TSTP Solution File: SYN567-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN567-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n018.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 19:38:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   29 (  21 unt;   0 def)
%            Number of atoms       :   49 (   9 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   37 (  17   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  11 con; 0-1 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,plain,
    $false,
    inference(subsumption_resolution,[],[f158,f115]) ).

fof(f115,plain,
    p5(f8(sF3),c9),
    inference(superposition,[],[f3,f24]) ).

fof(f24,plain,
    f6(c9) = sF3,
    introduced(function_definition,[]) ).

fof(f3,axiom,
    ! [X2] : p5(f8(f6(X2)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).

fof(f158,plain,
    ~ p5(f8(sF3),c9),
    inference(subsumption_resolution,[],[f157,f35]) ).

fof(f35,plain,
    ~ p2(sF3,sF7),
    inference(definition_folding,[],[f6,f29,f25,f21,f20,f24]) ).

fof(f20,plain,
    f4(c10) = sF0,
    introduced(function_definition,[]) ).

fof(f21,plain,
    sF1 = f7(sF0),
    introduced(function_definition,[]) ).

fof(f25,plain,
    sF4 = f7(sF1),
    introduced(function_definition,[]) ).

fof(f29,plain,
    f3(sF4) = sF7,
    introduced(function_definition,[]) ).

fof(f6,axiom,
    ~ p2(f6(c9),f3(f7(f7(f4(c10))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_6) ).

fof(f157,plain,
    ( p2(sF3,sF7)
    | ~ p5(f8(sF3),c9) ),
    inference(subsumption_resolution,[],[f156,f31]) ).

fof(f31,plain,
    ~ p2(sF3,sF2),
    inference(definition_folding,[],[f5,f22,f21,f20,f24]) ).

fof(f22,plain,
    f3(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f5,axiom,
    ~ p2(f6(c9),f3(f7(f4(c10)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_5) ).

fof(f156,plain,
    ( p2(sF3,sF2)
    | ~ p5(f8(sF3),c9)
    | p2(sF3,sF7) ),
    inference(subsumption_resolution,[],[f155,f28]) ).

fof(f28,plain,
    ~ p2(sF3,sF6),
    inference(definition_folding,[],[f12,f27,f26,f25,f21,f20,f24]) ).

fof(f26,plain,
    sF5 = f7(sF4),
    introduced(function_definition,[]) ).

fof(f27,plain,
    sF6 = f3(sF5),
    introduced(function_definition,[]) ).

fof(f12,axiom,
    ~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_12) ).

fof(f155,plain,
    ( p2(sF3,sF6)
    | p2(sF3,sF7)
    | p2(sF3,sF2)
    | ~ p5(f8(sF3),c9) ),
    inference(subsumption_resolution,[],[f151,f37]) ).

fof(f37,plain,
    ~ p2(sF3,sF8),
    inference(definition_folding,[],[f4,f32,f20,f24]) ).

fof(f32,plain,
    f3(sF0) = sF8,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ~ p2(f6(c9),f3(f4(c10))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_4) ).

fof(f151,plain,
    ( p2(sF3,sF8)
    | ~ p5(f8(sF3),c9)
    | p2(sF3,sF7)
    | p2(sF3,sF6)
    | p2(sF3,sF2) ),
    inference(resolution,[],[f117,f33]) ).

fof(f33,plain,
    ! [X17] :
      ( ~ p2(f6(f8(X17)),X17)
      | p2(X17,sF8)
      | p2(X17,sF6)
      | p2(X17,sF2)
      | p2(X17,sF7) ),
    inference(definition_folding,[],[f19,f29,f25,f21,f20,f22,f21,f20,f27,f26,f25,f21,f20,f32,f20]) ).

fof(f19,axiom,
    ! [X17] :
      ( p2(X17,f3(f4(c10)))
      | ~ p2(f6(f8(X17)),X17)
      | p2(X17,f3(f7(f7(f7(f4(c10))))))
      | p2(X17,f3(f7(f4(c10))))
      | p2(X17,f3(f7(f7(f4(c10))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).

fof(f117,plain,
    ! [X1] :
      ( p2(f6(X1),sF3)
      | ~ p5(X1,c9) ),
    inference(superposition,[],[f10,f24]) ).

fof(f10,axiom,
    ! [X10,X9] :
      ( p2(f6(X9),f6(X10))
      | ~ p5(X9,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN567-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % 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 : n018.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   : Tue Aug 30 22:12:25 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (9000)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (9016)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)
% 0.20/0.49  % (8993)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)
% 0.20/0.50  % (9000)Instruction limit reached!
% 0.20/0.50  % (9000)------------------------------
% 0.20/0.50  % (9000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (9001)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50  % (9008)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)
% 0.20/0.51  % (9009)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)
% 0.20/0.51  % (9001)Instruction limit reached!
% 0.20/0.51  % (9001)------------------------------
% 0.20/0.51  % (9001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (9001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (9001)Termination reason: Unknown
% 0.20/0.51  % (9001)Termination phase: Blocked clause elimination
% 0.20/0.51  
% 0.20/0.51  % (8997)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (9001)Memory used [KB]: 895
% 0.20/0.51  % (9001)Time elapsed: 0.003 s
% 0.20/0.51  % (9001)Instructions burned: 2 (million)
% 0.20/0.51  % (9001)------------------------------
% 0.20/0.51  % (9001)------------------------------
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (9000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (9000)Termination reason: Unknown
% 0.20/0.51  % (9000)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (9000)Memory used [KB]: 5500
% 0.20/0.51  % (9000)Time elapsed: 0.100 s
% 0.20/0.51  % (9000)Instructions burned: 7 (million)
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (9000)------------------------------
% 0.20/0.51  % (9000)------------------------------
% 0.20/0.51  % (9015)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)
% 0.20/0.51  % (9003)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  TRYING [4]
% 0.20/0.52  TRYING [5]
% 0.20/0.52  % (9008)First to succeed.
% 0.20/0.52  % (9007)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 (2999ds/68Mi)
% 0.20/0.52  % (9008)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (9008)------------------------------
% 0.20/0.52  % (9008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9008)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (9008)Memory used [KB]: 1023
% 0.20/0.52  % (9008)Time elapsed: 0.123 s
% 0.20/0.52  % (9008)Instructions burned: 8 (million)
% 0.20/0.52  % (9008)------------------------------
% 0.20/0.52  % (9008)------------------------------
% 0.20/0.52  % (8992)Success in time 0.169 s
%------------------------------------------------------------------------------