TSTP Solution File: GRP116-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP116-1 : 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 : n004.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 1.31s 0.67s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f173,plain,
    $false,
    inference(subsumption_resolution,[],[f2,f155]) ).

fof(f155,plain,
    ! [X4] : multiply(identity,X4) = X4,
    inference(superposition,[],[f46,f134]) ).

fof(f134,plain,
    ! [X16] : identity = multiply(X16,multiply(X16,X16)),
    inference(superposition,[],[f99,f94]) ).

fof(f94,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(forward_demodulation,[],[f93,f46]) ).

fof(f93,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(identity,multiply(X1,X1)),X1)) = X0,
    inference(forward_demodulation,[],[f81,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(f81,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(multiply(identity,X1),multiply(identity,X1)),X1)) = X0,
    inference(superposition,[],[f46,f12]) ).

fof(f99,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
    inference(backward_demodulation,[],[f31,f94]) ).

fof(f31,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
    inference(forward_demodulation,[],[f27,f12]) ).

fof(f27,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
    inference(superposition,[],[f17,f12]) ).

fof(f17,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
    inference(backward_demodulation,[],[f1,f12]) ).

fof(f46,plain,
    ! [X4,X5] : multiply(multiply(X4,multiply(X5,X5)),X5) = X4,
    inference(superposition,[],[f33,f33]) ).

fof(f33,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))) = X1,
    inference(forward_demodulation,[],[f32,f12]) ).

fof(f32,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(identity,multiply(X2,X2))))) = X1,
    inference(forward_demodulation,[],[f24,f12]) ).

fof(f24,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(identity,X2),multiply(identity,X2))))) = X1,
    inference(superposition,[],[f17,f12]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:10:49 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  ipcrm: permission denied for id (697040896)
% 0.12/0.36  ipcrm: permission denied for id (697106438)
% 0.12/0.36  ipcrm: permission denied for id (697171977)
% 0.12/0.39  ipcrm: permission denied for id (697303067)
% 0.12/0.40  ipcrm: permission denied for id (697401381)
% 0.18/0.41  ipcrm: permission denied for id (697466930)
% 0.18/0.42  ipcrm: permission denied for id (697499699)
% 0.18/0.45  ipcrm: permission denied for id (697565259)
% 0.18/0.45  ipcrm: permission denied for id (697663567)
% 0.18/0.46  ipcrm: permission denied for id (697696342)
% 0.18/0.46  ipcrm: permission denied for id (697729113)
% 0.18/0.47  ipcrm: permission denied for id (697761883)
% 0.18/0.48  ipcrm: permission denied for id (697860202)
% 0.18/0.50  ipcrm: permission denied for id (697925749)
% 0.18/0.50  ipcrm: permission denied for id (697991292)
% 0.86/0.63  % (3513)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.05/0.65  % (3521)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.05/0.65  % (3508)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.05/0.65  % (3508)First to succeed.
% 1.31/0.66  % (3506)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.31/0.67  % (3508)Refutation found. Thanks to Tanya!
% 1.31/0.67  % SZS status Unsatisfiable for theBenchmark
% 1.31/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.67  % (3508)------------------------------
% 1.31/0.67  % (3508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.67  % (3508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.67  % (3508)Termination reason: Refutation
% 1.31/0.67  
% 1.31/0.67  % (3508)Memory used [KB]: 5628
% 1.31/0.67  % (3508)Time elapsed: 0.104 s
% 1.31/0.67  % (3508)Instructions burned: 12 (million)
% 1.31/0.67  % (3508)------------------------------
% 1.31/0.67  % (3508)------------------------------
% 1.31/0.67  % (3277)Success in time 0.322 s
%------------------------------------------------------------------------------