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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL368+1 : 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 : n016.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 23.16s 9.32s
% Output   : Refutation 23.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   48 (  26 unt;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (  33   ~;  28   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :  111 ( 111   !;   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,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_23) ).

fof(f6,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)],[f5]) ).

fof(f7,plain,
    ~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0) ),
    inference(flattening,[],[f8]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f11,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f12,plain,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f13,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    inference(cnf_transformation,[],[f4]) ).

fof(f14,plain,
    ~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
    inference(cnf_transformation,[],[f7]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(not(X0),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f10,f13]) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f11,f10]) ).

fof(f27,plain,
    ~ is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z)))),
    inference(resolution,[],[f17,f14]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f17,f10]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f28,f12]) ).

fof(f30,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))) ),
    inference(resolution,[],[f28,f11]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X3))
      | ~ is_a_theorem(implies(X0,implies(X3,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f28,f17]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X1),X0))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[],[f29,f17]) ).

fof(f36,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f29,f13]) ).

fof(f49,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f30,f10]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,X2)),X4)))
      | is_a_theorem(implies(X0,implies(implies(X3,X1),X4))) ),
    inference(resolution,[],[f31,f11]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
      | is_a_theorem(implies(X0,implies(X1,X3))) ),
    inference(resolution,[],[f31,f13]) ).

fof(f63,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,implies(not(X3),X2)))
      | ~ is_a_theorem(X3) ),
    inference(resolution,[],[f31,f16]) ).

fof(f163,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
    inference(resolution,[],[f59,f36]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(not(X1),X2)))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f63,f13]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f181,f29]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(not(implies(X2,X0)),implies(X2,X0)))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f49,f12]) ).

fof(f216,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(resolution,[],[f189,f12]) ).

fof(f303,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,[],[f57,f11]) ).

fof(f313,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,[],[f57,f36]) ).

fof(f417,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f163,f10]) ).

fof(f434,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
    inference(resolution,[],[f216,f34]) ).

fof(f1340,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,[],[f303,f10]) ).

fof(f1414,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,[],[f313,f10]) ).

fof(f14330,plain,
    ~ is_a_theorem(implies(x,implies(implies(x,z),z))),
    inference(resolution,[],[f1340,f27]) ).

fof(f14413,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[],[f1414,f434]) ).

fof(f14701,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
    inference(resolution,[],[f14413,f1414]) ).

fof(f15537,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
    inference(resolution,[],[f14701,f417]) ).

fof(f15730,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[],[f15537,f59]) ).

fof(f15978,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(resolution,[],[f15730,f189]) ).

fof(f16253,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[],[f15978,f203]) ).

fof(f20313,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f16253,f10]) ).

fof(f22125,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[],[f20313,f14701]) ).

