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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : FLD040-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 09:49:40 AM UTC 2026

% Result   : Unsatisfiable 16.12s 6.15s
% Output   : Refutation 16.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   78 (  24 unt;   1 def)
%            Number of atoms       :  180 (   2 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  205 ( 103   ~; 102   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   90 (  90   !;   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/Axioms/FLD002-0.ax',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/Axioms/FLD002-0.ax',associativity_addition_2) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

fof(f4,axiom,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ sum(X1,X0,X2)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

fof(f8,axiom,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',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/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ product(X5,X6,X2)
      | ~ sum(X3,X4,X5)
      | sum(X0,X1,X2)
      | ~ product(X3,X6,X0)
      | ~ product(X4,X6,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).

fof(f14,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).

fof(f15,axiom,
    ! [X0] :
      ( defined(additive_inverse(X0))
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).

fof(f17,axiom,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).

fof(f18,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,additive_identity)
      | ~ defined(X0)
      | defined(multiplicative_inverse(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( sum(additive_identity,X0,X1)
      | ~ less_or_equal(X0,X1)
      | ~ less_or_equal(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( less_or_equal(X1,X0)
      | less_or_equal(X0,X1)
      | ~ defined(X0)
      | ~ defined(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).

fof(f24,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sum(X3,X4,X1)
      | ~ less_or_equal(X2,X3)
      | ~ sum(X2,X4,X0)
      | less_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).

fof(f26,axiom,
    ~ sum(additive_identity,additive_identity,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',different_identities) ).

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

fof(f28,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).

fof(f29,negated_conjecture,
    sum(additive_identity,multiplicative_inverse(a),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).

fof(f30,definition,
    sF0 = multiplicative_inverse(a),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f31,plain,
    multiplicative_inverse(a) = sF0,
    inference(reorient_equations,[],[f30]) ).

fof(f32,plain,
    sum(additive_identity,sF0,additive_identity),
    inference(definition_folding,[],[f29,f31]) ).

fof(f33,plain,
    sum(sF0,additive_identity,additive_identity),
    inference(resolution,[],[f5,f32]) ).

fof(f34,plain,
    ! [X0] :
      ( sum(X0,additive_identity,X0)
      | ~ defined(X0) ),
    inference(resolution,[],[f5,f3]) ).

fof(f41,plain,
    ( ~ defined(a)
    | defined(multiplicative_inverse(a)) ),
    inference(resolution,[],[f18,f28]) ).

fof(f43,plain,
    defined(multiplicative_inverse(a)),
    inference(forward_subsumption_resolution,[],[f41,f27]) ).

fof(f44,plain,
    defined(sF0),
    inference(forward_demodulation,[],[f43,f31]) ).

fof(f49,plain,
    ( ~ less_or_equal(multiplicative_identity,additive_identity)
    | ~ less_or_equal(additive_identity,multiplicative_identity) ),
    inference(resolution,[],[f21,f26]) ).

fof(f55,plain,
    ! [X0] :
      ( less_or_equal(X0,X0)
      | ~ defined(X0)
      | ~ defined(X0) ),
    inference(factoring,[],[f23]) ).

fof(f56,plain,
    ! [X0] :
      ( less_or_equal(X0,X0)
      | ~ defined(X0) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f59,plain,
    ( product(sF0,a,multiplicative_identity)
    | sum(additive_identity,a,additive_identity)
    | ~ defined(a) ),
    inference(superposition,[],[f9,f31]) ).

fof(f60,plain,
    ( product(sF0,a,multiplicative_identity)
    | ~ defined(a) ),
    inference(forward_subsumption_resolution,[],[f59,f28]) ).

fof(f61,plain,
    product(sF0,a,multiplicative_identity),
    inference(forward_subsumption_resolution,[],[f60,f27]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ sum(X0,sF0,X1)
      | ~ less_or_equal(X0,additive_identity)
      | less_or_equal(X1,additive_identity) ),
    inference(resolution,[],[f24,f32]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X0,X1,X2)
      | ~ less_or_equal(X0,additive_identity)
      | less_or_equal(X2,X1)
      | ~ defined(X1) ),
    inference(resolution,[],[f24,f3]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X0,additive_inverse(X1))
      | ~ sum(X0,X1,X2)
      | less_or_equal(X2,additive_identity)
      | ~ defined(X1) ),
    inference(resolution,[],[f24,f4]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X1,sF0,X2)
      | ~ sum(X0,X1,additive_identity)
      | sum(X0,X2,additive_identity) ),
    inference(resolution,[],[f1,f32]) ).

