%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU226+2 : 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 : n017.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 12:47:51 PM UTC 2026
% Result : Theorem 2.99s 1.50s
% Output : Refutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 41 ( 10 unt; 0 def)
% Number of atoms : 243 ( 41 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 317 ( 115 ~; 117 |; 66 &)
% ( 14 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 120 ( 102 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,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/sandbox2/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f14,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f28,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f149,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t145_funct_1) ).
fof(f150,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
inference(negated_conjecture,[status(cth)],[f149]) ).
fof(f246,plain,
? [X0,X1] :
( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f150]) ).
fof(f247,plain,
? [X0,X1] :
( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f246]) ).
fof(f255,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,[],[f12]) ).
fof(f256,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,[],[f255]) ).
fof(f259,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f267,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f268,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f267]) ).
fof(f269,plain,
( ~ subset(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0)
& relation(sK1)
& function(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f247]) ).
fof(f278,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,[],[f256]) ).
fof(f279,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,[],[f278]) ).
fof(f280,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != sK8(X0,X1,X2) )
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( in(sK9(X0,X1,X2),relation_dom(X0))
& in(sK9(X0,X1,X2),X1)
& sK8(X0,X1,X2) = apply(X0,sK9(X0,X1,X2)) )
| in(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ( in(sK10(X0,X1,X6),relation_dom(X0))
& in(sK10(X0,X1,X6),X1)
& apply(X0,sK10(X0,X1,X6)) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X5,sK9(X0,X1,X2)),skolemize(X8,sK10(X0,X1,X6))],[f279]) ).
fof(f281,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,[],[f259]) ).
fof(f282,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,[],[f281]) ).
fof(f283,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK11(X0,X1),X1)
& in(sK11(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f282]) ).
fof(f292,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f268]) ).
fof(f293,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f292]) ).
fof(f294,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f293]) ).
fof(f295,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ~ in(sK16(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK16(X0,X1,X2)),X1)
| ~ in(sK16(X0,X1,X2),X2) )
& ( ( in(sK16(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK16(X0,X1,X2)),X1) )
| in(sK16(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X3,sK16(X0,X1,X2))],[f294]) ).
fof(f296,plain,
function(sK1),
inference(cnf_transformation,[],[f269]) ).
fof(f297,plain,
relation(sK1),
inference(cnf_transformation,[],[f269]) ).
fof(f298,plain,
~ subset(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),
inference(cnf_transformation,[],[f269]) ).
fof(f319,plain,
! [X2,X0,X1,X6] :
( apply(X0,sK10(X0,X1,X6)) = X6
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f320,plain,
! [X2,X0,X1,X6] :
( in(sK10(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f330,plain,
! [X0,X1] :
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f283]) ).
fof(f331,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f283]) ).
fof(f348,plain,
! [X2,X0,X1,X4] :
( in(apply(X0,X4),X1)
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f360,plain,
! [X0,X1,X6] :
( in(sK10(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f320]) ).
fof(f361,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_image(X0,X1))
| apply(X0,sK10(X0,X1,X6)) = X6
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f319]) ).
fof(f369,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f348]) ).
fof(f377,plain,
in(sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),relation_image(sK1,relation_inverse_image(sK1,sK0))),
inference(unit_resulting_resolution,[],[f330,f298]) ).
fof(f378,plain,
~ in(sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),sK0),
inference(unit_resulting_resolution,[],[f331,f298]) ).
fof(f516,plain,
in(sK10(sK1,relation_inverse_image(sK1,sK0),sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0)),relation_inverse_image(sK1,sK0)),
inference(unit_resulting_resolution,[],[f360,f296,f297,f377]) ).
fof(f537,plain,
sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0) = apply(sK1,sK10(sK1,relation_inverse_image(sK1,sK0),sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0))),
inference(unit_resulting_resolution,[],[f361,f296,f297,f377]) ).
fof(f912,plain,
in(apply(sK1,sK10(sK1,relation_inverse_image(sK1,sK0),sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0))),sK0),
inference(unit_resulting_resolution,[],[f369,f296,f297,f516]) ).
fof(f916,plain,
in(sK11(relation_image(sK1,relation_inverse_image(sK1,sK0)),sK0),sK0),
inference(forward_demodulation,[],[f912,f537]) ).
fof(f918,plain,
$false,
inference(forward_subsumption_resolution,[],[f916,f378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU226+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 04:05:21 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.99/1.50 % (3190381)Detected formulas, will run a generic FOF schedule.
% 2.99/1.50 % (3190390)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3566051136:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/1.50 % (3190388)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=3808635486:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/1.50 % (3190386)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=2639741800:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/1.50 % (3190389)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3486964215:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/1.50 % (3190387)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=3699902053:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/1.50 % (3190391)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3918331850:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/1.50 % (3190390)Instruction limit reached!
% 2.99/1.50 % (3190390)------------------------------
% 2.99/1.50 % (3190390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.50 % (3190390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.50 % (3190390)CaDiCaL version: 2.1.3
% 2.99/1.50 % (3190390)Termination reason: Instruction limit
% 2.99/1.50 % (3190390)Termination phase: Saturation
% 2.99/1.50 % (3190390)Time elapsed: 0.045 s
% 2.99/1.50 % (3190390)Peak memory usage: 89 MB
% 2.99/1.50 % (3190390)Instructions burned: 121 (million)
% 2.99/1.50 % (3190392)dis-21_1_sil=8000:lcm=predicate:random_seed=368947497: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)
% 2.99/1.50 % (3190389)Instruction limit reached!
