↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : FLD008-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 09:48:58 AM UTC 2026

% Result   : Unsatisfiable 5.20s 1.63s
% Output   : Refutation 5.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   75 (  15 unt;   4 def)
%            Number of atoms       :  183 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  213 ( 105   ~; 104   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   61 (   0 sgn  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X4,X5,X2)
      | ~ sum(X0,X3,X4)
      | ~ sum(X3,X5,X1)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X4,X1,X5)
      | ~ sum(X3,X4,X0)
      | sum(X0,X1,X2)
      | ~ sum(X3,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f4,axiom,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ sum(X1,X0,X2)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).

fof(f15,axiom,
    ! [X0] :
      ( defined(additive_inverse(X0))
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).

fof(f29,axiom,
    defined(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).

fof(f31,negated_conjecture,
    sum(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).

fof(f32,negated_conjecture,
    sum(additive_inverse(a),additive_inverse(b),d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).

fof(f33,negated_conjecture,
    ~ sum(additive_identity,additive_inverse(c),d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).

fof(f35,plain,
    sum(additive_inverse(b),additive_inverse(a),d),
    inference(resolution,[],[f5,f32]) ).

fof(f36,plain,
    ! [X0] :
      ( sum(X0,additive_inverse(X0),additive_identity)
      | ~ defined(X0) ),
    inference(resolution,[],[f5,f4]) ).

fof(f37,plain,
    ! [X0] :
      ( sum(X0,additive_identity,X0)
      | ~ defined(X0) ),
    inference(resolution,[],[f5,f3]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X1,X2,X3)
      | ~ sum(X0,X1,additive_identity)
      | sum(X0,X3,X2)
      | ~ defined(X2) ),
    inference(resolution,[],[f1,f3]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X1,additive_inverse(b),X2)
      | ~ sum(X0,X1,additive_inverse(a))
      | sum(X0,X2,d) ),
    inference(resolution,[],[f1,f32]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X0,X1,additive_inverse(X2))
      | ~ sum(X1,X2,X3)
      | sum(X0,X3,additive_identity)
      | ~ defined(X2) ),
    inference(resolution,[],[f1,f4]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X0,additive_inverse(a),X1)
      | sum(X1,additive_inverse(b),X2)
      | ~ sum(X0,d,X2) ),
    inference(resolution,[],[f2,f32]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X0,additive_inverse(b),X1)
      | sum(X1,additive_inverse(a),X2)
      | ~ sum(X0,d,X2) ),
    inference(resolution,[],[f2,f35]) ).

fof(f49,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X0,additive_inverse(X1),X2)
      | sum(X2,X1,X3)
      | ~ sum(X0,additive_identity,X3)
      | ~ defined(X1) ),
    inference(resolution,[],[f2,f4]) ).

fof(f67,definition,
    ( spl0_1
  <=> defined(additive_inverse(b)) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f68,plain,
    ( defined(additive_inverse(b))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f69,plain,
    ( ~ defined(additive_inverse(b))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f78,plain,
    ( ~ defined(b)
    | spl0_1 ),
    inference(resolution,[],[f69,f15]) ).

fof(f79,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f78,f28]) ).

fof(f80,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f79]) ).

fof(f81,plain,
    ! [X0] :
      ( sum(additive_inverse(a),additive_inverse(b),X0)
      | ~ sum(additive_identity,d,X0)
      | ~ defined(additive_inverse(a)) ),
    inference(resolution,[],[f47,f3]) ).

fof(f85,definition,
    ( spl0_4
  <=> defined(additive_inverse(a)) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f86,plain,
    ( defined(additive_inverse(a))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f87,plain,
    ( ~ defined(additive_inverse(a))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f93,definition,
    ( spl0_6
  <=> ! [X0] :
        ( sum(additive_inverse(a),additive_inverse(b),X0)
        | ~ sum(additive_identity,d,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f94,plain,
    ( ! [X0] :
        ( sum(additive_inverse(a),additive_inverse(b),X0)
        | ~ sum(additive_identity,d,X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f95,plain,
    ( ~ spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f81,f93,f85]) ).

fof(f99,plain,
    ( ~ defined(a)
    | spl0_4 ),
    inference(resolution,[],[f87,f15]) ).

fof(f100,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f99,f27]) ).

fof(f101,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f100]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ sum(X0,X1,additive_identity)
      | sum(X0,additive_identity,additive_inverse(X1))
      | ~ defined(additive_inverse(X1))
      | ~ defined(X1) ),
    inference(resolution,[],[f39,f36]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ sum(X0,additive_inverse(b),additive_identity)
      | sum(X0,d,additive_inverse(a))
      | ~ defined(additive_inverse(a)) ),
    inference(resolution,[],[f39,f35]) ).

fof(f121,plain,
    ( ! [X0] :
        ( ~ sum(X0,additive_inverse(b),additive_identity)
        | sum(X0,d,additive_inverse(a)) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f113,f86]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( sum(X0,additive_identity,additive_inverse(X1))
      | ~ sum(X0,X1,additive_identity)
      | ~ defined(X1) ),
    inference(forward_subsumption_resolution,[],[f110,f15]) ).

