%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL898+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:56:58 AM UTC 2026
% Result : Theorem 20.71s 4.04s
% Output : Refutation 20.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 80 ( 60 unt; 0 def)
% Number of atoms : 107 ( 54 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 28 ~; 23 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 167 ( 165 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f6,axiom,
! [X0,X1] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f12,axiom,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f13,axiom,
! [X0] : '==>'('==>'(X0,'1'),'1') = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f14,axiom,
! [X0] : '+'(X0,'1') = '1',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(f15,conjecture,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f16,negated_conjecture,
~ ! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f20,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(flattening,[],[f19]) ).
fof(f24,plain,
? [X0,X1] : '==>'('==>'(X0,X1),X1) != '==>'('==>'(X1,X0),X0),
inference(ennf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f26,plain,
'==>'('==>'(sK0,sK1),sK1) != '==>'('==>'(sK1,sK0),sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f24]) ).
fof(f27,plain,
! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ '>='(X1,'==>'(X0,X2))
| '>='('+'(X0,X1),X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0] : '==>'('==>'(X0,'1'),'1') = X0,
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
! [X0] : '1' = '+'(X0,'1'),
inference(cnf_transformation,[],[f14]) ).
fof(f42,plain,
'==>'('==>'(sK0,sK1),sK1) != '==>'('==>'(sK1,sK0),sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f28,f29]) ).
fof(f53,plain,
! [X0,X1] :
( '>='('0','==>'(X0,X1))
| ~ '>='(X0,X1) ),
inference(superposition,[],[f33,f29]) ).
fof(f60,plain,
! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'('+'(X0,'==>'(X0,X1)),X2),
inference(superposition,[],[f27,f39]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ '>='('+'(X0,'+'(X1,X2)),X3)
| '>='(X2,'==>'('+'(X0,X1),X3)) ),
inference(superposition,[],[f33,f27]) ).
fof(f78,plain,
! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'(X0,'+'('==>'(X0,X1),X2)),
inference(forward_demodulation,[],[f60,f27]) ).
fof(f93,plain,
! [X0,X1] : '>='(X0,'==>'(X1,'+'(X1,X0))),
inference(resolution,[],[f30,f33]) ).
fof(f94,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(resolution,[],[f30,f34]) ).
fof(f98,plain,
! [X2,X0,X1] : '>='('+'(X0,'+'(X1,'==>'(X1,'==>'(X0,X2)))),X2),
inference(resolution,[],[f94,f34]) ).
fof(f103,plain,
! [X2,X0,X1] : '>='('+'(X0,'+'(X1,'==>'('+'(X0,X1),X2))),X2),
inference(superposition,[],[f94,f27]) ).
fof(f114,plain,
! [X0] : '>='('==>'('0',X0),X0),
inference(superposition,[],[f94,f52]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ '>='('+'(X0,'+'('==>'(X0,X1),X2)),X3)
| '>='('+'('==>'(X1,X0),X2),'==>'(X1,X3)) ),
inference(superposition,[],[f33,f78]) ).
fof(f182,plain,
! [X0,X1] :
( ~ '>='('==>'(X0,'+'(X0,X1)),X1)
| '==>'(X0,'+'(X0,X1)) = X1 ),
inference(resolution,[],[f93,f32]) ).
fof(f274,plain,
! [X0] :
( ~ '>='('==>'(X0,X0),'0')
| '0' = '==>'(X0,X0) ),
inference(superposition,[],[f182,f29]) ).
fof(f279,plain,
! [X0] :
( ~ '>='('==>'('0',X0),X0)
| '==>'('0',X0) = X0 ),
inference(superposition,[],[f182,f52]) ).
fof(f281,plain,
! [X0] : '==>'('0',X0) = X0,
inference(forward_subsumption_resolution,[],[f279,f114]) ).
fof(f283,plain,
! [X0] : '0' = '==>'(X0,X0),
inference(forward_subsumption_resolution,[],[f274,f35]) ).
