TSTP Solution File: SYN588-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN588-1 : 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 19:39:00 EDT 2022

% Result   : Unsatisfiable 1.27s 0.51s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   33 (  30 unt;   0 def)
%            Number of atoms       :   37 (  20 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   37 (  37 usr;  29 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f90,plain,
    $false,
    inference(subsumption_resolution,[],[f88,f60]) ).

fof(f60,plain,
    ~ p7(sF15,sF23),
    inference(definition_folding,[],[f26,f57,f56,f55,f43,f40,f29,f28,f27,f54,f53,f40,f29,f28,f27,f52,f38,f37,f36,f27,f46,f45,f44,f43,f40,f29,f28,f27,f42,f41,f40,f29,f28,f27,f39,f38,f37,f36,f27]) ).

fof(f39,plain,
    sF8 = f10(sF7,c18),
    introduced(function_definition,[]) ).

fof(f41,plain,
    f10(sF9,c21) = sF10,
    introduced(function_definition,[]) ).

fof(f42,plain,
    f11(c19) = sF11,
    introduced(function_definition,[]) ).

fof(f44,plain,
    sF13 = f9(sF11,sF12),
    introduced(function_definition,[]) ).

fof(f45,plain,
    f8(sF10,sF13) = sF14,
    introduced(function_definition,[]) ).

fof(f46,plain,
    sF15 = f8(sF8,sF14),
    introduced(function_definition,[]) ).

fof(f36,plain,
    f3(sF0) = sF5,
    introduced(function_definition,[]) ).

fof(f37,plain,
    f11(sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f38,plain,
    sF7 = f12(sF6),
    introduced(function_definition,[]) ).

fof(f52,plain,
    f10(sF7,c23) = sF18,
    introduced(function_definition,[]) ).

fof(f53,plain,
    f10(sF9,c25) = sF19,
    introduced(function_definition,[]) ).

fof(f54,plain,
    f11(c24) = sF20,
    introduced(function_definition,[]) ).

fof(f27,plain,
    f5(c17) = sF0,
    introduced(function_definition,[]) ).

fof(f28,plain,
    f4(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f29,plain,
    sF2 = f3(sF1),
    introduced(function_definition,[]) ).

fof(f40,plain,
    sF9 = f11(sF2),
    introduced(function_definition,[]) ).

fof(f43,plain,
    f10(sF9,c22) = sF12,
    introduced(function_definition,[]) ).

fof(f55,plain,
    f9(sF20,sF12) = sF21,
    introduced(function_definition,[]) ).

fof(f56,plain,
    sF22 = f8(sF19,sF21),
    introduced(function_definition,[]) ).

fof(f57,plain,
    f8(sF18,sF22) = sF23,
    introduced(function_definition,[]) ).

fof(f26,axiom,
    ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p7_26) ).

fof(f88,plain,
    p7(sF15,sF23),
    inference(resolution,[],[f85,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ p7(X0,X1)
      | p7(X1,X0) ),
    inference(resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

fof(f14,axiom,
    ! [X1,X12,X13] :
      ( ~ p7(X1,X13)
      | ~ p7(X1,X12)
      | p7(X12,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_14) ).

fof(f85,plain,
    p7(sF23,sF15),
    inference(resolution,[],[f64,f58]) ).

fof(f58,plain,
    p7(c20,sF23),
    inference(definition_folding,[],[f24,f57,f56,f55,f43,f40,f29,f28,f27,f54,f53,f40,f29,f28,f27,f52,f38,f37,f36,f27]) ).

fof(f24,axiom,
    p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).

fof(f64,plain,
    ! [X8] :
      ( ~ p7(c20,X8)
      | p7(X8,sF15) ),
    inference(resolution,[],[f14,f47]) ).

fof(f47,plain,
    p7(c20,sF15),
    inference(definition_folding,[],[f25,f46,f45,f44,f43,f40,f29,f28,f27,f42,f41,f40,f29,f28,f27,f39,f38,f37,f36,f27]) ).

fof(f25,axiom,
    p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN588-1 : 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
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:13:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (11451)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  % (11435)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  % (11436)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  % (11435)Instruction limit reached!
% 0.20/0.50  % (11435)------------------------------
% 0.20/0.50  % (11435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (11443)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  % (11435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (11435)Termination reason: Unknown
% 0.20/0.51  % (11435)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (11435)Memory used [KB]: 5500
% 0.20/0.51  % (11435)Time elapsed: 0.102 s
% 0.20/0.51  % (11435)Instructions burned: 8 (million)
% 0.20/0.51  % (11435)------------------------------
% 0.20/0.51  % (11435)------------------------------
% 0.20/0.51  % (11437)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)
% 1.27/0.51  % (11443)First to succeed.
% 1.27/0.51  % (11442)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)
% 1.27/0.51  % (11436)Instruction limit reached!
% 1.27/0.51  % (11436)------------------------------
% 1.27/0.51  % (11436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.51  % (11443)Refutation found. Thanks to Tanya!
% 1.27/0.51  % SZS status Unsatisfiable for theBenchmark
% 1.27/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.51  % (11443)------------------------------
% 1.27/0.51  % (11443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.51  % (11443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.51  % (11443)Termination reason: Refutation
% 1.27/0.51  
% 1.27/0.51  % (11443)Memory used [KB]: 1023
% 1.27/0.51  % (11443)Time elapsed: 0.110 s
% 1.27/0.51  % (11443)Instructions burned: 5 (million)
% 1.27/0.51  % (11443)------------------------------
% 1.27/0.51  % (11443)------------------------------
% 1.27/0.51  % (11427)Success in time 0.163 s
%------------------------------------------------------------------------------