TSTP Solution File: LCL239-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL239-3 : 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 : 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 17:39:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   28 (  21 unt;   0 def)
%            Number of atoms       :   37 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f74,plain,
    $false,
    inference(subsumption_resolution,[],[f72,f65]) ).

fof(f65,plain,
    ! [X1] : theorem(or(X1,not(X1))),
    inference(resolution,[],[f61,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,X1))
      | theorem(or(X1,X0)) ),
    inference(resolution,[],[f20,f11]) ).

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

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

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

fof(f20,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f15,f7]) ).

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

fof(f15,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) ).

fof(f61,plain,
    ! [X4] : theorem(or(not(X4),X4)),
    inference(resolution,[],[f36,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f19,f11]) ).

fof(f19,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f14,f7]) ).

fof(f14,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f36,plain,
    ! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
    inference(resolution,[],[f27,f18]) ).

fof(f18,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f12,f7]) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

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

fof(f27,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X1,X2)))
      | theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f21,f11]) ).

fof(f21,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f13,f7]) ).

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(f72,plain,
    ~ theorem(or(not(p),not(not(p)))),
    inference(resolution,[],[f70,f16]) ).

fof(f16,plain,
    ~ theorem(not(not(or(not(p),not(not(p)))))),
    inference(definition_unfolding,[],[f10,f9]) ).

fof(f9,axiom,
    ! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).

fof(f10,axiom,
    ~ theorem(not(and(p,not(p)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f70,plain,
    ! [X0] :
      ( theorem(not(not(X0)))
      | ~ theorem(X0) ),
    inference(resolution,[],[f65,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL239-3 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.13  % 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 : n007.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 01:32:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (26010)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50  % (26018)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (26026)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.52  % (26026)Refutation not found, incomplete strategy% (26026)------------------------------
% 0.20/0.52  % (26026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26026)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (26026)Memory used [KB]: 5756
% 0.20/0.52  % (26026)Time elapsed: 0.121 s
% 0.20/0.52  % (26026)Instructions burned: 1 (million)
% 0.20/0.52  % (26026)------------------------------
% 0.20/0.52  % (26026)------------------------------
% 0.20/0.52  % (26025)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)
% 0.20/0.52  % (26017)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  % (26034)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (26017)First to succeed.
% 0.20/0.52  % (26034)Refutation not found, incomplete strategy% (26034)------------------------------
% 0.20/0.52  % (26034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26034)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (26034)Memory used [KB]: 5756
% 0.20/0.52  % (26034)Time elapsed: 0.103 s
% 0.20/0.52  % (26034)------------------------------
% 0.20/0.52  % (26034)------------------------------
% 0.20/0.52  % (26025)Instruction limit reached!
% 0.20/0.52  % (26025)------------------------------
% 0.20/0.52  % (26025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26017)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (26017)------------------------------
% 0.20/0.52  % (26017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26017)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (26017)Memory used [KB]: 5884
% 0.20/0.52  % (26017)Time elapsed: 0.121 s
% 0.20/0.52  % (26017)Instructions burned: 3 (million)
% 0.20/0.52  % (26017)------------------------------
% 0.20/0.52  % (26017)------------------------------
% 0.20/0.52  % (26004)Success in time 0.172 s
%------------------------------------------------------------------------------