%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL375+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 : n008.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 11:52:10 AM UTC 2026
% Result : Theorem 20.24s 3.84s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 83 ( 50 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 43 ~; 40 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 234 ( 234 !; 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(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_32) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
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(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
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,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f13,f15]) ).
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(f26,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f10]) ).
fof(f27,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f12,f15]) ).
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,[],[f27,f15]) ).
fof(f31,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f27,f10]) ).
fof(f34,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(f37,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,[],[f34,f10]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X2,X4),implies(X1,X4)),X3)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) ),
inference(resolution,[],[f37,f11]) ).
fof(f44,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,[],[f37,f13]) ).
fof(f58,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(f63,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X2),implies(implies(X1,X0),X2)))),
inference(resolution,[],[f58,f18]) ).
fof(f67,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,[],[f58,f10]) ).
fof(f86,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(f165,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f31,f10]) ).
fof(f168,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(implies(X2,X0),X1)))),
inference(resolution,[],[f63,f26]) ).
fof(f283,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f168,f10]) ).
fof(f302,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f283,f10]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f302,f26]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(resolution,[],[f306,f19]) ).
fof(f386,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f328,f12]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f386,f37]) ).
fof(f422,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f386,f165]) ).
fof(f486,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f414,f58]) ).
fof(f504,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X0),X0)))),
inference(resolution,[],[f414,f168]) ).
fof(f518,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[],[f486,f422]) ).
fof(f548,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,X2))),
inference(resolution,[],[f504,f67]) ).
fof(f560,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,implies(X0,X2)))),
inference(resolution,[],[f548,f18]) ).
fof(f585,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,X0)))
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[],[f560,f10]) ).
fof(f614,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f585,f518]) ).
fof(f635,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f614,f37]) ).
fof(f650,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(resolution,[],[f635,f16]) ).
fof(f671,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f635,f386]) ).
fof(f717,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f671,f165]) ).
fof(f856,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f717,f86]) ).
fof(f1073,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f650,f10]) ).
fof(f1089,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(resolution,[],[f1073,f486]) ).
fof(f1131,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f1089,f67]) ).
fof(f1151,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f1131,f18]) ).
fof(f1153,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f1131,f422]) ).
fof(f1186,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1151,f10]) ).
fof(f1217,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f1153,f44]) ).
fof(f1219,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f1153,f38]) ).
fof(f1250,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,[],[f1219,f38]) ).
fof(f1253,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f1219,f10]) ).
fof(f1268,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f1217,f15]) ).
fof(f1349,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1253,f10]) ).
fof(f1704,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
inference(resolution,[],[f1268,f67]) ).
fof(f1716,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f1704,f422]) ).
fof(f1718,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f1704,f717]) ).
fof(f1762,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1716,f10]) ).
fof(f1888,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[],[f1718,f1186]) ).
fof(f1903,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X0),X2))
| is_a_theorem(implies(implies(implies(X0,X1),X0),X2)) ),
inference(resolution,[],[f1718,f1349]) ).
fof(f2162,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1762,f856]) ).
fof(f2242,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),implies(X3,X2)))),
inference(resolution,[],[f1903,f11]) ).
fof(f2288,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(implies(X0,X1),X2),implies(X3,X2)))),
inference(resolution,[],[f2242,f18]) ).
fof(f2317,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X2,X0),implies(X3,implies(X2,X1))))),
inference(resolution,[],[f2288,f38]) ).
fof(f2369,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[],[f2317,f2162]) ).
fof(f2471,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f2369,f1186]) ).
fof(f2497,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f2471,f10]) ).
fof(f2552,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))),
inference(resolution,[],[f2497,f1888]) ).
fof(f2575,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(resolution,[],[f2552,f18]) ).
fof(f2597,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1))),
inference(resolution,[],[f2575,f18]) ).
fof(f2633,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(resolution,[],[f2597,f1186]) ).
fof(f2788,plain,
$false,
inference(unit_resulting_resolution,[],[f1349,f14,f1250,f2633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL375+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n008.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 15:38:39 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 20.24/3.84 % (1398531)Detected formulas, will run a generic FOF schedule.
% 20.24/3.84 % (1398536)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=578889582:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.24/3.84 % (1398542)dis-21_1_sil=8000:lcm=predicate:random_seed=3700773000: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)
% 20.24/3.84 % (1398537)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=4085936016:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.24/3.84 % (1398539)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1747031182:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.24/3.84 % (1398538)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=131780235:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.24/3.84 % (1398539)Refutation not found, incomplete strategy
% 20.24/3.84 % (1398539)------------------------------
% 20.24/3.84 % (1398539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398539)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398539)Termination reason: Refutation not found, incomplete strategy
% 20.24/3.84 % (1398539)Time elapsed: 0.001 s
% 20.24/3.84 % (1398539)Peak memory usage: 87 MB
% 20.24/3.84 % (1398541)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3928535204:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.24/3.84 % (1398540)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1339930445:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.24/3.84 % (1398540)Instruction limit reached!
