%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET862-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 : Thu Sep 24 02:15:38 PM UTC 2026
% Result : Unsatisfiable 3.86s 0.96s
% Output : CNFRefutation 3.86s
% 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(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,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(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,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(X1,v_S,tc_set(t_a))
| c_in(v_x(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_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,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_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,X3)
| c_in(X1,X6,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(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_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
| c_in(X1,X6,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X1,v_x(X1),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_in(X1,v_c,tc_set(t_a))
| c_lessequals(X1,v_y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Zorn_Ochain__extend_1,axiom,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| X1 != v_x(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_0_15,plain,
( ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,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(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Ochain__extend_0]) ).
cnf(c_0_16,plain,
( ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,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(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,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(X1,v_S,tc_set(t_a))
| c_in(v_x(X1),v_S,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_19,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))
| 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))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| c_in(v_x(X1),v_S,tc_set(t_a)) ),
c_0_18 ).
cnf(c_0_21,negated_conjecture,
( ~ c_in(X1,v_S,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(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))) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,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_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,X3)
| c_in(X1,X6,X3) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Omaxchain__super__lemma_1]) ).
cnf(c_0_23,negated_conjecture,
( ~ c_in(X1,v_S,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(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))) ),
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(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_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
| c_in(X1,X6,X3) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Omaxchain__super__lemma_0]) ).
cnf(c_0_26,plain,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetD_0]) ).
cnf(c_0_27,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X1,v_x(X1),tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_28,plain,
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,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_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,X3)
| c_in(X1,X6,X3) ),
c_0_22 ).
cnf(c_0_29,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_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))) ),
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_in(X1,v_c,tc_set(t_a))
| c_lessequals(X1,v_y,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_32,plain,
( ~ 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_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
| c_in(X1,X6,X3) ),
c_0_25 ).
cnf(c_0_33,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).
cnf(c_0_34,plain,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
c_0_26 ).
cnf(c_0_35,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X1,v_x(X1),tc_set(t_a)) ),
c_0_27 ).
cnf(c_0_36,negated_conjecture,
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
| ~ c_in(X1,v_x(v_x(v_y)),t_a)
| c_in(X1,X2,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(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_in(X1,v_c,tc_set(t_a))
| c_lessequals(X1,v_y,tc_set(t_a)) ),
c_0_31 ).
cnf(c_0_38,negated_conjecture,
( ~ c_in(X2,v_x(v_x(v_y)),t_a)
| c_in(X2,X1,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,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(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_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
c_0_33 ).
cnf(c_0_40,negated_conjecture,
( ~ c_in(X1,X2,t_a)
| ~ c_in(X2,v_S,tc_set(t_a))
| c_in(X1,v_x(X2),t_a) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( ~ c_in(X1,v_x(v_x(v_y)),t_a)
| c_in(X1,v_y,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_42,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_43,negated_conjecture,
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_x(X2),t_a),X2,t_a)
| c_lessequals(X1,v_x(X2),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( c_lessequals(v_x(v_x(v_y)),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x(v_x(v_y)),X1,t_a),v_y,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_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( ~ c_in(X1,X2,t_a)
| ~ c_in(X2,v_c,tc_set(t_a))
| c_in(X1,v_y,t_a) ),
inference(spm,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_46,negated_conjecture,
( c_lessequals(v_x(v_x(v_y)),v_x(v_y),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(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_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,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))) ),
inference(fof_simplification,[status(thm)],[cls_Zorn_Ochain__extend_1]) ).
cnf(c_0_48,negated_conjecture,
( ~ c_in(X1,c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_y)),t_a),t_a)
| c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a))
| c_in(X1,v_y,t_a) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,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_0_47 ).
cnf(c_0_50,negated_conjecture,
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_x(v_x(X2)),t_a),X2,t_a)
| c_lessequals(X1,v_x(v_x(X2)),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_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(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_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) ),
inference(spm,[status(thm)],[c_0_48,c_0_42]) ).
