TSTP Solution File: FLD032-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD032-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:05:36 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,plain,
    $false,
    inference(subsumption_resolution,[],[f65,f40]) ).

fof(f40,plain,
    product(multiplicative_identity,a,a),
    inference(unit_resulting_resolution,[],[f27,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f65,plain,
    ~ product(multiplicative_identity,a,a),
    inference(unit_resulting_resolution,[],[f30,f37,f41,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X3,X5,X1)
      | ~ product(X0,X1,X2)
      | ~ product(X0,X3,X4)
      | product(X4,X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).

fof(f41,plain,
    product(multiplicative_inverse(a),a,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f28,f27,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | sum(additive_identity,X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).

fof(f28,axiom,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_2) ).

fof(f37,plain,
    product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f29,f10]) ).

fof(f10,axiom,
    ! [X3,X0,X5] :
      ( ~ product(X0,X3,X5)
      | product(X3,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).

fof(f29,axiom,
    product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_3) ).

fof(f30,axiom,
    ~ product(multiplicative_identity,a,multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : FLD032-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 20:48:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.45  % (12963)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.46  % (12990)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.47  % (12980)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48  % (12966)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.48  % (12971)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (12980)Instruction limit reached!
% 0.19/0.49  % (12980)------------------------------
% 0.19/0.49  % (12980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (12980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (12980)Termination reason: Unknown
% 0.19/0.49  % (12980)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (12980)Memory used [KB]: 5884
% 0.19/0.49  % (12980)Time elapsed: 0.123 s
% 0.19/0.49  % (12980)Instructions burned: 2 (million)
% 0.19/0.49  % (12980)------------------------------
% 0.19/0.49  % (12980)------------------------------
% 0.19/0.49  % (12971)Instruction limit reached!
% 0.19/0.49  % (12971)------------------------------
% 0.19/0.49  % (12971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (12971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (12971)Termination reason: Unknown
% 0.19/0.49  % (12971)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (12971)Memory used [KB]: 5884
% 0.19/0.49  % (12971)Time elapsed: 0.123 s
% 0.19/0.49  % (12971)Instructions burned: 3 (million)
% 0.19/0.49  % (12971)------------------------------
% 0.19/0.49  % (12971)------------------------------
% 0.19/0.49  % (12965)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.49  % (12979)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.49  % (12968)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.49  % (12965)Instruction limit reached!
% 0.19/0.49  % (12965)------------------------------
% 0.19/0.49  % (12965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (12965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (12965)Termination reason: Unknown
% 0.19/0.49  % (12965)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (12965)Memory used [KB]: 5884
% 0.19/0.49  % (12965)Time elapsed: 0.101 s
% 0.19/0.49  % (12965)Instructions burned: 4 (million)
% 0.19/0.49  % (12965)------------------------------
% 0.19/0.49  % (12965)------------------------------
% 0.19/0.49  TRYING [1]
% 0.19/0.49  TRYING [2]
% 0.19/0.49  TRYING [3]
% 0.19/0.49  % (12979)Instruction limit reached!
% 0.19/0.49  % (12979)------------------------------
% 0.19/0.49  % (12979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (12979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (12979)Termination reason: Unknown
% 0.19/0.49  % (12979)Termination phase: Finite model building constraint generation
% 0.19/0.49  
% 0.19/0.49  % (12979)Memory used [KB]: 6140
% 0.19/0.49  % (12979)Time elapsed: 0.089 s
% 0.19/0.49  % (12979)Instructions burned: 8 (million)
% 0.19/0.49  % (12979)------------------------------
% 0.19/0.49  % (12979)------------------------------
% 0.19/0.50  % (12969)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50  % (12975)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50  % (12983)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (12992)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.50  % (12967)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51  % (12967)First to succeed.
% 0.19/0.51  % (12989)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.51  % (12975)Also succeeded, but the first one will report.
% 0.19/0.51  % (12967)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (12967)------------------------------
% 0.19/0.51  % (12967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (12967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (12967)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (12967)Memory used [KB]: 5884
% 0.19/0.51  % (12967)Time elapsed: 0.124 s
% 0.19/0.51  % (12967)Instructions burned: 4 (million)
% 0.19/0.51  % (12967)------------------------------
% 0.19/0.51  % (12967)------------------------------
% 0.19/0.51  % (12960)Success in time 0.168 s
%------------------------------------------------------------------------------