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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n018.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 17:35:49 EDT 2022

% Result   : Unsatisfiable 0.15s 0.55s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 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   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f204,plain,
    $false,
    inference(trivial_inequality_removal,[],[f196]) ).

fof(f196,plain,
    a != a,
    inference(superposition,[],[f3,f162]) ).

fof(f162,plain,
    ! [X18,X19] : join(X19,meet(X19,X18)) = X19,
    inference(superposition,[],[f97,f136]) ).

fof(f136,plain,
    ! [X0,X1] : meet(X1,X0) = meet(X0,X1),
    inference(forward_demodulation,[],[f128,f117]) ).

fof(f117,plain,
    ! [X13] : join(X13,X13) = X13,
    inference(superposition,[],[f97,f65]) ).

fof(f65,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(superposition,[],[f51,f1]) ).

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

fof(f51,plain,
    ! [X0,X1] : meet(X0,X0) = meet(X0,join(X1,X0)),
    inference(superposition,[],[f32,f1]) ).

fof(f32,plain,
    ! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,meet(X1,join(X2,X0))),
    inference(forward_demodulation,[],[f26,f23]) ).

fof(f23,plain,
    ! [X10,X11,X9] : meet(X10,join(X11,meet(X9,X10))) = meet(X10,join(X11,X9)),
    inference(forward_demodulation,[],[f21,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(f21,plain,
    ! [X10,X11,X9] : meet(X10,join(X11,meet(X9,X10))) = join(meet(X9,X10),meet(X11,X10)),
    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(f26,plain,
    ! [X2,X0,X1] : meet(X1,join(X0,meet(X2,X1))) = meet(X1,meet(X1,join(X2,X0))),
    inference(superposition,[],[f22,f2]) ).

fof(f22,plain,
    ! [X8,X6,X7] : meet(X7,join(meet(X6,X7),X8)) = meet(X7,join(X6,X8)),
    inference(forward_demodulation,[],[f20,f2]) ).

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(f128,plain,
    ! [X0,X1] : meet(X1,join(X0,X0)) = meet(X0,X1),
    inference(superposition,[],[f117,f2]) ).

fof(f97,plain,
    ! [X10,X9] : join(X9,meet(X10,X9)) = X9,
    inference(forward_demodulation,[],[f94,f77]) ).

fof(f77,plain,
    ! [X0,X1] : meet(X0,join(X1,X0)) = X0,
    inference(backward_demodulation,[],[f51,f65]) ).

fof(f94,plain,
    ! [X10,X9] : join(X9,meet(X10,X9)) = meet(X9,join(X10,X9)),
    inference(superposition,[],[f2,f65]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 0.09/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n018.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 00:46:24 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.15/0.46  % (24387)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.15/0.47  % (24396)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.15/0.47  % (24388)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.15/0.48  % (24395)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.15/0.48  % (24379)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.48  TRYING [1]
% 0.15/0.48  TRYING [2]
% 0.15/0.48  TRYING [3]
% 0.15/0.48  TRYING [4]
% 0.15/0.48  % (24380)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.15/0.49  % (24373)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.15/0.49  TRYING [1]
% 0.15/0.49  TRYING [2]
% 0.15/0.49  TRYING [3]
% 0.15/0.49  % (24384)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.15/0.49  % (24385)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.15/0.49  % (24386)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.15/0.50  % (24374)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.50  % (24380)Instruction limit reached!
% 0.15/0.50  % (24380)------------------------------
% 0.15/0.50  % (24380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (24380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (24380)Termination reason: Unknown
% 0.15/0.50  % (24380)Termination phase: Saturation
% 0.15/0.50  
% 0.15/0.50  % (24380)Memory used [KB]: 5500
% 0.15/0.50  % (24380)Time elapsed: 0.079 s
% 0.15/0.50  % (24380)Instructions burned: 7 (million)
% 0.15/0.50  % (24380)------------------------------
% 0.15/0.50  % (24380)------------------------------
% 0.15/0.50  % (24375)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.15/0.51  % (24376)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.51  % (24377)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.51  % (24390)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.15/0.51  TRYING [4]
% 0.15/0.51  TRYING [1]
% 0.15/0.51  TRYING [2]
% 0.15/0.51  % (24378)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.15/0.52  % (24382)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.52  % (24381)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.52  % (24381)Instruction limit reached!
% 0.15/0.52  % (24381)------------------------------
% 0.15/0.52  % (24381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (24381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (24381)Termination reason: Unknown
% 0.15/0.52  % (24381)Termination phase: Saturation
% 0.15/0.52  
% 0.15/0.52  % (24381)Memory used [KB]: 5373
% 0.15/0.52  % (24381)Time elapsed: 0.163 s
% 0.15/0.52  % (24381)Instructions burned: 2 (million)
% 0.15/0.52  % (24381)------------------------------
% 0.15/0.52  % (24381)------------------------------
% 0.15/0.52  % (24383)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.52  % (24389)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.15/0.53  % (24401)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.15/0.53  % (24402)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.15/0.53  % (24398)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.15/0.53  TRYING [5]
% 0.15/0.53  % (24379)Instruction limit reached!
% 0.15/0.53  % (24379)------------------------------
% 0.15/0.53  % (24379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (24379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (24379)Termination reason: Unknown
% 0.15/0.53  % (24379)Termination phase: Finite model building constraint generation
% 0.15/0.53  
% 0.15/0.53  % (24379)Memory used [KB]: 6908
% 0.15/0.53  % (24379)Time elapsed: 0.173 s
% 0.15/0.53  % (24379)Instructions burned: 51 (million)
% 0.15/0.53  % (24379)------------------------------
% 0.15/0.53  % (24379)------------------------------
% 0.15/0.53  % (24400)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.15/0.53  % (24397)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.53  % (24393)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.15/0.53  % (24399)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.15/0.53  % (24394)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.15/0.54  TRYING [3]
% 0.15/0.54  TRYING [4]
% 0.15/0.54  % (24391)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.15/0.55  % (24374)First to succeed.
% 0.15/0.55  % (24392)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.15/0.55  % (24374)Refutation found. Thanks to Tanya!
% 0.15/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.55  % (24374)------------------------------
% 0.15/0.55  % (24374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (24374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (24374)Termination reason: Refutation
% 0.15/0.55  
% 0.15/0.55  % (24374)Memory used [KB]: 5628
% 0.15/0.55  % (24374)Time elapsed: 0.170 s
% 0.15/0.55  % (24374)Instructions burned: 16 (million)
% 0.15/0.55  % (24374)------------------------------
% 0.15/0.55  % (24374)------------------------------
% 0.15/0.55  % (24372)Success in time 0.242 s
%------------------------------------------------------------------------------