%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU290+1 : 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 : n014.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 12:48:11 PM UTC 2026
% Result : Theorem 2.04s 1.51s
% Output : Refutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 13 unt; 2 def)
% Number of atoms : 239 ( 73 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 277 ( 99 ~; 103 |; 48 &)
% ( 15 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 123 ( 0 sgn 106 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f6,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( ( X1 = empty_set
=> X0 = empty_set )
=> ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) )
& ( X1 = empty_set
=> ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f17,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f44,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f45,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f53,conjecture,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( in(X2,X0)
=> ( X1 = empty_set
| in(apply(X3,X2),relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_funct_2) ).
fof(f54,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( in(X2,X0)
=> ( X1 = empty_set
| in(apply(X3,X2),relation_rng(X3)) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f68,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f4]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f73]) ).
fof(f76,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f86,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f95,plain,
? [X0,X1,X2,X3] :
( empty_set != X1
& ~ in(apply(X3,X2),relation_rng(X3))
& in(X2,X0)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f96,plain,
? [X0,X1,X2,X3] :
( empty_set != X1
& ~ in(apply(X3,X2),relation_rng(X3))
& in(X2,X0)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f95]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( ( ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( X0 = relation_dom_as_subset(X0,X1,X2)
| ~ quasi_total(X2,X0,X1) ) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| ~ quasi_total(X2,X0,X1) ) )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK0(X0,X1) )
| ~ in(sK0(X0,X1),X1) )
& ( ( in(sK1(X0,X1),relation_dom(X0))
& sK0(X0,X1) = apply(X0,sK1(X0,X1)) )
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK2(X0,X5),relation_dom(X0))
& apply(X0,sK2(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0,X1)),skolemize(X4,sK1(X0,X1)),skolemize(X7,sK2(X0,X5))],[f101]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f121,plain,
( empty_set != sK21
& ~ in(apply(sK23,sK22),relation_rng(sK23))
& in(sK22,sK20)
& function(sK23)
& quasi_total(sK23,sK20,sK21)
& relation_of2_as_subset(sK23,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23)],[f96]) ).
fof(f125,plain,
! [X2,X0,X1] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f68]) ).
fof(f130,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X0,X1,X2) = X0
| ~ quasi_total(X2,X0,X1)
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f136,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f141,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f188,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f189,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f198,plain,
relation_of2_as_subset(sK23,sK20,sK21),
inference(cnf_transformation,[],[f121]) ).
fof(f199,plain,
quasi_total(sK23,sK20,sK21),
inference(cnf_transformation,[],[f121]) ).
fof(f200,plain,
function(sK23),
inference(cnf_transformation,[],[f121]) ).
fof(f201,plain,
in(sK22,sK20),
inference(cnf_transformation,[],[f121]) ).
fof(f202,plain,
~ in(apply(sK23,sK22),relation_rng(sK23)),
inference(cnf_transformation,[],[f121]) ).
fof(f203,plain,
empty_set != sK21,
inference(cnf_transformation,[],[f121]) ).
fof(f211,plain,
! [X0,X1,X6] :
( in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f136]) ).
fof(f212,plain,
! [X0,X6] :
( ~ in(X6,relation_dom(X0))
| in(apply(X0,X6),relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f211]) ).
fof(f267,plain,
! [X2,X0,X1] :
( relation_dom(X2) = X0
| ~ relation_of2(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(superposition,[],[f188,f130]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| empty_set = X1
| relation_dom(X2) = X0 ),
inference(forward_subsumption_resolution,[],[f267,f189]) ).
fof(f378,plain,
( ~ quasi_total(sK23,sK20,sK21)
| empty_set = sK21
| sK20 = relation_dom(sK23) ),
inference(resolution,[],[f268,f198]) ).
fof(f381,plain,
( empty_set = sK21
| sK20 = relation_dom(sK23) ),
inference(forward_subsumption_resolution,[],[f378,f199]) ).
fof(f382,plain,
sK20 = relation_dom(sK23),
inference(forward_subsumption_resolution,[],[f381,f203]) ).
fof(f387,plain,
! [X0] :
( ~ in(X0,sK20)
| in(apply(sK23,X0),relation_rng(sK23))
| ~ relation(sK23)
| ~ function(sK23) ),
inference(superposition,[],[f212,f382]) ).
fof(f388,plain,
! [X0] :
( ~ in(X0,sK20)
| in(apply(sK23,X0),relation_rng(sK23))
| ~ relation(sK23) ),
inference(forward_subsumption_resolution,[],[f387,f200]) ).
fof(f391,definition,
( spl24_3
<=> relation(sK23) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f393,plain,
( ~ relation(sK23)
| spl24_3 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f395,definition,
( spl24_4
<=> ! [X0] :
( ~ in(X0,sK20)
| in(apply(sK23,X0),relation_rng(sK23)) ) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f396,plain,
( ! [X0] :
( ~ in(X0,sK20)
| in(apply(sK23,X0),relation_rng(sK23)) )
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f397,plain,
( ~ spl24_3
| spl24_4 ),
inference(avatar_split_clause,[],[f388,f395,f391]) ).
