%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL896+1 : TPTP v9.3.1. Released v5.5.0.
% 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 11:56:57 AM UTC 2026
% Result : Theorem 8.94s 2.18s
% Output : Refutation 8.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 45 unt; 0 def)
% Number of atoms : 82 ( 45 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 18 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 114 ( 112 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f6,axiom,
! [X0,X1] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f12,axiom,
! [X0,X1,X2] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),X2)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(f13,conjecture,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(flattening,[],[f17]) ).
fof(f22,plain,
? [X0,X1] : '+'(X0,'==>'(X0,X1)) != '+'(X1,'==>'(X1,X0)),
inference(ennf_transformation,[],[f14]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f24,plain,
'+'(sK0,'==>'(sK0,sK1)) != '+'(sK1,'==>'(sK1,sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f22]) ).
fof(f25,plain,
! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ '>='(X1,'==>'(X0,X2))
| '>='('+'(X0,X1),X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f33,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X2,X0,X1] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),X2)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
'+'(sK0,'==>'(sK0,sK1)) != '+'(sK1,'==>'(sK1,sK0)),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f26,f27]) ).
fof(f49,plain,
! [X0,X1] :
( '>='('0','==>'(X0,X1))
| ~ '>='(X0,X1) ),
inference(superposition,[],[f31,f27]) ).
fof(f59,plain,
! [X2,X0,X1] : '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))) = '+'(X0,'+'('==>'(X0,X1),'==>'('+'(X0,'==>'(X0,X1)),X2))),
inference(superposition,[],[f37,f25]) ).
fof(f87,plain,
! [X0,X1] : '>='(X0,'==>'(X1,'+'(X1,X0))),
inference(resolution,[],[f28,f31]) ).
fof(f88,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(resolution,[],[f28,f32]) ).
fof(f96,plain,
! [X0,X1] :
( ~ '>='(X0,'+'(X1,'==>'(X1,X0)))
| '+'(X1,'==>'(X1,X0)) = X0 ),
inference(resolution,[],[f88,f30]) ).
fof(f126,plain,
! [X0] : '>='('0','==>'(X0,X0)),
inference(superposition,[],[f87,f27]) ).
fof(f191,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| ~ '>='('==>'(X0,X1),'0')
| '0' = '==>'(X0,X1) ),
inference(resolution,[],[f49,f30]) ).
fof(f196,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| '0' = '==>'(X0,X1) ),
inference(forward_subsumption_resolution,[],[f191,f33]) ).
fof(f396,plain,
! [X0] :
( ~ '>='('==>'(X0,X0),'0')
| '0' = '==>'(X0,X0) ),
inference(resolution,[],[f126,f30]) ).
fof(f401,plain,
! [X0] : '0' = '==>'(X0,X0),
inference(forward_subsumption_resolution,[],[f396,f33]) ).
fof(f406,plain,
! [X0,X1] :
( ~ '>='(X0,'0')
| '>='('+'(X1,X0),X1) ),
inference(superposition,[],[f32,f401]) ).
fof(f409,plain,
! [X0,X1] : '+'(X0,'+'('0','==>'('+'(X0,'0'),X1))) = '+'(X0,'==>'(X0,'+'(X0,'==>'(X0,X1)))),
inference(superposition,[],[f59,f401]) ).
fof(f424,plain,
! [X0,X1] : '+'(X0,'+'('==>'(X0,X1),'0')) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,'+'(X0,'==>'(X0,X1)))))),
inference(superposition,[],[f59,f401]) ).
fof(f433,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,'+'(X0,'==>'(X0,X1)))))),
inference(forward_demodulation,[],[f424,f27]) ).
fof(f438,plain,
! [X0,X1] : '+'(X0,'==>'('+'(X0,'0'),X1)) = '+'(X0,'==>'(X0,'+'(X0,'==>'(X0,X1)))),
inference(forward_demodulation,[],[f409,f48]) ).
fof(f440,plain,
! [X0,X1] : '>='('+'(X1,X0),X1),
inference(forward_subsumption_resolution,[],[f406,f33]) ).
fof(f442,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X0,'==>'(X0,'+'(X0,'==>'(X0,X1)))),
inference(forward_demodulation,[],[f438,f27]) ).
