TSTP Solution File: SET854-2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET854-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 19:24:12 EDT 2023
% Result : Unsatisfiable 205.97s 26.35s
% Output : CNFRefutation 205.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 72 ( 18 unt; 46 nHn; 58 RR)
% Number of literals : 244 ( 25 equ; 99 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 155 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Set_OsubsetD_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_conjecture_0) ).
cnf(cls_Zorn_OTFin__linear__lemma1_3,axiom,
( c_lessequals(X4,X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Osucc(X2,c_Zorn_OTFin__linear__lemma1__1(X2,X1,X3),X3),X1,tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Zorn_OTFin__linear__lemma1_3) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,tc_set(tc_set(t_a)))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_conjecture_5) ).
cnf(cls_Zorn_OTFin__linear__lemma1_1,axiom,
( c_lessequals(X4,X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X2,X1,X3),X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Zorn_OTFin__linear__lemma1_1) ).
cnf(cls_Zorn_OTFin__linear__lemma1_0,axiom,
( c_in(c_Zorn_OTFin__linear__lemma1__1(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Zorn_OTFin__linear__lemma1_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_conjecture_1) ).
cnf(cls_Zorn_OTFin__linear__lemma1_2,axiom,
( c_lessequals(X4,X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X2,X1,X3) != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Zorn_OTFin__linear__lemma1_2) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(cls_Zorn_OUnion__lemma0_2,axiom,
( c_lessequals(X1,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X2,tc_set(X4))
| ~ c_lessequals(X1,c_Zorn_OUnion__lemma0__1(X2,X1,X3,X4),tc_set(X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Zorn_OUnion__lemma0_2) ).
cnf(cls_Zorn_OUnion__lemma0_0,axiom,
( c_in(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X3,tc_set(X4))
| c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Zorn_OUnion__lemma0_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_conjecture_4) ).
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/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_x,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
v_x != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_conjecture_3) ).
cnf(cls_Zorn_OUnion__lemma0_1,axiom,
( c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4))
| ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X1,tc_set(X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Zorn_OUnion__lemma0_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/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Set_OsubsetI_0) ).
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/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p',cls_Set_OsubsetI_1) ).
cnf(c_0_18,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_19,negated_conjecture,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
cls_conjecture_0 ).
cnf(c_0_20,axiom,
( c_lessequals(X4,X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Osucc(X2,c_Zorn_OTFin__linear__lemma1__1(X2,X1,X3),X3),X1,tc_set(tc_set(X3))) ),
cls_Zorn_OTFin__linear__lemma1_3 ).
cnf(c_0_21,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,tc_set(tc_set(t_a)))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,v_Y,tc_set(tc_set(t_a))) ),
cls_conjecture_5 ).
cnf(c_0_22,axiom,
( c_lessequals(X4,X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X2,X1,X3),X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
cls_Zorn_OTFin__linear__lemma1_1 ).
cnf(c_0_23,negated_conjecture,
( c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,axiom,
( c_in(c_Zorn_OTFin__linear__lemma1__1(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
cls_Zorn_OTFin__linear__lemma1_0 ).
cnf(c_0_25,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
cls_conjecture_1 ).
cnf(c_0_26,axiom,
( c_lessequals(X4,X1,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X2,X1,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X2,X1,X3) != X1 ),
cls_Zorn_OTFin__linear__lemma1_2 ).
cnf(c_0_27,negated_conjecture,
( c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(X2,X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( c_in(X1,X2,tc_set(X3))
| c_lessequals(X2,X4,tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X5,X4,X3) != X4
| ~ c_in(X2,c_Zorn_OTFin(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_Osucc(X5,X4,X3),tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_30,axiom,
c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
cls_Zorn_OAbrial__axiom1_0 ).
cnf(c_0_31,negated_conjecture,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(X2,X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,v_Y,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_32,axiom,
( c_lessequals(X1,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X2,tc_set(X4))
| ~ c_lessequals(X1,c_Zorn_OUnion__lemma0__1(X2,X1,X3,X4),tc_set(X4)) ),
cls_Zorn_OUnion__lemma0_2 ).
