%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL062+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 11:51:04 AM UTC 2026
% Result : Theorem 14.15s 2.96s
% Output : Refutation 15.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 5
% Syntax : Number of formulae : 84 ( 47 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 96 ( 49 ~; 45 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 242 ( 242 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(a,implies(not(b),c)),implies(a,implies(implies(e,c),implies(implies(b,e),c))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_60) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(not(b),c)),implies(a,implies(implies(e,c),implies(implies(b,e),c))))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(a,implies(not(b),c)),implies(a,implies(implies(e,c),implies(implies(b,e),c))))),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
~ is_a_theorem(implies(implies(a,implies(not(b),c)),implies(a,implies(implies(e,c),implies(implies(b,e),c))))),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f10,f11]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f15,f11]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f16,f10]) ).
fof(f19,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f12,f15]) ).
fof(f20,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f12,f10]) ).
fof(f21,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(resolution,[],[f18,f16]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(resolution,[],[f18,f11]) ).
fof(f24,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f13,f15]) ).
fof(f26,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f24,f18]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f24,f10]) ).
fof(f30,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(resolution,[],[f19,f15]) ).
fof(f32,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f30,f18]) ).
fof(f35,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X2),implies(implies(X1,X0),X2)))),
inference(resolution,[],[f32,f18]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(not(X0),X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f32,f10]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f21,f10]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f59,f10]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f63,f13]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(X0,X3)) ),
inference(resolution,[],[f22,f10]) ).
fof(f92,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f26,f28]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X3))
| is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f91,f10]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f108,f11]) ).
fof(f120,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f108,f12]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f112,f10]) ).
fof(f133,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X4,X3)))
| ~ is_a_theorem(implies(X4,implies(X2,X0))) ),
inference(resolution,[],[f129,f11]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X3,implies(X2,X4)),implies(X0,implies(X3,implies(X1,X4)))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f133,f18]) ).
fof(f327,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
| is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f133,f10]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,implies(not(X1),X1))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f327,f30]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X2,X4)))
| is_a_theorem(implies(X0,implies(X3,implies(X1,X4))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f319,f10]) ).
fof(f498,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f92,f336]) ).
fof(f514,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f498,f73]) ).
fof(f526,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f514,f336]) ).
fof(f534,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f526,f73]) ).
fof(f544,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f534,f37]) ).
fof(f554,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
inference(resolution,[],[f544,f18]) ).
fof(f578,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f554,f10]) ).
fof(f580,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f578,f20]) ).
fof(f606,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f580,f534]) ).
fof(f609,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f606,f120]) ).
fof(f619,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f609,f327]) ).
fof(f710,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f619,f498]) ).
fof(f782,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f710,f15]) ).
fof(f788,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f782,f18]) ).
fof(f800,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f782,f10]) ).
fof(f818,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f788,f10]) ).
fof(f848,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f818,f11]) ).
fof(f877,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f818,f498]) ).
fof(f905,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f848,f10]) ).
fof(f942,plain,
~ is_a_theorem(implies(implies(not(b),c),implies(implies(e,c),implies(implies(b,e),c)))),
inference(resolution,[],[f905,f14]) ).
fof(f952,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f905,f619]) ).
fof(f962,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f905,f10]) ).
fof(f967,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))
| is_a_theorem(implies(implies(X0,X2),implies(implies(X2,X1),X3))) ),
inference(resolution,[],[f952,f18]) ).
fof(f1271,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X3,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f877,f962]) ).
fof(f1709,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f1271,f609]) ).
fof(f1722,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f1271,f788]) ).
fof(f1731,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X1),X3),implies(X0,X3)))),
inference(resolution,[],[f1271,f11]) ).
fof(f1794,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,implies(X0,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f1722,f962]) ).
fof(f1803,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X1),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1709,f108]) ).
fof(f1963,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f1731,f10]) ).
fof(f2816,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X3),implies(X0,implies(X2,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1963,f18]) ).
