%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL368+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 11:58:27 AM UTC 2026
% Result : Theorem 23.79s 3.97s
% Output : Refutation 23.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 53 ( 19 unt; 2 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 105 ( 55 ~; 46 |; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 175 ( 0 sgn 175 !; 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(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
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(X0)
| is_a_theorem(X1) ),
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(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
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(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)))
| is_a_theorem(X14) ),
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(f19,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f13,f11]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)))
| is_a_theorem(X5) ),
inference(resolution,[],[f13,f8]) ).
fof(f21,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,[],[f19,f11]) ).
fof(f48,definition,
( spl0_4
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f49,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f70,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(n(X1),X2)))),
inference(resolution,[],[f21,f20]) ).
fof(f76,definition,
( spl0_5
<=> ! [X5,X3,X4,X2,X7,X6,X8,X1] : is_a_theorem(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)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f77,plain,
( ! [X2,X3,X1,X8,X6,X7,X4,X5] : is_a_theorem(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))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f81,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(n(implies(X0,implies(X1,implies(X2,X1)))),X3)),
inference(resolution,[],[f70,f20]) ).
fof(f94,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(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)))
| is_a_theorem(X7) )
| ~ spl0_5 ),
inference(resolution,[],[f77,f8]) ).
fof(f193,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_5 ),
inference(resolution,[],[f94,f12]) ).
fof(f225,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl0_5 ),
inference(resolution,[],[f193,f20]) ).
fof(f226,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)))
| is_a_theorem(X4) )
| ~ spl0_5 ),
inference(resolution,[],[f193,f8]) ).
fof(f228,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_5 ),
inference(resolution,[],[f225,f94]) ).
fof(f235,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_5 ),
inference(resolution,[],[f226,f225]) ).
fof(f248,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) )
| ~ spl0_5 ),
inference(resolution,[],[f235,f8]) ).
fof(f280,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_5 ),
inference(resolution,[],[f228,f8]) ).
fof(f318,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1))
| ~ spl0_5 ),
inference(resolution,[],[f248,f193]) ).
fof(f325,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))
| ~ spl0_5 ),
inference(resolution,[],[f248,f228]) ).
fof(f425,plain,
( ~ is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z))))
| ~ spl0_5 ),
inference(resolution,[],[f280,f10]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) )
| ~ spl0_5 ),
inference(resolution,[],[f280,f8]) ).
fof(f829,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(n(X1),X1),X1),X2)))
| is_a_theorem(implies(X0,X2)) )
| ~ spl0_5 ),
inference(resolution,[],[f436,f318]) ).
fof(f844,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_5 ),
inference(resolution,[],[f436,f228]) ).
fof(f848,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) )
| ~ spl0_5 ),
inference(resolution,[],[f436,f280]) ).
fof(f2208,plain,
( $false
| ~ spl0_4 ),
inference(backward_subsumption_resolution,[],[f81,f49]) ).
fof(f2308,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f2208]) ).
fof(f2389,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(X0)
| is_a_theorem(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,[],[f21,f8]) ).
fof(f2395,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f2389,f48,f76]) ).
fof(f10631,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(n(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_5 ),
inference(resolution,[],[f844,f829]) ).
fof(f10743,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_5 ),
inference(resolution,[],[f848,f228]) ).
fof(f91261,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_5 ),
inference(resolution,[],[f10631,f325]) ).
fof(f129005,plain,
( ~ is_a_theorem(implies(x,implies(implies(x,z),z)))
| ~ spl0_5 ),
inference(resolution,[],[f10743,f425]) ).
fof(f129191,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f129005,f91261]) ).
fof(f129192,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f129191]) ).
cnf(s169,plain,
~ spl0_4,
inference(sat_conversion,[],[f2308]) ).
cnf(s178,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f2395]) ).
cnf(s10493,plain,
~ spl0_5,
inference(sat_conversion,[],[f129192]) ).
cnf(s10494,plain,
spl0_4,
inference(rat,[],[s178,s10493]) ).
cnf(s10496,plain,
$false,
inference(rat,[],[s169,s10494]) ).
fof(f129193,plain,
$false,
inference(avatar_sat_refutation,[],[s10496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL368+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:36:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.18/3.68 % (3681208)Will run a generic schedule for satisfiability detection.
% 22.18/3.68 % (3681218)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1712222995:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 22.18/3.68 % (3681214)% WARNING: option uhcvi not known.
