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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL402-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:52:18 AM UTC 2026

% Result   : Unsatisfiable 12.11s 3.19s
% Output   : Refutation 12.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  31 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   80 (  80   !;   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,
    ! [X2,X0,X1] : 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,negated_conjecture,
    ~ is_a_theorem(implies(not(implies(x,not(y))),y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_68) ).

fof(f7,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
    inference(unit_resulting_resolution,[],[f1,f4,f2]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
    inference(unit_resulting_resolution,[],[f1,f2,f2]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
    inference(unit_resulting_resolution,[],[f1,f8,f8]) ).

fof(f21,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
    inference(unit_resulting_resolution,[],[f1,f4,f12]) ).

fof(f32,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
    inference(unit_resulting_resolution,[],[f1,f2,f3]) ).

fof(f42,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
    inference(unit_resulting_resolution,[],[f1,f12,f32]) ).

fof(f52,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(unit_resulting_resolution,[],[f1,f3,f7]) ).

fof(f75,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
    inference(unit_resulting_resolution,[],[f1,f7,f21]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
    inference(unit_resulting_resolution,[],[f1,f2,f75]) ).

fof(f141,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(unit_resulting_resolution,[],[f1,f42,f90]) ).

fof(f173,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(unit_resulting_resolution,[],[f1,f52,f141]) ).

fof(f191,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(unit_resulting_resolution,[],[f1,f32,f173]) ).

fof(f303,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
    inference(unit_resulting_resolution,[],[f1,f12,f191]) ).

fof(f324,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(unit_resulting_resolution,[],[f1,f90,f303]) ).

fof(f330,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))),
    inference(unit_resulting_resolution,[],[f1,f8,f303]) ).

fof(f370,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(unit_resulting_resolution,[],[f1,f42,f324]) ).

fof(f537,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
    inference(unit_resulting_resolution,[],[f1,f370,f330]) ).

fof(f592,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
    inference(unit_resulting_resolution,[],[f1,f42,f537]) ).

fof(f605,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(unit_resulting_resolution,[],[f1,f7,f592]) ).

fof(f657,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
    inference(unit_resulting_resolution,[],[f1,f12,f605]) ).

fof(f659,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
    inference(unit_resulting_resolution,[],[f1,f2,f605]) ).

fof(f675,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))),
    inference(unit_resulting_resolution,[],[f1,f370,f659]) ).

fof(f786,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),implies(X1,X2)),X3),implies(implies(X1,X0),X3))),
    inference(unit_resulting_resolution,[],[f1,f2,f657]) ).

fof(f938,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
    inference(unit_resulting_resolution,[],[f1,f3,f786]) ).

fof(f978,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(unit_resulting_resolution,[],[f1,f303,f938]) ).

fof(f1037,plain,
    ~ is_a_theorem(implies(not(implies(x,not(y))),implies(not(y),y))),
    inference(unit_resulting_resolution,[],[f1,f5,f978]) ).

