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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : RNG006-3 : TPTP v9.3.1. Released v1.0.0.
% 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 12:35:05 PM UTC 2026

% Result   : Unsatisfiable 13.18s 3.39s
% Output   : Refutation 13.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   21 (  17 unt;   0 def)
%            Number of atoms       :   31 (   2 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).

fof(f2,axiom,
    ! [X0] : sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).

fof(f6,axiom,
    ! [X0] : sum(X0,additive_inverse(X0),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X2,X3,X5)
      | ~ sum(X1,X3,X4)
      | ~ sum(X0,X1,X2)
      | sum(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( ~ sum(X0,X1,X2)
      | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ product(X0,X5,X6)
      | ~ product(X0,X3,X4)
      | ~ sum(X1,X3,X5)
      | ~ product(X0,X1,X2)
      | sum(X2,X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X0,X1,X3)
      | ~ sum(X0,X1,X2)
      | X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).

fof(f18,axiom,
    sum(b,additive_inverse(c),bS_Ic),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_inverse_c) ).

fof(f19,axiom,
    product(a,b,aPb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).

fof(f20,axiom,
    product(a,c,aPc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c) ).

fof(f21,axiom,
    sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aPb_plus_IaPc) ).

fof(f22,negated_conjecture,
    ~ product(a,bS_Ic,aPb_S_IaPc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_times_bS_Ic_is_aPb_S__IaPc) ).

fof(f33,plain,
    sum(additive_inverse(c),b,bS_Ic),
    inference(unit_resulting_resolution,[],[f9,f18]) ).

fof(f581,plain,
    sum(c,bS_Ic,b),
    inference(unit_resulting_resolution,[],[f7,f33,f6,f1]) ).

fof(f1004,plain,
    sum(aPc,multiply(a,bS_Ic),aPb),
    inference(unit_resulting_resolution,[],[f12,f19,f20,f3,f581]) ).

fof(f1073,plain,
    sum(multiply(a,bS_Ic),aPc,aPb),
    inference(unit_resulting_resolution,[],[f9,f1004]) ).

fof(f1188,plain,
    sum(multiply(a,bS_Ic),additive_identity,aPb_S_IaPc),
    inference(unit_resulting_resolution,[],[f7,f6,f21,f1073]) ).

fof(f1303,plain,
    aPb_S_IaPc = multiply(a,bS_Ic),
    inference(unit_resulting_resolution,[],[f16,f2,f1188]) ).

fof(f1344,plain,
    product(a,bS_Ic,aPb_S_IaPc),
    inference(superposition,[],[f3,f1303]) ).

