TSTP Solution File: SYN611-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN611-1 : 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 : n013.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 19:39:04 EDT 2022

% Result   : Unsatisfiable 1.57s 0.58s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   34 (  24 unt;   0 def)
%            Number of atoms       :   50 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  19   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  13 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f495,plain,
    $false,
    inference(subsumption_resolution,[],[f492,f152]) ).

fof(f152,plain,
    ~ p17(f9(f10(sF15,sF5)),sF3),
    inference(superposition,[],[f54,f37]) ).

fof(f37,plain,
    f12(sF4,c21) = sF5,
    introduced(function_definition,[]) ).

fof(f54,plain,
    ! [X49] : ~ p17(f9(f10(sF15,f12(X49,c21))),sF3),
    inference(definition_folding,[],[f28,f35,f34,f33,f53,f52,f51]) ).

fof(f51,plain,
    f9(c19) = sF13,
    introduced(function_definition,[]) ).

fof(f52,plain,
    sF14 = f4(sF13),
    introduced(function_definition,[]) ).

fof(f53,plain,
    sF15 = f14(sF14,c19),
    introduced(function_definition,[]) ).

fof(f33,plain,
    f8(c20) = sF1,
    introduced(function_definition,[]) ).

fof(f34,plain,
    sF2 = f7(sF1),
    introduced(function_definition,[]) ).

fof(f35,plain,
    f6(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f28,axiom,
    ! [X49] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X49,c21))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_28) ).

fof(f492,plain,
    p17(f9(f10(sF15,sF5)),sF3),
    inference(resolution,[],[f437,f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ p2(sF17,X0)
      | p17(X0,sF3) ),
    inference(resolution,[],[f80,f2]) ).

fof(f2,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ p2(sF3,X0)
      | ~ p2(sF17,X1)
      | p17(X1,X0) ),
    inference(resolution,[],[f20,f57]) ).

fof(f57,plain,
    p17(sF17,sF3),
    inference(definition_folding,[],[f29,f35,f34,f33,f56,f55,f36,f35,f34,f33,f53,f52,f51]) ).

fof(f36,plain,
    f4(sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f55,plain,
    f10(sF15,sF4) = sF16,
    introduced(function_definition,[]) ).

fof(f56,plain,
    sF17 = f9(sF16),
    introduced(function_definition,[]) ).

fof(f29,axiom,
    p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_29) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p17(X27,X28)
      | ~ p2(X28,X26)
      | ~ p2(X27,X25)
      | p17(X25,X26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_20) ).

fof(f437,plain,
    p2(sF17,f9(f10(sF15,sF5))),
    inference(resolution,[],[f423,f148]) ).

fof(f148,plain,
    ! [X1] :
      ( ~ p3(sF16,X1)
      | p2(sF17,f9(X1)) ),
    inference(superposition,[],[f12,f56]) ).

fof(f12,axiom,
    ! [X10,X9] :
      ( p2(f9(X9),f9(X10))
      | ~ p3(X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f423,plain,
    p3(sF16,f10(sF15,sF5)),
    inference(resolution,[],[f336,f87]) ).

fof(f87,plain,
    p3(sF4,sF5),
    inference(resolution,[],[f77,f4]) ).

fof(f4,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).

fof(f77,plain,
    ! [X12] :
      ( ~ p3(sF5,X12)
      | p3(sF4,X12) ),
    inference(resolution,[],[f19,f38]) ).

fof(f38,plain,
    p3(sF5,sF4),
    inference(definition_folding,[],[f22,f36,f35,f34,f33,f37,f36,f35,f34,f33]) ).

fof(f22,axiom,
    p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).

fof(f19,axiom,
    ! [X2,X24,X23] :
      ( ~ p3(X2,X23)
      | ~ p3(X2,X24)
      | p3(X23,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_19) ).

fof(f336,plain,
    ! [X0] :
      ( ~ p3(sF4,X0)
      | p3(sF16,f10(sF15,X0)) ),
    inference(resolution,[],[f164,f4]) ).