% 20.24/3.84 % (1398540)------------------------------
% 20.24/3.84 % (1398540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398540)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398540)Termination reason: Instruction limit
% 20.24/3.84 % (1398540)Termination phase: Saturation
% 20.24/3.84 % (1398540)Time elapsed: 0.096 s
% 20.24/3.84 % (1398540)Peak memory usage: 87 MB
% 20.24/3.84 % (1398540)Instructions burned: 119 (million)
% 20.24/3.84 % (1398542)Instruction limit reached!
% 20.24/3.84 % (1398542)------------------------------
% 20.24/3.84 % (1398542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398542)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398542)Termination reason: Instruction limit
% 20.24/3.84 % (1398542)Termination phase: Saturation
% 20.24/3.84 % (1398542)Time elapsed: 0.124 s
% 20.24/3.84 % (1398542)Peak memory usage: 88 MB
% 20.24/3.84 % (1398542)Instructions burned: 129 (million)
% 20.24/3.84 % (1398541)Instruction limit reached!
% 20.24/3.84 % (1398541)------------------------------
% 20.24/3.84 % (1398541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398541)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398541)Termination reason: Instruction limit
% 20.24/3.84 % (1398541)Termination phase: Saturation
% 20.24/3.84 % (1398541)Time elapsed: 0.193 s
% 20.24/3.84 % (1398541)Peak memory usage: 89 MB
% 20.24/3.84 % (1398541)Instructions burned: 140 (million)
% 20.24/3.84 % (1398539)------------------------------
% 20.24/3.84 % (1398539)------------------------------
% 20.24/3.84 % (1398552)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1359944063:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 20.24/3.84 % (1398551)lrs+10_1_sil=32000:urr=on:br=off:random_seed=664046525:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 20.24/3.84 % (1398550)lrs+10_1_sil=8000:sp=occurrence:random_seed=1400531928:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 20.24/3.84 % (1398551)Instruction limit reached!
% 20.24/3.84 % (1398551)------------------------------
% 20.24/3.84 % (1398551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398551)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398551)Termination reason: Instruction limit
% 20.24/3.84 % (1398551)Termination phase: Saturation
% 20.24/3.84 % (1398551)Time elapsed: 0.151 s
% 20.24/3.84 % (1398551)Peak memory usage: 89 MB
% 20.24/3.84 % (1398551)Instructions burned: 157 (million)
% 20.24/3.84 % (1398553)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=153189842:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 20.24/3.84 % (1398550)Instruction limit reached!
% 20.24/3.84 % (1398550)------------------------------
% 20.24/3.84 % (1398550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398550)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398550)Termination reason: Instruction limit
% 20.24/3.84 % (1398550)Termination phase: Saturation
% 20.24/3.84 % (1398550)Time elapsed: 0.286 s
% 20.24/3.84 % (1398550)Peak memory usage: 90 MB
% 20.24/3.84 % (1398550)Instructions burned: 286 (million)
% 20.24/3.84 % (1398553)Instruction limit reached!
% 20.24/3.84 % (1398553)------------------------------
% 20.24/3.84 % (1398553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398553)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398553)Termination reason: Instruction limit
% 20.24/3.84 % (1398553)Termination phase: Saturation
% 20.24/3.84 % (1398553)Time elapsed: 0.119 s
% 20.24/3.84 % (1398553)Peak memory usage: 89 MB
% 20.24/3.84 % (1398553)Instructions burned: 249 (million)
% 20.24/3.84 % (1398552)Instruction limit reached!
% 20.24/3.84 % (1398552)------------------------------
% 20.24/3.84 % (1398552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398552)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398552)Termination reason: Instruction limit
% 20.24/3.84 % (1398552)Termination phase: Saturation
% 20.24/3.84 % (1398552)Time elapsed: 0.356 s
% 20.24/3.84 % (1398552)Peak memory usage: 93 MB
% 20.24/3.84 % (1398552)Instructions burned: 327 (million)
% 20.24/3.84 % (1398557)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3285214007:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 20.24/3.84 % (1398557)Refutation not found, incomplete strategy
% 20.24/3.84 % (1398557)------------------------------
% 20.24/3.84 % (1398557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398557)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398557)Termination reason: Refutation not found, incomplete strategy
% 20.24/3.84 % (1398557)Time elapsed: 0.002 s
% 20.24/3.84 % (1398557)Peak memory usage: 87 MB
% 20.24/3.84 % (1398559)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2478869057:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 20.24/3.84 % (1398561)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1232259263:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 20.24/3.84 % (1398560)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2823001363:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 20.24/3.84 % (1398561)Instruction limit reached!
