%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU076+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:47:12 PM UTC 2026
% Result : Theorem 5.50s 1.78s
% Output : Refutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 52 ( 17 unt; 0 def)
% Number of atoms : 268 ( 54 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 345 ( 129 ~; 127 |; 70 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 133 ( 112 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(relation_image(X2,X0),relation_image(X2,X1))
& subset(X0,relation_dom(X2))
& one_to_one(X2) )
=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t157_funct_1) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(relation_image(X2,X0),relation_image(X2,X1))
& subset(X0,relation_dom(X2))
& one_to_one(X2) )
=> subset(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& subset(relation_image(X2,X0),relation_image(X2,X1))
& subset(X0,relation_dom(X2))
& one_to_one(X2)
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& subset(relation_image(X2,X0),relation_image(X2,X1))
& subset(X0,relation_dom(X2))
& one_to_one(X2)
& relation(X2)
& function(X2) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f40,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f39]) ).
fof(f44,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f45,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f44]) ).
fof(f50,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f51,plain,
( ~ subset(sK0,sK1)
& subset(relation_image(sK2,sK0),relation_image(sK2,sK1))
& subset(sK0,relation_dom(sK2))
& one_to_one(sK2)
& relation(sK2)
& function(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f38]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 ) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f40]) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,relation_dom(X0))
& in(X5,X1)
& apply(X0,X5) = X3 )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ? [X8] :
( in(X8,relation_dom(X0))
& in(X8,X1)
& apply(X0,X8) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != sK3(X0,X1,X2) )
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK4(X0,X1,X2),relation_dom(X0))
& in(sK4(X0,X1,X2),X1)
& sK3(X0,X1,X2) = apply(X0,sK4(X0,X1,X2)) )
| in(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ( in(sK5(X0,X1,X6),relation_dom(X0))
& in(sK5(X0,X1,X6),X1)
& apply(X0,sK5(X0,X1,X6)) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X5,sK4(X0,X1,X2)),skolemize(X8,sK5(X0,X1,X6))],[f53]) ).
fof(f55,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f56,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X4) != apply(X0,X3) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK6(X0) != sK7(X0)
& in(sK6(X0),relation_dom(X0))
& in(sK7(X0),relation_dom(X0))
& apply(X0,sK6(X0)) = apply(X0,sK7(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X4) != apply(X0,X3) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0))],[f56]) ).
fof(f64,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,[],[f50]) ).
fof(f65,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,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f65]) ).
fof(f67,plain,
function(sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f68,plain,
relation(sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f69,plain,
one_to_one(sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f70,plain,
subset(sK0,relation_dom(sK2)),
inference(cnf_transformation,[],[f51]) ).
fof(f71,plain,
subset(relation_image(sK2,sK0),relation_image(sK2,sK1)),
inference(cnf_transformation,[],[f51]) ).
fof(f72,plain,
~ subset(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f73,plain,
! [X2,X0,X1,X6] :
( apply(X0,sK5(X0,X1,X6)) = X6
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f74,plain,
! [X2,X0,X1,X6] :
( in(sK5(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f75,plain,
! [X2,X0,X1,X6] :
( in(sK5(X0,X1,X6),relation_dom(X0))
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f76,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f84,plain,
! [X3,X0,X4] :
( apply(X0,X4) != apply(X0,X3)
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| X3 = X4
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f109,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f110,plain,
! [X0,X1] :
( in(sK13(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f111,plain,
! [X0,X1] :
( ~ in(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f112,plain,
! [X2,X0,X1,X7] :
( in(apply(X0,X7),X2)
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f76]) ).
fof(f113,plain,
! [X0,X1,X7] :
( in(apply(X0,X7),relation_image(X0,X1))
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X6] :
( in(sK5(X0,X1,X6),relation_dom(X0))
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f75]) ).
fof(f115,plain,
! [X0,X1,X6] :
( in(sK5(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f74]) ).
fof(f116,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_image(X0,X1))
| apply(X0,sK5(X0,X1,X6)) = X6
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f73]) ).
fof(f136,plain,
in(sK13(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f110,f72]) ).
fof(f137,plain,
~ in(sK13(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f111,f72]) ).
fof(f139,plain,
in(sK13(sK0,sK1),relation_dom(sK2)),
inference(unit_resulting_resolution,[],[f109,f136,f70]) ).
fof(f158,plain,
in(apply(sK2,sK13(sK0,sK1)),relation_image(sK2,sK0)),
inference(unit_resulting_resolution,[],[f113,f67,f68,f136,f139]) ).
fof(f164,plain,
in(apply(sK2,sK13(sK0,sK1)),relation_image(sK2,sK1)),
inference(unit_resulting_resolution,[],[f109,f71,f158]) ).
fof(f166,plain,
apply(sK2,sK13(sK0,sK1)) = apply(sK2,sK5(sK2,sK1,apply(sK2,sK13(sK0,sK1)))),
inference(unit_resulting_resolution,[],[f116,f67,f68,f164]) ).