fof(f319,plain,
! [X0,X1] :
( ~ '>='(X0,'0')
| '>='('+'(X1,X0),X1) ),
inference(superposition,[],[f34,f283]) ).
fof(f335,plain,
! [X0,X1] : '>='('+'(X1,X0),X1),
inference(forward_subsumption_resolution,[],[f319,f35]) ).
fof(f418,plain,
! [X2,X0,X1] : '>='('+'(X0,'==>'('+'(X1,X0),X2)),'==>'(X1,X2)),
inference(resolution,[],[f103,f33]) ).
fof(f457,plain,
! [X2,X0,X1] : '>='('==>'('+'(X0,X1),X2),'==>'(X1,'==>'(X0,X2))),
inference(resolution,[],[f418,f33]) ).
fof(f499,plain,
! [X2,X0,X1] : '>='('==>'('+'(X0,X1),X2),'==>'(X0,'==>'(X1,X2))),
inference(superposition,[],[f457,f28]) ).
fof(f712,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| ~ '>='('==>'(X0,X1),'0')
| '0' = '==>'(X0,X1) ),
inference(resolution,[],[f53,f32]) ).
fof(f718,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| '0' = '==>'(X0,X1) ),
inference(forward_subsumption_resolution,[],[f712,f35]) ).
fof(f907,plain,
! [X2,X0,X1] : '>='('+'('==>'(X0,X1),'==>'('==>'(X1,X0),'==>'(X1,X2))),'==>'(X0,X2)),
inference(resolution,[],[f98,f165]) ).
fof(f941,plain,
! [X2,X0,X1] : '>='('==>'('==>'(X0,X1),'==>'(X0,X2)),'==>'('==>'(X1,X0),'==>'(X1,X2))),
inference(resolution,[],[f907,f33]) ).
fof(f992,plain,
! [X2,X0,X1] :
( ~ '>='('==>'('==>'(X0,X1),'==>'(X0,X2)),'==>'('==>'(X1,X0),'==>'(X1,X2)))
| '==>'('==>'(X1,X0),'==>'(X1,X2)) = '==>'('==>'(X0,X1),'==>'(X0,X2)) ),
inference(resolution,[],[f941,f32]) ).
fof(f1025,plain,
! [X2,X0,X1] : '==>'('==>'(X1,X0),'==>'(X1,X2)) = '==>'('==>'(X0,X1),'==>'(X0,X2)),
inference(forward_subsumption_resolution,[],[f992,f941]) ).
fof(f1411,plain,
! [X0,X1] : '0' = '==>'('+'(X0,X1),X0),
inference(resolution,[],[f718,f335]) ).
fof(f1580,plain,
! [X0] : '0' = '==>'('1',X0),
inference(superposition,[],[f1411,f41]) ).
fof(f3775,plain,
! [X2,X0,X1] : '>='('==>'(X0,'==>'(X1,X2)),'==>'('+'(X1,X0),X2)),
inference(resolution,[],[f73,f98]) ).
fof(f3848,plain,
! [X2,X0,X1] :
( ~ '>='('==>'('+'(X0,X1),X2),'==>'(X1,'==>'(X0,X2)))
| '==>'('+'(X0,X1),X2) = '==>'(X1,'==>'(X0,X2)) ),
inference(resolution,[],[f3775,f32]) ).
fof(f3932,plain,
! [X2,X0,X1] : '==>'('+'(X0,X1),X2) = '==>'(X1,'==>'(X0,X2)),
inference(forward_subsumption_resolution,[],[f3848,f457]) ).
fof(f4051,plain,
! [X2,X0,X1] : '>='('==>'(X0,'==>'(X1,X2)),'==>'(X1,'==>'(X0,X2))),
inference(superposition,[],[f499,f3932]) ).
