%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL394+1 : TPTP v9.3.1. Released v9.1.0.
% 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 11:52:16 AM UTC 2026
% Result : Theorem 11.15s 3.81s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 5
% Syntax : Number of formulae : 67 ( 38 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 39 ~; 36 |; 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 : 186 ( 186 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(not(x),z),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_58) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(not(x),z),u))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(not(x),z),u))),
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(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(not(x),z),u))),
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(f23,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,[],[f23,f18]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f23,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(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(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(f490,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f92,f336]) ).
fof(f506,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f490,f73]) ).
fof(f526,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f506,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,f490]) ).
fof(f773,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f710,f15]) ).
fof(f787,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f773,f18]) ).
fof(f817,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f787,f10]) ).
fof(f847,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f817,f11]) ).
fof(f850,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X3),implies(implies(X3,X1),X2)))),
inference(resolution,[],[f817,f22]) ).
fof(f876,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f817,f490]) ).
fof(f904,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f847,f10]) ).
fof(f960,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f904,f10]) ).
fof(f1267,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,[],[f876,f960]) ).
fof(f1703,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f1267,f609]) ).
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,[],[f1703,f108]) ).
fof(f1962,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(resolution,[],[f1803,f773]) ).
fof(f2037,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X1))) ),
inference(resolution,[],[f1962,f108]) ).
fof(f2098,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(resolution,[],[f2037,f12]) ).
fof(f2191,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(resolution,[],[f2098,f817]) ).
fof(f2198,plain,
$false,
inference(unit_resulting_resolution,[],[f129,f850,f14,f2191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL394+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n007.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 15:37:33 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 11.15/3.81 % (1605152)Detected formulas, will run a generic FOF schedule.
% 11.15/3.81 % (1605163)dis-21_1_sil=8000:lcm=predicate:random_seed=1484435638: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)
% 11.15/3.81 % (1605161)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=377527818:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.15/3.81 % (1605158)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=544809568:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.15/3.81 % (1605157)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=305477793:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.15/3.81 % (1605162)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1111826960:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.15/3.81 % (1605160)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3454430307:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.15/3.81 % (1605159)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=2302684211:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.15/3.81 % (1605160)Refutation not found, incomplete strategy
% 11.15/3.81 % (1605160)------------------------------
% 11.15/3.81 % (1605160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605160)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605160)Termination reason: Refutation not found, incomplete strategy
% 11.15/3.81 % (1605160)Time elapsed: 0.001 s
% 11.15/3.81 % (1605160)Peak memory usage: 87 MB
% 11.15/3.81 % (1605163)Instruction limit reached!
% 11.15/3.81 % (1605163)------------------------------
% 11.15/3.81 % (1605163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605163)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605163)Termination reason: Instruction limit
% 11.15/3.81 % (1605163)Termination phase: Saturation
% 11.15/3.81 % (1605163)Time elapsed: 0.070 s
% 11.15/3.81 % (1605163)Peak memory usage: 89 MB
% 11.15/3.81 % (1605163)Instructions burned: 129 (million)
% 11.15/3.81 % (1605161)Instruction limit reached!
% 11.15/3.81 % (1605161)------------------------------
% 11.15/3.81 % (1605161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605161)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605161)Termination reason: Instruction limit
% 11.15/3.81 % (1605161)Termination phase: Saturation
% 11.15/3.81 % (1605161)Time elapsed: 0.113 s
% 11.15/3.81 % (1605161)Peak memory usage: 87 MB
% 11.15/3.81 % (1605161)Instructions burned: 120 (million)
% 11.15/3.81 % (1605162)Instruction limit reached!
% 11.15/3.81 % (1605162)------------------------------
% 11.15/3.81 % (1605162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605162)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605162)Termination reason: Instruction limit
% 11.15/3.81 % (1605162)Termination phase: Saturation
% 11.15/3.81 % (1605162)Time elapsed: 0.138 s
% 11.15/3.81 % (1605162)Peak memory usage: 89 MB
% 11.15/3.81 % (1605162)Instructions burned: 140 (million)
% 11.15/3.81 % (1605171)lrs+10_1_sil=8000:sp=occurrence:random_seed=705572098:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.15/3.81 % (1605173)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3419297288:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.15/3.81 % (1605172)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2442853592:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.15/3.81 % (1605171)Instruction limit reached!