% 2.99/1.50 % (3190389)------------------------------
% 2.99/1.50 % (3190389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.50 % (3190389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.50 % (3190389)CaDiCaL version: 2.1.3
% 2.99/1.50 % (3190389)Termination reason: Instruction limit
% 2.99/1.50 % (3190389)Termination phase: Saturation
% 2.99/1.50 % (3190389)Time elapsed: 0.072 s
% 2.99/1.50 % (3190389)Peak memory usage: 90 MB
% 2.99/1.50 % (3190389)Instructions burned: 109 (million)
% 2.99/1.50 % (3190399)lrs+10_1_sil=8000:sp=occurrence:random_seed=1679919501:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.99/1.50 % (3190392)Instruction limit reached!
% 2.99/1.50 % (3190392)------------------------------
% 2.99/1.50 % (3190392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.50 % (3190392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.50 % (3190392)CaDiCaL version: 2.1.3
% 2.99/1.50 % (3190392)Termination reason: Instruction limit
% 2.99/1.50 % (3190392)Termination phase: Saturation
% 2.99/1.50 % (3190392)Time elapsed: 0.084 s
% 2.99/1.50 % (3190392)Peak memory usage: 90 MB
% 2.99/1.50 % (3190392)Instructions burned: 129 (million)
% 2.99/1.50 % (3190391)Instruction limit reached!
% 2.99/1.50 % (3190391)------------------------------
% 2.99/1.50 % (3190391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.50 % (3190391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.50 % (3190391)CaDiCaL version: 2.1.3
% 2.99/1.50 % (3190391)Termination reason: Instruction limit
% 2.99/1.50 % (3190391)Termination phase: Saturation
% 2.99/1.50 % (3190391)Time elapsed: 0.101 s
% 2.99/1.50 % (3190391)Peak memory usage: 90 MB
% 2.99/1.50 % (3190391)Instructions burned: 139 (million)
% 2.99/1.50 % (3190399)Instruction limit reached!
% 2.99/1.50 % (3190399)------------------------------
% 2.99/1.50 % (3190399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.50 % (3190399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.50 % (3190399)CaDiCaL version: 2.1.3
% 2.99/1.50 % (3190399)Termination reason: Instruction limit
% 2.99/1.50 % (3190399)Termination phase: Saturation
% 2.99/1.50 % (3190399)Time elapsed: 0.104 s
% 2.99/1.50 % (3190399)Peak memory usage: 93 MB
% 2.99/1.50 % (3190399)Instructions burned: 287 (million)
% 2.99/1.50 % (3190401)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1674445304:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.99/1.50 % (3190403)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1831445024:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.99/1.50 % (3190401)First to succeed.
% 2.99/1.50 % (3190401)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3190381"
% 2.99/1.50 % (3190404)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=1757672454:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 2.99/1.50 % (3190405)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2179202733:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 2.99/1.50 % (3190404)Instruction limit reached!
% 2.99/1.50 % (3190404)------------------------------
% 2.99/1.50 % (3190404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.50 % (3190404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.50 % (3190404)CaDiCaL version: 2.1.3
% 2.99/1.50 % (3190404)Termination reason: Instruction limit
% 2.99/1.50 % (3190404)Termination phase: Saturation
% 2.99/1.50 % (3190404)Time elapsed: 0.142 s
% 2.99/1.50 % (3190404)Peak memory usage: 93 MB
% 2.99/1.50 % (3190404)Instructions burned: 249 (million)
% 2.99/1.50 % (3190405)Instruction limit reached!
% 2.99/1.50 % (3190405)------------------------------
% 2.99/1.50 % (3190405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.50 % (3190405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.50 % (3190405)CaDiCaL version: 2.1.3
% 2.99/1.50 % (3190405)Termination reason: Instruction limit
% 2.99/1.50 % (3190405)Termination phase: Saturation
% 2.99/1.50 % (3190405)Time elapsed: 0.100 s
% 2.99/1.50 % (3190405)Peak memory usage: 90 MB
% 2.99/1.50 % (3190405)Instructions burned: 295 (million)
% 2.99/1.50 % (3190403)Instruction limit reached!
% 2.99/1.50 % (3190403)------------------------------
% 2.99/1.50 % (3190403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.50 % (3190403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.50 % (3190403)CaDiCaL version: 2.1.3
% 2.99/1.50 % (3190403)Termination reason: Instruction limit
% 2.99/1.50 % (3190403)Termination phase: Saturation
% 2.99/1.50 % (3190403)Time elapsed: 0.223 s
% 2.99/1.50 % (3190403)Peak memory usage: 93 MB
% 2.99/1.50 % (3190403)Instructions burned: 325 (million)
% 2.99/1.50 % (3190411)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2486319779:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 2.99/1.50 % (3190401)Refutation found. Thanks to Tanya!
% 2.99/1.50 % SZS status Theorem for theBenchmark
% 2.99/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 2.99/1.59 % (3190401)------------------------------
% 2.99/1.59 % (3190401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.59 % (3190401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.59 % (3190401)CaDiCaL version: 2.1.3
% 2.99/1.59 % (3190401)Termination reason: Refutation
% 2.99/1.59 % (3190401)Time elapsed: 0.023 s
% 2.99/1.59 % (3190401)Peak memory usage: 89 MB
% 2.99/1.59 % (3190401)Instructions burned: 33 (million)
% 2.99/1.59 % (3190401)------------------------------
% 2.99/1.59 % (3190401)------------------------------
% 2.99/1.59 % (3190381)Success in time 0.637 s
% 2.99/1.59 % Vampire exiting
%------------------------------------------------------------------------------