TSTP Solution File: GRP574-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n016.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 16:16:34 EDT 2022

% Result   : Unsatisfiable 1.19s 0.69s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f208,plain,
    $false,
    inference(trivial_inequality_removal,[],[f186]) ).

fof(f186,plain,
    a2 != a2,
    inference(backward_demodulation,[],[f7,f170]) ).

fof(f170,plain,
    ! [X2] : double_divide(double_divide(X2,identity),identity) = X2,
    inference(superposition,[],[f92,f36]) ).

fof(f36,plain,
    ! [X0] : identity = double_divide(double_divide(X0,identity),X0),
    inference(forward_demodulation,[],[f35,f18]) ).

fof(f18,plain,
    identity = double_divide(identity,identity),
    inference(forward_demodulation,[],[f16,f10]) ).

fof(f10,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f6]) ).

fof(f6,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f16,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
    inference(superposition,[],[f1,f12]) ).

fof(f12,plain,
    identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
    inference(superposition,[],[f10,f6]) ).

fof(f35,plain,
    ! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0),
    inference(forward_demodulation,[],[f33,f6]) ).

fof(f33,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,identity)),identity) = double_divide(double_divide(X0,identity),X0),
    inference(superposition,[],[f20,f29]) ).

fof(f29,plain,
    ! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),identity),
    inference(forward_demodulation,[],[f13,f18]) ).

fof(f13,plain,
    ! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f10]) ).

fof(f20,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
    inference(backward_demodulation,[],[f10,f18]) ).

fof(f92,plain,
    ! [X14,X13] : double_divide(double_divide(X13,double_divide(double_divide(X14,identity),X13)),identity) = X14,
    inference(forward_demodulation,[],[f72,f20]) ).

fof(f72,plain,
    ! [X14,X13] : double_divide(double_divide(X13,double_divide(double_divide(X14,identity),double_divide(double_divide(identity,double_divide(identity,double_divide(X13,identity))),identity))),identity) = X14,
    inference(superposition,[],[f21,f26]) ).

fof(f26,plain,
    ! [X0] : identity = double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X0),
    inference(superposition,[],[f6,f20]) ).

fof(f21,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),identity) = X1,
    inference(backward_demodulation,[],[f1,f18]) ).

fof(f7,plain,
    a2 != double_divide(double_divide(a2,identity),identity),
    inference(definition_unfolding,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f5,axiom,
    a2 != multiply(identity,a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 22:55:15 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.13/0.35  ipcrm: permission denied for id (736755713)
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% 0.19/0.51  ipcrm: permission denied for id (742391933)
% 0.19/0.51  ipcrm: permission denied for id (739606654)
% 0.90/0.64  % (25916)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/267Mi)
% 0.90/0.64  % (25891)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.19/0.65  % (25908)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.19/0.66  % (25900)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.19/0.66  % (25916)First to succeed.
% 1.19/0.67  % (25904)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 (2998ds/321Mi)
% 1.19/0.67  % (25894)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.19/0.67  % (25890)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/10Mi)
% 1.19/0.67  % (25912)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/267Mi)
% 1.19/0.68  % (25903)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 (2998ds/353Mi)
% 1.19/0.68  % (25889)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99788Mi)
% 1.19/0.68  % (25905)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/212Mi)
% 1.19/0.68  % (25915)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.19/0.68  % (25899)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.19/0.68  % (25892)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 (2998ds/6Mi)
% 1.19/0.69  % (25891)Instruction limit reached!
% 1.19/0.69  % (25891)------------------------------
% 1.19/0.69  % (25891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.69  % (25908)Also succeeded, but the first one will report.
% 1.19/0.69  % (25916)Refutation found. Thanks to Tanya!
% 1.19/0.69  % SZS status Unsatisfiable for theBenchmark
% 1.19/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.69  % (25916)------------------------------
% 1.19/0.69  % (25916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.69  % (25916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.69  % (25916)Termination reason: Refutation
% 1.19/0.69  
% 1.19/0.69  % (25916)Memory used [KB]: 1151
% 1.19/0.69  % (25916)Time elapsed: 0.123 s
% 1.19/0.69  % (25916)Instructions burned: 9 (million)
% 1.19/0.69  % (25916)------------------------------
% 1.19/0.69  % (25916)------------------------------
% 1.19/0.69  % (25660)Success in time 0.345 s
%------------------------------------------------------------------------------