TSTP Solution File: SYN113-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN113-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : 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 19:25:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  21   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f969,plain,
    $false,
    inference(resolution,[],[f961,f901]) ).

fof(f901,plain,
    ! [X10] : q1(e,X10,X10),
    inference(subsumption_resolution,[],[f900,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f900,plain,
    ! [X10] :
      ( ~ m0(e,d,X10)
      | q1(e,X10,X10) ),
    inference(subsumption_resolution,[],[f145,f19]) ).

fof(f145,axiom,
    ! [X10] :
      ( ~ m0(X10,d,X10)
      | ~ m0(e,d,X10)
      | q1(e,X10,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_107) ).

fof(f961,plain,
    ! [X0] : ~ q1(X0,d,d),
    inference(resolution,[],[f960,f34]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

fof(f960,plain,
    ! [X0,X1] :
      ( ~ n0(X1,d)
      | ~ q1(X0,d,d) ),
    inference(resolution,[],[f959,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f959,plain,
    ! [X0] :
      ( ~ k1(d)
      | ~ q1(X0,d,d) ),
    inference(resolution,[],[f958,f167]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( k2(X3,X3)
      | ~ q1(X10,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).

fof(f958,plain,
    ! [X16] :
      ( ~ k2(X16,d)
      | ~ k1(X16) ),
    inference(subsumption_resolution,[],[f941,f369]) ).

fof(f369,axiom,
    ~ k2(e,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f941,plain,
    ! [X16] :
      ( k2(e,d)
      | ~ k1(X16)
      | ~ k2(X16,d) ),
    inference(resolution,[],[f165,f578]) ).

fof(f578,plain,
    m1(e,d,e),
    inference(resolution,[],[f561,f10]) ).

fof(f10,axiom,
    p0(b,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(f561,plain,
    ! [X2,X3] :
      ( ~ p0(X2,X3)
      | m1(e,X3,e) ),
    inference(resolution,[],[f45,f13]) ).

fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f45,axiom,
    ! [X2,X4,X5] :
      ( ~ r0(X4)
      | ~ p0(X2,X5)
      | m1(X4,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_007) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ m1(X8,X7,X6)
      | ~ k2(X9,X7)
      | ~ k1(X9)
      | k2(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_127) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN113-1 : TPTP v8.1.0. Released v1.1.0.
% 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
% 0.12/0.34  % Computer : n027.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 21:46:16 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (12913)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (12921)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)
% 0.20/0.51  % (12923)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (12908)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52  % (12919)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)
% 0.20/0.52  % (12915)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (12911)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)
% 0.20/0.52  % (12930)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (12923)Instruction limit reached!
% 0.20/0.52  % (12923)------------------------------
% 0.20/0.52  % (12923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (12911)Refutation not found, incomplete strategy% (12911)------------------------------
% 0.20/0.52  % (12911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (12911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (12911)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (12911)Memory used [KB]: 6140
% 0.20/0.52  % (12911)Time elapsed: 0.002 s
% 0.20/0.52  % (12911)Instructions burned: 2 (million)
% 0.20/0.52  % (12911)------------------------------
% 0.20/0.52  % (12911)------------------------------
% 0.20/0.52  % (12922)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)
% 0.20/0.52  % (12923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (12923)Termination reason: Unknown
% 0.20/0.52  % (12923)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (12923)Memory used [KB]: 1663
% 0.20/0.52  % (12923)Time elapsed: 0.003 s
% 0.20/0.52  % (12923)Instructions burned: 2 (million)
% 0.20/0.52  % (12923)------------------------------
% 0.20/0.52  % (12923)------------------------------
% 0.20/0.52  % (12929)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53  % (12922)Instruction limit reached!
% 0.20/0.53  % (12922)------------------------------
% 0.20/0.53  % (12922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12922)Termination reason: Unknown
% 0.20/0.53  % (12922)Termination phase: Finite model building preprocessing
% 0.20/0.53  
% 0.20/0.53  % (12922)Memory used [KB]: 1918
% 0.20/0.53  % (12922)Time elapsed: 0.005 s
% 0.20/0.53  % (12922)Instructions burned: 7 (million)
% 0.20/0.53  % (12922)------------------------------
% 0.20/0.53  % (12922)------------------------------
% 0.20/0.53  % (12915)Instruction limit reached!
% 0.20/0.53  % (12915)------------------------------
% 0.20/0.53  % (12915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12915)Termination reason: Unknown
% 0.20/0.53  % (12915)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12915)Memory used [KB]: 1791
% 0.20/0.53  % (12915)Time elapsed: 0.005 s
% 0.20/0.53  % (12915)Instructions burned: 3 (million)
% 0.20/0.53  % (12915)------------------------------
% 0.20/0.53  % (12915)------------------------------
% 0.20/0.53  % (12929)Refutation not found, incomplete strategy% (12929)------------------------------
% 0.20/0.53  % (12929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12929)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (12929)Memory used [KB]: 6268
% 0.20/0.53  % (12929)Time elapsed: 0.119 s
% 0.20/0.53  % (12929)Instructions burned: 4 (million)
% 0.20/0.53  % (12929)------------------------------
% 0.20/0.53  % (12929)------------------------------
% 0.20/0.53  % (12908)Refutation not found, incomplete strategy% (12908)------------------------------
% 0.20/0.53  % (12908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12908)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (12908)Memory used [KB]: 2046
% 0.20/0.53  % (12908)Time elapsed: 0.103 s
% 0.20/0.53  % (12908)Instructions burned: 7 (million)
% 0.20/0.53  % (12908)------------------------------
% 0.20/0.53  % (12908)------------------------------
% 0.20/0.53  % (12926)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (12907)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (12914)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)
% 0.20/0.53  % (12931)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53  % (12921)Instruction limit reached!
% 0.20/0.53  % (12921)------------------------------
% 0.20/0.53  % (12921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12921)Termination reason: Unknown
% 0.20/0.53  % (12921)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12921)Memory used [KB]: 2430
% 0.20/0.53  % (12921)Time elapsed: 0.120 s
% 0.20/0.53  % (12921)Instructions burned: 30 (million)
% 0.20/0.53  % (12921)------------------------------
% 0.20/0.53  % (12921)------------------------------
% 0.20/0.53  % (12909)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)
% 0.20/0.53  % (12924)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (12914)Refutation not found, incomplete strategy% (12914)------------------------------
% 0.20/0.53  % (12914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12909)Instruction limit reached!
% 0.20/0.53  % (12909)------------------------------
% 0.20/0.53  % (12909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12909)Termination reason: Unknown
% 0.20/0.53  % (12909)Termination phase: General splitting
% 0.20/0.53  
% 0.20/0.53  % (12909)Memory used [KB]: 1791
% 0.20/0.53  % (12909)Time elapsed: 0.003 s
% 0.20/0.53  % (12909)Instructions burned: 4 (million)
% 0.20/0.53  % (12909)------------------------------
% 0.20/0.53  % (12909)------------------------------
% 0.20/0.53  % (12912)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (12914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12914)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (12914)Memory used [KB]: 6140
% 0.20/0.53  % (12914)Time elapsed: 0.003 s
% 0.20/0.53  % (12914)Instructions burned: 2 (million)
% 0.20/0.53  % (12914)------------------------------
% 0.20/0.53  % (12914)------------------------------
% 0.20/0.53  % (12932)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)
% 0.20/0.54  % (12925)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.54  % (12913)First to succeed.
% 0.20/0.54  % (12910)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.54  % (12913)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (12913)------------------------------
% 0.20/0.54  % (12913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12913)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (12913)Memory used [KB]: 2046
% 0.20/0.54  % (12913)Time elapsed: 0.116 s
% 0.20/0.54  % (12913)Instructions burned: 24 (million)
% 0.20/0.54  % (12913)------------------------------
% 0.20/0.54  % (12913)------------------------------
% 0.20/0.54  % (12906)Success in time 0.184 s
%------------------------------------------------------------------------------