%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU199+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 : n008.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 02:51:18 PM UTC 2026
% Result : Theorem 6.18s 6.41s
% Output : Proof 6.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 5 unt; 0 def)
% Number of atoms : 116 ( 7 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 139 ( 54 ~; 55 |; 19 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 74 ( 6 sgn 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f11_nnf,plain,
! [A,B] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [B,A] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c21,plain,
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f27,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f27_neg,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f27_nnf,plain,
? [A,B] :
( ~ subset(relation_rng_restriction(A,B),B)
& relation(B) ),
inference(nnf_transformation,[status(thm)],[f27_neg]) ).
fof(f27_sk,plain,
( ~ subset(relation_rng_restriction(sk11,sk12),sk12)
& relation(sk12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11,sk12])],[f27_nnf]) ).
cnf(c42,plain,
relation(sk12),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p153,plain,
relation(relation_rng_restriction(X0,sk12)),
inference(resolution,[status(thm)],[c21,c42]) ).
fof(f4,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
<=> ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_relat_1) ).
fof(f4_nnf,plain,
! [A] :
( ! [B] :
( ( ( ? [C,D] :
( ~ in(ordered_pair(C,D),B)
& in(ordered_pair(C,D),A) )
| subset(A,B) )
& ( ! [C,D] :
( in(ordered_pair(C,D),B)
| ~ in(ordered_pair(C,D),A) )
| ~ subset(A,B) ) )
| ~ relation(B) )
| ~ 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)),B)
& in(ordered_pair(sk2(A,B),sk3(A,B)),A) )
| subset(A,B) )
& ( in(ordered_pair(C,D),B)
| ~ in(ordered_pair(C,D),A)
| ~ subset(A,B) ) )
| ~ relation(B)
| ~ relation(A) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f4_nnf]) ).
cnf(c13,plain,
( in(ordered_pair(sk2(X0,X1),sk3(X0,X1)),X0)
| subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p174,plain,
( in(ordered_pair(sk2(relation_rng_restriction(X1,sk12),X0),sk3(relation_rng_restriction(X1,sk12),X0)),relation_rng_restriction(X1,sk12))
| subset(relation_rng_restriction(X1,sk12),X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[p153,c13]) ).
cnf(p450,plain,
( in(ordered_pair(sk2(relation_rng_restriction(X0,sk12),sk12),sk3(relation_rng_restriction(X0,sk12),sk12)),relation_rng_restriction(X0,sk12))
| subset(relation_rng_restriction(X0,sk12),sk12) ),
inference(resolution,[status(thm)],[p174,c42]) ).
fof(f3,axiom,
! [A,B] :
( relation(B)
=> ! [C] :
( relation(C)
=> ( C = relation_rng_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(ordered_pair(D,E),B)
& in(E,A) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f3_nnf,plain,
! [A,B] :
( ! [C] :
( ( ( ? [D,E] :
( ( in(ordered_pair(D,E),B)
& in(E,A)
& ~ in(ordered_pair(D,E),C) )
| ( ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A) )
& in(ordered_pair(D,E),C) ) )
| C = relation_rng_restriction(A,B) )
& ( ! [D,E] :
( ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| in(ordered_pair(D,E),C) )
& ( ( in(ordered_pair(D,E),B)
& in(E,A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_rng_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [B,C,A,D,E] :
( ( ( ( in(ordered_pair(sk0(A,B,C),sk1(A,B,C)),B)
& in(sk1(A,B,C),A)
& ~ in(ordered_pair(sk0(A,B,C),sk1(A,B,C)),C) )
| ( ( ~ in(ordered_pair(sk0(A,B,C),sk1(A,B,C)),B)
| ~ in(sk1(A,B,C),A) )
& in(ordered_pair(sk0(A,B,C),sk1(A,B,C)),C) )
| C = relation_rng_restriction(A,B) )
& ( ( ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| in(ordered_pair(D,E),C) )
& ( ( in(ordered_pair(D,E),B)
& in(E,A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_rng_restriction(A,B) ) )
| ~ relation(C)
| ~ relation(B) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f3_nnf]) ).
cnf(c4,plain,
( in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2)
| X2 != relation_rng_restriction(X0,X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p67,plain,
( in(ordered_pair(X2,X3),sk12)
| ~ in(ordered_pair(X2,X3),X0)
| X0 != relation_rng_restriction(X1,sk12)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c4,c42]) ).
cnf(p71,plain,
( in(ordered_pair(X1,X2),sk12)
| ~ in(ordered_pair(X1,X2),relation_rng_restriction(X0,sk12))
| ~ relation(relation_rng_restriction(X0,sk12)) ),
inference(equality_resolution,[status(thm)],[p67]) ).
cnf(p163,plain,
( in(ordered_pair(X0,X1),sk12)
| ~ in(ordered_pair(X0,X1),relation_rng_restriction(X2,sk12)) ),
inference(resolution,[status(thm)],[p153,p71]) ).
cnf(p469,plain,
( in(ordered_pair(sk2(relation_rng_restriction(X0,sk12),sk12),sk3(relation_rng_restriction(X0,sk12),sk12)),sk12)
| subset(relation_rng_restriction(X0,sk12),sk12) ),
inference(resolution,[status(thm)],[p450,p163]) ).
cnf(c14,plain,
( ~ in(ordered_pair(sk2(X0,X1),sk3(X0,X1)),X1)
| subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p176,plain,
( ~ in(ordered_pair(sk2(relation_rng_restriction(X1,sk12),X0),sk3(relation_rng_restriction(X1,sk12),X0)),X0)
| subset(relation_rng_restriction(X1,sk12),X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[p153,c14]) ).
cnf(p370,plain,
( ~ in(ordered_pair(sk2(relation_rng_restriction(X0,sk12),sk12),sk3(relation_rng_restriction(X0,sk12),sk12)),sk12)
| subset(relation_rng_restriction(X0,sk12),sk12) ),
inference(resolution,[status(thm)],[p176,c42]) ).
cnf(p479,plain,
( subset(relation_rng_restriction(X0,sk12),sk12)
| subset(relation_rng_restriction(X0,sk12),sk12) ),
inference(resolution,[status(thm)],[p469,p370]) ).
cnf(p481,plain,
subset(relation_rng_restriction(X0,sk12),sk12),
inference(factoring,[status(thm)],[p479]) ).
cnf(c43,plain,
~ subset(relation_rng_restriction(sk11,sk12),sk12),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p482,plain,
$false,
inference(resolution,[status(thm)],[p481,c43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU199+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.36 % Computer : n008.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Thu Sep 24 13:09:29 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.18/6.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.18/6.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------