%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM856+1 : TPTP v9.3.1. Released v4.1.0.
% 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 12:17:17 PM UTC 2026
% Result : Theorem 4.64s 1.64s
% Output : Refutation 6.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 109 ( 20 unt; 8 def)
% Number of atoms : 241 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 242 ( 110 ~; 112 |; 7 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd517,vd519),vmul(vd518,vd520)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(scope(318)), 525, 0)') ).
fof(f2,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ( greater(vd519,vd520)
& geq(vd517,vd518) )
| ( geq(vd519,vd520)
& greater(vd517,vd518) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(scope(318)))') ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( greater(X2,X3)
& greater(X0,X1) )
=> greater(vmul(X0,X2),vmul(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(312, 0), 0)') ).
fof(f10,axiom,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vmul(X1,X0),vmul(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(f11,axiom,
! [X0,X1,X2] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).
fof(f13,axiom,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f36,axiom,
! [X0,X1] :
( geq(X1,X0)
<=> ( greater(X1,X0)
| X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f37,axiom,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f38,axiom,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f39,axiom,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f41,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f42,axiom,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f61,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(flattening,[],[f2]) ).
fof(f62,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f63,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f70,plain,
! [X0,X1,X2] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X2,X3)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X2,X3)
| ~ greater(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f81,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( ~ greater(X1,X0)
& X0 != X1 ) )
& ( greater(X1,X0)
| X1 = X0
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f82,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( ~ greater(X1,X0)
& X0 != X1 ) )
& ( greater(X1,X0)
| X1 = X0
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(cnf_transformation,[],[f61]) ).
fof(f84,plain,
( geq(vd517,vd518)
| greater(vd517,vd518) ),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
( greater(vd519,vd520)
| greater(vd517,vd518) ),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
( greater(vd519,vd520)
| geq(vd519,vd520) ),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f91,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f92,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f93,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f94,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f95,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| greater(X1,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f97,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ greater(X2,X3)
| greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f112,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f13]) ).
fof(f114,plain,
! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f11]) ).
fof(f120,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f90]) ).
fof(f123,plain,
geq(vd517,vd518),
inference(forward_subsumption_resolution,[],[f84,f97]) ).
fof(f125,definition,
( spl1_1
<=> geq(vd519,vd520) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f127,plain,
( geq(vd519,vd520)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl1_2
<=> geq(vd517,vd518) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f131,plain,
( geq(vd517,vd518)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f134,definition,
( spl1_3
<=> greater(vd517,vd518) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f136,plain,
( greater(vd517,vd518)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,definition,
( spl1_4
<=> greater(vd519,vd520) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f139,plain,
( ~ greater(vd519,vd520)
| spl1_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f140,plain,
( greater(vd519,vd520)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f86,f138,f134]) ).
fof(f142,plain,
geq(vd519,vd520),
inference(forward_subsumption_resolution,[],[f87,f97]) ).
fof(f143,plain,
spl1_2,
inference(avatar_split_clause,[],[f123,f129]) ).
fof(f144,plain,
spl1_1,
inference(avatar_split_clause,[],[f142,f125]) ).
fof(f145,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(resolution,[],[f93,f91]) ).
fof(f157,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| greater(X1,X0) ),
inference(resolution,[],[f92,f94]) ).
fof(f162,plain,
( vd519 = vd520
| greater(vd519,vd520)
| ~ spl1_1 ),
inference(resolution,[],[f95,f127]) ).
fof(f163,plain,
( vd517 = vd518
| greater(vd517,vd518)
| ~ spl1_2 ),
inference(resolution,[],[f95,f131]) ).
fof(f165,definition,
( spl1_5
<=> vd517 = vd518 ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f167,plain,
( vd517 = vd518
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
( spl1_3
| spl1_5
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f163,f129,f165,f134]) ).
fof(f321,plain,
! [X2,X0,X1] : vmul(X0,vmul(X1,X2)) = vmul(X2,vmul(X0,X1)),
inference(superposition,[],[f112,f114]) ).
fof(f360,plain,
( ! [X0,X1] :
( greater(vmul(X0,vd519),vmul(X1,vd520))
| ~ greater(X0,X1) )
| ~ spl1_4 ),
inference(resolution,[],[f107,f140]) ).
fof(f662,plain,
( vmul(vd517,vd519) = vmul(vd518,vd520)
| greater(vmul(vd518,vd520),vmul(vd517,vd519)) ),
inference(resolution,[],[f157,f83]) ).
