TSTP Solution File: LAT011-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LAT011-1 : 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 : n007.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 17:35:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   39 (  39 unt;   0 def)
%            Number of atoms       :   39 (  38 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f430,plain,
    $false,
    inference(subsumption_resolution,[],[f429,f17]) ).

fof(f17,plain,
    sF0 != sF1,
    inference(definition_folding,[],[f14,f16,f15]) ).

fof(f15,plain,
    meet(a,b) = sF0,
    introduced(function_definition,[]) ).

fof(f16,plain,
    meet2(a,b) = sF1,
    introduced(function_definition,[]) ).

fof(f14,axiom,
    meet(a,b) != meet2(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_meets_are_same) ).

fof(f429,plain,
    sF0 = sF1,
    inference(forward_demodulation,[],[f428,f99]) ).

fof(f99,plain,
    sF0 = meet2(a,sF0),
    inference(superposition,[],[f10,f92]) ).

fof(f92,plain,
    sF0 = meet2(sF0,a),
    inference(superposition,[],[f31,f21]) ).

fof(f21,plain,
    a = join(a,sF0),
    inference(superposition,[],[f4,f15]) ).

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

fof(f31,plain,
    ! [X6,X5] : meet2(X5,join(X6,X5)) = X5,
    inference(superposition,[],[f11,f6]) ).

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

fof(f11,axiom,
    ! [X0,X1] : meet2(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1_2) ).

fof(f10,axiom,
    ! [X0,X1] : meet2(X0,X1) = meet2(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet2) ).

fof(f428,plain,
    meet2(a,sF0) = sF1,
    inference(forward_demodulation,[],[f410,f289]) ).

fof(f289,plain,
    sF1 = meet2(sF1,sF0),
    inference(superposition,[],[f31,f284]) ).

fof(f284,plain,
    sF0 = join(sF0,sF1),
    inference(superposition,[],[f4,f275]) ).

fof(f275,plain,
    meet(sF0,sF1) = sF1,
    inference(forward_demodulation,[],[f262,f68]) ).

fof(f68,plain,
    meet(a,sF1) = sF1,
    inference(superposition,[],[f58,f5]) ).

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

fof(f58,plain,
    sF1 = meet(sF1,a),
    inference(superposition,[],[f27,f37]) ).

fof(f37,plain,
    a = join(a,sF1),
    inference(superposition,[],[f12,f16]) ).

fof(f12,axiom,
    ! [X0,X1] : join(X0,meet2(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2_2) ).

fof(f27,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/sandbox2/benchmark/theBenchmark.p',absorption1) ).

fof(f262,plain,
    meet(a,sF1) = meet(sF0,sF1),
    inference(superposition,[],[f136,f196]) ).

fof(f196,plain,
    meet(b,sF1) = sF1,
    inference(superposition,[],[f5,f189]) ).

fof(f189,plain,
    meet(sF1,b) = sF1,
    inference(superposition,[],[f27,f119]) ).

fof(f119,plain,
    b = join(b,sF1),
    inference(superposition,[],[f34,f16]) ).

fof(f34,plain,
    ! [X2,X1] : join(X1,meet2(X2,X1)) = X1,
    inference(superposition,[],[f12,f10]) ).

fof(f136,plain,
    ! [X18] : meet(sF0,X18) = meet(a,meet(b,X18)),
    inference(superposition,[],[f7,f15]) ).

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

fof(f410,plain,
    meet2(a,sF0) = meet2(sF1,sF0),
    inference(superposition,[],[f204,f110]) ).

fof(f110,plain,
    sF0 = meet2(b,sF0),
    inference(superposition,[],[f10,f94]) ).

fof(f94,plain,
    sF0 = meet2(sF0,b),
    inference(superposition,[],[f31,f46]) ).

fof(f46,plain,
    b = join(b,sF0),
    inference(superposition,[],[f25,f15]) ).

fof(f25,plain,
    ! [X3,X4] : join(X3,meet(X4,X3)) = X3,
    inference(superposition,[],[f4,f5]) ).

fof(f204,plain,
    ! [X18] : meet2(sF1,X18) = meet2(a,meet2(b,X18)),
    inference(superposition,[],[f13,f16]) ).

fof(f13,axiom,
    ! [X2,X0,X1] : meet2(meet2(X0,X1),X2) = meet2(X0,meet2(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LAT011-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.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 00:27:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (26996)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 (2999ds/37Mi)
% 0.19/0.50  % (27004)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (27011)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50  % (26998)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (27003)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 (2999ds/51Mi)
% 0.19/0.51  % (27019)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (27010)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 (2999ds/99Mi)
% 0.19/0.51  % (27002)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (27016)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 (2999ds/498Mi)
% 0.19/0.52  % (27006)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (26995)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (27021)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 (2999ds/177Mi)
% 0.19/0.52  % (27000)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (26994)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 (2999ds/191324Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  TRYING [3]
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (26997)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (27018)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (27017)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 (2999ds/467Mi)
% 0.19/0.53  % (27023)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 (2999ds/355Mi)
% 0.19/0.53  % (27009)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 (2999ds/75Mi)
% 0.19/0.53  TRYING [4]
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (27019)First to succeed.
% 0.19/0.53  % (27013)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 (2999ds/100Mi)
% 0.19/0.53  % (27015)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (27012)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (27001)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (27002)Instruction limit reached!
% 0.19/0.54  % (27002)------------------------------
% 0.19/0.54  % (27002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (27002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (27002)Termination reason: Unknown
% 0.19/0.54  % (27002)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (27002)Memory used [KB]: 5373
% 0.19/0.54  % (27002)Time elapsed: 0.126 s
% 0.19/0.54  % (27002)Instructions burned: 3 (million)
% 0.19/0.54  % (27002)------------------------------
% 0.19/0.54  % (27002)------------------------------
% 0.19/0.54  % (27019)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (27019)------------------------------
% 0.19/0.54  % (27019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (27019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (27019)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (27019)Memory used [KB]: 5756
% 0.19/0.54  % (27019)Time elapsed: 0.136 s
% 0.19/0.54  % (27019)Instructions burned: 20 (million)
% 0.19/0.54  % (27019)------------------------------
% 0.19/0.54  % (27019)------------------------------
% 0.19/0.54  % (26993)Success in time 0.19 s
%------------------------------------------------------------------------------