cnf(c_0_33,negated_conjecture,
( c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(v_x,X1,tc_set(tc_set(t_a)))
| c_lessequals(X2,X1,tc_set(tc_set(t_a)))
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( c_in(X1,v_x,tc_set(t_a))
| c_lessequals(v_x,X2,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,X2,t_a) != X2
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_Osucc(v_S,X2,t_a),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_35,plain,
( c_in(X1,c_Zorn_Osucc(X2,X3,X4),tc_set(X4))
| ~ c_in(X1,X3,tc_set(X4)) ),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(X1,v_x,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_37,axiom,
( c_in(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X3,tc_set(X4))
| c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4)) ),
cls_Zorn_OUnion__lemma0_0 ).
cnf(c_0_38,plain,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(X2,X3,X4),X5,tc_set(X4)),X3,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X2,X3,X4),c_Union(X5,tc_set(X4)),tc_set(tc_set(X4)))
| c_lessequals(c_Union(X5,tc_set(X4)),X1,tc_set(tc_set(X4)))
| c_Zorn_OTFin__linear__lemma1__1(X2,X3,X4) != X3
| ~ c_in(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(X2,X3,X4),X5,tc_set(X4)),c_Zorn_OTFin(X2,X4),tc_set(tc_set(X4)))
| ~ c_in(X3,c_Zorn_OTFin(X2,X4),tc_set(tc_set(X4))) ),
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_39,negated_conjecture,
( c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_40,negated_conjecture,
( c_in(X1,v_x,tc_set(t_a))
| c_lessequals(v_x,X2,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,X2,t_a) != X2
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X2,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| c_lessequals(X2,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
cls_conjecture_4 ).
cnf(c_0_43,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_44,negated_conjecture,
c_lessequals(v_x,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
cls_conjecture_2 ).
cnf(c_0_45,negated_conjecture,
v_x != c_Union(v_Y,tc_set(t_a)),
cls_conjecture_3 ).
cnf(c_0_46,negated_conjecture,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,X2,t_a),X3,tc_set(t_a)),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X2,t_a),c_Union(X3,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X3,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,X2,t_a) != X2
| ~ c_in(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,X2,t_a),X3,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_38,c_0_23]) ).
cnf(c_0_47,negated_conjecture,
( c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) = X1
| c_in(X2,v_x,tc_set(t_a))
| c_lessequals(v_x,X1,tc_set(tc_set(t_a)))
| ~ c_in(X2,c_Zorn_Osucc(v_S,X1,t_a),tc_set(t_a))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_18,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( c_in(X1,v_x,tc_set(t_a))
| c_lessequals(v_x,X2,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,X2,t_a) != X2
| ~ c_in(X2,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X1,X2,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]) ).
cnf(c_0_49,axiom,
( c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4))
| ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X1,tc_set(X4)) ),
cls_Zorn_OUnion__lemma0_1 ).
cnf(c_0_50,negated_conjecture,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_41]),c_0_42]) ).
cnf(c_0_51,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,X2,t_a),v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X2,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,X2,t_a) != X2
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_53,negated_conjecture,
( c_in(X1,v_x,tc_set(t_a))
| c_lessequals(v_x,X2,tc_set(tc_set(t_a)))
| ~ c_in(X2,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X1,X2,tc_set(t_a)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_35]),c_0_48]) ).
cnf(c_0_54,negated_conjecture,
c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_42]),c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,X1,t_a) != X1
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_49,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( c_in(X1,v_x,tc_set(t_a))
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X2,X3,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a)))
| c_lessequals(X3,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OUnion__lemma0__1(X2,X3,v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_53,c_0_37]) ).
cnf(c_0_57,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_58,negated_conjecture,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(X1,v_x,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_Y,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_27,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) != v_x,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_55]),c_0_25])]),c_0_51]) ).
