TSTP Solution File: SYO612-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYO612-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : n020.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 19:48:39 EDT 2022

% Result   : Unsatisfiable 1.65s 0.59s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :   13 (   5 avg)
%            Number of connectives :  169 (  91   ~;  78   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (  12 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   78 (  78   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,plain,
    $false,
    inference(resolution,[],[f25,f1]) ).

fof(f1,axiom,
    ! [X0] : le(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).

fof(f25,plain,
    ! [X0,X1] : ~ le(s(X0),X1),
    inference(resolution,[],[f22,f1]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ~ le(s(X1),X2)
      | ~ le(s(X0),X1) ),
    inference(resolution,[],[f19,f1]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1] :
      ( ~ le(s(s(s(s(X0)))),X1)
      | ~ le(s(X3),X2)
      | ~ le(s(X2),X0) ),
    inference(resolution,[],[f16,f1]) ).

fof(f16,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ le(s(s(s(X2))),X3)
      | ~ le(s(X3),X4)
      | ~ le(s(X1),X2)
      | ~ le(s(X0),X1) ),
    inference(resolution,[],[f13,f1]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ le(s(s(X5)),X0)
      | ~ le(s(X2),X3)
      | ~ le(s(X3),X5)
      | ~ le(s(X1),X4)
      | ~ le(s(X0),X1) ),
    inference(resolution,[],[f12,f1]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ le(s(X4),X5)
      | ~ le(s(X0),X1)
      | ~ le(s(X6),X3)
      | ~ le(s(X1),X2)
      | ~ le(s(X5),X0)
      | ~ le(s(X3),X4) ),
    inference(resolution,[],[f11,f4]) ).

fof(f4,axiom,
    ! [X0] : eq(f(X0),a0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

fof(f11,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ eq(f(X2),a0)
      | ~ le(s(X0),X1)
      | ~ le(s(X1),X3)
      | ~ le(s(X6),X4)
      | ~ le(s(X5),X0)
      | ~ le(s(X4),X5)
      | ~ le(s(X2),X6) ),
    inference(resolution,[],[f10,f4]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ eq(f(X1),a0)
      | ~ le(s(X6),X4)
      | ~ eq(f(X3),a0)
      | ~ le(s(X4),X5)
      | ~ le(s(X0),X1)
      | ~ le(s(X1),X6)
      | ~ le(s(X2),X0)
      | ~ le(s(X3),X2) ),
    inference(resolution,[],[f9,f4]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ eq(f(X6),a0)
      | ~ le(s(X1),X4)
      | ~ le(s(X0),X1)
      | ~ eq(f(X5),a0)
      | ~ le(s(X5),X0)
      | ~ eq(f(X4),a0)
      | ~ le(s(X3),X6)
      | ~ le(s(X2),X3)
      | ~ le(s(X4),X2) ),
    inference(resolution,[],[f8,f4]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ eq(f(X2),a0)
      | ~ le(s(X5),X6)
      | ~ le(s(X1),X2)
      | ~ eq(f(X3),a0)
      | ~ le(s(X4),X5)
      | ~ le(s(X3),X1)
      | ~ le(s(X6),X3)
      | ~ le(s(X2),X0)
      | ~ eq(f(X4),a0)
      | ~ eq(f(X0),a0) ),
    inference(resolution,[],[f7,f4]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ eq(f(X3),a0)
      | ~ eq(f(X2),a0)
      | ~ le(s(X5),X6)
      | ~ eq(f(X6),a0)
      | ~ le(s(X6),X2)
      | ~ eq(f(X1),a0)
      | ~ le(s(X1),X5)
      | ~ le(s(X4),X3)
      | ~ le(s(X0),X1)
      | ~ le(s(X3),X0)
      | ~ eq(f(X4),a0) ),
    inference(resolution,[],[f6,f4]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ eq(f(X2),a0)
      | ~ le(s(X2),X0)
      | ~ eq(f(X6),a0)
      | ~ le(s(X3),X2)
      | ~ le(s(X5),X3)
      | ~ le(s(X0),X1)
      | ~ le(s(X4),X6)
      | ~ le(s(X1),X4)
      | ~ eq(f(X4),a0)
      | ~ eq(f(X3),a0)
      | ~ eq(f(X5),a0)
      | ~ eq(f(X0),a0) ),
    inference(resolution,[],[f5,f4]) ).

