TSTP Solution File: SYN585-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN585-1 : 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 : n022.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 19:38:59 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (  16 unt;   0 def)
%            Number of atoms       :   36 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f192,plain,
    $false,
    inference(subsumption_resolution,[],[f189,f45]) ).

fof(f45,plain,
    ~ p11(c18,sF8),
    inference(definition_folding,[],[f12,f44,f32]) ).

fof(f32,plain,
    f8(c16,c14) = sF2,
    introduced(function_definition,[]) ).

fof(f44,plain,
    f9(c12,sF2) = sF8,
    introduced(function_definition,[]) ).

fof(f12,axiom,
    ~ p11(c18,f9(c12,f8(c16,c14))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_12) ).

fof(f189,plain,
    p11(c18,sF8),
    inference(resolution,[],[f187,f48]) ).

fof(f48,plain,
    ! [X6] :
      ( ~ p11(sF1,X6)
      | p11(c18,X6) ),
    inference(resolution,[],[f16,f30]) ).

fof(f30,plain,
    p11(c18,sF1),
    inference(definition_folding,[],[f7,f29]) ).

fof(f29,plain,
    f9(c12,c14) = sF1,
    introduced(function_definition,[]) ).

fof(f7,axiom,
    p11(c18,f9(c12,c14)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).

fof(f16,axiom,
    ! [X10,X11,X9] :
      ( ~ p11(X9,X11)
      | ~ p11(X11,X10)
      | p11(X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_16) ).

fof(f187,plain,
    p11(sF1,sF8),
    inference(forward_demodulation,[],[f184,f44]) ).

fof(f184,plain,
    p11(sF1,f9(c12,sF2)),
    inference(resolution,[],[f139,f153]) ).

fof(f153,plain,
    p11(c14,sF2),
    inference(resolution,[],[f152,f2]) ).

fof(f2,axiom,
    ! [X1] : p11(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_2) ).

fof(f152,plain,
    ! [X4] :
      ( ~ p11(X4,c14)
      | p11(X4,sF2) ),
    inference(superposition,[],[f13,f32]) ).

fof(f13,axiom,
    ! [X2,X3,X4] :
      ( p11(X2,f8(X3,X4))
      | ~ p11(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_13) ).

fof(f139,plain,
    ! [X3] :
      ( ~ p11(c14,X3)
      | p11(sF1,f9(c12,X3)) ),
    inference(subsumption_resolution,[],[f134,f31]) ).

fof(f31,plain,
    ~ p2(c12,sF0),
    inference(definition_folding,[],[f6,f27]) ).

fof(f27,plain,
    f3(c13) = sF0,
    introduced(function_definition,[]) ).

fof(f6,axiom,
    ~ p2(c12,f3(c13)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_6) ).

fof(f134,plain,
    ! [X3] :
      ( p2(c12,sF0)
      | ~ p11(c14,X3)
      | p11(sF1,f9(c12,X3)) ),
    inference(superposition,[],[f28,f29]) ).

fof(f28,plain,
    ! [X44,X42,X43] :
      ( p11(f9(X44,X42),f9(X44,X43))
      | ~ p11(X42,X43)
      | p2(X44,sF0) ),
    inference(definition_folding,[],[f26,f27]) ).

fof(f26,axiom,
    ! [X44,X42,X43] :
      ( p11(f9(X44,X42),f9(X44,X43))
      | ~ p11(X42,X43)
      | p2(X44,f3(c13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN585-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:10:25 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.50  % (9484)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)
% 0.19/0.50  % (9471)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  % (9474)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (9476)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)
% 0.19/0.50  % (9467)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)
% 0.19/0.50  % (9470)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)
% 0.19/0.50  % (9466)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 (2999ds/48Mi)
% 0.19/0.50  % (9469)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (9469)Instruction limit reached!
% 0.19/0.51  % (9469)------------------------------
% 0.19/0.51  % (9469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (9469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (9469)Termination reason: Unknown
% 0.19/0.51  % (9469)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (9469)Memory used [KB]: 5373
% 0.19/0.51  % (9469)Time elapsed: 0.116 s
% 0.19/0.51  % (9469)Instructions burned: 3 (million)
% 0.19/0.51  % (9469)------------------------------
% 0.19/0.51  % (9469)------------------------------
% 0.19/0.51  % (9465)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  % (9476)First to succeed.
% 0.19/0.52  % (9475)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)
% 0.19/0.52  % (9476)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (9476)------------------------------
% 0.19/0.52  % (9476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9476)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (9476)Memory used [KB]: 1023
% 0.19/0.52  % (9476)Time elapsed: 0.072 s
% 0.19/0.52  % (9476)Instructions burned: 10 (million)
% 0.19/0.52  % (9476)------------------------------
% 0.19/0.52  % (9476)------------------------------
% 0.19/0.52  % (9460)Success in time 0.171 s
%------------------------------------------------------------------------------