TSTP Solution File: SYN638-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN638-1 : 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_uns --cores 0 -t %d %s

% Computer : n016.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 19:27:58 EDT 2022

% Result   : Unsatisfiable 1.32s 0.53s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   44 (  25 unt;   0 def)
%            Number of atoms       :   70 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   52 (  26   ~;  24   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  18 con; 0-3 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f499,plain,
    $false,
    inference(avatar_sat_refutation,[],[f475,f478,f498]) ).

fof(f498,plain,
    ~ spl20_2,
    inference(avatar_contradiction_clause,[],[f497]) ).

fof(f497,plain,
    ( $false
    | ~ spl20_2 ),
    inference(subsumption_resolution,[],[f494,f65]) ).

fof(f65,plain,
    ~ p22(sF15,sF11),
    inference(definition_folding,[],[f41,f57,f56,f55,f64,f63,f62,f45,f44,f43,f42]) ).

fof(f42,plain,
    f11(c25) = sF0,
    introduced(function_definition,[]) ).

fof(f43,plain,
    f10(c25) = sF1,
    introduced(function_definition,[]) ).

fof(f44,plain,
    sF2 = f9(sF1,c28),
    introduced(function_definition,[]) ).

fof(f45,plain,
    f8(sF0,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f62,plain,
    sF13 = f5(sF3,c26,c29),
    introduced(function_definition,[]) ).

fof(f63,plain,
    f17(c27,sF13) = sF14,
    introduced(function_definition,[]) ).

fof(f64,plain,
    sF15 = f16(sF14),
    introduced(function_definition,[]) ).

fof(f55,plain,
    f5(c25,c26,c27) = sF9,
    introduced(function_definition,[]) ).

fof(f56,plain,
    sF10 = f17(c27,sF9),
    introduced(function_definition,[]) ).

fof(f57,plain,
    f16(sF10) = sF11,
    introduced(function_definition,[]) ).

fof(f41,axiom,
    ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p22_41) ).

fof(f494,plain,
    ( p22(sF15,sF11)
    | ~ spl20_2 ),
    inference(resolution,[],[f98,f333]) ).

fof(f333,plain,
    ! [X2] :
      ( ~ p4(sF8,X2)
      | p22(X2,sF11) ),
    inference(resolution,[],[f236,f4]) ).

fof(f4,axiom,
    ! [X3] : p4(X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ~ p4(sF11,X0)
      | ~ p4(sF8,X1)
      | p22(X1,X0) ),
    inference(resolution,[],[f28,f58]) ).

fof(f58,plain,
    p22(sF8,sF11),
    inference(definition_folding,[],[f40,f57,f56,f55,f54,f53,f52,f45,f44,f43,f42]) ).

fof(f52,plain,
    sF6 = f5(sF3,c26,c27),
    introduced(function_definition,[]) ).

fof(f53,plain,
    f17(c27,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f54,plain,
    sF8 = f16(sF7),
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_40) ).

fof(f28,axiom,
    ! [X48,X46,X49,X47] :
      ( ~ p22(X48,X49)
      | ~ p4(X49,X47)
      | p22(X46,X47)
      | ~ p4(X48,X46) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_28) ).

fof(f98,plain,
    ( p4(sF8,sF15)
    | ~ spl20_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl20_2
  <=> p4(sF8,sF15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f478,plain,
    ( ~ spl20_1
    | spl20_2 ),
    inference(avatar_split_clause,[],[f233,f96,f92]) ).

fof(f92,plain,
    ( spl20_1
  <=> p4(sF7,sF14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f233,plain,
    ( p4(sF8,sF15)
    | ~ p4(sF7,sF14) ),
    inference(superposition,[],[f87,f54]) ).

fof(f87,plain,
    ! [X2] :
      ( p4(f16(X2),sF15)
      | ~ p4(X2,sF14) ),
    inference(superposition,[],[f12,f64]) ).

fof(f12,axiom,
    ! [X10,X11] :
      ( p4(f16(X10),f16(X11))
      | ~ p4(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).

fof(f475,plain,
    spl20_1,
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f474,plain,
    ( $false
    | spl20_1 ),
    inference(subsumption_resolution,[],[f473,f209]) ).

fof(f209,plain,
    p4(sF6,sF13),
    inference(forward_demodulation,[],[f208,f52]) ).

fof(f208,plain,
    p4(f5(sF3,c26,c27),sF13),
    inference(superposition,[],[f46,f62]) ).

fof(f46,plain,
    ! [X73] : p4(f5(sF3,X73,c27),f5(sF3,X73,c29)),
    inference(definition_folding,[],[f39,f45,f44,f43,f42,f45,f44,f43,f42]) ).

