%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG118+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 : n002.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 12:35:35 PM UTC 2026
% Result : Theorem 3.18s 1.31s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 9
% Syntax : Number of formulae : 75 ( 15 unt; 0 def)
% Number of atoms : 241 ( 76 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 297 ( 131 ~; 124 |; 36 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 74 ( 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1)
& X1 != sz00 )
=> ? [X2,X3] :
( aElement0(X2)
& aElement0(X3)
& X0 = sdtpldt0(sdtasdt0(X2,X1),X3)
& ( X3 != sz00
=> iLess0(sbrdtbr0(X3),sbrdtbr0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivision) ).
fof(f39,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f45,axiom,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ( aElementOf0(X0,xI)
& X0 != sz00 )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f47,axiom,
? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2416) ).
fof(f50,conjecture,
? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xb = sdtpldt0(sdtasdt0(X0,xu),X1)
& ( X1 = sz00
| iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f51,negated_conjecture,
~ ? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xb = sdtpldt0(sdtasdt0(X0,xu),X1)
& ( X1 = sz00
| iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f56,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f57,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ) ),
inference(flattening,[],[f56]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ( sz00 != X1
& ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X2,X3] :
( aElement0(X2)
& aElement0(X3)
& X0 = sdtpldt0(sdtasdt0(X2,X1),X3)
& ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 ) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = X1 ),
inference(ennf_transformation,[],[f32]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2,X3] :
( aElement0(X2)
& aElement0(X3)
& X0 = sdtpldt0(sdtasdt0(X2,X1),X3)
& ( iLess0(sbrdtbr0(X3),sbrdtbr0(X1))
| sz00 = X3 ) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = X1 ),
inference(flattening,[],[f72]) ).
fof(f82,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f83,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f82]) ).
fof(f86,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f87,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f89,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f88]) ).
fof(f99,plain,
( aElement0(sK3)
& aElement0(sK4)
& xu = sdtpldt0(sdtasdt0(xa,sK3),sdtasdt0(xb,sK4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f47]) ).
fof(f118,plain,
! [X0,X1] :
( ( aElement0(sK17(X0,X1))
& aElement0(sK18(X0,X1))
& sdtpldt0(sdtasdt0(sK17(X0,X1),X1),sK18(X0,X1)) = X0
& ( iLess0(sbrdtbr0(sK18(X0,X1)),sbrdtbr0(X1))
| sz00 = sK18(X0,X1) ) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X2,sK17(X0,X1)),skolemize(X3,sK18(X0,X1))],[f73]) ).
fof(f125,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f126,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f138,plain,
sz00 != xu,
inference(cnf_transformation,[],[f57]) ).
fof(f141,plain,
xu = sdtpldt0(sdtasdt0(xa,sK3),sdtasdt0(xb,sK4)),
inference(cnf_transformation,[],[f99]) ).
fof(f142,plain,
aElement0(sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f143,plain,
aElement0(sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f146,plain,
! [X0,X1] :
( xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f147,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xb != sdtpldt0(sdtasdt0(X0,xu),X1)
| sz00 != X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f151,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
! [X0,X1] :
( iLess0(sbrdtbr0(sK18(X0,X1)),sbrdtbr0(X1))
| sz00 = sK18(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f188,plain,
! [X0,X1] :
( sdtpldt0(sdtasdt0(sK17(X0,X1),X1),sK18(X0,X1)) = X0
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f189,plain,
! [X0,X1] :
( aElement0(sK18(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f190,plain,
! [X0,X1] :
( aElement0(sK17(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f200,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f202,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f203,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f212,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(X0,xu),sz00)
| ~ aElement0(sz00)
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f147]) ).
fof(f261,plain,
( ~ aElement0(sdtasdt0(xb,sK4))
| ~ aElement0(sdtasdt0(xa,sK3))
| aElement0(xu) ),
inference(superposition,[],[f200,f141]) ).
fof(f296,plain,
( ~ aElement0(sdtasdt0(xa,sK3))
| aElement0(xu)
| ~ aElement0(xb)
| ~ aElement0(sK4) ),
inference(resolution,[],[f261,f203]) ).
fof(f297,plain,
( ~ aElement0(sdtasdt0(xa,sK3))
| aElement0(xu)
| ~ aElement0(sK4) ),
inference(forward_subsumption_resolution,[],[f296,f125]) ).
fof(f298,plain,
( ~ aElement0(sdtasdt0(xa,sK3))
| aElement0(xu) ),
inference(forward_subsumption_resolution,[],[f297,f142]) ).
