TSTP Solution File: LCL101-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n029.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 17:38:51 EDT 2022

% Result   : Unsatisfiable 1.65s 0.63s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  13   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(unit_resulting_resolution,[],[f3,f18,f2,f21]) ).

fof(f21,plain,
    ! [X8,X6,X9,X7] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X9,X6),equivalent(X9,X7)),X8))
      | is_a_theorem(X8)
      | ~ is_a_theorem(equivalent(X6,X7)) ),
    inference(resolution,[],[f15,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3))
      | ~ is_a_theorem(X3) ),
    inference(resolution,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f15,plain,
    ! [X8,X6,X7] :
      ( ~ is_a_theorem(equivalent(equivalent(X6,X7),equivalent(X6,X8)))
      | ~ is_a_theorem(X7)
      | is_a_theorem(X8) ),
    inference(resolution,[],[f12,f1]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))) ),
    inference(resolution,[],[f10,f1]) ).

fof(f10,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
    inference(resolution,[],[f7,f5]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f2,f1]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)))),
    inference(resolution,[],[f5,f3]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).

fof(f18,plain,
    ! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(a,b)),equivalent(X1,c))),equivalent(X0,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
    inference(resolution,[],[f16,f12]) ).

fof(f16,plain,
    ! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,b)),equivalent(X0,c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    inference(resolution,[],[f13,f6]) ).

fof(f13,plain,
    ! [X0] : ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(a,b),c)),equivalent(X0,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
    inference(resolution,[],[f12,f4]) ).

fof(f4,axiom,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 01:45:27 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.43/0.57  % (20569)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)
% 1.65/0.57  % (20577)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)
% 1.65/0.58  % (20585)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)
% 1.65/0.58  % (20568)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)
% 1.65/0.58  % (20567)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)
% 1.65/0.58  % (20568)Refutation not found, incomplete strategy% (20568)------------------------------
% 1.65/0.58  % (20568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58  % (20568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58  % (20568)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.58  
% 1.65/0.58  % (20568)Memory used [KB]: 5756
% 1.65/0.58  % (20568)Time elapsed: 0.138 s
% 1.65/0.58  % (20568)Instructions burned: 2 (million)
% 1.65/0.58  % (20568)------------------------------
% 1.65/0.58  % (20568)------------------------------
% 1.65/0.58  % (20569)Instruction limit reached!
% 1.65/0.58  % (20569)------------------------------
% 1.65/0.58  % (20569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58  % (20569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58  % (20569)Termination reason: Unknown
% 1.65/0.58  % (20569)Termination phase: Saturation
% 1.65/0.58  
% 1.65/0.58  % (20569)Memory used [KB]: 5884
% 1.65/0.58  % (20569)Time elapsed: 0.129 s
% 1.65/0.58  % (20569)Instructions burned: 4 (million)
% 1.65/0.58  % (20569)------------------------------
% 1.65/0.58  % (20569)------------------------------
% 1.65/0.58  % (20584)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)
% 1.65/0.58  % (20576)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)
% 1.65/0.58  TRYING [1]
% 1.65/0.58  TRYING [2]
% 1.65/0.59  % (20576)Instruction limit reached!
% 1.65/0.59  % (20576)------------------------------
% 1.65/0.59  % (20576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (20576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (20576)Termination reason: Unknown
% 1.65/0.59  % (20576)Termination phase: Finite model building SAT solving
% 1.65/0.59  
% 1.65/0.59  % (20576)Memory used [KB]: 5884
% 1.65/0.59  % (20576)Time elapsed: 0.154 s
% 1.65/0.59  % (20576)Instructions burned: 6 (million)
% 1.65/0.59  % (20576)------------------------------
% 1.65/0.59  % (20576)------------------------------
% 1.65/0.59  % (20583)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  % (20577)Instruction limit reached!
% 1.65/0.59  % (20577)------------------------------
% 1.65/0.59  % (20577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (20577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (20577)Termination reason: Unknown
% 1.65/0.59  % (20577)Termination phase: Saturation
% 1.65/0.59  
% 1.65/0.59  % (20577)Memory used [KB]: 5756
% 1.65/0.59  % (20577)Time elapsed: 0.156 s
% 1.65/0.59  % (20577)Instructions burned: 2 (million)
% 1.65/0.59  % (20577)------------------------------
% 1.65/0.59  % (20577)------------------------------
% 1.65/0.59  % (20575)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)
% 1.65/0.62  % (20579)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)
% 1.65/0.62  % (20575)First to succeed.
% 1.65/0.62  % (20563)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)
% 1.65/0.63  % (20575)Refutation found. Thanks to Tanya!
% 1.65/0.63  % SZS status Unsatisfiable for theBenchmark
% 1.65/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.63  % (20575)------------------------------
% 1.65/0.63  % (20575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63  % (20575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.63  % (20575)Termination reason: Refutation
% 1.65/0.63  
% 1.65/0.63  % (20575)Memory used [KB]: 1535
% 1.65/0.63  % (20575)Time elapsed: 0.173 s
% 1.65/0.63  % (20575)Instructions burned: 16 (million)
% 1.65/0.63  % (20575)------------------------------
% 1.65/0.63  % (20575)------------------------------
% 1.65/0.63  % (20560)Success in time 0.264 s
%------------------------------------------------------------------------------