%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM609+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:15:58 PM UTC 2026
% Result : Theorem 8.07s 1.82s
% Output : Refutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 17 unt; 0 def)
% Number of atoms : 241 ( 37 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 307 ( 118 ~; 117 |; 59 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 80 ( 74 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f96,axiom,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f100,axiom,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f104,axiom,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(f106,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
fof(f107,conjecture,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f108,negated_conjecture,
~ aSubsetOf0(xP,xQ),
inference(negated_conjecture,[status(cth)],[f107]) ).
fof(f116,plain,
~ aSubsetOf0(xP,xQ),
inference(flattening,[],[f108]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f133]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f244]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f245]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK1(X0,X1),X0)
& aElementOf0(sK1(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f246]) ).
fof(f252,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f134]) ).
fof(f253,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f252]) ).
fof(f254,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X0)
& X1 != X4 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f253]) ).
fof(f255,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElement0(sK3(X0,X1,X2))
| ~ aElementOf0(sK3(X0,X1,X2),X0)
| sK3(X0,X1,X2) = X1
| ~ aElementOf0(sK3(X0,X1,X2),X2) )
& ( ( aElement0(sK3(X0,X1,X2))
& aElementOf0(sK3(X0,X1,X2),X0)
& sK3(X0,X1,X2) != X1 )
| aElementOf0(sK3(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X0)
& X1 != X4 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f254]) ).
fof(f299,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f307,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f308,plain,
! [X0,X1] :
( aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f309,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(sK1(X0,X1),X0)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f324,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f487,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f494,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f497,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f498,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f104]) ).
fof(f499,plain,
aSet0(xP),
inference(cnf_transformation,[],[f104]) ).
fof(f501,plain,
aElementOf0(xp,xO),
inference(cnf_transformation,[],[f106]) ).
fof(f502,plain,
~ aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f116]) ).
fof(f515,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aElementOf0(X4,sdtmndt0(X0,X1))
| ~ aSet0(X0)
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f324]) ).
fof(f567,plain,
xP = sdtmndt0(xQ,xp),
inference(superposition,[],[f498,f497]) ).
fof(f583,plain,
! [X0] :
( ~ aSubsetOf0(X0,xO)
| aSet0(X0) ),
inference(resolution,[],[f487,f307]) ).
fof(f591,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElement0(X0) ),
inference(resolution,[],[f299,f487]) ).
fof(f645,plain,
aSet0(xQ),
inference(resolution,[],[f583,f494]) ).
fof(f651,plain,
! [X0] :
( ~ aElementOf0(sK1(xQ,X0),xQ)
| ~ aSet0(X0)
| aSubsetOf0(X0,xQ) ),
inference(resolution,[],[f645,f309]) ).
fof(f662,plain,
aElement0(xp),
inference(resolution,[],[f501,f591]) ).
fof(f666,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,xp))
| ~ aSet0(X1)
| aElementOf0(X0,X1) ),
inference(resolution,[],[f662,f515]) ).
fof(f672,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| ~ aSet0(xQ)
| aElementOf0(X0,xQ) ),
inference(superposition,[],[f666,f567]) ).
fof(f673,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(forward_subsumption_resolution,[],[f672,f645]) ).
fof(f675,plain,
! [X0] :
( aElementOf0(sK1(X0,xP),xQ)
| ~ aSet0(xP)
| aSubsetOf0(xP,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f673,f308]) ).
fof(f676,plain,
! [X0] :
( aElementOf0(sK1(X0,xP),xQ)
| aSubsetOf0(xP,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f675,f499]) ).
fof(f677,plain,
( aSubsetOf0(xP,xQ)
| ~ aSet0(xQ)
| ~ aSet0(xP)
| aSubsetOf0(xP,xQ) ),
inference(resolution,[],[f676,f651]) ).
fof(f678,plain,
( aSubsetOf0(xP,xQ)
| ~ aSet0(xQ)
| ~ aSet0(xP) ),
inference(duplicate_literal_removal,[],[f677]) ).
fof(f679,plain,
( ~ aSet0(xQ)
| ~ aSet0(xP) ),
inference(forward_subsumption_resolution,[],[f678,f502]) ).
fof(f680,plain,
~ aSet0(xP),
inference(forward_subsumption_resolution,[],[f679,f645]) ).
fof(f681,plain,
$false,
inference(forward_subsumption_resolution,[],[f680,f499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM609+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:47:09 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 5.57/1.72 % (2706319)Detected formulas, will run a generic FOF schedule.
