%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU224+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 : n006.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 1.61s 0.68s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 6 unt; 3 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 117 ( 45 ~; 48 |; 12 &)
% ( 7 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 23 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f117,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<=> ( in(X1,relation_dom(X2))
& in(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
fof(f118,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<=> ( in(X1,relation_dom(X2))
& in(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f117]) ).
fof(f228,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<=> ( in(X0,X1)
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_relat_1) ).
fof(f335,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<~> ( in(X1,relation_dom(X2))
& in(X1,X0) ) )
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f118]) ).
fof(f336,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<~> ( in(X1,relation_dom(X2))
& in(X1,X0) ) )
& relation(X2)
& function(X2) ),
inference(flattening,[],[f335]) ).
fof(f445,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<=> ( in(X0,X1)
& in(X0,relation_dom(X2)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f228]) ).
fof(f690,plain,
( ~ in(sK56,sK55)
| ~ in(sK56,relation_dom(sK57))
| ~ in(sK56,relation_dom(relation_dom_restriction(sK57,sK55))) ),
inference(cnf_transformation,[],[f336]) ).
fof(f691,plain,
( in(sK56,sK55)
| in(sK56,relation_dom(relation_dom_restriction(sK57,sK55))) ),
inference(cnf_transformation,[],[f336]) ).
fof(f692,plain,
( in(sK56,relation_dom(sK57))
| in(sK56,relation_dom(relation_dom_restriction(sK57,sK55))) ),
inference(cnf_transformation,[],[f336]) ).
fof(f694,plain,
relation(sK57),
inference(cnf_transformation,[],[f336]) ).
fof(f871,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f445]) ).
fof(f872,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| in(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f445]) ).
fof(f873,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ in(X0,X1)
| in(X0,relation_dom(relation_dom_restriction(X2,X1))) ),
inference(cnf_transformation,[],[f445]) ).
fof(f1200,definition,
( spl82_1
<=> in(sK56,relation_dom(relation_dom_restriction(sK57,sK55))) ),
introduced(definition,[new_symbols(definition,[spl82_1])],[avatar_definition]) ).
fof(f1201,plain,
( in(sK56,relation_dom(relation_dom_restriction(sK57,sK55)))
| ~ spl82_1 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1202,plain,
( ~ in(sK56,relation_dom(relation_dom_restriction(sK57,sK55)))
| spl82_1 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1204,definition,
( spl82_2
<=> in(sK56,relation_dom(sK57)) ),
introduced(definition,[new_symbols(definition,[spl82_2])],[avatar_definition]) ).
fof(f1205,plain,
( in(sK56,relation_dom(sK57))
| ~ spl82_2 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1208,definition,
( spl82_3
<=> in(sK56,sK55) ),
introduced(definition,[new_symbols(definition,[spl82_3])],[avatar_definition]) ).
fof(f1209,plain,
( in(sK56,sK55)
| ~ spl82_3 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1211,plain,
( ~ spl82_1
| ~ spl82_2
| ~ spl82_3 ),
inference(avatar_split_clause,[],[f690,f1208,f1204,f1200]) ).
fof(f1212,plain,
( spl82_1
| spl82_3 ),
inference(avatar_split_clause,[],[f691,f1208,f1200]) ).
fof(f1213,plain,
( spl82_1
| spl82_2 ),
inference(avatar_split_clause,[],[f692,f1204,f1200]) ).
fof(f3698,plain,
( ! [X0] :
( ~ relation(sK57)
| ~ in(sK56,X0)
| in(sK56,relation_dom(relation_dom_restriction(sK57,X0))) )
| ~ spl82_2 ),
inference(resolution,[],[f873,f1205]) ).
fof(f3706,plain,
( ! [X0] :
( in(sK56,relation_dom(relation_dom_restriction(sK57,X0)))
| ~ in(sK56,X0) )
| ~ spl82_2 ),
inference(forward_subsumption_resolution,[],[f3698,f694]) ).
fof(f4336,plain,
( in(sK56,relation_dom(sK57))
| ~ relation(sK57)
| ~ spl82_1 ),
inference(resolution,[],[f1201,f871]) ).
fof(f4337,plain,
( in(sK56,sK55)
| ~ relation(sK57)
| ~ spl82_1 ),
inference(resolution,[],[f1201,f872]) ).
fof(f4370,plain,
( in(sK56,sK55)
| ~ spl82_1 ),
inference(forward_subsumption_resolution,[],[f4337,f694]) ).
