TSTP Solution File: SYN597-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN597-1 : 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 : n027.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 19:39:01 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   52 (  21 unt;   0 def)
%            Number of atoms       :  103 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  102 (  51   ~;  49   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-3 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1212,plain,
    $false,
    inference(avatar_sat_refutation,[],[f886,f959,f1211]) ).

fof(f1211,plain,
    ~ spl12_96,
    inference(avatar_contradiction_clause,[],[f1210]) ).

fof(f1210,plain,
    ( $false
    | ~ spl12_96 ),
    inference(subsumption_resolution,[],[f1207,f34]) ).

fof(f34,plain,
    ~ p18(c20,sF4),
    inference(definition_folding,[],[f22,f33,f32,f31,f30,f29]) ).

fof(f29,plain,
    f15(c20) = sF0,
    introduced(function_definition,[]) ).

fof(f30,plain,
    f4(c20) = sF1,
    introduced(function_definition,[]) ).

fof(f31,plain,
    sF2 = f14(sF1,c22),
    introduced(function_definition,[]) ).

fof(f32,plain,
    f13(sF0,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f33,plain,
    sF4 = f11(sF3,c23,c24),
    introduced(function_definition,[]) ).

fof(f22,axiom,
    ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_22) ).

fof(f1207,plain,
    ( p18(c20,sF4)
    | ~ spl12_96 ),
    inference(resolution,[],[f1205,f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ p10(sF7,X0)
      | p18(c20,X0) ),
    inference(resolution,[],[f158,f4]) ).

fof(f4,axiom,
    ! [X3] : p2(X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ p2(c20,X0)
      | ~ p10(sF7,X1)
      | p18(X0,X1) ),
    inference(resolution,[],[f24,f38]) ).

fof(f38,plain,
    p18(c20,sF7),
    inference(definition_folding,[],[f21,f37,f36,f35,f30,f29]) ).

fof(f35,plain,
    f14(sF1,c21) = sF5,
    introduced(function_definition,[]) ).

fof(f36,plain,
    f13(sF0,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f37,plain,
    sF7 = f11(sF6,c23,c24),
    introduced(function_definition,[]) ).

fof(f21,axiom,
    p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_21) ).

fof(f24,axiom,
    ! [X31,X34,X32,X33] :
      ( ~ p18(X33,X34)
      | ~ p2(X33,X31)
      | ~ p10(X34,X32)
      | p18(X31,X32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).

fof(f1205,plain,
    ( p10(sF7,sF4)
    | ~ spl12_96 ),
    inference(resolution,[],[f1204,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ p10(X1,X0)
      | p10(X0,X1) ),
    inference(resolution,[],[f16,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).

fof(f16,axiom,
    ! [X0,X18,X17] :
      ( ~ p10(X0,X18)
      | p10(X17,X18)
      | ~ p10(X0,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).

fof(f1204,plain,
    ( p10(sF4,sF7)
    | ~ spl12_96 ),
    inference(subsumption_resolution,[],[f1203,f2]) ).

fof(f2,axiom,
    ! [X1] : p9(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).

fof(f1203,plain,
    ( ~ p9(c23,c23)
    | p10(sF4,sF7)
    | ~ spl12_96 ),
    inference(subsumption_resolution,[],[f1202,f881]) ).

fof(f881,plain,
    ( p2(sF3,sF6)
    | ~ spl12_96 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f879,plain,
    ( spl12_96
  <=> p2(sF3,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_96])]) ).

fof(f1202,plain,
    ( ~ p2(sF3,sF6)
    | p10(sF4,sF7)
    | ~ p9(c23,c23) ),
    inference(subsumption_resolution,[],[f1201,f1]) ).

fof(f1201,plain,
    ( ~ p10(c24,c24)
    | p10(sF4,sF7)
    | ~ p2(sF3,sF6)
    | ~ p9(c23,c23) ),
    inference(superposition,[],[f282,f37]) ).

fof(f282,plain,
    ! [X2,X0,X1] :
      ( p10(sF4,f11(X0,X1,X2))
      | ~ p2(sF3,X0)
      | ~ p10(c24,X2)
      | ~ p9(c23,X1) ),
    inference(superposition,[],[f28,f33]) ).

fof(f28,axiom,
    ! [X50,X51,X48,X49,X47,X52] :
      ( p10(f11(X47,X48,X49),f11(X50,X51,X52))
      | ~ p10(X49,X52)
      | ~ p2(X47,X50)
      | ~ p9(X48,X51) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_28) ).

fof(f959,plain,
    spl12_97,
    inference(avatar_contradiction_clause,[],[f958]) ).

fof(f958,plain,
    ( $false
    | spl12_97 ),
    inference(subsumption_resolution,[],[f957,f3]) ).

fof(f3,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).

fof(f957,plain,
    ( ~ p3(sF1,sF1)
    | spl12_97 ),
    inference(subsumption_resolution,[],[f956,f95]) ).

fof(f95,plain,
    p3(c22,c21),
    inference(resolution,[],[f72,f7]) ).

