%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU047+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 : n017.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 3.91s 1.07s
% Output : Proof 3.91s
% 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(f32,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t130_relat_1) ).
fof(f32_nnf,plain,
! [A,B,C] :
( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B)
| ~ relation(C) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [C,A,B] :
( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B)
| ~ relation(C) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c52,plain,
( relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) = relation_rng_restriction(X0,X2)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
fof(f30,conjecture,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
& relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_funct_1) ).
fof(f30_neg,negated_conjecture,
~ ! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
& relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f30_nnf,plain,
? [A,B,C] :
( ( relation_rng_restriction(A,relation_rng_restriction(B,C)) != relation_rng_restriction(A,C)
| relation_rng_restriction(B,relation_rng_restriction(A,C)) != relation_rng_restriction(A,C) )
& subset(A,B)
& function(C)
& relation(C) ),
inference(nnf_transformation,[status(thm)],[f30_neg]) ).
fof(f30_sk,plain,
( ( relation_rng_restriction(sk11,relation_rng_restriction(sk12,sk13)) != relation_rng_restriction(sk11,sk13)
| relation_rng_restriction(sk12,relation_rng_restriction(sk11,sk13)) != relation_rng_restriction(sk11,sk13) )
& subset(sk11,sk12)
& function(sk13)
& relation(sk13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11,sk12,sk13])],[f30_nnf]) ).
cnf(c47,plain,
relation(sk13),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p104,plain,
( relation_rng_restriction(X0,relation_rng_restriction(X1,sk13)) = relation_rng_restriction(X0,sk13)
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[c52,c47]) ).
cnf(c49,plain,
subset(sk11,sk12),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p190,plain,
relation_rng_restriction(sk11,relation_rng_restriction(sk12,sk13)) = relation_rng_restriction(sk11,sk13),
inference(resolution,[status(thm)],[p104,c49]) ).
fof(f31,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t129_relat_1) ).
fof(f31_nnf,plain,
! [A,B,C] :
( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B)
| ~ relation(C) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [C,A,B] :
( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B)
| ~ relation(C) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c51,plain,
( relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) = relation_rng_restriction(X0,X2)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p98,plain,
( relation_rng_restriction(X1,relation_rng_restriction(X0,sk13)) = relation_rng_restriction(X0,sk13)
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[c51,c47]) ).
cnf(p171,plain,
relation_rng_restriction(sk12,relation_rng_restriction(sk11,sk13)) = relation_rng_restriction(sk11,sk13),
inference(resolution,[status(thm)],[p98,c49]) ).
cnf(c50,plain,
( relation_rng_restriction(sk11,relation_rng_restriction(sk12,sk13)) != relation_rng_restriction(sk11,sk13)
| relation_rng_restriction(sk12,relation_rng_restriction(sk11,sk13)) != relation_rng_restriction(sk11,sk13) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p172,plain,
( relation_rng_restriction(sk11,relation_rng_restriction(sk12,sk13)) != relation_rng_restriction(sk11,sk13)
| relation_rng_restriction(sk11,sk13) != relation_rng_restriction(sk11,sk13) ),
inference(demodulation,[status(thm)],[p171,c50]) ).
cnf(p191,plain,
( relation_rng_restriction(sk11,sk13) != relation_rng_restriction(sk11,sk13)
| relation_rng_restriction(sk11,sk13) != relation_rng_restriction(sk11,sk13) ),
inference(demodulation,[status(thm)],[p190,p172]) ).
cnf(p304,plain,
relation_rng_restriction(sk11,sk13) != relation_rng_restriction(sk11,sk13),
inference(factoring,[status(thm)],[p191]) ).
cnf(p586,plain,
$false,
inference(equality_resolution,[status(thm)],[p304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU047+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n017.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 12:33:45 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.91/1.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.91/1.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------