cnf(c_0_60,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_61,negated_conjecture,
( c_in(c_Main_OsubsetI__1(c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),X3,tc_set(t_a)),v_x,tc_set(t_a))
| c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),X3,tc_set(tc_set(t_a)))
| c_lessequals(X2,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_x,t_a),X2,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(X2,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X2,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_x,t_a),X2,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_Y,tc_set(tc_set(t_a))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_58]),c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,X2,t_a),X3,tc_set(t_a)) = X2
| c_lessequals(c_Zorn_Osucc(v_S,X2,t_a),c_Union(X3,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X3,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,X2,t_a),X3,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X2,c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,X2,t_a),X3,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_64,negated_conjecture,
( c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| c_lessequals(X2,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_x,t_a),X2,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(X2,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X2,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_x,t_a),X2,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_Y,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_62,c_0_23]) ).
cnf(c_0_66,negated_conjecture,
( c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,X2,t_a),v_Y,tc_set(t_a)) = X2
| c_lessequals(c_Zorn_Osucc(v_S,X2,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X2,c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,X2,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_63,c_0_37]) ).
cnf(c_0_67,negated_conjecture,
( c_lessequals(v_x,c_Zorn_OUnion__lemma0__1(v_x,X1,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(X1,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_64]),c_0_51]) ).
cnf(c_0_68,negated_conjecture,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_Y,tc_set(tc_set(t_a))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_37]),c_0_42]) ).
cnf(c_0_69,negated_conjecture,
c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)) = v_x,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_25])]),c_0_42]),c_0_51]) ).
cnf(c_0_70,negated_conjecture,
~ c_in(v_x,v_Y,tc_set(tc_set(t_a))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_68]),c_0_42]),c_0_51]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_69]),c_0_70]),c_0_42]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET854-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 17:18:38 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.AzMXrZYqGk/E---3.1_11944.p
% 205.97/26.35 # Version: 3.1pre001
% 205.97/26.35 # Preprocessing class: FSMSSMSSSSSNFFN.
% 205.97/26.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 205.97/26.35 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 205.97/26.35 # Starting new_bool_3 with 300s (1) cores
% 205.97/26.35 # Starting new_bool_1 with 300s (1) cores
% 205.97/26.35 # Starting sh5l with 300s (1) cores
% 205.97/26.35 # sh5l with pid 12025 completed with status 0
% 205.97/26.35 # Result found by sh5l
% 205.97/26.35 # Preprocessing class: FSMSSMSSSSSNFFN.
% 205.97/26.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 205.97/26.35 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 205.97/26.35 # Starting new_bool_3 with 300s (1) cores
% 205.97/26.35 # Starting new_bool_1 with 300s (1) cores
% 205.97/26.35 # Starting sh5l with 300s (1) cores
% 205.97/26.35 # SinE strategy is gf500_gu_R04_F100_L20000
% 205.97/26.35 # Search class: FGUSF-FFMS32-MFFFFFNN
% 205.97/26.35 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 205.97/26.35 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 205.97/26.35 # SAT001_MinMin_p005000_rr_RG with pid 12031 completed with status 0
% 205.97/26.35 # Result found by SAT001_MinMin_p005000_rr_RG
% 205.97/26.35 # Preprocessing class: FSMSSMSSSSSNFFN.
% 205.97/26.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 205.97/26.35 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 205.97/26.35 # Starting new_bool_3 with 300s (1) cores
% 205.97/26.35 # Starting new_bool_1 with 300s (1) cores
% 205.97/26.35 # Starting sh5l with 300s (1) cores
% 205.97/26.35 # SinE strategy is gf500_gu_R04_F100_L20000
% 205.97/26.35 # Search class: FGUSF-FFMS32-MFFFFFNN
% 205.97/26.35 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 205.97/26.35 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 205.97/26.35 # Preprocessing time : 0.001 s
% 205.97/26.35 # Presaturation interreduction done
% 205.97/26.35
% 205.97/26.35 # Proof found!