fof(f675,definition,
( spl1_8
<=> greater(vmul(vd518,vd520),vmul(vd517,vd519)) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f677,plain,
( greater(vmul(vd518,vd520),vmul(vd517,vd519))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f679,definition,
( spl1_9
<=> vmul(vd517,vd519) = vmul(vd518,vd520) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f681,plain,
( vmul(vd517,vd519) = vmul(vd518,vd520)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f682,plain,
( spl1_8
| spl1_9 ),
inference(avatar_split_clause,[],[f662,f679,f675]) ).
fof(f685,plain,
( ! [X0] : greater(vmul(vmul(vd518,vd520),X0),vmul(vmul(vd517,vd519),X0))
| ~ spl1_8 ),
inference(resolution,[],[f677,f105]) ).
fof(f688,plain,
( ! [X0] : greater(vmul(vmul(vd518,vd520),X0),vmul(vd517,vmul(vd519,X0)))
| ~ spl1_8 ),
inference(forward_demodulation,[],[f685,f114]) ).
fof(f689,plain,
( ! [X0] : greater(vmul(vd518,vmul(vd520,X0)),vmul(vd517,vmul(vd519,X0)))
| ~ spl1_8 ),
inference(forward_demodulation,[],[f688,f114]) ).
fof(f1079,plain,
( ! [X0] : ~ greater(vmul(vd517,vmul(vd519,X0)),vmul(vd518,vmul(vd520,X0)))
| ~ spl1_8 ),
inference(resolution,[],[f689,f145]) ).
fof(f1281,plain,
( ~ greater(vd517,vd518)
| ~ spl1_4 ),
inference(resolution,[],[f360,f83]) ).
fof(f1300,plain,
( $false
| ~ spl1_3
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f1281,f136]) ).
fof(f1301,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1303,plain,
( vd519 = vd520
| ~ spl1_1
| spl1_4 ),
inference(forward_subsumption_resolution,[],[f162,f139]) ).
fof(f1351,definition,
( spl1_11
<=> vmul(vd517,vd519) = vmul(vd517,vd520) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f1353,plain,
( vmul(vd517,vd519) = vmul(vd517,vd520)
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1357,plain,
( ! [X0] : greater(vmul(vd519,X0),vmul(vd520,X0))
| ~ spl1_4 ),
inference(resolution,[],[f140,f105]) ).
fof(f1413,plain,
( ! [X0] : greater(vmul(vd519,X0),vmul(X0,vd520))
| ~ spl1_4 ),
inference(superposition,[],[f1357,f112]) ).
fof(f1643,plain,
( ! [X0,X1] : greater(vmul(X0,vmul(vd519,X1)),vmul(vd520,vmul(X1,X0)))
| ~ spl1_4 ),
inference(superposition,[],[f1357,f321]) ).
fof(f1651,plain,
( ! [X0] : ~ greater(vmul(vd517,vmul(vd519,X0)),vmul(X0,vmul(vd518,vd520)))
| ~ spl1_8 ),
inference(superposition,[],[f1079,f321]) ).
fof(f1736,plain,
( ! [X0] : ~ greater(vmul(vd517,vmul(vd519,X0)),vmul(X0,vmul(vd517,vd520)))
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_demodulation,[],[f1651,f167]) ).
fof(f3113,plain,
( ! [X0] : ~ greater(vmul(vd517,vmul(vd519,X0)),vmul(vd520,vmul(X0,vd517)))
| ~ spl1_5
| ~ spl1_8 ),
inference(superposition,[],[f1736,f321]) ).
fof(f3122,plain,
( $false
| ~ spl1_4
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f3113,f1643]) ).
fof(f3123,plain,
( ~ spl1_4
| ~ spl1_5
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f3122]) ).
fof(f3135,plain,
( vmul(vd517,vd519) = vmul(vd517,vd520)
| ~ spl1_5
| ~ spl1_9 ),
inference(forward_demodulation,[],[f681,f167]) ).
fof(f3138,plain,
( spl1_11
| ~ spl1_5
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f3135,f679,f165,f1351]) ).
fof(f3812,plain,
( greater(vmul(vd519,vd517),vmul(vd517,vd519))
| ~ spl1_4
| ~ spl1_11 ),
inference(superposition,[],[f1413,f1353]) ).
fof(f3819,plain,
( greater(vmul(vd517,vd519),vmul(vd517,vd519))
| ~ spl1_4
| ~ spl1_11 ),
inference(forward_demodulation,[],[f3812,f112]) ).
fof(f3827,plain,
( $false
| ~ spl1_4
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f3819,f120]) ).
fof(f3828,plain,
( ~ spl1_4
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f3827]) ).
