%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU251+2 : 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 : n001.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 12:48:00 PM UTC 2026
% Result : Theorem 5.39s 1.71s
% Output : Refutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 173 ( 36 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 214 ( 84 ~; 80 |; 36 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 104 ( 96 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = fiber(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 != X1
& in(ordered_pair(X3,X1),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_wellord1) ).
fof(f42,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f85,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f204,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
fof(f221,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_wellord1) ).
fof(f222,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1)) ),
inference(negated_conjecture,[status(cth)],[f221]) ).
fof(f313,plain,
? [X0,X1,X2] :
( ~ subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1))
& relation(X2) ),
inference(ennf_transformation,[],[f222]) ).
fof(f316,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f319,plain,
! [X0] :
( ! [X1,X2] :
( X2 = fiber(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 != X1
& in(ordered_pair(X3,X1),X0) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f325,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f204]) ).
fof(f326,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f328,plain,
( ~ subset(fiber(relation_restriction(sK2,sK0),sK1),fiber(sK2,sK1))
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f313]) ).
fof(f329,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f316]) ).
fof(f330,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f329]) ).
fof(f331,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f330]) ).
fof(f340,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = fiber(X0,X1)
| ? [X3] :
( ( X1 = X3
| ~ in(ordered_pair(X3,X1),X0)
| ~ in(X3,X2) )
& ( ( X3 != X1
& in(ordered_pair(X3,X1),X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| X1 = X3
| ~ in(ordered_pair(X3,X1),X0) )
& ( ( X3 != X1
& in(ordered_pair(X3,X1),X0) )
| ~ in(X3,X2) ) )
| fiber(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f319]) ).
fof(f341,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = fiber(X0,X1)
| ? [X3] :
( ( X1 = X3
| ~ in(ordered_pair(X3,X1),X0)
| ~ in(X3,X2) )
& ( ( X3 != X1
& in(ordered_pair(X3,X1),X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| X1 = X3
| ~ in(ordered_pair(X3,X1),X0) )
& ( ( X3 != X1
& in(ordered_pair(X3,X1),X0) )
| ~ in(X3,X2) ) )
| fiber(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(flattening,[],[f340]) ).
fof(f342,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = fiber(X0,X1)
| ? [X3] :
( ( X1 = X3
| ~ in(ordered_pair(X3,X1),X0)
| ~ in(X3,X2) )
& ( ( X3 != X1
& in(ordered_pair(X3,X1),X0) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| X1 = X4
| ~ in(ordered_pair(X4,X1),X0) )
& ( ( X1 != X4
& in(ordered_pair(X4,X1),X0) )
| ~ in(X4,X2) ) )
| fiber(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f341]) ).
fof(f343,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = fiber(X0,X1)
| ( ( sK8(X0,X1,X2) = X1
| ~ in(ordered_pair(sK8(X0,X1,X2),X1),X0)
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( sK8(X0,X1,X2) != X1
& in(ordered_pair(sK8(X0,X1,X2),X1),X0) )
| in(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| X1 = X4
| ~ in(ordered_pair(X4,X1),X0) )
& ( ( X1 != X4
& in(ordered_pair(X4,X1),X0) )
| ~ in(X4,X2) ) )
| fiber(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f342]) ).
fof(f344,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f325]) ).
fof(f345,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(flattening,[],[f344]) ).
fof(f346,plain,
relation(sK2),
inference(cnf_transformation,[],[f328]) ).
fof(f347,plain,
~ subset(fiber(relation_restriction(sK2,sK0),sK1),fiber(sK2,sK1)),
inference(cnf_transformation,[],[f328]) ).
fof(f351,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f331]) ).
fof(f352,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f331]) ).
fof(f366,plain,
! [X2,X0,X1,X4] :
( in(ordered_pair(X4,X1),X0)
| ~ in(X4,X2)
| fiber(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f343]) ).
fof(f367,plain,
! [X2,X0,X1,X4] :
( X1 != X4
| ~ in(X4,X2)
| fiber(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f343]) ).
fof(f368,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X1 = X4
| ~ in(ordered_pair(X4,X1),X0)
| fiber(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f343]) ).
fof(f379,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f345]) ).
fof(f381,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f385,plain,
! [X0,X1,X4] :
( ~ in(ordered_pair(X4,X1),X0)
| X1 = X4
| in(X4,fiber(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f368]) ).
