%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG057+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:35:19 PM UTC 2026
% Result : Theorem 5.54s 1.91s
% Output : Refutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 84 ( 28 unt; 6 def)
% Number of atoms : 226 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 269 ( 127 ~; 122 |; 10 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2027) ).
fof(f58,axiom,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2052) ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f66,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(flattening,[],[f60]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f75]) ).
fof(f89,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f96]) ).
fof(f102,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f135,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f155,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f97]) ).
fof(f163,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f191,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f193,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f195,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f201,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f210,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f211,plain,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(cnf_transformation,[],[f57]) ).
fof(f212,plain,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f58]) ).
fof(f213,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f66]) ).
fof(f217,definition,
sF2 = sdtasdt0(xP,xP),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f218,plain,
sdtasdt0(xP,xP) = sF2,
inference(reorient_equations,[],[f217]) ).
fof(f219,plain,
~ sdtlseqdt0(sF2,xN),
inference(definition_folding,[],[f213,f218]) ).
fof(f274,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[],[f159,f212]) ).
fof(f286,definition,
( spl3_5
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f288,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl3_5 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f290,definition,
( spl3_6
<=> aScalar0(sdtasdt0(xH,xH)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f291,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f292,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| spl3_6 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f294,definition,
( spl3_7
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH)) ) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f295,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH)) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( ~ spl3_5
| ~ spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f274,f294,f290,f286]) ).
fof(f312,definition,
( spl3_10
<=> aScalar0(sdtasdt0(xE,xE)) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f313,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| spl3_10 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f330,definition,
( spl3_14
<=> sdtlseqdt0(sz0z00,sdtasdt0(xE,xE)) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f331,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| spl3_14 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f353,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| spl3_6 ),
inference(resolution,[],[f292,f135]) ).
fof(f354,plain,
( ~ aScalar0(xH)
| spl3_6 ),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f355,plain,
( $false
| spl3_6 ),
inference(forward_subsumption_resolution,[],[f354,f201]) ).
fof(f356,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f357,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| spl3_10 ),
inference(resolution,[],[f314,f135]) ).
fof(f358,plain,
( ~ aScalar0(xE)
| spl3_10 ),
inference(duplicate_literal_removal,[],[f357]) ).
fof(f359,plain,
( $false
| spl3_10 ),
inference(forward_subsumption_resolution,[],[f358,f195]) ).
fof(f360,plain,
spl3_10,
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f363,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| spl3_5 ),
inference(resolution,[],[f288,f135]) ).
fof(f364,plain,
( ~ aScalar0(xD)
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f363,f191]) ).
fof(f365,plain,
( $false
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f364,f193]) ).
fof(f366,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f370,plain,
( ! [X0] :
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0)
| sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH)) )
| ~ spl3_7 ),
inference(resolution,[],[f295,f210]) ).
fof(f403,plain,
( ~ aScalar0(xE)
| spl3_14 ),
inference(resolution,[],[f332,f163]) ).
fof(f404,plain,
( $false
| spl3_14 ),
inference(forward_subsumption_resolution,[],[f403,f195]) ).
fof(f405,plain,
spl3_14,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f406,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH)) )
| ~ spl3_7
| ~ spl3_10 ),
inference(forward_subsumption_resolution,[],[f370,f313]) ).
fof(f408,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH)) )
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f406,f331]) ).
fof(f424,plain,
( sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(superposition,[],[f408,f211]) ).
fof(f425,plain,
( sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f424,f291]) ).
fof(f426,plain,
( sdtlseqdt0(sF2,xN)
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f425,f218]) ).
fof(f427,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f426,f219]) ).
fof(f429,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(resolution,[],[f427,f155]) ).
fof(f431,plain,
( $false
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f429,f291]) ).
fof(f432,plain,
( ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f431]) ).
cnf(s4,plain,
( ~ spl3_5
| ~ spl3_6
| spl3_7 ),
inference(sat_conversion,[],[f296]) ).
cnf(s11,plain,
spl3_6,
inference(sat_conversion,[],[f356]) ).
cnf(s12,plain,
spl3_10,
inference(sat_conversion,[],[f360]) ).
cnf(s13,plain,
spl3_5,
inference(sat_conversion,[],[f366]) ).
cnf(s15,plain,
spl3_14,
inference(sat_conversion,[],[f405]) ).
cnf(s16,plain,
( ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14 ),
inference(sat_conversion,[],[f432]) ).
cnf(s17,plain,
~ spl3_7,
inference(rat,[],[s16,s15,s12,s11]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s4,s17,s11,s13]) ).
fof(f433,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG057+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.04/0.37 % WCLimit : 300
% 0.04/0.37 % DateTime : Sun Sep 27 23:06:31 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.41 Running first-order theorem proving
% 0.04/0.41 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
% 5.54/1.91 % (2117846)Detected formulas, will run a generic FOF schedule.
