%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU196+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:47:41 PM UTC 2026
% Result : Theorem 2.64s 6.35s
% Output : Refutation 2.64s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f32,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom_restriction(X1,X0),X1) ),
file('/export/starexec/sandbox/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/sandbox/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(f123,plain,
( ~ subset(relation_dom_restriction(sK8,sK7),sK8)
| ~ relation(sK8)
| ~ relation(relation_dom_restriction(sK8,sK7)) ),
inference(resolution,[],[f95,f107]) ).
fof(f124,plain,
( ~ relation(sK8)
| ~ relation(relation_dom_restriction(sK8,sK7)) ),
inference(forward_subsumption_resolution,[],[f123,f104]) ).
fof(f125,plain,
~ relation(relation_dom_restriction(sK8,sK7)),
inference(forward_subsumption_resolution,[],[f124,f106]) ).
fof(f126,plain,
~ relation(sK8),
inference(resolution,[],[f125,f71]) ).
fof(f128,plain,
$false,
inference(forward_subsumption_resolution,[],[f126,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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.39 % Computer : n003.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Mon Sep 28 04:01:04 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.64/6.35 % (1174400)Detected formulas, will run a generic FOF schedule.
% 2.64/6.35 % (1174410)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3132406812:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.64/6.35 % (1174410)First to succeed.
% 2.64/6.35 % (1174410)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1174400"
% 2.64/6.35 % (1174411)dis-21_1_sil=8000:lcm=predicate:random_seed=1444354900: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)
% 2.64/6.35 % (1174409)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3295107051:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.64/6.35 % (1174405)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=4284515987:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.64/6.35 % (1174408)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1492174755:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.64/6.35 % (1174406)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=2222261464:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.64/6.35 % (1174407)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=3028790898:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.64/6.35 % (1174408)Refutation not found, incomplete strategy
% 2.64/6.35 % (1174408)------------------------------
% 2.64/6.35 % (1174408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/6.35 % (1174408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/6.35 % (1174408)CaDiCaL version: 2.1.3
% 2.64/6.35 % (1174408)Termination reason: Refutation not found, incomplete strategy
% 2.64/6.35 % (1174408)Time elapsed: 0.001 s
% 2.64/6.35 % (1174408)Peak memory usage: 87 MB
% 2.64/6.35 % (1174411)Also succeeded, but the first one will report.
% 2.64/6.35 % (1174409)Instruction limit reached!
% 2.64/6.35 % (1174409)------------------------------
% 2.64/6.35 % (1174409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/6.35 % (1174409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/6.35 % (1174409)CaDiCaL version: 2.1.3
% 2.64/6.35 % (1174409)Termination reason: Instruction limit
% 2.64/6.35 % (1174409)Termination phase: Saturation
% 2.64/6.35 % (1174409)Time elapsed: 0.072 s
% 2.64/6.35 % (1174409)Peak memory usage: 89 MB
% 2.64/6.35 % (1174409)Instructions burned: 121 (million)
% 2.64/6.35 % (1174410)Refutation found. Thanks to Tanya!
% 2.64/6.35 % SZS status Theorem for theBenchmark
% 2.64/6.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/6.35 % (1174410)------------------------------
% 2.64/6.35 % (1174410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/6.35 % (1174410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/6.35 % (1174410)CaDiCaL version: 2.1.3
% 2.64/6.35 % (1174410)Termination reason: Refutation
% 2.64/6.35 % (1174410)Time elapsed: 0.002 s
% 2.64/6.35 % (1174410)Peak memory usage: 89 MB
% 2.64/6.35 % (1174410)Instructions burned: 3 (million)
% 2.64/6.35 % (1174410)------------------------------
% 2.64/6.35 % (1174410)------------------------------
% 2.64/6.35 % (1174400)Success in time 0.287 s
% 2.64/6.35 % Vampire exiting
%------------------------------------------------------------------------------