fof(f3854,plain,
( ! [X0] : greater(vmul(vd517,X0),vmul(vd518,X0))
| ~ spl1_3 ),
inference(resolution,[],[f136,f105]) ).
fof(f3959,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd518,vd519))
| ~ spl1_1
| spl1_4 ),
inference(superposition,[],[f83,f1303]) ).
fof(f3967,plain,
( $false
| ~ spl1_1
| ~ spl1_3
| spl1_4 ),
inference(forward_subsumption_resolution,[],[f3959,f3854]) ).
fof(f3968,plain,
( ~ spl1_1
| ~ spl1_3
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f3967]) ).
cnf(s2,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f141]) ).
cnf(s3,plain,
spl1_2,
inference(sat_conversion,[],[f143]) ).
cnf(s4,plain,
spl1_1,
inference(sat_conversion,[],[f144]) ).
cnf(s5,plain,
( ~ spl1_2
| spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f168]) ).
cnf(s12,plain,
( spl1_8
| spl1_9 ),
inference(sat_conversion,[],[f682]) ).
cnf(s13,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f1301]) ).
cnf(s20,plain,
( ~ spl1_4
| ~ spl1_5
| ~ spl1_8 ),
inference(sat_conversion,[],[f3123]) ).
cnf(s22,plain,
( ~ spl1_5
| ~ spl1_9
| spl1_11 ),
inference(sat_conversion,[],[f3138]) ).
cnf(s30,plain,
( ~ spl1_4
| ~ spl1_11 ),
inference(sat_conversion,[],[f3828]) ).
cnf(s36,plain,
( ~ spl1_1
| ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f3968]) ).
cnf(s38,plain,
( ~ spl1_5
| ~ spl1_4 ),
inference(rat,[],[s22,s12,s30,s20]) ).
cnf(s39,plain,
spl1_3,
inference(rat,[],[s38,s2,s5,s3]) ).
cnf(s40,plain,
spl1_4,
inference(rat,[],[s36,s4,s39]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s13,s40,s39]) ).
fof(f3969,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM856+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:36:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.64/1.64 % (3012322)Detected formulas, will run a generic FOF schedule.
% 4.64/1.64 % (3012331)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3170736434:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.64/1.64 % (3012328)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=4036783493:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.64/1.64 % (3012329)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=3740212250:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.64/1.64 % (3012327)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=2598340919:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.64/1.64 % (3012331)Instruction limit reached!
% 4.64/1.64 % (3012331)------------------------------
% 4.64/1.64 % (3012331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.64 % (3012331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.64 % (3012331)CaDiCaL version: 2.1.3
% 4.64/1.64 % (3012331)Termination reason: Instruction limit
% 4.64/1.64 % (3012331)Termination phase: Saturation
% 4.64/1.64 % (3012331)Time elapsed: 0.044 s
% 4.64/1.64 % (3012331)Peak memory usage: 89 MB
% 4.64/1.64 % (3012331)Instructions burned: 121 (million)
% 4.64/1.64 % (3012330)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4154228113:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.64/1.64 % (3012330)Refutation not found, incomplete strategy
% 4.64/1.64 % (3012330)------------------------------
% 4.64/1.64 % (3012330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.64 % (3012330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.64 % (3012330)CaDiCaL version: 2.1.3
% 4.64/1.64 % (3012330)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.64 % (3012330)Time elapsed: 0.002 s
% 4.64/1.64 % (3012330)Peak memory usage: 88 MB
% 4.64/1.64 % (3012330)Instructions burned: 1 (million)
% 4.64/1.64 % (3012333)dis-21_1_sil=8000:lcm=predicate:random_seed=2909963220: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)
% 4.64/1.64 % (3012332)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2174880240:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.64/1.64 % (3012338)lrs+10_1_sil=8000:sp=occurrence:random_seed=2561321456:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.64/1.64 % (3012333)Instruction limit reached!
% 4.64/1.64 % (3012333)------------------------------
% 4.64/1.64 % (3012333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.64 % (3012333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.64 % (3012333)CaDiCaL version: 2.1.3
% 4.64/1.64 % (3012333)Termination reason: Instruction limit
% 4.64/1.64 % (3012333)Termination phase: Saturation
% 4.64/1.64 % (3012333)Time elapsed: 0.085 s
% 4.64/1.64 % (3012333)Peak memory usage: 89 MB
% 4.64/1.64 % (3012333)Instructions burned: 129 (million)
% 4.64/1.64 % (3012332)Instruction limit reached!
