TSTP Solution File: SET862-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:36:03 EDT 2023
% Result : Unsatisfiable 1.52s 1.70s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 31
% Syntax : Number of formulae : 91 ( 9 unt; 16 typ; 0 def)
% Number of atoms : 207 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 236 ( 104 ~; 132 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 11 >; 16 *; 0 +; 0 <<)
% 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 : 131 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_set: $i > $i ).
tff(decl_23,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_Main_OsubsetI__1: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Zorn_Ochain: ( $i * $i ) > $i ).
tff(decl_27,type,
c_Zorn_Ochain__extend__1: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
c_emptyset: $i ).
tff(decl_29,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_Zorn_Omaxchain: ( $i * $i ) > $i ).
tff(decl_32,type,
c_Zorn_Omaxchain__super__lemma__1: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
v_c: $i ).
tff(decl_34,type,
v_S: $i ).
tff(decl_35,type,
t_a: $i ).
tff(decl_36,type,
v_y: $i ).
tff(decl_37,type,
v_x: $i > $i ).
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_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_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_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_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_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_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_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_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_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(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(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(c_union(c_insert(v_x(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(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_20,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
c_in(v_y,v_S,tc_set(t_a)),
cls_conjecture_2 ).
cnf(c_0_23,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_24,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_25,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_26,negated_conjecture,
( c_in(c_union(c_insert(v_x(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_x(v_y))),t_a),v_c,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,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_28,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_29,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_30,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_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(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_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_25,c_0_26]),c_0_27])]) ).
cnf(c_0_32,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_33,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(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_x(v_y))),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_27])]) ).
cnf(c_0_34,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_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(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_x(v_y))),t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_36,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_37,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_38,negated_conjecture,
( X1 != v_x(X1)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
cls_conjecture_6 ).
cnf(c_0_39,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_34,c_0_30]),c_0_18]) ).
cnf(c_0_40,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(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_x(v_y))),X1,t_a),v_y,t_a)
| c_lessequals(v_x(v_x(v_x(v_y))),X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,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_37,c_0_24]),c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_x(v_y))),t_a),v_c,tc_set(t_a))
| c_lessequals(v_x(v_x(v_x(v_y))),v_x(v_x(v_y)),tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_22])]) ).
cnf(c_0_43,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_23,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_x(v_y))),t_a),v_c,tc_set(t_a))
| ~ c_in(v_x(v_x(v_y)),v_S,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(X1,c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_x(v_y))),t_a),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_46,negated_conjecture,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(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_x(v_y))),t_a),X1,tc_set(t_a))
| ~ c_in(v_x(v_x(v_y)),v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_45,c_0_36]) ).
cnf(c_0_47,negated_conjecture,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(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_x(v_y))),t_a),X1,tc_set(t_a))
| ~ c_in(v_x(v_y),v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_46,c_0_18]) ).
cnf(c_0_48,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_49,negated_conjecture,
( c_lessequals(X1,v_x(v_x(v_x(X2))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_x(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_39,c_0_30]),c_0_18]) ).
cnf(c_0_50,negated_conjecture,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(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_x(v_y))),t_a),X1,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_18]),c_0_22])]) ).
cnf(c_0_51,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_48,c_0_16]) ).
cnf(c_0_52,negated_conjecture,
c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_x(v_x(v_y))),t_a),v_x(v_x(v_x(v_y))),tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_22])]) ).
cnf(c_0_53,negated_conjecture,
( c_in(c_union(c_insert(v_x(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_x(v_x(v_y))),v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,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_x(v_x(v_y))),v_S,tc_set(t_a))
| ~ c_in(X2,v_x(v_x(v_x(v_y))),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_53]),c_0_27])]) ).
cnf(c_0_55,negated_conjecture,
( c_in(X1,X2,t_a)
| ~ c_in(v_x(v_x(v_x(v_y))),v_S,tc_set(t_a))
| ~ c_in(X1,v_x(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_25,c_0_53]),c_0_27])]) ).
cnf(c_0_56,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_x(v_y)),v_S,tc_set(t_a))
| ~ c_in(X2,v_x(v_x(v_x(v_y))),t_a) ),
inference(spm,[status(thm)],[c_0_54,c_0_18]) ).
cnf(c_0_57,negated_conjecture,
( c_in(X1,X2,t_a)
| ~ c_in(v_x(v_x(v_y)),v_S,tc_set(t_a))
| ~ c_in(X1,v_x(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(spm,[status(thm)],[c_0_55,c_0_18]) ).
cnf(c_0_58,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_x(v_y))),t_a)
| ~ c_in(v_x(v_y),v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_56,c_0_18]) ).
cnf(c_0_59,negated_conjecture,
( c_lessequals(X1,v_x(v_x(X1)),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_39,c_0_36]) ).
cnf(c_0_60,negated_conjecture,
( c_in(X1,X2,t_a)
| ~ c_in(X1,v_x(v_x(v_x(v_y))),t_a)
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_57,c_0_18]) ).
cnf(c_0_61,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_x(v_y))),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_18]),c_0_22])]) ).
cnf(c_0_62,negated_conjecture,
( c_in(X1,v_x(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_23,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( c_in(X1,X2,t_a)
| ~ c_in(X1,v_x(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_60,c_0_18]),c_0_22])]) ).
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(v_x(v_y),v_S,tc_set(t_a))
| ~ c_in(X2,v_x(v_y),t_a) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a))
| ~ c_in(X1,v_x(v_x(v_x(v_y))),t_a) ),
inference(spm,[status(thm)],[c_0_63,c_0_32]) ).
cnf(c_0_66,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_y),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_18]),c_0_22])]) ).
cnf(c_0_67,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(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_62]) ).
cnf(c_0_68,negated_conjecture,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x(v_y),X2,t_a),X1,t_a)
| c_lessequals(v_x(v_y),X2,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_66,c_0_36]) ).
cnf(c_0_69,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(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_67,c_0_18]),c_0_22])]) ).
cnf(c_0_70,negated_conjecture,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_lessequals(v_x(v_y),X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_29,c_0_68]) ).
cnf(c_0_71,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(X1,v_x(v_y),t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_23]) ).
cnf(c_0_72,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_71,c_0_36]) ).
cnf(c_0_73,negated_conjecture,
c_lessequals(v_x(v_y),v_y,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_29,c_0_72]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_73]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.29 % Computer : n025.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sat Aug 26 09:43:37 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.13/0.47 start to proof: theBenchmark
% 1.52/1.70 % Version : CSE_E---1.5
% 1.52/1.70 % Problem : theBenchmark.p
% 1.52/1.70 % Proof found
% 1.52/1.70 % SZS status Theorem for theBenchmark.p
% 1.52/1.70 % SZS output start Proof
% See solution above
% 1.62/1.70 % Total time : 1.220000 s
% 1.62/1.70 % SZS output end Proof
% 1.62/1.70 % Total time : 1.221000 s
%------------------------------------------------------------------------------