%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:44:20 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 14 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 18 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f28,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f29,conjecture,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_20) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f31]) ).
fof(f46,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f64,plain,
? [X0] :
( ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0)))
& ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f91,plain,
( ~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12)))
& ilf_type(sK12,binary_relation_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f64]) ).
fof(f92,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f117,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f46]) ).
fof(f142,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f28]) ).
fof(f143,plain,
ilf_type(sK12,binary_relation_type),
inference(cnf_transformation,[],[f91]) ).
fof(f144,plain,
~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12))),
inference(cnf_transformation,[],[f91]) ).
fof(f146,plain,
! [X0] : subset(X0,X0),
inference(forward_subsumption_resolution,[],[f117,f142]) ).
fof(f207,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f92,f142]) ).
fof(f209,plain,
( ~ subset(domain_of(sK12),domain_of(sK12))
| ~ ilf_type(sK12,binary_relation_type) ),
inference(resolution,[],[f207,f144]) ).
fof(f210,plain,
~ ilf_type(sK12,binary_relation_type),
inference(forward_subsumption_resolution,[],[f209,f146]) ).
fof(f211,plain,
$false,
inference(forward_subsumption_resolution,[],[f210,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 02:33:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (3198953)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3198960)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3320541116:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3198958)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2100544601_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (3198961)dis+10_1_sil=32000:sp=arity:random_seed=1419552689:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3198962)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=399166099:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3198963)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2329387731:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3198964)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1281989519:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3198959)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3198961) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3198953-3198961"...
% 0.11/0.45 % (3198961)...printing done.
% 0.11/0.45 % (3198961)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3198961)------------------------------
% 0.11/0.45 % (3198961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3198961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3198961)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3198961)Termination reason: Refutation
% 0.11/0.45 % (3198961)Time elapsed: 0.004 s
% 0.11/0.45 % (3198961)Peak memory usage: 11 MB
% 0.11/0.45 % (3198961)Instructions burned: 4 (million)
% 0.11/0.45 % (3198953)Success in time 0.044 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------