TSTP Solution File: LAT031-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT031-1 : 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 : n010.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 1.73s 0.59s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   11 (  11   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   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   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f499,plain,
    $false,
    inference(subsumption_resolution,[],[f497,f6]) ).

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

fof(f497,plain,
    join(xx,meet(yy,zz)) != join(meet(yy,zz),xx),
    inference(backward_demodulation,[],[f231,f482]) ).

fof(f482,plain,
    ! [X8,X7] : join(meet(X8,X7),X7) = X7,
    inference(superposition,[],[f257,f15]) ).

fof(f15,plain,
    ! [X2,X1] : join(X1,meet(X2,X1)) = X1,
    inference(superposition,[],[f4,f5]) ).

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

fof(f4,axiom,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).

fof(f257,plain,
    ! [X3,X4] : join(X4,X3) = join(X3,join(X4,X3)),
    inference(superposition,[],[f139,f6]) ).

fof(f139,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
    inference(superposition,[],[f8,f2]) ).

fof(f2,axiom,
    ! [X0] : join(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).

fof(f8,axiom,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).

fof(f231,plain,
    join(xx,meet(yy,zz)) != join(meet(yy,zz),join(meet(zz,xx),xx)),
    inference(forward_demodulation,[],[f230,f4]) ).

fof(f230,plain,
    join(xx,meet(yy,zz)) != join(meet(yy,zz),join(meet(zz,xx),join(xx,meet(xx,yy)))),
    inference(forward_demodulation,[],[f208,f1]) ).

fof(f1,axiom,
    ! [X0] : meet(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).

fof(f208,plain,
    join(xx,meet(yy,zz)) != join(meet(yy,zz),join(meet(zz,xx),join(meet(xx,xx),meet(xx,yy)))),
    inference(backward_demodulation,[],[f173,f200]) ).

fof(f200,plain,
    ! [X14,X12,X13] : meet(join(X13,X14),X12) = join(meet(X12,X13),meet(X12,X14)),
    inference(superposition,[],[f5,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).

fof(f173,plain,
    join(xx,meet(yy,zz)) != join(meet(yy,zz),join(meet(zz,xx),meet(join(xx,yy),xx))),
    inference(backward_demodulation,[],[f164,f148]) ).

fof(f148,plain,
    ! [X11,X12,X13] : join(X13,join(X11,X12)) = join(X11,join(X12,X13)),
    inference(superposition,[],[f8,f6]) ).

fof(f164,plain,
    join(xx,meet(yy,zz)) != join(meet(zz,xx),join(meet(join(xx,yy),xx),meet(yy,zz))),
    inference(backward_demodulation,[],[f89,f158]) ).

fof(f158,plain,
    ! [X11,X12,X13] : join(X12,join(X11,X13)) = join(X11,join(X12,X13)),
    inference(forward_demodulation,[],[f143,f8]) ).

fof(f143,plain,
    ! [X11,X12,X13] : join(join(X12,X11),X13) = join(X11,join(X12,X13)),
    inference(superposition,[],[f8,f6]) ).

fof(f89,plain,
    join(xx,meet(yy,zz)) != join(meet(join(xx,yy),xx),join(meet(zz,xx),meet(yy,zz))),
    inference(superposition,[],[f21,f5]) ).

fof(f21,plain,
    join(xx,meet(yy,zz)) != join(meet(join(xx,yy),xx),join(meet(zz,xx),meet(zz,yy))),
    inference(forward_demodulation,[],[f17,f9]) ).

fof(f17,plain,
    join(xx,meet(yy,zz)) != join(meet(join(xx,yy),xx),meet(zz,join(xx,yy))),
    inference(superposition,[],[f12,f5]) ).

fof(f12,plain,
    join(xx,meet(yy,zz)) != join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)),
    inference(backward_demodulation,[],[f10,f9]) ).

