TSTP Solution File: LCL176-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL176-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n026.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 17:39:11 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   35 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  24   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f58]) ).

fof(f58,plain,
    ! [X1] : ~ axiom(X1),
    inference(subsumption_resolution,[],[f54,f15]) ).

fof(f15,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f54,plain,
    ! [X1] :
      ( ~ axiom(X1)
      | ~ axiom(or(not(p),or(not(X1),p))) ),
    inference(resolution,[],[f37,f13]) ).

fof(f13,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f37,plain,
    ! [X3,X4] :
      ( ~ axiom(or(not(X3),or(not(X4),or(not(p),p))))
      | ~ axiom(X4)
      | ~ axiom(X3) ),
    inference(resolution,[],[f31,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f31,plain,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | ~ axiom(or(not(X3),or(not(X4),or(not(p),p))))
      | ~ axiom(X3) ),
    inference(resolution,[],[f27,f7]) ).

fof(f27,plain,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | ~ axiom(or(not(X4),or(not(X3),or(not(p),p))))
      | ~ theorem(X3) ),
    inference(resolution,[],[f19,f7]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ theorem(or(not(X1),or(not(X0),or(not(p),p))))
      | ~ theorem(X0)
      | ~ theorem(X1) ),
    inference(resolution,[],[f17,f11]) ).

fof(f11,plain,
    ! [X3,X4] :
      ( theorem(X3)
      | ~ theorem(X4)
      | ~ theorem(or(not(X4),X3)) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | theorem(X3)
      | ~ theorem(implies(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f17,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),or(not(p),p)))
      | ~ theorem(X0) ),
    inference(resolution,[],[f16,f11]) ).

fof(f16,plain,
    ~ theorem(or(not(p),p)),
    inference(definition_unfolding,[],[f9,f6]) ).

fof(f9,axiom,
    ~ theorem(implies(p,p)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LCL176-3 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.14  % 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 : n026.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 01:54:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (22088)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)
% 0.20/0.51  % (22097)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)
% 0.20/0.52  % (22107)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  % (22106)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)
% 0.20/0.52  % (22106)Refutation not found, incomplete strategy% (22106)------------------------------
% 0.20/0.52  % (22106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22106)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (22106)Memory used [KB]: 5756
% 0.20/0.52  % (22106)Time elapsed: 0.114 s
% 0.20/0.52  % (22106)------------------------------
% 0.20/0.52  % (22106)------------------------------
% 0.20/0.52  % (22098)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  % (22107)First to succeed.
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (22090)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)
% 0.20/0.52  % (22090)Refutation not found, incomplete strategy% (22090)------------------------------
% 0.20/0.52  % (22090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22090)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (22090)Memory used [KB]: 5756
% 0.20/0.52  % (22090)Time elapsed: 0.002 s
% 0.20/0.52  % (22090)Instructions burned: 1 (million)
% 0.20/0.52  % (22090)------------------------------
% 0.20/0.52  % (22090)------------------------------
% 0.20/0.52  % (22098)Instruction limit reached!
% 0.20/0.52  % (22098)------------------------------
% 0.20/0.52  % (22098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22098)Termination reason: Unknown
% 0.20/0.52  % (22098)Termination phase: Finite model building SAT solving
% 0.20/0.52  
% 0.20/0.52  % (22098)Memory used [KB]: 5884
% 0.20/0.52  % (22098)Time elapsed: 0.067 s
% 0.20/0.52  % (22098)Instructions burned: 7 (million)
% 0.20/0.52  % (22098)------------------------------
% 0.20/0.52  % (22098)------------------------------
% 0.20/0.53  % (22107)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (22107)------------------------------
% 0.20/0.53  % (22107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (22107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (22107)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (22107)Memory used [KB]: 5884
% 0.20/0.53  % (22107)Time elapsed: 0.068 s
% 0.20/0.53  % (22107)Instructions burned: 3 (million)
% 0.20/0.53  % (22107)------------------------------
% 0.20/0.53  % (22107)------------------------------
% 0.20/0.53  % (22079)Success in time 0.167 s
%------------------------------------------------------------------------------