fof(f5,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( ~ eq(f(X7),a0)
      | ~ le(s(X6),X7)
      | ~ le(s(X5),X6)
      | ~ le(s(X4),X5)
      | ~ eq(f(X8),a0)
      | ~ eq(f(X6),a0)
      | ~ le(s(X7),X8)
      | ~ eq(f(X3),a0)
      | ~ eq(f(X5),a0)
      | ~ le(s(X3),X4)
      | ~ le(s(X8),X9)
      | ~ eq(f(X4),a0)
      | ~ eq(f(X9),a0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO612-1 : TPTP v8.1.0. Released v7.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.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 23:09:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.53  % (12297)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (12306)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53  % (12277)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (12297)Instruction limit reached!
% 0.20/0.54  % (12297)------------------------------
% 0.20/0.54  % (12297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12289)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)
% 0.20/0.54  % (12297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12297)Termination reason: Unknown
% 0.20/0.54  % (12297)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12297)Memory used [KB]: 1279
% 0.20/0.54  % (12297)Time elapsed: 0.005 s
% 0.20/0.54  % (12297)Instructions burned: 6 (million)
% 0.20/0.54  % (12297)------------------------------
% 0.20/0.54  % (12297)------------------------------
% 0.20/0.54  % (12306)Refutation not found, incomplete strategy% (12306)------------------------------
% 0.20/0.54  % (12306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12306)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (12306)Memory used [KB]: 5756
% 0.20/0.54  % (12306)Time elapsed: 0.004 s
% 0.20/0.54  % (12306)Instructions burned: 1 (million)
% 0.20/0.54  % (12306)------------------------------
% 0.20/0.54  % (12306)------------------------------
% 0.20/0.55  % (12289)Instruction limit reached!
% 0.20/0.55  % (12289)------------------------------
% 0.20/0.55  % (12289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12289)Termination reason: Unknown
% 0.20/0.55  % (12289)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12289)Memory used [KB]: 5884
% 0.20/0.55  % (12289)Time elapsed: 0.125 s
% 0.20/0.55  % (12289)Instructions burned: 5 (million)
% 0.20/0.55  % (12289)------------------------------
% 0.20/0.55  % (12289)------------------------------
% 0.20/0.58  % (12293)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)
% 0.20/0.58  % (12283)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)
% 0.20/0.58  % (12293)Refutation not found, incomplete strategy% (12293)------------------------------
% 0.20/0.58  % (12293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (12293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (12293)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (12293)Memory used [KB]: 5756
% 0.20/0.58  % (12293)Time elapsed: 0.003 s
% 0.20/0.58  % (12293)Instructions burned: 1 (million)
% 0.20/0.58  % (12293)------------------------------
% 0.20/0.58  % (12293)------------------------------
% 1.65/0.59  % (12285)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)
% 1.65/0.59  % (12278)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)
% 1.65/0.59  % (12285)Refutation not found, incomplete strategy% (12285)------------------------------
% 1.65/0.59  % (12285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (12285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (12284)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)
% 1.65/0.59  % (12285)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.59  
% 1.65/0.59  % (12285)Memory used [KB]: 5756
% 1.65/0.59  % (12285)Time elapsed: 0.003 s
% 1.65/0.59  % (12285)Instructions burned: 1 (million)
% 1.65/0.59  % (12285)------------------------------
% 1.65/0.59  % (12285)------------------------------
% 1.65/0.59  % (12282)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.65/0.59  % (12284)Refutation not found, incomplete strategy% (12284)------------------------------
% 1.65/0.59  % (12284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (12284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (12284)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.59  
% 1.65/0.59  % (12284)Memory used [KB]: 5756
% 1.65/0.59  % (12284)Time elapsed: 0.003 s
% 1.65/0.59  % (12284)Instructions burned: 1 (million)
% 1.65/0.59  % (12284)------------------------------
% 1.65/0.59  % (12284)------------------------------
% 1.65/0.59  % (12291)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)
% 1.65/0.59  % (12288)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.65/0.59  % (12286)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)
% 1.65/0.59  % (12282)First to succeed.
% 1.65/0.59  % (12286)Refutation not found, incomplete strategy% (12286)------------------------------
% 1.65/0.59  % (12286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (12286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (12286)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.59  
% 1.65/0.59  % (12286)Memory used [KB]: 5756
% 1.65/0.59  % (12286)Time elapsed: 0.002 s
% 1.65/0.59  % (12286)Instructions burned: 1 (million)
% 1.65/0.59  % (12286)------------------------------
% 1.65/0.59  % (12286)------------------------------
% 1.65/0.59  % (12300)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)
% 1.65/0.59  % (12300)Refutation not found, incomplete strategy% (12300)------------------------------
% 1.65/0.59  % (12300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (12282)Refutation found. Thanks to Tanya!
% 1.65/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.65/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.59  % (12282)------------------------------
% 1.65/0.59  % (12282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (12282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (12282)Termination reason: Refutation
% 1.65/0.59  
% 1.65/0.59  % (12282)Memory used [KB]: 5756
% 1.65/0.59  % (12282)Time elapsed: 0.171 s
% 1.65/0.59  % (12282)Instructions burned: 5 (million)
% 1.65/0.59  % (12282)------------------------------
% 1.65/0.59  % (12282)------------------------------
% 1.65/0.59  % (12276)Success in time 0.234 s
%------------------------------------------------------------------------------