% 11.15/3.81 % (1605171)------------------------------
% 11.15/3.81 % (1605171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605171)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605171)Termination reason: Instruction limit
% 11.15/3.81 % (1605171)Termination phase: Saturation
% 11.15/3.81 % (1605171)Time elapsed: 0.145 s
% 11.15/3.81 % (1605171)Peak memory usage: 90 MB
% 11.15/3.81 % (1605171)Instructions burned: 285 (million)
% 11.15/3.81 % (1605160)------------------------------
% 11.15/3.81 % (1605160)------------------------------
% 11.15/3.81 % (1605172)Instruction limit reached!
% 11.15/3.81 % (1605172)------------------------------
% 11.15/3.81 % (1605172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605172)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605172)Termination reason: Instruction limit
% 11.15/3.81 % (1605172)Termination phase: Saturation
% 11.15/3.81 % (1605172)Time elapsed: 0.148 s
% 11.15/3.81 % (1605172)Peak memory usage: 89 MB
% 11.15/3.81 % (1605172)Instructions burned: 158 (million)
% 11.15/3.81 % (1605173)Instruction limit reached!
% 11.15/3.81 % (1605173)------------------------------
% 11.15/3.81 % (1605173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605173)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605173)Termination reason: Instruction limit
% 11.15/3.81 % (1605173)Termination phase: Saturation
% 11.15/3.81 % (1605173)Time elapsed: 0.199 s
% 11.15/3.81 % (1605173)Peak memory usage: 92 MB
% 11.15/3.81 % (1605173)Instructions burned: 325 (million)
% 11.15/3.81 % (1605177)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=2370666649:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.15/3.81 % (1605178)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2188405662:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.15/3.81 % (1605178)Refutation not found, incomplete strategy
% 11.15/3.81 % (1605178)------------------------------
% 11.15/3.81 % (1605178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605178)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605178)Termination reason: Refutation not found, incomplete strategy
% 11.15/3.81 % (1605178)Time elapsed: 0.002 s
% 11.15/3.81 % (1605178)Peak memory usage: 87 MB
% 11.15/3.81 % (1605180)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=288469007:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 11.15/3.81 % (1605180)Instruction limit reached!
% 11.15/3.81 % (1605180)------------------------------
% 11.15/3.81 % (1605180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605180)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605180)Termination reason: Instruction limit
% 11.15/3.81 % (1605180)Termination phase: Saturation
% 11.15/3.81 % (1605180)Time elapsed: 0.059 s
% 11.15/3.81 % (1605180)Peak memory usage: 89 MB
% 11.15/3.81 % (1605180)Instructions burned: 114 (million)
% 11.15/3.81 % (1605179)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2729653106:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 11.15/3.81 % (1605177)Instruction limit reached!
% 11.15/3.81 % (1605177)------------------------------
% 11.15/3.81 % (1605177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605177)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605177)Termination reason: Instruction limit
% 11.15/3.81 % (1605177)Termination phase: Saturation
% 11.15/3.81 % (1605177)Time elapsed: 0.220 s
% 11.15/3.81 % (1605177)Peak memory usage: 89 MB
% 11.15/3.81 % (1605177)Instructions burned: 249 (million)
% 11.15/3.81 % (1605184)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1672372119:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 11.15/3.81 % (1605178)------------------------------
% 11.15/3.81 % (1605178)------------------------------
% 11.15/3.81 % (1605184)Instruction limit reached!
% 11.15/3.81 % (1605184)------------------------------
% 11.15/3.81 % (1605184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605184)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605184)Termination reason: Instruction limit
% 11.15/3.81 % (1605184)Termination phase: Saturation
% 11.15/3.81 % (1605184)Time elapsed: 0.062 s
% 11.15/3.81 % (1605184)Peak memory usage: 88 MB
% 11.15/3.81 % (1605184)Instructions burned: 127 (million)
% 11.15/3.81 % (1605186)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1613125626:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 11.15/3.81 % (1605186)Instruction limit reached!
