TSTP Solution File: LAT168-1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : LAT168-1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n026.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 : Mon Jun 24 10:33:20 EDT 2024

% Result   : Unsatisfiable 1.24s 0.57s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (  28 unt;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   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   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5796,plain,
    $false,
    inference(trivial_inequality_removal,[],[f5795]) ).

fof(f5795,plain,
    meet(a,join(c,b)) != meet(a,join(c,b)),
    inference(forward_demodulation,[],[f5794,f6]) ).

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

fof(f5794,plain,
    meet(a,join(b,c)) != meet(a,join(c,b)),
    inference(forward_demodulation,[],[f5793,f287]) ).

fof(f287,plain,
    ! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(X2,join(X0,X1))),
    inference(superposition,[],[f27,f5]) ).

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

fof(f27,plain,
    ! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
    inference(superposition,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7,axiom,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5793,plain,
    meet(a,join(c,b)) != meet(a,meet(join(b,c),join(a,b))),
    inference(backward_demodulation,[],[f11,f5671]) ).

fof(f5671,plain,
    ! [X2,X0,X1] : meet(join(X0,X2),join(X1,X0)) = join(X0,meet(join(X1,X0),join(X2,meet(X1,X0)))),
    inference(superposition,[],[f4211,f6]) ).

fof(f4211,plain,
    ! [X2,X0,X1] : meet(join(X0,X2),join(X0,X1)) = join(X0,meet(join(X0,X1),join(X2,meet(X1,X0)))),
    inference(forward_demodulation,[],[f4208,f5]) ).

fof(f4208,plain,
    ! [X2,X0,X1] : meet(join(X0,X2),join(X0,X1)) = join(X0,meet(join(X2,meet(X1,X0)),join(X0,X1))),
    inference(backward_demodulation,[],[f645,f4207]) ).

fof(f4207,plain,
    ! [X2,X3,X0,X1] : meet(join(X1,meet(X2,X0)),X3) = meet(join(X0,X1),meet(X3,join(X1,meet(X2,X0)))),
    inference(forward_demodulation,[],[f4125,f33]) ).

fof(f33,plain,
    ! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
    inference(superposition,[],[f7,f5]) ).

fof(f4125,plain,
    ! [X2,X3,X0,X1] : meet(join(X1,meet(X2,X0)),X3) = meet(join(X1,meet(X2,X0)),meet(join(X0,X1),X3)),
    inference(superposition,[],[f49,f99]) ).

fof(f99,plain,
    ! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,X0))),
    inference(forward_demodulation,[],[f88,f8]) ).

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

fof(f88,plain,
    ! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X2,X0)),
    inference(superposition,[],[f37,f3]) ).

fof(f37,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
    inference(superposition,[],[f16,f7]) ).

fof(f16,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = X0,
    inference(superposition,[],[f4,f5]) ).

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

fof(f49,plain,
    ! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
    inference(superposition,[],[f7,f18]) ).

fof(f18,plain,
    ! [X0,X1] : meet(X0,join(X1,X0)) = X0,
    inference(superposition,[],[f3,f6]) ).

fof(f645,plain,
    ! [X2,X0,X1] : meet(join(X0,X2),join(X0,X1)) = join(X0,meet(join(X0,X2),meet(join(X0,X1),join(X2,meet(X1,X0))))),
    inference(superposition,[],[f9,f5]) ).

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

fof(f11,plain,
    meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) != meet(a,join(c,b)),
    inference(backward_demodulation,[],[f10,f6]) ).

fof(f10,axiom,
    meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : LAT168-1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.14  % Command    : run_vampire %s %d THM
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Jun 21 22:12:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.38  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.38  Running first-order theorem proving
% 0.14/0.38  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.44  % (2626)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (2633)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (3000ds/313Mi)
% 0.24/0.44  % (2626)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (2632)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (3000ds/1122Mi)
% 0.24/0.44  % (2626)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (2631)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (3000ds/401Mi)
% 0.24/0.44  % (2626)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (2627)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (3000ds/125345Mi)
% 0.24/0.44  % (2626)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (2628)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (3000ds/224446Mi)
% 0.24/0.44  % (2626)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (2630)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (3000ds/140Mi)
% 0.24/0.44  % (2626)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (2629)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (3000ds/107Mi)
% 0.24/0.49  % (2629)Instruction limit reached!
% 0.24/0.49  % (2629)------------------------------
% 0.24/0.49  % (2629)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.49  % (2629)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.49  % (2629)Termination reason: Time limit
% 0.24/0.49  % (2629)Termination phase: Saturation
% 0.24/0.49  
% 0.24/0.49  % (2629)Memory used [KB]: 1923
% 0.24/0.49  % (2629)Time elapsed: 0.046 s
% 0.24/0.49  % (2629)Instructions burned: 109 (million)
% 1.08/0.52  % (2630)Instruction limit reached!
% 1.08/0.52  % (2630)------------------------------
% 1.08/0.52  % (2630)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.08/0.52  % (2630)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.08/0.52  % (2630)Termination reason: Time limit
% 1.08/0.52  % (2630)Termination phase: Saturation
% 1.08/0.52  
% 1.08/0.52  % (2630)Memory used [KB]: 1726
% 1.08/0.52  % (2630)Time elapsed: 0.081 s
% 1.08/0.52  % (2630)Instructions burned: 142 (million)
% 1.08/0.53  % (2626)Running in auto input_syntax mode. Trying TPTP
% 1.08/0.53  % (2634)dis+10_1:9_bsr=unit_only:slsqr=31,32:sil=256000:tgt=full:urr=on:slsqc=2:slsq=on:i=1149:s2at=5.0:slsql=off:ins=1:rawr=on:fd=preordered:drc=encompass_0 on theBenchmark for (2999ds/1149Mi)
% 1.24/0.56  % (2633)Instruction limit reached!
% 1.24/0.56  % (2633)------------------------------
% 1.24/0.56  % (2633)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.24/0.56  % (2633)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.24/0.56  % (2633)Termination reason: Time limit
% 1.24/0.56  % (2633)Termination phase: Saturation
% 1.24/0.56  
% 1.24/0.56  % (2633)Memory used [KB]: 4120
% 1.24/0.56  % (2633)Time elapsed: 0.129 s
% 1.24/0.56  % (2633)Instructions burned: 314 (million)
% 1.24/0.57  % (2626)Running in auto input_syntax mode. Trying TPTP
% 1.24/0.57  % (2635)lrs+10_1:10_drc=encompass:sil=2000:tgt=ground:plsq=on:plsqr=92626939,1048576:sp=occurrence:fd=preordered:i=1914:kws=precedence:ins=8:rawr=on_0 on theBenchmark for (2998ds/1914Mi)
% 1.24/0.57  % (2627)First to succeed.
% 1.24/0.57  % (2627)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2626"
% 1.24/0.57  % (2626)Running in auto input_syntax mode. Trying TPTP
% 1.24/0.57  % (2627)Refutation found. Thanks to Tanya!
% 1.24/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.24/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.57  % (2627)------------------------------
% 1.24/0.57  % (2627)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.24/0.57  % (2627)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.24/0.57  % (2627)Termination reason: Refutation
% 1.24/0.57  
% 1.24/0.57  % (2627)Memory used [KB]: 2536
% 1.24/0.57  % (2627)Time elapsed: 0.130 s
% 1.24/0.57  % (2627)Instructions burned: 284 (million)
% 1.24/0.57  % (2627)------------------------------
% 1.24/0.57  % (2627)------------------------------
% 1.24/0.57  % (2626)Success in time 0.179 s
%------------------------------------------------------------------------------