TSTP Solution File: LCL226-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL226-3 : 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 : n023.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 17:39:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   24 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  12   ~;   8   |;   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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f245,plain,
    $false,
    inference(subsumption_resolution,[],[f244,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f244,plain,
    ~ axiom(implies(implies(r,s),implies(or(q,r),or(q,s)))),
    inference(resolution,[],[f178,f7]) ).

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

fof(f178,plain,
    ~ theorem(implies(implies(r,s),implies(or(q,r),or(q,s)))),
    inference(resolution,[],[f95,f11]) ).

fof(f11,plain,
    ~ theorem(implies(or(q,r),implies(implies(r,s),or(q,s)))),
    inference(superposition,[],[f9,f6]) ).

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

fof(f9,axiom,
    ~ theorem(implies(or(q,r),implies(or(not(r),s),or(q,s)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( theorem(implies(X0,implies(X1,X2)))
      | ~ theorem(implies(X1,implies(X0,X2))) ),
    inference(forward_demodulation,[],[f94,f6]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( theorem(implies(X0,implies(X1,X2)))
      | ~ theorem(implies(X1,or(not(X0),X2))) ),
    inference(superposition,[],[f52,f6]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,implies(X1,X2)))
      | ~ theorem(implies(X1,or(X0,X2))) ),
    inference(resolution,[],[f21,f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ axiom(implies(X0,X1))
      | theorem(X1)
      | ~ theorem(X0) ),
    inference(resolution,[],[f8,f7]) ).

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

fof(f21,plain,
    ! [X2,X0,X1] : axiom(implies(implies(X0,or(X2,X1)),or(X2,implies(X0,X1)))),
    inference(forward_demodulation,[],[f19,f6]) ).

fof(f19,plain,
    ! [X2,X0,X1] : axiom(implies(or(not(X0),or(X2,X1)),or(X2,implies(X0,X1)))),
    inference(superposition,[],[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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL226-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n023.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 02:07:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (712)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.49  % (712)Refutation not found, incomplete strategy% (712)------------------------------
% 0.20/0.49  % (712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (712)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (712)Memory used [KB]: 5756
% 0.20/0.49  % (712)Time elapsed: 0.094 s
% 0.20/0.49  % (712)Instructions burned: 1 (million)
% 0.20/0.49  % (712)------------------------------
% 0.20/0.49  % (712)------------------------------
% 0.20/0.50  % (720)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)
% 0.20/0.50  % (730)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)
% 0.20/0.50  % (730)Refutation not found, incomplete strategy% (730)------------------------------
% 0.20/0.50  % (730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (730)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (730)Memory used [KB]: 5756
% 0.20/0.50  % (730)Time elapsed: 0.109 s
% 0.20/0.50  % (730)Instructions burned: 1 (million)
% 0.20/0.50  % (730)------------------------------
% 0.20/0.50  % (730)------------------------------
% 0.20/0.51  % (715)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)
% 0.20/0.51  % (720)First to succeed.
% 0.20/0.51  % (720)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (720)------------------------------
% 0.20/0.51  % (720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (720)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (720)Memory used [KB]: 5884
% 0.20/0.51  % (720)Time elapsed: 0.121 s
% 0.20/0.51  % (720)Instructions burned: 13 (million)
% 0.20/0.51  % (720)------------------------------
% 0.20/0.51  % (720)------------------------------
% 0.20/0.51  % (707)Success in time 0.162 s
%------------------------------------------------------------------------------