% 11.15/3.81 % (1605186)------------------------------
% 11.15/3.81 % (1605186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605186)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605186)Termination reason: Instruction limit
% 11.15/3.81 % (1605186)Termination phase: Saturation
% 11.15/3.81 % (1605186)Time elapsed: 0.122 s
% 11.15/3.81 % (1605186)Peak memory usage: 89 MB
% 11.15/3.81 % (1605186)Instructions burned: 114 (million)
% 11.15/3.81 % (1605189)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=757525272:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 11.15/3.81 % (1605189)Refutation not found, incomplete strategy
% 11.15/3.81 % (1605189)------------------------------
% 11.15/3.81 % (1605189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605189)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605189)Termination reason: Refutation not found, incomplete strategy
% 11.15/3.81 % (1605189)Time elapsed: 0.001 s
% 11.15/3.81 % (1605189)Peak memory usage: 87 MB
% 11.15/3.81 % (1605188)lrs+10_1_sil=8000:sp=occurrence:random_seed=127280565:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 11.15/3.81 % (1605189)------------------------------
% 11.15/3.81 % (1605189)------------------------------
% 11.15/3.81 % (1605191)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3257212668:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 11.15/3.81 % (1605194)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1259233768:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 11.15/3.81 % (1605194)Instruction limit reached!
% 11.15/3.81 % (1605194)------------------------------
% 11.15/3.81 % (1605194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605194)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605194)Termination reason: Instruction limit
% 11.15/3.81 % (1605194)Termination phase: Saturation
% 11.15/3.81 % (1605194)Time elapsed: 0.063 s
% 11.15/3.81 % (1605194)Peak memory usage: 89 MB
% 11.15/3.81 % (1605194)Instructions burned: 136 (million)
% 11.15/3.81 % (1605158)First to succeed.
% 11.15/3.81 % (1605158)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1605152"
% 11.15/3.81 % (1605197)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2477479211:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 11.15/3.81 % (1605197)Refutation not found, incomplete strategy
% 11.15/3.81 % (1605197)------------------------------
% 11.15/3.81 % (1605197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605197)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605197)Termination reason: Refutation not found, incomplete strategy
% 11.15/3.81 % (1605197)Time elapsed: 0.001 s
% 11.15/3.81 % (1605197)Peak memory usage: 88 MB
% 11.15/3.81 % (1605197)------------------------------
% 11.15/3.81 % (1605197)------------------------------
% 11.15/3.81 % (1605188)Instruction limit reached!
% 11.15/3.81 % (1605188)------------------------------
% 11.15/3.81 % (1605188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/3.81 % (1605188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/3.81 % (1605188)CaDiCaL version: 2.1.3
% 11.15/3.81 % (1605188)Termination reason: Instruction limit
% 11.15/3.81 % (1605188)Termination phase: Saturation
% 11.15/3.81 % (1605188)Time elapsed: 0.940 s
% 11.15/3.81 % (1605188)Peak memory usage: 95 MB
% 11.15/3.81 % (1605188)Instructions burned: 907 (million)
% 11.15/3.81 % (1605158)Refutation found. Thanks to Tanya!
% 11.15/3.81 % SZS status Theorem for theBenchmark
% 11.15/3.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/4.15 % (1605158)------------------------------
% 0.22/4.15 % (1605158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/4.15 % (1605158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/4.15 % (1605158)CaDiCaL version: 2.1.3
% 0.22/4.15 % (1605158)Termination reason: Refutation
% 0.22/4.15 % (1605158)Time elapsed: 2.065 s
% 0.22/4.15 % (1605158)Peak memory usage: 136 MB
% 0.22/4.15 % (1605158)Instructions burned: 1905 (million)
% 0.22/4.15 % (1605158)------------------------------
% 0.22/4.15 % (1605158)------------------------------
% 0.22/4.15 % (1605152)Success in time 2.793 s
% 0.22/4.15 % Vampire exiting
%------------------------------------------------------------------------------