%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU181+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 : Fri Sep 25 02:51:15 PM UTC 2026
% Result : Theorem 27.28s 14.51s
% Output : Proof 27.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 10 unt; 0 def)
% Number of atoms : 270 ( 52 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 309 ( 122 ~; 134 |; 37 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-3 aty)
% Number of variables : 155 ( 10 sgn 56 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f5_nnf,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(D,C),A)
& ~ in(C,B) )
| ( ! [D] : ~ in(ordered_pair(D,C),A)
& in(C,B) ) )
| B = relation_rng(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [A,B,C,D] :
( ( ( ( in(ordered_pair(sk6(A,B),sk5(A,B)),A)
& ~ in(sk5(A,B),B) )
| ( ~ in(ordered_pair(D,sk5(A,B)),A)
& in(sk5(A,B),B) )
| B = relation_rng(A) )
& ( ( ( ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ( in(ordered_pair(sk4(A,B,C),C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6])],[f5_nnf]) ).
cnf(c14,plain,
( in(ordered_pair(sk4(X0,X1,X2),X2),X0)
| ~ in(X2,X1)
| X1 != relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f14,axiom,
! [A] :
( relation(A)
=> relation(relation_inverse(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f14_nnf,plain,
! [A] :
( relation(relation_inverse(A))
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A] :
( relation(relation_inverse(A))
| ~ relation(A) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c33,plain,
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
fof(f32,conjecture,
! [A] :
( relation(A)
=> ( relation_dom(A) = relation_rng(relation_inverse(A))
& relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f32_neg,negated_conjecture,
~ ! [A] :
( relation(A)
=> ( relation_dom(A) = relation_rng(relation_inverse(A))
& relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f32_nnf,plain,
? [A] :
( ( relation_dom(A) != relation_rng(relation_inverse(A))
| relation_rng(A) != relation_dom(relation_inverse(A)) )
& relation(A) ),
inference(nnf_transformation,[status(thm)],[f32_neg]) ).
fof(f32_sk,plain,
( ( relation_dom(sk15) != relation_rng(relation_inverse(sk15))
| relation_rng(sk15) != relation_dom(relation_inverse(sk15)) )
& relation(sk15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk15])],[f32_nnf]) ).
cnf(c54,plain,
relation(sk15),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p65,plain,
relation(relation_inverse(sk15)),
inference(resolution,[status(thm)],[c33,c54]) ).
cnf(p188,plain,
( in(ordered_pair(sk4(relation_inverse(sk15),X0,X1),X1),relation_inverse(sk15))
| ~ in(X1,X0)
| X0 != relation_rng(relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[c14,p65]) ).
cnf(p291,plain,
( in(ordered_pair(sk4(relation_inverse(sk15),relation_rng(relation_inverse(sk15)),X0),X0),relation_inverse(sk15))
| ~ in(X0,relation_rng(relation_inverse(sk15))) ),
inference(equality_resolution,[status(thm)],[p188]) ).
fof(f3,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f3_nnf,plain,
! [A,B] :
( ( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A,B,C] :
( ( ( ~ in(sk0(A,B),B)
& in(sk0(A,B),A) )
| subset(A,B) )
& ( in(C,B)
| ~ in(C,A)
| ~ subset(A,B) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f3_nnf]) ).
cnf(c6,plain,
( in(sk0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p292,plain,
( subset(relation_rng(relation_inverse(sk15)),X0)
| in(ordered_pair(sk4(relation_inverse(sk15),relation_rng(relation_inverse(sk15)),sk0(relation_rng(relation_inverse(sk15)),X0)),sk0(relation_rng(relation_inverse(sk15)),X0)),relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[p291,c6]) ).
fof(f7,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( B = relation_inverse(A)
<=> ! [C,D] :
( in(ordered_pair(C,D),B)
<=> in(ordered_pair(D,C),A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_relat_1) ).
