%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL382+2 : 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 : n001.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 11:52:12 AM UTC 2026
% Result : Theorem 9.43s 2.18s
% Output : Refutation 9.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 74 ( 16 unt; 2 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 173 ( 88 ~; 81 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 241 ( 0 sgn 241 !; 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,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f2) ).
fof(f3,conjecture,
is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x)))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x)))),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,n(x)),n(x)))),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6),implies(implies(implies(implies(implies(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))),implies(implies(implies(n(X10),X10),X10),X11)),X11),implies(implies(X12,implies(n(X12),X13)),X14)),X14),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f9,f8]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f11,f9]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5)),
inference(resolution,[],[f12,f11]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f13,f11]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f13,f8]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8))),
inference(resolution,[],[f15,f11]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ is_a_theorem(X8) ),
inference(resolution,[],[f17,f8]) ).
fof(f21,definition,
( spl0_1
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f22,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,definition,
( spl0_2
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f25,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f28,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X0)))
| is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f25,f8]) ).
fof(f31,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4))
| ~ spl0_2 ),
inference(resolution,[],[f28,f12]) ).
fof(f32,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(n(X1),X2))))
| ~ spl0_2 ),
inference(resolution,[],[f28,f15]) ).
fof(f54,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f22,f13]) ).
fof(f67,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f81,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f31]) ).
fof(f83,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(n(X1),X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f25]) ).
fof(f96,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f81,f28]) ).
fof(f102,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f96,f8]) ).
fof(f106,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f102,f8]) ).
fof(f112,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f106,f96]) ).
fof(f114,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f106,f12]) ).
fof(f128,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f114,f16]) ).
fof(f136,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f128,f96]) ).
fof(f144,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f128,f112]) ).
fof(f151,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f136,f8]) ).
fof(f185,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))
| ~ spl0_2 ),
inference(resolution,[],[f144,f31]) ).
fof(f197,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f144,f32]) ).
fof(f199,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f144,f83]) ).
fof(f216,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)) )
| ~ spl0_2 ),
inference(resolution,[],[f185,f8]) ).
fof(f221,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(n(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f197,f106]) ).
fof(f233,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f216,f102]) ).
fof(f323,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f151,f31]) ).
fof(f365,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f323,f216]) ).
fof(f376,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f365,f216]) ).
fof(f384,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f376,f151]) ).
fof(f388,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f376,f8]) ).
fof(f425,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f384,f221]) ).
fof(f441,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X0,X1)),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f388,f216]) ).
fof(f554,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f441,f425]) ).
fof(f593,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f554,f106]) ).
fof(f614,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f593,f233]) ).
fof(f638,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f614,f151]) ).
fof(f752,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f638,f96]) ).
fof(f753,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X0),implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f638,f199]) ).
fof(f809,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f752,f8]) ).
fof(f827,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f753,f106]) ).
fof(f837,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f809,f593]) ).
fof(f853,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f837,f216]) ).
fof(f908,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f827,f102]) ).
fof(f959,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),X2)))
| ~ spl0_2 ),
inference(resolution,[],[f908,f425]) ).
fof(f984,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f959,f638]) ).
fof(f991,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl0_2 ),
inference(resolution,[],[f984,f128]) ).
fof(f1063,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f991,f106]) ).
fof(f1121,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,n(X0)),implies(X1,n(X0))))
| ~ spl0_2 ),
inference(resolution,[],[f1063,f199]) ).
fof(f1152,plain,
( $false
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f853,f10,f1121]) ).
fof(f1169,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1152]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f67]) ).
cnf(s25,plain,
~ spl0_2,
inference(sat_conversion,[],[f1169]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s1,s25,s9]) ).
fof(f1170,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL382+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 15:44:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 9.43/2.17 % (3734355)Detected formulas, will run a generic FOF schedule.
% 9.43/2.17 % (3734364)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3099822140:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.43/2.17 % (3734360)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=3562491718:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.43/2.17 % (3734363)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1440531701:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.43/2.17 % (3734361)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=680287822:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.43/2.17 % (3734366)dis-21_1_sil=8000:lcm=predicate:random_seed=2532807666: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)
% 9.43/2.17 % (3734365)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1448272412:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.43/2.17 % (3734362)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=2776494740:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.43/2.17 % (3734363)Refutation not found, incomplete strategy
% 9.43/2.17 % (3734363)------------------------------
% 9.43/2.17 % (3734363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.17 % (3734363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.17 % (3734363)CaDiCaL version: 2.1.3
% 9.43/2.17 % (3734363)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.17 % (3734363)Time elapsed: 0.001 s
% 9.43/2.17 % (3734363)Peak memory usage: 87 MB
% 9.43/2.17 % (3734364)Instruction limit reached!
