TSTP Solution File: SYO629-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYO629-1 : 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 : n007.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 19:48:44 EDT 2022

% Result   : Unsatisfiable 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (   6 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   97 (  54   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(unit_resulting_resolution,[],[f2,f9,f41]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( ~ iLEQ(g(X0),X1)
      | ~ iLEQ(X0,X2) ),
    inference(subsumption_resolution,[],[f40,f36]) ).

fof(f36,plain,
    ! [X0] : ~ 'E'('0',f(X0)),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(X0)) ),
    inference(resolution,[],[f30,f2]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ iLEQ(X1,X0)
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(X1)) ),
    inference(resolution,[],[f29,f9]) ).

fof(f29,plain,
    ! [X3,X4,X5] :
      ( ~ iLEQ(X4,g(X5))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(X3,X4)
      | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],[f27,f2]) ).

fof(f27,plain,
    ! [X6,X7,X4,X5] :
      ( ~ iLEQ(g(X4),g(X7))
      | ~ 'E'('0',f(X6))
      | ~ iLEQ(X6,X7)
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(X4,g(X5)) ),
    inference(resolution,[],[f21,f2]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iLEQ(g(X4),g(X3))
      | ~ iLEQ(X0,g(X1))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(X3))
      | ~ iLEQ(g(X0),g(X2))
      | ~ iLEQ(X4,X2) ),
    inference(resolution,[],[f20,f19]) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( 'E'('0',f(X2))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(X1,X2)
      | ~ iLEQ(g(X1),g(X0)) ),
    inference(resolution,[],[f18,f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( 'E'(s('0'),f(X1))
      | ~ iLEQ(X1,X0)
      | 'E'('0',f(X0)) ),
    inference(resolution,[],[f14,f4]) ).

fof(f4,axiom,
    ! [X1] :
      ( 'LE'(f(X1),s('0'))
      | 'E'(s('0'),f(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).

fof(f14,plain,
    ! [X2,X3] :
      ( ~ 'LE'(f(X2),s('0'))
      | 'E'('0',f(X3))
      | ~ iLEQ(X2,X3) ),
    inference(subsumption_resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0] : ~ 'LE'(f(X0),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_05) ).

fof(f6,axiom,
    ! [X2,X3] :
      ( 'LE'(f(X3),'0')
      | ~ 'LE'(f(X2),s('0'))
      | 'E'('0',f(X3))
      | ~ iLEQ(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_06) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ 'E'(s('0'),f(X0))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(g(X0),g(X1)) ),
    inference(resolution,[],[f17,f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ 'E'('0',f(g(X0)))
      | ~ 'E'('0',f(X0)) ),
    inference(subsumption_resolution,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0] : ~ 'E'(f(X0),f(g(X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_01) ).

fof(f3,axiom,
    ! [X0] :
      ( 'E'(f(X0),f(g(X0)))
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_03) ).

fof(f17,plain,
    ! [X0,X1] :
      ( 'E'('0',f(X1))
      | ~ iLEQ(g(X0),X1)
      | ~ 'E'(s('0'),f(X0)) ),
    inference(resolution,[],[f16,f15]) ).

fof(f16,plain,
    ! [X4] :
      ( ~ 'E'(s('0'),f(g(X4)))
      | ~ 'E'(s('0'),f(X4)) ),
    inference(subsumption_resolution,[],[f7,f1]) ).

fof(f7,axiom,
    ! [X4] :
      ( ~ 'E'(s('0'),f(X4))
      | 'E'(f(X4),f(g(X4)))
      | ~ 'E'(s('0'),f(g(X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_07) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'('0',f(X0))
      | ~ iLEQ(X1,g(X2))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(g(X1),g(X0)) ),
    inference(resolution,[],[f19,f13]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( 'E'('0',f(X2))
      | ~ iLEQ(g(X0),X1)
      | ~ iLEQ(X0,X2) ),
    inference(resolution,[],[f39,f15]) ).