fof(f3106,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(implies(X3,X4),implies(X0,implies(X3,X2)))) ),
inference(resolution,[],[f2816,f73]) ).
fof(f3114,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X2)))),
inference(resolution,[],[f3106,f12]) ).
fof(f3196,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X0))),
inference(resolution,[],[f3114,f619]) ).
fof(f3230,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,X2))),
inference(resolution,[],[f3196,f1794]) ).
fof(f3254,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f3230,f800]) ).
fof(f3331,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f3254,f818]) ).
fof(f3383,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f3331,f15]) ).
fof(f4267,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f3383,f1803]) ).
fof(f4292,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(resolution,[],[f4267,f967]) ).
fof(f4362,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),X1))),
inference(resolution,[],[f4292,f818]) ).
fof(f4370,plain,
$false,
inference(unit_resulting_resolution,[],[f408,f35,f942,f4362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL062+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:19:25 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 12.75/2.75 % (3086092)Detected formulas, will run a generic FOF schedule.
% 12.75/2.75 % (3086102)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3200288886:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.75/2.75 % (3086101)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1712871232:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.75/2.75 % (3086097)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=3461071502:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.75/2.75 % (3086103)dis-21_1_sil=8000:lcm=predicate:random_seed=1611953279: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)
% 12.75/2.75 % (3086100)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2254298896:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.75/2.75 % (3086099)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=3461231742:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.75/2.75 % (3086098)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=3995684214:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.75/2.75 % (3086100)Refutation not found, incomplete strategy
% 12.75/2.75 % (3086100)------------------------------
% 12.75/2.75 % (3086100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (3086100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (3086100)CaDiCaL version: 2.1.3
% 12.75/2.75 % (3086100)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.75 % (3086100)Time elapsed: 0.001 s
% 12.75/2.75 % (3086100)Peak memory usage: 87 MB
% 12.75/2.75 % (3086102)Instruction limit reached!
% 12.75/2.75 % (3086102)------------------------------
% 12.75/2.75 % (3086102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (3086102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (3086102)CaDiCaL version: 2.1.3
% 12.75/2.75 % (3086102)Termination reason: Instruction limit
% 12.75/2.75 % (3086102)Termination phase: Saturation
% 12.75/2.75 % (3086102)Time elapsed: 0.050 s
% 12.75/2.75 % (3086102)Peak memory usage: 89 MB
% 12.75/2.75 % (3086102)Instructions burned: 140 (million)
% 12.75/2.75 % (3086101)Instruction limit reached!
% 12.75/2.75 % (3086101)------------------------------
% 12.75/2.75 % (3086101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (3086101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (3086101)CaDiCaL version: 2.1.3
% 12.75/2.75 % (3086101)Termination reason: Instruction limit
% 12.75/2.75 % (3086101)Termination phase: Saturation
% 12.75/2.75 % (3086101)Time elapsed: 0.069 s
% 12.75/2.75 % (3086101)Peak memory usage: 87 MB
% 12.75/2.75 % (3086101)Instructions burned: 119 (million)
% 12.75/2.75 % (3086103)Instruction limit reached!
% 12.75/2.75 % (3086103)------------------------------
% 12.75/2.75 % (3086103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (3086103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.75 % (3086103)CaDiCaL version: 2.1.3
% 12.75/2.75 % (3086103)Termination reason: Instruction limit
% 12.75/2.75 % (3086103)Termination phase: Saturation
% 12.75/2.75 % (3086103)Time elapsed: 0.077 s
% 12.75/2.75 % (3086103)Peak memory usage: 88 MB
% 12.75/2.75 % (3086103)Instructions burned: 130 (million)
% 12.75/2.75 % (3086111)lrs+10_1_sil=8000:sp=occurrence:random_seed=512580978:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.75/2.75 % (3086113)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1748386509:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.75/2.75 % (3086112)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1429711143:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.75/2.75 % (3086111)Instruction limit reached!