fof(f85,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(f88,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(f92,plain,
    ( ~ less_or_equal(additive_identity,additive_identity)
    | less_or_equal(sF0,additive_identity)
    | ~ defined(sF0) ),
    inference(resolution,[],[f74,f3]) ).

fof(f97,plain,
    ( ~ less_or_equal(additive_identity,additive_identity)
    | less_or_equal(sF0,additive_identity) ),
    inference(forward_subsumption_resolution,[],[f92,f44]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X0,additive_identity,X2)
      | sum(X1,sF0,X2)
      | ~ sum(X0,additive_identity,X1) ),
    inference(resolution,[],[f2,f32]) ).

fof(f109,plain,
    ( less_or_equal(sF0,additive_identity)
    | ~ defined(additive_identity) ),
    inference(resolution,[],[f97,f56]) ).

fof(f110,plain,
    less_or_equal(sF0,additive_identity),
    inference(forward_subsumption_resolution,[],[f109,f14]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product(X1,X4,X3)
      | sum(X2,X3,X4)
      | ~ product(X0,X4,X2)
      | ~ sum(X0,X1,multiplicative_identity)
      | ~ defined(X4) ),
    inference(resolution,[],[f11,f8]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ sum(X0,additive_identity,additive_identity)
      | sum(X0,sF0,additive_identity)
      | ~ defined(sF0) ),
    inference(resolution,[],[f84,f3]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ sum(X0,additive_identity,additive_identity)
      | sum(X0,sF0,additive_identity) ),
    inference(forward_subsumption_resolution,[],[f150,f44]) ).

fof(f163,plain,
    sum(sF0,sF0,additive_identity),
    inference(resolution,[],[f155,f33]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ sum(X1,additive_identity,X0)
      | sum(X0,sF0,X1)
      | ~ defined(X1) ),
    inference(resolution,[],[f103,f34]) ).

fof(f179,plain,
    ( ~ less_or_equal(sF0,additive_identity)
    | less_or_equal(additive_identity,additive_identity) ),
    inference(resolution,[],[f163,f74]) ).

fof(f184,plain,
    less_or_equal(additive_identity,additive_identity),
    inference(forward_subsumption_resolution,[],[f179,f110]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( ~ sum(additive_inverse(X0),X0,X1)
      | less_or_equal(X1,additive_identity)
      | ~ defined(X0)
      | ~ defined(additive_inverse(X0)) ),
    inference(resolution,[],[f78,f56]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ~ sum(additive_inverse(X0),X0,X1)
      | less_or_equal(X1,additive_identity)
      | ~ defined(X0) ),
    inference(forward_subsumption_resolution,[],[f300,f15]) ).

fof(f434,plain,
    ! [X0,X1] :
      ( ~ sum(additive_inverse(X0),X0,X1)
      | sum(additive_identity,X1,additive_identity)
      | ~ defined(X0)
      | ~ defined(additive_inverse(X0)) ),
    inference(resolution,[],[f88,f3]) ).

fof(f436,plain,
    ! [X0,X1] :
      ( ~ sum(additive_inverse(X0),X0,X1)
      | sum(additive_identity,X1,additive_identity)
      | ~ defined(X0) ),
    inference(forward_subsumption_resolution,[],[f434,f15]) ).

fof(f842,plain,
    ! [X2,X0,X1] :
      ( sum(X0,X1,X1)
      | ~ product(X2,X1,X0)
      | ~ sum(X2,multiplicative_identity,multiplicative_identity)
      | ~ defined(X1)
      | ~ defined(X1) ),
    inference(resolution,[],[f129,f8]) ).