% 5.54/1.91 % (2117853)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=589007597:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.54/1.91 % (2117856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3793101305:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.54/1.91 % (2117855)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1665366867:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.54/1.91 % (2117852)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=3400831375:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.54/1.91 % (2117851)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=2747787893:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.54/1.91 % (2117854)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=928086279:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.54/1.91 % (2117857)dis-21_1_sil=8000:lcm=predicate:random_seed=37268341: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)
% 5.54/1.91 % (2117854)Instruction limit reached!
% 5.54/1.91 % (2117854)------------------------------
% 5.54/1.91 % (2117854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117854)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117854)Termination reason: Instruction limit
% 5.54/1.91 % (2117854)Termination phase: Saturation
% 5.54/1.91 % (2117854)Time elapsed: 0.065 s
% 5.54/1.91 % (2117854)Peak memory usage: 89 MB
% 5.54/1.91 % (2117854)Instructions burned: 109 (million)
% 5.54/1.91 % (2117855)Instruction limit reached!
% 5.54/1.91 % (2117855)------------------------------
% 5.54/1.91 % (2117855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117855)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117855)Termination reason: Instruction limit
% 5.54/1.91 % (2117855)Termination phase: Saturation
% 5.54/1.91 % (2117855)Time elapsed: 0.065 s
% 5.54/1.91 % (2117855)Peak memory usage: 88 MB
% 5.54/1.91 % (2117855)Instructions burned: 121 (million)
% 5.54/1.91 % (2117857)Instruction limit reached!
% 5.54/1.91 % (2117857)------------------------------
% 5.54/1.91 % (2117857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117857)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117857)Termination reason: Instruction limit
% 5.54/1.91 % (2117857)Termination phase: Saturation
% 5.54/1.91 % (2117857)Time elapsed: 0.066 s
% 5.54/1.91 % (2117857)Peak memory usage: 89 MB
% 5.54/1.91 % (2117857)Instructions burned: 129 (million)
% 5.54/1.91 % (2117856)Instruction limit reached!
% 5.54/1.91 % (2117856)------------------------------
% 5.54/1.91 % (2117856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117856)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117856)Termination reason: Instruction limit
% 5.54/1.91 % (2117856)Termination phase: Saturation
% 5.54/1.91 % (2117856)Time elapsed: 0.092 s
% 5.54/1.91 % (2117856)Peak memory usage: 90 MB
% 5.54/1.91 % (2117856)Instructions burned: 140 (million)
% 5.54/1.91 % (2117866)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3078750064:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.54/1.91 % (2117867)lrs+1011_1_sil=32000:sp=occurrence:random_seed=829329670:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.54/1.91 % (2117865)lrs+10_1_sil=8000:sp=occurrence:random_seed=1363854932:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.54/1.91 % (2117868)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=579524603:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.54/1.91 % (2117866)Instruction limit reached!
% 5.54/1.91 % (2117866)------------------------------
% 5.54/1.91 % (2117866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117866)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117866)Termination reason: Instruction limit
% 5.54/1.91 % (2117866)Termination phase: Saturation
% 5.54/1.91 % (2117866)Time elapsed: 0.073 s
% 5.54/1.91 % (2117866)Peak memory usage: 90 MB
% 5.54/1.91 % (2117866)Instructions burned: 158 (million)
% 5.54/1.91 % (2117868)Instruction limit reached!
% 5.54/1.91 % (2117868)------------------------------
% 5.54/1.91 % (2117868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117868)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117868)Termination reason: Instruction limit
% 5.54/1.91 % (2117868)Termination phase: Saturation
% 5.54/1.91 % (2117868)Time elapsed: 0.124 s
% 5.54/1.91 % (2117868)Peak memory usage: 96 MB
% 5.54/1.91 % (2117868)Instructions burned: 249 (million)
% 5.54/1.91 % (2117865)Instruction limit reached!