% 205.97/26.35 # SZS status Unsatisfiable
% 205.97/26.35 # SZS output start CNFRefutation
% See solution above
% 205.97/26.35 # Parsed axioms : 18
% 205.97/26.35 # Removed by relevancy pruning/SinE : 0
% 205.97/26.35 # Initial clauses : 18
% 205.97/26.35 # Removed in clause preprocessing : 0
% 205.97/26.35 # Initial clauses in saturation : 18
% 205.97/26.35 # Processed clauses : 13325
% 205.97/26.35 # ...of these trivial : 145
% 205.97/26.35 # ...subsumed : 7619
% 205.97/26.35 # ...remaining for further processing : 5561
% 205.97/26.35 # Other redundant clauses eliminated : 0
% 205.97/26.35 # Clauses deleted for lack of memory : 0
% 205.97/26.35 # Backward-subsumed : 1309
% 205.97/26.35 # Backward-rewritten : 69
% 205.97/26.35 # Generated clauses : 543513
% 205.97/26.35 # ...of the previous two non-redundant : 337943
% 205.97/26.35 # ...aggressively subsumed : 0
% 205.97/26.35 # Contextual simplify-reflections : 278
% 205.97/26.35 # Paramodulations : 543513
% 205.97/26.35 # Factorizations : 0
% 205.97/26.35 # NegExts : 0
% 205.97/26.35 # Equation resolutions : 0
% 205.97/26.35 # Total rewrite steps : 241412
% 205.97/26.35 # Propositional unsat checks : 1
% 205.97/26.35 # Propositional check models : 1
% 205.97/26.35 # Propositional check unsatisfiable : 0
% 205.97/26.35 # Propositional clauses : 0
% 205.97/26.35 # Propositional clauses after purity: 0
% 205.97/26.35 # Propositional unsat core size : 0
% 205.97/26.35 # Propositional preprocessing time : 0.000
% 205.97/26.35 # Propositional encoding time : 0.953
% 205.97/26.35 # Propositional solver time : 0.020
% 205.97/26.35 # Success case prop preproc time : 0.000
% 205.97/26.35 # Success case prop encoding time : 0.000
% 205.97/26.35 # Success case prop solver time : 0.000
% 205.97/26.35 # Current number of processed clauses : 4165
% 205.97/26.35 # Positive orientable unit clauses : 54
% 205.97/26.35 # Positive unorientable unit clauses: 0
% 205.97/26.35 # Negative unit clauses : 6
% 205.97/26.35 # Non-unit-clauses : 4105
% 205.97/26.35 # Current number of unprocessed clauses: 318208
% 205.97/26.35 # ...number of literals in the above : 3138398
% 205.97/26.35 # Current number of archived formulas : 0
% 205.97/26.35 # Current number of archived clauses : 1396
% 205.97/26.35 # Clause-clause subsumption calls (NU) : 3477298
% 205.97/26.35 # Rec. Clause-clause subsumption calls : 204376
% 205.97/26.35 # Non-unit clause-clause subsumptions : 7346
% 205.97/26.35 # Unit Clause-clause subsumption calls : 6985
% 205.97/26.35 # Rewrite failures with RHS unbound : 0
% 205.97/26.35 # BW rewrite match attempts : 676
% 205.97/26.35 # BW rewrite match successes : 4
% 205.97/26.35 # Condensation attempts : 0
% 205.97/26.35 # Condensation successes : 0
% 205.97/26.35 # Termbank termtop insertions : 46330139
% 205.97/26.35
% 205.97/26.35 # -------------------------------------------------
% 205.97/26.35 # User time : 25.497 s
% 205.97/26.35 # System time : 0.354 s
% 205.97/26.35 # Total time : 25.851 s
% 205.97/26.35 # Maximum resident set size: 1616 pages
% 205.97/26.35
% 205.97/26.35 # -------------------------------------------------
% 205.97/26.35 # User time : 25.499 s
% 205.97/26.35 # System time : 0.356 s
% 205.97/26.35 # Total time : 25.855 s
% 205.97/26.35 # Maximum resident set size: 1692 pages
% 205.97/26.35 % E---3.1 exiting
%------------------------------------------------------------------------------