fof(f39,axiom,
    ! [X73] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X73,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X73,c29)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_39) ).

fof(f473,plain,
    ( ~ p4(sF6,sF13)
    | spl20_1 ),
    inference(subsumption_resolution,[],[f472,f4]) ).

fof(f472,plain,
    ( ~ p4(c27,c27)
    | ~ p4(sF6,sF13)
    | spl20_1 ),
    inference(subsumption_resolution,[],[f471,f94]) ).

fof(f94,plain,
    ( ~ p4(sF7,sF14)
    | spl20_1 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f471,plain,
    ( ~ p4(c27,c27)
    | p4(sF7,sF14)
    | ~ p4(sF6,sF13) ),
    inference(superposition,[],[f260,f63]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( p4(sF7,f17(X0,X1))
      | ~ p4(sF6,X1)
      | ~ p4(c27,X0) ),
    inference(superposition,[],[f32,f53]) ).

fof(f32,axiom,
    ! [X65,X62,X63,X64] :
      ( p4(f17(X62,X63),f17(X64,X65))
      | ~ p4(X62,X64)
      | ~ p4(X63,X65) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_32) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN638-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 22:36:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.49  % (10041)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (10032)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50  % (10049)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50  % (10047)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.51  % (10057)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.18/0.51  % (10039)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (10049)Instruction limit reached!
% 0.18/0.51  % (10049)------------------------------
% 0.18/0.51  % (10049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (10047)Instruction limit reached!
% 1.32/0.52  % (10047)------------------------------
% 1.32/0.52  % (10047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (10049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (10049)Termination reason: Unknown
% 1.32/0.52  % (10049)Termination phase: Saturation
% 1.32/0.52  
% 1.32/0.52  % (10049)Memory used [KB]: 5884
% 1.32/0.52  % (10049)Time elapsed: 0.118 s
% 1.32/0.52  % (10049)Instructions burned: 9 (million)
% 1.32/0.52  % (10049)------------------------------
% 1.32/0.52  % (10049)------------------------------
% 1.32/0.52  % (10036)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.32/0.52  % (10046)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.32/0.52  % (10034)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.32/0.53  % (10044)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.32/0.53  % (10047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (10047)Termination reason: Unknown
% 1.32/0.53  % (10047)Termination phase: Finite model building preprocessing
% 1.32/0.53  
% 1.32/0.53  % (10047)Memory used [KB]: 6012
% 1.32/0.53  % (10047)Time elapsed: 0.005 s
% 1.32/0.53  % (10047)Instructions burned: 6 (million)
% 1.32/0.53  % (10047)------------------------------
% 1.32/0.53  % (10047)------------------------------
% 1.32/0.53  % (10059)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.32/0.53  % (10045)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.32/0.53  % (10042)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.32/0.53  % (10044)Instruction limit reached!
% 1.32/0.53  % (10044)------------------------------
% 1.32/0.53  % (10044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (10044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (10044)Termination reason: Unknown
% 1.32/0.53  % (10044)Termination phase: Saturation
% 1.32/0.53  
% 1.32/0.53  % (10044)Memory used [KB]: 5884
% 1.32/0.53  % (10044)Time elapsed: 0.136 s
% 1.32/0.53  % (10044)Instructions burned: 6 (million)
% 1.32/0.53  % (10044)------------------------------
% 1.32/0.53  % (10044)------------------------------
% 1.32/0.53  % (10032)First to succeed.
% 1.32/0.53  % (10045)Instruction limit reached!
% 1.32/0.53  % (10045)------------------------------
% 1.32/0.53  % (10045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (10045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (10045)Termination reason: Unknown
% 1.32/0.53  % (10045)Termination phase: Saturation
% 1.32/0.53  
% 1.32/0.53  % (10045)Memory used [KB]: 5884
% 1.32/0.53  % (10045)Time elapsed: 0.002 s
% 1.32/0.53  % (10045)Instructions burned: 3 (million)
% 1.32/0.53  % (10045)------------------------------
% 1.32/0.53  % (10045)------------------------------
% 1.32/0.53  % (10032)Refutation found. Thanks to Tanya!
% 1.32/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.32/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.53  % (10032)------------------------------
% 1.32/0.53  % (10032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (10032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (10032)Termination reason: Refutation
% 1.32/0.53  
% 1.32/0.53  % (10032)Memory used [KB]: 6140
% 1.32/0.53  % (10032)Time elapsed: 0.119 s
% 1.32/0.53  % (10032)Instructions burned: 19 (million)
% 1.32/0.53  % (10032)------------------------------
% 1.32/0.53  % (10032)------------------------------
% 1.32/0.53  % (10031)Success in time 0.185 s
%------------------------------------------------------------------------------