% 22.18/3.68 % (3681215)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=817172783:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 22.18/3.68 % (3681217)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3930908507:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 22.18/3.68 % (3681213)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1879478168_3000 on theBenchmark for (3000ds/0Mi)
% 22.18/3.68 % (3681216)dis+10_1_sil=32000:sp=arity:random_seed=3567949221:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 22.18/3.68 % (3681214)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3828284800:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 22.18/3.68 % TRYING [1]
% 22.18/3.68 % TRYING [2]
% 22.18/3.68 % TRYING [3]
% 22.18/3.68 % (3681219)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=517643999:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 22.18/3.68 % (3681218)Instruction limit reached!
% 22.18/3.68 % (3681218)------------------------------
% 22.18/3.68 % (3681218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.18/3.68 % (3681218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/3.68 % (3681218)CaDiCaL version: 2.1.3
% 22.18/3.68 % (3681218)Termination reason: Instruction limit
% 22.18/3.68 % (3681218)Termination phase: Saturation
% 22.18/3.68 % (3681218)Time elapsed: 0.060 s
% 22.18/3.68 % (3681218)Peak memory usage: 13 MB
% 22.18/3.68 % (3681218)Instructions burned: 132 (million)
% 22.18/3.68 % (3681227)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3433257046:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 22.18/3.68 % TRYING [1]
% 22.18/3.68 % TRYING [2]
% 22.18/3.68 % TRYING [3]
% 22.18/3.68 % (3681216)Instruction limit reached!
% 22.18/3.68 % (3681216)------------------------------
% 22.18/3.68 % (3681216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.18/3.68 % (3681216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/3.68 % (3681216)CaDiCaL version: 2.1.3
% 22.18/3.68 % (3681216)Termination reason: Instruction limit
% 22.18/3.68 % (3681216)Termination phase: Saturation
% 22.18/3.68 % (3681216)Time elapsed: 0.091 s
% 22.18/3.68 % (3681216)Peak memory usage: 12 MB
% 22.18/3.68 % (3681216)Instructions burned: 104 (million)
% 22.18/3.68 % (3681217)Instruction limit reached!
% 22.18/3.68 % (3681217)------------------------------
% 22.18/3.68 % (3681217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.18/3.68 % (3681217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/3.68 % (3681217)CaDiCaL version: 2.1.3
% 22.18/3.68 % (3681217)Termination reason: Instruction limit
% 22.18/3.68 % (3681217)Termination phase: Saturation
% 22.18/3.68 % (3681217)Time elapsed: 0.102 s
% 22.18/3.68 % (3681217)Peak memory usage: 12 MB
% 22.18/3.68 % (3681217)Instructions burned: 116 (million)
% 22.18/3.68 % (3681231)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=16407239:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 22.18/3.69 % (3681230)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=531359762:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 22.18/3.69 % TRYING [4]
% 22.18/3.69 % (3681219)Instruction limit reached!
% 22.18/3.69 % (3681219)------------------------------
% 22.18/3.69 % (3681219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.18/3.69 % (3681219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.18/3.69 % (3681219)CaDiCaL version: 2.1.3
% 22.18/3.69 % (3681219)Termination reason: Instruction limit
% 22.18/3.69 % (3681219)Termination phase: Saturation
% 22.18/3.69 % (3681219)Time elapsed: 0.167 s
% 22.18/3.69 % (3681219)Peak memory usage: 12 MB
% 22.18/3.69 % (3681219)Instructions burned: 159 (million)
% 22.18/3.69 % (3681240)ott-21_1_sil=16000:fs=off:random_seed=409252752:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 22.18/3.69 % TRYING [4]
% 22.18/3.69 % (3681230)Instruction limit reached!
% 22.18/3.69 % (3681230)------------------------------
% 22.18/3.69 % (3681230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.18/3.69 % (3681230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681230)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681230)Termination reason: Instruction limit
% 23.79/3.97 % (3681230)Termination phase: Saturation
% 23.79/3.97 % (3681230)Time elapsed: 0.121 s
% 23.79/3.97 % (3681230)Peak memory usage: 11 MB
% 23.79/3.97 % (3681230)Instructions burned: 131 (million)
% 23.79/3.97 % (3681242)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3348370648:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 23.79/3.97 % (3681240)Instruction limit reached!