fof(f853,plain,
    ! [X2,X0,X1] :
      ( ~ product(X2,X1,X0)
      | sum(X0,X1,X1)
      | ~ sum(X2,multiplicative_identity,multiplicative_identity)
      | ~ defined(X1) ),
    inference(duplicate_literal_removal,[],[f842]) ).

fof(f1083,plain,
    ! [X0] :
      ( sum(X0,sF0,X0)
      | ~ defined(X0)
      | ~ defined(X0) ),
    inference(resolution,[],[f166,f34]) ).

fof(f1101,plain,
    ! [X0] :
      ( sum(X0,sF0,X0)
      | ~ defined(X0) ),
    inference(duplicate_literal_removal,[],[f1083]) ).

fof(f1610,plain,
    ! [X0] :
      ( sum(sF0,X0,X0)
      | ~ defined(X0) ),
    inference(resolution,[],[f1101,f5]) ).

fof(f4941,plain,
    ( sum(multiplicative_identity,a,a)
    | ~ sum(sF0,multiplicative_identity,multiplicative_identity)
    | ~ defined(a) ),
    inference(resolution,[],[f853,f61]) ).

fof(f4967,plain,
    ( ~ sum(sF0,multiplicative_identity,multiplicative_identity)
    | sum(multiplicative_identity,a,a) ),
    inference(forward_subsumption_resolution,[],[f4941,f27]) ).

fof(f4975,plain,
    ( sum(multiplicative_identity,a,a)
    | ~ defined(multiplicative_identity) ),
    inference(resolution,[],[f4967,f1610]) ).

fof(f4976,plain,
    sum(multiplicative_identity,a,a),
    inference(forward_subsumption_resolution,[],[f4975,f17]) ).

fof(f5004,plain,
    sum(a,multiplicative_identity,a),
    inference(resolution,[],[f4976,f5]) ).

fof(f5042,plain,
    ! [X0] :
      ( ~ sum(X0,a,additive_identity)
      | sum(X0,a,multiplicative_identity)
      | ~ defined(multiplicative_identity) ),
    inference(resolution,[],[f5004,f85]) ).

fof(f5047,plain,
    ! [X0] :
      ( ~ sum(X0,a,additive_identity)
      | sum(X0,a,multiplicative_identity) ),
    inference(forward_subsumption_resolution,[],[f5042,f17]) ).

fof(f26409,plain,
    ( sum(additive_inverse(a),a,multiplicative_identity)
    | ~ defined(a) ),
    inference(resolution,[],[f5047,f4]) ).

fof(f26430,plain,
    sum(additive_inverse(a),a,multiplicative_identity),
    inference(forward_subsumption_resolution,[],[f26409,f27]) ).

fof(f26476,plain,
    ( sum(additive_identity,multiplicative_identity,additive_identity)
    | ~ defined(a) ),
    inference(resolution,[],[f26430,f436]) ).

fof(f26477,plain,
    ( less_or_equal(multiplicative_identity,additive_identity)
    | ~ defined(a) ),
    inference(resolution,[],[f26430,f301]) ).

fof(f26517,plain,
    less_or_equal(multiplicative_identity,additive_identity),
    inference(forward_subsumption_resolution,[],[f26477,f27]) ).

fof(f26518,plain,
    sum(additive_identity,multiplicative_identity,additive_identity),
    inference(forward_subsumption_resolution,[],[f26476,f27]) ).

fof(f26563,plain,
    ~ less_or_equal(additive_identity,multiplicative_identity),
    inference(resolution,[],[f26517,f49]) ).

fof(f26776,plain,
    ( ~ less_or_equal(additive_identity,additive_identity)
    | less_or_equal(additive_identity,multiplicative_identity)
    | ~ defined(multiplicative_identity) ),
    inference(resolution,[],[f26518,f75]) ).

fof(f26809,plain,
    ( less_or_equal(additive_identity,multiplicative_identity)
    | ~ defined(multiplicative_identity) ),
    inference(forward_subsumption_resolution,[],[f26776,f184]) ).

fof(f26815,plain,
    ~ defined(multiplicative_identity),
    inference(forward_subsumption_resolution,[],[f26809,f26563]) ).

