%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET677+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:44:24 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 13 unt; 2 def)
% Number of atoms : 143 ( 32 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 159 ( 63 ~; 58 |; 18 &)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 60 ( 0 sgn 56 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = domain(X1,X0,X2)
& subset(X1,range(X1,X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( subset(X1,domain(X0,X1,X2))
& X1 = range(X0,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( subset(identity_relation_of(X0),X1)
=> ( X0 = domain(X0,X0,X1)
& X0 = range(X0,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_44) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( subset(identity_relation_of(X0),X1)
=> ( X0 = domain(X0,X0,X1)
& X0 = range(X0,X0,X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = domain(X1,X0,X2)
& subset(X1,range(X1,X0,X2)) )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = domain(X1,X0,X2)
& subset(X1,range(X1,X0,X2)) )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(X1,domain(X0,X1,X2))
& X1 = range(X0,X1,X2) )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(X1,domain(X0,X1,X2))
& X1 = range(X0,X1,X2) )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f39]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ( domain(X0,X0,X1) != X0
| range(X0,X0,X1) != X0 )
& subset(identity_relation_of(X0),X1)
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ( domain(X0,X0,X1) != X0
| range(X0,X0,X1) != X0 )
& subset(identity_relation_of(X0),X1)
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f43]) ).
fof(f109,plain,
( ( sK13 != domain(sK13,sK13,sK14)
| sK13 != range(sK13,sK13,sK14) )
& subset(identity_relation_of(sK13),sK14)
& ilf_type(sK14,identity_relation_of_type(sK13))
& ilf_type(sK13,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f79]) ).
fof(f111,plain,
! [X2,X0,X1] :
( domain(X1,X0,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f112,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f118,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f173,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f175,plain,
ilf_type(sK14,identity_relation_of_type(sK13)),
inference(cnf_transformation,[],[f109]) ).
fof(f176,plain,
subset(identity_relation_of(sK13),sK14),
inference(cnf_transformation,[],[f109]) ).
fof(f177,plain,
( sK13 != domain(sK13,sK13,sK14)
| sK13 != range(sK13,sK13,sK14) ),
inference(cnf_transformation,[],[f109]) ).
fof(f180,definition,
( spl15_1
<=> sK13 = range(sK13,sK13,sK14) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f182,plain,
( sK13 != range(sK13,sK13,sK14)
| spl15_1 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl15_2
<=> sK13 = domain(sK13,sK13,sK14) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f186,plain,
( sK13 != domain(sK13,sK13,sK14)
| spl15_2 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f187,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f177,f184,f180]) ).
fof(f223,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f118,f173]) ).
fof(f229,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f112,f173]) ).
fof(f232,plain,
! [X2,X0,X1] :
( domain(X1,X0,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f111,f173]) ).
fof(f258,plain,
! [X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X0))
| ilf_type(X1,relation_type(X0,X0)) ),
inference(forward_subsumption_resolution,[],[f223,f173]) ).
fof(f263,plain,
! [X2,X0,X1] :
( ~ subset(identity_relation_of(X1),X2)
| range(X0,X1,X2) = X1
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f229,f173]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ subset(identity_relation_of(X1),X2)
| domain(X1,X0,X2) = X1
| ~ ilf_type(X2,relation_type(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f232,f173]) ).
fof(f330,plain,
ilf_type(sK14,relation_type(sK13,sK13)),
inference(resolution,[],[f258,f175]) ).
fof(f399,plain,
! [X0] :
( ~ ilf_type(sK14,relation_type(X0,sK13))
| sK13 = range(X0,sK13,sK14) ),
inference(resolution,[],[f263,f176]) ).
fof(f418,plain,
! [X0] :
( ~ ilf_type(sK14,relation_type(sK13,X0))
| sK13 = domain(sK13,X0,sK14) ),
inference(resolution,[],[f266,f176]) ).
fof(f438,plain,
sK13 = range(sK13,sK13,sK14),
inference(resolution,[],[f399,f330]) ).
fof(f439,plain,
( $false
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f438,f182]) ).
fof(f440,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f450,plain,
sK13 = domain(sK13,sK13,sK14),
inference(resolution,[],[f418,f330]) ).
fof(f451,plain,
( $false
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f450,f186]) ).
fof(f452,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f451]) ).
cnf(s1,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f187]) ).
cnf(s3,plain,
spl15_1,
inference(sat_conversion,[],[f440]) ).
cnf(s4,plain,
spl15_2,
inference(sat_conversion,[],[f452]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f453,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET677+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 02:29:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.17/0.47 % (2963486)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2963491)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2999309330_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (2963492)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % (2963495)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2572624119:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (2963492)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1069618341:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (2963493)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2500808224:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (2963494)dis+10_1_sil=32000:sp=arity:random_seed=3211767360:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2963497)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2013289755:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (2963496)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3966075843:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (2963496) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2963486-2963496"...
% 0.17/0.47 % (2963492) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2963486-2963492"...
% 0.17/0.47 % (2963495) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2963486-2963495"...
% 0.17/0.47 % (2963496)...printing done.
% 0.17/0.47 % (2963496)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2963496)------------------------------
% 0.17/0.47 % (2963496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2963496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2963496)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2963496)Termination reason: Refutation
% 0.17/0.47 % (2963496)Time elapsed: 0.009 s
% 0.17/0.47 % (2963496)Peak memory usage: 12 MB
% 0.17/0.47 % (2963496)Instructions burned: 12 (million)
% 0.17/0.47 % (2963486)Success in time 0.046 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------