%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL392+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 : n017.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 11:52:15 AM UTC 2026
% Result : Theorem 6.53s 1.93s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 73 ( 16 unt; 2 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 170 ( 87 ~; 79 |; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 239 ( 0 sgn 239 !; 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(implies(implies(x,y),y),z),implies(implies(n(x),y),z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(implies(n(x),y),z))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(implies(n(x),y),z))),
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(implies(implies(x,y),y),z),implies(implies(n(x),y),z))),
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(f90,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(f96,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f90,f8]) ).
fof(f97,plain,
( ~ is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y)))
| ~ spl0_2 ),
inference(resolution,[],[f96,f10]) ).
fof(f101,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,[],[f96,f8]) ).
fof(f107,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,[],[f101,f90]) ).
fof(f109,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f101,f12]) ).
fof(f122,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f109,f16]) ).
fof(f132,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f122,f90]) ).
fof(f139,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,[],[f122,f107]) ).
fof(f146,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f132,f8]) ).
fof(f161,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,[],[f139,f31]) ).
fof(f171,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f139,f32]) ).
fof(f183,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,[],[f161,f8]) ).
fof(f192,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,[],[f183,f96]) ).
fof(f242,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,[],[f171,f101]) ).
fof(f282,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f146,f31]) ).
fof(f290,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f146,f90]) ).
fof(f320,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f282,f183]) ).
fof(f332,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f320,f183]) ).
fof(f340,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f332,f146]) ).
fof(f344,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(n(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f332,f8]) ).
fof(f391,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f340,f242]) ).
fof(f400,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
| ~ spl0_2 ),
inference(resolution,[],[f344,f391]) ).
fof(f449,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f400,f183]) ).
fof(f450,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f400,f101]) ).
fof(f467,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,[],[f449,f101]) ).
fof(f529,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,[],[f467,f192]) ).
fof(f548,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f529,f146]) ).
fof(f618,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f548,f90]) ).
fof(f635,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f548,f290]) ).
fof(f654,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f618,f8]) ).
fof(f688,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,[],[f654,f467]) ).
fof(f703,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,[],[f688,f183]) ).
fof(f839,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f635,f450]) ).
fof(f858,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f839,f101]) ).
fof(f1247,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f858,f96]) ).
fof(f1280,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl0_2 ),
inference(resolution,[],[f1247,f132]) ).
fof(f1324,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f1280,f703]) ).
fof(f1394,plain,
( $false
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f101,f332,f97,f1324]) ).
fof(f1417,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1394]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f67]) ).
cnf(s22,plain,
~ spl0_2,
inference(sat_conversion,[],[f1417]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s22,s9]) ).
fof(f1418,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL392+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:34:59 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.42 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
% 6.53/1.93 % (2749023)Detected formulas, will run a generic FOF schedule.
% 6.53/1.93 % (2749032)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1004736612:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.53/1.93 % (2749031)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=135483671:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.53/1.93 % (2749031)Refutation not found, incomplete strategy
% 6.53/1.93 % (2749031)------------------------------
% 6.53/1.93 % (2749031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749031)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749031)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.93 % (2749031)Time elapsed: 0.001 s
% 6.53/1.93 % (2749031)Peak memory usage: 87 MB
% 6.53/1.93 % (2749028)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=3841331545:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.53/1.93 % (2749029)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=1001578057:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.53/1.93 % (2749030)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=1540319563:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.53/1.93 % (2749032)Instruction limit reached!
% 6.53/1.93 % (2749032)------------------------------
% 6.53/1.93 % (2749032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749032)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749032)Termination reason: Instruction limit
% 6.53/1.93 % (2749032)Termination phase: Saturation
% 6.53/1.93 % (2749032)Time elapsed: 0.041 s
% 6.53/1.93 % (2749032)Peak memory usage: 88 MB
% 6.53/1.93 % (2749032)Instructions burned: 119 (million)
% 6.53/1.93 % (2749033)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1992375146:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.53/1.93 % (2749034)dis-21_1_sil=8000:lcm=predicate:random_seed=908910682: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)
% 6.53/1.93 % (2749034)Instruction limit reached!
% 6.53/1.93 % (2749034)------------------------------
% 6.53/1.93 % (2749034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749034)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749034)Termination reason: Instruction limit
% 6.53/1.93 % (2749034)Termination phase: Saturation
% 6.53/1.93 % (2749034)Time elapsed: 0.087 s
% 6.53/1.93 % (2749034)Peak memory usage: 89 MB
% 6.53/1.93 % (2749034)Instructions burned: 130 (million)
% 6.53/1.93 % (2749033)Instruction limit reached!
% 6.53/1.93 % (2749033)------------------------------
% 6.53/1.93 % (2749033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749033)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749033)Termination reason: Instruction limit
% 6.53/1.93 % (2749033)Termination phase: Saturation
% 6.53/1.93 % (2749033)Time elapsed: 0.088 s
% 6.53/1.93 % (2749033)Peak memory usage: 89 MB
% 6.53/1.93 % (2749033)Instructions burned: 140 (million)
% 6.53/1.93 % (2749042)lrs+10_1_sil=8000:sp=occurrence:random_seed=3177417900:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.53/1.93 % (2749042)Instruction limit reached!
% 6.53/1.93 % (2749042)------------------------------
% 6.53/1.93 % (2749042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749042)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749042)Termination reason: Instruction limit
% 6.53/1.93 % (2749042)Termination phase: Saturation
% 6.53/1.93 % (2749042)Time elapsed: 0.097 s
% 6.53/1.93 % (2749042)Peak memory usage: 91 MB
% 6.53/1.93 % (2749042)Instructions burned: 286 (million)
% 6.53/1.93 % (2749044)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1824981079:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.53/1.93 % (2749043)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3832196213:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.53/1.93 % (2749031)------------------------------
% 6.53/1.93 % (2749031)------------------------------
% 6.53/1.93 % (2749046)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=2805157964:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.53/1.93 % (2749043)Instruction limit reached!