% 12.75/2.75 % (3086111)------------------------------
% 12.75/2.75 % (3086111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.75 % (3086111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086111)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086111)Termination reason: Instruction limit
% 14.15/2.96 % (3086111)Termination phase: Saturation
% 14.15/2.96 % (3086111)Time elapsed: 0.096 s
% 14.15/2.96 % (3086111)Peak memory usage: 90 MB
% 14.15/2.96 % (3086111)Instructions burned: 286 (million)
% 14.15/2.96 % (3086100)------------------------------
% 14.15/2.96 % (3086100)------------------------------
% 14.15/2.96 % (3086112)Instruction limit reached!
% 14.15/2.96 % (3086112)------------------------------
% 14.15/2.96 % (3086112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086112)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086112)Termination reason: Instruction limit
% 14.15/2.96 % (3086112)Termination phase: Saturation
% 14.15/2.96 % (3086112)Time elapsed: 0.093 s
% 14.15/2.96 % (3086112)Peak memory usage: 89 MB
% 14.15/2.96 % (3086112)Instructions burned: 158 (million)
% 14.15/2.96 % (3086117)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=2984357770:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.15/2.96 % (3086118)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3583805097:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.15/2.96 % (3086118)Refutation not found, incomplete strategy
% 14.15/2.96 % (3086118)------------------------------
% 14.15/2.96 % (3086118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086118)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086118)Termination reason: Refutation not found, incomplete strategy
% 14.15/2.96 % (3086118)Time elapsed: 0.001 s
% 14.15/2.96 % (3086118)Peak memory usage: 87 MB
% 14.15/2.96 % (3086117)Instruction limit reached!
% 14.15/2.96 % (3086117)------------------------------
% 14.15/2.96 % (3086117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086117)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086117)Termination reason: Instruction limit
% 14.15/2.96 % (3086117)Termination phase: Saturation
% 14.15/2.96 % (3086117)Time elapsed: 0.075 s
% 14.15/2.96 % (3086117)Peak memory usage: 89 MB
% 14.15/2.96 % (3086117)Instructions burned: 249 (million)
% 14.15/2.96 % (3086113)Instruction limit reached!
% 14.15/2.96 % (3086113)------------------------------
% 14.15/2.96 % (3086113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086113)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086113)Termination reason: Instruction limit
% 14.15/2.96 % (3086113)Termination phase: Saturation
% 14.15/2.96 % (3086113)Time elapsed: 0.212 s
% 14.15/2.96 % (3086113)Peak memory usage: 92 MB
% 14.15/2.96 % (3086113)Instructions burned: 325 (million)
% 14.15/2.96 % (3086119)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3429182799:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 14.15/2.96 % (3086122)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3482649530:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 14.15/2.96 % (3086122)Instruction limit reached!
% 14.15/2.96 % (3086122)------------------------------
% 14.15/2.96 % (3086122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086122)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086122)Termination reason: Instruction limit
% 14.15/2.96 % (3086122)Termination phase: Saturation
% 14.15/2.96 % (3086122)Time elapsed: 0.036 s
% 14.15/2.96 % (3086122)Peak memory usage: 89 MB
% 14.15/2.96 % (3086122)Instructions burned: 113 (million)
% 14.15/2.96 % (3086123)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1310530610:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 14.15/2.96 % (3086118)------------------------------
% 14.15/2.96 % (3086118)------------------------------
% 14.15/2.96 % (3086123)Instruction limit reached!
% 14.15/2.96 % (3086123)------------------------------
% 14.15/2.96 % (3086123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086123)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086123)Termination reason: Instruction limit
% 14.15/2.96 % (3086123)Termination phase: Saturation
% 14.15/2.96 % (3086123)Time elapsed: 0.072 s
% 14.15/2.96 % (3086123)Peak memory usage: 88 MB
% 14.15/2.96 % (3086123)Instructions burned: 128 (million)
% 14.15/2.96 % (3086126)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1346339061:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 14.15/2.96 % (3086126)Instruction limit reached!