fof(f507,plain,
! [X0,X1] :
( ~ '>='('+'(X1,'==>'(X1,'+'(X0,'==>'(X0,X1)))),'+'(X0,'==>'(X0,X1)))
| '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,'+'(X0,'==>'(X0,X1)))) ),
inference(superposition,[],[f96,f433]) ).
fof(f529,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,'+'(X0,'==>'(X0,X1)))),
inference(forward_subsumption_resolution,[],[f507,f88]) ).
fof(f882,plain,
! [X0,X1] : '0' = '==>'('+'(X0,X1),X0),
inference(resolution,[],[f196,f440]) ).
fof(f1183,plain,
! [X0,X1] : '+'(X0,'+'('==>'(X0,X1),'0')) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X0)))),
inference(superposition,[],[f59,f882]) ).
fof(f1237,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X0)))),
inference(forward_demodulation,[],[f1183,f27]) ).
fof(f1273,plain,
! [X0,X1] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),'+'(X0,'==>'(X0,X1)))) = '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),X0)),
inference(superposition,[],[f1237,f442]) ).
fof(f1283,plain,
! [X2,X0,X1] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),X2)) = '+'(X0,'==>'(X0,'+'('+'(X1,'==>'(X1,X0)),'==>'('+'(X1,'==>'(X1,X0)),X2)))),
inference(superposition,[],[f37,f1237]) ).
fof(f1319,plain,
! [X2,X0,X1] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),X2)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,'+'(X0,'==>'(X0,X2)))))),
inference(forward_demodulation,[],[f1283,f37]) ).
fof(f1328,plain,
! [X0,X1] : '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),'+'(X0,'==>'(X0,X1)))) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X0)))),
inference(forward_demodulation,[],[f1273,f37]) ).
fof(f1338,plain,
! [X2,X0,X1] : '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,'+'(X0,'==>'(X0,X2)))))),
inference(forward_demodulation,[],[f1319,f37]) ).
fof(f1346,plain,
! [X0,X1] : '+'(X1,'==>'(X1,X0)) = '+'('+'(X0,'==>'(X0,X1)),'==>'('+'(X0,'==>'(X0,X1)),'+'(X0,'==>'(X0,X1)))),
inference(forward_demodulation,[],[f1328,f529]) ).
fof(f1353,plain,
! [X0,X1] : '+'(X1,'==>'(X1,X0)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,'+'(X0,'==>'(X0,X1)))))),
inference(forward_demodulation,[],[f1346,f37]) ).
fof(f1356,plain,
! [X0,X1] : '+'(X1,'==>'(X1,X0)) = '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X1)))),
inference(forward_demodulation,[],[f1353,f1338]) ).
fof(f1358,plain,
! [X0,X1] : '+'(X1,'==>'(X1,X0)) = '+'(X0,'==>'(X0,'+'(X1,'0'))),
inference(forward_demodulation,[],[f1356,f401]) ).
fof(f1360,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(forward_demodulation,[],[f1358,f27]) ).
fof(f1439,plain,
'+'(sK0,'==>'(sK0,sK1)) != '+'(sK0,'==>'(sK0,sK1)),
inference(superposition,[],[f38,f1360]) ).
fof(f1440,plain,
$false,
inference(trivial_inequality_removal,[],[f1439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL896+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:07:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 7.55/2.05 % (2594758)Detected formulas, will run a generic FOF schedule.
% 7.55/2.05 % (2594767)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2269738663:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.55/2.05 % (2594767)Instruction limit reached!
% 7.55/2.05 % (2594767)------------------------------
% 7.55/2.05 % (2594767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594767)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594767)Termination reason: Instruction limit
% 7.55/2.05 % (2594767)Termination phase: Saturation
% 7.55/2.05 % (2594767)Time elapsed: 0.033 s
% 7.55/2.05 % (2594767)Peak memory usage: 88 MB
% 7.55/2.05 % (2594767)Instructions burned: 120 (million)
% 7.55/2.05 % (2594764)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=2353127176:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.55/2.05 % (2594766)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1730463368:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.55/2.05 % (2594763)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=1006148891:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.55/2.05 % (2594765)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=706627157:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.55/2.05 % (2594766)Refutation not found, incomplete strategy
% 7.55/2.05 % (2594766)------------------------------
% 7.55/2.05 % (2594766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594766)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594766)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.05 % (2594766)Time elapsed: 0.002 s
% 7.55/2.05 % (2594766)Peak memory usage: 88 MB
% 7.55/2.05 % (2594769)dis-21_1_sil=8000:lcm=predicate:random_seed=4199419251: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)
% 7.55/2.05 % (2594768)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1437241199:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.55/2.05 % (2594768)Instruction limit reached!
