TSTP Solution File: LCL174-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL174-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.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 17:47:07 EDT 2022

% Result   : Unsatisfiable 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   27 (  24 unt;   0 def)
%            Number of atoms       :   31 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f526,plain,
    $false,
    inference(subsumption_resolution,[],[f525,f476]) ).

fof(f476,plain,
    ~ theorem(or(sF5,or(sF2,sF6))),
    inference(subsumption_resolution,[],[f474,f19]) ).

fof(f19,plain,
    ~ theorem(sF8),
    inference(definition_folding,[],[f9,f18,f17,f16,f10,f15,f14,f13,f12,f11,f10]) ).

fof(f11,plain,
    or(sF0,q) = sF1,
    introduced(function_definition,[]) ).

fof(f12,plain,
    not(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f13,plain,
    not(q) = sF3,
    introduced(function_definition,[]) ).

fof(f14,plain,
    or(sF3,r) = sF4,
    introduced(function_definition,[]) ).

fof(f15,plain,
    not(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f10,plain,
    not(p) = sF0,
    introduced(function_definition,[]) ).

fof(f16,plain,
    sF6 = or(sF0,r),
    introduced(function_definition,[]) ).

fof(f17,plain,
    or(sF5,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f18,plain,
    sF8 = or(sF2,sF7),
    introduced(function_definition,[]) ).

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

fof(f474,plain,
    ( ~ theorem(or(sF5,or(sF2,sF6)))
    | theorem(sF8) ),
    inference(resolution,[],[f473,f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f473,plain,
    axiom(or(not(or(sF5,or(sF2,sF6))),sF8)),
    inference(superposition,[],[f210,f18]) ).

fof(f210,plain,
    ! [X4] : axiom(or(not(or(sF5,or(X4,sF6))),or(X4,sF7))),
    inference(superposition,[],[f4,f17]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f525,plain,
    theorem(or(sF5,or(sF2,sF6))),
    inference(resolution,[],[f522,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f522,plain,
    axiom(or(sF5,or(sF2,sF6))),
    inference(forward_demodulation,[],[f521,f15]) ).

fof(f521,plain,
    axiom(or(not(sF4),or(sF2,sF6))),
    inference(forward_demodulation,[],[f518,f16]) ).

fof(f518,plain,
    axiom(or(not(sF4),or(sF2,or(sF0,r)))),
    inference(superposition,[],[f382,f14]) ).

fof(f382,plain,
    ! [X0] : axiom(or(not(or(sF3,X0)),or(sF2,or(sF0,X0)))),
    inference(forward_demodulation,[],[f381,f13]) ).

fof(f381,plain,
    ! [X0] : axiom(or(not(or(not(q),X0)),or(sF2,or(sF0,X0)))),
    inference(forward_demodulation,[],[f370,f12]) ).

fof(f370,plain,
    ! [X0] : axiom(or(not(or(not(q),X0)),or(not(sF1),or(sF0,X0)))),
    inference(superposition,[],[f5,f11]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL174-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 01:44:12 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.46  % (23557)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.46  % (23564)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.48  % (23564)First to succeed.
% 0.21/0.48  % (23564)Refutation found. Thanks to Tanya!
% 0.21/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48  % (23564)------------------------------
% 0.21/0.48  % (23564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48  % (23564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48  % (23564)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (23564)Memory used [KB]: 5756
% 0.21/0.48  % (23564)Time elapsed: 0.023 s
% 0.21/0.48  % (23564)Instructions burned: 20 (million)
% 0.21/0.48  % (23564)------------------------------
% 0.21/0.48  % (23564)------------------------------
% 0.21/0.48  % (23550)Success in time 0.127 s
%------------------------------------------------------------------------------