%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 02:50:55 PM UTC 2026
% Result : Theorem 7.89s 1.70s
% Output : Proof 7.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 18 unt; 0 def)
% Number of atoms : 105 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 40 ~; 35 |; 23 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 2 sgn 26 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B] :
( A = B
<=> ( subset(B,A)
& subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f4_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)],[f4]) ).
fof(f4_sk,plain,
! [A,B] :
( ( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c8,plain,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(c7,plain,
( subset(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f24,conjecture,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( ( subset(B,relation_rng(C))
& subset(A,relation_rng(C))
& relation_inverse_image(C,A) = relation_inverse_image(C,B) )
=> A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t161_funct_1) ).
fof(f24_neg,negated_conjecture,
~ ! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( ( subset(B,relation_rng(C))
& subset(A,relation_rng(C))
& relation_inverse_image(C,A) = relation_inverse_image(C,B) )
=> A = B ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f24_nnf,plain,
? [A,B,C] :
( A != B
& subset(B,relation_rng(C))
& subset(A,relation_rng(C))
& relation_inverse_image(C,A) = relation_inverse_image(C,B)
& function(C)
& relation(C) ),
inference(nnf_transformation,[status(thm)],[f24_neg]) ).
fof(f24_sk,plain,
( sk11 != sk12
& subset(sk12,relation_rng(sk13))
& subset(sk11,relation_rng(sk13))
& relation_inverse_image(sk13,sk11) = relation_inverse_image(sk13,sk12)
& function(sk13)
& relation(sk13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11,sk12,sk13])],[f24_nnf]) ).
cnf(c44,plain,
relation_inverse_image(sk13,sk11) = relation_inverse_image(sk13,sk12),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p69,plain,
subset(relation_inverse_image(sk13,sk12),relation_inverse_image(sk13,sk11)),
inference(resolution,[status(thm)],[c7,c44]) ).
cnf(p73,plain,
( ~ subset(relation_inverse_image(sk13,sk11),relation_inverse_image(sk13,sk12))
| relation_inverse_image(sk13,sk12) = relation_inverse_image(sk13,sk11) ),
inference(resolution,[status(thm)],[c8,p69]) ).
cnf(c6,plain,
( subset(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p68,plain,
subset(relation_inverse_image(sk13,sk11),relation_inverse_image(sk13,sk12)),
inference(resolution,[status(thm)],[c6,c44]) ).
cnf(p75,plain,
relation_inverse_image(sk13,sk12) = relation_inverse_image(sk13,sk11),
inference(resolution,[status(thm)],[p73,p68]) ).
fof(f23,axiom,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( ( subset(A,relation_rng(C))
& subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) )
=> subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_funct_1) ).
fof(f23_nnf,plain,
! [A,B,C] :
( subset(A,B)
| ~ subset(A,relation_rng(C))
| ~ subset(relation_inverse_image(C,A),relation_inverse_image(C,B))
| ~ function(C)
| ~ relation(C) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [C,A,B] :
( subset(A,B)
| ~ subset(A,relation_rng(C))
| ~ subset(relation_inverse_image(C,A),relation_inverse_image(C,B))
| ~ function(C)
| ~ relation(C) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c41,plain,
( subset(X0,X1)
| ~ subset(X0,relation_rng(X2))
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(c42,plain,
relation(sk13),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p110,plain,
( subset(X0,X1)
| ~ subset(X0,relation_rng(sk13))
| ~ subset(relation_inverse_image(sk13,X0),relation_inverse_image(sk13,X1))
| ~ function(sk13) ),
inference(resolution,[status(thm)],[c41,c42]) ).
cnf(c43,plain,
function(sk13),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p124,plain,
( subset(X0,X1)
| ~ subset(X0,relation_rng(sk13))
| ~ subset(relation_inverse_image(sk13,X0),relation_inverse_image(sk13,X1)) ),
inference(resolution,[status(thm)],[p110,c43]) ).
cnf(p126,plain,
( subset(X0,sk12)
| ~ subset(X0,relation_rng(sk13))
| ~ subset(relation_inverse_image(sk13,X0),relation_inverse_image(sk13,sk11)) ),
inference(superposition,[status(thm)],[p75,p124]) ).
fof(f22,axiom,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f22_nnf,plain,
! [A,B] : subset(A,A),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [A] : subset(A,A),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c40,plain,
subset(X0,X0),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p130,plain,
( subset(sk11,sk12)
| ~ subset(sk11,relation_rng(sk13)) ),
inference(resolution,[status(thm)],[p126,c40]) ).
cnf(c45,plain,
subset(sk11,relation_rng(sk13)),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p131,plain,
subset(sk11,sk12),
inference(resolution,[status(thm)],[p130,c45]) ).
cnf(p125,plain,
( subset(sk12,X0)
| ~ subset(sk12,relation_rng(sk13))
| ~ subset(relation_inverse_image(sk13,sk11),relation_inverse_image(sk13,X0)) ),
inference(superposition,[status(thm)],[p75,p124]) ).
cnf(p127,plain,
( subset(sk12,sk11)
| ~ subset(sk12,relation_rng(sk13)) ),
inference(resolution,[status(thm)],[p125,c40]) ).
cnf(c46,plain,
subset(sk12,relation_rng(sk13)),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p128,plain,
subset(sk12,sk11),
inference(resolution,[status(thm)],[p127,c46]) ).
cnf(p129,plain,
( ~ subset(sk11,sk12)
| sk12 = sk11 ),
inference(resolution,[status(thm)],[p128,c8]) ).
cnf(p136,plain,
sk12 = sk11,
inference(resolution,[status(thm)],[p131,p129]) ).
cnf(c47,plain,
sk11 != sk12,
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p137,plain,
sk11 != sk11,
inference(demodulation,[status(thm)],[p136,c47]) ).
cnf(p138,plain,
$false,
inference(equality_resolution,[status(thm)],[p137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 12:46:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.89/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.89/1.70 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------