%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU041+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 02:50:52 PM UTC 2026
% Result : Theorem 5.02s 16.11s
% Output : Proof 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 60 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 26 ~; 19 |; 10 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_relat_1) ).
fof(f33_nnf,plain,
! [A,B,C] :
( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
| ~ subset(A,B)
| ~ relation(C) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [C,A,B] :
( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
| ~ subset(A,B)
| ~ relation(C) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c54,plain,
( relation_dom_restriction(relation_dom_restriction(X2,X1),X0) = relation_dom_restriction(X2,X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
fof(f31,conjecture,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
& relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t82_funct_1) ).
fof(f31_neg,negated_conjecture,
~ ! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
& relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f31_nnf,plain,
? [A,B,C] :
( ( relation_dom_restriction(relation_dom_restriction(C,B),A) != relation_dom_restriction(C,A)
| relation_dom_restriction(relation_dom_restriction(C,A),B) != relation_dom_restriction(C,A) )
& subset(A,B)
& function(C)
& relation(C) ),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
( ( relation_dom_restriction(relation_dom_restriction(sk13,sk12),sk11) != relation_dom_restriction(sk13,sk11)
| relation_dom_restriction(relation_dom_restriction(sk13,sk11),sk12) != relation_dom_restriction(sk13,sk11) )
& subset(sk11,sk12)
& function(sk13)
& relation(sk13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11,sk12,sk13])],[f31_nnf]) ).
cnf(c49,plain,
relation(sk13),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p120,plain,
( relation_dom_restriction(relation_dom_restriction(sk13,X1),X0) = relation_dom_restriction(sk13,X0)
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[c54,c49]) ).
cnf(c51,plain,
subset(sk11,sk12),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p220,plain,
relation_dom_restriction(relation_dom_restriction(sk13,sk12),sk11) = relation_dom_restriction(sk13,sk11),
inference(resolution,[status(thm)],[p120,c51]) ).
fof(f32,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_relat_1) ).
fof(f32_nnf,plain,
! [A,B,C] :
( relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A)
| ~ subset(A,B)
| ~ relation(C) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [C,A,B] :
( relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A)
| ~ subset(A,B)
| ~ relation(C) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c53,plain,
( relation_dom_restriction(relation_dom_restriction(X2,X0),X1) = relation_dom_restriction(X2,X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p114,plain,
( relation_dom_restriction(relation_dom_restriction(sk13,X0),X1) = relation_dom_restriction(sk13,X0)
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[c53,c49]) ).
cnf(p201,plain,
relation_dom_restriction(relation_dom_restriction(sk13,sk11),sk12) = relation_dom_restriction(sk13,sk11),
inference(resolution,[status(thm)],[p114,c51]) ).
cnf(c52,plain,
( relation_dom_restriction(relation_dom_restriction(sk13,sk12),sk11) != relation_dom_restriction(sk13,sk11)
| relation_dom_restriction(relation_dom_restriction(sk13,sk11),sk12) != relation_dom_restriction(sk13,sk11) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p202,plain,
( relation_dom_restriction(relation_dom_restriction(sk13,sk12),sk11) != relation_dom_restriction(sk13,sk11)
| relation_dom_restriction(sk13,sk11) != relation_dom_restriction(sk13,sk11) ),
inference(demodulation,[status(thm)],[p201,c52]) ).
cnf(p221,plain,
( relation_dom_restriction(sk13,sk11) != relation_dom_restriction(sk13,sk11)
| relation_dom_restriction(sk13,sk11) != relation_dom_restriction(sk13,sk11) ),
inference(demodulation,[status(thm)],[p220,p202]) ).
cnf(p348,plain,
relation_dom_restriction(sk13,sk11) != relation_dom_restriction(sk13,sk11),
inference(factoring,[status(thm)],[p221]) ).
cnf(p656,plain,
$false,
inference(equality_resolution,[status(thm)],[p348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU041+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/15.38 % Computer : n020.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Thu Sep 24 12:38:34 UTC 2026
% 0.09/15.39 % CPUTime :
% 0.09/15.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.02/16.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.02/16.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------