fof(f26816,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f26815,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : FLD040-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n026.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Sep 29 00:37:27 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.98/4.05  % (250499)Will run a generic schedule for satisfiability detection.
% 26.98/4.05  % (250507)dis+10_1_sil=32000:sp=arity:random_seed=201393447:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.98/4.05  % (250505)% WARNING: option uhcvi not known.
% 26.98/4.05  % (250505)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=723681014:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.98/4.05  % (250504)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1396604781_2999 on theBenchmark for (2999ds/0Mi)
% 26.98/4.05  % (250506)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4290421758:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.98/4.05  % (250509)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2219231230:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.98/4.05  % (250508)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3202819914:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.98/4.05  % (250510)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1967486634:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.98/4.05  % TRYING [1]
% 26.98/4.05  % TRYING [2]
% 26.98/4.05  % TRYING [3]
% 26.98/4.05  % TRYING [4]
% 26.98/4.05  % TRYING [5]
% 26.98/4.05  % (250507)Instruction limit reached! 
% 26.98/4.05  % (250507)------------------------------
% 26.98/4.05  % (250507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.05  % (250507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.98/4.05  % (250507)CaDiCaL version: 2.1.3
% 26.98/4.05  % (250507)Termination reason: Instruction limit
% 26.98/4.05  % (250507)Termination phase: Saturation
% 26.98/4.05  % (250507)Time elapsed: 0.036 s
% 26.98/4.05  % (250507)Peak memory usage: 12 MB
% 26.98/4.05  % (250507)Instructions burned: 104 (million)
% 26.98/4.05  % (250518)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3029271548:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.98/4.05  % TRYING [1]
% 26.98/4.05  % TRYING [2]
% 26.98/4.05  % TRYING [3]
% 26.98/4.05  % TRYING [4]
% 26.98/4.05  % TRYING [5]
% 26.98/4.05  % (250508)Instruction limit reached! 
% 26.98/4.05  % (250508)------------------------------
% 26.98/4.05  % (250508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.05  % (250508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.98/4.05  % (250508)CaDiCaL version: 2.1.3
% 26.98/4.05  % (250508)Termination reason: Instruction limit
% 26.98/4.05  % (250508)Termination phase: Saturation
% 26.98/4.05  % (250508)Time elapsed: 0.064 s
% 26.98/4.05  % (250508)Peak memory usage: 12 MB
% 26.98/4.05  % (250508)Instructions burned: 116 (million)
% 26.98/4.05  % (250509)Instruction limit reached! 
% 26.98/4.05  % (250509)------------------------------
% 26.98/4.05  % (250509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.05  % (250509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.98/4.05  % (250509)CaDiCaL version: 2.1.3
% 26.98/4.05  % (250509)Termination reason: Instruction limit
% 26.98/4.05  % (250509)Termination phase: Saturation
% 26.98/4.05  % (250509)Time elapsed: 0.077 s
% 26.98/4.05  % (250509)Peak memory usage: 15 MB
% 26.98/4.05  % (250509)Instructions burned: 131 (million)
% 26.98/4.05  % (250520)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=467011041:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 26.98/4.05  % TRYING [6]
% 26.98/4.05  % TRYING [6]
% 26.98/4.05  % (250521)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=1517952600:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.98/4.05  % (250510)Instruction limit reached! 
% 26.98/4.05  % (250510)------------------------------
% 26.98/4.05  % (250510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.05  % (250510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.98/4.05  % (250510)CaDiCaL version: 2.1.3
% 26.98/4.05  % (250510)Termination reason: Instruction limit
% 26.98/4.05  % (250510)Termination phase: Saturation
% 26.98/4.05  % (250510)Time elapsed: 0.099 s
% 26.98/4.05  % (250510)Peak memory usage: 14 MB
% 26.98/4.05  % (250510)Instructions burned: 159 (million)