fof(f146,plain,
    ! [X0] :
      ( sum(d,a,X0)
      | ~ sum(additive_inverse(b),additive_identity,X0)
      | ~ defined(a) ),
    inference(resolution,[],[f49,f35]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ sum(additive_inverse(b),additive_identity,X0)
      | sum(d,a,X0) ),
    inference(forward_subsumption_resolution,[],[f146,f27]) ).

fof(f208,plain,
    ( sum(d,a,additive_inverse(b))
    | ~ defined(additive_inverse(b)) ),
    inference(resolution,[],[f150,f37]) ).

fof(f209,plain,
    ( sum(d,a,additive_inverse(b))
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f208,f68]) ).

fof(f210,plain,
    ( ! [X0] :
        ( ~ sum(a,b,X0)
        | sum(d,X0,additive_identity)
        | ~ defined(b) )
    | ~ spl0_1 ),
    inference(resolution,[],[f209,f41]) ).

fof(f216,plain,
    ( ! [X0] :
        ( ~ sum(a,b,X0)
        | sum(d,X0,additive_identity) )
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f210,f28]) ).

fof(f240,plain,
    ( ! [X0,X1] :
        ( ~ sum(X1,additive_inverse(a),additive_inverse(a))
        | ~ sum(additive_identity,d,X0)
        | sum(X1,X0,d) )
    | ~ spl0_6 ),
    inference(resolution,[],[f94,f40]) ).

fof(f262,plain,
    ( sum(additive_inverse(additive_inverse(b)),d,additive_inverse(a))
    | ~ defined(additive_inverse(b))
    | ~ spl0_4 ),
    inference(resolution,[],[f121,f4]) ).

fof(f263,plain,
    ( sum(additive_inverse(additive_inverse(b)),d,additive_inverse(a))
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f262,f68]) ).

fof(f348,plain,
    ! [X0] :
      ( sum(additive_identity,additive_inverse(a),X0)
      | ~ sum(additive_inverse(additive_inverse(b)),d,X0)
      | ~ defined(additive_inverse(b)) ),
    inference(resolution,[],[f48,f4]) ).

fof(f350,plain,
    ( ! [X0] :
        ( ~ sum(additive_inverse(additive_inverse(b)),d,X0)
        | sum(additive_identity,additive_inverse(a),X0) )
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f348,f68]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( sum(additive_identity,X0,additive_inverse(X1))
      | ~ defined(X1)
      | ~ sum(X0,X1,additive_identity) ),
    inference(resolution,[],[f123,f5]) ).

fof(f521,plain,
    ( sum(d,c,additive_identity)
    | ~ spl0_1 ),
    inference(resolution,[],[f216,f31]) ).

fof(f736,plain,
    ( sum(additive_identity,additive_inverse(a),additive_inverse(a))
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f350,f263]) ).

fof(f906,plain,
    ( ! [X0] :
        ( ~ sum(additive_identity,d,X0)
        | sum(additive_identity,X0,d) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f240,f736]) ).

fof(f1513,definition,
    ( spl0_93
  <=> sum(additive_identity,d,additive_inverse(c)) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f1514,plain,
    ( sum(additive_identity,d,additive_inverse(c))
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f1513]) ).

fof(f1515,plain,
    ( ~ sum(additive_identity,d,additive_inverse(c))
    | spl0_93 ),
    inference(avatar_component_clause,[],[f1513]) ).

fof(f2643,plain,
    ( ~ defined(c)
    | ~ sum(d,c,additive_identity)
    | spl0_93 ),
    inference(resolution,[],[f395,f1515]) ).

fof(f2692,plain,
    ( ~ sum(d,c,additive_identity)
    | spl0_93 ),
    inference(forward_subsumption_resolution,[],[f2643,f29]) ).

fof(f2732,plain,
    ( $false
    | ~ spl0_1
    | spl0_93 ),
    inference(forward_subsumption_resolution,[],[f2692,f521]) ).

fof(f2733,plain,
    ( ~ spl0_1
    | spl0_93 ),
    inference(avatar_contradiction_clause,[],[f2732]) ).

fof(f3036,plain,
    ( sum(additive_identity,additive_inverse(c),d)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_93 ),
    inference(resolution,[],[f1514,f906]) ).

fof(f3048,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_93 ),
    inference(forward_subsumption_resolution,[],[f3036,f33]) ).

fof(f3049,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_93 ),
    inference(avatar_contradiction_clause,[],[f3048]) ).

cnf(s3,plain,
    spl0_1,
    inference(sat_conversion,[],[f80]) ).

cnf(s5,plain,
    ( ~ spl0_4
    | spl0_6 ),
    inference(sat_conversion,[],[f95]) ).

cnf(s6,plain,
    spl0_4,
    inference(sat_conversion,[],[f101]) ).

cnf(s141,plain,
    ( ~ spl0_1
    | spl0_93 ),
    inference(sat_conversion,[],[f2733]) ).

