TSTP Solution File: COL058-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL058-3 : 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 : n001.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 15:52:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (  25 unt;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f158,plain,
    $false,
    inference(trivial_inequality_removal,[],[f152]) ).

fof(f152,plain,
    sF3 != sF3,
    inference(superposition,[],[f8,f135]) ).

fof(f135,plain,
    sF4 = sF3,
    inference(superposition,[],[f121,f7]) ).

fof(f7,plain,
    sF4 = response(sF3,sF3),
    introduced(function_definition,[]) ).

fof(f121,plain,
    response(sF3,sF3) = sF3,
    inference(superposition,[],[f1,f116]) ).

fof(f116,plain,
    sF3 = response(response(lark,sF3),response(lark,sF3)),
    inference(forward_demodulation,[],[f111,f6]) ).

fof(f6,plain,
    response(sF2,sF1) = sF3,
    introduced(function_definition,[]) ).

fof(f111,plain,
    response(sF2,sF1) = response(response(lark,sF3),response(lark,sF3)),
    inference(superposition,[],[f68,f63]) ).

fof(f63,plain,
    response(sF1,sF1) = response(lark,sF3),
    inference(forward_demodulation,[],[f52,f6]) ).

fof(f52,plain,
    response(sF1,sF1) = response(lark,response(sF2,sF1)),
    inference(superposition,[],[f23,f5]) ).

fof(f5,plain,
    response(sF0,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f23,plain,
    ! [X0] : response(lark,response(response(sF0,X0),X0)) = response(sF1,X0),
    inference(forward_demodulation,[],[f22,f9]) ).

fof(f9,plain,
    ! [X0] : response(lark,response(X0,X0)) = response(sF0,X0),
    inference(superposition,[],[f1,f3]) ).

fof(f3,plain,
    response(lark,lark) = sF0,
    introduced(function_definition,[]) ).

fof(f22,plain,
    ! [X0] : response(lark,response(response(lark,response(X0,X0)),X0)) = response(sF1,X0),
    inference(forward_demodulation,[],[f15,f10]) ).

fof(f10,plain,
    ! [X1] : response(sF0,response(X1,X1)) = response(sF1,X1),
    inference(superposition,[],[f1,f4]) ).

fof(f4,plain,
    response(lark,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f15,plain,
    ! [X0] : response(lark,response(response(lark,response(X0,X0)),X0)) = response(sF0,response(X0,X0)),
    inference(superposition,[],[f9,f1]) ).

fof(f68,plain,
    ! [X1] : response(sF2,X1) = response(response(lark,sF3),response(X1,X1)),
    inference(forward_demodulation,[],[f65,f5]) ).

fof(f65,plain,
    ! [X1] : response(response(lark,sF3),response(X1,X1)) = response(response(sF0,sF1),X1),
    inference(superposition,[],[f13,f63]) ).

fof(f13,plain,
    ! [X2,X3] : response(response(X2,X2),response(X3,X3)) = response(response(sF0,X2),X3),
    inference(forward_demodulation,[],[f11,f3]) ).

fof(f11,plain,
    ! [X2,X3] : response(response(X2,X2),response(X3,X3)) = response(response(response(lark,lark),X2),X3),
    inference(superposition,[],[f1,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_exists) ).

fof(f8,plain,
    sF4 != sF3,
    inference(definition_folding,[],[f2,f7,f6,f4,f3,f5,f4,f3,f3,f6,f4,f3,f5,f4,f3,f3,f6,f4,f3,f5,f4,f3,f3]) ).

fof(f2,axiom,
    response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_bird_exists) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33  % Computer : n001.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon Aug 29 17:05:59 EDT 2022
% 0.14/0.33  % CPUTime    : 
% 0.20/0.47  % (13993)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.47  % (14010)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.47  % (13993)Instruction limit reached!
% 0.20/0.47  % (13993)------------------------------
% 0.20/0.47  % (13993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (13993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (13993)Termination reason: Unknown
% 0.20/0.47  % (13993)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (13993)Memory used [KB]: 5373
% 0.20/0.47  % (13993)Time elapsed: 0.100 s
% 0.20/0.47  % (13993)Instructions burned: 2 (million)
% 0.20/0.47  % (13993)------------------------------
% 0.20/0.47  % (13993)------------------------------
% 0.20/0.48  % (13991)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)
% 0.20/0.48  TRYING [1]
% 0.20/0.48  TRYING [2]
% 0.20/0.48  TRYING [3]
% 0.20/0.48  % (13995)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.48  % (14001)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)
% 0.20/0.48  TRYING [4]
% 0.20/0.49  % (13987)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)
% 0.20/0.49  % (13996)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)
% 0.20/0.49  % (13996)First to succeed.
% 0.20/0.49  TRYING [5]
% 0.20/0.50  % (13994)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)
% 0.20/0.50  % (13996)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (13996)------------------------------
% 0.20/0.50  % (13996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (13996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (13996)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (13996)Memory used [KB]: 5500
% 0.20/0.50  % (13996)Time elapsed: 0.099 s
% 0.20/0.50  % (13996)Instructions burned: 7 (million)
% 0.20/0.50  % (13996)------------------------------
% 0.20/0.50  % (13996)------------------------------
% 0.20/0.50  % (13981)Success in time 0.158 s
%------------------------------------------------------------------------------