fof(f7_nnf,plain,
! [A] :
( ! [B] :
( ( ( ? [C,D] :
( ( in(ordered_pair(D,C),A)
& ~ in(ordered_pair(C,D),B) )
| ( ~ in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),B) ) )
| B = relation_inverse(A) )
& ( ! [C,D] :
( ( ~ in(ordered_pair(D,C),A)
| in(ordered_pair(C,D),B) )
& ( in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),B) ) )
| B != relation_inverse(A) ) )
| ~ relation(B) )
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [A,B,C,D] :
( ( ( ( in(ordered_pair(sk8(A,B),sk7(A,B)),A)
& ~ in(ordered_pair(sk7(A,B),sk8(A,B)),B) )
| ( ~ in(ordered_pair(sk8(A,B),sk7(A,B)),A)
& in(ordered_pair(sk7(A,B),sk8(A,B)),B) )
| B = relation_inverse(A) )
& ( ( ( ~ in(ordered_pair(D,C),A)
| in(ordered_pair(C,D),B) )
& ( in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),B) ) )
| B != relation_inverse(A) ) )
| ~ relation(B)
| ~ relation(A) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7,sk8])],[f7_nnf]) ).
cnf(c21,plain,
( in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1)
| X1 != relation_inverse(X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p353,plain,
( in(ordered_pair(X2,X1),sk15)
| ~ in(ordered_pair(X1,X2),X0)
| X0 != relation_inverse(sk15)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c21,c54]) ).
cnf(p394,plain,
( in(ordered_pair(X1,X0),sk15)
| ~ in(ordered_pair(X0,X1),relation_inverse(sk15))
| ~ relation(relation_inverse(sk15)) ),
inference(equality_resolution,[status(thm)],[p353]) ).
cnf(p415,plain,
( in(ordered_pair(X1,X0),sk15)
| ~ in(ordered_pair(X0,X1),relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[p394,p65]) ).
cnf(p1553,plain,
( in(ordered_pair(sk0(relation_rng(relation_inverse(sk15)),X0),sk4(relation_inverse(sk15),relation_rng(relation_inverse(sk15)),sk0(relation_rng(relation_inverse(sk15)),X0))),sk15)
| subset(relation_rng(relation_inverse(sk15)),X0) ),
inference(resolution,[status(thm)],[p292,p415]) ).
fof(f4,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f4_nnf,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(C,D),A)
& ~ in(C,B) )
| ( ! [D] : ~ in(ordered_pair(C,D),A)
& in(C,B) ) )
| B = relation_dom(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A,B,C,D] :
( ( ( ( in(ordered_pair(sk2(A,B),sk3(A,B)),A)
& ~ in(sk2(A,B),B) )
| ( ~ in(ordered_pair(sk2(A,B),D),A)
& in(sk2(A,B),B) )
| B = relation_dom(A) )
& ( ( ( ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ( in(ordered_pair(C,sk1(A,B,C)),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3])],[f4_nnf]) ).
cnf(c9,plain,
( ~ in(ordered_pair(X2,X3),X0)
| in(X2,X1)
| X1 != relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p100,plain,
( ~ in(ordered_pair(X1,X2),sk15)
| in(X1,X0)
| X0 != relation_dom(sk15) ),
inference(resolution,[status(thm)],[c9,c54]) ).
cnf(p152,plain,
( ~ in(ordered_pair(X0,X1),sk15)
| in(X0,relation_dom(sk15)) ),
inference(equality_resolution,[status(thm)],[p100]) ).
cnf(p8343,plain,
( in(sk0(relation_rng(relation_inverse(sk15)),X0),relation_dom(sk15))
| subset(relation_rng(relation_inverse(sk15)),X0) ),
inference(resolution,[status(thm)],[p1553,p152]) ).
cnf(c7,plain,
( ~ in(sk0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p8349,plain,
( subset(relation_rng(relation_inverse(sk15)),relation_dom(sk15))
| subset(relation_rng(relation_inverse(sk15)),relation_dom(sk15)) ),
inference(resolution,[status(thm)],[p8343,c7]) ).
cnf(p8355,plain,
subset(relation_rng(relation_inverse(sk15)),relation_dom(sk15)),
inference(factoring,[status(thm)],[p8349]) ).
cnf(c22,plain,
( ~ in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X1)
| X1 != relation_inverse(X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p374,plain,
( ~ in(ordered_pair(X2,X1),sk15)
| in(ordered_pair(X1,X2),X0)
| X0 != relation_inverse(sk15)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c22,c54]) ).
cnf(p416,plain,
( ~ in(ordered_pair(X1,X0),sk15)
| in(ordered_pair(X0,X1),relation_inverse(sk15))
| ~ relation(relation_inverse(sk15)) ),
inference(equality_resolution,[status(thm)],[p374]) ).
