%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU196+2 : 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 : n003.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 0.16s 5.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 11 ~; 12 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f146,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_relat_1) ).
fof(f183,axiom,
! [X0,X1] :
( relation(X1)
=> relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_relat_1) ).
fof(f184,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(f185,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(negated_conjecture,[status(cth)],[f184]) ).
fof(f296,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f146]) ).
fof(f337,plain,
! [X0,X1] :
( relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f183]) ).
fof(f338,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f185]) ).
fof(f471,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f55]) ).
fof(f598,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ),
inference(cnf_transformation,[],[f296]) ).
fof(f646,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
inference(cnf_transformation,[],[f337]) ).
fof(f647,plain,
relation(sK58),
inference(cnf_transformation,[],[f338]) ).
fof(f648,plain,
~ subset(relation_rng(relation_dom_restriction(sK58,sK57)),relation_rng(sK58)),
inference(cnf_transformation,[],[f338]) ).
fof(f871,plain,
! [X0] : ~ relation(identity_relation(X0)),
inference(consistent_polarity_flipping,[],[f471]) ).
fof(f916,plain,
! [X0,X1] :
( subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| relation(X1)
| relation(X0) ),
inference(consistent_polarity_flipping,[],[f598]) ).
fof(f936,plain,
! [X0,X1] :
( relation(X1)
| relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
inference(consistent_polarity_flipping,[],[f646]) ).
fof(f937,plain,
~ relation(sK58),
inference(consistent_polarity_flipping,[],[f647]) ).
fof(f1731,plain,
! [X0] : relation_dom_restriction(sK58,X0) = relation_composition(identity_relation(X0),sK58),
inference(resolution,[],[f936,f937]) ).
fof(f1938,plain,
! [X0] :
( subset(relation_rng(relation_dom_restriction(sK58,X0)),relation_rng(sK58))
| relation(sK58)
| relation(identity_relation(X0)) ),
inference(superposition,[],[f916,f1731]) ).
fof(f1945,plain,
! [X0] :
( subset(relation_rng(relation_dom_restriction(sK58,X0)),relation_rng(sK58))
| relation(identity_relation(X0)) ),
inference(forward_subsumption_resolution,[],[f1938,f937]) ).
fof(f1948,plain,
! [X0] : subset(relation_rng(relation_dom_restriction(sK58,X0)),relation_rng(sK58)),
inference(forward_subsumption_resolution,[],[f1945,f871]) ).
fof(f2046,plain,
$false,
inference(backward_subsumption_resolution,[],[f648,f1948]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU196+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/5.40 % Computer : n003.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Mon Sep 28 04:00:49 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/5.43 Running first-order model finding
% 0.13/5.43 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
% 0.16/5.52 % (1173953)Will run a generic schedule for satisfiability detection.
% 0.16/5.52 % (1173963)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2449762928:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/5.52 % (1173959)% WARNING: option uhcvi not known.
% 0.16/5.52 % (1173958)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1888165868_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/5.52 % (1173959)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1379872093:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/5.52 % (1173960)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=850962638:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/5.52 % (1173961)dis+10_1_sil=32000:sp=arity:random_seed=197710724:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/5.52 % (1173962)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2330110288:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/5.52 % (1173964)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3050787048:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/5.52 % (1173963)Instruction limit reached!
% 0.16/5.52 % (1173963)------------------------------
% 0.16/5.52 % (1173963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.52 % (1173963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.52 % (1173963)CaDiCaL version: 2.1.3
% 0.16/5.52 % (1173963)Termination reason: Instruction limit
% 0.16/5.52 % (1173963)Termination phase: Saturation
% 0.16/5.52 % (1173963)Time elapsed: 0.036 s
% 0.16/5.52 % (1173963)Peak memory usage: 13 MB
% 0.16/5.52 % (1173963)Instructions burned: 131 (million)
% 0.16/5.52 % TRYING [1]
% 0.16/5.52 % (1173959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1173953-1173959"...
% 0.16/5.52 % TRYING [2]
% 0.16/5.52 % (1173959)...printing done.
% 0.16/5.52 % (1173975)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1974704438:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/5.52 % (1173959)Refutation found. Thanks to Tanya!
% 0.16/5.52 % SZS status Theorem for theBenchmark
% 0.16/5.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/5.52 % (1173959)------------------------------
% 0.16/5.52 % (1173959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.52 % (1173959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.52 % (1173959)CaDiCaL version: 2.1.3
% 0.16/5.52 % (1173959)Termination reason: Refutation
% 0.16/5.52 % (1173959)Time elapsed: 0.038 s
% 0.16/5.52 % (1173959)Peak memory usage: 12 MB
% 0.16/5.52 % (1173959)Instructions burned: 54 (million)
% 0.16/5.52 % (1173953)Success in time 0.077 s
% 0.16/5.52 % Vampire exiting
%------------------------------------------------------------------------------