%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 02:51:30 PM UTC 2026
% Result : Theorem 4.79s 1.18s
% Output : Proof 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 25 ~; 25 |; 11 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 3 sgn 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_field(relation_restriction(C,B)))
=> ( in(A,B)
& in(A,relation_field(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f30_nnf,plain,
! [A,B,C] :
( ( in(A,B)
& in(A,relation_field(C)) )
| ~ in(A,relation_field(relation_restriction(C,B)))
| ~ relation(C) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [C,A,B] :
( ( in(A,B)
& in(A,relation_field(C)) )
| ~ in(A,relation_field(relation_restriction(C,B)))
| ~ relation(C) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c39,plain,
( in(X0,relation_field(X2))
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
fof(f33,conjecture,
! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),A)
& subset(relation_field(relation_restriction(B,A)),relation_field(B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_wellord1) ).
fof(f33_neg,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),A)
& subset(relation_field(relation_restriction(B,A)),relation_field(B)) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f33_nnf,plain,
? [A,B] :
( ( ~ subset(relation_field(relation_restriction(B,A)),A)
| ~ subset(relation_field(relation_restriction(B,A)),relation_field(B)) )
& relation(B) ),
inference(nnf_transformation,[status(thm)],[f33_neg]) ).
fof(f33_sk,plain,
( ( ~ subset(relation_field(relation_restriction(sk8,sk7)),sk7)
| ~ subset(relation_field(relation_restriction(sk8,sk7)),relation_field(sk8)) )
& relation(sk8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7,sk8])],[f33_nnf]) ).
cnf(c43,plain,
relation(sk8),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p114,plain,
( in(X0,relation_field(sk8))
| ~ in(X0,relation_field(relation_restriction(sk8,X1))) ),
inference(resolution,[status(thm)],[c39,c43]) ).
fof(f5,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5_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)],[f5]) ).
fof(f5_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])],[f5_nnf]) ).
cnf(c8,plain,
( in(sk0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p123,plain,
( subset(relation_field(relation_restriction(sk8,X0)),X1)
| in(sk0(relation_field(relation_restriction(sk8,X0)),X1),relation_field(sk8)) ),
inference(resolution,[status(thm)],[p114,c8]) ).
cnf(c9,plain,
( ~ in(sk0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p163,plain,
( subset(relation_field(relation_restriction(sk8,X0)),relation_field(sk8))
| subset(relation_field(relation_restriction(sk8,X0)),relation_field(sk8)) ),
inference(resolution,[status(thm)],[p123,c9]) ).
cnf(p165,plain,
subset(relation_field(relation_restriction(sk8,X0)),relation_field(sk8)),
inference(factoring,[status(thm)],[p163]) ).
cnf(c44,plain,
( ~ subset(relation_field(relation_restriction(sk8,sk7)),sk7)
| ~ subset(relation_field(relation_restriction(sk8,sk7)),relation_field(sk8)) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p170,plain,
~ subset(relation_field(relation_restriction(sk8,sk7)),sk7),
inference(resolution,[status(thm)],[p165,c44]) ).
cnf(c40,plain,
( in(X0,X1)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p131,plain,
( in(X0,X1)
| ~ in(X0,relation_field(relation_restriction(sk8,X1))) ),
inference(resolution,[status(thm)],[c40,c43]) ).
cnf(p141,plain,
( subset(relation_field(relation_restriction(sk8,X0)),X1)
| in(sk0(relation_field(relation_restriction(sk8,X0)),X1),X0) ),
inference(resolution,[status(thm)],[p131,c8]) ).
cnf(p148,plain,
( subset(relation_field(relation_restriction(sk8,X0)),X0)
| subset(relation_field(relation_restriction(sk8,X0)),X0) ),
inference(resolution,[status(thm)],[p141,c9]) ).
cnf(p158,plain,
subset(relation_field(relation_restriction(sk8,X0)),X0),
inference(factoring,[status(thm)],[p148]) ).
cnf(p172,plain,
$false,
inference(resolution,[status(thm)],[p170,p158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 13:24:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.79/1.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.79/1.18 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------