fof(f386,plain,
! [X2,X0,X4] :
( ~ in(X4,X2)
| fiber(X0,X4) != X2
| ~ relation(X0) ),
inference(equality_resolution,[],[f367]) ).
fof(f387,plain,
! [X0,X4] :
( ~ in(X4,fiber(X0,X4))
| ~ relation(X0) ),
inference(equality_resolution,[],[f386]) ).
fof(f388,plain,
! [X0,X1,X4] :
( ~ in(X4,fiber(X0,X1))
| in(ordered_pair(X4,X1),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f366]) ).
fof(f389,plain,
! [X0] : relation(relation_restriction(sK2,X0)),
inference(unit_resulting_resolution,[],[f381,f346]) ).
fof(f392,plain,
! [X0,X1] : ~ in(X0,fiber(relation_restriction(sK2,X1),X0)),
inference(unit_resulting_resolution,[],[f387,f389]) ).
fof(f395,plain,
in(sK3(fiber(relation_restriction(sK2,sK0),sK1),fiber(sK2,sK1)),fiber(relation_restriction(sK2,sK0),sK1)),
inference(unit_resulting_resolution,[],[f351,f347]) ).
fof(f399,plain,
~ in(sK3(fiber(relation_restriction(sK2,sK0),sK1),fiber(sK2,sK1)),fiber(sK2,sK1)),
inference(unit_resulting_resolution,[],[f352,f347]) ).
fof(f863,plain,
in(ordered_pair(sK3(fiber(relation_restriction(sK2,sK0),sK1),fiber(sK2,sK1)),sK1),relation_restriction(sK2,sK0)),
inference(unit_resulting_resolution,[],[f388,f389,f395]) ).
fof(f954,plain,
in(ordered_pair(sK3(fiber(relation_restriction(sK2,sK0),sK1),fiber(sK2,sK1)),sK1),sK2),
inference(unit_resulting_resolution,[],[f379,f346,f863]) ).
fof(f1165,plain,
sK1 = sK3(fiber(relation_restriction(sK2,sK0),sK1),fiber(sK2,sK1)),
inference(unit_resulting_resolution,[],[f385,f346,f399,f954]) ).
fof(f1475,plain,
in(sK1,fiber(relation_restriction(sK2,sK0),sK1)),
inference(superposition,[],[f395,f1165]) ).
fof(f1485,plain,
$false,
inference(forward_subsumption_resolution,[],[f1475,f392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU251+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 04:25:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.84/1.55 % (15375)Detected formulas, will run a generic FOF schedule.
% 3.84/1.55 % (15383)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=400167315:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.84/1.55 % (15384)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1594042023:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.84/1.55 % (15382)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=3432833902:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.84/1.55 % (15380)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=3206868069:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.84/1.55 % (15385)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3046049468:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.84/1.55 % (15381)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=716090199:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.84/1.55 % (15386)dis-21_1_sil=8000:lcm=predicate:random_seed=4164560448: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)
% 3.84/1.55 % (15383)Instruction limit reached!
% 3.84/1.55 % (15383)------------------------------
% 3.84/1.55 % (15383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.55 % (15383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.55 % (15383)CaDiCaL version: 2.1.3
% 3.84/1.55 % (15383)Termination reason: Instruction limit
% 3.84/1.55 % (15383)Termination phase: Saturation
% 3.84/1.55 % (15383)Time elapsed: 0.039 s
% 3.84/1.55 % (15383)Peak memory usage: 90 MB
% 3.84/1.55 % (15383)Instructions burned: 110 (million)
% 3.84/1.55 % (15386)Instruction limit reached!
% 3.84/1.55 % (15386)------------------------------
% 3.84/1.55 % (15386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.55 % (15386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.55 % (15386)CaDiCaL version: 2.1.3
% 3.84/1.55 % (15386)Termination reason: Instruction limit
% 3.84/1.55 % (15386)Termination phase: Saturation
% 3.84/1.55 % (15386)Time elapsed: 0.068 s
% 3.84/1.55 % (15386)Peak memory usage: 90 MB
% 3.84/1.55 % (15386)Instructions burned: 129 (million)
% 3.84/1.55 % (15384)Instruction limit reached!
% 3.84/1.55 % (15384)------------------------------
% 3.84/1.55 % (15384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.55 % (15384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.55 % (15384)CaDiCaL version: 2.1.3
% 3.84/1.55 % (15384)Termination reason: Instruction limit
% 3.84/1.55 % (15384)Termination phase: Saturation
% 3.84/1.55 % (15384)Time elapsed: 0.080 s
% 3.84/1.55 % (15384)Peak memory usage: 89 MB
% 3.84/1.55 % (15384)Instructions burned: 119 (million)
% 3.84/1.55 % (15385)Instruction limit reached!