fof(f1345,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1344,f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : RNG006-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48  % Computer : n010.cluster.edu
% 0.23/0.48  % Model    : x86_64 x86_64
% 0.23/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48  % Memory   : 8046.5625MB
% 0.23/0.48  % OS       : Linux 6.8.0-71-generic
% 0.23/0.48  % CPULimit : 300
% 0.23/0.48  % WCLimit  : 300
% 0.23/0.48  % DateTime : Sun Sep 27 22:58:32 UTC 2026
% 0.23/0.49  % CPUTime  : 
% 0.23/0.49  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.55  Running first-order theorem proving
% 0.26/0.55  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
% 10.41/3.02  % (1399364)Input is clausal, will run a generic CNF schedule.
% 10.41/3.02  % (1399374)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1247922320:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.41/3.02  % (1399370)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1682690103:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.41/3.02  % (1399369)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=2866510234:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.41/3.02  % (1399372)lrs+10_1_sil=8000:sp=occurrence:random_seed=3573913333:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.41/3.02  % (1399371)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1626369740:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.41/3.02  % (1399373)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3323577253:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.41/3.02  % (1399375)dis-21_1_sil=8000:lcm=predicate:random_seed=151607550: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)
% 10.41/3.02  % (1399374)Instruction limit reached! 
% 10.41/3.02  % (1399374)------------------------------
% 10.41/3.02  % (1399374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/3.02  % (1399374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/3.02  % (1399374)CaDiCaL version: 2.1.3
% 10.41/3.02  % (1399374)Termination reason: Instruction limit
% 10.41/3.02  % (1399374)Termination phase: Saturation
% 10.41/3.02  % (1399374)Time elapsed: 0.087 s
% 10.41/3.02  % (1399374)Peak memory usage: 89 MB
% 10.41/3.02  % (1399374)Instructions burned: 181 (million)
% 10.41/3.02  % (1399372)Instruction limit reached! 
% 10.41/3.02  % (1399372)------------------------------
% 10.41/3.02  % (1399372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/3.02  % (1399372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/3.02  % (1399372)CaDiCaL version: 2.1.3
% 10.41/3.02  % (1399372)Termination reason: Instruction limit
% 10.41/3.02  % (1399372)Termination phase: Saturation
% 10.41/3.02  % (1399372)Time elapsed: 0.108 s
% 10.41/3.02  % (1399372)Peak memory usage: 89 MB
% 10.41/3.02  % (1399372)Instructions burned: 107 (million)
% 10.41/3.02  % (1399373)Instruction limit reached! 
% 10.41/3.02  % (1399373)------------------------------
% 10.41/3.02  % (1399373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/3.02  % (1399373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/3.02  % (1399373)CaDiCaL version: 2.1.3
% 10.41/3.02  % (1399373)Termination reason: Instruction limit
% 10.41/3.02  % (1399373)Termination phase: Saturation
% 10.41/3.02  % (1399373)Time elapsed: 0.100 s
% 10.41/3.02  % (1399373)Peak memory usage: 88 MB
% 10.41/3.02  % (1399373)Instructions burned: 114 (million)
% 10.41/3.02  % (1399375)Instruction limit reached! 
% 10.41/3.02  % (1399375)------------------------------
% 10.41/3.02  % (1399375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/3.02  % (1399375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/3.02  % (1399375)CaDiCaL version: 2.1.3
% 10.41/3.02  % (1399375)Termination reason: Instruction limit
% 10.41/3.02  % (1399375)Termination phase: Saturation
% 10.41/3.02  % (1399375)Time elapsed: 0.098 s
% 10.41/3.02  % (1399375)Peak memory usage: 88 MB
% 10.41/3.02  % (1399375)Instructions burned: 117 (million)
% 10.41/3.02  % (1399383)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=802107108:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.41/3.02  % (1399383)Instruction limit reached! 
% 10.41/3.02  % (1399383)------------------------------
% 10.41/3.02  % (1399383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/3.02  % (1399383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/3.02  % (1399383)CaDiCaL version: 2.1.3
% 10.41/3.02  % (1399383)Termination reason: Instruction limit
% 10.41/3.02  % (1399383)Termination phase: Saturation
% 10.41/3.02  % (1399383)Time elapsed: 0.078 s
% 10.41/3.02  % (1399383)Peak memory usage: 89 MB
% 10.41/3.02  % (1399383)Instructions burned: 144 (million)
% 10.41/3.02  % (1399384)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1677255370:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 13.18/3.39  % (1399386)lrs+10_64_to=lpo:sil=8000:random_seed=2797532418:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 13.18/3.39  % (1399385)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=974611483:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 13.18/3.39  % (1399388)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=119021174:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 13.18/3.39  % (1399386)Instruction limit reached! 
% 13.18/3.39  % (1399386)------------------------------
% 13.18/3.39  % (1399386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399386)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399386)Termination reason: Instruction limit
% 13.18/3.39  % (1399386)Termination phase: Saturation
% 13.18/3.39  % (1399386)Time elapsed: 0.129 s
% 13.18/3.39  % (1399386)Peak memory usage: 88 MB
% 13.18/3.39  % (1399386)Instructions burned: 126 (million)
% 13.18/3.39  % (1399384)Instruction limit reached! 
% 13.18/3.39  % (1399384)------------------------------
% 13.18/3.39  % (1399384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399384)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399384)Termination reason: Instruction limit