fof(f23363,plain,
    $false,
    inference(resolution,[],[f22125,f14330]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL368+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n016.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 15:41:32 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39  Running first-order model finding
% 0.09/0.39  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
% 28.31/4.50  % (2798078)Will run a generic schedule for satisfiability detection.
% 28.31/4.50  % (2798085)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=608531464:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 28.31/4.50  % (2798084)% WARNING: option uhcvi not known.
% 28.31/4.50  % (2798083)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1351696856_2999 on theBenchmark for (2999ds/0Mi)
% 28.31/4.50  % (2798084)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=247581510:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 28.31/4.50  % (2798086)dis+10_1_sil=32000:sp=arity:random_seed=1634282748:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 28.31/4.50  % (2798087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1910228692:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 28.31/4.50  % (2798089)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1590546606:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 28.31/4.50  % TRYING [1]
% 28.31/4.50  % (2798088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=53717365:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 28.31/4.50  % TRYING [2]
% 28.31/4.50  % TRYING [3]
% 28.31/4.50  % TRYING [4]
% 28.31/4.50  % (2798086)Instruction limit reached! 
% 28.31/4.50  % (2798086)------------------------------
% 28.31/4.50  % (2798086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.31/4.50  % (2798086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.31/4.50  % (2798086)CaDiCaL version: 2.1.3
% 28.31/4.50  % (2798086)Termination reason: Instruction limit
% 28.31/4.50  % (2798086)Termination phase: Saturation
% 28.31/4.50  % (2798086)Time elapsed: 0.065 s
% 28.31/4.50  % (2798086)Peak memory usage: 12 MB
% 28.31/4.50  % (2798086)Instructions burned: 103 (million)
% 28.31/4.50  % (2798087)Instruction limit reached! 
% 28.31/4.50  % (2798087)------------------------------
% 28.31/4.50  % (2798087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.31/4.50  % (2798087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.31/4.50  % (2798087)CaDiCaL version: 2.1.3
% 28.31/4.50  % (2798087)Termination reason: Instruction limit
% 28.31/4.50  % (2798087)Termination phase: Saturation
% 28.31/4.50  % (2798087)Time elapsed: 0.076 s
% 28.31/4.50  % (2798087)Peak memory usage: 12 MB
% 28.31/4.50  % (2798087)Instructions burned: 117 (million)
% 28.31/4.50  % (2798097)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3104365766:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 28.31/4.50  % TRYING [1]
% 28.31/4.50  % TRYING [2]
% 28.31/4.50  % TRYING [3]
% 28.31/4.50  % (2798088)Instruction limit reached! 
% 28.31/4.50  % (2798088)------------------------------
% 28.31/4.50  % (2798088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.31/4.50  % (2798088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.31/4.50  % (2798088)CaDiCaL version: 2.1.3
% 28.31/4.50  % (2798088)Termination reason: Instruction limit
% 28.31/4.50  % (2798088)Termination phase: Saturation
% 28.31/4.50  % (2798088)Time elapsed: 0.086 s
% 28.31/4.50  % (2798088)Peak memory usage: 13 MB
% 28.31/4.50  % (2798088)Instructions burned: 132 (million)
% 28.31/4.50  % (2798098)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1034336704:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 28.31/4.50  % (2798089)Instruction limit reached! 
% 28.31/4.50  % (2798089)------------------------------
% 28.31/4.50  % (2798089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.31/4.50  % (2798089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.31/4.50  % (2798089)CaDiCaL version: 2.1.3
% 28.31/4.50  % (2798089)Termination reason: Instruction limit
% 28.31/4.50  % (2798089)Termination phase: Saturation
% 28.31/4.50  % (2798089)Time elapsed: 0.103 s
% 28.31/4.50  % (2798089)Peak memory usage: 12 MB
% 28.31/4.50  % (2798089)Instructions burned: 161 (million)
% 28.31/4.50  % TRYING [4]
% 28.31/4.50  % (2798100)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=26551307:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 28.31/4.50  % (2798102)ott-21_1_sil=16000:fs=off:random_seed=3069794563:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 28.31/4.50  % (2798098)Instruction limit reached! 
% 28.31/4.50  % (2798098)------------------------------
