TSTP Solution File: BOO075-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n002.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 15:50:31 EDT 2022

% Result   : Unsatisfiable 1.74s 0.65s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f527,plain,
    $false,
    inference(subsumption_resolution,[],[f2,f520]) ).

fof(f520,plain,
    ! [X44,X43] : nand(nand(X43,X43),nand(X44,X43)) = X43,
    inference(forward_demodulation,[],[f493,f103]) ).

fof(f103,plain,
    ! [X19] : nand(X19,X19) = nand(X19,nand(nand(X19,X19),X19)),
    inference(forward_demodulation,[],[f90,f10]) ).

fof(f10,plain,
    ! [X3,X0,X1] : nand(nand(X1,nand(nand(X3,X1),X1)),nand(X3,nand(X0,nand(nand(X1,X0),X0)))) = X3,
    inference(superposition,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,X0))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sh_1) ).

fof(f4,plain,
    ! [X2,X3,X0,X1] : nand(nand(nand(X1,nand(X2,X0)),nand(nand(X3,nand(X1,nand(X2,X0))),nand(X1,nand(X2,X0)))),nand(X3,X1)) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f90,plain,
    ! [X19] : nand(X19,nand(nand(X19,X19),X19)) = nand(nand(nand(X19,nand(nand(X19,X19),X19)),nand(X19,nand(X19,nand(nand(X19,X19),X19)))),X19),
    inference(superposition,[],[f41,f75]) ).

fof(f75,plain,
    ! [X0,X1] : nand(nand(X1,nand(nand(X0,X1),X1)),nand(X0,nand(nand(X0,X0),X0))) = X0,
    inference(forward_demodulation,[],[f54,f10]) ).

fof(f54,plain,
    ! [X0,X1] : nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))) = nand(nand(X1,nand(nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),X1),X1)),nand(X0,nand(nand(X0,X0),X0))),
    inference(superposition,[],[f41,f1]) ).

fof(f41,plain,
    ! [X0,X1] : nand(X0,nand(nand(X0,X0),X0)) = nand(nand(X1,nand(nand(nand(X0,nand(nand(X0,X0),X0)),X1),X1)),X0),
    inference(superposition,[],[f10,f1]) ).

fof(f493,plain,
    ! [X44,X43] : nand(nand(X43,nand(nand(X43,X43),X43)),nand(X44,X43)) = X43,
    inference(superposition,[],[f1,f270]) ).

fof(f270,plain,
    ! [X36,X37] : nand(X37,X36) = nand(X36,nand(nand(nand(nand(X37,X36),nand(X37,X36)),X36),X36)),
    inference(forward_demodulation,[],[f260,f109]) ).

fof(f109,plain,
    ! [X0,X1] : nand(nand(X1,nand(nand(X0,X1),X1)),nand(X0,X0)) = X0,
    inference(backward_demodulation,[],[f75,f103]) ).

fof(f260,plain,
    ! [X36,X37] : nand(nand(nand(X37,X36),nand(nand(nand(X37,X36),nand(X37,X36)),nand(X37,X36))),nand(nand(X37,X36),nand(X37,X36))) = nand(X36,nand(nand(nand(nand(X37,X36),nand(X37,X36)),X36),X36)),
    inference(superposition,[],[f5,f110]) ).

fof(f110,plain,
    ! [X0,X1] : nand(X0,X0) = nand(nand(X1,nand(nand(nand(X0,X0),X1),X1)),X0),
    inference(backward_demodulation,[],[f41,f103]) ).

fof(f5,plain,
    ! [X2,X0,X1] : nand(X0,nand(nand(X1,X0),X0)) = nand(nand(nand(X2,X0),nand(nand(nand(X0,nand(nand(X1,X0),X0)),nand(X2,X0)),nand(X2,X0))),X1),
    inference(superposition,[],[f1,f1]) ).

