TSTP Solution File: FLD028-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD028-3 : 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 : n022.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 16:05:34 EDT 2022

% Result   : Unsatisfiable 1.45s 0.54s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   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    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f69,plain,
    $false,
    inference(subsumption_resolution,[],[f67,f50]) ).

fof(f50,plain,
    product(multiplicative_identity,v,v),
    inference(unit_resulting_resolution,[],[f30,f8]) ).

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

fof(f30,axiom,
    defined(v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).

fof(f67,plain,
    ~ product(multiplicative_identity,v,v),
    inference(unit_resulting_resolution,[],[f33,f43,f60,f6]) ).

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/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).

fof(f60,plain,
    ~ product(multiplicative_inverse(a),b,v),
    inference(unit_resulting_resolution,[],[f34,f32,f43,f7]) ).

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

fof(f32,axiom,
    product(a,u,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).

fof(f34,axiom,
    ~ product(multiplicative_identity,u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_8) ).

fof(f43,plain,
    product(multiplicative_inverse(a),a,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f31,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(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f31,axiom,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).

fof(f33,axiom,
    product(a,v,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : FLD028-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 20:37:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (7809)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.49  % (7827)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  % (7827)Instruction limit reached!
% 0.19/0.50  % (7827)------------------------------
% 0.19/0.50  % (7827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (7812)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)
% 1.30/0.53  % (7829)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.30/0.53  % (7833)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)
% 1.30/0.53  % (7810)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)
% 1.30/0.53  % (7811)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)
% 1.30/0.53  % (7812)First to succeed.
% 1.30/0.53  % (7819)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)
% 1.30/0.53  % (7827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (7827)Termination reason: Unknown
% 1.30/0.53  % (7827)Termination phase: Saturation
% 1.30/0.53  
% 1.30/0.53  % (7827)Memory used [KB]: 5884
% 1.30/0.53  % (7827)Time elapsed: 0.079 s
% 1.30/0.53  % (7827)Instructions burned: 7 (million)
% 1.30/0.53  % (7827)------------------------------
% 1.30/0.53  % (7827)------------------------------
% 1.30/0.53  % (7813)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.30/0.53  % (7814)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)
% 1.45/0.53  % (7837)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54  % (7829)Refutation not found, incomplete strategy% (7829)------------------------------
% 1.45/0.54  % (7829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (7829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (7829)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54  
% 1.45/0.54  % (7829)Memory used [KB]: 6012
% 1.45/0.54  % (7829)Time elapsed: 0.131 s
% 1.45/0.54  % (7829)Instructions burned: 9 (million)
% 1.45/0.54  % (7829)------------------------------
% 1.45/0.54  % (7829)------------------------------
% 1.45/0.54  % (7810)Instruction limit reached!
% 1.45/0.54  % (7810)------------------------------
% 1.45/0.54  % (7810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (7810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (7810)Termination reason: Unknown
% 1.45/0.54  % (7810)Termination phase: Saturation
% 1.45/0.54  
% 1.45/0.54  % (7810)Memory used [KB]: 5884
% 1.45/0.54  % (7810)Time elapsed: 0.132 s
% 1.45/0.54  % (7810)Instructions burned: 5 (million)
% 1.45/0.54  % (7810)------------------------------
% 1.45/0.54  % (7810)------------------------------
% 1.45/0.54  % (7832)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.45/0.54  % (7812)Refutation found. Thanks to Tanya!
% 1.45/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.45/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.54  % (7812)------------------------------
% 1.45/0.54  % (7812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (7812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (7812)Termination reason: Refutation
% 1.45/0.54  
% 1.45/0.54  % (7812)Memory used [KB]: 5884
% 1.45/0.54  % (7812)Time elapsed: 0.126 s
% 1.45/0.54  % (7812)Instructions burned: 6 (million)
% 1.45/0.54  % (7812)------------------------------
% 1.45/0.54  % (7812)------------------------------
% 1.45/0.54  % (7807)Success in time 0.187 s
%------------------------------------------------------------------------------