fof(f299,plain,
( aElement0(xu)
| ~ aElement0(xa)
| ~ aElement0(sK3) ),
inference(resolution,[],[f298,f203]) ).
fof(f300,plain,
( aElement0(xu)
| ~ aElement0(sK3) ),
inference(forward_subsumption_resolution,[],[f299,f126]) ).
fof(f301,plain,
aElement0(xu),
inference(forward_subsumption_resolution,[],[f300,f143]) ).
fof(f368,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(xu,X0),sz00)
| ~ aElement0(sz00)
| ~ aElement0(X0)
| ~ aElement0(xu)
| ~ aElement0(X0) ),
inference(superposition,[],[f212,f202]) ).
fof(f381,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(xu,X0),sz00)
| ~ aElement0(sz00)
| ~ aElement0(X0)
| ~ aElement0(xu) ),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f397,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(xu,X0),sz00)
| ~ aElement0(X0)
| ~ aElement0(xu) ),
inference(forward_subsumption_resolution,[],[f381,f151]) ).
fof(f407,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(xu,X0),sz00)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f397,f301]) ).
fof(f413,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(X0,xu),sz00)
| ~ aElement0(X0)
| ~ aElement0(xu)
| ~ aElement0(X0) ),
inference(superposition,[],[f407,f202]) ).
fof(f417,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(X0,xu),sz00)
| ~ aElement0(X0)
| ~ aElement0(xu) ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f421,plain,
! [X0] :
( xb != sdtpldt0(sdtasdt0(X0,xu),sz00)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f417,f301]) ).
fof(f844,plain,
! [X0] :
( xb != X0
| ~ aElement0(sK18(X0,xu))
| ~ aElement0(sK17(X0,xu))
| ~ iLess0(sbrdtbr0(sK18(X0,xu)),sbrdtbr0(xu))
| ~ aElement0(X0)
| ~ aElement0(xu)
| sz00 = xu ),
inference(superposition,[],[f146,f188]) ).
fof(f856,plain,
! [X0] :
( xb != X0
| ~ aElement0(sK17(X0,xu))
| ~ iLess0(sbrdtbr0(sK18(X0,xu)),sbrdtbr0(xu))
| ~ aElement0(X0)
| ~ aElement0(xu)
| sz00 = xu ),
inference(forward_subsumption_resolution,[],[f844,f189]) ).
fof(f861,plain,
! [X0] :
( xb != X0
| ~ iLess0(sbrdtbr0(sK18(X0,xu)),sbrdtbr0(xu))
| ~ aElement0(X0)
| ~ aElement0(xu)
| sz00 = xu ),
inference(forward_subsumption_resolution,[],[f856,f190]) ).
fof(f862,plain,
! [X0] :
( xb != X0
| ~ iLess0(sbrdtbr0(sK18(X0,xu)),sbrdtbr0(xu))
| ~ aElement0(X0)
| sz00 = xu ),
inference(forward_subsumption_resolution,[],[f861,f301]) ).
fof(f863,plain,
! [X0] :
( xb != X0
| ~ iLess0(sbrdtbr0(sK18(X0,xu)),sbrdtbr0(xu))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f862,f138]) ).
fof(f1020,plain,
( ~ iLess0(sbrdtbr0(sK18(xb,xu)),sbrdtbr0(xu))
| ~ aElement0(xb) ),
inference(equality_resolution,[],[f863]) ).
fof(f1021,plain,
~ iLess0(sbrdtbr0(sK18(xb,xu)),sbrdtbr0(xu)),
inference(forward_subsumption_resolution,[],[f1020,f125]) ).
fof(f1024,plain,
( sz00 = sK18(xb,xu)
| ~ aElement0(xb)
| ~ aElement0(xu)
| sz00 = xu ),
inference(resolution,[],[f1021,f187]) ).
fof(f1025,plain,
( sz00 = sK18(xb,xu)
| ~ aElement0(xu)
| sz00 = xu ),
inference(forward_subsumption_resolution,[],[f1024,f125]) ).
fof(f1026,plain,
( sz00 = sK18(xb,xu)
| sz00 = xu ),
inference(forward_subsumption_resolution,[],[f1025,f301]) ).
fof(f1027,plain,
sz00 = sK18(xb,xu),
inference(forward_subsumption_resolution,[],[f1026,f138]) ).
fof(f1031,plain,
( xb = sdtpldt0(sdtasdt0(sK17(xb,xu),xu),sz00)
| ~ aElement0(xb)
| ~ aElement0(xu)
| sz00 = xu ),
inference(superposition,[],[f188,f1027]) ).