fof(f39,plain,
    ! [X8,X9] :
      ( ~ 'E'(s('0'),f(X8))
      | ~ iLEQ(g(X8),X9) ),
    inference(resolution,[],[f36,f17]) ).

fof(f9,axiom,
    ! [X0] : iLEQ(X0,g(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_09) ).

fof(f2,axiom,
    ! [X0] : iLEQ(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n007.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 22:53:31 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.45  % (13291)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)
% 0.15/0.46  % (13291)Refutation not found, incomplete strategy% (13291)------------------------------
% 0.15/0.46  % (13291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46  % (13291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46  % (13291)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.46  
% 0.15/0.46  % (13291)Memory used [KB]: 5756
% 0.15/0.46  % (13291)Time elapsed: 0.003 s
% 0.15/0.46  % (13291)Instructions burned: 1 (million)
% 0.15/0.46  % (13291)------------------------------
% 0.15/0.46  % (13291)------------------------------
% 0.15/0.47  % (13283)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)
% 0.15/0.47  % (13276)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)
% 0.15/0.47  % (13276)Refutation not found, incomplete strategy% (13276)------------------------------
% 0.15/0.47  % (13276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (13276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (13276)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.47  
% 0.15/0.47  % (13276)Memory used [KB]: 1279
% 0.15/0.47  % (13276)Time elapsed: 0.004 s
% 0.15/0.47  % (13276)Instructions burned: 1 (million)
% 0.15/0.47  % (13276)------------------------------
% 0.15/0.47  % (13276)------------------------------
% 0.15/0.47  % (13290)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)
% 0.15/0.48  TRYING [1]
% 0.15/0.48  TRYING [2]
% 0.15/0.48  % (13282)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)
% 0.15/0.48  TRYING [3]
% 0.15/0.48  % (13283)Refutation not found, incomplete strategy% (13283)------------------------------
% 0.15/0.48  % (13283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  TRYING [3]
% 0.15/0.48  % (13290)Instruction limit reached!
% 0.15/0.48  % (13290)------------------------------
% 0.15/0.48  % (13290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (13290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (13290)Termination reason: Unknown
% 0.15/0.48  % (13290)Termination phase: Finite model building constraint generation
% 0.15/0.48  
% 0.15/0.48  % (13290)Memory used [KB]: 5884
% 0.15/0.48  % (13290)Time elapsed: 0.115 s
% 0.15/0.48  % (13290)Instructions burned: 6 (million)
% 0.15/0.48  % (13290)------------------------------
% 0.15/0.48  % (13290)------------------------------
% 0.15/0.48  % (13289)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)
% 0.15/0.48  % (13283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (13283)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (13283)Memory used [KB]: 5756
% 0.15/0.48  % (13283)Time elapsed: 0.004 s
% 0.15/0.48  % (13283)Instructions burned: 1 (million)
% 0.15/0.48  % (13283)------------------------------
% 0.15/0.48  % (13283)------------------------------
% 0.15/0.48  % (13289)First to succeed.
% 0.15/0.48  % (13299)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)
% 0.15/0.48  % (13282)Refutation not found, incomplete strategy% (13282)------------------------------
% 0.15/0.48  % (13282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (13299)Also succeeded, but the first one will report.
% 0.15/0.48  % (13289)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48  % (13289)------------------------------
% 0.15/0.48  % (13289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (13289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (13289)Termination reason: Refutation
% 0.15/0.48  
% 0.15/0.48  % (13289)Memory used [KB]: 1279
% 0.15/0.48  % (13289)Time elapsed: 0.114 s
% 0.15/0.48  % (13289)Instructions burned: 4 (million)
% 0.15/0.48  % (13289)------------------------------
% 0.15/0.48  % (13289)------------------------------
% 0.15/0.48  % (13274)Success in time 0.165 s
%------------------------------------------------------------------------------