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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC085-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 01:04:36 PM UTC 2026

% Result   : Unsatisfiable 2.31s 0.85s
% Output   : Refutation 2.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   61 (  19 unt;   4 def)
%            Number of atoms       :  137 (  13 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  156 (  80   ~;  72   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

fof(f56,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).

fof(f57,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

fof(f143,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).

fof(f187,axiom,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),X2) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | segmentP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ( nil = sk4
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f214,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f206,f204]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ neq(X0,nil)
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f207,f204,f205]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(equality_resolution,[],[f187]) ).

fof(f247,definition,
    ( spl0_1
  <=> frontsegP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f249,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f256,definition,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f258,plain,
    ( neq(sk3,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f261,definition,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f263,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f264,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f209,f261,f247]) ).

fof(f265,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f208,f261,f256]) ).

fof(f271,definition,
    ( spl0_6
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f272,plain,
    ( ssList(nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f307,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f8,f271]) ).

fof(f311,plain,
    ( ~ ssList(sk4)
    | ~ segmentP(sk4,sk4)
    | ~ segmentP(sk3,sk4) ),
    inference(resolution,[],[f215,f214]) ).

fof(f312,plain,
    ( ~ ssList(sk4)
    | ~ segmentP(sk3,sk4) ),
    inference(forward_subsumption_resolution,[],[f311,f57]) ).

fof(f313,plain,
    ~ segmentP(sk3,sk4),
    inference(forward_subsumption_resolution,[],[f312,f203]) ).

fof(f314,plain,
    ( ~ segmentP(sk3,nil)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f313,f263]) ).

fof(f319,plain,
    ( ~ ssList(sk3)
    | ~ segmentP(sk4,sk3)
    | ~ segmentP(sk3,sk3)
    | ~ spl0_3 ),
    inference(resolution,[],[f258,f215]) ).

fof(f320,plain,
    ( ~ ssList(sk3)
    | ~ segmentP(sk4,sk3)
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f319,f57]) ).

fof(f321,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f320,f202]) ).

fof(f370,plain,
    segmentP(sk3,nil),
    inference(resolution,[],[f56,f202]) ).

fof(f373,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f370,f314]) ).

fof(f374,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f727,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f202]) ).

fof(f1376,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | sk4 = app(sk3,skaf45(sk4,sk3))
    | ~ spl0_1 ),
    inference(resolution,[],[f143,f249]) ).

fof(f1385,plain,
    ( ~ ssList(sk4)
    | sk4 = app(sk3,skaf45(sk4,sk3))
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1376,f202]) ).

fof(f1392,plain,
    ( sk4 = app(sk3,skaf45(sk4,sk3))
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1385,f203]) ).

fof(f2697,plain,
    ! [X0] :
      ( ~ ssList(app(sk3,X0))
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0)
      | segmentP(app(sk3,X0),sk3) ),
    inference(superposition,[],[f230,f727]) ).

fof(f2702,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0)
      | segmentP(app(sk3,X0),sk3) ),
    inference(forward_subsumption_resolution,[],[f2697,f85]) ).

fof(f2706,plain,
    ( ! [X0] :
        ( ~ ssList(sk3)
        | ~ ssList(X0)
        | segmentP(app(sk3,X0),sk3) )
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f2702,f272]) ).

fof(f2709,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(sk3,X0),sk3) )
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f2706,f202]) ).

fof(f10620,plain,
    ( ! [X0,X1] : segmentP(app(sk3,skaf45(X0,X1)),sk3)
    | ~ spl0_6 ),
    inference(resolution,[],[f2709,f51]) ).

fof(f16148,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f10620,f1392]) ).

fof(f16150,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f16148,f321]) ).

fof(f16151,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f16150]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s14,plain,
    spl0_6,
    inference(sat_conversion,[],[f307]) ).

cnf(s16,plain,
    ~ spl0_4,
    inference(sat_conversion,[],[f374]) ).

cnf(s734,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f16151]) ).

cnf(s978,plain,
    spl0_3,
    inference(rat,[],[s4,s16]) ).

cnf(s979,plain,
    ~ spl0_1,
    inference(rat,[],[s734,s14,s978]) ).

cnf(s980,plain,
    $false,
    inference(rat,[],[s3,s16,s979]) ).