% 5.57/1.72 % (2706329)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3000047982:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.57/1.72 % (2706324)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=1192707199:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.57/1.72 % (2706325)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=2066771850:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.57/1.72 % (2706330)dis-21_1_sil=8000:lcm=predicate:random_seed=1023899270: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)
% 5.57/1.72 % (2706327)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2859090741:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.57/1.72 % (2706326)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=3098013680:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.57/1.73 % (2706328)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2089241154:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.57/1.73 % (2706328)Instruction limit reached!
% 5.57/1.73 % (2706328)------------------------------
% 5.57/1.73 % (2706328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706328)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706328)Termination reason: Instruction limit
% 5.57/1.73 % (2706328)Termination phase: Saturation
% 5.57/1.73 % (2706328)Time elapsed: 0.056 s
% 5.57/1.73 % (2706328)Peak memory usage: 88 MB
% 5.57/1.73 % (2706328)Instructions burned: 122 (million)
% 5.57/1.73 % (2706327)Instruction limit reached!
% 5.57/1.73 % (2706327)------------------------------
% 5.57/1.73 % (2706327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706327)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706327)Termination reason: Instruction limit
% 5.57/1.73 % (2706327)Termination phase: Saturation
% 5.57/1.73 % (2706327)Time elapsed: 0.066 s
% 5.57/1.73 % (2706327)Peak memory usage: 90 MB
% 5.57/1.73 % (2706327)Instructions burned: 109 (million)
% 5.57/1.73 % (2706330)Instruction limit reached!
% 5.57/1.73 % (2706330)------------------------------
% 5.57/1.73 % (2706330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706330)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706330)Termination reason: Instruction limit
% 5.57/1.73 % (2706330)Termination phase: Saturation
% 5.57/1.73 % (2706330)Time elapsed: 0.072 s
% 5.57/1.73 % (2706330)Peak memory usage: 91 MB
% 5.57/1.73 % (2706330)Instructions burned: 129 (million)
% 5.57/1.73 % (2706329)Instruction limit reached!
% 5.57/1.73 % (2706329)------------------------------
% 5.57/1.73 % (2706329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706329)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706329)Termination reason: Instruction limit
% 5.57/1.73 % (2706329)Termination phase: Saturation
% 5.57/1.73 % (2706329)Time elapsed: 0.099 s
% 5.57/1.73 % (2706329)Peak memory usage: 90 MB
% 5.57/1.73 % (2706329)Instructions burned: 139 (million)
% 5.57/1.73 % (2706338)lrs+10_1_sil=8000:sp=occurrence:random_seed=4011102128:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.57/1.73 % (2706339)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1749641009:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.57/1.73 % (2706340)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3643707466:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.57/1.73 % (2706339)Refutation not found, incomplete strategy
% 5.57/1.73 % (2706339)------------------------------
% 5.57/1.73 % (2706339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706339)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706339)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.73 % (2706339)Time elapsed: 0.003 s
% 5.57/1.73 % (2706339)Peak memory usage: 89 MB
% 5.57/1.73 % (2706339)Instructions burned: 2 (million)
% 5.57/1.73 % (2706341)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=4058282649:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.57/1.73 % (2706341)Instruction limit reached!
% 5.57/1.73 % (2706341)------------------------------
% 5.57/1.73 % (2706341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706341)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706341)Termination reason: Instruction limit
% 5.57/1.73 % (2706341)Termination phase: Saturation
% 5.57/1.73 % (2706341)Time elapsed: 0.081 s
% 5.57/1.73 % (2706341)Peak memory usage: 92 MB
% 5.57/1.73 % (2706341)Instructions burned: 250 (million)
% 5.57/1.73 % (2706338)Instruction limit reached!
% 5.57/1.73 % (2706338)------------------------------
% 5.57/1.73 % (2706338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706338)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706338)Termination reason: Instruction limit
% 5.57/1.73 % (2706338)Termination phase: Saturation
% 5.57/1.73 % (2706338)Time elapsed: 0.186 s
% 5.57/1.73 % (2706338)Peak memory usage: 92 MB
% 5.57/1.73 % (2706338)Instructions burned: 286 (million)
% 5.57/1.73 % (2706340)Instruction limit reached!
