%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:47:07 PM UTC 2026
% Result : Theorem 2.64s 1.37s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 9 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
& subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
& subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_relat_1) ).
fof(f39,axiom,
! [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(f41,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f42,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f48,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f65,plain,
( ( ~ subset(relation_dom(relation_dom_restriction(sK1,sK0)),relation_dom(sK1))
| ~ subset(relation_rng(relation_dom_restriction(sK1,sK0)),relation_rng(sK1)) )
& relation(sK1)
& function(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f42]) ).
fof(f77,plain,
relation(sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f78,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK1,sK0)),relation_rng(sK1))
| ~ subset(relation_dom(relation_dom_restriction(sK1,sK0)),relation_dom(sK1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f79,plain,
! [X0,X1] :
( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f133,plain,
( ~ relation(sK1)
| ~ subset(relation_dom(relation_dom_restriction(sK1,sK0)),relation_dom(sK1)) ),
inference(resolution,[],[f88,f78]) ).
fof(f134,plain,
~ subset(relation_dom(relation_dom_restriction(sK1,sK0)),relation_dom(sK1)),
inference(forward_subsumption_resolution,[],[f133,f77]) ).
fof(f135,plain,
~ relation(sK1),
inference(resolution,[],[f134,f79]) ).
fof(f136,plain,
$false,
inference(forward_subsumption_resolution,[],[f135,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n016.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 03:29:31 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 2.64/1.37 % (3231346)Detected formulas, will run a generic FOF schedule.
% 2.64/1.37 % (3231355)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1602836884:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.64/1.37 % (3231355)First to succeed.
% 2.64/1.37 % (3231355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3231346"
% 2.64/1.37 % (3231353)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=1783074684:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.64/1.37 % (3231354)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2906038019:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.64/1.37 % (3231352)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=1546476172:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.64/1.37 % (3231351)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=4038773612:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.64/1.37 % (3231354)Also succeeded, but the first one will report.
% 2.64/1.37 % (3231356)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1511719531:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.64/1.37 % (3231357)dis-21_1_sil=8000:lcm=predicate:random_seed=1839110575: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)
% 2.64/1.37 % (3231357)Also succeeded, but the first one will report.
% 2.64/1.37 % (3231356)Also succeeded, but the first one will report.
% 2.64/1.37 % (3231355)Refutation found. Thanks to Tanya!
% 2.64/1.37 % SZS status Theorem for theBenchmark
% 2.64/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.37 % (3231355)------------------------------
% 2.64/1.37 % (3231355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.37 % (3231355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.37 % (3231355)CaDiCaL version: 2.1.3
% 2.64/1.37 % (3231355)Termination reason: Refutation
% 2.64/1.37 % (3231355)Time elapsed: 0.002 s
% 2.64/1.37 % (3231355)Peak memory usage: 88 MB
% 2.64/1.37 % (3231355)Instructions burned: 2 (million)
% 2.64/1.37 % (3231355)------------------------------
% 2.64/1.37 % (3231355)------------------------------
% 2.64/1.37 % (3231346)Success in time 0.293 s
% 2.64/1.37 % Vampire exiting
%------------------------------------------------------------------------------