fof(f1093,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1037,f675]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LCL402-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.46  % Computer : n001.cluster.edu
% 0.21/0.46  % Model    : x86_64 x86_64
% 0.21/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46  % Memory   : 8046.5625MB
% 0.21/0.46  % OS       : Linux 6.8.0-71-generic
% 0.21/0.46  % CPULimit : 300
% 0.21/0.46  % WCLimit  : 300
% 0.21/0.46  % DateTime : Sun Sep 27 15:46:01 UTC 2026
% 0.21/0.47  % CPUTime  : 
% 0.21/0.47  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.52  Running first-order theorem proving
% 0.24/0.52  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
% 9.27/2.82  % (3737224)Input is clausal, will run a generic CNF schedule.
% 9.27/2.82  % (3737238)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1015149882:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.27/2.82  % (3737242)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2066632689:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.27/2.82  % (3737240)lrs+10_1_sil=8000:sp=occurrence:random_seed=3597232211:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.27/2.82  % (3737241)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=291963740:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.27/2.82  % (3737237)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=2591361355:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.27/2.82  % (3737239)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2752778280:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.27/2.82  % (3737243)dis-21_1_sil=8000:lcm=predicate:random_seed=4173414160: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)
% 9.27/2.82  % (3737241)Instruction limit reached! 
% 9.27/2.82  % (3737241)------------------------------
% 9.27/2.82  % (3737241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.82  % (3737241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.82  % (3737241)CaDiCaL version: 2.1.3
% 9.27/2.82  % (3737241)Termination reason: Instruction limit
% 9.27/2.82  % (3737241)Termination phase: Saturation
% 9.27/2.82  % (3737241)Time elapsed: 0.109 s
% 9.27/2.82  % (3737241)Peak memory usage: 88 MB
% 9.27/2.82  % (3737241)Instructions burned: 115 (million)
% 9.27/2.82  % (3737240)Instruction limit reached! 
% 9.27/2.82  % (3737240)------------------------------
% 9.27/2.82  % (3737240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.82  % (3737240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.82  % (3737240)CaDiCaL version: 2.1.3
% 9.27/2.82  % (3737240)Termination reason: Instruction limit
% 9.27/2.82  % (3737240)Termination phase: Saturation
% 9.27/2.82  % (3737240)Time elapsed: 0.111 s
% 9.27/2.82  % (3737240)Peak memory usage: 88 MB
% 9.27/2.82  % (3737240)Instructions burned: 107 (million)
% 9.27/2.82  % (3737243)Instruction limit reached! 
% 9.27/2.82  % (3737243)------------------------------
% 9.27/2.82  % (3737243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.82  % (3737243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.82  % (3737243)CaDiCaL version: 2.1.3
% 9.27/2.82  % (3737243)Termination reason: Instruction limit
% 9.27/2.82  % (3737243)Termination phase: Saturation
% 9.27/2.82  % (3737243)Time elapsed: 0.116 s
% 9.27/2.82  % (3737243)Peak memory usage: 88 MB
% 9.27/2.82  % (3737243)Instructions burned: 117 (million)
% 9.27/2.82  % (3737242)Instruction limit reached! 
% 9.27/2.82  % (3737242)------------------------------
% 9.27/2.82  % (3737242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.82  % (3737242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.82  % (3737242)CaDiCaL version: 2.1.3
% 9.27/2.82  % (3737242)Termination reason: Instruction limit
% 9.27/2.82  % (3737242)Termination phase: Saturation
% 9.27/2.82  % (3737242)Time elapsed: 0.183 s
% 9.27/2.82  % (3737242)Peak memory usage: 89 MB
% 9.27/2.82  % (3737242)Instructions burned: 181 (million)
% 9.27/2.82  % (3737251)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=408328739:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 9.27/2.82  % (3737251)Refutation not found, incomplete strategy
% 9.27/2.82  % (3737251)------------------------------
% 9.27/2.82  % (3737251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.82  % (3737251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.82  % (3737251)CaDiCaL version: 2.1.3
% 9.27/2.82  % (3737251)Termination reason: Refutation not found, incomplete strategy
% 9.27/2.82  % (3737251)Time elapsed: 0.002 s
% 9.27/2.82  % (3737251)Peak memory usage: 87 MB
% 9.27/2.82  % (3737252)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4000645729:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 12.11/3.19  % (3737253)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3555583458:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 12.11/3.19  % (3737253)Refutation not found, incomplete strategy
% 12.11/3.19  % (3737253)------------------------------
% 12.11/3.19  % (3737253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.11/3.19  % (3737253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/3.19  % (3737253)CaDiCaL version: 2.1.3