% 13.18/3.39  % (1399384)Termination phase: Saturation
% 13.18/3.39  % (1399384)Time elapsed: 0.178 s
% 13.18/3.39  % (1399384)Peak memory usage: 89 MB
% 13.18/3.39  % (1399384)Instructions burned: 189 (million)
% 13.18/3.39  % (1399388)Instruction limit reached! 
% 13.18/3.39  % (1399388)------------------------------
% 13.18/3.39  % (1399388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399388)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399388)Termination reason: Instruction limit
% 13.18/3.39  % (1399388)Termination phase: Saturation
% 13.18/3.39  % (1399388)Time elapsed: 0.101 s
% 13.18/3.39  % (1399388)Peak memory usage: 88 MB
% 13.18/3.39  % (1399388)Instructions burned: 196 (million)
% 13.18/3.39  % (1399385)Instruction limit reached! 
% 13.18/3.39  % (1399385)------------------------------
% 13.18/3.39  % (1399385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399385)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399385)Termination reason: Instruction limit
% 13.18/3.39  % (1399385)Termination phase: Saturation
% 13.18/3.39  % (1399385)Time elapsed: 0.207 s
% 13.18/3.39  % (1399385)Peak memory usage: 89 MB
% 13.18/3.39  % (1399385)Instructions burned: 220 (million)
% 13.18/3.39  % (1399395)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=3988859414:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 13.18/3.39  % (1399393)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1240028683:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 13.18/3.39  % (1399395)Instruction limit reached! 
% 13.18/3.39  % (1399395)------------------------------
% 13.18/3.39  % (1399395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399395)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399395)Termination reason: Instruction limit
% 13.18/3.39  % (1399395)Termination phase: Saturation
% 13.18/3.39  % (1399395)Time elapsed: 0.052 s
% 13.18/3.39  % (1399395)Peak memory usage: 89 MB
% 13.18/3.39  % (1399395)Instructions burned: 107 (million)
% 13.18/3.39  % (1399394)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1478374273:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 13.18/3.39  % (1399396)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4199853373:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 13.18/3.39  % (1399393)Instruction limit reached! 
% 13.18/3.39  % (1399393)------------------------------
% 13.18/3.39  % (1399393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399393)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399393)Termination reason: Instruction limit
% 13.18/3.39  % (1399393)Termination phase: Saturation
% 13.18/3.39  % (1399393)Time elapsed: 0.167 s
% 13.18/3.39  % (1399393)Peak memory usage: 90 MB
% 13.18/3.39  % (1399393)Instructions burned: 158 (million)
% 13.18/3.39  % (1399396)Instruction limit reached! 
% 13.18/3.39  % (1399396)------------------------------
% 13.18/3.39  % (1399396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399396)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399396)Termination reason: Instruction limit
% 13.18/3.39  % (1399396)Termination phase: Saturation
% 13.18/3.39  % (1399396)Time elapsed: 0.113 s
% 13.18/3.39  % (1399396)Peak memory usage: 88 MB
% 13.18/3.39  % (1399396)Instructions burned: 107 (million)
% 13.18/3.39  % (1399399)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=836312209:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 13.18/3.39  % (1399370)First to succeed.
% 13.18/3.39  % (1399370)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1399364"
% 13.18/3.39  % (1399402)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1178947959:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 13.18/3.39  % (1399403)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2268953880:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 13.18/3.39  % (1399399)Instruction limit reached! 
% 13.18/3.39  % (1399399)------------------------------
% 13.18/3.39  % (1399399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399399)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399399)Termination reason: Instruction limit
% 13.18/3.39  % (1399399)Termination phase: Saturation
% 13.18/3.39  % (1399399)Time elapsed: 0.242 s
% 13.18/3.39  % (1399399)Peak memory usage: 88 MB
% 13.18/3.39  % (1399399)Instructions burned: 242 (million)
% 13.18/3.39  % (1399403)Instruction limit reached! 
% 13.18/3.39  % (1399403)------------------------------
% 13.18/3.39  % (1399403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399403)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399403)Termination reason: Instruction limit
% 13.18/3.39  % (1399403)Termination phase: Saturation
% 13.18/3.39  % (1399403)Time elapsed: 0.135 s
% 13.18/3.39  % (1399403)Peak memory usage: 89 MB
% 13.18/3.39  % (1399403)Instructions burned: 134 (million)
% 13.18/3.39  % (1399407)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2039196811:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 13.18/3.39  % (1399370)Refutation found. Thanks to Tanya!
% 13.18/3.39  % SZS status Unsatisfiable for theBenchmark
% 13.18/3.39  % SZS output start Proof for theBenchmark
% See solution above
% 13.18/3.39  % (1399370)------------------------------
% 13.18/3.39  % (1399370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.39  % (1399370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.39  % (1399370)CaDiCaL version: 2.1.3
% 13.18/3.39  % (1399370)Termination reason: Refutation
% 13.18/3.39  % (1399370)Time elapsed: 1.078 s
% 13.18/3.39  % (1399370)Peak memory usage: 129 MB
% 13.18/3.39  % (1399370)Instructions burned: 1029 (million)
% 13.18/3.39  % (1399370)------------------------------
% 13.18/3.39  % (1399370)------------------------------
% 13.18/3.39  % (1399364)Success in time 1.712 s
% 13.18/3.39  % Vampire exiting
%------------------------------------------------------------------------------