% 23.79/3.97 % (3681240)------------------------------
% 23.79/3.97 % (3681240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681240)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681240)Termination reason: Instruction limit
% 23.79/3.97 % (3681240)Termination phase: Saturation
% 23.79/3.97 % (3681240)Time elapsed: 0.145 s
% 23.79/3.97 % (3681240)Peak memory usage: 12 MB
% 23.79/3.97 % (3681240)Instructions burned: 181 (million)
% 23.79/3.97 % (3681248)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2260086221:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 23.79/3.97 % TRYING [1]
% 23.79/3.97 % TRYING [2]
% 23.79/3.97 % TRYING [3]
% 23.79/3.97 % (3681231)Instruction limit reached!
% 23.79/3.97 % (3681231)------------------------------
% 23.79/3.97 % (3681231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681231)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681231)Termination reason: Instruction limit
% 23.79/3.97 % (3681231)Termination phase: Saturation
% 23.79/3.97 % (3681231)Time elapsed: 0.354 s
% 23.79/3.97 % (3681231)Peak memory usage: 17 MB
% 23.79/3.97 % (3681231)Instructions burned: 686 (million)
% 23.79/3.97 % (3681251)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3887733214:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 23.79/3.97 % TRYING [4]
% 23.79/3.97 % (3681227)Instruction limit reached!
% 23.79/3.97 % (3681227)------------------------------
% 23.79/3.97 % (3681227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681227)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681227)Termination reason: Instruction limit
% 23.79/3.97 % (3681227)Termination phase: Finite model building SAT solving
% 23.79/3.97 % (3681227)Time elapsed: 0.583 s
% 23.79/3.97 % (3681227)Peak memory usage: 13 MB
% 23.79/3.97 % (3681227)Instructions burned: 714 (million)
% 23.79/3.97 % (3681256)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3988742916:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 23.79/3.97 % (3681242)Instruction limit reached!
% 23.79/3.97 % (3681242)------------------------------
% 23.79/3.97 % (3681242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681242)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681242)Termination reason: Instruction limit
% 23.79/3.97 % (3681242)Termination phase: Saturation
% 23.79/3.97 % (3681242)Time elapsed: 0.420 s
% 23.79/3.97 % (3681242)Peak memory usage: 13 MB
% 23.79/3.97 % (3681242)Instructions burned: 477 (million)
% 23.79/3.97 % TRYING [14]
% 23.79/3.97 % (3681258)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2627001169:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 23.79/3.97 % (3681251)Instruction limit reached!
% 23.79/3.97 % (3681251)------------------------------
% 23.79/3.97 % (3681251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681251)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681251)Termination reason: Instruction limit
% 23.79/3.97 % (3681251)Termination phase: Saturation
% 23.79/3.97 % (3681251)Time elapsed: 0.566 s
% 23.79/3.97 % (3681251)Peak memory usage: 19 MB
% 23.79/3.97 % (3681251)Instructions burned: 1182 (million)
% 23.79/3.97 % (3681267)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2796609667:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 23.79/3.97 % (3681248)Instruction limit reached!
% 23.79/3.97 % (3681248)------------------------------
% 23.79/3.97 % (3681248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681248)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681248)Termination reason: Instruction limit
% 23.79/3.97 % (3681248)Termination phase: Finite model building SAT solving
% 23.79/3.97 % (3681248)Time elapsed: 0.745 s
% 23.79/3.97 % (3681248)Peak memory usage: 12 MB
% 23.79/3.97 % (3681248)Instructions burned: 865 (million)
% 23.79/3.97 % (3681269)fmb+10_1_sil=64000:random_seed=636542193:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 23.79/3.97 % TRYING [1]
% 23.79/3.97 % TRYING [2]
% 23.79/3.97 % TRYING [3]
% 23.79/3.97 % (3681256)Instruction limit reached!
% 23.79/3.97 % (3681256)------------------------------
% 23.79/3.97 % (3681256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681256)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681256)Termination reason: Instruction limit
% 23.79/3.97 % (3681256)Termination phase: Finite model building constraint generation
% 23.79/3.97 % (3681256)Time elapsed: 0.561 s
% 23.79/3.97 % (3681256)Peak memory usage: 64 MB
% 23.79/3.97 % (3681256)Instructions burned: 890 (million)
% 23.79/3.97 % (3681258)Instruction limit reached!
