TSTP Solution File: GRP117-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : 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 16:20:16 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62,plain,
    $false,
    inference(trivial_inequality_removal,[],[f61]) ).

fof(f61,plain,
    a != a,
    inference(backward_demodulation,[],[f2,f60]) ).

fof(f60,plain,
    ! [X2] : multiply(X2,identity) = X2,
    inference(backward_demodulation,[],[f37,f51]) ).

fof(f51,plain,
    ! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(X3,multiply(multiply(X3,multiply(X3,multiply(X0,multiply(X1,multiply(X2,X2))))),X2)),
    inference(superposition,[],[f37,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
    inference(superposition,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f6,plain,
    ! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = X2,
    inference(superposition,[],[f1,f1]) ).

fof(f37,plain,
    ! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X2,multiply(identity,multiply(X0,X0))))),X0)) = X2,
    inference(forward_demodulation,[],[f21,f12]) ).

fof(f21,plain,
    ! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X2,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = X2,
    inference(backward_demodulation,[],[f6,f12]) ).

fof(f2,axiom,
    a != multiply(a,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n015.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 22:25:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (30152)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.55  % (30155)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.55  % (30168)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.55  % (30163)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (30166)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.56  % (30180)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.56  TRYING [4]
% 0.20/0.56  % (30180)First to succeed.
% 0.20/0.56  % (30180)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (30180)------------------------------
% 0.20/0.56  % (30180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (30180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (30180)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (30180)Memory used [KB]: 5500
% 0.20/0.56  % (30180)Time elapsed: 0.158 s
% 0.20/0.56  % (30180)Instructions burned: 7 (million)
% 0.20/0.56  % (30180)------------------------------
% 0.20/0.56  % (30180)------------------------------
% 0.20/0.56  % (30150)Success in time 0.21 s
%------------------------------------------------------------------------------