%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU046+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 : n010.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 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 10 unt; 2 def)
% Number of atoms : 177 ( 9 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 185 ( 66 ~; 71 |; 24 &)
% ( 12 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 80 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f12,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f28,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_relat_1) ).
fof(f36,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f37,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_funct_1) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f41,plain,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( in(X4,relation_dom(X1))
=> apply(X2,X4) = apply(X1,X4) ) ) ) ) ),
inference(rectify,[],[f36]) ).
fof(f51,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f54,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f53]) ).
fof(f62,plain,
! [X0,X1] :
( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
| ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f74,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
| ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f73]) ).
fof(f80,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f81,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f82,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f90,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| function(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f117,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| in(X3,relation_dom(X2))
| ~ in(X3,relation_dom(X1))
| relation_rng_restriction(X0,X2) != X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f136,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15))
| ~ subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f137,plain,
function(sK15),
inference(cnf_transformation,[],[f74]) ).
fof(f138,plain,
relation(sK15),
inference(cnf_transformation,[],[f74]) ).
fof(f142,plain,
! [X2,X3,X0] :
( ~ function(relation_rng_restriction(X0,X2))
| ~ relation(relation_rng_restriction(X0,X2))
| ~ function(X2)
| ~ relation(X2)
| in(X3,relation_dom(X2))
| ~ in(X3,relation_dom(relation_rng_restriction(X0,X2))) ),
inference(equality_resolution,[],[f133]) ).
fof(f146,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| ~ subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f81]) ).
fof(f147,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f149,plain,
! [X0,X1] :
( ~ relation(relation_rng_restriction(X0,X1))
| relation(X1) ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f157,plain,
! [X0,X1] :
( ~ function(relation_rng_restriction(X0,X1))
| relation(X1)
| function(X1) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f182,plain,
! [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| relation(X1) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f191,plain,
! [X2,X3,X0] :
( function(relation_rng_restriction(X0,X2))
| relation(relation_rng_restriction(X0,X2))
| function(X2)
| relation(X2)
| in(X3,relation_dom(X2))
| ~ in(X3,relation_dom(relation_rng_restriction(X0,X2))) ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f199,plain,
~ relation(sK15),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f200,plain,
~ function(sK15),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f201,plain,
( subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15))
| subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)) ),
inference(consistent_polarity_flipping,[],[f136]) ).
fof(f204,definition,
( spl16_1
<=> subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f206,plain,
( subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15))
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f208,definition,
( spl16_2
<=> subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15)) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f210,plain,
( subset(relation_rng(relation_rng_restriction(sK14,sK15)),relation_rng(sK15))
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f201,f208,f204]) ).
fof(f284,plain,
( relation(sK15)
| ~ spl16_2 ),
inference(resolution,[],[f182,f210]) ).
fof(f285,plain,
( $false
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f284,f199]) ).
fof(f286,plain,
~ spl16_2,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f287,plain,
( in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(relation_rng_restriction(sK14,sK15)))
| ~ spl16_1 ),
inference(resolution,[],[f206,f147]) ).
fof(f289,plain,
! [X2,X3,X0] :
( relation(relation_rng_restriction(X0,X2))
| function(X2)
| relation(X2)
| in(X3,relation_dom(X2))
| ~ in(X3,relation_dom(relation_rng_restriction(X0,X2))) ),
inference(forward_subsumption_resolution,[],[f191,f157]) ).
fof(f290,plain,
! [X2,X3,X0] :
( ~ in(X3,relation_dom(relation_rng_restriction(X0,X2)))
| relation(X2)
| in(X3,relation_dom(X2))
| function(X2) ),
inference(forward_subsumption_resolution,[],[f289,f149]) ).
fof(f296,plain,
( relation(sK15)
| in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(sK15))
| function(sK15)
| ~ spl16_1 ),
inference(resolution,[],[f287,f290]) ).
fof(f302,plain,
( in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(sK15))
| function(sK15)
| ~ spl16_1 ),
inference(forward_subsumption_resolution,[],[f296,f199]) ).
fof(f304,plain,
( in(sK0(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15)),relation_dom(sK15))
| ~ spl16_1 ),
inference(forward_subsumption_resolution,[],[f302,f200]) ).
fof(f388,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK14,sK15)),relation_dom(sK15))
| ~ spl16_1 ),
inference(resolution,[],[f304,f146]) ).
fof(f394,plain,
( $false
| ~ spl16_1 ),
inference(forward_subsumption_resolution,[],[f388,f206]) ).
fof(f395,plain,
~ spl16_1,
inference(avatar_contradiction_clause,[],[f394]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f211]) ).
cnf(s2,plain,
~ spl16_2,
inference(sat_conversion,[],[f286]) ).
cnf(s3,plain,
~ spl16_1,
inference(sat_conversion,[],[f395]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f396,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU046+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n010.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 03:27:56 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.16/0.49 % (1532796)Will run a generic schedule for satisfiability detection.
% 0.16/0.49 % (1532806)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1566883599:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.49 % (1532802)% WARNING: option uhcvi not known.
% 0.16/0.49 % (1532801)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1806774935_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.49 % (1532802)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1153464477:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.49 % (1532803)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=263205201:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.49 % (1532804)dis+10_1_sil=32000:sp=arity:random_seed=3777637889:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.49 % (1532805)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=239459031:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.49 % (1532807)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3093608419:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.49 % TRYING [1]
% 0.16/0.49 % TRYING [2]
% 0.16/0.49 % TRYING [3]
% 0.16/0.49 % (1532802) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1532796-1532802"...
% 0.16/0.49 % (1532802)...printing done.
% 0.16/0.49 % (1532802)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Theorem for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (1532802)------------------------------
% 0.16/0.49 % (1532802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (1532802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (1532802)CaDiCaL version: 2.1.3
% 0.16/0.49 % (1532802)Termination reason: Refutation
% 0.16/0.49 % (1532802)Time elapsed: 0.010 s
% 0.16/0.49 % (1532802)Peak memory usage: 12 MB
% 0.16/0.49 % (1532802)Instructions burned: 13 (million)
% 0.16/0.49 % (1532796)Success in time 0.053 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------