TSTP Solution File: GRP665-10 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% 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 : n006.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 16:18:06 EDT 2022

% Result   : Unsatisfiable 0.21s 0.60s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 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    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132,plain,
    $false,
    inference(trivial_inequality_removal,[],[f129]) ).

fof(f129,plain,
    mult(op_c,mult(x0,x1)) != mult(op_c,mult(x0,x1)),
    inference(backward_demodulation,[],[f10,f128]) ).

fof(f128,plain,
    ! [X21,X20] : mult(op_c,mult(X21,X20)) = mult(mult(op_c,X21),X20),
    inference(forward_demodulation,[],[f127,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

fof(f127,plain,
    ! [X21,X20] : mult(mult(op_c,X21),X20) = mult(op_c,mult(X20,ld(X20,mult(X21,X20)))),
    inference(forward_demodulation,[],[f100,f121]) ).

fof(f121,plain,
    ! [X11,X12] : mult(op_c,mult(X11,X12)) = mult(mult(X11,op_c),X12),
    inference(forward_demodulation,[],[f112,f32]) ).

fof(f32,plain,
    ! [X1] : ld(op_c,mult(X1,op_c)) = X1,
    inference(superposition,[],[f2,f9]) ).

fof(f9,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

fof(f112,plain,
    ! [X11,X12] : mult(op_c,mult(X11,X12)) = mult(mult(X11,op_c),ld(op_c,mult(X12,op_c))),
    inference(superposition,[],[f9,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).

fof(f100,plain,
    ! [X21,X20] : mult(mult(X20,op_c),ld(X20,mult(X21,X20))) = mult(mult(op_c,X21),X20),
    inference(superposition,[],[f8,f9]) ).

fof(f10,axiom,
    mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:42:40 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.56  % (8096)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.21/0.57  % (8080)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.57  % (8093)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.21/0.57  % (8097)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 (2999ds/177Mi)
% 0.21/0.58  % (8089)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.21/0.58  % (8081)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 (2999ds/46Mi)
% 0.21/0.58  % (8077)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.59  % (8097)First to succeed.
% 0.21/0.59  % (8086)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 (2999ds/321Mi)
% 0.21/0.59  % (8086)Refutation not found, incomplete strategy% (8086)------------------------------
% 0.21/0.59  % (8086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (8086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (8086)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.59  
% 0.21/0.59  % (8086)Memory used [KB]: 5500
% 0.21/0.59  % (8086)Time elapsed: 0.175 s
% 0.21/0.59  % (8086)Instructions burned: 2 (million)
% 0.21/0.59  % (8086)------------------------------
% 0.21/0.59  % (8086)------------------------------
% 0.21/0.60  % (8073)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 (2999ds/10Mi)
% 0.21/0.60  % (8097)Refutation found. Thanks to Tanya!
% 0.21/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.60  % (8097)------------------------------
% 0.21/0.60  % (8097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (8097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (8097)Termination reason: Refutation
% 0.21/0.60  
% 0.21/0.60  % (8097)Memory used [KB]: 5628
% 0.21/0.60  % (8097)Time elapsed: 0.167 s
% 0.21/0.60  % (8097)Instructions burned: 7 (million)
% 0.21/0.60  % (8097)------------------------------
% 0.21/0.60  % (8097)------------------------------
% 0.21/0.60  % (8071)Success in time 0.251 s
%------------------------------------------------------------------------------