%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU223+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:52:28 PM UTC 2026
% Result : Theorem 1.77s 0.78s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 106 ( 23 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 121 ( 45 ~; 47 |; 17 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 56 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f91,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f216,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f220,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_funct_1) ).
fof(f221,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f220]) ).
fof(f293,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f311,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f312,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f311]) ).
fof(f434,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f216]) ).
fof(f435,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f434]) ).
fof(f438,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_dom_restriction(X2,X0)))
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f221]) ).
fof(f439,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_dom_restriction(X2,X0)))
& relation(X2)
& function(X2) ),
inference(flattening,[],[f438]) ).
fof(f621,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f293]) ).
fof(f649,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| function(relation_dom_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f848,plain,
! [X2,X3,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3)
| relation_dom_restriction(X2,X0) != X1 ),
inference(cnf_transformation,[],[f435]) ).
fof(f853,plain,
function(sK79),
inference(cnf_transformation,[],[f439]) ).
fof(f854,plain,
relation(sK79),
inference(cnf_transformation,[],[f439]) ).
fof(f855,plain,
in(sK78,relation_dom(relation_dom_restriction(sK79,sK77))),
inference(cnf_transformation,[],[f439]) ).
fof(f856,plain,
apply(relation_dom_restriction(sK79,sK77),sK78) != apply(sK79,sK78),
inference(cnf_transformation,[],[f439]) ).
fof(f1108,plain,
! [X2,X3,X0] :
( ~ function(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0))
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
| apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3) ),
inference(equality_resolution,[],[f848]) ).
fof(f1214,plain,
! [X0,X1] :
( ~ relation(relation_dom_restriction(X0,X1))
| relation(X0) ),
inference(consistent_polarity_flipping,[],[f621]) ).
fof(f1242,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| relation(X0)
| ~ function(X0) ),
inference(consistent_polarity_flipping,[],[f649]) ).
fof(f1397,plain,
! [X2,X3,X0] :
( ~ function(relation_dom_restriction(X2,X0))
| relation(relation_dom_restriction(X2,X0))
| ~ function(X2)
| relation(X2)
| ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
| apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3) ),
inference(consistent_polarity_flipping,[],[f1108]) ).
fof(f1402,plain,
~ relation(sK79),
inference(consistent_polarity_flipping,[],[f854]) ).
fof(f6932,plain,
! [X2,X3,X0] :
( relation(relation_dom_restriction(X2,X0))
| ~ function(X2)
| relation(X2)
| ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
| apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3) ),
inference(forward_subsumption_resolution,[],[f1397,f1242]) ).
fof(f6933,plain,
! [X2,X3,X0] :
( ~ function(X2)
| relation(X2)
| ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
| apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3) ),
inference(forward_subsumption_resolution,[],[f6932,f1214]) ).
fof(f6947,plain,
! [X0,X1] :
( relation(sK79)
| ~ in(X0,relation_dom(relation_dom_restriction(sK79,X1)))
| apply(sK79,X0) = apply(relation_dom_restriction(sK79,X1),X0) ),
inference(resolution,[],[f6933,f853]) ).
fof(f6948,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(relation_dom_restriction(sK79,X1)))
| apply(sK79,X0) = apply(relation_dom_restriction(sK79,X1),X0) ),
inference(forward_subsumption_resolution,[],[f6947,f1402]) ).
fof(f9795,plain,
apply(relation_dom_restriction(sK79,sK77),sK78) = apply(sK79,sK78),
inference(resolution,[],[f6948,f855]) ).
fof(f9797,plain,
$false,
inference(forward_subsumption_resolution,[],[f9795,f856]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU223+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:12:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.77/0.78 % (2249747)Will run a generic schedule for satisfiability detection.
% 1.77/0.78 % (2249756)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4001360586:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.77/0.78 % (2249752)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1659158958_2999 on theBenchmark for (2999ds/0Mi)
% 1.77/0.78 % (2249754)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3860923715:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.77/0.78 % (2249755)dis+10_1_sil=32000:sp=arity:random_seed=1675210543:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.77/0.78 % (2249757)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=964510565:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.77/0.78 % (2249758)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1536001255:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.77/0.78 % (2249753)% WARNING: option uhcvi not known.
% 1.77/0.78 % (2249753)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=989305388:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.77/0.78 % (2249756)Instruction limit reached!
% 1.77/0.78 % (2249756)------------------------------
% 1.77/0.78 % (2249756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.78 % (2249756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.78 % (2249756)CaDiCaL version: 2.1.3
% 1.77/0.78 % (2249756)Termination reason: Instruction limit
% 1.77/0.78 % (2249756)Termination phase: Saturation
% 1.77/0.78 % (2249756)Time elapsed: 0.039 s
% 1.77/0.78 % (2249756)Peak memory usage: 13 MB
% 1.77/0.78 % (2249756)Instructions burned: 118 (million)
% 1.77/0.78 % (2249766)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2652014686:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.77/0.78 % TRYING [1]
% 1.77/0.78 % TRYING [2]
% 1.77/0.78 % TRYING [1]
% 1.77/0.78 % (2249755)Instruction limit reached!
