TSTP Solution File: GRP708-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n001.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 16:18:22 EDT 2022

% Result   : Unsatisfiable 1.53s 0.56s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f67]) ).

fof(f67,plain,
    ! [X10,X9] : mult(op_c,mult(X9,X10)) = mult(X9,mult(op_c,X10)),
    inference(forward_demodulation,[],[f63,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

fof(f63,plain,
    ! [X10,X9] : mult(op_c,mult(X9,X10)) = ld(op_c,mult(op_c,mult(X9,mult(op_c,X10)))),
    inference(superposition,[],[f2,f35]) ).

fof(f35,plain,
    ! [X0,X1] : mult(op_c,mult(op_c,mult(X0,X1))) = mult(op_c,mult(X0,mult(op_c,X1))),
    inference(forward_demodulation,[],[f34,f32]) ).

fof(f32,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
    inference(forward_demodulation,[],[f28,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).

fof(f28,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(unit,mult(X0,X1))),
    inference(superposition,[],[f7,f6]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

fof(f34,plain,
    ! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(op_c,mult(X0,mult(op_c,X1))),
    inference(forward_demodulation,[],[f33,f15]) ).

fof(f15,plain,
    ! [X2,X3] : mult(mult(op_c,mult(op_c,X2)),X3) = mult(op_c,mult(X2,mult(op_c,X3))),
    inference(superposition,[],[f7,f8]) ).

fof(f8,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).

fof(f33,plain,
    ! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(op_c,mult(op_c,X0)),X1),
    inference(backward_demodulation,[],[f9,f32]) ).

fof(f9,axiom,
    ! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(mult(op_c,op_c),X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).

fof(f78,plain,
    mult(a,mult(op_c,b)) != mult(op_c,mult(a,b)),
    inference(superposition,[],[f13,f8]) ).

fof(f13,plain,
    mult(a,mult(b,op_c)) != mult(op_c,mult(a,b)),
    inference(superposition,[],[f10,f8]) ).

fof(f10,axiom,
    mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % 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 : n001.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 23:08:00 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.53  % (29317)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)
% 0.20/0.53  % (29315)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)
% 0.20/0.53  % (29325)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)
% 0.20/0.53  % (29315)Instruction limit reached!
% 0.20/0.53  % (29315)------------------------------
% 0.20/0.53  % (29315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (29315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (29315)Termination reason: Unknown
% 0.20/0.53  % (29315)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (29315)Memory used [KB]: 5628
% 0.20/0.53  % (29315)Time elapsed: 0.115 s
% 0.20/0.53  % (29315)Instructions burned: 7 (million)
% 0.20/0.53  % (29315)------------------------------
% 0.20/0.53  % (29315)------------------------------
% 0.20/0.53  % (29327)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)
% 0.20/0.53  % (29333)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)
% 0.20/0.54  % (29319)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)
% 0.20/0.54  % (29323)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)
% 0.20/0.55  % (29331)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.55  % (29312)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)
% 1.53/0.55  % (29335)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)
% 1.53/0.55  % (29313)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)
% 1.53/0.55  % (29332)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 1.53/0.55  % (29324)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)
% 1.53/0.56  % (29330)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)
% 1.53/0.56  % (29327)First to succeed.
% 1.53/0.56  % (29311)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)
% 1.53/0.56  % (29338)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)
% 1.53/0.56  % (29327)Refutation found. Thanks to Tanya!
% 1.53/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.56  % (29327)------------------------------
% 1.53/0.56  % (29327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (29327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (29327)Termination reason: Refutation
% 1.53/0.56  
% 1.53/0.56  % (29327)Memory used [KB]: 10106
% 1.53/0.56  % (29327)Time elapsed: 0.149 s
% 1.53/0.56  % (29327)Instructions burned: 9 (million)
% 1.53/0.56  % (29327)------------------------------
% 1.53/0.56  % (29327)------------------------------
% 1.53/0.56  % (29308)Success in time 0.209 s
%------------------------------------------------------------------------------