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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : FLD050-3 : 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 : 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 09:49:13 AM UTC 2026

% Result   : Unsatisfiable 8.59s 1.99s
% Output   : Refutation 8.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   29 (  22 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  17   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X5,X2)
      | ~ product(X0,X3,X4)
      | ~ product(X3,X5,X1)
      | product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X1,X5)
      | ~ product(X3,X4,X0)
      | product(X0,X1,X2)
      | ~ product(X3,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).

fof(f8,axiom,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).

fof(f9,axiom,
    ! [X0] :
      ( product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | sum(additive_identity,X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ product(X1,X0,X2)
      | product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).

fof(f18,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,additive_identity)
      | ~ defined(X0)
      | defined(multiplicative_inverse(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( product(X0,X1,multiply(X0,X1))
      | ~ defined(X0)
      | ~ defined(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).

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(f30,axiom,
    defined(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).

fof(f31,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).

fof(f32,negated_conjecture,
    ~ sum(additive_identity,d,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_6) ).

fof(f33,negated_conjecture,
    product(a,d,multiply(b,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).

fof(f34,negated_conjecture,
    ~ product(a,multiplicative_inverse(b),multiply(c,multiplicative_inverse(d))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_8) ).

fof(f35,plain,
    ~ product(multiplicative_inverse(b),a,multiply(c,multiplicative_inverse(d))),
    inference(unit_resulting_resolution,[],[f10,f34]) ).

fof(f42,plain,
    product(b,c,multiply(b,c)),
    inference(unit_resulting_resolution,[],[f20,f29,f28]) ).

fof(f45,plain,
    product(multiplicative_inverse(b),b,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f9,f31,f28]) ).

fof(f54,plain,
    product(multiplicative_identity,c,c),
    inference(unit_resulting_resolution,[],[f8,f29]) ).

fof(f93,plain,
    defined(multiplicative_inverse(d)),
    inference(unit_resulting_resolution,[],[f18,f32,f30]) ).

fof(f94,plain,
    product(multiplicative_inverse(d),d,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f9,f32,f30]) ).

fof(f95,plain,
    product(d,multiplicative_inverse(d),multiplicative_identity),
    inference(unit_resulting_resolution,[],[f10,f94]) ).

fof(f102,plain,
    product(c,multiplicative_inverse(d),multiply(c,multiplicative_inverse(d))),
    inference(unit_resulting_resolution,[],[f20,f29,f93]) ).

fof(f121,plain,
    product(multiplicative_identity,a,a),
    inference(unit_resulting_resolution,[],[f8,f27]) ).

fof(f140,plain,
    product(a,multiplicative_identity,a),
    inference(unit_resulting_resolution,[],[f10,f121]) ).

fof(f149,plain,
    product(multiply(b,c),multiplicative_inverse(d),a),
    inference(unit_resulting_resolution,[],[f7,f95,f33,f140]) ).

fof(f416,plain,
    product(multiplicative_inverse(b),multiply(b,c),c),
    inference(unit_resulting_resolution,[],[f6,f45,f54,f42]) ).

fof(f954,plain,
    ~ product(c,multiplicative_inverse(d),multiply(c,multiplicative_inverse(d))),
    inference(unit_resulting_resolution,[],[f6,f35,f149,f416]) ).