fof(f16157,plain,
    $false,
    inference(avatar_sat_refutation,[],[s980]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n003.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 : Mon Sep 28 07:50:12 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/0.85  % (1414207)Will run a generic schedule for satisfiability detection.
% 2.31/0.85  % (1414217)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=800461024:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.31/0.85  % (1414213)% WARNING: option uhcvi not known.
% 2.31/0.85  % (1414212)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=838510858_2999 on theBenchmark for (2999ds/0Mi)
% 2.31/0.85  % (1414214)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1473999579:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.31/0.85  % (1414215)dis+10_1_sil=32000:sp=arity:random_seed=3348816287:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.31/0.85  % (1414216)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2331642065:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.31/0.85  % (1414213)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=50793197:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.31/0.85  % (1414218)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3298833869:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.31/0.85  % TRYING [1]
% 2.31/0.85  % TRYING [2]
% 2.31/0.85  % TRYING [3]
% 2.31/0.85  % (1414217)Instruction limit reached! 
% 2.31/0.85  % (1414217)------------------------------
% 2.31/0.85  % (1414217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85  % (1414217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85  % (1414217)CaDiCaL version: 2.1.3
% 2.31/0.85  % (1414217)Termination reason: Instruction limit
% 2.31/0.85  % (1414217)Termination phase: Saturation
% 2.31/0.85  % (1414217)Time elapsed: 0.038 s
% 2.31/0.85  % (1414217)Peak memory usage: 14 MB
% 2.31/0.85  % (1414217)Instructions burned: 132 (million)
% 2.31/0.85  % TRYING [4]
% 2.31/0.85  % (1414231)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1306561609:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.31/0.85  % (1414215)Instruction limit reached! 
% 2.31/0.85  % (1414215)------------------------------
% 2.31/0.85  % (1414215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85  % (1414215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85  % (1414215)CaDiCaL version: 2.1.3
% 2.31/0.85  % (1414215)Termination reason: Instruction limit
% 2.31/0.85  % (1414215)Termination phase: Saturation
% 2.31/0.85  % (1414215)Time elapsed: 0.060 s
% 2.31/0.85  % (1414215)Peak memory usage: 13 MB
% 2.31/0.85  % (1414215)Instructions burned: 103 (million)
% 2.31/0.85  % TRYING [1]
% 2.31/0.85  % (1414216)Instruction limit reached! 
% 2.31/0.85  % (1414216)------------------------------
% 2.31/0.85  % (1414216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85  % (1414216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85  % (1414216)CaDiCaL version: 2.1.3
% 2.31/0.85  % (1414216)Termination reason: Instruction limit
% 2.31/0.85  % (1414216)Termination phase: Saturation
% 2.31/0.85  % (1414216)Time elapsed: 0.062 s
% 2.31/0.85  % (1414216)Peak memory usage: 13 MB
% 2.31/0.85  % (1414216)Instructions burned: 116 (million)
% 2.31/0.85  % TRYING [2]
% 2.31/0.85  % TRYING [3]
% 2.31/0.85  % (1414240)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3784188481:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.31/0.85  % (1414242)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=795057699:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.31/0.85  % TRYING [4]
% 2.31/0.85  % (1414218)Instruction limit reached! 
% 2.31/0.85  % (1414218)------------------------------
% 2.31/0.85  % (1414218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85  % (1414218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85  % (1414218)CaDiCaL version: 2.1.3
% 2.31/0.85  % (1414218)Termination reason: Instruction limit
% 2.31/0.85  % (1414218)Termination phase: Saturation
% 2.31/0.85  % (1414218)Time elapsed: 0.096 s
% 2.31/0.85  % (1414218)Peak memory usage: 14 MB
% 2.31/0.85  % (1414218)Instructions burned: 159 (million)
% 2.31/0.85  % TRYING [5]
% 2.31/0.85  % (1414267)ott-21_1_sil=16000:fs=off:random_seed=3373926553:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.31/0.85  % TRYING [5]
% 2.31/0.85  % (1414240)Instruction limit reached! 
% 2.31/0.85  % (1414240)------------------------------
% 2.31/0.85  % (1414240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85  % (1414240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85  % (1414240)CaDiCaL version: 2.1.3
% 2.31/0.85  % (1414240)Termination reason: Instruction limit
% 2.31/0.85  % (1414240)Termination phase: Saturation
% 2.31/0.85  % (1414240)Time elapsed: 0.073 s
% 2.31/0.85  % (1414240)Peak memory usage: 14 MB
% 2.31/0.85  % (1414240)Instructions burned: 132 (million)
% 2.31/0.85  % (1414281)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2160719869:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.31/0.85  % (1414267)Instruction limit reached! 
% 2.31/0.85  % (1414267)------------------------------
% 2.31/0.85  % (1414267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85  % (1414267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85  % (1414267)CaDiCaL version: 2.1.3
% 2.31/0.85  % (1414267)Termination reason: Instruction limit
% 2.31/0.85  % (1414267)Termination phase: Saturation
% 2.31/0.85  % (1414267)Time elapsed: 0.092 s
% 2.31/0.85  % (1414267)Peak memory usage: 13 MB
% 2.31/0.85  % (1414267)Instructions burned: 181 (million)
% 2.31/0.85  % TRYING [6]
% 2.31/0.85  % (1414231)Instruction limit reached! 
% 2.31/0.85  % (1414231)------------------------------
% 2.31/0.85  % (1414231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.85  % (1414231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.85  % (1414231)CaDiCaL version: 2.1.3
% 2.31/0.85  % (1414231)Termination reason: Instruction limit
% 2.31/0.85  % (1414231)Termination phase: Finite model building constraint generation
% 2.31/0.85  % (1414231)Time elapsed: 0.179 s
% 2.31/0.85  % (1414231)Peak memory usage: 36 MB
% 2.31/0.85  % (1414231)Instructions burned: 715 (million)
% 2.31/0.85  % (1414283)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=325738563:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.31/0.85  % TRYING [1]
% 2.31/0.85  % TRYING [2]
% 2.31/0.85  % (1414285)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3112429804:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.31/0.85  % TRYING [3]
% 2.31/0.85  % TRYING [6]
% 2.31/0.85  % TRYING [4]
% 2.31/0.85  % TRYING [5]
% 2.31/0.85  % (1414285) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1414207-1414285"...
% 2.31/0.85  % (1414285)...printing done.
% 2.31/0.85  % (1414285)Refutation found. Thanks to Tanya!
% 2.31/0.85  % SZS status Unsatisfiable for theBenchmark
% 2.31/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.86  % (1414285)------------------------------
% 2.31/0.86  % (1414285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.86  % (1414285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.86  % (1414285)CaDiCaL version: 2.1.3
% 2.31/0.86  % (1414285)Termination reason: Refutation
% 2.31/0.86  % (1414285)Time elapsed: 0.168 s
% 2.31/0.86  % (1414285)Peak memory usage: 20 MB
% 2.31/0.86  % (1414285)Instructions burned: 527 (million)
% 2.31/0.86  % (1414207)Success in time 0.443 s
% 2.31/0.86  % Vampire exiting
%------------------------------------------------------------------------------