% 28.31/4.50  % (2798098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.31/4.50  % (2798098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.62/8.40  % (2798098)CaDiCaL version: 2.1.3
% 56.62/8.40  % (2798098)Termination reason: Instruction limit
% 56.62/8.40  % (2798098)Termination phase: Saturation
% 56.62/8.40  % (2798098)Time elapsed: 0.079 s
% 56.62/8.40  % (2798098)Peak memory usage: 12 MB
% 56.62/8.40  % (2798098)Instructions burned: 133 (million)
% 56.62/8.40  % (2798105)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1736571031:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 56.62/8.40  % (2798102)Instruction limit reached! 
% 56.62/8.40  % (2798102)------------------------------
% 56.62/8.40  % (2798102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.62/8.40  % (2798102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.62/8.40  % (2798102)CaDiCaL version: 2.1.3
% 56.62/8.40  % (2798102)Termination reason: Instruction limit
% 56.62/8.40  % (2798102)Termination phase: Saturation
% 56.62/8.40  % (2798102)Time elapsed: 0.092 s
% 56.62/8.40  % (2798102)Peak memory usage: 13 MB
% 56.62/8.40  % (2798102)Instructions burned: 182 (million)
% 56.62/8.40  % (2798107)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3450806412:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 56.62/8.40  % TRYING [1]
% 56.62/8.40  % TRYING [2]
% 56.62/8.40  % TRYING [3]
% 56.62/8.40  % TRYING [4]
% 56.62/8.40  % (2798105)Instruction limit reached! 
% 56.62/8.40  % (2798105)------------------------------
% 56.62/8.40  % (2798105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.62/8.40  % (2798105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.62/8.40  % (2798105)CaDiCaL version: 2.1.3
% 56.62/8.40  % (2798105)Termination reason: Instruction limit
% 56.62/8.40  % (2798105)Termination phase: Saturation
% 56.62/8.40  % (2798105)Time elapsed: 0.285 s
% 56.62/8.40  % (2798105)Peak memory usage: 13 MB
% 56.62/8.40  % (2798105)Instructions burned: 477 (million)
% 56.62/8.40  % (2798097)Instruction limit reached! 
% 56.62/8.40  % (2798097)------------------------------
% 56.62/8.40  % (2798097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.62/8.40  % (2798097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.62/8.40  % (2798097)CaDiCaL version: 2.1.3
% 56.62/8.40  % (2798097)Termination reason: Instruction limit
% 56.62/8.41  % (2798097)Termination phase: Finite model building SAT solving
% 56.62/8.41  % (2798097)Time elapsed: 0.417 s
% 56.62/8.41  % (2798097)Peak memory usage: 12 MB
% 56.62/8.41  % (2798097)Instructions burned: 715 (million)
% 56.62/8.41  % (2798109)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1581267735:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 56.62/8.41  % (2798100)Instruction limit reached! 
% 56.62/8.41  % (2798100)------------------------------
% 56.62/8.41  % (2798100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.62/8.41  % (2798100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.62/8.41  % (2798100)CaDiCaL version: 2.1.3
% 56.62/8.41  % (2798100)Termination reason: Instruction limit
% 56.62/8.41  % (2798100)Termination phase: Saturation
% 56.62/8.41  % (2798100)Time elapsed: 0.408 s
% 56.62/8.41  % (2798100)Peak memory usage: 17 MB
% 56.62/8.41  % (2798100)Instructions burned: 685 (million)
% 56.62/8.41  % (2798110)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=15070053:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 56.62/8.41  % (2798112)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=693311224:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 56.62/8.41  % TRYING [14]
% 56.62/8.41  % TRYING [5]
% 56.62/8.41  % TRYING [5]
% 56.62/8.41  % (2798107)Instruction limit reached! 
% 56.62/8.41  % (2798107)------------------------------
% 56.62/8.41  % (2798107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.62/8.41  % (2798107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.62/8.41  % (2798107)CaDiCaL version: 2.1.3
% 56.62/8.41  % (2798107)Termination reason: Instruction limit
% 56.62/8.41  % (2798107)Termination phase: Finite model building SAT solving
% 56.62/8.41  % (2798107)Time elapsed: 0.520 s
% 56.62/8.41  % (2798107)Peak memory usage: 12 MB
% 56.62/8.41  % (2798107)Instructions burned: 865 (million)
% 56.62/8.41  % (2798115)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1215735706:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 56.62/8.41  % (2798110)Instruction limit reached! 
% 56.62/8.41  % (2798110)------------------------------
% 23.16/9.32  % (2798110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798110)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798110)Termination reason: Instruction limit
% 23.16/9.32  % (2798110)Termination phase: Finite model building constraint generation
