TSTP Solution File: LAT008-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 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 : n025.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 17:31:27 EDT 2022

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f335,plain,
    $false,
    inference(trivial_inequality_removal,[],[f334]) ).

fof(f334,plain,
    a != a,
    inference(superposition,[],[f3,f254]) ).

fof(f254,plain,
    ! [X21,X20] : join(X21,meet(X21,X20)) = X21,
    inference(superposition,[],[f160,f198]) ).

fof(f198,plain,
    ! [X0,X1] : meet(X1,X0) = meet(X0,X1),
    inference(forward_demodulation,[],[f186,f170]) ).

fof(f170,plain,
    ! [X13] : join(X13,X13) = X13,
    inference(superposition,[],[f158,f128]) ).

fof(f128,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(superposition,[],[f1,f106]) ).

fof(f106,plain,
    ! [X0,X1] : meet(X0,join(X1,X0)) = meet(X0,X0),
    inference(superposition,[],[f71,f1]) ).

fof(f71,plain,
    ! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,meet(X1,join(X2,X0))),
    inference(forward_demodulation,[],[f61,f24]) ).

fof(f24,plain,
    ! [X8,X6,X7] : meet(X7,join(meet(X6,X7),X8)) = meet(X7,join(X6,X8)),
    inference(forward_demodulation,[],[f20,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribution) ).

fof(f20,plain,
    ! [X8,X6,X7] : meet(X7,join(meet(X6,X7),X8)) = join(meet(X8,X7),meet(X6,X7)),
    inference(superposition,[],[f2,f10]) ).

fof(f10,plain,
    ! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
    inference(superposition,[],[f6,f1]) ).

fof(f6,plain,
    ! [X2,X0,X1] : meet(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X0,X1),
    inference(superposition,[],[f1,f2]) ).

fof(f61,plain,
    ! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = meet(X1,meet(X1,join(X2,X0))),
    inference(superposition,[],[f22,f2]) ).

fof(f22,plain,
    ! [X10,X11,X9] : meet(X10,join(X11,X9)) = meet(X10,join(X11,meet(X9,X10))),
    inference(forward_demodulation,[],[f21,f2]) ).

fof(f21,plain,
    ! [X10,X11,X9] : join(meet(X9,X10),meet(X11,X10)) = meet(X10,join(X11,meet(X9,X10))),
    inference(superposition,[],[f2,f10]) ).

fof(f1,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).

fof(f158,plain,
    ! [X8,X7] : join(meet(X8,X7),X7) = X7,
    inference(forward_demodulation,[],[f153,f1]) ).

fof(f153,plain,
    ! [X8,X7] : meet(X7,join(X7,X8)) = join(meet(X8,X7),X7),
    inference(superposition,[],[f2,f128]) ).

fof(f186,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,X0)),
    inference(superposition,[],[f170,f2]) ).

fof(f160,plain,
    ! [X10,X9] : join(X9,meet(X10,X9)) = X9,
    inference(forward_demodulation,[],[f159,f128]) ).

fof(f159,plain,
    ! [X10,X9] : join(X9,meet(X10,X9)) = meet(X9,X9),
    inference(forward_demodulation,[],[f154,f106]) ).

fof(f154,plain,
    ! [X10,X9] : join(X9,meet(X10,X9)) = meet(X9,join(X10,X9)),
    inference(superposition,[],[f2,f128]) ).