fof(f4227,plain,
! [X2,X0,X1] :
( ~ '>='('==>'(X0,'==>'(X1,X2)),'==>'(X1,'==>'(X0,X2)))
| '==>'(X1,'==>'(X0,X2)) = '==>'(X0,'==>'(X1,X2)) ),
inference(resolution,[],[f4051,f32]) ).
fof(f4304,plain,
! [X2,X0,X1] : '==>'(X1,'==>'(X0,X2)) = '==>'(X0,'==>'(X1,X2)),
inference(forward_subsumption_resolution,[],[f4227,f4051]) ).
fof(f4357,plain,
! [X0,X1] : '==>'(X1,X0) = '==>'('==>'(X0,'1'),'==>'(X1,'1')),
inference(superposition,[],[f4304,f40]) ).
fof(f4485,plain,
! [X2,X0,X1] : '==>'('==>'(X1,X0),'==>'(X1,X2)) = '==>'(X0,'==>'('==>'(X0,X1),X2)),
inference(superposition,[],[f1025,f4304]) ).
fof(f4620,plain,
! [X2,X0,X1] : '==>'(X1,'==>'('==>'(X1,X0),X2)) = '==>'(X0,'==>'('==>'(X0,X1),X2)),
inference(forward_demodulation,[],[f4485,f4304]) ).
fof(f4782,plain,
! [X0,X1] : '==>'('==>'(X0,'1'),X1) = '==>'('==>'(X1,'1'),X0),
inference(superposition,[],[f4357,f40]) ).
fof(f5392,plain,
! [X2,X0,X1] : '==>'('==>'(X0,'==>'(X1,'1')),X2) = '==>'('==>'(X2,'1'),'+'(X1,X0)),
inference(superposition,[],[f4782,f3932]) ).
fof(f5777,plain,
! [X2,X0,X1] : '==>'('==>'(X1,X0),X2) = '==>'('==>'(X2,'1'),'+'('==>'(X0,'1'),X1)),
inference(superposition,[],[f5392,f40]) ).
fof(f5795,plain,
! [X2,X0,X1] : '==>'('==>'(X0,X1),X2) = '==>'('==>'(X2,'1'),'+'(X0,'==>'(X1,'1'))),
inference(superposition,[],[f5392,f4357]) ).
fof(f6378,plain,
! [X0,X1] : '==>'('==>'(X0,X1),'1') = '==>'('0','+'('==>'(X1,'1'),X0)),
inference(superposition,[],[f5777,f1580]) ).
fof(f6573,plain,
! [X0,X1] : '==>'('==>'(X0,X1),'1') = '+'('==>'(X1,'1'),X0),
inference(forward_demodulation,[],[f6378,f281]) ).
fof(f9910,plain,
! [X0,X1] : '==>'('==>'('==>'(X1,'1'),X0),X1) = '==>'(X0,'==>'('==>'(X0,'==>'(X1,'1')),'1')),
inference(superposition,[],[f4357,f4620]) ).
fof(f10025,plain,
! [X0,X1] : '==>'('==>'('==>'(X1,'1'),X0),X1) = '==>'(X0,'+'('==>'('==>'(X1,'1'),'1'),X0)),
inference(forward_demodulation,[],[f9910,f6573]) ).
fof(f10162,plain,
! [X0,X1] : '==>'('==>'('==>'(X1,'1'),X0),X1) = '==>'(X0,'+'(X1,X0)),
inference(forward_demodulation,[],[f10025,f40]) ).
fof(f10272,plain,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X0,'1'),'+'(X1,'==>'(X0,'1'))),
inference(superposition,[],[f10162,f4357]) ).
fof(f10729,plain,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
inference(forward_demodulation,[],[f10272,f5795]) ).
fof(f11380,plain,
'==>'('==>'(sK0,sK1),sK1) != '==>'('==>'(sK0,sK1),sK1),
inference(superposition,[],[f42,f10729]) ).
fof(f11381,plain,
$false,
inference(trivial_inequality_removal,[],[f11380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL898+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n007.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 17:03:25 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 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
% 18.36/3.61 % (1656573)Detected formulas, will run a generic FOF schedule.