% 6.53/1.93 % (2749043)------------------------------
% 6.53/1.93 % (2749043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749043)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749043)Termination reason: Instruction limit
% 6.53/1.93 % (2749043)Termination phase: Saturation
% 6.53/1.93 % (2749043)Time elapsed: 0.092 s
% 6.53/1.93 % (2749043)Peak memory usage: 88 MB
% 6.53/1.93 % (2749043)Instructions burned: 157 (million)
% 6.53/1.93 % (2749049)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1967305611:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.53/1.93 % (2749049)Refutation not found, incomplete strategy
% 6.53/1.93 % (2749049)------------------------------
% 6.53/1.93 % (2749049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749049)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749049)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.93 % (2749049)Time elapsed: 0.001 s
% 6.53/1.93 % (2749049)Peak memory usage: 87 MB
% 6.53/1.93 % (2749046)Instruction limit reached!
% 6.53/1.93 % (2749046)------------------------------
% 6.53/1.93 % (2749046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749046)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749046)Termination reason: Instruction limit
% 6.53/1.93 % (2749046)Termination phase: Saturation
% 6.53/1.93 % (2749046)Time elapsed: 0.076 s
% 6.53/1.93 % (2749046)Peak memory usage: 88 MB
% 6.53/1.93 % (2749046)Instructions burned: 251 (million)
% 6.53/1.93 % (2749044)Instruction limit reached!
% 6.53/1.93 % (2749044)------------------------------
% 6.53/1.93 % (2749044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749044)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749044)Termination reason: Instruction limit
% 6.53/1.93 % (2749044)Termination phase: Saturation
% 6.53/1.93 % (2749044)Time elapsed: 0.203 s
% 6.53/1.93 % (2749044)Peak memory usage: 89 MB
% 6.53/1.93 % (2749044)Instructions burned: 326 (million)
% 6.53/1.93 % (2749051)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=978404916:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.53/1.93 % (2749053)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3759792267:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.53/1.93 % (2749053)Instruction limit reached!
% 6.53/1.93 % (2749053)------------------------------
% 6.53/1.93 % (2749053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749053)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749053)Termination reason: Instruction limit
% 6.53/1.93 % (2749053)Termination phase: Saturation
% 6.53/1.93 % (2749053)Time elapsed: 0.035 s
% 6.53/1.93 % (2749053)Peak memory usage: 88 MB
% 6.53/1.93 % (2749053)Instructions burned: 115 (million)
% 6.53/1.93 % (2749054)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=310554780:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.53/1.93 % (2749049)------------------------------
% 6.53/1.93 % (2749049)------------------------------
% 6.53/1.93 % (2749054)Instruction limit reached!
% 6.53/1.93 % (2749054)------------------------------
% 6.53/1.93 % (2749054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749054)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749054)Termination reason: Instruction limit
% 6.53/1.93 % (2749054)Termination phase: Saturation
% 6.53/1.93 % (2749054)Time elapsed: 0.070 s
% 6.53/1.93 % (2749054)Peak memory usage: 87 MB
% 6.53/1.93 % (2749054)Instructions burned: 127 (million)
% 6.53/1.93 % (2749057)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=81644990:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.53/1.93 % (2749057)Instruction limit reached!
% 6.53/1.93 % (2749057)------------------------------
% 6.53/1.93 % (2749057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749057)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749057)Termination reason: Instruction limit
% 6.53/1.93 % (2749057)Termination phase: Saturation
% 6.53/1.93 % (2749057)Time elapsed: 0.062 s
% 6.53/1.93 % (2749057)Peak memory usage: 89 MB
% 6.53/1.93 % (2749057)Instructions burned: 114 (million)
% 6.53/1.93 % (2749059)lrs+10_1_sil=8000:sp=occurrence:random_seed=2532960247:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.53/1.93 % (2749029)First to succeed.
% 6.53/1.93 % (2749029)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2749023"
% 6.53/1.93 % (2749061)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=578716666:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.53/1.93 % (2749061)Refutation not found, incomplete strategy
% 6.53/1.93 % (2749061)------------------------------
% 6.53/1.93 % (2749061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.93 % (2749061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.93 % (2749061)CaDiCaL version: 2.1.3
% 6.53/1.93 % (2749061)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.93 % (2749061)Time elapsed: 0.001 s
% 6.53/1.93 % (2749061)Peak memory usage: 88 MB
% 6.53/1.93 % (2749062)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3892177570:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.53/1.93 % (2749029)Refutation found. Thanks to Tanya!
% 6.53/1.93 % SZS status Theorem for theBenchmark
% 6.53/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.13 % (2749029)------------------------------
% 0.17/2.13 % (2749029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.13 % (2749029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.13 % (2749029)CaDiCaL version: 2.1.3
% 0.17/2.13 % (2749029)Termination reason: Refutation
% 0.17/2.13 % (2749029)Time elapsed: 0.758 s
% 0.17/2.13 % (2749029)Peak memory usage: 133 MB
% 0.17/2.13 % (2749029)Instructions burned: 1458 (million)
% 0.17/2.13 % (2749029)------------------------------
% 0.17/2.13 % (2749029)------------------------------
% 0.17/2.13 % (2749023)Success in time 1.078 s
% 0.17/2.13 % Vampire exiting
%------------------------------------------------------------------------------