cnf(p436,plain,
( ~ in(ordered_pair(X1,X0),sk15)
| in(ordered_pair(X0,X1),relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[p416,p65]) ).
cnf(c8,plain,
( in(ordered_pair(X2,sk1(X0,X1,X2)),X0)
| ~ in(X2,X1)
| X1 != relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p80,plain,
( in(ordered_pair(X1,sk1(sk15,X0,X1)),sk15)
| ~ in(X1,X0)
| X0 != relation_dom(sk15) ),
inference(resolution,[status(thm)],[c8,c54]) ).
cnf(p97,plain,
( in(ordered_pair(X0,sk1(sk15,relation_dom(sk15),X0)),sk15)
| ~ in(X0,relation_dom(sk15)) ),
inference(equality_resolution,[status(thm)],[p80]) ).
cnf(p98,plain,
( subset(relation_dom(sk15),X0)
| in(ordered_pair(sk0(relation_dom(sk15),X0),sk1(sk15,relation_dom(sk15),sk0(relation_dom(sk15),X0))),sk15) ),
inference(resolution,[status(thm)],[p97,c6]) ).
cnf(p438,plain,
( subset(relation_dom(sk15),X0)
| in(ordered_pair(sk1(sk15,relation_dom(sk15),sk0(relation_dom(sk15),X0)),sk0(relation_dom(sk15),X0)),relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[p436,p98]) ).
cnf(c15,plain,
( ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1)
| X1 != relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p223,plain,
( ~ in(ordered_pair(X2,X1),relation_inverse(sk15))
| in(X1,X0)
| X0 != relation_rng(relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[c15,p65]) ).
cnf(p242,plain,
( ~ in(ordered_pair(X1,X0),relation_inverse(sk15))
| in(X0,relation_rng(relation_inverse(sk15))) ),
inference(equality_resolution,[status(thm)],[p223]) ).
cnf(p1792,plain,
( in(sk0(relation_dom(sk15),X0),relation_rng(relation_inverse(sk15)))
| subset(relation_dom(sk15),X0) ),
inference(resolution,[status(thm)],[p438,p242]) ).
cnf(p1798,plain,
( subset(relation_dom(sk15),relation_rng(relation_inverse(sk15)))
| subset(relation_dom(sk15),relation_rng(relation_inverse(sk15))) ),
inference(resolution,[status(thm)],[p1792,c7]) ).
cnf(p1811,plain,
subset(relation_dom(sk15),relation_rng(relation_inverse(sk15))),
inference(factoring,[status(thm)],[p1798]) ).
fof(f2,axiom,
! [A,B] :
( A = B
<=> ( subset(B,A)
& subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f2_nnf,plain,
! [A,B] :
( ( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B] :
( ( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1812,plain,
( ~ subset(relation_rng(relation_inverse(sk15)),relation_dom(sk15))
| relation_dom(sk15) = relation_rng(relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[p1811,c4]) ).
cnf(p8359,plain,
relation_dom(sk15) = relation_rng(relation_inverse(sk15)),
inference(resolution,[status(thm)],[p8355,p1812]) ).
cnf(p82,plain,
( in(ordered_pair(X1,sk1(relation_inverse(sk15),X0,X1)),relation_inverse(sk15))
| ~ in(X1,X0)
| X0 != relation_dom(relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[c8,p65]) ).
cnf(p117,plain,
( in(ordered_pair(X0,sk1(relation_inverse(sk15),relation_dom(relation_inverse(sk15)),X0)),relation_inverse(sk15))
| ~ in(X0,relation_dom(relation_inverse(sk15))) ),
inference(equality_resolution,[status(thm)],[p82]) ).
cnf(p118,plain,
( subset(relation_dom(relation_inverse(sk15)),X0)
| in(ordered_pair(sk0(relation_dom(relation_inverse(sk15)),X0),sk1(relation_inverse(sk15),relation_dom(relation_inverse(sk15)),sk0(relation_dom(relation_inverse(sk15)),X0))),relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[p117,c6]) ).
cnf(p1434,plain,
( in(ordered_pair(sk1(relation_inverse(sk15),relation_dom(relation_inverse(sk15)),sk0(relation_dom(relation_inverse(sk15)),X0)),sk0(relation_dom(relation_inverse(sk15)),X0)),sk15)
| subset(relation_dom(relation_inverse(sk15)),X0) ),
inference(resolution,[status(thm)],[p118,p415]) ).