% 12.11/3.19  % (3737253)Termination reason: Refutation not found, incomplete strategy
% 12.11/3.19  % (3737253)Time elapsed: 0.001 s
% 12.11/3.19  % (3737253)Peak memory usage: 87 MB
% 12.11/3.19  % (3737254)lrs+10_64_to=lpo:sil=8000:random_seed=3727936810:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 12.11/3.19  % (3737254)Instruction limit reached! 
% 12.11/3.19  % (3737254)------------------------------
% 12.11/3.19  % (3737254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.11/3.19  % (3737252)Instruction limit reached! 
% 12.11/3.19  % (3737252)------------------------------
% 12.11/3.19  % (3737252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.11/3.19  % (3737254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/3.19  % (3737252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/3.19  % (3737252)CaDiCaL version: 2.1.3
% 12.11/3.19  % (3737254)CaDiCaL version: 2.1.3
% 12.11/3.19  % (3737252)Termination reason: Instruction limit
% 12.11/3.19  % (3737252)Termination phase: Saturation
% 12.11/3.19  % (3737254)Termination reason: Instruction limit
% 12.11/3.19  % (3737254)Termination phase: Saturation
% 12.11/3.19  % (3737252)Time elapsed: 0.182 s
% 12.11/3.19  % (3737254)Time elapsed: 0.123 s
% 12.11/3.19  % (3737252)Peak memory usage: 89 MB
% 12.11/3.19  % (3737254)Peak memory usage: 88 MB
% 12.11/3.19  % (3737252)Instructions burned: 190 (million)
% 12.11/3.19  % (3737254)Instructions burned: 127 (million)
% 12.11/3.19  % (3737251)------------------------------
% 12.11/3.19  % (3737251)------------------------------
% 12.11/3.19  % (3737253)------------------------------
% 12.11/3.19  % (3737253)------------------------------
% 12.11/3.19  % (3737238)First to succeed.
% 12.11/3.19  % (3737238)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3737224"
% 12.11/3.19  % (3737260)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1987458407:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 12.11/3.19  % (3737259)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3769914332:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 12.11/3.19  % (3737260)Instruction limit reached! 
% 12.11/3.19  % (3737260)------------------------------
% 12.11/3.19  % (3737260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.11/3.19  % (3737260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/3.19  % (3737260)CaDiCaL version: 2.1.3
% 12.11/3.19  % (3737260)Termination reason: Instruction limit
% 12.11/3.19  % (3737260)Termination phase: Saturation
% 12.11/3.19  % (3737260)Time elapsed: 0.162 s
% 12.11/3.19  % (3737260)Peak memory usage: 90 MB
% 12.11/3.19  % (3737260)Instructions burned: 157 (million)
% 12.11/3.19  % (3737259)Instruction limit reached! 
% 12.11/3.19  % (3737259)------------------------------
% 12.11/3.19  % (3737259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.11/3.19  % (3737259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/3.19  % (3737259)CaDiCaL version: 2.1.3
% 12.11/3.19  % (3737259)Termination reason: Instruction limit
% 12.11/3.19  % (3737259)Termination phase: Saturation
% 12.11/3.19  % (3737259)Time elapsed: 0.205 s
% 12.11/3.19  % (3737259)Peak memory usage: 89 MB
% 12.11/3.19  % (3737259)Instructions burned: 194 (million)
% 12.11/3.19  % (3737261)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1592660294:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 12.11/3.19  % (3737262)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2667810710:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 12.11/3.19  % (3737262)Instruction limit reached! 
% 12.11/3.19  % (3737262)------------------------------
% 12.11/3.19  % (3737262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.11/3.19  % (3737262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/3.19  % (3737262)CaDiCaL version: 2.1.3
% 12.11/3.19  % (3737262)Termination reason: Instruction limit
% 12.11/3.19  % (3737262)Termination phase: Saturation
% 12.11/3.19  % (3737262)Time elapsed: 0.095 s
% 12.11/3.19  % (3737262)Peak memory usage: 88 MB
% 12.11/3.19  % (3737262)Instructions burned: 106 (million)
% 12.11/3.19  % (3737238)Refutation found. Thanks to Tanya!
% 12.11/3.19  % SZS status Unsatisfiable for theBenchmark
% 12.11/3.19  % SZS output start Proof for theBenchmark
% See solution above
% 12.11/3.19  % (3737238)------------------------------
% 12.11/3.19  % (3737238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.11/3.19  % (3737238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/3.19  % (3737238)CaDiCaL version: 2.1.3
% 12.11/3.19  % (3737238)Termination reason: Refutation
% 12.11/3.19  % (3737238)Time elapsed: 0.893 s
% 12.11/3.19  % (3737238)Peak memory usage: 130 MB
% 12.11/3.19  % (3737238)Instructions burned: 1200 (million)
% 12.11/3.19  % (3737238)------------------------------
% 12.11/3.19  % (3737238)------------------------------
% 12.11/3.19  % (3737224)Success in time 1.561 s
% 12.11/3.19  % Vampire exiting
%------------------------------------------------------------------------------