TSTP Solution File: LAT032-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n014.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 17:31:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   10 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 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   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f701,plain,
    $false,
    inference(subsumption_resolution,[],[f698,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).

fof(f698,plain,
    meet(xx,join(yy,zz)) != meet(join(yy,zz),xx),
    inference(superposition,[],[f695,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).

fof(f695,plain,
    meet(xx,join(yy,zz)) != meet(join(zz,yy),xx),
    inference(forward_demodulation,[],[f441,f445]) ).

fof(f445,plain,
    ! [X2,X1] : meet(join(X2,X1),X1) = X1,
    inference(superposition,[],[f396,f6]) ).

fof(f396,plain,
    ! [X3,X4] : meet(join(X3,X4),X3) = X3,
    inference(forward_demodulation,[],[f363,f2]) ).

fof(f2,axiom,
    ! [X0] : join(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).

fof(f363,plain,
    ! [X3,X4] : meet(join(X3,X4),join(X3,X3)) = X3,
    inference(backward_demodulation,[],[f16,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_join) ).

fof(f16,plain,
    ! [X3,X4] : join(X3,meet(X4,X3)) = X3,
    inference(superposition,[],[f4,f5]) ).

fof(f4,axiom,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).

fof(f441,plain,
    meet(xx,join(yy,zz)) != meet(join(zz,yy),meet(join(zz,xx),xx)),
    inference(forward_demodulation,[],[f440,f7]) ).

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

fof(f440,plain,
    meet(xx,join(yy,zz)) != meet(meet(join(zz,yy),join(zz,xx)),xx),
    inference(forward_demodulation,[],[f437,f9]) ).

fof(f437,plain,
    meet(xx,join(yy,zz)) != meet(join(zz,meet(yy,xx)),xx),
    inference(superposition,[],[f415,f6]) ).

fof(f415,plain,
    meet(xx,join(yy,zz)) != meet(join(meet(yy,xx),zz),xx),
    inference(forward_demodulation,[],[f368,f199]) ).

fof(f199,plain,
    ! [X8,X7] : join(meet(X8,X7),X7) = X7,
    inference(superposition,[],[f80,f16]) ).

fof(f80,plain,
    ! [X3,X4] : join(X4,join(X3,X4)) = join(X3,X4),
    inference(superposition,[],[f33,f6]) ).

fof(f33,plain,
    ! [X2,X1] : join(X2,X1) = join(join(X2,X1),X1),
    inference(superposition,[],[f16,f21]) ).

fof(f21,plain,
    ! [X2,X1] : meet(X1,join(X2,X1)) = X1,
    inference(superposition,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).

fof(f368,plain,
    meet(xx,join(yy,zz)) != meet(join(meet(yy,xx),zz),join(meet(yy,xx),xx)),
    inference(backward_demodulation,[],[f18,f9]) ).

fof(f18,plain,
    meet(xx,join(yy,zz)) != join(meet(yy,xx),meet(zz,xx)),
    inference(superposition,[],[f15,f5]) ).

fof(f15,plain,
    meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(zz,xx)),
    inference(backward_demodulation,[],[f10,f5]) ).

fof(f10,axiom,
    meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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   : Tue Aug 30 00:44:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (12724)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)
% 0.20/0.51  % (12724)Instruction limit reached!
% 0.20/0.51  % (12724)------------------------------
% 0.20/0.51  % (12724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (12721)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)
% 0.20/0.52  % (12723)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)
% 0.20/0.52  % (12732)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)
% 0.20/0.52  % (12738)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)
% 0.20/0.52  % (12725)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)
% 0.20/0.52  % (12742)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)
% 0.20/0.53  % (12734)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)
% 0.20/0.53  % (12725)Instruction limit reached!
% 0.20/0.53  % (12725)------------------------------
% 0.20/0.53  % (12725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12725)Termination reason: Unknown
% 0.20/0.53  % (12725)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12725)Memory used [KB]: 5500
% 0.20/0.53  % (12725)Time elapsed: 0.128 s
% 0.20/0.53  % (12725)Instructions burned: 8 (million)
% 0.20/0.53  % (12725)------------------------------
% 0.20/0.53  % (12725)------------------------------
% 0.20/0.53  % (12722)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)
% 0.20/0.53  % (12722)Instruction limit reached!
% 0.20/0.53  % (12722)------------------------------
% 0.20/0.53  % (12722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12722)Termination reason: Unknown
% 0.20/0.53  % (12722)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12722)Memory used [KB]: 5500
% 0.20/0.53  % (12722)Time elapsed: 0.128 s
% 0.20/0.53  % (12722)Instructions burned: 7 (million)
% 0.20/0.53  % (12722)------------------------------
% 0.20/0.53  % (12722)------------------------------
% 0.20/0.53  % (12719)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.53  % (12727)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  % (12748)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  % (12745)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)
% 0.20/0.53  % (12728)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)
% 0.20/0.53  % (12746)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)
% 0.20/0.54  % (12736)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)
% 0.20/0.54  % (12724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12724)Termination reason: Unknown
% 0.20/0.54  % (12724)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12724)Memory used [KB]: 5884
% 0.20/0.54  % (12724)Time elapsed: 0.112 s
% 0.20/0.54  % (12724)Instructions burned: 20 (million)
% 0.20/0.54  % (12724)------------------------------
% 0.20/0.54  % (12724)------------------------------
% 0.20/0.54  % (12733)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)
% 0.20/0.54  % (12729)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  % (12740)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)
% 0.20/0.54  % (12737)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)
% 0.20/0.54  % (12731)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)
% 0.20/0.54  % (12741)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)
% 0.20/0.54  % (12726)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54  % (12744)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)
% 0.20/0.55  % (12739)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.55  % (12730)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)
% 0.20/0.55  % (12720)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)
% 0.20/0.55  % (12743)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)
% 0.20/0.55  % (12720)Instruction limit reached!
% 0.20/0.55  % (12720)------------------------------
% 0.20/0.55  % (12720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12735)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)
% 0.20/0.57  % (12747)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)
% 0.20/0.57  % (12720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (12720)Termination reason: Unknown
% 0.20/0.57  % (12720)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (12720)Memory used [KB]: 5628
% 0.20/0.57  % (12720)Time elapsed: 0.137 s
% 0.20/0.57  % (12720)Instructions burned: 10 (million)
% 0.20/0.57  % (12720)------------------------------
% 0.20/0.57  % (12720)------------------------------
% 0.20/0.58  % (12734)First to succeed.
% 0.20/0.58  % (12734)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (12734)------------------------------
% 0.20/0.58  % (12734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (12734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (12734)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (12734)Memory used [KB]: 5884
% 0.20/0.58  % (12734)Time elapsed: 0.130 s
% 0.20/0.58  % (12734)Instructions burned: 29 (million)
% 0.20/0.58  % (12734)------------------------------
% 0.20/0.58  % (12734)------------------------------
% 0.20/0.58  % (12718)Success in time 0.218 s
%------------------------------------------------------------------------------