% 7.55/2.05 % (2594768)------------------------------
% 7.55/2.05 % (2594768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594768)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594768)Termination reason: Instruction limit
% 7.55/2.05 % (2594768)Termination phase: Saturation
% 7.55/2.05 % (2594768)Time elapsed: 0.081 s
% 7.55/2.05 % (2594768)Peak memory usage: 89 MB
% 7.55/2.05 % (2594768)Instructions burned: 141 (million)
% 7.55/2.05 % (2594769)Instruction limit reached!
% 7.55/2.05 % (2594769)------------------------------
% 7.55/2.05 % (2594769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594769)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594769)Termination reason: Instruction limit
% 7.55/2.05 % (2594769)Termination phase: Saturation
% 7.55/2.05 % (2594769)Time elapsed: 0.083 s
% 7.55/2.05 % (2594769)Peak memory usage: 89 MB
% 7.55/2.05 % (2594769)Instructions burned: 130 (million)
% 7.55/2.05 % (2594771)lrs+10_1_sil=8000:sp=occurrence:random_seed=40036099:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.55/2.05 % (2594771)Instruction limit reached!
% 7.55/2.05 % (2594771)------------------------------
% 7.55/2.05 % (2594771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594771)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594771)Termination reason: Instruction limit
% 7.55/2.05 % (2594771)Termination phase: Saturation
% 7.55/2.05 % (2594771)Time elapsed: 0.094 s
% 7.55/2.05 % (2594771)Peak memory usage: 91 MB
% 7.55/2.05 % (2594771)Instructions burned: 289 (million)
% 7.55/2.05 % (2594766)------------------------------
% 7.55/2.05 % (2594766)------------------------------
% 7.55/2.05 % (2594778)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3328040570:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.55/2.05 % (2594779)lrs+1011_1_sil=32000:sp=occurrence:random_seed=70919570:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.55/2.05 % (2594781)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=818358859:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.55/2.05 % (2594778)Instruction limit reached!
% 7.55/2.05 % (2594778)------------------------------
% 7.55/2.05 % (2594778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594778)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594778)Termination reason: Instruction limit
% 7.55/2.05 % (2594778)Termination phase: Saturation
% 7.55/2.05 % (2594778)Time elapsed: 0.087 s
% 7.55/2.05 % (2594778)Peak memory usage: 89 MB
% 7.55/2.05 % (2594778)Instructions burned: 157 (million)
% 7.55/2.05 % (2594781)Instruction limit reached!
% 7.55/2.05 % (2594781)------------------------------
% 7.55/2.05 % (2594781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594781)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594781)Termination reason: Instruction limit
% 7.55/2.05 % (2594781)Termination phase: Saturation
% 7.55/2.05 % (2594781)Time elapsed: 0.080 s
% 7.55/2.05 % (2594781)Peak memory usage: 91 MB
% 7.55/2.05 % (2594781)Instructions burned: 249 (million)
% 7.55/2.05 % (2594784)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=64911866:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.55/2.05 % (2594784)Refutation not found, incomplete strategy
% 7.55/2.05 % (2594784)------------------------------
% 7.55/2.05 % (2594784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594784)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594784)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.05 % (2594784)Time elapsed: 0.002 s
% 7.55/2.05 % (2594784)Peak memory usage: 88 MB
% 7.55/2.05 % (2594779)Instruction limit reached!
