%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU200+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:47:42 PM UTC 2026
% Result : Theorem 3.54s 1.39s
% Output : Refutation 3.54s
% 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(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f24,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f25,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_relat_1) ).
fof(f26,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f28,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(f39,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f47,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f48,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f50,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,[],[f28]) ).
fof(f51,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,[],[f50]) ).
fof(f67,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK7,sK8)),relation_rng(sK8))
& relation(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f48]) ).
fof(f71,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f94,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f95,plain,
relation(sK8),
inference(cnf_transformation,[],[f67]) ).
fof(f96,plain,
~ subset(relation_rng(relation_rng_restriction(sK7,sK8)),relation_rng(sK8)),
inference(cnf_transformation,[],[f67]) ).
fof(f98,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f123,plain,
( ~ subset(relation_rng_restriction(sK7,sK8),sK8)
| ~ relation(sK8)
| ~ relation(relation_rng_restriction(sK7,sK8)) ),
inference(resolution,[],[f98,f96]) ).
fof(f124,plain,
( ~ relation(sK8)
| ~ relation(relation_rng_restriction(sK7,sK8)) ),
inference(forward_subsumption_resolution,[],[f123,f94]) ).
fof(f125,plain,
~ relation(relation_rng_restriction(sK7,sK8)),
inference(forward_subsumption_resolution,[],[f124,f95]) ).
fof(f126,plain,
~ relation(sK8),
inference(resolution,[],[f125,f71]) ).
fof(f128,plain,
$false,
inference(forward_subsumption_resolution,[],[f126,f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU200+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 03:58:40 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.54/1.39 % (2011707)Detected formulas, will run a generic FOF schedule.
% 3.54/1.39 % (2011713)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=366335975:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.54/1.39 % (2011718)dis-21_1_sil=8000:lcm=predicate:random_seed=2481663048:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.54/1.39 % (2011715)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3647755183:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.54/1.39 % (2011712)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2798795599:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.54/1.39 % (2011717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=852725274:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.54/1.39 % (2011714)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1700656288:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.54/1.39 % (2011716)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1291839387:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.54/1.39 % (2011715)Refutation not found, incomplete strategy
% 3.54/1.39 % (2011715)------------------------------
% 3.54/1.39 % (2011715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.39 % (2011715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.39 % (2011715)CaDiCaL version: 2.1.3
% 3.54/1.39 % (2011715)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.39 % (2011715)Time elapsed: 0.001 s
% 3.54/1.39 % (2011715)Peak memory usage: 87 MB
% 3.54/1.39 % (2011717)First to succeed.
% 3.54/1.39 % (2011718)Also succeeded, but the first one will report.
% 3.54/1.39 % (2011717)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2011707"
% 3.54/1.39 % (2011716)Instruction limit reached!
% 3.54/1.39 % (2011716)------------------------------
% 3.54/1.39 % (2011716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.39 % (2011716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.39 % (2011716)CaDiCaL version: 2.1.3
% 3.54/1.39 % (2011716)Termination reason: Instruction limit
% 3.54/1.39 % (2011716)Termination phase: Saturation
% 3.54/1.39 % (2011716)Time elapsed: 0.071 s
% 3.54/1.39 % (2011716)Peak memory usage: 88 MB
% 3.54/1.39 % (2011716)Instructions burned: 119 (million)
% 3.54/1.39 % (2011726)lrs+10_1_sil=8000:sp=occurrence:random_seed=1356227154:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.54/1.39 % (2011726)Also succeeded, but the first one will report.
% 3.54/1.39 % (2011715)------------------------------
% 3.54/1.39 % (2011715)------------------------------
% 3.54/1.39 % (2011717)Refutation found. Thanks to Tanya!
% 3.54/1.39 % SZS status Theorem for theBenchmark
% 3.54/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.39 % (2011717)------------------------------
% 3.54/1.39 % (2011717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.39 % (2011717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.39 % (2011717)CaDiCaL version: 2.1.3
% 3.54/1.39 % (2011717)Termination reason: Refutation
% 3.54/1.39 % (2011717)Time elapsed: 0.003 s
% 3.54/1.39 % (2011717)Peak memory usage: 89 MB
% 3.54/1.39 % (2011717)Instructions burned: 3 (million)
% 3.54/1.39 % (2011717)------------------------------
% 3.54/1.39 % (2011717)------------------------------
% 3.54/1.39 % (2011707)Success in time 0.432 s
% 3.54/1.39 % Vampire exiting
%------------------------------------------------------------------------------