TSTP Solution File: GRP553-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP553-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n028.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 16:16:31 EDT 2022

% Result   : Unsatisfiable 1.76s 0.58s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            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 :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   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   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f536,plain,
    $false,
    inference(unit_resulting_resolution,[],[f50,f480]) ).

fof(f480,plain,
    ! [X45] : inverse(divide(a1,a1)) != divide(X45,X45),
    inference(superposition,[],[f52,f428]) ).

fof(f428,plain,
    ! [X2,X1] : divide(X2,X2) = divide(X1,X1),
    inference(forward_demodulation,[],[f375,f55]) ).

fof(f55,plain,
    ! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
    inference(superposition,[],[f22,f50]) ).

fof(f22,plain,
    ! [X8,X7] : divide(inverse(divide(X8,X7)),inverse(X8)) = X7,
    inference(superposition,[],[f13,f13]) ).

fof(f13,plain,
    ! [X2,X1] : divide(X1,inverse(divide(X2,X1))) = X2,
    inference(superposition,[],[f5,f1]) ).

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

fof(f5,plain,
    ! [X2,X3,X0,X1] : divide(divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),inverse(divide(X3,X1))),X2) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f375,plain,
    ! [X2,X0,X1] : divide(X2,X2) = divide(X1,inverse(divide(divide(X0,X1),X0))),
    inference(superposition,[],[f20,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] : inverse(divide(divide(divide(X0,X1),X0),divide(X2,X1))) = X2,
    inference(superposition,[],[f57,f55]) ).

fof(f57,plain,
    ! [X2,X3] : inverse(divide(X2,divide(X3,inverse(X2)))) = X3,
    inference(superposition,[],[f13,f50]) ).

fof(f20,plain,
    ! [X2,X0,X1] : divide(X0,inverse(divide(X1,divide(X0,X2)))) = divide(X2,inverse(X1)),
    inference(superposition,[],[f13,f1]) ).

fof(f52,plain,
    inverse(divide(a1,a1)) != divide(inverse(b1),inverse(b1)),
    inference(backward_demodulation,[],[f4,f50]) ).

fof(f4,plain,
    divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

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

fof(f3,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

fof(f50,plain,
    ! [X4,X5] : inverse(divide(X4,X5)) = divide(inverse(X4),inverse(X5)),
    inference(superposition,[],[f13,f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP553-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n028.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 22:42:18 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.53  % (31091)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)
% 0.19/0.53  % (31089)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)
% 0.19/0.54  % (31097)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)
% 0.19/0.54  % (31092)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)
% 0.19/0.54  % (31080)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)
% 0.19/0.54  % (31075)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)
% 0.19/0.54  % (31077)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)
% 0.19/0.54  % (31080)Instruction limit reached!
% 0.19/0.54  % (31080)------------------------------
% 0.19/0.54  % (31080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (31080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (31080)Termination reason: Unknown
% 0.19/0.54  % (31080)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (31080)Memory used [KB]: 5500
% 0.19/0.54  % (31080)Time elapsed: 0.126 s
% 0.19/0.54  % (31080)Instructions burned: 8 (million)
% 0.19/0.54  % (31080)------------------------------
% 0.19/0.54  % (31080)------------------------------
% 0.19/0.54  % (31076)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)
% 0.19/0.54  % (31099)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)
% 0.19/0.55  % (31079)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)
% 0.19/0.55  % (31082)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)
% 0.19/0.55  % (31077)Instruction limit reached!
% 0.19/0.55  % (31077)------------------------------
% 0.19/0.55  % (31077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (31077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (31077)Termination reason: Unknown
% 0.19/0.55  % (31077)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (31077)Memory used [KB]: 5628
% 0.19/0.55  % (31077)Time elapsed: 0.140 s
% 0.19/0.55  % (31077)Instructions burned: 7 (million)
% 0.19/0.55  % (31077)------------------------------
% 0.19/0.55  % (31077)------------------------------
% 0.19/0.55  % (31075)Instruction limit reached!
% 0.19/0.55  % (31075)------------------------------
% 0.19/0.55  % (31075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (31075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (31075)Termination reason: Unknown
% 0.19/0.55  % (31075)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (31075)Memory used [KB]: 5628
% 0.19/0.55  % (31075)Time elapsed: 0.109 s
% 0.19/0.55  % (31075)Instructions burned: 10 (million)
% 0.19/0.55  % (31075)------------------------------
% 0.19/0.55  % (31075)------------------------------
% 0.19/0.55  % (31104)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)
% 0.19/0.55  % (31083)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)
% 0.19/0.56  % (31098)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)
% 0.19/0.56  % (31084)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)
% 0.19/0.56  % (31096)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)
% 0.19/0.56  % (31095)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.56  % (31100)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 (2999ds/177Mi)
% 0.19/0.56  % (31090)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)
% 0.19/0.56  % (31078)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)
% 0.19/0.56  % (31085)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)
% 0.19/0.56  % (31093)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)
% 0.19/0.57  % (31074)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.57  % (31088)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)
% 0.19/0.57  % (31102)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)
% 0.19/0.57  % (31081)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.57  % (31103)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)
% 0.19/0.57  % (31089)First to succeed.
% 0.19/0.58  % (31101)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)
% 0.19/0.58  % (31086)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)
% 1.76/0.58  % (31094)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)
% 1.76/0.58  % (31089)Refutation found. Thanks to Tanya!
% 1.76/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.76/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.58  % (31089)------------------------------
% 1.76/0.58  % (31089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58  % (31089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58  % (31089)Termination reason: Refutation
% 1.76/0.58  
% 1.76/0.58  % (31089)Memory used [KB]: 5884
% 1.76/0.58  % (31089)Time elapsed: 0.151 s
% 1.76/0.58  % (31089)Instructions burned: 29 (million)
% 1.76/0.58  % (31089)------------------------------
% 1.76/0.58  % (31089)------------------------------
% 1.76/0.58  % (31073)Success in time 0.223 s
%------------------------------------------------------------------------------