% 5.57/1.73 % (2706340)------------------------------
% 5.57/1.73 % (2706340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706340)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706340)Termination reason: Instruction limit
% 5.57/1.73 % (2706340)Termination phase: Saturation
% 5.57/1.73 % (2706340)Time elapsed: 0.222 s
% 5.57/1.73 % (2706340)Peak memory usage: 92 MB
% 5.57/1.73 % (2706340)Instructions burned: 325 (million)
% 5.57/1.73 % (2706346)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3748246598:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.57/1.73 % (2706339)------------------------------
% 5.57/1.73 % (2706339)------------------------------
% 5.57/1.73 % (2706347)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1158334977:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.57/1.73 % (2706346)Instruction limit reached!
% 5.57/1.73 % (2706346)------------------------------
% 5.57/1.73 % (2706346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706346)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706346)Termination reason: Instruction limit
% 5.57/1.73 % (2706346)Termination phase: Saturation
% 5.57/1.73 % (2706346)Time elapsed: 0.103 s
% 5.57/1.73 % (2706346)Peak memory usage: 90 MB
% 5.57/1.73 % (2706346)Instructions burned: 297 (million)
% 5.57/1.73 % (2706348)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2268000299:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.57/1.73 % (2706350)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=604862683:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.57/1.73 % (2706352)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4112189759:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.57/1.73 % (2706348)Instruction limit reached!
% 5.57/1.73 % (2706348)------------------------------
% 5.57/1.73 % (2706348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.73 % (2706348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.73 % (2706348)CaDiCaL version: 2.1.3
% 5.57/1.73 % (2706348)Termination reason: Instruction limit
% 5.57/1.73 % (2706348)Termination phase: Saturation
% 5.57/1.73 % (2706348)Time elapsed: 0.076 s
% 5.57/1.73 % (2706348)Peak memory usage: 91 MB
% 5.57/1.73 % (2706348)Instructions burned: 114 (million)
% 5.57/1.73 % (2706325)First to succeed.
% 5.57/1.73 % (2706325)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2706319"
% 8.07/1.82 % (2706350)Instruction limit reached!
% 8.07/1.82 % (2706350)------------------------------
% 8.07/1.82 % (2706350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.82 % (2706350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.82 % (2706350)CaDiCaL version: 2.1.3
% 8.07/1.82 % (2706350)Termination reason: Instruction limit
% 8.07/1.82 % (2706350)Termination phase: Saturation
% 8.07/1.82 % (2706350)Time elapsed: 0.071 s
% 8.07/1.82 % (2706350)Peak memory usage: 89 MB
% 8.07/1.82 % (2706350)Instructions burned: 129 (million)
% 8.07/1.82 % (2706326)Also succeeded, but the first one will report.
% 8.07/1.82 % (2706324)Also succeeded, but the first one will report.
% 8.07/1.82 % (2706352)Instruction limit reached!
% 8.07/1.82 % (2706352)------------------------------
% 8.07/1.82 % (2706352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.82 % (2706352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.82 % (2706352)CaDiCaL version: 2.1.3
% 8.07/1.82 % (2706352)Termination reason: Instruction limit
% 8.07/1.82 % (2706352)Termination phase: Saturation
% 8.07/1.82 % (2706352)Time elapsed: 0.040 s
% 8.07/1.82 % (2706352)Peak memory usage: 89 MB
% 8.07/1.82 % (2706352)Instructions burned: 116 (million)
% 8.07/1.82 % (2706356)lrs+10_1_sil=8000:sp=occurrence:random_seed=2812699073:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.07/1.82 % (2706358)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2622105969:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.07/1.82 % (2706357)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2570671265:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.07/1.82 % (2706325)Refutation found. Thanks to Tanya!
% 8.07/1.82 % SZS status Theorem for theBenchmark
% 8.07/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 8.07/1.82 % (2706325)------------------------------
% 8.07/1.82 % (2706325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.82 % (2706325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.82 % (2706325)CaDiCaL version: 2.1.3
% 8.07/1.82 % (2706325)Termination reason: Refutation
% 8.07/1.82 % (2706325)Time elapsed: 0.675 s
% 8.07/1.82 % (2706325)Peak memory usage: 129 MB
% 8.07/1.82 % (2706325)Instructions burned: 1016 (million)
% 8.07/1.82 % (2706325)------------------------------
% 8.07/1.82 % (2706325)------------------------------
% 8.07/1.82 % (2706319)Success in time 1.112 s
% 8.07/1.82 % Vampire exiting
%------------------------------------------------------------------------------