% 1.77/0.78 % (2249755)------------------------------
% 1.77/0.78 % (2249755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.78 % (2249755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.78 % (2249755)CaDiCaL version: 2.1.3
% 1.77/0.78 % (2249755)Termination reason: Instruction limit
% 1.77/0.78 % (2249755)Termination phase: Saturation
% 1.77/0.78 % (2249755)Time elapsed: 0.068 s
% 1.77/0.78 % (2249755)Peak memory usage: 13 MB
% 1.77/0.78 % (2249755)Instructions burned: 103 (million)
% 1.77/0.78 % (2249757)Instruction limit reached!
% 1.77/0.78 % (2249757)------------------------------
% 1.77/0.78 % (2249757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.78 % (2249757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.78 % (2249757)CaDiCaL version: 2.1.3
% 1.77/0.78 % (2249757)Termination reason: Instruction limit
% 1.77/0.78 % (2249757)Termination phase: Saturation
% 1.77/0.78 % (2249757)Time elapsed: 0.068 s
% 1.77/0.78 % (2249757)Peak memory usage: 13 MB
% 1.77/0.78 % (2249757)Instructions burned: 133 (million)
% 1.77/0.78 % TRYING [2]
% 1.77/0.78 % TRYING [3]
% 1.77/0.78 % TRYING [3]
% 1.77/0.78 % (2249768)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1948082413:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.77/0.78 % (2249769)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=370139448:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.77/0.78 % (2249758)Instruction limit reached!
% 1.77/0.78 % (2249758)------------------------------
% 1.77/0.78 % (2249758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.78 % (2249758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.78 % (2249758)CaDiCaL version: 2.1.3
% 1.77/0.78 % (2249758)Termination reason: Instruction limit
% 1.77/0.78 % (2249758)Termination phase: Saturation
% 1.77/0.78 % (2249758)Time elapsed: 0.099 s
% 1.77/0.78 % (2249758)Peak memory usage: 14 MB
% 1.77/0.78 % (2249758)Instructions burned: 160 (million)
% 1.77/0.78 % (2249772)ott-21_1_sil=16000:fs=off:random_seed=1349951059:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.77/0.78 % TRYING [4]
% 1.77/0.78 % (2249768)Instruction limit reached!
% 1.77/0.78 % (2249768)------------------------------
% 1.77/0.78 % (2249768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.78 % (2249768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.78 % (2249768)CaDiCaL version: 2.1.3
% 1.77/0.78 % (2249768)Termination reason: Instruction limit
% 1.77/0.78 % (2249768)Termination phase: Saturation
% 1.77/0.78 % (2249768)Time elapsed: 0.073 s
% 1.77/0.78 % (2249768)Peak memory usage: 13 MB
% 1.77/0.78 % (2249768)Instructions burned: 131 (million)
% 1.77/0.78 % (2249774)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4050352072:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.77/0.78 % (2249766)Instruction limit reached!
% 1.77/0.78 % (2249766)------------------------------
% 1.77/0.78 % (2249766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.78 % (2249766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.78 % (2249766)CaDiCaL version: 2.1.3
% 1.77/0.78 % (2249766)Termination reason: Instruction limit
% 1.77/0.78 % (2249766)Termination phase: Finite model building constraint generation
% 1.77/0.78 % (2249766)Time elapsed: 0.145 s
% 1.77/0.78 % (2249766)Peak memory usage: 32 MB
% 1.77/0.78 % (2249766)Instructions burned: 717 (million)
% 1.77/0.78 % (2249776)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=880463215:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.77/0.78 % (2249772)Instruction limit reached!
% 1.77/0.78 % (2249772)------------------------------
% 1.77/0.78 % (2249772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.78 % (2249772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.78 % (2249772)CaDiCaL version: 2.1.3
% 1.77/0.78 % (2249772)Termination reason: Instruction limit
% 1.77/0.78 % (2249772)Termination phase: Saturation
% 1.77/0.78 % (2249772)Time elapsed: 0.101 s
% 1.77/0.78 % (2249772)Peak memory usage: 14 MB
% 1.77/0.78 % (2249772)Instructions burned: 180 (million)
% 1.77/0.78 % TRYING [1]
% 1.77/0.78 % TRYING [2]
% 1.77/0.78 % TRYING [4]
% 1.77/0.78 % (2249778)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1236100145:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.77/0.78 % TRYING [3]
% 1.77/0.78 % (2249753) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2249747-2249753"...
% 1.77/0.78 % (2249753)...printing done.
% 1.77/0.78 % (2249753)Refutation found. Thanks to Tanya!
% 1.77/0.78 % SZS status Theorem for theBenchmark
% 1.77/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.78 % (2249753)------------------------------
% 1.77/0.78 % (2249753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.78 % (2249753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.78 % (2249753)CaDiCaL version: 2.1.3
% 1.77/0.78 % (2249753)Termination reason: Refutation
% 1.77/0.78 % (2249753)Time elapsed: 0.296 s
% 1.77/0.78 % (2249753)Peak memory usage: 17 MB
% 1.77/0.78 % (2249753)Instructions burned: 489 (million)
% 1.77/0.78 % (2249747)Success in time 0.348 s
% 1.77/0.78 % Vampire exiting
%------------------------------------------------------------------------------