TSTP Solution File: GRP564-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 16:16:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f437,plain,
    $false,
    inference(unit_resulting_resolution,[],[f4,f183]) ).

fof(f183,plain,
    ! [X0,X1] : divide(X0,inverse(X1)) = divide(X1,inverse(X0)),
    inference(superposition,[],[f79,f20]) ).

fof(f20,plain,
    ! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
    inference(forward_demodulation,[],[f12,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(divide(X0,inverse(inverse(X1))),X2),divide(X0,X2))),X3) = X1,
    inference(superposition,[],[f6,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : divide(divide(divide(divide(divide(X0,inverse(X1)),X2),inverse(X3)),divide(X0,X2)),X1) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f79,plain,
    ! [X16,X17] : divide(divide(X16,X17),inverse(X17)) = X16,
    inference(backward_demodulation,[],[f56,f68]) ).

fof(f68,plain,
    ! [X6,X7] : divide(divide(X6,X6),X7) = inverse(X7),
    inference(superposition,[],[f62,f35]) ).

fof(f35,plain,
    ! [X10,X11] : divide(divide(X10,X10),inverse(X11)) = X11,
    inference(superposition,[],[f26,f20]) ).

fof(f26,plain,
    ! [X10,X11] : divide(X11,divide(X10,X10)) = X11,
    inference(superposition,[],[f1,f20]) ).

fof(f62,plain,
    ! [X10,X11] : divide(X11,divide(X11,X10)) = X10,
    inference(forward_demodulation,[],[f54,f35]) ).

fof(f54,plain,
    ! [X10,X11,X9] : divide(X11,divide(divide(divide(X9,X9),inverse(X11)),X10)) = X10,
    inference(superposition,[],[f5,f35]) ).

fof(f5,plain,
    ! [X2,X0,X1] : divide(X1,divide(divide(X0,inverse(X1)),divide(X0,inverse(X2)))) = X2,
    inference(superposition,[],[f1,f1]) ).

fof(f56,plain,
    ! [X16,X17,X15] : divide(divide(X16,X17),divide(divide(X15,X15),X17)) = X16,
    inference(superposition,[],[f1,f35]) ).

fof(f4,plain,
    divide(b,inverse(a)) != divide(a,inverse(b)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:53:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (8415)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.20/0.50  % (8437)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 0.20/0.50  % (8442)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 (3000ds/267Mi)
% 0.20/0.50  % (8417)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 (3000ds/37Mi)
% 0.20/0.50  % (8419)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 (3000ds/48Mi)
% 0.20/0.50  % (8421)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 (3000ds/7Mi)
% 0.20/0.51  % (8434)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 (3000ds/439Mi)
% 0.20/0.51  % (8429)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 (3000ds/321Mi)
% 0.20/0.51  % (8445)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 (3000ds/48Mi)
% 0.20/0.51  % (8428)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 (3000ds/353Mi)
% 0.20/0.51  % (8418)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 (3000ds/6Mi)
% 0.20/0.51  % (8427)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 (3000ds/292Mi)
% 0.20/0.52  % (8425)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 (3000ds/37Mi)
% 0.20/0.52  % (8438)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.20/0.52  % (8440)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 (3000ds/248Mi)
% 0.20/0.52  % (8431)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 (3000ds/212Mi)
% 0.20/0.52  % (8421)Instruction limit reached!
% 0.20/0.52  % (8421)------------------------------
% 0.20/0.52  % (8421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8444)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 (3000ds/381Mi)
% 0.20/0.52  % (8436)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.20/0.52  % (8421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8421)Termination reason: Unknown
% 0.20/0.52  % (8421)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8421)Memory used [KB]: 5628
% 0.20/0.52  % (8421)Time elapsed: 0.122 s
% 0.20/0.52  % (8421)Instructions burned: 8 (million)
% 0.20/0.52  % (8421)------------------------------
% 0.20/0.52  % (8421)------------------------------
% 0.20/0.52  % (8432)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 (3000ds/48Mi)
% 0.20/0.52  % (8426)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 (3000ds/48Mi)
% 0.20/0.53  % (8439)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 (3000ds/111Mi)
% 0.20/0.53  % (8416)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 (3000ds/10Mi)
% 0.20/0.53  % (8420)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.20/0.53  % (8418)Instruction limit reached!
% 0.20/0.53  % (8418)------------------------------
% 0.20/0.53  % (8418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8429)First to succeed.
% 0.20/0.53  % (8441)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 (3000ds/177Mi)
% 0.20/0.53  % (8422)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.20/0.53  % (8433)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 (3000ds/257Mi)
% 0.20/0.53  % (8418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8418)Termination reason: Unknown
% 0.20/0.53  % (8418)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8418)Memory used [KB]: 5500
% 0.20/0.53  % (8418)Time elapsed: 0.130 s
% 0.20/0.53  % (8418)Instructions burned: 7 (million)
% 0.20/0.53  % (8418)------------------------------
% 0.20/0.53  % (8418)------------------------------
% 0.20/0.54  % (8424)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 (3000ds/46Mi)
% 0.20/0.54  % (8443)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 (3000ds/495Mi)
% 0.20/0.54  % (8417)Instruction limit reached!
% 0.20/0.54  % (8417)------------------------------
% 0.20/0.54  % (8417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8417)Termination reason: Unknown
% 0.20/0.54  % (8417)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (8417)Memory used [KB]: 6396
% 0.20/0.54  % (8417)Time elapsed: 0.148 s
% 0.20/0.54  % (8417)Instructions burned: 37 (million)
% 0.20/0.54  % (8417)------------------------------
% 0.20/0.54  % (8417)------------------------------
% 0.20/0.54  % (8423)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 (3000ds/37Mi)
% 0.20/0.54  % (8436)Also succeeded, but the first one will report.
% 0.20/0.54  % (8429)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (8429)------------------------------
% 0.20/0.54  % (8429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8429)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (8429)Memory used [KB]: 5756
% 0.20/0.54  % (8429)Time elapsed: 0.121 s
% 0.20/0.54  % (8429)Instructions burned: 26 (million)
% 0.20/0.54  % (8429)------------------------------
% 0.20/0.54  % (8429)------------------------------
% 0.20/0.54  % (8414)Success in time 0.189 s
%------------------------------------------------------------------------------