fof(f2,axiom,
    a != nand(nand(a,a),nand(b,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_meredith_2_basis_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% 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
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 16:22:43 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 1.51/0.55  % (12355)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)
% 1.51/0.55  TRYING [1]
% 1.51/0.55  % (12353)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.51/0.55  TRYING [2]
% 1.51/0.55  TRYING [3]
% 1.51/0.56  % (12357)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.51/0.56  % (12363)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)
% 1.51/0.56  TRYING [4]
% 1.74/0.57  % (12357)Instruction limit reached!
% 1.74/0.57  % (12357)------------------------------
% 1.74/0.57  % (12357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57  % (12357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57  % (12357)Termination reason: Unknown
% 1.74/0.57  % (12357)Termination phase: Saturation
% 1.74/0.57  
% 1.74/0.57  % (12357)Memory used [KB]: 5373
% 1.74/0.57  % (12357)Time elapsed: 0.147 s
% 1.74/0.57  % (12357)Instructions burned: 2 (million)
% 1.74/0.57  % (12357)------------------------------
% 1.74/0.57  % (12357)------------------------------
% 1.74/0.57  % (12360)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)
% 1.74/0.57  % (12349)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)
% 1.74/0.57  TRYING [5]
% 1.74/0.57  TRYING [1]
% 1.74/0.57  TRYING [2]
% 1.74/0.57  % (12378)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)
% 1.74/0.58  TRYING [3]
% 1.74/0.58  % (12371)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)
% 1.74/0.58  TRYING [4]
% 1.74/0.58  % (12365)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)
% 1.74/0.59  % (12354)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)
% 1.74/0.60  TRYING [5]
% 1.74/0.61  % (12377)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.74/0.61  % (12372)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)
% 1.74/0.61  % (12351)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)
% 1.74/0.61  % (12376)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)
% 1.74/0.61  % (12369)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)
% 1.74/0.62  % (12368)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)
% 1.74/0.62  % (12356)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.74/0.62  % (12367)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.74/0.62  % (12364)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)
% 1.74/0.62  % (12361)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.74/0.62  % (12355)Instruction limit reached!
% 1.74/0.62  % (12355)------------------------------
% 1.74/0.62  % (12355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62  % (12355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62  % (12355)Termination reason: Unknown
% 1.74/0.62  % (12355)Termination phase: Finite model building SAT solving
% 1.74/0.62  
% 1.74/0.62  % (12355)Memory used [KB]: 6396
% 1.74/0.62  % (12355)Time elapsed: 0.156 s
% 1.74/0.62  % (12355)Instructions burned: 52 (million)
% 1.74/0.62  % (12355)------------------------------
% 1.74/0.62  % (12355)------------------------------
% 1.74/0.63  % (12352)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)
% 1.74/0.63  % (12370)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.74/0.63  % (12359)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.74/0.63  % (12373)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.74/0.63  % (12375)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)
% 1.74/0.63  % (12362)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.74/0.64  % (12353)Instruction limit reached!
% 1.74/0.64  % (12353)------------------------------
% 1.74/0.64  % (12353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.64  % (12365)First to succeed.
% 1.74/0.64  % (12356)Instruction limit reached!
% 1.74/0.64  % (12356)------------------------------
% 1.74/0.64  % (12356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.64  % (12356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.64  % (12356)Termination reason: Unknown
% 1.74/0.64  % (12356)Termination phase: Saturation
% 1.74/0.64  
% 1.74/0.64  % (12356)Memory used [KB]: 5500
% 1.74/0.64  % (12356)Time elapsed: 0.159 s
% 1.74/0.64  % (12356)Instructions burned: 8 (million)
% 1.74/0.64  % (12356)------------------------------
% 1.74/0.64  % (12356)------------------------------
% 1.74/0.65  % (12365)Refutation found. Thanks to Tanya!
% 1.74/0.65  % SZS status Unsatisfiable for theBenchmark
% 1.74/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.65  % (12365)------------------------------
% 1.74/0.65  % (12365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.65  % (12365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.65  % (12365)Termination reason: Refutation
% 1.74/0.65  
% 1.74/0.65  % (12365)Memory used [KB]: 6140
% 1.74/0.65  % (12365)Time elapsed: 0.210 s
% 1.74/0.65  % (12365)Instructions burned: 46 (million)
% 1.74/0.65  % (12365)------------------------------
% 1.74/0.65  % (12365)------------------------------
% 1.74/0.65  % (12348)Success in time 0.293 s
%------------------------------------------------------------------------------