fof(f4398,plain,
( in(sK56,relation_dom(sK57))
| ~ spl82_1 ),
inference(forward_subsumption_resolution,[],[f4336,f694]) ).
fof(f4399,plain,
( spl82_3
| ~ spl82_1 ),
inference(avatar_split_clause,[],[f4370,f1200,f1208]) ).
fof(f4410,plain,
( spl82_2
| ~ spl82_1 ),
inference(avatar_split_clause,[],[f4398,f1200,f1204]) ).
fof(f8413,plain,
( ~ in(sK56,sK55)
| spl82_1
| ~ spl82_2 ),
inference(resolution,[],[f3706,f1202]) ).
fof(f8433,plain,
( $false
| spl82_1
| ~ spl82_2
| ~ spl82_3 ),
inference(forward_subsumption_resolution,[],[f8413,f1209]) ).
fof(f8434,plain,
( spl82_1
| ~ spl82_2
| ~ spl82_3 ),
inference(avatar_contradiction_clause,[],[f8433]) ).
cnf(s1,plain,
( ~ spl82_1
| ~ spl82_2
| ~ spl82_3 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s2,plain,
( spl82_1
| spl82_3 ),
inference(sat_conversion,[],[f1212]) ).
cnf(s3,plain,
( spl82_1
| spl82_2 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s24,plain,
( ~ spl82_1
| spl82_3 ),
inference(sat_conversion,[],[f4399]) ).
cnf(s30,plain,
( ~ spl82_1
| spl82_2 ),
inference(sat_conversion,[],[f4410]) ).
cnf(s93,plain,
( spl82_1
| ~ spl82_2
| ~ spl82_3 ),
inference(sat_conversion,[],[f8434]) ).
cnf(s98,plain,
spl82_1,
inference(rat,[],[s93,s2,s3]) ).
cnf(s99,plain,
spl82_2,
inference(rat,[],[s30,s98]) ).
cnf(s100,plain,
spl82_3,
inference(rat,[],[s24,s98]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s1,s100,s99,s98]) ).
fof(f8438,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU224+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n006.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 : Mon Sep 28 04:09:26 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 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
% 1.61/0.68 % (3570396)Will run a generic schedule for satisfiability detection.
% 1.61/0.68 % (3570405)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3755827352:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.61/0.68 % (3570402)% WARNING: option uhcvi not known.
% 1.61/0.68 % (3570401)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1293804213_2999 on theBenchmark for (2999ds/0Mi)
% 1.61/0.68 % (3570406)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=215958881:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.61/0.68 % (3570404)dis+10_1_sil=32000:sp=arity:random_seed=2254102651:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.61/0.68 % (3570403)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2242253798:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.61/0.68 % (3570402)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2042443916:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.61/0.68 % (3570407)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3508375886:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.61/0.68 % (3570405)Instruction limit reached!
% 1.61/0.68 % (3570405)------------------------------
% 1.61/0.68 % (3570405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.68 % (3570405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.68 % (3570405)CaDiCaL version: 2.1.3
% 1.61/0.68 % (3570405)Termination reason: Instruction limit
% 1.61/0.68 % (3570405)Termination phase: Saturation
% 1.61/0.68 % (3570405)Time elapsed: 0.037 s
% 1.61/0.68 % (3570405)Peak memory usage: 13 MB
% 1.61/0.68 % (3570405)Instructions burned: 117 (million)
% 1.61/0.68 % (3570415)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1238384053:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.61/0.68 % TRYING [1]
% 1.61/0.68 % TRYING [2]
% 1.61/0.68 % TRYING [1]
% 1.61/0.68 % TRYING [2]
% 1.61/0.68 % (3570406)Instruction limit reached!
% 1.61/0.68 % (3570406)------------------------------
% 1.61/0.68 % (3570406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.68 % (3570406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.68 % (3570406)CaDiCaL version: 2.1.3
% 1.61/0.68 % (3570406)Termination reason: Instruction limit
% 1.61/0.68 % (3570406)Termination phase: Saturation
% 1.61/0.68 % (3570406)Time elapsed: 0.067 s
% 1.61/0.68 % (3570406)Peak memory usage: 13 MB
% 1.61/0.68 % (3570406)Instructions burned: 132 (million)
% 1.61/0.68 % (3570404)Instruction limit reached!