% 4.64/1.64 % (3012332)------------------------------
% 4.64/1.64 % (3012332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.64 % (3012332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.64 % (3012332)CaDiCaL version: 2.1.3
% 4.64/1.64 % (3012332)Termination reason: Instruction limit
% 4.64/1.64 % (3012332)Termination phase: Saturation
% 4.64/1.64 % (3012332)Time elapsed: 0.107 s
% 4.64/1.64 % (3012332)Peak memory usage: 90 MB
% 4.64/1.64 % (3012332)Instructions burned: 140 (million)
% 4.64/1.64 % (3012338)Instruction limit reached!
% 4.64/1.64 % (3012338)------------------------------
% 4.64/1.64 % (3012338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.64 % (3012338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.64 % (3012338)CaDiCaL version: 2.1.3
% 4.64/1.64 % (3012338)Termination reason: Instruction limit
% 4.64/1.64 % (3012338)Termination phase: Saturation
% 4.64/1.64 % (3012338)Time elapsed: 0.104 s
% 4.64/1.64 % (3012338)Peak memory usage: 91 MB
% 4.64/1.64 % (3012338)Instructions burned: 287 (million)
% 4.64/1.64 % (3012343)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1473965544:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.64/1.64 % (3012330)------------------------------
% 4.64/1.64 % (3012330)------------------------------
% 4.64/1.64 % (3012344)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2484769781:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.64/1.64 % (3012345)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=701776803:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.64/1.64 % (3012343)Instruction limit reached!
% 4.64/1.64 % (3012343)------------------------------
% 4.64/1.64 % (3012343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.64 % (3012343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.64 % (3012343)CaDiCaL version: 2.1.3
% 4.64/1.64 % (3012343)Termination reason: Instruction limit
% 4.64/1.64 % (3012343)Termination phase: Saturation
% 4.64/1.64 % (3012343)Time elapsed: 0.098 s
% 4.64/1.64 % (3012343)Peak memory usage: 90 MB
% 4.64/1.64 % (3012343)Instructions burned: 159 (million)
% 4.64/1.64 % (3012345)Instruction limit reached!
% 4.64/1.64 % (3012345)------------------------------
% 4.64/1.64 % (3012345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.64 % (3012345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.64 % (3012345)CaDiCaL version: 2.1.3
% 4.64/1.64 % (3012345)Termination reason: Instruction limit
% 4.64/1.64 % (3012345)Termination phase: Saturation
% 4.64/1.64 % (3012345)Time elapsed: 0.082 s
% 4.64/1.64 % (3012345)Peak memory usage: 91 MB
% 4.64/1.64 % (3012345)Instructions burned: 248 (million)
% 4.64/1.64 % (3012344)First to succeed.
% 4.64/1.64 % (3012344)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3012322"
% 4.64/1.64 % (3012347)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2196147640:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.64/1.64 % (3012347)Refutation not found, incomplete strategy
% 4.64/1.64 % (3012347)------------------------------
% 4.64/1.64 % (3012347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.64 % (3012347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.64 % (3012347)CaDiCaL version: 2.1.3
% 4.64/1.64 % (3012347)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.64 % (3012347)Time elapsed: 0.003 s
% 4.64/1.64 % (3012347)Peak memory usage: 89 MB
% 4.64/1.64 % (3012347)Instructions burned: 3 (million)
% 4.64/1.64 % (3012351)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1559047769:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.64/1.64 % (3012351)Also succeeded, but the first one will report.
% 4.64/1.64 % (3012350)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1478786630:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.64/1.64 % (3012328)Also succeeded, but the first one will report.
% 4.64/1.64 % (3012329)Also succeeded, but the first one will report.
% 4.64/1.64 % (3012347)------------------------------
% 4.64/1.64 % (3012347)------------------------------
% 4.64/1.64 % (3012344)Refutation found. Thanks to Tanya!
% 4.64/1.64 % SZS status Theorem for theBenchmark
% 4.64/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 6.17/1.84 % (3012344)------------------------------
% 6.17/1.84 % (3012344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.84 % (3012344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.84 % (3012344)CaDiCaL version: 2.1.3
% 6.17/1.84 % (3012344)Termination reason: Refutation
% 6.17/1.84 % (3012344)Time elapsed: 0.111 s
% 6.17/1.84 % (3012344)Peak memory usage: 91 MB
% 6.17/1.84 % (3012344)Instructions burned: 160 (million)
% 6.17/1.84 % (3012344)------------------------------
% 6.17/1.84 % (3012344)------------------------------
% 6.17/1.84 % (3012322)Success in time 0.798 s
% 6.17/1.84 % Vampire exiting
%------------------------------------------------------------------------------