% 7.55/2.05 % (2594779)------------------------------
% 7.55/2.05 % (2594779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594779)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594779)Termination reason: Instruction limit
% 7.55/2.05 % (2594779)Termination phase: Saturation
% 7.55/2.05 % (2594779)Time elapsed: 0.164 s
% 7.55/2.05 % (2594779)Peak memory usage: 89 MB
% 7.55/2.05 % (2594779)Instructions burned: 326 (million)
% 7.55/2.05 % (2594786)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=315186387:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.55/2.05 % (2594787)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3971634088:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.55/2.05 % (2594787)Refutation not found, incomplete strategy
% 7.55/2.05 % (2594787)------------------------------
% 7.55/2.05 % (2594787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594787)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594787)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.05 % (2594787)Time elapsed: 0.001 s
% 7.55/2.05 % (2594787)Peak memory usage: 88 MB
% 7.55/2.05 % (2594789)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1324636731:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.55/2.05 % (2594789)Refutation not found, incomplete strategy
% 7.55/2.05 % (2594789)------------------------------
% 7.55/2.05 % (2594789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.05 % (2594789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.05 % (2594789)CaDiCaL version: 2.1.3
% 7.55/2.05 % (2594789)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.05 % (2594789)Time elapsed: 0.001 s
% 8.94/2.18 % (2594789)Peak memory usage: 87 MB
% 8.94/2.18 % (2594765)Refutation not found, incomplete strategy
% 8.94/2.18 % (2594765)------------------------------
% 8.94/2.18 % (2594765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.94/2.18 % (2594765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.94/2.18 % (2594765)CaDiCaL version: 2.1.3
% 8.94/2.18 % (2594765)Termination reason: Refutation not found, incomplete strategy
% 8.94/2.18 % (2594765)Time elapsed: 0.601 s
% 8.94/2.18 % (2594765)Peak memory usage: 126 MB
% 8.94/2.18 % (2594765)Instructions burned: 889 (million)
% 8.94/2.18 % (2594784)------------------------------
% 8.94/2.18 % (2594784)------------------------------
% 8.94/2.18 % (2594787)------------------------------
% 8.94/2.18 % (2594787)------------------------------
% 8.94/2.18 % (2594764)First to succeed.
% 8.94/2.18 % (2594764)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2594758"
% 8.94/2.18 % (2594794)lrs+10_1_sil=8000:sp=occurrence:random_seed=3112753719:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.94/2.18 % (2594793)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1512743264:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.94/2.18 % (2594793)Refutation not found, incomplete strategy
% 8.94/2.18 % (2594793)------------------------------
% 8.94/2.18 % (2594793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.94/2.18 % (2594793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.94/2.18 % (2594793)CaDiCaL version: 2.1.3
% 8.94/2.18 % (2594793)Termination reason: Refutation not found, incomplete strategy
% 8.94/2.18 % (2594793)Time elapsed: 0.001 s
% 8.94/2.18 % (2594793)Peak memory usage: 88 MB
% 8.94/2.18 % (2594789)------------------------------
% 8.94/2.18 % (2594789)------------------------------
% 8.94/2.18 % (2594765)------------------------------
% 8.94/2.18 % (2594765)------------------------------
% 8.94/2.18 % (2594763)Also succeeded, but the first one will report.
% 8.94/2.18 % (2594797)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=780656667:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.94/2.18 % (2594797)Refutation not found, incomplete strategy
% 8.94/2.18 % (2594797)------------------------------
% 8.94/2.18 % (2594797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.94/2.18 % (2594797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.94/2.18 % (2594797)CaDiCaL version: 2.1.3
% 8.94/2.18 % (2594797)Termination reason: Refutation not found, incomplete strategy
% 8.94/2.18 % (2594797)Time elapsed: 0.002 s
% 8.94/2.18 % (2594797)Peak memory usage: 88 MB
% 8.94/2.18 % (2594798)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=332013907:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.94/2.18 % (2594764)Refutation found. Thanks to Tanya!
% 8.94/2.18 % SZS status Theorem for theBenchmark
% 8.94/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 8.94/2.18 % (2594764)------------------------------
% 8.94/2.18 % (2594764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.94/2.18 % (2594764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.94/2.18 % (2594764)CaDiCaL version: 2.1.3
% 8.94/2.18 % (2594764)Termination reason: Refutation
% 8.94/2.18 % (2594764)Time elapsed: 0.755 s
% 8.94/2.18 % (2594764)Peak memory usage: 129 MB
% 8.94/2.18 % (2594764)Instructions burned: 1127 (million)
% 8.94/2.18 % (2594764)------------------------------
% 8.94/2.18 % (2594764)------------------------------
% 8.94/2.18 % (2594758)Success in time 1.188 s
% 8.94/2.18 % Vampire exiting
%------------------------------------------------------------------------------