% 9.43/2.17 % (3734364)------------------------------
% 9.43/2.17 % (3734364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.17 % (3734364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.17 % (3734364)CaDiCaL version: 2.1.3
% 9.43/2.17 % (3734364)Termination reason: Instruction limit
% 9.43/2.17 % (3734364)Termination phase: Saturation
% 9.43/2.17 % (3734364)Time elapsed: 0.041 s
% 9.43/2.17 % (3734364)Peak memory usage: 88 MB
% 9.43/2.17 % (3734364)Instructions burned: 120 (million)
% 9.43/2.17 % (3734366)Instruction limit reached!
% 9.43/2.17 % (3734366)------------------------------
% 9.43/2.17 % (3734366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.17 % (3734366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.17 % (3734366)CaDiCaL version: 2.1.3
% 9.43/2.17 % (3734366)Termination reason: Instruction limit
% 9.43/2.17 % (3734366)Termination phase: Saturation
% 9.43/2.17 % (3734366)Time elapsed: 0.086 s
% 9.43/2.17 % (3734366)Peak memory usage: 89 MB
% 9.43/2.17 % (3734366)Instructions burned: 130 (million)
% 9.43/2.17 % (3734365)Instruction limit reached!
% 9.43/2.17 % (3734365)------------------------------
% 9.43/2.17 % (3734365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.17 % (3734365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.17 % (3734365)CaDiCaL version: 2.1.3
% 9.43/2.17 % (3734365)Termination reason: Instruction limit
% 9.43/2.17 % (3734365)Termination phase: Saturation
% 9.43/2.17 % (3734365)Time elapsed: 0.087 s
% 9.43/2.17 % (3734365)Peak memory usage: 88 MB
% 9.43/2.17 % (3734365)Instructions burned: 139 (million)
% 9.43/2.17 % (3734374)lrs+10_1_sil=8000:sp=occurrence:random_seed=1581870377:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.43/2.17 % (3734374)Instruction limit reached!
% 9.43/2.17 % (3734374)------------------------------
% 9.43/2.17 % (3734374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.17 % (3734374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.17 % (3734374)CaDiCaL version: 2.1.3
% 9.43/2.17 % (3734374)Termination reason: Instruction limit
% 9.43/2.17 % (3734374)Termination phase: Saturation
% 9.43/2.17 % (3734374)Time elapsed: 0.098 s
% 9.43/2.17 % (3734374)Peak memory usage: 91 MB
% 9.43/2.17 % (3734374)Instructions burned: 288 (million)
% 9.43/2.17 % (3734363)------------------------------
% 9.43/2.17 % (3734363)------------------------------
% 9.43/2.17 % (3734376)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2205150346:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.43/2.17 % (3734375)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1874886408:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.43/2.17 % (3734375)Instruction limit reached!
% 9.43/2.17 % (3734375)------------------------------
% 9.43/2.17 % (3734375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.17 % (3734375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.17 % (3734375)CaDiCaL version: 2.1.3
% 9.43/2.17 % (3734375)Termination reason: Instruction limit
% 9.43/2.17 % (3734375)Termination phase: Saturation
% 9.43/2.17 % (3734375)Time elapsed: 0.091 s
% 9.43/2.17 % (3734375)Peak memory usage: 88 MB
% 9.43/2.17 % (3734375)Instructions burned: 158 (million)
% 9.43/2.17 % (3734380)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=453899830:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.43/2.17 % (3734381)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2384149329:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.43/2.17 % (3734381)Refutation not found, incomplete strategy
% 9.43/2.17 % (3734381)------------------------------
% 9.43/2.17 % (3734381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.17 % (3734381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.17 % (3734381)CaDiCaL version: 2.1.3
% 9.43/2.17 % (3734381)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.17 % (3734381)Time elapsed: 0.001 s
% 9.43/2.17 % (3734381)Peak memory usage: 87 MB
% 9.43/2.17 % (3734380)Instruction limit reached!
% 9.43/2.17 % (3734380)------------------------------
% 9.43/2.17 % (3734380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.17 % (3734380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.17 % (3734380)CaDiCaL version: 2.1.3
% 9.43/2.17 % (3734380)Termination reason: Instruction limit
% 9.43/2.17 % (3734380)Termination phase: Saturation
% 9.43/2.18 % (3734380)Time elapsed: 0.075 s
% 9.43/2.18 % (3734380)Peak memory usage: 88 MB
% 9.43/2.18 % (3734380)Instructions burned: 252 (million)
% 9.43/2.18 % (3734376)Instruction limit reached!