% 18.36/3.61 % (1656581)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1899703043:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.36/3.61 % (1656581)Refutation not found, incomplete strategy
% 18.36/3.61 % (1656581)------------------------------
% 18.36/3.61 % (1656581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.61 % (1656581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.61 % (1656581)CaDiCaL version: 2.1.3
% 18.36/3.61 % (1656581)Termination reason: Refutation not found, incomplete strategy
% 18.36/3.61 % (1656581)Time elapsed: 0.001 s
% 18.36/3.61 % (1656581)Peak memory usage: 88 MB
% 18.36/3.61 % (1656582)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1304511622:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.36/3.61 % (1656584)dis-21_1_sil=8000:lcm=predicate:random_seed=2526129023: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)
% 18.36/3.61 % (1656579)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=1323111928:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.36/3.61 % (1656583)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2966279543:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.36/3.61 % (1656578)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=700315187:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.36/3.61 % (1656580)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=1384410458:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.36/3.61 % (1656582)Instruction limit reached!
% 18.36/3.61 % (1656582)------------------------------
% 18.36/3.61 % (1656582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.61 % (1656582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.61 % (1656582)CaDiCaL version: 2.1.3
% 18.36/3.61 % (1656582)Termination reason: Instruction limit
% 18.36/3.61 % (1656582)Termination phase: Saturation
% 18.36/3.61 % (1656582)Time elapsed: 0.103 s
% 18.36/3.61 % (1656582)Peak memory usage: 88 MB
% 18.36/3.61 % (1656582)Instructions burned: 119 (million)
% 18.36/3.61 % (1656584)Instruction limit reached!
% 18.36/3.61 % (1656584)------------------------------
% 18.36/3.61 % (1656584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.61 % (1656584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.61 % (1656584)CaDiCaL version: 2.1.3
% 18.36/3.61 % (1656584)Termination reason: Instruction limit
% 18.36/3.61 % (1656584)Termination phase: Saturation
% 18.36/3.61 % (1656584)Time elapsed: 0.128 s
% 18.36/3.61 % (1656584)Peak memory usage: 89 MB
% 18.36/3.61 % (1656584)Instructions burned: 129 (million)
% 18.36/3.61 % (1656583)Instruction limit reached!
% 18.36/3.61 % (1656583)------------------------------
% 18.36/3.61 % (1656583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.61 % (1656583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.61 % (1656583)CaDiCaL version: 2.1.3
% 18.36/3.61 % (1656583)Termination reason: Instruction limit
% 18.36/3.61 % (1656583)Termination phase: Saturation
% 18.36/3.61 % (1656583)Time elapsed: 0.136 s
% 18.36/3.61 % (1656583)Peak memory usage: 89 MB
% 18.36/3.61 % (1656583)Instructions burned: 141 (million)
% 18.36/3.61 % (1656581)------------------------------
% 18.36/3.61 % (1656581)------------------------------
% 18.36/3.61 % (1656592)lrs+10_1_sil=8000:sp=occurrence:random_seed=50865260:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 18.36/3.61 % (1656595)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=2848210698:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.36/3.61 % (1656593)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3897125563:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 18.36/3.61 % (1656594)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1026095408:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.59/3.81 % (1656595)Instruction limit reached!
% 16.59/3.81 % (1656595)------------------------------
% 16.59/3.81 % (1656595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656595)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656595)Termination reason: Instruction limit
% 16.59/3.81 % (1656595)Termination phase: Saturation
% 16.59/3.81 % (1656595)Time elapsed: 0.128 s
% 16.59/3.81 % (1656595)Peak memory usage: 91 MB
% 16.59/3.81 % (1656595)Instructions burned: 250 (million)
% 16.59/3.81 % (1656593)Instruction limit reached!
