%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU047+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 : Tue Sep 29 12:51:51 PM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 10 unt; 2 def)
% Number of atoms : 77 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 28 ~; 22 |; 13 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) = relation_rng_restriction(X0,X2)
& relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) = relation_rng_restriction(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_funct_1) ).
fof(f32,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) = relation_rng_restriction(X0,X2)
& relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) = relation_rng_restriction(X0,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) = relation_rng_restriction(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t129_relat_1) ).
fof(f34,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) = relation_rng_restriction(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t130_relat_1) ).
fof(f58,plain,
? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) )
& subset(X0,X1)
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) )
& subset(X0,X1)
& relation(X2)
& function(X2) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) = relation_rng_restriction(X0,X2)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f61,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) = relation_rng_restriction(X0,X2)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) = relation_rng_restriction(X0,X2)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f63,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) = relation_rng_restriction(X0,X2)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f62]) ).
fof(f76,plain,
( ( relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13))
| relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13)) )
& subset(sK11,sK12)
& relation(sK13)
& function(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f59]) ).
fof(f121,plain,
relation(sK13),
inference(cnf_transformation,[],[f76]) ).
fof(f122,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f76]) ).
fof(f123,plain,
( relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13))
| relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ subset(X0,X1)
| relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ subset(X0,X1)
| relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f127,definition,
( spl14_1
<=> relation_rng_restriction(sK11,sK13) = relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13)) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f129,plain,
( relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13))
| spl14_1 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl14_2
<=> relation_rng_restriction(sK11,sK13) = relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13)) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f134,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f123,f131,f127]) ).
fof(f265,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| relation_rng_restriction(X0,sK13) = relation_rng_restriction(X1,relation_rng_restriction(X0,sK13)) ),
inference(resolution,[],[f124,f121]) ).
fof(f285,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| relation_rng_restriction(X0,sK13) = relation_rng_restriction(X0,relation_rng_restriction(X1,sK13)) ),
inference(resolution,[],[f125,f121]) ).
fof(f292,plain,
relation_rng_restriction(sK11,sK13) = relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13)),
inference(resolution,[],[f265,f122]) ).
fof(f294,plain,
spl14_2,
inference(avatar_split_clause,[],[f292,f131]) ).
fof(f301,plain,
relation_rng_restriction(sK11,sK13) = relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13)),
inference(resolution,[],[f285,f122]) ).
fof(f303,plain,
( $false
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f301,f129]) ).
fof(f304,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f303]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f134]) ).
cnf(s2,plain,
spl14_2,
inference(sat_conversion,[],[f294]) ).
cnf(s3,plain,
spl14_1,
inference(sat_conversion,[],[f304]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f305,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU047+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n014.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 03:27:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.44 % (1408666)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (1408676)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=746012822:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.44 % (1408676) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1408666-1408676"...
% 0.09/0.44 % (1408676)...printing done.
% 0.09/0.44 % (1408676)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Theorem for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (1408676)------------------------------
% 0.09/0.44 % (1408676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (1408676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (1408676)CaDiCaL version: 2.1.3
% 0.09/0.44 % (1408676)Termination reason: Refutation
% 0.09/0.44 % (1408676)Time elapsed: 0.003 s
% 0.09/0.44 % (1408676)Peak memory usage: 12 MB
% 0.09/0.44 % (1408676)Instructions burned: 7 (million)
% 0.09/0.44 % (1408666)Success in time 0.029 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------