fof(f966,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f954,f102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : FLD050-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19  % Computer : n016.cluster.edu
% 0.11/0.19  % Model    : x86_64 x86_64
% 0.11/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19  % Memory   : 8046.5625MB
% 0.11/0.19  % OS       : Linux 6.8.0-71-generic
% 0.11/0.19  % CPULimit : 300
% 0.11/0.19  % WCLimit  : 300
% 0.11/0.19  % DateTime : Tue Sep 29 00:44:19 UTC 2026
% 0.11/0.19  % CPUTime  : 
% 0.11/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23  Running first-order theorem proving
% 0.11/0.23  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
% 5.04/1.80  % (15043)Input is clausal, will run a generic CNF schedule.
% 5.04/1.80  % (15052)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=742289955:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.04/1.80  % (15052)Instruction limit reached! 
% 5.04/1.80  % (15052)------------------------------
% 5.04/1.80  % (15052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.80  % (15052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.80  % (15052)CaDiCaL version: 2.1.3
% 5.04/1.80  % (15052)Termination reason: Instruction limit
% 5.04/1.80  % (15052)Termination phase: Saturation
% 5.04/1.80  % (15052)Time elapsed: 0.037 s
% 5.04/1.80  % (15052)Peak memory usage: 88 MB
% 5.04/1.80  % (15052)Instructions burned: 117 (million)
% 5.04/1.80  % (15051)lrs+10_1_sil=8000:sp=occurrence:random_seed=4256115603:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.04/1.80  % (15054)dis-21_1_sil=8000:lcm=predicate:random_seed=3341071953: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)
% 5.04/1.80  % (15049)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2698916649:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.04/1.80  % (15048)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=325925330:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.04/1.80  % (15053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=487803336:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.04/1.80  % (15050)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2004454133:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.04/1.80  % (15051)Instruction limit reached! 
% 5.04/1.80  % (15051)------------------------------
% 5.04/1.80  % (15051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.80  % (15051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.80  % (15051)CaDiCaL version: 2.1.3
% 5.04/1.80  % (15051)Termination reason: Instruction limit
% 5.04/1.80  % (15051)Termination phase: Saturation
% 5.04/1.80  % (15051)Time elapsed: 0.066 s
% 5.04/1.80  % (15051)Peak memory usage: 89 MB
% 5.04/1.80  % (15051)Instructions burned: 108 (million)
% 5.04/1.80  % (15054)Instruction limit reached! 
% 5.04/1.80  % (15054)------------------------------
% 5.04/1.80  % (15054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.80  % (15054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.80  % (15054)CaDiCaL version: 2.1.3
% 5.04/1.80  % (15054)Termination reason: Instruction limit
% 5.04/1.80  % (15054)Termination phase: Saturation
% 5.04/1.80  % (15054)Time elapsed: 0.072 s
% 5.04/1.80  % (15054)Peak memory usage: 89 MB
% 5.04/1.80  % (15054)Instructions burned: 117 (million)
% 5.04/1.80  % (15053)Instruction limit reached! 
% 5.04/1.80  % (15053)------------------------------
% 5.04/1.80  % (15053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.80  % (15053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.80  % (15053)CaDiCaL version: 2.1.3
% 5.04/1.80  % (15053)Termination reason: Instruction limit
% 5.04/1.80  % (15053)Termination phase: Saturation
% 5.04/1.80  % (15053)Time elapsed: 0.087 s
% 5.04/1.80  % (15053)Peak memory usage: 88 MB
% 5.04/1.80  % (15053)Instructions burned: 184 (million)
% 5.04/1.80  % (15062)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=1724087302:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.04/1.80  % (15065)lrs+10_64_to=lpo:sil=8000:random_seed=684284647:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.04/1.80  % (15063)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4024136136: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)
% 5.04/1.80  % (15064)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=602121636:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.04/1.80  % (15062)Instruction limit reached! 
% 5.04/1.80  % (15062)------------------------------
% 5.04/1.80  % (15062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15062)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15062)Termination reason: Instruction limit
% 8.59/1.99  % (15062)Termination phase: Saturation
% 8.59/1.99  % (15062)Time elapsed: 0.091 s
% 8.59/1.99  % (15062)Peak memory usage: 89 MB
% 8.59/1.99  % (15062)Instructions burned: 143 (million)
% 8.59/1.99  % (15065)Instruction limit reached! 
% 8.59/1.99  % (15065)------------------------------
% 8.59/1.99  % (15065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15065)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15065)Termination reason: Instruction limit
% 8.59/1.99  % (15065)Termination phase: Saturation
% 8.59/1.99  % (15065)Time elapsed: 0.042 s
% 8.59/1.99  % (15065)Peak memory usage: 89 MB
% 8.59/1.99  % (15065)Instructions burned: 126 (million)
% 8.59/1.99  % (15070)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2911346635:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.59/1.99  % (15063)Instruction limit reached! 
% 8.59/1.99  % (15063)------------------------------
% 8.59/1.99  % (15063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15063)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15063)Termination reason: Instruction limit
% 8.59/1.99  % (15063)Termination phase: Saturation
% 8.59/1.99  % (15063)Time elapsed: 0.100 s
% 8.59/1.99  % (15063)Peak memory usage: 93 MB
% 8.59/1.99  % (15063)Instructions burned: 190 (million)