fof(f10,axiom,
    join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % 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 : n010.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   : Tue Aug 30 00:35:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (25460)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)
% 0.19/0.50  % (25467)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)
% 0.19/0.51  % (25477)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)
% 0.19/0.51  % (25478)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)
% 0.19/0.51  % (25470)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)
% 0.19/0.51  % (25468)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)
% 0.19/0.52  % (25456)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.52  % (25457)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)
% 0.19/0.52  % (25459)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)
% 0.19/0.53  % (25459)Instruction limit reached!
% 0.19/0.53  % (25459)------------------------------
% 0.19/0.53  % (25459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (25459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (25459)Termination reason: Unknown
% 0.19/0.53  % (25459)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (25459)Memory used [KB]: 5500
% 0.19/0.53  % (25459)Time elapsed: 0.130 s
% 0.19/0.53  % (25459)Instructions burned: 7 (million)
% 0.19/0.53  % (25459)------------------------------
% 0.19/0.53  % (25459)------------------------------
% 0.19/0.53  % (25466)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)
% 0.19/0.53  % (25461)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)
% 0.19/0.53  % (25464)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)
% 0.19/0.53  % (25484)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)
% 0.19/0.54  % (25485)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)
% 0.19/0.54  % (25458)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  % (25476)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.54  % (25481)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)
% 0.19/0.54  % (25463)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54  % (25486)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)
% 0.19/0.54  % (25475)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)
% 0.19/0.54  % (25471)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)
% 0.19/0.54  % (25480)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  % (25465)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)
% 0.19/0.54  % (25472)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  % (25473)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)
% 0.19/0.55  % (25469)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)
% 0.19/0.55  % (25457)Instruction limit reached!
% 0.19/0.55  % (25457)------------------------------
% 0.19/0.55  % (25457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (25457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (25457)Termination reason: Unknown
% 0.19/0.55  % (25457)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (25457)Memory used [KB]: 5628
% 0.19/0.55  % (25457)Time elapsed: 0.158 s
% 0.19/0.55  % (25457)Instructions burned: 11 (million)
% 0.19/0.55  % (25457)------------------------------
% 0.19/0.55  % (25457)------------------------------
% 1.60/0.55  % (25474)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)
% 1.60/0.55  % (25483)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)
% 1.60/0.56  % (25461)Instruction limit reached!
% 1.60/0.56  % (25461)------------------------------
% 1.60/0.56  % (25461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (25461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (25461)Termination reason: Unknown
% 1.60/0.56  % (25461)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (25461)Memory used [KB]: 5884
% 1.60/0.56  % (25461)Time elapsed: 0.157 s
% 1.60/0.56  % (25461)Instructions burned: 20 (million)
% 1.60/0.56  % (25461)------------------------------
% 1.60/0.56  % (25461)------------------------------
% 1.60/0.56  % (25479)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)
% 1.60/0.57  % (25460)Instruction limit reached!
% 1.60/0.57  % (25460)------------------------------
% 1.60/0.57  % (25460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.57  % (25472)First to succeed.
% 1.73/0.57  % (25467)Instruction limit reached!
% 1.73/0.57  % (25467)------------------------------
% 1.73/0.57  % (25467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.57  % (25460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.57  % (25460)Termination reason: Unknown
% 1.73/0.57  % (25460)Termination phase: Saturation
% 1.73/0.57  
% 1.73/0.57  % (25460)Memory used [KB]: 6012
% 1.73/0.57  % (25460)Time elapsed: 0.163 s
% 1.73/0.57  % (25460)Instructions burned: 48 (million)
% 1.73/0.57  % (25460)------------------------------
% 1.73/0.57  % (25460)------------------------------
% 1.73/0.57  % (25467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.57  % (25467)Termination reason: Unknown
% 1.73/0.57  % (25467)Termination phase: Saturation
% 1.73/0.57  
% 1.73/0.57  % (25467)Memory used [KB]: 6140
% 1.73/0.57  % (25467)Time elapsed: 0.156 s
% 1.73/0.57  % (25467)Instructions burned: 49 (million)
% 1.73/0.57  % (25467)------------------------------
% 1.73/0.57  % (25467)------------------------------
% 1.73/0.58  % (25462)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)
% 1.73/0.58  % (25464)Instruction limit reached!
% 1.73/0.58  % (25464)------------------------------
% 1.73/0.58  % (25464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58  % (25464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58  % (25464)Termination reason: Unknown
% 1.73/0.58  % (25464)Termination phase: Saturation
% 1.73/0.58  
% 1.73/0.58  % (25464)Memory used [KB]: 10874
% 1.73/0.58  % (25464)Time elapsed: 0.166 s
% 1.73/0.58  % (25464)Instructions burned: 39 (million)
% 1.73/0.58  % (25464)------------------------------
% 1.73/0.58  % (25464)------------------------------
% 1.73/0.59  % (25466)Instruction limit reached!
% 1.73/0.59  % (25466)------------------------------
% 1.73/0.59  % (25466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59  % (25466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59  % (25466)Termination reason: Unknown
% 1.73/0.59  % (25466)Termination phase: Saturation
% 1.73/0.59  
% 1.73/0.59  % (25466)Memory used [KB]: 6396
% 1.73/0.59  % (25466)Time elapsed: 0.191 s
% 1.73/0.59  % (25466)Instructions burned: 38 (million)
% 1.73/0.59  % (25466)------------------------------
% 1.73/0.59  % (25466)------------------------------
% 1.73/0.59  % (25486)Also succeeded, but the first one will report.
% 1.73/0.59  % (25472)Refutation found. Thanks to Tanya!
% 1.73/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.73/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.59  % (25472)------------------------------
% 1.73/0.59  % (25472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59  % (25472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59  % (25472)Termination reason: Refutation
% 1.73/0.59  
% 1.73/0.59  % (25472)Memory used [KB]: 5756
% 1.73/0.59  % (25472)Time elapsed: 0.161 s
% 1.73/0.59  % (25472)Instructions burned: 22 (million)
% 1.73/0.59  % (25472)------------------------------
% 1.73/0.59  % (25472)------------------------------
% 1.73/0.59  % (25450)Success in time 0.239 s
%------------------------------------------------------------------------------