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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n012.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 16:14:11 EDT 2022

% Result   : Unsatisfiable 1.66s 0.60s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f118,plain,
    $false,
    inference(trivial_inequality_removal,[],[f117]) ).

fof(f117,plain,
    a != a,
    inference(superposition,[],[f2,f89]) ).

fof(f89,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f31,f74]) ).

fof(f74,plain,
    ! [X5] : identity = multiply(X5,multiply(X5,multiply(X5,identity))),
    inference(superposition,[],[f37,f31]) ).

fof(f37,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(X1,multiply(identity,identity)))) = multiply(X0,multiply(X0,multiply(X1,identity))),
    inference(superposition,[],[f25,f31]) ).

fof(f25,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
    inference(superposition,[],[f17,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(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(f31,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
    inference(superposition,[],[f25,f12]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13  % 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 : n012.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 22:13:21 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  % (14025)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.55  % (14022)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/6Mi)
% 0.20/0.57  % (14025)Instruction limit reached!
% 0.20/0.57  % (14025)------------------------------
% 0.20/0.57  % (14025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (14025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (14025)Termination reason: Unknown
% 0.20/0.57  % (14025)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (14025)Memory used [KB]: 5628
% 0.20/0.57  % (14025)Time elapsed: 0.146 s
% 0.20/0.57  % (14025)Instructions burned: 8 (million)
% 0.20/0.57  % (14025)------------------------------
% 0.20/0.57  % (14025)------------------------------
% 0.20/0.57  % (14041)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.20/0.57  % (14033)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/321Mi)
% 0.20/0.57  % (14022)Instruction limit reached!
% 0.20/0.57  % (14022)------------------------------
% 0.20/0.57  % (14022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (14022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (14022)Termination reason: Unknown
% 0.20/0.57  % (14022)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (14022)Memory used [KB]: 5500
% 0.20/0.57  % (14022)Time elapsed: 0.153 s
% 0.20/0.57  % (14022)Instructions burned: 6 (million)
% 0.20/0.57  % (14022)------------------------------
% 0.20/0.57  % (14022)------------------------------
% 0.20/0.58  % (14040)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 1.66/0.58  % (14040)First to succeed.
% 1.66/0.59  % (14032)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/353Mi)
% 1.66/0.60  % (14032)Also succeeded, but the first one will report.
% 1.66/0.60  % (14040)Refutation found. Thanks to Tanya!
% 1.66/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.66/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.60  % (14040)------------------------------
% 1.66/0.60  % (14040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.60  % (14040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.60  % (14040)Termination reason: Refutation
% 1.66/0.60  
% 1.66/0.60  % (14040)Memory used [KB]: 5628
% 1.66/0.60  % (14040)Time elapsed: 0.156 s
% 1.66/0.60  % (14040)Instructions burned: 8 (million)
% 1.66/0.60  % (14040)------------------------------
% 1.66/0.60  % (14040)------------------------------
% 1.66/0.60  % (14018)Success in time 0.25 s
%------------------------------------------------------------------------------