%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU041+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 : n005.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 12:51:50 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 10 unt; 2 def)
% Number of atoms : 76 ( 26 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 27 ~; 23 |; 10 &)
% ( 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 : 38 ( 0 sgn 32 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X0,X1)
=> ( relation_dom_restriction(relation_dom_restriction(X2,X0),X1) = relation_dom_restriction(X2,X0)
& relation_dom_restriction(relation_dom_restriction(X2,X1),X0) = relation_dom_restriction(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t82_funct_1) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X0,X1)
=> ( relation_dom_restriction(relation_dom_restriction(X2,X0),X1) = relation_dom_restriction(X2,X0)
& relation_dom_restriction(relation_dom_restriction(X2,X1),X0) = relation_dom_restriction(X2,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_dom_restriction(relation_dom_restriction(X2,X0),X1) = relation_dom_restriction(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t102_relat_1) ).
fof(f35,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_dom_restriction(relation_dom_restriction(X2,X1),X0) = relation_dom_restriction(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_relat_1) ).
fof(f59,plain,
? [X0,X1,X2] :
( ( relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
| relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0) )
& subset(X0,X1)
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ( relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
| relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0) )
& subset(X0,X1)
& relation(X2)
& function(X2) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_dom_restriction(X2,X0),X1) = relation_dom_restriction(X2,X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_dom_restriction(X2,X0),X1) = relation_dom_restriction(X2,X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_dom_restriction(X2,X1),X0) = relation_dom_restriction(X2,X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_dom_restriction(X2,X1),X0) = relation_dom_restriction(X2,X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f63]) ).
fof(f110,plain,
( relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11)
| relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12) ),
inference(cnf_transformation,[],[f60]) ).
fof(f112,plain,
relation(sK13),
inference(cnf_transformation,[],[f60]) ).
fof(f113,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f60]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ relation(X2)
| relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ relation(X2)
| relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f117,definition,
( spl14_1
<=> relation_dom_restriction(sK13,sK11) = relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f119,plain,
( relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12)
| spl14_1 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,definition,
( spl14_2
<=> relation_dom_restriction(sK13,sK11) = relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f123,plain,
( relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11)
| spl14_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f110,f121,f117]) ).
fof(f181,plain,
! [X0] :
( ~ relation(X0)
| relation_dom_restriction(X0,sK11) = relation_dom_restriction(relation_dom_restriction(X0,sK11),sK12) ),
inference(resolution,[],[f114,f113]) ).
fof(f193,plain,
relation_dom_restriction(sK13,sK11) = relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12),
inference(resolution,[],[f181,f112]) ).
fof(f194,plain,
( $false
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f193,f119]) ).
fof(f195,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f201,plain,
! [X0] :
( ~ relation(X0)
| relation_dom_restriction(X0,sK11) = relation_dom_restriction(relation_dom_restriction(X0,sK12),sK11) ),
inference(resolution,[],[f115,f113]) ).
fof(f216,plain,
relation_dom_restriction(sK13,sK11) = relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11),
inference(resolution,[],[f201,f112]) ).
fof(f217,plain,
( $false
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f216,f123]) ).
fof(f218,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f217]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f124]) ).
cnf(s2,plain,
spl14_1,
inference(sat_conversion,[],[f195]) ).
cnf(s3,plain,
spl14_2,
inference(sat_conversion,[],[f218]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f221,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU041+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 03:26:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (406551)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (406560)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2400579968:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (406560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-406551-406560"...
% 0.10/0.44 % (406560)...printing done.
% 0.10/0.44 % (406557)% WARNING: option uhcvi not known.
% 0.10/0.44 % (406560)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (406560)------------------------------
% 0.10/0.44 % (406560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (406560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (406560)CaDiCaL version: 2.1.3
% 0.10/0.44 % (406560)Termination reason: Refutation
% 0.10/0.44 % (406560)Time elapsed: 0.003 s
% 0.10/0.44 % (406560)Peak memory usage: 12 MB
% 0.10/0.44 % (406560)Instructions burned: 6 (million)
% 0.10/0.44 % (406551)Success in time 0.03 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------