fof(f167,plain,
in(sK5(sK2,sK1,apply(sK2,sK13(sK0,sK1))),relation_dom(sK2)),
inference(unit_resulting_resolution,[],[f114,f67,f68,f164]) ).
fof(f168,plain,
in(sK5(sK2,sK1,apply(sK2,sK13(sK0,sK1))),sK1),
inference(unit_resulting_resolution,[],[f115,f67,f68,f164]) ).
fof(f251,plain,
sK13(sK0,sK1) = sK5(sK2,sK1,apply(sK2,sK13(sK0,sK1))),
inference(unit_resulting_resolution,[],[f84,f67,f68,f69,f139,f167,f166]) ).
fof(f276,plain,
in(sK13(sK0,sK1),sK1),
inference(superposition,[],[f168,f251]) ).
fof(f280,plain,
$false,
inference(forward_subsumption_resolution,[],[f276,f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU076+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 03:31:24 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.69/1.58 % (1842066)Detected formulas, will run a generic FOF schedule.
% 3.69/1.58 % (1842178)dis-21_1_sil=8000:lcm=predicate:random_seed=517757382: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)
% 3.69/1.58 % (1842174)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=2331787010:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.69/1.58 % (1842173)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=280772647:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.69/1.58 % (1842177)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4069615677:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.69/1.58 % (1842176)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=699309923:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.69/1.58 % (1842172)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=2243480736:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.69/1.58 % (1842178)Instruction limit reached!
% 3.69/1.58 % (1842178)------------------------------
% 3.69/1.58 % (1842178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.58 % (1842178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.58 % (1842178)CaDiCaL version: 2.1.3
% 3.69/1.58 % (1842178)Termination reason: Instruction limit
% 3.69/1.58 % (1842178)Termination phase: Saturation
% 3.69/1.58 % (1842178)Time elapsed: 0.040 s
% 3.69/1.58 % (1842178)Peak memory usage: 90 MB
% 3.69/1.58 % (1842178)Instructions burned: 131 (million)
% 3.69/1.58 % (1842175)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1509347667:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.69/1.58 % (1842175)Refutation not found, incomplete strategy
% 3.69/1.58 % (1842175)------------------------------
% 3.69/1.58 % (1842175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.58 % (1842175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.58 % (1842175)CaDiCaL version: 2.1.3
% 3.69/1.58 % (1842175)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.58 % (1842175)Time elapsed: 0.003 s
% 3.69/1.58 % (1842175)Peak memory usage: 88 MB
% 3.69/1.58 % (1842175)Instructions burned: 3 (million)
% 3.69/1.58 % (1842176)Instruction limit reached!
% 3.69/1.58 % (1842176)------------------------------
% 3.69/1.58 % (1842176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.58 % (1842176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.58 % (1842176)CaDiCaL version: 2.1.3
% 3.69/1.58 % (1842176)Termination reason: Instruction limit
% 3.69/1.58 % (1842176)Termination phase: Saturation
% 3.69/1.58 % (1842176)Time elapsed: 0.071 s
% 3.69/1.58 % (1842176)Peak memory usage: 88 MB
% 3.69/1.58 % (1842176)Instructions burned: 120 (million)
% 3.69/1.58 % (1842177)Instruction limit reached!
% 3.69/1.58 % (1842177)------------------------------
% 3.69/1.58 % (1842177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.58 % (1842177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.58 % (1842177)CaDiCaL version: 2.1.3
% 3.69/1.58 % (1842177)Termination reason: Instruction limit
% 3.69/1.58 % (1842177)Termination phase: Saturation
% 3.69/1.58 % (1842177)Time elapsed: 0.153 s
% 3.69/1.58 % (1842177)Peak memory usage: 89 MB
% 3.69/1.58 % (1842177)Instructions burned: 139 (million)
% 3.69/1.58 % (1842185)lrs+10_1_sil=8000:sp=occurrence:random_seed=3047532972:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.69/1.58 % (1842207)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3991056467:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.69/1.58 % (1842207)First to succeed.
% 3.69/1.58 % (1842207)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1842066"
% 3.69/1.58 % (1842215)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1614154678:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.69/1.58 % (1842175)------------------------------
% 3.69/1.58 % (1842175)------------------------------
% 3.69/1.58 % (1842207)Refutation found. Thanks to Tanya!
% 5.50/1.78 % SZS status Theorem for theBenchmark
% 5.50/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 5.50/1.78 % (1842207)------------------------------
% 5.50/1.78 % (1842207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.78 % (1842207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.78 % (1842207)CaDiCaL version: 2.1.3
% 5.50/1.78 % (1842207)Termination reason: Refutation
% 5.50/1.78 % (1842207)Time elapsed: 0.008 s
% 5.50/1.78 % (1842207)Peak memory usage: 89 MB
% 5.50/1.78 % (1842207)Instructions burned: 12 (million)
% 5.50/1.78 % (1842207)------------------------------
% 5.50/1.78 % (1842207)------------------------------
% 5.50/1.78 % (1842066)Success in time 0.698 s
% 5.50/1.78 % Vampire exiting
%------------------------------------------------------------------------------