fof(f164,plain,
    ! [X2,X3] :
      ( ~ p3(sF15,X2)
      | p3(sF16,f10(X2,X3))
      | ~ p3(sF4,X3) ),
    inference(superposition,[],[f24,f55]) ).

fof(f24,axiom,
    ! [X40,X38,X39,X37] :
      ( p3(f10(X37,X38),f10(X39,X40))
      | ~ p3(X38,X40)
      | ~ p3(X37,X39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_24) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN611-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 22:07:32 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.20/0.48  % (3088)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)
% 0.20/0.49  % (3080)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)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (3089)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  TRYING [3]
% 0.20/0.51  % (3079)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)
% 0.20/0.52  % (3096)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)
% 0.20/0.52  % (3081)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (3097)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)
% 0.20/0.53  % (3077)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (3081)Instruction limit reached!
% 0.20/0.54  % (3081)------------------------------
% 0.20/0.54  % (3081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (3098)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (3095)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (3087)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (3090)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)
% 0.20/0.54  % (3082)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (3081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (3081)Termination reason: Unknown
% 0.20/0.54  % (3081)Termination phase: Saturation
% 0.20/0.55  % (3082)Instruction limit reached!
% 0.20/0.55  % (3082)------------------------------
% 0.20/0.55  % (3082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (3082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (3082)Termination reason: Unknown
% 0.20/0.55  % (3082)Termination phase: Blocked clause elimination
% 0.20/0.55  
% 0.20/0.55  % (3082)Memory used [KB]: 895
% 0.20/0.55  % (3082)Time elapsed: 0.003 s
% 0.20/0.55  % (3082)Instructions burned: 2 (million)
% 0.20/0.55  % (3082)------------------------------
% 0.20/0.55  % (3082)------------------------------
% 0.20/0.55  
% 0.20/0.55  % (3081)Memory used [KB]: 5500
% 0.20/0.55  % (3081)Time elapsed: 0.115 s
% 0.20/0.55  % (3081)Instructions burned: 8 (million)
% 0.20/0.55  % (3081)------------------------------
% 0.20/0.55  % (3081)------------------------------
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (3084)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (3075)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (3075)Refutation not found, incomplete strategy% (3075)------------------------------
% 0.20/0.56  % (3075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (3075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (3075)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (3075)Memory used [KB]: 5373
% 0.20/0.56  % (3075)Time elapsed: 0.140 s
% 0.20/0.56  % (3075)Instructions burned: 2 (million)
% 0.20/0.56  % (3075)------------------------------
% 0.20/0.56  % (3075)------------------------------
% 0.20/0.56  % (3092)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57  % (3074)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)
% 0.20/0.57  % (3076)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 (2999ds/37Mi)
% 0.20/0.57  % (3080)Instruction limit reached!
% 0.20/0.57  % (3080)------------------------------
% 0.20/0.57  % (3080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (3080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (3080)Termination reason: Unknown
% 0.20/0.57  % (3080)Termination phase: Finite model building constraint generation
% 0.20/0.57  
% 0.20/0.57  % (3080)Memory used [KB]: 6524
% 0.20/0.57  % (3080)Time elapsed: 0.163 s
% 0.20/0.57  % (3080)Instructions burned: 51 (million)
% 0.20/0.57  % (3080)------------------------------
% 0.20/0.57  % (3080)------------------------------
% 0.20/0.57  % (3089)First to succeed.
% 1.57/0.57  % (3100)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)
% 1.57/0.58  % (3089)Refutation found. Thanks to Tanya!
% 1.57/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.57/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.58  % (3089)------------------------------
% 1.57/0.58  % (3089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58  % (3089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58  % (3089)Termination reason: Refutation
% 1.57/0.58  
% 1.57/0.58  % (3089)Memory used [KB]: 1279
% 1.57/0.58  % (3089)Time elapsed: 0.162 s
% 1.57/0.58  % (3089)Instructions burned: 28 (million)
% 1.57/0.58  % (3089)------------------------------
% 1.57/0.58  % (3089)------------------------------
% 1.57/0.58  % (3073)Success in time 0.203 s
%------------------------------------------------------------------------------