% 23.79/3.97 % (3681258)------------------------------
% 23.79/3.97 % (3681258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681258)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681258)Termination reason: Instruction limit
% 23.79/3.97 % (3681258)Termination phase: Saturation
% 23.79/3.97 % (3681258)Time elapsed: 0.542 s
% 23.79/3.97 % (3681258)Peak memory usage: 15 MB
% 23.79/3.97 % (3681258)Instructions burned: 693 (million)
% 23.79/3.97 % (3681274)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3676697140:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 23.79/3.97 % TRYING [20]
% 23.79/3.97 % (3681275)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3174878476:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 23.79/3.97 % TRYING [4]
% 23.79/3.97 % TRYING [8]
% 23.79/3.97 % (3681267)Instruction limit reached!
% 23.79/3.97 % (3681267)------------------------------
% 23.79/3.97 % (3681267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681267)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681267)Termination reason: Instruction limit
% 23.79/3.97 % (3681267)Termination phase: Saturation
% 23.79/3.97 % (3681267)Time elapsed: 0.420 s
% 23.79/3.97 % (3681267)Peak memory usage: 20 MB
% 23.79/3.97 % (3681267)Instructions burned: 880 (million)
% 23.79/3.97 % (3681281)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4258746899:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 23.79/3.97 % (3681275)Instruction limit reached!
% 23.79/3.97 % (3681275)------------------------------
% 23.79/3.97 % (3681275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681275)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681275)Termination reason: Instruction limit
% 23.79/3.97 % (3681275)Termination phase: Finite model building SAT solving
% 23.79/3.97 % (3681275)Time elapsed: 0.663 s
% 23.79/3.97 % (3681275)Peak memory usage: 36 MB
% 23.79/3.97 % (3681275)Instructions burned: 920 (million)
% 23.79/3.97 % (3681285)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1453624765:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 23.79/3.97 % (3681285)Instruction limit reached!
% 23.79/3.97 % (3681285)------------------------------
% 23.79/3.97 % (3681285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681285)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681285)Termination reason: Instruction limit
% 23.79/3.97 % (3681285)Termination phase: Saturation
% 23.79/3.97 % (3681285)Time elapsed: 0.870 s
% 23.79/3.97 % (3681285)Peak memory usage: 25 MB
% 23.79/3.97 % (3681285)Instructions burned: 1472 (million)
% 23.79/3.97 % (3681441)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2631025078:i=6324_2971 on theBenchmark for (2971ds/6324Mi)
% 23.79/3.97 % TRYING [77]
% 23.79/3.97 % (3681281)Instruction limit reached!
% 23.79/3.97 % (3681281)------------------------------
% 23.79/3.97 % (3681281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.97 % (3681281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.97 % (3681281)CaDiCaL version: 2.1.3
% 23.79/3.97 % (3681281)Termination reason: Instruction limit
% 23.79/3.97 % (3681281)Termination phase: Saturation
% 23.79/3.97 % (3681281)Time elapsed: 1.673 s
% 23.79/3.97 % (3681281)Peak memory usage: 36 MB
% 23.79/3.97 % (3681281)Instructions burned: 5134 (million)
% 23.79/3.97 % (3681443)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2097725918:fmbsr=2.30978:i=2174_2967 on theBenchmark for (2967ds/2174Mi)
% 23.79/3.97 % TRYING [16]
% 23.79/3.97 % (3681214) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3681208-3681214"...
% 23.79/3.97 % (3681214)...printing done.
% 23.79/3.97 % (3681214)Refutation found. Thanks to Tanya!
% 23.79/3.97 % SZS status Theorem for theBenchmark
% 23.79/3.97 % SZS output start Proof for theBenchmark
% See solution above
% 23.79/3.98 % (3681214)------------------------------
% 23.79/3.98 % (3681214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.79/3.98 % (3681214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.79/3.98 % (3681214)CaDiCaL version: 2.1.3
% 23.79/3.98 % (3681214)Termination reason: Refutation
% 23.79/3.98 % (3681214)Time elapsed: 3.459 s
% 23.79/3.98 % (3681214)Peak memory usage: 47 MB
% 23.79/3.98 % (3681214)Instructions burned: 4849 (million)
% 23.79/3.98 % (3681208)Success in time 3.539 s
% 23.79/3.98 % Vampire exiting
%------------------------------------------------------------------------------