% 20.24/3.84 % (1398561)------------------------------
% 20.24/3.84 % (1398561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398561)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398561)Termination reason: Instruction limit
% 20.24/3.84 % (1398561)Termination phase: Saturation
% 20.24/3.84 % (1398561)Time elapsed: 0.065 s
% 20.24/3.84 % (1398561)Peak memory usage: 88 MB
% 20.24/3.84 % (1398561)Instructions burned: 128 (million)
% 20.24/3.84 % (1398560)Instruction limit reached!
% 20.24/3.84 % (1398560)------------------------------
% 20.24/3.84 % (1398560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398560)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398560)Termination reason: Instruction limit
% 20.24/3.84 % (1398560)Termination phase: Saturation
% 20.24/3.84 % (1398560)Time elapsed: 0.116 s
% 20.24/3.84 % (1398560)Peak memory usage: 89 MB
% 20.24/3.84 % (1398560)Instructions burned: 114 (million)
% 20.24/3.84 % (1398557)------------------------------
% 20.24/3.84 % (1398557)------------------------------
% 20.24/3.84 % (1398566)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2883411725:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 20.24/3.84 % (1398566)Instruction limit reached!
% 20.24/3.84 % (1398566)------------------------------
% 20.24/3.84 % (1398566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398566)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398566)Termination reason: Instruction limit
% 20.24/3.84 % (1398566)Termination phase: Saturation
% 20.24/3.84 % (1398566)Time elapsed: 0.059 s
% 20.24/3.84 % (1398566)Peak memory usage: 89 MB
% 20.24/3.84 % (1398566)Instructions burned: 116 (million)
% 20.24/3.84 % (1398567)lrs+10_1_sil=8000:sp=occurrence:random_seed=1372856872:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 20.24/3.84 % (1398568)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=900515671:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 20.24/3.84 % (1398568)Refutation not found, incomplete strategy
% 20.24/3.84 % (1398568)------------------------------
% 20.24/3.84 % (1398568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398568)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398568)Termination reason: Refutation not found, incomplete strategy
% 20.24/3.84 % (1398568)Time elapsed: 0.001 s
% 20.24/3.84 % (1398568)Peak memory usage: 88 MB
% 20.24/3.84 % (1398570)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3271476580:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 20.24/3.84 % (1398568)------------------------------
% 20.24/3.84 % (1398568)------------------------------
% 20.24/3.84 % (1398537)First to succeed.
% 20.24/3.84 % (1398537)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1398531"
% 20.24/3.84 % (1398574)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4029312554:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 20.24/3.84 % (1398574)Instruction limit reached!
% 20.24/3.84 % (1398574)------------------------------
% 20.24/3.84 % (1398574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398574)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398574)Termination reason: Instruction limit
% 20.24/3.84 % (1398574)Termination phase: Saturation
% 20.24/3.84 % (1398574)Time elapsed: 0.122 s
% 20.24/3.84 % (1398574)Peak memory usage: 89 MB
% 20.24/3.84 % (1398574)Instructions burned: 134 (million)
% 20.24/3.84 % (1398567)Instruction limit reached!
% 20.24/3.84 % (1398567)------------------------------
% 20.24/3.84 % (1398567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.84 % (1398567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.84 % (1398567)CaDiCaL version: 2.1.3
% 20.24/3.84 % (1398567)Termination reason: Instruction limit
% 20.24/3.84 % (1398567)Termination phase: Saturation
% 20.24/3.84 % (1398567)Time elapsed: 0.954 s
% 20.24/3.84 % (1398567)Peak memory usage: 95 MB
% 20.24/3.84 % (1398567)Instructions burned: 907 (million)
% 20.24/3.84 % (1398537)Refutation found. Thanks to Tanya!
% 20.24/3.84 % SZS status Theorem for theBenchmark
% 20.24/3.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/4.06 % (1398537)------------------------------
% 0.23/4.06 % (1398537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/4.06 % (1398537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/4.06 % (1398537)CaDiCaL version: 2.1.3
% 0.23/4.06 % (1398537)Termination reason: Refutation
% 0.23/4.06 % (1398537)Time elapsed: 2.186 s
% 0.23/4.06 % (1398537)Peak memory usage: 137 MB
% 0.23/4.06 % (1398537)Instructions burned: 2228 (million)
% 0.23/4.06 % (1398537)------------------------------
% 0.23/4.06 % (1398537)------------------------------
% 0.23/4.06 % (1398531)Success in time 2.891 s
% 0.23/4.06 % Vampire exiting
%------------------------------------------------------------------------------