fof(f407,plain,
( ! [X0,X1] : ~ element(sK23,powerset(cartesian_product2(X0,X1)))
| spl24_3 ),
inference(resolution,[],[f393,f125]) ).
fof(f414,plain,
( ! [X0,X1] : ~ relation_of2_as_subset(sK23,X0,X1)
| spl24_3 ),
inference(resolution,[],[f407,f141]) ).
fof(f417,plain,
( $false
| spl24_3 ),
inference(resolution,[],[f414,f198]) ).
fof(f419,plain,
spl24_3,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f443,plain,
( in(apply(sK23,sK22),relation_rng(sK23))
| ~ spl24_4 ),
inference(resolution,[],[f396,f201]) ).
fof(f444,plain,
( $false
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f443,f202]) ).
fof(f445,plain,
~ spl24_4,
inference(avatar_contradiction_clause,[],[f444]) ).
cnf(s2,plain,
( ~ spl24_3
| spl24_4 ),
inference(sat_conversion,[],[f397]) ).
cnf(s4,plain,
spl24_3,
inference(sat_conversion,[],[f419]) ).
cnf(s6,plain,
~ spl24_4,
inference(sat_conversion,[],[f445]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s2,s6,s4]) ).
fof(f447,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n014.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 28 04:31:01 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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
% 2.04/1.51 % (1430757)Detected formulas, will run a generic FOF schedule.
% 2.04/1.51 % (1430764)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=60685025:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.04/1.51 % (1430769)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3921062424:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.04/1.51 % (1430769)First to succeed.
% 2.04/1.51 % (1430769)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1430757"
% 2.04/1.51 % (1430765)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=181798719:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.04/1.51 % (1430766)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=359972297:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.04/1.51 % (1430767)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2594280116:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.04/1.51 % (1430768)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4058606056:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.04/1.51 % (1430767)Refutation not found, incomplete strategy
% 2.04/1.51 % (1430767)------------------------------
% 2.04/1.51 % (1430767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.04/1.51 % (1430767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/1.51 % (1430767)CaDiCaL version: 2.1.3
% 2.04/1.51 % (1430767)Termination reason: Refutation not found, incomplete strategy
% 2.04/1.51 % (1430767)Time elapsed: 0.006 s
% 2.04/1.51 % (1430767)Peak memory usage: 88 MB
% 2.04/1.51 % (1430767)Instructions burned: 3 (million)
% 2.04/1.51 % (1430770)dis-21_1_sil=8000:lcm=predicate:random_seed=1358445233: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)
% 2.04/1.51 % (1430768)Instruction limit reached!
% 2.04/1.51 % (1430768)------------------------------
% 2.04/1.51 % (1430768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.04/1.51 % (1430768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/1.51 % (1430768)CaDiCaL version: 2.1.3
% 2.04/1.51 % (1430768)Termination reason: Instruction limit
% 2.04/1.51 % (1430768)Termination phase: Saturation
% 2.04/1.51 % (1430768)Time elapsed: 0.113 s
% 2.04/1.51 % (1430768)Peak memory usage: 88 MB
% 2.04/1.51 % (1430768)Instructions burned: 119 (million)
% 2.04/1.51 % (1430770)Instruction limit reached!
% 2.04/1.51 % (1430770)------------------------------
% 2.04/1.51 % (1430770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.04/1.51 % (1430770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/1.51 % (1430770)CaDiCaL version: 2.1.3
% 2.04/1.51 % (1430770)Termination reason: Instruction limit
% 2.04/1.51 % (1430770)Termination phase: Saturation
% 2.04/1.51 % (1430770)Time elapsed: 0.133 s
% 2.04/1.51 % (1430770)Peak memory usage: 90 MB
% 2.04/1.51 % (1430770)Instructions burned: 129 (million)
% 2.04/1.51 % (1430769)Refutation found. Thanks to Tanya!
% 2.04/1.51 % SZS status Theorem for theBenchmark
% 2.04/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 4.16/1.73 % (1430769)------------------------------
% 4.16/1.73 % (1430769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.73 % (1430769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.73 % (1430769)CaDiCaL version: 2.1.3
% 4.16/1.73 % (1430769)Termination reason: Refutation
% 4.16/1.73 % (1430769)Time elapsed: 0.015 s
% 4.16/1.73 % (1430769)Peak memory usage: 90 MB
% 4.16/1.73 % (1430769)Instructions burned: 15 (million)
% 4.16/1.73 % (1430769)------------------------------
% 4.16/1.73 % (1430769)------------------------------
% 4.16/1.73 % (1430757)Success in time 0.478 s
% 4.16/1.73 % Vampire exiting
%------------------------------------------------------------------------------