2.44/0.94 # Current number of unprocessed clauses: 4258
% 2.44/0.94 # ...number of literals in the above : 20180
% 2.44/0.94 # Current number of archived formulas : 0
% 2.44/0.94 # Current number of archived clauses : 481
% 2.44/0.94 # Clause-clause subsumption calls (NU) : 187402
% 2.44/0.94 # Rec. Clause-clause subsumption calls : 147192
% 2.44/0.94 # Non-unit clause-clause subsumptions : 1229
% 2.44/0.94 # Unit Clause-clause subsumption calls : 1012
% 2.44/0.94 # Rewrite failures with RHS unbound : 0
% 2.44/0.94 # BW rewrite match attempts : 319
% 2.44/0.94 # BW rewrite match successes : 16
% 2.44/0.94 # Condensation attempts : 0
% 2.44/0.94 # Condensation successes : 0
% 2.44/0.94 # Termbank termtop insertions : 338739
% 2.44/0.94 # Search garbage collected termcells : 48
% 2.44/0.94
% 2.44/0.94 # -------------------------------------------------
% 2.44/0.94 # User time : 0.415 s
% 2.44/0.94 # System time : 0.006 s
% 2.44/0.94 # Total time : 0.420 s
% 2.44/0.94 # Maximum resident set size: 1636 pages
% 2.44/0.94
% 2.44/0.94 # -------------------------------------------------
% 2.44/0.94 # User time : 2.069 s
% 2.44/0.94 # System time : 0.014 s
% 2.44/0.94 # Total time : 2.083 s
% 2.44/0.94 # Maximum resident set size: 1704 pages
% 2.44/0.94 % E---3.1 exiting
% 2.44/0.94 % E exiting
%------------------------------------------------------------------------------