TSTP Solution File: GRP044-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP044-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n019.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 16:19:14 EDT 2022

% Result   : Unsatisfiable 1.51s 0.55s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(subsumption_resolution,[],[f76,f1]) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f76,plain,
    ~ product(identity,a,a),
    inference(subsumption_resolution,[],[f75,f10]) ).

fof(f10,axiom,
    ~ product(b,c,result),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product_with_b) ).

fof(f75,plain,
    ( product(b,c,result)
    | ~ product(identity,a,a) ),
    inference(resolution,[],[f39,f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( product(X0,X1,b)
      | ~ product(X0,X1,a) ),
    inference(resolution,[],[f7,f8]) ).

fof(f8,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ product(X3,X2,X0)
      | product(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).

fof(f39,plain,
    ! [X4] :
      ( ~ product(identity,a,X4)
      | product(X4,c,result) ),
    inference(resolution,[],[f25,f1]) ).

fof(f25,plain,
    ! [X14,X15,X13] :
      ( ~ product(X13,result,X14)
      | ~ product(X13,a,X15)
      | product(X15,c,X14) ),
    inference(resolution,[],[f6,f9]) ).

fof(f9,axiom,
    product(a,c,result),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_with_a) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | ~ product(X0,X5,X3)
      | product(X4,X2,X3)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP044-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:13:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (18788)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (18789)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.53  % (18780)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.41/0.54  % (18805)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.41/0.54  % (18792)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.41/0.54  % (18780)First to succeed.
% 1.41/0.54  % (18790)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.54  % (18786)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.54  % (18779)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.55  % (18800)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.51/0.55  % (18779)Refutation not found, incomplete strategy% (18779)------------------------------
% 1.51/0.55  % (18779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55  % (18803)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.55  % (18780)Refutation found. Thanks to Tanya!
% 1.51/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.55  % (18780)------------------------------
% 1.51/0.55  % (18780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55  % (18780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55  % (18780)Termination reason: Refutation
% 1.51/0.55  
% 1.51/0.55  % (18780)Memory used [KB]: 895
% 1.51/0.55  % (18780)Time elapsed: 0.124 s
% 1.51/0.55  % (18780)Instructions burned: 4 (million)
% 1.51/0.55  % (18780)------------------------------
% 1.51/0.55  % (18780)------------------------------
% 1.51/0.55  % (18777)Success in time 0.199 s
%------------------------------------------------------------------------------