% 9.43/2.18 % (3734376)------------------------------
% 9.43/2.18 % (3734376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (3734376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (3734376)CaDiCaL version: 2.1.3
% 9.43/2.18 % (3734376)Termination reason: Instruction limit
% 9.43/2.18 % (3734376)Termination phase: Saturation
% 9.43/2.18 % (3734376)Time elapsed: 0.200 s
% 9.43/2.18 % (3734376)Peak memory usage: 90 MB
% 9.43/2.18 % (3734376)Instructions burned: 326 (million)
% 9.43/2.18 % (3734382)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1741809114:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.43/2.18 % (3734385)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3791126202:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.43/2.18 % (3734385)Instruction limit reached!
% 9.43/2.18 % (3734385)------------------------------
% 9.43/2.18 % (3734385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (3734385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (3734385)CaDiCaL version: 2.1.3
% 9.43/2.18 % (3734385)Termination reason: Instruction limit
% 9.43/2.18 % (3734385)Termination phase: Saturation
% 9.43/2.18 % (3734385)Time elapsed: 0.034 s
% 9.43/2.18 % (3734385)Peak memory usage: 88 MB
% 9.43/2.18 % (3734385)Instructions burned: 113 (million)
% 9.43/2.18 % (3734386)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3792603058:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.43/2.18 % (3734381)------------------------------
% 9.43/2.18 % (3734381)------------------------------
% 9.43/2.18 % (3734386)Instruction limit reached!
% 9.43/2.18 % (3734386)------------------------------
% 9.43/2.18 % (3734386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (3734386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (3734386)CaDiCaL version: 2.1.3
% 9.43/2.18 % (3734386)Termination reason: Instruction limit
% 9.43/2.18 % (3734386)Termination phase: Saturation
% 9.43/2.18 % (3734386)Time elapsed: 0.070 s
% 9.43/2.18 % (3734386)Peak memory usage: 87 MB
% 9.43/2.18 % (3734386)Instructions burned: 127 (million)
% 9.43/2.18 % (3734389)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=424315296:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.43/2.18 % (3734389)Instruction limit reached!
% 9.43/2.18 % (3734389)------------------------------
% 9.43/2.18 % (3734389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (3734389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (3734389)CaDiCaL version: 2.1.3
% 9.43/2.18 % (3734389)Termination reason: Instruction limit
% 9.43/2.18 % (3734389)Termination phase: Saturation
% 9.43/2.18 % (3734389)Time elapsed: 0.034 s
% 9.43/2.18 % (3734389)Peak memory usage: 88 MB
% 9.43/2.18 % (3734389)Instructions burned: 116 (million)
% 9.43/2.18 % (3734391)lrs+10_1_sil=8000:sp=occurrence:random_seed=771842519:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.43/2.18 % (3734392)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3665684293:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.43/2.18 % (3734392)Refutation not found, incomplete strategy
% 9.43/2.18 % (3734392)------------------------------
% 9.43/2.18 % (3734392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (3734392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (3734392)CaDiCaL version: 2.1.3
% 9.43/2.18 % (3734392)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (3734392)Time elapsed: 0.001 s
% 9.43/2.18 % (3734392)Peak memory usage: 88 MB
% 9.43/2.18 % (3734394)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=220335181:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.43/2.18 % (3734361)First to succeed.
% 9.43/2.18 % (3734361)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3734355"
% 9.43/2.18 % (3734392)------------------------------
% 9.43/2.18 % (3734392)------------------------------
% 9.43/2.18 % (3734361)Refutation found. Thanks to Tanya!
% 9.43/2.18 % SZS status Theorem for theBenchmark
% 9.43/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 9.79/2.27 % (3734361)------------------------------
% 9.79/2.27 % (3734361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (3734361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (3734361)CaDiCaL version: 2.1.3
% 9.79/2.27 % (3734361)Termination reason: Refutation
% 9.79/2.27 % (3734361)Time elapsed: 0.885 s
% 9.79/2.27 % (3734361)Peak memory usage: 130 MB
% 9.79/2.27 % (3734361)Instructions burned: 1327 (million)
% 9.79/2.27 % (3734361)------------------------------
% 9.79/2.27 % (3734361)------------------------------
% 9.79/2.27 % (3734355)Success in time 1.318 s
% 9.79/2.27 % Vampire exiting
%------------------------------------------------------------------------------