TSTP Solution File: GRP702-12 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP702-12 : 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 : n015.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 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% 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 :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,plain,
    $false,
    inference(trivial_inequality_removal,[],[f52]) ).

fof(f52,plain,
    mult(x0,mult(op_d,x1)) != mult(x0,mult(op_d,x1)),
    inference(backward_demodulation,[],[f14,f47]) ).

fof(f47,plain,
    ! [X0,X1] : mult(X0,mult(op_d,X1)) = mult(mult(X0,op_d),X1),
    inference(backward_demodulation,[],[f10,f45]) ).

fof(f45,plain,
    op_c = op_d,
    inference(forward_demodulation,[],[f44,f5]) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

fof(f44,plain,
    op_d = mult(op_c,unit),
    inference(superposition,[],[f15,f11]) ).

fof(f11,axiom,
    ! [X0] : op_d = ld(X0,mult(op_c,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).

fof(f15,plain,
    ! [X2] : ld(unit,X2) = X2,
    inference(superposition,[],[f1,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

fof(f10,axiom,
    ! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).

fof(f14,axiom,
    mult(x0,mult(op_d,x1)) != mult(mult(x0,op_d),x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP702-12 : TPTP v8.1.0. Released v8.1.0.
% 0.13/0.13  % 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 : n015.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 22:58:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (14840)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 (2999ds/353Mi)
% 0.21/0.52  % (14856)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.52  % (14832)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)
% 0.21/0.52  % (14845)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 (2999ds/439Mi)
% 0.21/0.52  % (14848)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)
% 0.21/0.52  % (14854)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)
% 0.21/0.52  % (14856)First to succeed.
% 0.21/0.52  % (14830)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)
% 0.21/0.52  % (14853)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 (2999ds/267Mi)
% 0.21/0.52  % (14843)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53  % (14833)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)
% 0.21/0.53  % (14846)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)
% 0.21/0.53  % (14827)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  % (14855)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.21/0.53  % (14836)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)
% 0.21/0.53  % (14856)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (14856)------------------------------
% 0.21/0.53  % (14856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (14856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (14856)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (14856)Memory used [KB]: 5500
% 0.21/0.53  % (14856)Time elapsed: 0.116 s
% 0.21/0.53  % (14856)Instructions burned: 3 (million)
% 0.21/0.53  % (14856)------------------------------
% 0.21/0.53  % (14856)------------------------------
% 0.21/0.53  % (14826)Success in time 0.18 s
%------------------------------------------------------------------------------