cnf(s154,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f3049]) ).

cnf(s162,plain,
    spl0_6,
    inference(rat,[],[s5,s6]) ).

cnf(s164,plain,
    ~ spl0_93,
    inference(rat,[],[s154,s162,s6,s3]) ).

cnf(s165,plain,
    $false,
    inference(rat,[],[s141,s164,s3]) ).

fof(f3050,plain,
    $false,
    inference(avatar_sat_refutation,[],[s165]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : FLD008-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  % Computer : n010.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Tue Sep 29 00:22:47 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22  Running first-order theorem proving
% 0.10/0.22  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
% 4.16/1.34  % (2510350)Input is clausal, will run a generic CNF schedule.
% 4.16/1.34  % (2510428)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=719166085:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.16/1.34  % (2510434)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=411009940:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.16/1.34  % (2510430)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2948288007:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.16/1.34  % (2510433)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2509719683:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.16/1.34  % (2510427)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=1684464918:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.16/1.34  % (2510436)dis-21_1_sil=8000:lcm=predicate:random_seed=1407826164:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.16/1.34  % (2510431)lrs+10_1_sil=8000:sp=occurrence:random_seed=2524977546:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.16/1.34  % (2510433)Instruction limit reached! 
% 4.16/1.34  % (2510433)------------------------------
% 4.16/1.34  % (2510433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.34  % (2510433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.34  % (2510433)CaDiCaL version: 2.1.3
% 4.16/1.34  % (2510433)Termination reason: Instruction limit
% 4.16/1.34  % (2510433)Termination phase: Saturation
% 4.16/1.34  % (2510433)Time elapsed: 0.073 s
% 4.16/1.34  % (2510433)Peak memory usage: 88 MB
% 4.16/1.34  % (2510433)Instructions burned: 115 (million)
% 4.16/1.34  % (2510431)First to succeed.
% 4.16/1.34  % (2510431)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2510350"
% 4.16/1.34  % (2510436)Instruction limit reached! 
% 4.16/1.34  % (2510436)------------------------------
% 4.16/1.34  % (2510436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.34  % (2510436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.34  % (2510436)CaDiCaL version: 2.1.3
% 4.16/1.34  % (2510436)Termination reason: Instruction limit
% 4.16/1.34  % (2510436)Termination phase: Saturation
% 4.16/1.34  % (2510436)Time elapsed: 0.077 s
% 4.16/1.34  % (2510436)Peak memory usage: 89 MB
% 4.16/1.34  % (2510436)Instructions burned: 118 (million)
% 4.16/1.34  % (2510434)Instruction limit reached! 
% 4.16/1.34  % (2510434)------------------------------
% 4.16/1.34  % (2510434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.34  % (2510434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.34  % (2510434)CaDiCaL version: 2.1.3
% 4.16/1.34  % (2510434)Termination reason: Instruction limit
% 4.16/1.34  % (2510434)Termination phase: Saturation
% 4.16/1.34  % (2510434)Time elapsed: 0.111 s
% 4.16/1.34  % (2510434)Peak memory usage: 89 MB
% 4.16/1.34  % (2510434)Instructions burned: 181 (million)
% 4.16/1.34  % (2510492)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3181346651:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.16/1.34  % (2510483)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3436709634:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.16/1.34  % (2510491)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1311408366:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.16/1.34  % (2510491)Also succeeded, but the first one will report.
% 4.16/1.34  % (2510428)Also succeeded, but the first one will report.
% 4.16/1.34  % (2510483)Instruction limit reached! 
% 4.16/1.34  % (2510483)------------------------------
% 4.16/1.34  % (2510483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.34  % (2510483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.34  % (2510483)CaDiCaL version: 2.1.3
% 4.16/1.34  % (2510483)Termination reason: Instruction limit
% 4.16/1.34  % (2510483)Termination phase: Saturation
% 4.16/1.34  % (2510483)Time elapsed: 0.126 s
% 4.16/1.34  % (2510483)Peak memory usage: 89 MB
% 5.20/1.63  % (2510483)Instructions burned: 144 (million)
% 5.20/1.63  % (2510431)Refutation found. Thanks to Tanya!
% 5.20/1.63  % SZS status Unsatisfiable for theBenchmark
% 5.20/1.63  % SZS output start Proof for theBenchmark
% See solution above
% 5.20/1.63  % (2510431)------------------------------
% 5.20/1.63  % (2510431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.63  % (2510431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.63  % (2510431)CaDiCaL version: 2.1.3
% 5.20/1.63  % (2510431)Termination reason: Refutation
% 5.20/1.63  % (2510431)Time elapsed: 0.064 s
% 5.20/1.63  % (2510431)Peak memory usage: 90 MB
% 5.20/1.63  % (2510431)Instructions burned: 97 (million)
% 5.20/1.63  % (2510431)------------------------------
% 5.20/1.63  % (2510431)------------------------------
% 5.20/1.63  % (2510350)Success in time 0.674 s
% 5.20/1.63  % Vampire exiting
%------------------------------------------------------------------------------