fof(f7,axiom,
    p3(c21,c22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ p3(X1,X0)
      | p3(X0,X1) ),
    inference(resolution,[],[f18,f3]) ).

fof(f18,axiom,
    ! [X2,X21,X22] :
      ( ~ p3(X2,X22)
      | p3(X21,X22)
      | ~ p3(X2,X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).

fof(f956,plain,
    ( ~ p3(c22,c21)
    | ~ p3(sF1,sF1)
    | spl12_97 ),
    inference(subsumption_resolution,[],[f955,f885]) ).

fof(f885,plain,
    ( ~ p12(sF2,sF5)
    | spl12_97 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f883,plain,
    ( spl12_97
  <=> p12(sF2,sF5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_97])]) ).

fof(f955,plain,
    ( ~ p3(sF1,sF1)
    | ~ p3(c22,c21)
    | p12(sF2,sF5) ),
    inference(superposition,[],[f221,f35]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( p12(sF2,f14(X0,X1))
      | ~ p3(c22,X1)
      | ~ p3(sF1,X0) ),
    inference(superposition,[],[f27,f31]) ).

fof(f27,axiom,
    ! [X46,X44,X45,X43] :
      ( p12(f14(X43,X44),f14(X45,X46))
      | ~ p3(X44,X46)
      | ~ p3(X43,X45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_27) ).

fof(f886,plain,
    ( spl12_96
    | ~ spl12_97 ),
    inference(avatar_split_clause,[],[f877,f883,f879]) ).

fof(f877,plain,
    ( ~ p12(sF2,sF5)
    | p2(sF3,sF6) ),
    inference(subsumption_resolution,[],[f876,f3]) ).

fof(f876,plain,
    ( p2(sF3,sF6)
    | ~ p12(sF2,sF5)
    | ~ p3(sF0,sF0) ),
    inference(superposition,[],[f206,f36]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( p2(sF3,f13(X0,X1))
      | ~ p3(sF0,X0)
      | ~ p12(sF2,X1) ),
    inference(superposition,[],[f26,f32]) ).

fof(f26,axiom,
    ! [X40,X41,X39,X42] :
      ( p2(f13(X39,X40),f13(X41,X42))
      | ~ p3(X39,X41)
      | ~ p12(X40,X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYN597-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:25:16 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.44  % (13066)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.45  % (13058)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)
% 0.19/0.49  % (13082)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.50  % (13064)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (13079)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)
% 0.19/0.50  % (13068)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  % (13063)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  % (13060)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (13074)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51  % (13056)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)
% 0.19/0.51  % (13054)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)
% 0.19/0.51  % (13054)Refutation not found, incomplete strategy% (13054)------------------------------
% 0.19/0.51  % (13054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (13054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (13054)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (13054)Memory used [KB]: 5373
% 0.19/0.51  % (13054)Time elapsed: 0.116 s
% 0.19/0.51  % (13054)Instructions burned: 2 (million)
% 0.19/0.51  % (13054)------------------------------
% 0.19/0.51  % (13054)------------------------------
% 0.19/0.51  % (13065)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (13055)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)
% 0.19/0.52  % (13060)Instruction limit reached!
% 0.19/0.52  % (13060)------------------------------
% 0.19/0.52  % (13060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (13060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (13060)Termination reason: Unknown
% 0.19/0.52  % (13060)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (13060)Memory used [KB]: 5500
% 0.19/0.52  % (13060)Time elapsed: 0.075 s
% 0.19/0.52  % (13060)Instructions burned: 7 (million)
% 0.19/0.52  % (13060)------------------------------
% 0.19/0.52  % (13060)------------------------------
% 0.19/0.52  % (13069)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)
% 0.19/0.52  % (13062)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)
% 0.19/0.52  % (13059)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)
% 0.19/0.52  % (13071)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  % (13080)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52  TRYING [2]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (13073)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53  % (13057)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (13075)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)
% 0.19/0.53  % (13061)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (13061)Instruction limit reached!
% 0.19/0.53  % (13061)------------------------------
% 0.19/0.53  % (13061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (13053)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)
% 0.19/0.53  % (13070)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (13061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (13061)Termination reason: Unknown
% 0.19/0.53  % (13061)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (13066)First to succeed.
% 0.19/0.53  % (13061)Memory used [KB]: 895
% 0.19/0.53  % (13061)Time elapsed: 0.003 s
% 0.19/0.53  % (13077)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (13061)Instructions burned: 2 (million)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (13061)------------------------------
% 0.19/0.53  % (13061)------------------------------
% 0.19/0.53  % (13066)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (13066)------------------------------
% 0.19/0.53  % (13066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (13066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (13066)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (13066)Memory used [KB]: 6012
% 0.19/0.53  % (13066)Time elapsed: 0.157 s
% 0.19/0.53  % (13066)Instructions burned: 39 (million)
% 0.19/0.53  % (13066)------------------------------
% 0.19/0.53  % (13066)------------------------------
% 0.19/0.53  % (13052)Success in time 0.189 s
%------------------------------------------------------------------------------