% 3.84/1.55 % (15385)------------------------------
% 3.84/1.55 % (15385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.55 % (15385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.55 % (15385)CaDiCaL version: 2.1.3
% 3.84/1.55 % (15385)Termination reason: Instruction limit
% 3.84/1.55 % (15385)Termination phase: Saturation
% 3.84/1.55 % (15385)Time elapsed: 0.101 s
% 3.84/1.55 % (15385)Peak memory usage: 90 MB
% 3.84/1.55 % (15385)Instructions burned: 140 (million)
% 3.84/1.55 % (15394)lrs+10_1_sil=8000:sp=occurrence:random_seed=144127684:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.84/1.55 % (15395)lrs+10_1_sil=32000:urr=on:br=off:random_seed=370411692:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.84/1.55 % (15394)Instruction limit reached!
% 3.84/1.55 % (15394)------------------------------
% 3.84/1.55 % (15394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.55 % (15394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.55 % (15394)CaDiCaL version: 2.1.3
% 3.84/1.55 % (15394)Termination reason: Instruction limit
% 3.84/1.55 % (15394)Termination phase: Saturation
% 3.84/1.55 % (15394)Time elapsed: 0.105 s
% 3.84/1.55 % (15394)Peak memory usage: 93 MB
% 3.84/1.55 % (15394)Instructions burned: 288 (million)
% 5.39/1.71 % (15396)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3631523431:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.39/1.71 % (15395)First to succeed.
% 5.39/1.71 % (15395)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15375"
% 5.39/1.71 % (15397)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1827787298:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.39/1.71 % (15401)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3342557345:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.39/1.71 % (15397)Instruction limit reached!
% 5.39/1.71 % (15397)------------------------------
% 5.39/1.71 % (15397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.71 % (15397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.71 % (15397)CaDiCaL version: 2.1.3
% 5.39/1.71 % (15397)Termination reason: Instruction limit
% 5.39/1.71 % (15397)Termination phase: Saturation
% 5.39/1.71 % (15397)Time elapsed: 0.153 s
% 5.39/1.71 % (15397)Peak memory usage: 93 MB
% 5.39/1.71 % (15397)Instructions burned: 248 (million)
% 5.39/1.71 % (15401)Instruction limit reached!
% 5.39/1.71 % (15401)------------------------------
% 5.39/1.71 % (15401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.71 % (15401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.71 % (15401)CaDiCaL version: 2.1.3
% 5.39/1.71 % (15401)Termination reason: Instruction limit
% 5.39/1.71 % (15401)Termination phase: Saturation
% 5.39/1.71 % (15401)Time elapsed: 0.100 s
% 5.39/1.71 % (15401)Peak memory usage: 91 MB
% 5.39/1.71 % (15401)Instructions burned: 296 (million)
% 5.39/1.71 % (15396)Instruction limit reached!
% 5.39/1.71 % (15396)------------------------------
% 5.39/1.71 % (15396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.71 % (15396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.71 % (15396)CaDiCaL version: 2.1.3
% 5.39/1.71 % (15396)Termination reason: Instruction limit
% 5.39/1.71 % (15396)Termination phase: Saturation
% 5.39/1.71 % (15396)Time elapsed: 0.229 s
% 5.39/1.71 % (15396)Peak memory usage: 93 MB
% 5.39/1.71 % (15396)Instructions burned: 325 (million)
% 5.39/1.71 % (15395)Refutation found. Thanks to Tanya!
% 5.39/1.71 % SZS status Theorem for theBenchmark
% 5.39/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 5.39/1.71 % (15395)------------------------------
% 5.39/1.71 % (15395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.71 % (15395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.71 % (15395)CaDiCaL version: 2.1.3
% 5.39/1.71 % (15395)Termination reason: Refutation
% 5.39/1.71 % (15395)Time elapsed: 0.039 s
% 5.39/1.71 % (15395)Peak memory usage: 89 MB
% 5.39/1.71 % (15395)Instructions burned: 65 (million)
% 5.39/1.71 % (15395)------------------------------
% 5.39/1.71 % (15395)------------------------------
% 5.39/1.71 % (15375)Success in time 0.688 s
% 5.39/1.71 % Vampire exiting
%------------------------------------------------------------------------------