% 5.54/1.91 % (2117865)------------------------------
% 5.54/1.91 % (2117865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117865)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117865)Termination reason: Instruction limit
% 5.54/1.91 % (2117865)Termination phase: Saturation
% 5.54/1.91 % (2117865)Time elapsed: 0.170 s
% 5.54/1.91 % (2117865)Peak memory usage: 93 MB
% 5.54/1.91 % (2117865)Instructions burned: 286 (million)
% 5.54/1.91 % (2117867)Instruction limit reached!
% 5.54/1.91 % (2117867)------------------------------
% 5.54/1.91 % (2117867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117867)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117867)Termination reason: Instruction limit
% 5.54/1.91 % (2117867)Termination phase: Saturation
% 5.54/1.91 % (2117867)Time elapsed: 0.194 s
% 5.54/1.91 % (2117867)Peak memory usage: 94 MB
% 5.54/1.91 % (2117867)Instructions burned: 326 (million)
% 5.54/1.91 % (2117874)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2026151498:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.54/1.91 % (2117875)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2519784271:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.54/1.91 % (2117876)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1994754815:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.54/1.91 % (2117877)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3244228229:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.54/1.91 % (2117874)Instruction limit reached!
% 5.54/1.91 % (2117874)------------------------------
% 5.54/1.91 % (2117874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117874)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117874)Termination reason: Instruction limit
% 5.54/1.91 % (2117874)Termination phase: Saturation
% 5.54/1.91 % (2117874)Time elapsed: 0.167 s
% 5.54/1.91 % (2117874)Peak memory usage: 90 MB
% 5.54/1.91 % (2117874)Instructions burned: 295 (million)
% 5.54/1.91 % (2117876)Instruction limit reached!
% 5.54/1.91 % (2117876)------------------------------
% 5.54/1.91 % (2117876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117876)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117876)Termination reason: Instruction limit
% 5.54/1.91 % (2117876)Termination phase: Saturation
% 5.54/1.91 % (2117876)Time elapsed: 0.073 s
% 5.54/1.91 % (2117876)Peak memory usage: 91 MB
% 5.54/1.91 % (2117876)Instructions burned: 114 (million)
% 5.54/1.91 % (2117877)Instruction limit reached!
% 5.54/1.91 % (2117877)------------------------------
% 5.54/1.91 % (2117877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117877)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117877)Termination reason: Instruction limit
% 5.54/1.91 % (2117877)Termination phase: Saturation
% 5.54/1.91 % (2117877)Time elapsed: 0.066 s
% 5.54/1.91 % (2117877)Peak memory usage: 89 MB
% 5.54/1.91 % (2117877)Instructions burned: 129 (million)
% 5.54/1.91 % (2117851)First to succeed.
% 5.54/1.91 % (2117851)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2117846"
% 5.54/1.91 % (2117853)Also succeeded, but the first one will report.
% 5.54/1.91 % (2117882)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=996758103:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.54/1.91 % (2117883)lrs+10_1_sil=8000:sp=occurrence:random_seed=2362473823:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.54/1.91 % (2117884)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1893258429:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.54/1.91 % (2117882)Instruction limit reached!
% 5.54/1.91 % (2117882)------------------------------
% 5.54/1.91 % (2117882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.91 % (2117882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.91 % (2117882)CaDiCaL version: 2.1.3
% 5.54/1.91 % (2117882)Termination reason: Instruction limit
% 5.54/1.91 % (2117882)Termination phase: Saturation
% 5.54/1.91 % (2117882)Time elapsed: 0.068 s
% 5.54/1.91 % (2117882)Peak memory usage: 89 MB
% 5.54/1.91 % (2117882)Instructions burned: 114 (million)
% 5.54/1.91 % (2117852)Also succeeded, but the first one will report.
% 5.54/1.91 % (2117889)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1361177131:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 5.54/1.91 % (2117851)Refutation found. Thanks to Tanya!
% 5.54/1.91 % SZS status Theorem for theBenchmark
% 5.54/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 5.54/2.00 % (2117851)------------------------------
% 5.54/2.00 % (2117851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.00 % (2117851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.00 % (2117851)CaDiCaL version: 2.1.3
% 5.54/2.00 % (2117851)Termination reason: Refutation
% 5.54/2.00 % (2117851)Time elapsed: 0.637 s
% 5.54/2.00 % (2117851)Peak memory usage: 130 MB
% 5.54/2.00 % (2117851)Instructions burned: 963 (million)
% 5.54/2.00 % (2117851)------------------------------
% 5.54/2.00 % (2117851)------------------------------
% 5.54/2.00 % (2117846)Success in time 1.054 s
% 5.54/2.00 % Vampire exiting
%------------------------------------------------------------------------------