% 26.98/4.05  % (250524)ott-21_1_sil=16000:fs=off:random_seed=1581735775:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.98/4.05  % TRYING [7]
% 26.98/4.05  % (250520)Instruction limit reached! 
% 26.98/4.05  % (250520)------------------------------
% 26.98/4.05  % (250520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250520)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250520)Termination reason: Instruction limit
% 16.12/6.15  % (250520)Termination phase: Saturation
% 16.12/6.15  % (250520)Time elapsed: 0.079 s
% 16.12/6.15  % (250520)Peak memory usage: 15 MB
% 16.12/6.15  % (250520)Instructions burned: 132 (million)
% 16.12/6.15  % (250526)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=806433032:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.12/6.15  % (250518)Instruction limit reached! 
% 16.12/6.15  % (250518)------------------------------
% 16.12/6.15  % (250518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250518)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250518)Termination reason: Instruction limit
% 16.12/6.15  % (250518)Termination phase: Finite model building constraint generation
% 16.12/6.15  % (250518)Time elapsed: 0.148 s
% 16.12/6.15  % (250518)Peak memory usage: 30 MB
% 16.12/6.15  % (250518)Instructions burned: 715 (million)
% 16.12/6.15  % (250528)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2503279298:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.12/6.15  % TRYING [1]
% 16.12/6.15  % TRYING [2]
% 16.12/6.15  % TRYING [3]
% 16.12/6.15  % TRYING [4]
% 16.12/6.15  % (250524)Instruction limit reached! 
% 16.12/6.15  % (250524)------------------------------
% 16.12/6.15  % (250524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250524)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250524)Termination reason: Instruction limit
% 16.12/6.15  % (250524)Termination phase: Saturation
% 16.12/6.15  % (250524)Time elapsed: 0.093 s
% 16.12/6.15  % (250524)Peak memory usage: 12 MB
% 16.12/6.15  % (250524)Instructions burned: 181 (million)
% 16.12/6.15  % TRYING [7]
% 16.12/6.15  % TRYING [5]
% 16.12/6.15  % (250530)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=647627629:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 16.12/6.15  % TRYING [6]
% 16.12/6.15  % TRYING [7]
% 16.12/6.15  % (250528)Instruction limit reached! 
% 16.12/6.15  % (250528)------------------------------
% 16.12/6.15  % (250528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250528)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250528)Termination reason: Instruction limit
% 16.12/6.15  % (250528)Termination phase: Finite model building constraint generation
% 16.12/6.15  % (250528)Time elapsed: 0.170 s
% 16.12/6.15  % (250528)Peak memory usage: 25 MB
% 16.12/6.15  % (250528)Instructions burned: 871 (million)
% 16.12/6.15  % (250532)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=583525943:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 16.12/6.15  % TRYING [14]
% 16.12/6.15  % (250526)Instruction limit reached! 
% 16.12/6.15  % (250526)------------------------------
% 16.12/6.15  % (250526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250526)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250526)Termination reason: Instruction limit
% 16.12/6.15  % (250526)Termination phase: Saturation
% 16.12/6.15  % (250526)Time elapsed: 0.299 s
% 16.12/6.15  % (250526)Peak memory usage: 14 MB
% 16.12/6.15  % (250526)Instructions burned: 479 (million)
% 16.12/6.15  % (250521)Instruction limit reached! 
% 16.12/6.15  % (250521)------------------------------
% 16.12/6.15  % (250521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250521)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250521)Termination reason: Instruction limit
% 16.12/6.15  % (250521)Termination phase: Saturation
% 16.12/6.15  % (250521)Time elapsed: 0.400 s
% 16.12/6.15  % (250521)Peak memory usage: 20 MB
% 16.12/6.15  % (250521)Instructions burned: 685 (million)
% 16.12/6.15  % (250534)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1704588205:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 16.12/6.15  % TRYING [8]
% 16.12/6.15  % (250535)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2644025137:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 16.12/6.15  % (250532)Instruction limit reached! 
% 16.12/6.15  % (250532)------------------------------
