%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU196+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:52:20 PM UTC 2026
% Result : Theorem 0.37s 20.53s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 24 ~; 16 |; 5 &)
% ( 0 <=>; 7 =>; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f25,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f32,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom_restriction(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_relat_1) ).
fof(f34,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f35,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f57,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f59,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f68,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK8,sK7)),relation_rng(sK8))
& relation(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f59]) ).
fof(f71,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f95,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f104,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f106,plain,
relation(sK8),
inference(cnf_transformation,[],[f68]) ).
fof(f107,plain,
~ subset(relation_rng(relation_dom_restriction(sK8,sK7)),relation_rng(sK8)),
inference(cnf_transformation,[],[f68]) ).
fof(f189,plain,
( ~ subset(relation_dom_restriction(sK8,sK7),sK8)
| ~ relation(sK8)
| ~ relation(relation_dom_restriction(sK8,sK7)) ),
inference(resolution,[],[f95,f107]) ).
fof(f190,plain,
( ~ relation(sK8)
| ~ relation(relation_dom_restriction(sK8,sK7)) ),
inference(forward_subsumption_resolution,[],[f189,f104]) ).
fof(f191,plain,
~ relation(relation_dom_restriction(sK8,sK7)),
inference(forward_subsumption_resolution,[],[f190,f106]) ).
fof(f192,plain,
~ relation(sK8),
inference(resolution,[],[f191,f71]) ).
fof(f193,plain,
$false,
inference(forward_subsumption_resolution,[],[f192,f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU196+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/20.44 % CPULimit : 300
% 0.11/20.44 % WCLimit : 300
% 0.11/20.44 % DateTime : Mon Sep 28 04:00:08 UTC 2026
% 0.11/20.44 % CPUTime :
% 0.11/20.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/20.48 Running first-order model finding
% 0.11/20.48 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
% 0.37/20.53 % (1855420)Will run a generic schedule for satisfiability detection.
% 0.37/20.53 % (1855427)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2683613097:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/20.53 % (1855426)% WARNING: option uhcvi not known.
% 0.37/20.53 % (1855425)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4285584964_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/20.53 % (1855431)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3431215119:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/20.53 % (1855426)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=488528706:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/20.53 % (1855428)dis+10_1_sil=32000:sp=arity:random_seed=2436089047:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/20.53 % (1855429)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3067267748:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/20.53 % (1855430)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2784334327:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/20.53 % TRYING [1]
% 0.37/20.53 % TRYING [2]
% 0.37/20.53 % TRYING [3]
% 0.37/20.53 % (1855428) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1855420-1855428"...
% 0.37/20.53 % TRYING [4]
% 0.37/20.53 % (1855426) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1855420-1855426"...
% 0.37/20.53 % (1855429) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1855420-1855429"...
% 0.37/20.53 % (1855428)...printing done.
% 0.37/20.53 % TRYING [5]
% 0.37/20.53 % (1855426)...printing done.
% 0.37/20.53 % (1855428)Refutation found. Thanks to Tanya!
% 0.37/20.53 % SZS status Theorem for theBenchmark
% 0.37/20.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/20.53 % (1855428)------------------------------
% 0.37/20.53 % (1855428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/20.53 % (1855428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/20.53 % (1855428)CaDiCaL version: 2.1.3
% 0.37/20.53 % (1855428)Termination reason: Refutation
% 0.37/20.53 % (1855428)Time elapsed: 0.004 s
% 0.37/20.53 % (1855428)Peak memory usage: 12 MB
% 0.37/20.53 % (1855428)Instructions burned: 4 (million)
% 0.37/20.53 % (1855420)Success in time 0.041 s
% 0.37/20.53 % Vampire exiting
%------------------------------------------------------------------------------