TSTP Solution File: GRP140-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP140-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n020.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 16:14:33 EDT 2022

% Result   : Unsatisfiable 1.99s 0.62s
% Output   : Refutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% 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 :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1190,plain,
    $false,
    inference(subsumption_resolution,[],[f1189,f20]) ).

fof(f20,plain,
    greatest_lower_bound(a,b) != least_upper_bound(c,greatest_lower_bound(a,b)),
    inference(backward_demodulation,[],[f18,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f18,axiom,
    greatest_lower_bound(a,b) != least_upper_bound(greatest_lower_bound(a,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb1c) ).

fof(f1189,plain,
    greatest_lower_bound(a,b) = least_upper_bound(c,greatest_lower_bound(a,b)),
    inference(forward_demodulation,[],[f1162,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).

fof(f1162,plain,
    least_upper_bound(c,greatest_lower_bound(b,a)) = greatest_lower_bound(b,a),
    inference(superposition,[],[f691,f16]) ).

fof(f16,axiom,
    c = greatest_lower_bound(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_glb1c_1) ).

fof(f691,plain,
    ! [X0] : least_upper_bound(greatest_lower_bound(X0,c),greatest_lower_bound(b,X0)) = greatest_lower_bound(b,X0),
    inference(superposition,[],[f558,f4]) ).

fof(f558,plain,
    ! [X7] : greatest_lower_bound(b,X7) = least_upper_bound(greatest_lower_bound(c,X7),greatest_lower_bound(b,X7)),
    inference(forward_demodulation,[],[f548,f5]) ).

fof(f548,plain,
    ! [X7] : greatest_lower_bound(b,X7) = least_upper_bound(greatest_lower_bound(b,X7),greatest_lower_bound(c,X7)),
    inference(superposition,[],[f22,f469]) ).

fof(f469,plain,
    ! [X25] : greatest_lower_bound(c,X25) = greatest_lower_bound(c,greatest_lower_bound(b,X25)),
    inference(superposition,[],[f6,f19]) ).

fof(f19,plain,
    c = greatest_lower_bound(c,b),
    inference(backward_demodulation,[],[f17,f4]) ).

fof(f17,axiom,
    c = greatest_lower_bound(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_glb1c_2) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_glb) ).

fof(f22,plain,
    ! [X2,X1] : least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
    inference(superposition,[],[f10,f4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP140-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n020.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:18:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.47  % (31293)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)
% 0.19/0.48  % (31301)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)
% 0.19/0.52  % (31295)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)
% 0.19/0.52  % (31292)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)
% 0.19/0.53  % (31287)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)
% 0.19/0.54  % (31303)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)
% 0.19/0.54  % (31300)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)
% 0.19/0.55  % (31283)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  % (31282)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)
% 0.19/0.56  % (31279)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.56  % (31282)Instruction limit reached!
% 0.19/0.56  % (31282)------------------------------
% 0.19/0.56  % (31282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (31282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (31282)Termination reason: Unknown
% 0.19/0.56  % (31282)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (31282)Memory used [KB]: 5628
% 0.19/0.56  % (31282)Time elapsed: 0.153 s
% 0.19/0.56  % (31282)Instructions burned: 7 (million)
% 0.19/0.56  % (31282)------------------------------
% 0.19/0.56  % (31282)------------------------------
% 0.19/0.56  % (31308)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  % (31307)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)
% 0.19/0.56  % (31298)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)
% 0.19/0.57  % (31290)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)
% 0.19/0.57  % (31291)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)
% 0.19/0.57  % (31306)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  % (31284)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)
% 0.19/0.57  % (31299)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.57  % (31281)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)
% 0.19/0.57  % (31288)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)
% 0.19/0.57  % (31295)Instruction limit reached!
% 0.19/0.57  % (31295)------------------------------
% 0.19/0.57  % (31295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (31296)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)
% 0.19/0.58  % (31287)Instruction limit reached!
% 0.19/0.58  % (31287)------------------------------
% 0.19/0.58  % (31287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (31286)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.58  % (31287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (31287)Termination reason: Unknown
% 0.19/0.58  % (31287)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (31287)Memory used [KB]: 10874
% 0.19/0.58  % (31287)Time elapsed: 0.157 s
% 0.19/0.58  % (31287)Instructions burned: 39 (million)
% 0.19/0.58  % (31287)------------------------------
% 0.19/0.58  % (31287)------------------------------
% 0.19/0.58  % (31289)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)
% 0.19/0.58  % (31295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (31295)Termination reason: Unknown
% 0.19/0.58  % (31295)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (31295)Memory used [KB]: 6140
% 0.19/0.58  % (31295)Time elapsed: 0.156 s
% 0.19/0.58  % (31295)Instructions burned: 48 (million)
% 0.19/0.58  % (31295)------------------------------
% 0.19/0.58  % (31295)------------------------------
% 0.19/0.58  % (31304)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)
% 0.19/0.58  % (31305)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)
% 0.19/0.59  % (31280)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)
% 0.19/0.59  % (31285)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)
% 0.19/0.59  % (31280)Instruction limit reached!
% 0.19/0.59  % (31280)------------------------------
% 0.19/0.59  % (31280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (31280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (31280)Termination reason: Unknown
% 0.19/0.59  % (31280)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (31280)Memory used [KB]: 5756
% 0.19/0.59  % (31280)Time elapsed: 0.161 s
% 0.19/0.59  % (31280)Instructions burned: 12 (million)
% 0.19/0.59  % (31280)------------------------------
% 0.19/0.59  % (31280)------------------------------
% 0.19/0.59  % (31302)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)
% 0.19/0.59  % (31285)Instruction limit reached!
% 0.19/0.59  % (31285)------------------------------
% 0.19/0.59  % (31285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (31285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (31285)Termination reason: Unknown
% 0.19/0.59  % (31285)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (31285)Memory used [KB]: 5500
% 0.19/0.59  % (31285)Time elapsed: 0.188 s
% 0.19/0.59  % (31285)Instructions burned: 7 (million)
% 0.19/0.59  % (31285)------------------------------
% 0.19/0.59  % (31285)------------------------------
% 0.19/0.59  % (31297)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)
% 0.19/0.60  % (31294)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)
% 0.19/0.61  % (31292)First to succeed.
% 1.99/0.62  % (31279)Also succeeded, but the first one will report.
% 1.99/0.62  % (31292)Refutation found. Thanks to Tanya!
% 1.99/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.99/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.62  % (31292)------------------------------
% 1.99/0.62  % (31292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (31292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62  % (31292)Termination reason: Refutation
% 1.99/0.62  
% 1.99/0.62  % (31292)Memory used [KB]: 6268
% 1.99/0.62  % (31292)Time elapsed: 0.199 s
% 1.99/0.62  % (31292)Instructions burned: 48 (million)
% 1.99/0.62  % (31292)------------------------------
% 1.99/0.62  % (31292)------------------------------
% 1.99/0.62  % (31278)Success in time 0.259 s
%------------------------------------------------------------------------------