% 16.59/3.81 % (1656593)------------------------------
% 16.59/3.81 % (1656593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656593)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656593)Termination reason: Instruction limit
% 16.59/3.81 % (1656593)Termination phase: Saturation
% 16.59/3.81 % (1656593)Time elapsed: 0.145 s
% 16.59/3.81 % (1656593)Peak memory usage: 89 MB
% 16.59/3.81 % (1656593)Instructions burned: 158 (million)
% 16.59/3.81 % (1656592)Instruction limit reached!
% 16.59/3.81 % (1656592)------------------------------
% 16.59/3.81 % (1656592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656592)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656592)Termination reason: Instruction limit
% 16.59/3.81 % (1656592)Termination phase: Saturation
% 16.59/3.81 % (1656592)Time elapsed: 0.289 s
% 16.59/3.81 % (1656592)Peak memory usage: 91 MB
% 16.59/3.81 % (1656592)Instructions burned: 285 (million)
% 16.59/3.81 % (1656594)Instruction limit reached!
% 16.59/3.81 % (1656594)------------------------------
% 16.59/3.81 % (1656594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656594)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656594)Termination reason: Instruction limit
% 16.59/3.81 % (1656594)Termination phase: Saturation
% 16.59/3.81 % (1656594)Time elapsed: 0.303 s
% 16.59/3.81 % (1656594)Peak memory usage: 90 MB
% 16.59/3.81 % (1656594)Instructions burned: 325 (million)
% 16.59/3.81 % (1656601)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3715752091:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 16.59/3.81 % (1656601)Refutation not found, incomplete strategy
% 16.59/3.81 % (1656601)------------------------------
% 16.59/3.81 % (1656601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656601)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656601)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.81 % (1656601)Time elapsed: 0.001 s
% 16.59/3.81 % (1656601)Peak memory usage: 88 MB
% 16.59/3.81 % (1656602)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1087954597:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 16.59/3.81 % (1656603)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4273564722:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 16.59/3.81 % (1656603)Refutation not found, incomplete strategy
% 16.59/3.81 % (1656603)------------------------------
% 16.59/3.81 % (1656603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656603)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656603)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.81 % (1656603)Time elapsed: 0.003 s
% 16.59/3.81 % (1656603)Peak memory usage: 89 MB
% 16.59/3.81 % (1656580)Refutation not found, incomplete strategy
% 16.59/3.81 % (1656580)------------------------------
% 16.59/3.81 % (1656580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656580)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656580)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.81 % (1656580)Time elapsed: 0.963 s
% 16.59/3.81 % (1656580)Peak memory usage: 128 MB
% 16.59/3.81 % (1656580)Instructions burned: 889 (million)
% 16.59/3.81 % (1656601)------------------------------
% 16.59/3.81 % (1656601)------------------------------
% 16.59/3.81 % (1656604)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3842158447:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 16.59/3.81 % (1656604)Refutation not found, incomplete strategy
% 16.59/3.81 % (1656604)------------------------------
% 16.59/3.81 % (1656604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656604)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656604)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.81 % (1656604)Time elapsed: 0.002 s
% 16.59/3.81 % (1656604)Peak memory usage: 87 MB
% 16.59/3.81 % (1656608)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2034860273:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 16.59/3.81 % (1656608)Refutation not found, incomplete strategy
% 16.59/3.81 % (1656608)------------------------------
% 16.59/3.81 % (1656608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656608)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656608)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.81 % (1656608)Time elapsed: 0.001 s
% 16.59/3.81 % (1656608)Peak memory usage: 88 MB
% 16.59/3.81 % (1656603)------------------------------
% 16.59/3.81 % (1656603)------------------------------
% 16.59/3.81 % (1656580)------------------------------
% 16.59/3.81 % (1656580)------------------------------
% 16.59/3.81 % (1656604)------------------------------
% 16.59/3.81 % (1656604)------------------------------
% 16.59/3.81 % (1656608)------------------------------
% 16.59/3.81 % (1656608)------------------------------
% 16.59/3.81 % (1656611)lrs+10_1_sil=8000:sp=occurrence:random_seed=396154996:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 16.59/3.81 % (1656613)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3672897506:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 16.59/3.81 % (1656614)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3125554930:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 16.59/3.81 % (1656613)Refutation not found, incomplete strategy
% 16.59/3.81 % (1656613)------------------------------
% 16.59/3.81 % (1656613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656613)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656613)Termination reason: Refutation not found, incomplete strategy
% 16.59/3.81 % (1656613)Time elapsed: 0.002 s
% 16.59/3.81 % (1656613)Peak memory usage: 88 MB
% 16.59/3.81 % (1656616)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=97008261:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 16.59/3.81 % (1656616)Instruction limit reached!