% 14.15/2.96 % (3086126)------------------------------
% 14.15/2.96 % (3086126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086126)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086126)Termination reason: Instruction limit
% 14.15/2.96 % (3086126)Termination phase: Saturation
% 14.15/2.96 % (3086126)Time elapsed: 0.043 s
% 14.15/2.96 % (3086126)Peak memory usage: 89 MB
% 14.15/2.96 % (3086126)Instructions burned: 116 (million)
% 14.15/2.96 % (3086128)lrs+10_1_sil=8000:sp=occurrence:random_seed=3772728319:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 14.15/2.96 % (3086129)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1249956994:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 14.15/2.96 % (3086129)Refutation not found, incomplete strategy
% 14.15/2.96 % (3086129)------------------------------
% 14.15/2.96 % (3086129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086129)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086129)Termination reason: Refutation not found, incomplete strategy
% 14.15/2.96 % (3086129)Time elapsed: 0.001 s
% 14.15/2.96 % (3086129)Peak memory usage: 87 MB
% 14.15/2.96 % (3086131)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=706600116:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 14.15/2.96 % (3086129)------------------------------
% 14.15/2.96 % (3086129)------------------------------
% 14.15/2.96 % (3086135)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3130583377:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 14.15/2.96 % (3086135)Instruction limit reached!
% 14.15/2.96 % (3086135)------------------------------
% 14.15/2.96 % (3086135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086135)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086135)Termination reason: Instruction limit
% 14.15/2.96 % (3086135)Termination phase: Saturation
% 14.15/2.96 % (3086135)Time elapsed: 0.075 s
% 14.15/2.96 % (3086135)Peak memory usage: 89 MB
% 14.15/2.96 % (3086135)Instructions burned: 135 (million)
% 14.15/2.96 % (3086128)Instruction limit reached!
% 14.15/2.96 % (3086128)------------------------------
% 14.15/2.96 % (3086128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086128)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086128)Termination reason: Instruction limit
% 14.15/2.96 % (3086128)Termination phase: Saturation
% 14.15/2.96 % (3086128)Time elapsed: 0.572 s
% 14.15/2.96 % (3086128)Peak memory usage: 95 MB
% 14.15/2.96 % (3086128)Instructions burned: 908 (million)
% 14.15/2.96 % (3086137)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1561013108:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 14.15/2.96 % (3086137)Refutation not found, incomplete strategy
% 14.15/2.96 % (3086137)------------------------------
% 14.15/2.96 % (3086137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (3086137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (3086137)CaDiCaL version: 2.1.3
% 14.15/2.96 % (3086137)Termination reason: Refutation not found, incomplete strategy
% 14.15/2.96 % (3086137)Time elapsed: 0.001 s
% 14.15/2.96 % (3086137)Peak memory usage: 88 MB
% 14.15/2.96 % (3086138)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2675777303:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 14.15/2.96 % (3086098)First to succeed.
% 14.15/2.96 % (3086098)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3086092"
% 14.15/2.96 % (3086137)------------------------------
% 14.15/2.96 % (3086137)------------------------------
% 14.15/2.96 % (3086141)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3441489882:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 14.15/2.96 % (3086098)Refutation found. Thanks to Tanya!
% 14.15/2.96 % SZS status Theorem for theBenchmark
% 14.15/2.96 % SZS output start Proof for theBenchmark
% See solution above
% 15.35/3.15 % (3086098)------------------------------
% 15.35/3.15 % (3086098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.35/3.15 % (3086098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.35/3.15 % (3086098)CaDiCaL version: 2.1.3
% 15.35/3.15 % (3086098)Termination reason: Refutation
% 15.35/3.15 % (3086098)Time elapsed: 1.630 s
% 15.35/3.15 % (3086098)Peak memory usage: 139 MB
% 15.35/3.15 % (3086098)Instructions burned: 2639 (million)
% 15.35/3.15 % (3086098)------------------------------
% 15.35/3.15 % (3086098)------------------------------
% 15.35/3.15 % (3086092)Success in time 2.086 s
% 15.35/3.15 % Vampire exiting
%------------------------------------------------------------------------------