cnf(c_0_52,plain,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[cls_Set_Osubset__antisym_0]) ).
cnf(c_0_53,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| X1 != v_x(X1) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_54,negated_conjecture,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| 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))) ),
inference(spm,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_55,negated_conjecture,
( c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a))
| 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)) ),
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,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
c_0_52 ).
cnf(c_0_57,negated_conjecture,
( ~ c_in(X1,v_S,tc_set(t_a))
| X1 != v_x(X1) ),
c_0_53 ).
cnf(c_0_58,negated_conjecture,
( ~ c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))
| c_lessequals(v_x(v_x(v_y)),v_x(v_y),tc_set(t_a))
| 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))) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( ~ c_lessequals(v_x(X1),X1,tc_set(t_a))
| ~ c_in(X1,v_S,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(v_x(v_y),v_S,tc_set(t_a))
| 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))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_20]),c_0_59]) ).
cnf(c_0_61,negated_conjecture,
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
| ~ c_in(X1,v_x(v_x(v_y)),t_a)
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| c_in(X1,X2,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(X2,v_x(v_x(v_y)),t_a)
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| c_in(X2,X1,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(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_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
| ~ c_in(X1,v_x(v_x(v_y)),t_a)
| c_in(X1,X2,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(X2,v_x(v_x(v_y)),t_a)
| c_in(X2,X1,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(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_x(v_x(v_y)),t_a)
| c_in(X1,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_x(v_y),t_a)
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| c_in(X1,v_y,t_a) ),
inference(spm,[status(thm)],[c_0_65,c_0_40]) ).
cnf(c_0_67,negated_conjecture,
( ~ c_in(X1,v_x(v_y),t_a)
| c_in(X1,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_lessequals(v_x(v_y),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x(v_y),X1,t_a),v_y,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
% 0.00/0.03 % Problem : SET862-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:47:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 3.86/0.96 % Version: 3.5.1
% 3.86/0.96 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.86/0.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.86/0.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.86/0.96 % Starting new_bool_3 with 300s (1) cores
% 3.86/0.96 % Starting new_bool_1 with 300s (1) cores
% 3.86/0.96 % Starting sh5l with 300s (1) cores
% 3.86/0.96 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2310912 completed with status 0
% 3.86/0.96 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.86/0.96 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.86/0.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.86/0.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.86/0.96 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.86/0.96 % No SInE strategy applied
% 3.86/0.96 % Search class: FGHSF-FFMS32-MFFFFFNN
% 3.86/0.96 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.86/0.96 % Starting SubtermCWHack with 136s (1) cores
% 3.86/0.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.86/0.96 % Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.86/0.96 % Starting new_bool_3 with 136s (1) cores
% 3.86/0.96 % Starting new_bool_1 with 136s (1) cores
% 3.86/0.96 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2310918 completed with status 0
% 3.86/0.96 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.86/0.96 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.86/0.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.86/0.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.86/0.96 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.86/0.96 % No SInE strategy applied
% 3.86/0.96 % Search class: FGHSF-FFMS32-MFFFFFNN
% 3.86/0.96 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.86/0.96 % Starting SubtermCWHack with 136s (1) cores
% 3.86/0.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.86/0.96 % Preprocessing time : 0.001 s
% 3.86/0.96 % Presaturation interreduction done
% 3.86/0.96
% 3.86/0.96 % Proof found!
