TSTP Solution File: LDA001-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n023.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 17:50:35 EDT 2022

% Result   : Unsatisfiable 1.38s 0.55s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f178,plain,
    $false,
    inference(subsumption_resolution,[],[f177,f12]) ).

fof(f12,plain,
    ! [X2] : f(n2,f(X2,n2)) = f(f(n2,X2),u),
    inference(superposition,[],[f1,f4]) ).

fof(f4,axiom,
    u = f(n2,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f1,axiom,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

fof(f177,plain,
    f(n2,f(u,n2)) != f(f(n2,u),u),
    inference(forward_demodulation,[],[f176,f33]) ).

fof(f33,plain,
    f(u,u) = f(n2,u),
    inference(superposition,[],[f8,f4]) ).

fof(f8,plain,
    ! [X2] : f(n2,f(n2,X2)) = f(u,f(n2,X2)),
    inference(superposition,[],[f1,f4]) ).

fof(f176,plain,
    f(f(u,u),u) != f(n2,f(u,n2)),
    inference(forward_demodulation,[],[f175,f51]) ).

fof(f51,plain,
    f(n1,n3) = f(u,n2),
    inference(forward_demodulation,[],[f45,f3]) ).

fof(f3,axiom,
    n3 = f(n2,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f45,plain,
    f(n1,f(n2,n1)) = f(u,n2),
    inference(superposition,[],[f10,f18]) ).

fof(f18,plain,
    u = f(n1,n2),
    inference(forward_demodulation,[],[f14,f4]) ).

fof(f14,plain,
    f(n2,n2) = f(n1,n2),
    inference(superposition,[],[f6,f2]) ).

fof(f2,axiom,
    n2 = f(n1,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f6,plain,
    ! [X0] : f(n2,f(n1,X0)) = f(n1,f(n1,X0)),
    inference(superposition,[],[f1,f2]) ).

fof(f10,plain,
    ! [X0] : f(f(n1,X0),n2) = f(n1,f(X0,n1)),
    inference(superposition,[],[f1,f2]) ).

fof(f175,plain,
    f(f(u,u),u) != f(n2,f(n1,n3)),
    inference(forward_demodulation,[],[f164,f7]) ).

fof(f7,plain,
    ! [X1] : f(n2,f(n1,X1)) = f(n3,f(n2,X1)),
    inference(superposition,[],[f1,f3]) ).

fof(f164,plain,
    f(f(u,u),u) != f(n3,f(n2,n3)),
    inference(superposition,[],[f5,f29]) ).

fof(f29,plain,
    ! [X0] : f(f(n3,X0),u) = f(n3,f(X0,n3)),
    inference(superposition,[],[f1,f24]) ).

fof(f24,plain,
    u = f(n3,n3),
    inference(forward_demodulation,[],[f23,f4]) ).

fof(f23,plain,
    f(n2,n2) = f(n3,n3),
    inference(forward_demodulation,[],[f19,f2]) ).

fof(f19,plain,
    f(n2,f(n1,n1)) = f(n3,n3),
    inference(superposition,[],[f7,f3]) ).

fof(f5,axiom,
    f(f(n3,n2),u) != f(f(u,u),u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 03:21:35 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  % (29440)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)
% 0.21/0.50  % (29435)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)
% 0.21/0.50  TRYING [1]
% 0.21/0.50  TRYING [2]
% 0.21/0.50  TRYING [3]
% 0.21/0.51  TRYING [4]
% 0.21/0.51  % (29443)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)
% 0.21/0.51  % (29455)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.21/0.52  % (29431)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)
% 0.21/0.53  TRYING [5]
% 0.21/0.53  % (29448)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)
% 0.21/0.53  % (29441)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.53  % (29448)First to succeed.
% 0.21/0.53  % (29435)Instruction limit reached!
% 0.21/0.53  % (29435)------------------------------
% 0.21/0.53  % (29435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (29434)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)
% 1.38/0.54  % (29435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (29435)Termination reason: Unknown
% 1.38/0.54  % (29435)Termination phase: Finite model building constraint generation
% 1.38/0.54  
% 1.38/0.54  % (29435)Memory used [KB]: 6652
% 1.38/0.54  % (29435)Time elapsed: 0.098 s
% 1.38/0.54  % (29435)Instructions burned: 51 (million)
% 1.38/0.54  % (29435)------------------------------
% 1.38/0.54  % (29435)------------------------------
% 1.38/0.54  % (29432)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)
% 1.38/0.54  % (29437)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.38/0.55  % (29437)Instruction limit reached!
% 1.38/0.55  % (29437)------------------------------
% 1.38/0.55  % (29437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55  % (29437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55  % (29437)Termination reason: Unknown
% 1.38/0.55  % (29437)Termination phase: Saturation
% 1.38/0.55  
% 1.38/0.55  % (29437)Memory used [KB]: 5373
% 1.38/0.55  % (29437)Time elapsed: 0.126 s
% 1.38/0.55  % (29437)Instructions burned: 3 (million)
% 1.38/0.55  % (29437)------------------------------
% 1.38/0.55  % (29437)------------------------------
% 1.38/0.55  % (29429)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)
% 1.38/0.55  TRYING [1]
% 1.38/0.55  TRYING [2]
% 1.38/0.55  TRYING [3]
% 1.38/0.55  % (29451)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)
% 1.38/0.55  % (29448)Refutation found. Thanks to Tanya!
% 1.38/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.38/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.55  % (29448)------------------------------
% 1.38/0.55  % (29448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55  % (29448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55  % (29448)Termination reason: Refutation
% 1.38/0.55  
% 1.38/0.55  % (29448)Memory used [KB]: 1151
% 1.38/0.55  % (29448)Time elapsed: 0.134 s
% 1.38/0.55  % (29448)Instructions burned: 11 (million)
% 1.38/0.55  % (29448)------------------------------
% 1.38/0.55  % (29448)------------------------------
% 1.38/0.55  % (29426)Success in time 0.183 s
%------------------------------------------------------------------------------