TSTP Solution File: GRP680-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP680-1 : 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 : n022.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 16:18:14 EDT 2022

% Result   : Unsatisfiable 1.51s 0.54s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f260,plain,
    $false,
    inference(trivial_inequality_removal,[],[f255]) ).

fof(f255,plain,
    mult(a,i(op_c)) != mult(a,i(op_c)),
    inference(superposition,[],[f10,f213]) ).

fof(f213,plain,
    ! [X1] : mult(X1,i(op_c)) = mult(i(op_c),X1),
    inference(superposition,[],[f204,f21]) ).

fof(f21,plain,
    ! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
    inference(superposition,[],[f8,f13]) ).

fof(f13,plain,
    ! [X2,X3] : mult(X2,X3) = mult(i(i(X2)),X3),
    inference(superposition,[],[f8,f8]) ).

fof(f8,axiom,
    ! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).

fof(f204,plain,
    ! [X1] : mult(mult(op_c,X1),i(op_c)) = X1,
    inference(forward_demodulation,[],[f203,f21]) ).

fof(f203,plain,
    ! [X1] : mult(mult(op_c,X1),i(op_c)) = mult(op_c,mult(i(op_c),X1)),
    inference(forward_demodulation,[],[f194,f9]) ).

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

fof(f194,plain,
    ! [X1] : mult(mult(i(op_c),X1),op_c) = mult(mult(op_c,X1),i(op_c)),
    inference(superposition,[],[f187,f21]) ).

fof(f187,plain,
    ! [X7] : mult(X7,op_c) = mult(mult(op_c,mult(op_c,X7)),i(op_c)),
    inference(forward_demodulation,[],[f186,f19]) ).

fof(f19,plain,
    ! [X2] : op_c = mult(X2,mult(op_c,i(X2))),
    inference(superposition,[],[f13,f12]) ).

fof(f12,plain,
    ! [X1] : op_c = mult(i(X1),mult(op_c,X1)),
    inference(superposition,[],[f8,f9]) ).

fof(f186,plain,
    ! [X7] : mult(mult(op_c,mult(op_c,X7)),i(op_c)) = mult(X7,mult(op_c,mult(op_c,i(op_c)))),
    inference(forward_demodulation,[],[f180,f8]) ).

fof(f180,plain,
    ! [X7] : mult(mult(op_c,mult(op_c,X7)),i(op_c)) = mult(i(op_c),mult(op_c,mult(X7,mult(op_c,mult(op_c,i(op_c)))))),
    inference(superposition,[],[f120,f82]) ).

fof(f82,plain,
    ! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
    inference(superposition,[],[f7,f9]) ).

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

fof(f120,plain,
    ! [X1] : mult(i(op_c),mult(X1,mult(op_c,i(op_c)))) = mult(X1,i(op_c)),
    inference(forward_demodulation,[],[f114,f9]) ).

fof(f114,plain,
    ! [X1] : mult(X1,i(op_c)) = mult(i(op_c),mult(X1,mult(i(op_c),op_c))),
    inference(superposition,[],[f70,f7]) ).

fof(f70,plain,
    ! [X0] : mult(mult(i(op_c),X0),op_c) = X0,
    inference(superposition,[],[f21,f46]) ).

fof(f46,plain,
    ! [X0] : op_c = mult(i(mult(i(op_c),X0)),X0),
    inference(superposition,[],[f12,f21]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n022.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 22:46:11 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (31457)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)
% 0.20/0.50  % (31449)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)
% 0.20/0.51  % (31445)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)
% 0.20/0.51  % (31451)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)
% 1.38/0.52  % (31436)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)
% 1.38/0.52  % (31438)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)
% 1.38/0.52  % (31441)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)
% 1.38/0.52  % (31438)Instruction limit reached!
% 1.38/0.52  % (31438)------------------------------
% 1.38/0.52  % (31438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.52  % (31438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.52  % (31438)Termination reason: Unknown
% 1.38/0.52  % (31438)Termination phase: Saturation
% 1.38/0.52  
% 1.38/0.52  % (31438)Memory used [KB]: 5500
% 1.38/0.52  % (31438)Time elapsed: 0.128 s
% 1.38/0.52  % (31438)Instructions burned: 7 (million)
% 1.38/0.52  % (31438)------------------------------
% 1.38/0.52  % (31438)------------------------------
% 1.38/0.52  % (31462)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)
% 1.38/0.52  % (31458)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)
% 1.38/0.53  % (31440)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)
% 1.38/0.53  % (31437)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)
% 1.38/0.53  % (31439)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)
% 1.38/0.53  % (31461)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)
% 1.38/0.53  % (31464)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)
% 1.38/0.53  % (31435)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.38/0.53  % (31441)Instruction limit reached!
% 1.38/0.53  % (31441)------------------------------
% 1.38/0.53  % (31441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53  % (31441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53  % (31441)Termination reason: Unknown
% 1.38/0.53  % (31441)Termination phase: Saturation
% 1.38/0.53  
% 1.38/0.53  % (31441)Memory used [KB]: 5500
% 1.38/0.53  % (31441)Time elapsed: 0.087 s
% 1.38/0.53  % (31441)Instructions burned: 7 (million)
% 1.38/0.53  % (31441)------------------------------
% 1.38/0.53  % (31441)------------------------------
% 1.38/0.53  % (31459)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)
% 1.38/0.53  % (31456)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)
% 1.38/0.53  % (31453)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)
% 1.51/0.54  % (31450)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)
% 1.51/0.54  % (31454)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)
% 1.51/0.54  % (31449)First to succeed.
% 1.51/0.54  % (31455)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.51/0.54  % (31452)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)
% 1.51/0.54  % (31449)Refutation found. Thanks to Tanya!
% 1.51/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.54  % (31449)------------------------------
% 1.51/0.54  % (31449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54  % (31449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54  % (31449)Termination reason: Refutation
% 1.51/0.54  
% 1.51/0.54  % (31449)Memory used [KB]: 5756
% 1.51/0.54  % (31449)Time elapsed: 0.099 s
% 1.51/0.54  % (31449)Instructions burned: 16 (million)
% 1.51/0.54  % (31449)------------------------------
% 1.51/0.54  % (31449)------------------------------
% 1.51/0.54  % (31434)Success in time 0.189 s
%------------------------------------------------------------------------------