cnf(p221,plain,
( ~ in(ordered_pair(X2,X1),sk15)
| in(X1,X0)
| X0 != relation_rng(sk15) ),
inference(resolution,[status(thm)],[c15,c54]) ).
cnf(p240,plain,
( ~ in(ordered_pair(X1,X0),sk15)
| in(X0,relation_rng(sk15)) ),
inference(equality_resolution,[status(thm)],[p221]) ).
cnf(p7004,plain,
( in(sk0(relation_dom(relation_inverse(sk15)),X0),relation_rng(sk15))
| subset(relation_dom(relation_inverse(sk15)),X0) ),
inference(resolution,[status(thm)],[p1434,p240]) ).
cnf(p7016,plain,
( subset(relation_dom(relation_inverse(sk15)),relation_rng(sk15))
| subset(relation_dom(relation_inverse(sk15)),relation_rng(sk15)) ),
inference(resolution,[status(thm)],[p7004,c7]) ).
cnf(p7022,plain,
subset(relation_dom(relation_inverse(sk15)),relation_rng(sk15)),
inference(factoring,[status(thm)],[p7016]) ).
cnf(p186,plain,
( in(ordered_pair(sk4(sk15,X0,X1),X1),sk15)
| ~ in(X1,X0)
| X0 != relation_rng(sk15) ),
inference(resolution,[status(thm)],[c14,c54]) ).
cnf(p203,plain,
( in(ordered_pair(sk4(sk15,relation_rng(sk15),X0),X0),sk15)
| ~ in(X0,relation_rng(sk15)) ),
inference(equality_resolution,[status(thm)],[p186]) ).
cnf(p204,plain,
( subset(relation_rng(sk15),X0)
| in(ordered_pair(sk4(sk15,relation_rng(sk15),sk0(relation_rng(sk15),X0)),sk0(relation_rng(sk15),X0)),sk15) ),
inference(resolution,[status(thm)],[p203,c6]) ).
cnf(p439,plain,
( subset(relation_rng(sk15),X0)
| in(ordered_pair(sk0(relation_rng(sk15),X0),sk4(sk15,relation_rng(sk15),sk0(relation_rng(sk15),X0))),relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[p436,p204]) ).
cnf(p102,plain,
( ~ in(ordered_pair(X1,X2),relation_inverse(sk15))
| in(X1,X0)
| X0 != relation_dom(relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[c9,p65]) ).
cnf(p115,plain,
( ~ in(ordered_pair(X0,X1),relation_inverse(sk15))
| in(X0,relation_dom(relation_inverse(sk15))) ),
inference(equality_resolution,[status(thm)],[p102]) ).
cnf(p1805,plain,
( in(sk0(relation_rng(sk15),X0),relation_dom(relation_inverse(sk15)))
| subset(relation_rng(sk15),X0) ),
inference(resolution,[status(thm)],[p439,p115]) ).
cnf(p1853,plain,
( subset(relation_rng(sk15),relation_dom(relation_inverse(sk15)))
| subset(relation_rng(sk15),relation_dom(relation_inverse(sk15))) ),
inference(resolution,[status(thm)],[p1805,c7]) ).
cnf(p1864,plain,
subset(relation_rng(sk15),relation_dom(relation_inverse(sk15))),
inference(factoring,[status(thm)],[p1853]) ).
cnf(p1865,plain,
( ~ subset(relation_dom(relation_inverse(sk15)),relation_rng(sk15))
| relation_rng(sk15) = relation_dom(relation_inverse(sk15)) ),
inference(resolution,[status(thm)],[p1864,c4]) ).
cnf(p7026,plain,
relation_rng(sk15) = relation_dom(relation_inverse(sk15)),
inference(resolution,[status(thm)],[p7022,p1865]) ).
cnf(c55,plain,
( relation_dom(sk15) != relation_rng(relation_inverse(sk15))
| relation_rng(sk15) != relation_dom(relation_inverse(sk15)) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p7027,plain,
relation_dom(sk15) != relation_rng(relation_inverse(sk15)),
inference(resolution,[status(thm)],[p7026,c55]) ).
cnf(p8455,plain,
$false,
inference(resolution,[status(thm)],[p8359,p7027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU181+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/10.38 % Computer : n014.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Thu Sep 24 13:05:28 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.28/14.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.28/14.51 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------