% 3.86/0.96 % SZS status Unsatisfiable
% 3.86/0.96 % SZS output start CNFRefutation
% See solution above
% 3.86/0.96 % Parsed axioms : 15
% 3.86/0.96 % Removed by relevancy pruning/SinE : 0
% 3.86/0.96 % Initial clauses : 15
% 3.86/0.96 % Removed in clause preprocessing : 0
% 3.86/0.96 % Initial clauses in saturation : 15
% 3.86/0.96 % Processed clauses : 2329
% 3.86/0.96 % ...of these trivial : 65
% 3.86/0.96 % ...subsumed : 788
% 3.86/0.96 % ...remaining for further processing : 1476
% 3.86/0.96 % Other redundant clauses eliminated : 0
% 3.86/0.96 % Clauses deleted for lack of memory : 0
% 3.86/0.96 % Backward-subsumed : 455
% 3.86/0.96 % Backward-rewritten : 11
% 3.86/0.96 % Generated clauses : 7834
% 3.86/0.96 % ...of the previous two non-redundant : 7076
% 3.86/0.96 % ...aggressively subsumed : 0
% 3.86/0.96 % Contextual simplify-reflections : 37
% 3.86/0.96 % Paramodulations : 7832
% 3.86/0.96 % Factorizations : 2
% 3.86/0.96 % NegExts : 0
% 3.86/0.96 % Equation resolutions : 0
% 3.86/0.96 % Disequality decompositions : 0
% 3.86/0.96 % Total rewrite steps : 1265
% 3.86/0.96 % ...of those cached : 1244
% 3.86/0.96 % Propositional unsat checks : 0
% 3.86/0.96 % Propositional check models : 0
% 3.86/0.96 % Propositional check unsatisfiable : 0
% 3.86/0.96 % Propositional clauses : 0
% 3.86/0.96 % Propositional clauses after purity: 0
% 3.86/0.96 % Propositional unsat core size : 0
% 3.86/0.96 % Propositional preprocessing time : 0.000
% 3.86/0.96 % Propositional encoding time : 0.000
% 3.86/0.96 % Propositional solver time : 0.000
% 3.86/0.96 % Success case prop preproc time : 0.000
% 3.86/0.96 % Success case prop encoding time : 0.000
% 3.86/0.96 % Success case prop solver time : 0.000
% 3.86/0.96 % Current number of processed clauses : 995
% 3.86/0.96 % Positive orientable unit clauses : 20
% 3.86/0.96 % Positive unorientable unit clauses: 0
% 3.86/0.96 % Negative unit clauses : 1
% 3.86/0.96 % Non-unit-clauses : 974
% 3.86/0.96 % Current number of unprocessed clauses: 4258
% 3.86/0.96 % ...number of literals in the above : 20180
% 3.86/0.96 % Current number of archived formulas : 0
% 3.86/0.96 % Current number of archived clauses : 481
% 3.86/0.96 % Clause-clause subsumption calls (NU) : 185156
% 3.86/0.96 % Rec. Clause-clause subsumption calls : 147543
% 3.86/0.96 % Non-unit clause-clause subsumptions : 1229
% 3.86/0.96 % Unit Clause-clause subsumption calls : 1007
% 3.86/0.96 % Rewrite failures with RHS unbound : 0
% 3.86/0.96 % BW rewrite match attempts : 319
% 3.86/0.96 % BW rewrite match successes : 16
% 3.86/0.96 % Condensation attempts : 0
% 3.86/0.96 % Condensation successes : 0
% 3.86/0.96 % Termbank termtop insertions : 338802
% 3.86/0.96 % Search garbage collected termcells : 48
% 3.86/0.96
% 3.86/0.96 % -------------------------------------------------
% 3.86/0.96 % User time : 0.522 s
% 3.86/0.96 % System time : 0.010 s
% 3.86/0.96 % Total time : 0.532 s
% 3.86/0.96 % Maximum resident set size: 3648 pages
% 3.86/0.96
% 3.86/0.96 % -------------------------------------------------
% 3.86/0.96 % User time : 2.580 s
% 3.86/0.96 % System time : 0.067 s
% 3.86/0.96 % Total time : 2.647 s
% 3.86/0.96 % Maximum resident set size: 4864 pages
% 3.86/0.96 % E exiting
%------------------------------------------------------------------------------