fof(f1033,plain,
( xb = sdtpldt0(sdtasdt0(sK17(xb,xu),xu),sz00)
| ~ aElement0(xu)
| sz00 = xu ),
inference(forward_subsumption_resolution,[],[f1031,f125]) ).
fof(f1034,plain,
( xb = sdtpldt0(sdtasdt0(sK17(xb,xu),xu),sz00)
| sz00 = xu ),
inference(forward_subsumption_resolution,[],[f1033,f301]) ).
fof(f1035,plain,
xb = sdtpldt0(sdtasdt0(sK17(xb,xu),xu),sz00),
inference(forward_subsumption_resolution,[],[f1034,f138]) ).
fof(f1043,plain,
( xb != xb
| ~ aElement0(sK17(xb,xu)) ),
inference(superposition,[],[f421,f1035]) ).
fof(f1063,plain,
~ aElement0(sK17(xb,xu)),
inference(trivial_inequality_removal,[],[f1043]) ).
fof(f1130,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| sz00 = xu ),
inference(resolution,[],[f1063,f190]) ).
fof(f1131,plain,
( ~ aElement0(xu)
| sz00 = xu ),
inference(forward_subsumption_resolution,[],[f1130,f125]) ).
fof(f1132,plain,
sz00 = xu,
inference(forward_subsumption_resolution,[],[f1131,f301]) ).
fof(f1133,plain,
$false,
inference(forward_subsumption_resolution,[],[f1132,f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG118+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.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 23:23:37 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
% 3.18/1.31 % (4002703)Detected formulas, will run a generic FOF schedule.
% 3.18/1.31 % (4002709)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=133675666:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.18/1.31 % (4002708)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=3279902195:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.18/1.31 % (4002714)dis-21_1_sil=8000:lcm=predicate:random_seed=3288039451: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)
% 3.18/1.31 % (4002710)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=3379078490:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.18/1.31 % (4002711)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2501757721:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.18/1.31 % (4002712)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2133208617:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.18/1.31 % (4002713)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=95339886:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.18/1.31 % (4002712)First to succeed.
% 3.18/1.31 % (4002712)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4002703"
% 3.18/1.31 % (4002711)Also succeeded, but the first one will report.
% 3.18/1.31 % (4002714)Instruction limit reached!
% 3.18/1.31 % (4002714)------------------------------
% 3.18/1.31 % (4002714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.31 % (4002714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.31 % (4002714)CaDiCaL version: 2.1.3
% 3.18/1.31 % (4002714)Termination reason: Instruction limit
% 3.18/1.31 % (4002714)Termination phase: Saturation
% 3.18/1.31 % (4002714)Time elapsed: 0.071 s
% 3.18/1.31 % (4002714)Peak memory usage: 89 MB
% 3.18/1.31 % (4002714)Instructions burned: 131 (million)
% 3.18/1.31 % (4002713)Instruction limit reached!
% 3.18/1.31 % (4002713)------------------------------
% 3.18/1.31 % (4002713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.31 % (4002713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.31 % (4002713)CaDiCaL version: 2.1.3
% 3.18/1.31 % (4002713)Termination reason: Instruction limit
% 3.18/1.31 % (4002713)Termination phase: Saturation
% 3.18/1.31 % (4002713)Time elapsed: 0.092 s
% 3.18/1.31 % (4002713)Peak memory usage: 90 MB
% 3.18/1.31 % (4002713)Instructions burned: 140 (million)
% 3.18/1.31 % (4002722)lrs+10_1_sil=8000:sp=occurrence:random_seed=3360560204:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.18/1.31 % (4002723)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2847641047:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.18/1.31 % (4002712)Refutation found. Thanks to Tanya!
% 3.18/1.31 % SZS status Theorem for theBenchmark
% 3.18/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.51 % (4002712)------------------------------
% 0.15/1.51 % (4002712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (4002712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (4002712)CaDiCaL version: 2.1.3
% 0.15/1.51 % (4002712)Termination reason: Refutation
% 0.15/1.51 % (4002712)Time elapsed: 0.022 s
% 0.15/1.51 % (4002712)Peak memory usage: 88 MB
% 0.15/1.51 % (4002712)Instructions burned: 32 (million)
% 0.15/1.51 % (4002712)------------------------------
% 0.15/1.51 % (4002712)------------------------------
% 0.15/1.51 % (4002703)Success in time 0.454 s
% 0.15/1.51 % Vampire exiting
%------------------------------------------------------------------------------