% 23.16/9.32  % (2798110)Time elapsed: 0.312 s
% 23.16/9.32  % (2798110)Peak memory usage: 63 MB
% 23.16/9.32  % (2798110)Instructions burned: 890 (million)
% 23.16/9.32  % (2798117)fmb+10_1_sil=64000:random_seed=2248927489:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 23.16/9.32  % TRYING [1]
% 23.16/9.32  % TRYING [2]
% 23.16/9.32  % TRYING [3]
% 23.16/9.32  % TRYING [4]
% 23.16/9.32  % (2798112)Instruction limit reached! 
% 23.16/9.32  % (2798112)------------------------------
% 23.16/9.32  % (2798112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798112)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798112)Termination reason: Instruction limit
% 23.16/9.32  % (2798112)Termination phase: Saturation
% 23.16/9.32  % (2798112)Time elapsed: 0.360 s
% 23.16/9.32  % (2798112)Peak memory usage: 59 MB
% 23.16/9.32  % (2798112)Instructions burned: 692 (million)
% 23.16/9.32  % (2798119)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2343365329:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 23.16/9.32  % TRYING [20]
% 23.16/9.32  % TRYING [5]
% 23.16/9.32  % (2798109)Instruction limit reached! 
% 23.16/9.32  % (2798109)------------------------------
% 23.16/9.32  % (2798109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798109)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798109)Termination reason: Instruction limit
% 23.16/9.32  % (2798109)Termination phase: Saturation
% 23.16/9.32  % (2798109)Time elapsed: 0.699 s
% 23.16/9.32  % (2798109)Peak memory usage: 26 MB
% 23.16/9.32  % (2798109)Instructions burned: 1179 (million)
% 23.16/9.32  % (2798121)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=496544150:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 23.16/9.32  % TRYING [8]
% 23.16/9.32  % (2798115)Instruction limit reached! 
% 23.16/9.32  % (2798115)------------------------------
% 23.16/9.32  % (2798115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798115)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798115)Termination reason: Instruction limit
% 23.16/9.32  % (2798115)Termination phase: Saturation
% 23.16/9.32  % (2798115)Time elapsed: 0.468 s
% 23.16/9.32  % (2798115)Peak memory usage: 16 MB
% 23.16/9.32  % (2798115)Instructions burned: 880 (million)
% 23.16/9.32  % (2798123)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2033625914:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 23.16/9.32  % (2798121)Instruction limit reached! 
% 23.16/9.32  % (2798121)------------------------------
% 23.16/9.32  % (2798121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798121)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798121)Termination reason: Instruction limit
% 23.16/9.32  % (2798121)Termination phase: Finite model building SAT solving
% 23.16/9.32  % (2798121)Time elapsed: 0.508 s
% 23.16/9.32  % (2798121)Peak memory usage: 33 MB
% 23.16/9.32  % (2798121)Instructions burned: 921 (million)
% 23.16/9.32  % (2798125)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3891814187:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 23.16/9.32  % (2798125)Instruction limit reached! 
% 23.16/9.32  % (2798125)------------------------------
% 23.16/9.32  % (2798125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798125)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798125)Termination reason: Instruction limit
% 23.16/9.32  % (2798125)Termination phase: Saturation
% 23.16/9.32  % (2798125)Time elapsed: 0.867 s
% 23.16/9.32  % (2798125)Peak memory usage: 23 MB
% 23.16/9.32  % (2798125)Instructions burned: 1473 (million)
% 23.16/9.32  % (2798127)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3424142272:i=6324_2973 on theBenchmark for (2973ds/6324Mi)
% 23.16/9.32  % TRYING [77]
% 23.16/9.32  % (2798123)Instruction limit reached! 
% 23.16/9.32  % (2798123)------------------------------
% 23.16/9.32  % (2798123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798123)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798123)Termination reason: Instruction limit
% 23.16/9.32  % (2798123)Termination phase: Saturation
% 23.16/9.32  % (2798123)Time elapsed: 2.802 s
% 23.16/9.32  % (2798123)Peak memory usage: 25 MB
% 23.16/9.32  % (2798123)Instructions burned: 5132 (million)
% 23.16/9.32  % (2798129)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1280847943:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 23.16/9.32  % TRYING [16]
% 23.16/9.32  % (2798119)Instruction limit reached! 
% 23.16/9.32  % (2798119)------------------------------
% 23.16/9.32  % (2798119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798119)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798119)Termination reason: Instruction limit
% 23.16/9.32  % (2798119)Termination phase: Finite model building constraint generation