% 16.12/6.15  % (250532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250532)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250532)Termination reason: Instruction limit
% 16.12/6.15  % (250532)Termination phase: Finite model building constraint generation
% 16.12/6.15  % (250532)Time elapsed: 0.187 s
% 16.12/6.15  % (250532)Peak memory usage: 77 MB
% 16.12/6.15  % (250532)Instructions burned: 893 (million)
% 16.12/6.15  % (250538)fmb+10_1_sil=64000:random_seed=1878012685:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 16.12/6.15  % TRYING [1]
% 16.12/6.15  % TRYING [2]
% 16.12/6.15  % TRYING [3]
% 16.12/6.15  % TRYING [4]
% 16.12/6.15  % TRYING [5]
% 16.12/6.15  % TRYING [6]
% 16.12/6.15  % TRYING [7]
% 16.12/6.15  % (250534)Instruction limit reached! 
% 16.12/6.15  % (250534)------------------------------
% 16.12/6.15  % (250534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250534)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250534)Termination reason: Instruction limit
% 16.12/6.15  % (250534)Termination phase: Saturation
% 16.12/6.15  % (250534)Time elapsed: 0.371 s
% 16.12/6.15  % (250534)Peak memory usage: 25 MB
% 16.12/6.15  % (250534)Instructions burned: 693 (million)
% 16.12/6.15  % (250540)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=201344461:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 16.12/6.15  % TRYING [20]
% 16.12/6.15  % (250530)Instruction limit reached! 
% 16.12/6.15  % (250530)------------------------------
% 16.12/6.15  % (250530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250530)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250530)Termination reason: Instruction limit
% 16.12/6.15  % (250530)Termination phase: Saturation
% 16.12/6.15  % (250530)Time elapsed: 0.729 s
% 16.12/6.15  % (250530)Peak memory usage: 24 MB
% 16.12/6.15  % (250530)Instructions burned: 1179 (million)
% 16.12/6.15  % (250542)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3541595321:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 16.12/6.15  % TRYING [8]
% 16.12/6.15  % TRYING [8]
% 16.12/6.15  % (250535)Instruction limit reached! 
% 16.12/6.15  % (250535)------------------------------
% 16.12/6.15  % (250535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250535)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250535)Termination reason: Instruction limit
% 16.12/6.15  % (250535)Termination phase: Saturation
% 16.12/6.15  % (250535)Time elapsed: 0.490 s
% 16.12/6.15  % (250535)Peak memory usage: 16 MB
% 16.12/6.15  % (250535)Instructions burned: 879 (million)
% 16.12/6.15  % (250544)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2592116047:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 16.12/6.15  % TRYING [9]
% 16.12/6.15  % (250542)Instruction limit reached! 
% 16.12/6.15  % (250542)------------------------------
% 16.12/6.15  % (250542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250542)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250542)Termination reason: Instruction limit
% 16.12/6.15  % (250542)Termination phase: Finite model building constraint generation
% 16.12/6.15  % (250542)Time elapsed: 0.354 s
% 16.12/6.15  % (250542)Peak memory usage: 69 MB
% 16.12/6.15  % (250542)Instructions burned: 921 (million)
% 16.12/6.15  % (250546)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=78674383:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 16.12/6.15  % TRYING [9]
% 16.12/6.15  % TRYING [10]
% 16.12/6.15  % (250546)Instruction limit reached! 
% 16.12/6.15  % (250546)------------------------------
% 16.12/6.15  % (250546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250546)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250546)Termination reason: Instruction limit
% 16.12/6.15  % (250546)Termination phase: Saturation
% 16.12/6.15  % (250546)Time elapsed: 0.768 s
% 16.12/6.15  % (250546)Peak memory usage: 26 MB
% 16.12/6.15  % (250546)Instructions burned: 1473 (million)
% 16.12/6.15  % (250548)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=263981314:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 16.12/6.15  % TRYING [77]
% 16.12/6.15  % TRYING [10]
% 16.12/6.15  % TRYING [11]
% 16.12/6.15  % (250544)Instruction limit reached! 
% 16.12/6.15  % (250544)------------------------------