% 1.61/0.68 % (3570404)------------------------------
% 1.61/0.68 % (3570404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.68 % (3570404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.68 % (3570404)CaDiCaL version: 2.1.3
% 1.61/0.68 % (3570404)Termination reason: Instruction limit
% 1.61/0.68 % (3570404)Termination phase: Saturation
% 1.61/0.68 % (3570404)Time elapsed: 0.068 s
% 1.61/0.68 % (3570404)Peak memory usage: 13 MB
% 1.61/0.68 % (3570404)Instructions burned: 103 (million)
% 1.61/0.68 % TRYING [3]
% 1.61/0.68 % TRYING [3]
% 1.61/0.68 % (3570417)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4105750601:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.61/0.68 % (3570418)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=71575986:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.61/0.68 % (3570407)Instruction limit reached!
% 1.61/0.68 % (3570407)------------------------------
% 1.61/0.68 % (3570407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.68 % (3570407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.68 % (3570407)CaDiCaL version: 2.1.3
% 1.61/0.68 % (3570407)Termination reason: Instruction limit
% 1.61/0.68 % (3570407)Termination phase: Saturation
% 1.61/0.68 % (3570407)Time elapsed: 0.099 s
% 1.61/0.68 % (3570407)Peak memory usage: 14 MB
% 1.61/0.68 % (3570407)Instructions burned: 160 (million)
% 1.61/0.68 % (3570421)ott-21_1_sil=16000:fs=off:random_seed=557980397:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.61/0.68 % TRYING [4]
% 1.61/0.68 % (3570417)Instruction limit reached!
% 1.61/0.68 % (3570417)------------------------------
% 1.61/0.68 % (3570417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.68 % (3570417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.68 % (3570417)CaDiCaL version: 2.1.3
% 1.61/0.68 % (3570417)Termination reason: Instruction limit
% 1.61/0.68 % (3570417)Termination phase: Saturation
% 1.61/0.68 % (3570417)Time elapsed: 0.079 s
% 1.61/0.68 % (3570417)Peak memory usage: 14 MB
% 1.61/0.68 % (3570417)Instructions burned: 132 (million)
% 1.61/0.68 % (3570423)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3031753702:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.61/0.68 % (3570415)Instruction limit reached!
% 1.61/0.68 % (3570415)------------------------------
% 1.61/0.68 % (3570415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.68 % (3570415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.68 % (3570415)CaDiCaL version: 2.1.3
% 1.61/0.68 % (3570415)Termination reason: Instruction limit
% 1.61/0.68 % (3570415)Termination phase: Finite model building constraint generation
% 1.61/0.68 % (3570415)Time elapsed: 0.146 s
% 1.61/0.68 % (3570415)Peak memory usage: 33 MB
% 1.61/0.68 % (3570415)Instructions burned: 718 (million)
% 1.61/0.68 % (3570425)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1052258179:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.61/0.68 % (3570421)Instruction limit reached!
% 1.61/0.68 % (3570421)------------------------------
% 1.61/0.68 % (3570421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.68 % (3570421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.68 % (3570421)CaDiCaL version: 2.1.3
% 1.61/0.68 % (3570421)Termination reason: Instruction limit
% 1.61/0.68 % (3570421)Termination phase: Saturation
% 1.61/0.68 % (3570421)Time elapsed: 0.101 s
% 1.61/0.68 % (3570421)Peak memory usage: 14 MB
% 1.61/0.68 % (3570421)Instructions burned: 180 (million)
% 1.61/0.68 % TRYING [1]
% 1.61/0.68 % TRYING [2]
% 1.61/0.68 % TRYING [4]
% 1.61/0.68 % (3570427)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3739607088:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.61/0.68 % (3570402) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3570396-3570402"...
% 1.61/0.68 % (3570402)...printing done.
% 1.61/0.68 % (3570402)Refutation found. Thanks to Tanya!
% 1.61/0.68 % SZS status Theorem for theBenchmark
% 1.61/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.68 % (3570402)------------------------------
% 1.61/0.68 % (3570402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.68 % (3570402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.68 % (3570402)CaDiCaL version: 2.1.3
% 1.61/0.68 % (3570402)Termination reason: Refutation
% 1.61/0.68 % (3570402)Time elapsed: 0.248 s
% 1.61/0.68 % (3570402)Peak memory usage: 17 MB
% 1.61/0.68 % (3570402)Instructions burned: 396 (million)
% 1.61/0.68 % (3570396)Success in time 0.29 s
% 1.61/0.68 % Vampire exiting
%------------------------------------------------------------------------------