% 23.16/9.32  % (2798119)Time elapsed: 3.998 s
% 23.16/9.32  % (2798119)Peak memory usage: 597 MB
% 23.16/9.32  % (2798119)Instructions burned: 9516 (million)
% 23.16/9.32  % (2798127)Instruction limit reached! 
% 23.16/9.32  % (2798127)------------------------------
% 23.16/9.32  % (2798127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798127)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798127)Termination reason: Instruction limit
% 23.16/9.32  % (2798127)Termination phase: Finite model building constraint generation
% 23.16/9.32  % (2798127)Time elapsed: 2.269 s
% 23.16/9.32  % (2798127)Peak memory usage: 444 MB
% 23.16/9.32  % (2798127)Instructions burned: 6326 (million)
% 23.16/9.32  % (2798129)Instruction limit reached! 
% 23.16/9.32  % (2798129)------------------------------
% 23.16/9.32  % (2798129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798129)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798129)Termination reason: Instruction limit
% 23.16/9.32  % (2798129)Termination phase: Finite model building constraint generation
% 23.16/9.32  % (2798129)Time elapsed: 0.838 s
% 23.16/9.32  % (2798129)Peak memory usage: 156 MB
% 23.16/9.32  % (2798129)Instructions burned: 2175 (million)
% 23.16/9.32  % (2798131)ott-2_1_sil=16000:newcnf=on:random_seed=2955954946:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2950 on theBenchmark for (2950ds/869Mi)
% 23.16/9.32  % (2798133)ott+10_1_sil=32000:tgt=ground:random_seed=341315536:i=5114:av=off_2949 on theBenchmark for (2949ds/5114Mi)
% 23.16/9.32  % (2798134)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3277022997:i=54282_2949 on theBenchmark for (2949ds/54282Mi)
% 23.16/9.32  % TRYING [1]
% 23.16/9.32  % TRYING [2]
% 23.16/9.32  % TRYING [3]
% 23.16/9.32  % TRYING [4]
% 23.16/9.32  % (2798131)Instruction limit reached! 
% 23.16/9.32  % (2798131)------------------------------
% 23.16/9.32  % (2798131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798131)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798131)Termination reason: Instruction limit
% 23.16/9.32  % (2798131)Termination phase: Saturation
% 23.16/9.32  % (2798131)Time elapsed: 0.517 s
% 23.16/9.32  % (2798131)Peak memory usage: 16 MB
% 23.16/9.32  % (2798131)Instructions burned: 869 (million)
% 23.16/9.32  % (2798137)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2560960333:i=3512:aac=none_2944 on theBenchmark for (2944ds/3512Mi)
% 23.16/9.32  % TRYING [5]
% 23.16/9.32  % (2798137)Instruction limit reached! 
% 23.16/9.32  % (2798137)------------------------------
% 23.16/9.32  % (2798137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798137)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798137)Termination reason: Instruction limit
% 23.16/9.32  % (2798137)Termination phase: Saturation
% 23.16/9.32  % (2798137)Time elapsed: 2.393 s
% 23.16/9.32  % (2798137)Peak memory usage: 29 MB
% 23.16/9.32  % (2798137)Instructions burned: 3512 (million)
% 23.16/9.32  % (2798139)dis+21_1_sil=32000:sas=cadical:random_seed=2748863172:i=3773:amm=off_2920 on theBenchmark for (2920ds/3773Mi)
% 23.16/9.32  % (2798133)Instruction limit reached! 
% 23.16/9.32  % (2798133)------------------------------
% 23.16/9.32  % (2798133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798133)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798133)Termination reason: Instruction limit
% 23.16/9.32  % (2798133)Termination phase: Saturation
% 23.16/9.32  % (2798133)Time elapsed: 2.970 s
% 23.16/9.32  % (2798133)Peak memory usage: 40 MB
% 23.16/9.32  % (2798133)Instructions burned: 5115 (million)
% 23.16/9.32  % (2798141)ott+11_1_sil=16000:gs=on:random_seed=1730147934:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2919 on theBenchmark for (2919ds/2251Mi)
% 23.16/9.32  % (2798141) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2798078-2798141"...
% 23.16/9.32  % (2798141)...printing done.
% 23.16/9.32  % (2798141)Refutation found. Thanks to Tanya!
% 23.16/9.32  % SZS status Theorem for theBenchmark
% 23.16/9.32  % SZS output start Proof for theBenchmark
% See solution above
% 23.16/9.32  % (2798141)------------------------------
% 23.16/9.32  % (2798141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/9.32  % (2798141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/9.32  % (2798141)CaDiCaL version: 2.1.3
% 23.16/9.32  % (2798141)Termination reason: Refutation
% 23.16/9.32  % (2798141)Time elapsed: 0.861 s
% 23.16/9.32  % (2798141)Peak memory usage: 24 MB
% 23.16/9.32  % (2798141)Instructions burned: 1445 (million)
% 23.16/9.32  % (2798078)Success in time 8.914 s
% 23.16/9.32  % Vampire exiting
%------------------------------------------------------------------------------