% 16.12/6.15  % (250544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250544)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250544)Termination reason: Instruction limit
% 16.12/6.15  % (250544)Termination phase: Saturation
% 16.12/6.15  % (250544)Time elapsed: 2.763 s
% 16.12/6.15  % (250544)Peak memory usage: 20 MB
% 16.12/6.15  % (250544)Instructions burned: 5131 (million)
% 16.12/6.15  % (250550)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2206514435:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 16.12/6.15  % TRYING [16]
% 16.12/6.15  % (250540)Instruction limit reached! 
% 16.12/6.15  % (250540)------------------------------
% 16.12/6.15  % (250540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250540)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250540)Termination reason: Instruction limit
% 16.12/6.15  % (250540)Termination phase: Finite model building constraint generation
% 16.12/6.15  % (250540)Time elapsed: 3.184 s
% 16.12/6.15  % (250540)Peak memory usage: 533 MB
% 16.12/6.15  % (250540)Instructions burned: 9518 (million)
% 16.12/6.15  % (250552)ott-2_1_sil=16000:newcnf=on:random_seed=1000262467:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2958 on theBenchmark for (2958ds/869Mi)
% 16.12/6.15  % (250548)Instruction limit reached! 
% 16.12/6.15  % (250548)------------------------------
% 16.12/6.15  % (250548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250548)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250548)Termination reason: Instruction limit
% 16.12/6.15  % (250548)Termination phase: Finite model building constraint generation
% 16.12/6.15  % (250548)Time elapsed: 2.176 s
% 16.12/6.15  % (250548)Peak memory usage: 402 MB
% 16.12/6.15  % (250548)Instructions burned: 6327 (million)
% 16.12/6.15  % (250554)ott+10_1_sil=32000:tgt=ground:random_seed=1343865242:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 16.12/6.15  % TRYING [11]
% 16.12/6.15  % (250550)Instruction limit reached! 
% 16.12/6.15  % (250550)------------------------------
% 16.12/6.15  % (250550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250550)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250550)Termination reason: Instruction limit
% 16.12/6.15  % (250550)Termination phase: Finite model building constraint generation
% 16.12/6.15  % (250550)Time elapsed: 0.730 s
% 16.12/6.15  % (250550)Peak memory usage: 130 MB
% 16.12/6.15  % (250550)Instructions burned: 2176 (million)
% 16.12/6.15  % (250556)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2664066182:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 16.12/6.15  % TRYING [1]
% 16.12/6.15  % TRYING [2]
% 16.12/6.15  % TRYING [3]
% 16.12/6.15  % TRYING [4]
% 16.12/6.15  % TRYING [5]
% 16.12/6.15  % (250552)Instruction limit reached! 
% 16.12/6.15  % (250552)------------------------------
% 16.12/6.15  % (250552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250552)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250552)Termination reason: Instruction limit
% 16.12/6.15  % (250552)Termination phase: Saturation
% 16.12/6.15  % (250552)Time elapsed: 0.476 s
% 16.12/6.15  % (250552)Peak memory usage: 13 MB
% 16.12/6.15  % (250552)Instructions burned: 870 (million)
% 16.12/6.15  % (250558)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2192902146:i=3512:aac=none_2953 on theBenchmark for (2953ds/3512Mi)
% 16.12/6.15  % TRYING [6]
% 16.12/6.15  % TRYING [7]
% 16.12/6.15  % TRYING [8]
% 16.12/6.15  % TRYING [9]
% 16.12/6.15  % (250554) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-250499-250554"...
% 16.12/6.15  % (250554)...printing done.
% 16.12/6.15  % (250554)Refutation found. Thanks to Tanya!
% 16.12/6.15  % SZS status Unsatisfiable for theBenchmark
% 16.12/6.15  % SZS output start Proof for theBenchmark
% See solution above
% 16.12/6.15  % (250554)------------------------------
% 16.12/6.15  % (250554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.12/6.15  % (250554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.12/6.15  % (250554)CaDiCaL version: 2.1.3
% 16.12/6.15  % (250554)Termination reason: Refutation
% 16.12/6.15  % (250554)Time elapsed: 1.436 s
% 16.12/6.15  % (250554)Peak memory usage: 25 MB
% 16.12/6.15  % (250554)Instructions burned: 2202 (million)
% 16.12/6.15  % (250499)Success in time 5.927 s
% 16.12/6.15  % Vampire exiting
%------------------------------------------------------------------------------