% 16.59/3.81 % (1656616)------------------------------
% 16.59/3.81 % (1656616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656616)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656616)Termination reason: Instruction limit
% 16.59/3.81 % (1656616)Termination phase: Saturation
% 16.59/3.81 % (1656616)Time elapsed: 0.061 s
% 16.59/3.81 % (1656616)Peak memory usage: 89 MB
% 16.59/3.81 % (1656616)Instructions burned: 135 (million)
% 16.59/3.81 % (1656621)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4012045975:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 16.59/3.81 % (1656613)------------------------------
% 16.59/3.81 % (1656613)------------------------------
% 16.59/3.81 % (1656579)First to succeed.
% 16.59/3.81 % (1656579)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1656573"
% 16.59/3.81 % (1656621)Instruction limit reached!
% 16.59/3.81 % (1656621)------------------------------
% 16.59/3.81 % (1656621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.59/3.81 % (1656621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.59/3.81 % (1656621)CaDiCaL version: 2.1.3
% 16.59/3.81 % (1656621)Termination reason: Instruction limit
% 16.59/3.81 % (1656621)Termination phase: Saturation
% 16.59/3.81 % (1656621)Time elapsed: 0.344 s
% 16.59/3.81 % (1656621)Peak memory usage: 95 MB
% 16.59/3.81 % (1656621)Instructions burned: 594 (million)
% 20.71/4.04 % (1656623)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2377914882:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 20.71/4.04 % (1656611)Instruction limit reached!
% 20.71/4.04 % (1656611)------------------------------
% 20.71/4.04 % (1656611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.71/4.04 % (1656611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.71/4.04 % (1656611)CaDiCaL version: 2.1.3
% 20.71/4.04 % (1656611)Termination reason: Instruction limit
% 20.71/4.04 % (1656611)Termination phase: Saturation
% 20.71/4.04 % (1656611)Time elapsed: 0.900 s
% 20.71/4.04 % (1656611)Peak memory usage: 96 MB
% 20.71/4.04 % (1656611)Instructions burned: 908 (million)
% 20.71/4.04 % (1656579)Refutation found. Thanks to Tanya!
% 20.71/4.04 % SZS status Theorem for theBenchmark
% 20.71/4.04 % SZS output start Proof for theBenchmark
% See solution above
% 20.71/4.04 % (1656579)------------------------------
% 20.71/4.04 % (1656579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.71/4.04 % (1656579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.71/4.04 % (1656579)CaDiCaL version: 2.1.3
% 20.71/4.04 % (1656579)Termination reason: Refutation
% 20.71/4.04 % (1656579)Time elapsed: 2.121 s
% 20.71/4.04 % (1656579)Peak memory usage: 139 MB
% 20.71/4.04 % (1656579)Instructions burned: 2053 (million)
% 20.71/4.04 % (1656579)------------------------------
% 20.71/4.04 % (1656579)------------------------------
% 20.71/4.04 % (1656573)Success in time 2.837 s
% 20.71/4.04 % Vampire exiting
%------------------------------------------------------------------------------