fof(f3,axiom,
    a != join(a,meet(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_absorbtion_dual) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 00:51:29 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (24086)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)
% 0.18/0.49  % (24089)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)
% 0.18/0.49  % (24090)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)
% 0.18/0.49  % (24103)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)
% 0.18/0.50  % (24093)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)
% 0.18/0.50  % (24095)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)
% 0.18/0.51  % (24091)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)
% 0.18/0.51  % (24109)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)
% 0.18/0.51  % (24085)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)
% 0.18/0.51  % (24084)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.18/0.51  % (24100)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)
% 0.18/0.51  % (24114)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)
% 0.18/0.51  % (24091)Instruction limit reached!
% 0.18/0.51  % (24091)------------------------------
% 0.18/0.51  % (24091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (24091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (24091)Termination reason: Unknown
% 0.18/0.51  % (24091)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (24091)Memory used [KB]: 5500
% 0.18/0.51  % (24091)Time elapsed: 0.129 s
% 0.18/0.51  % (24091)Instructions burned: 7 (million)
% 0.18/0.51  % (24091)------------------------------
% 0.18/0.51  % (24091)------------------------------
% 0.18/0.51  % (24115)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)
% 0.18/0.51  % (24085)Instruction limit reached!
% 0.18/0.51  % (24085)------------------------------
% 0.18/0.51  % (24085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (24085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (24085)Termination reason: Unknown
% 0.18/0.51  % (24085)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (24085)Memory used [KB]: 5628
% 0.18/0.51  % (24085)Time elapsed: 0.128 s
% 0.18/0.51  % (24085)Instructions burned: 12 (million)
% 0.18/0.51  % (24085)------------------------------
% 0.18/0.51  % (24085)------------------------------
% 0.18/0.51  % (24108)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)
% 0.18/0.51  % (24092)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.18/0.52  % (24099)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)
% 0.18/0.52  % (24087)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)
% 0.18/0.52  % (24112)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)
% 0.18/0.52  % (24102)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)
% 0.18/0.52  % (24110)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)
% 0.18/0.52  % (24087)Instruction limit reached!
% 0.18/0.52  % (24087)------------------------------
% 0.18/0.52  % (24087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (24094)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)
% 0.18/0.52  % (24106)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.18/0.52  % (24107)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)
% 0.18/0.52  % (24113)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)
% 0.18/0.52  % (24111)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)
% 0.18/0.53  % (24096)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)
% 0.18/0.53  % (24087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (24087)Termination reason: Unknown
% 0.18/0.53  % (24087)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (24087)Memory used [KB]: 5500
% 0.18/0.53  % (24087)Time elapsed: 0.127 s
% 0.18/0.53  % (24087)Instructions burned: 6 (million)
% 0.18/0.53  % (24087)------------------------------
% 0.18/0.53  % (24087)------------------------------
% 0.18/0.53  % (24097)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)
% 0.18/0.53  % (24101)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)
% 0.18/0.53  % (24098)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)
% 0.18/0.53  % (24104)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 (3000ds/103Mi)
% 0.18/0.54  % (24086)Instruction limit reached!
% 0.18/0.54  % (24086)------------------------------
% 0.18/0.54  % (24086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24086)Termination reason: Unknown
% 0.18/0.54  % (24086)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (24086)Memory used [KB]: 6268
% 0.18/0.54  % (24086)Time elapsed: 0.140 s
% 0.18/0.54  % (24086)Instructions burned: 37 (million)
% 0.18/0.54  % (24086)------------------------------
% 0.18/0.54  % (24086)------------------------------
% 0.18/0.54  % (24090)Instruction limit reached!
% 0.18/0.54  % (24090)------------------------------
% 0.18/0.54  % (24090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24090)Termination reason: Unknown
% 0.18/0.54  % (24090)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (24090)Memory used [KB]: 5756
% 0.18/0.54  % (24090)Time elapsed: 0.148 s
% 0.18/0.54  % (24090)Instructions burned: 21 (million)
% 0.18/0.54  % (24090)------------------------------
% 0.18/0.54  % (24090)------------------------------
% 0.18/0.54  % (24113)First to succeed.
% 0.18/0.55  % (24113)Refutation found. Thanks to Tanya!
% 0.18/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55  % (24113)------------------------------
% 0.18/0.55  % (24113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (24113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (24113)Termination reason: Refutation
% 0.18/0.55  
% 0.18/0.55  % (24113)Memory used [KB]: 5628
% 0.18/0.55  % (24113)Time elapsed: 0.157 s
% 0.18/0.55  % (24113)Instructions burned: 16 (million)
% 0.18/0.55  % (24113)------------------------------
% 0.18/0.55  % (24113)------------------------------
% 0.18/0.55  % (24082)Success in time 0.208 s
%------------------------------------------------------------------------------