TSTP Solution File: GRP703-10 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP703-10 : 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 : n005.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 16:18:20 EDT 2022

% Result   : Unsatisfiable 1.33s 0.54s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(subsumption_resolution,[],[f72,f44]) ).

fof(f44,plain,
    ! [X0,X1] : mult(mult(op_d,X0),X1) = mult(op_d,mult(X0,X1)),
    inference(backward_demodulation,[],[f8,f35]) ).

fof(f35,plain,
    op_c = op_d,
    inference(superposition,[],[f11,f2]) ).

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

fof(f11,axiom,
    ! [X0] : op_d = ld(X0,mult(op_c,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11) ).

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

fof(f72,plain,
    mult(mult(op_d,x2),x3) != mult(op_d,mult(x2,x3)),
    inference(backward_demodulation,[],[f14,f68]) ).

fof(f68,plain,
    op_d = op_e,
    inference(forward_demodulation,[],[f67,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

fof(f67,plain,
    ! [X0] : op_e = mult(rd(op_d,X0),X0),
    inference(forward_demodulation,[],[f62,f5]) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

fof(f62,plain,
    ! [X0] : op_e = mult(rd(op_d,mult(X0,unit)),X0),
    inference(superposition,[],[f40,f5]) ).

fof(f40,plain,
    ! [X0,X1] : op_e = mult(mult(rd(op_d,mult(X0,X1)),X1),X0),
    inference(backward_demodulation,[],[f12,f35]) ).

fof(f12,axiom,
    ! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f12) ).

fof(f14,axiom,
    mult(op_e,mult(x2,x3)) != mult(mult(op_e,x2),x3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP703-10 : 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
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:46:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (3065)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.53  % (3094)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 1.33/0.53  % (3069)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 (2999ds/6Mi)
% 1.33/0.53  % (3073)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.33/0.53  % (3069)First to succeed.
% 1.33/0.53  % (3072)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 (2999ds/7Mi)
% 1.33/0.53  % (3080)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)
% 1.33/0.53  % (3078)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 1.33/0.53  % (3075)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)
% 1.33/0.53  % (3081)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 (2999ds/212Mi)
% 1.33/0.53  % (3067)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)
% 1.33/0.54  % (3068)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 (2999ds/37Mi)
% 1.33/0.54  % (3086)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 1.33/0.54  % (3069)Refutation found. Thanks to Tanya!
% 1.33/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.33/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.54  % (3069)------------------------------
% 1.33/0.54  % (3069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (3069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54  % (3069)Termination reason: Refutation
% 1.33/0.54  
% 1.33/0.54  % (3069)Memory used [KB]: 5500
% 1.33/0.54  % (3069)Time elapsed: 0.122 s
% 1.33/0.54  % (3069)Instructions burned: 3 (million)
% 1.33/0.54  % (3069)------------------------------
% 1.33/0.54  % (3069)------------------------------
% 1.33/0.54  % (3063)Success in time 0.183 s
%------------------------------------------------------------------------------