% 8.59/1.99  % (15071)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1773678584:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 8.59/1.99  % (15064)Instruction limit reached! 
% 8.59/1.99  % (15064)------------------------------
% 8.59/1.99  % (15064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15064)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15064)Termination reason: Instruction limit
% 8.59/1.99  % (15064)Termination phase: Saturation
% 8.59/1.99  % (15064)Time elapsed: 0.131 s
% 8.59/1.99  % (15064)Peak memory usage: 89 MB
% 8.59/1.99  % (15064)Instructions burned: 219 (million)
% 8.59/1.99  % (15070)Instruction limit reached! 
% 8.59/1.99  % (15070)------------------------------
% 8.59/1.99  % (15070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15070)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15070)Termination reason: Instruction limit
% 8.59/1.99  % (15070)Termination phase: Saturation
% 8.59/1.99  % (15070)Time elapsed: 0.067 s
% 8.59/1.99  % (15070)Peak memory usage: 89 MB
% 8.59/1.99  % (15070)Instructions burned: 194 (million)
% 8.59/1.99  % (15073)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=462562401:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.59/1.99  % (15071)Instruction limit reached! 
% 8.59/1.99  % (15071)------------------------------
% 8.59/1.99  % (15071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15071)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15071)Termination reason: Instruction limit
% 8.59/1.99  % (15071)Termination phase: Saturation
% 8.59/1.99  % (15071)Time elapsed: 0.111 s
% 8.59/1.99  % (15071)Peak memory usage: 90 MB
% 8.59/1.99  % (15071)Instructions burned: 158 (million)
% 8.59/1.99  % (15076)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3277604366:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 8.59/1.99  % (15075)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=2456565721:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.59/1.99  % (15076)Instruction limit reached! 
% 8.59/1.99  % (15076)------------------------------
% 8.59/1.99  % (15076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15076)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15076)Termination reason: Instruction limit
% 8.59/1.99  % (15076)Termination phase: Saturation
% 8.59/1.99  % (15076)Time elapsed: 0.038 s
% 8.59/1.99  % (15076)Peak memory usage: 88 MB
% 8.59/1.99  % (15076)Instructions burned: 108 (million)
% 8.59/1.99  % (15075)Instruction limit reached! 
% 8.59/1.99  % (15075)------------------------------
% 8.59/1.99  % (15075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15075)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15075)Termination reason: Instruction limit
% 8.59/1.99  % (15075)Termination phase: Saturation
% 8.59/1.99  % (15075)Time elapsed: 0.055 s
% 8.59/1.99  % (15075)Peak memory usage: 90 MB
% 8.59/1.99  % (15075)Instructions burned: 106 (million)
% 8.59/1.99  % (15081)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2598729766:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.59/1.99  % (15079)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=449853228:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 8.59/1.99  % (15082)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=282150490:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 8.59/1.99  % (15079)Instruction limit reached! 
% 8.59/1.99  % (15079)------------------------------
% 8.59/1.99  % (15079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15079)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15079)Termination reason: Instruction limit
% 8.59/1.99  % (15079)Termination phase: Saturation
% 8.59/1.99  % (15079)Time elapsed: 0.152 s
% 8.59/1.99  % (15079)Peak memory usage: 89 MB
% 8.59/1.99  % (15079)Instructions burned: 242 (million)
% 8.59/1.99  % (15082)Instruction limit reached! 
% 8.59/1.99  % (15082)------------------------------
% 8.59/1.99  % (15082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15082)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15082)Termination reason: Instruction limit
% 8.59/1.99  % (15082)Termination phase: Saturation
% 8.59/1.99  % (15082)Time elapsed: 0.083 s
% 8.59/1.99  % (15082)Peak memory usage: 89 MB
% 8.59/1.99  % (15082)Instructions burned: 134 (million)
% 8.59/1.99  % (15049)First to succeed.
% 8.59/1.99  % (15049)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15043"
% 8.59/1.99  % (15086)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=931952390:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 8.59/1.99  % (15087)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2998182894:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 8.59/1.99  % (15048)Also succeeded, but the first one will report.
% 8.59/1.99  % (15087)Instruction limit reached! 
% 8.59/1.99  % (15087)------------------------------
% 8.59/1.99  % (15087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15087)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15087)Termination reason: Instruction limit
% 8.59/1.99  % (15087)Termination phase: Saturation
% 8.59/1.99  % (15087)Time elapsed: 0.109 s
% 8.59/1.99  % (15087)Peak memory usage: 92 MB
% 8.59/1.99  % (15087)Instructions burned: 192 (million)
% 8.59/1.99  % (15049)Refutation found. Thanks to Tanya!
% 8.59/1.99  % SZS status Unsatisfiable for theBenchmark
% 8.59/1.99  % SZS output start Proof for theBenchmark
% See solution above
% 8.59/1.99  % (15049)------------------------------
% 8.59/1.99  % (15049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/1.99  % (15049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/1.99  % (15049)CaDiCaL version: 2.1.3
% 8.59/1.99  % (15049)Termination reason: Refutation
% 8.59/1.99  % (15049)Time elapsed: 0.730 s
% 8.59/1.99  % (15049)Peak memory usage: 128 MB
% 8.59/1.99  % (15049)Instructions burned: 1110 (million)
% 8.59/1.99  % (15049)------------------------------
% 8.59/1.99  % (15049)------------------------------
% 8.59/1.99  % (15043)Success in time 1.135 s
% 8.59/1.99  % Vampire exiting
%------------------------------------------------------------------------------