TSTP Solution File: SYN573-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN573-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n015.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 19:27:47 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   47 (  26   ~;  20   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(unit_resulting_resolution,[],[f3,f30,f16,f3,f54]) ).

fof(f54,plain,
    ! [X2,X3,X1] :
      ( ~ p2(X3,c15)
      | ~ p11(X2,X1)
      | ~ p2(X3,X2)
      | ~ p2(X1,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))) ),
    inference(resolution,[],[f50,f13]) ).

fof(f13,axiom,
    ! [X1,X19,X20] :
      ( p2(X19,X20)
      | ~ p2(X1,X19)
      | ~ p2(X1,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ p2(X1,c15)
      | ~ p2(X0,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))
      | ~ p11(X1,X0) ),
    inference(resolution,[],[f26,f24]) ).

fof(f24,plain,
    ! [X26,X27,X24] :
      ( sP1(X24,X27)
      | ~ p2(X26,X24)
      | ~ p11(X26,X27) ),
    inference(cnf_transformation,[],[f24_D]) ).

fof(f24_D,plain,
    ! [X27,X24] :
      ( ! [X26] :
          ( ~ p2(X26,X24)
          | ~ p11(X26,X27) )
    <=> ~ sP1(X24,X27) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ sP1(c15,X0)
      | ~ p2(X0,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))) ),
    inference(resolution,[],[f19,f25]) ).

fof(f25,plain,
    ! [X27,X24,X25] :
      ( p11(X24,X25)
      | ~ p2(X27,X25)
      | ~ sP1(X24,X27) ),
    inference(general_splitting,[],[f17,f24_D]) ).

fof(f17,axiom,
    ! [X26,X27,X24,X25] :
      ( ~ p2(X26,X24)
      | ~ p2(X27,X25)
      | ~ p11(X26,X27)
      | p11(X24,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_17) ).

fof(f19,axiom,
    ~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_19) ).

fof(f16,axiom,
    ! [X22,X23] : p11(X22,f3(f8(X23),f3(f8(X22),f5(f6(f7(c14)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).

fof(f30,plain,
    p2(c15,f9(c17)),
    inference(subsumption_resolution,[],[f28,f1]) ).

fof(f1,axiom,
    p12(c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15_is_p12_1) ).

fof(f28,plain,
    ( p2(c15,f9(c17))
    | ~ p12(c15) ),
    inference(resolution,[],[f27,f14]) ).

fof(f14,axiom,
    ! [X21] :
      ( p11(X21,c16)
      | ~ p12(X21)
      | p2(X21,f9(c17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_14) ).

fof(f27,plain,
    ~ p11(c15,c16),
    inference(resolution,[],[f21,f19]) ).

fof(f21,axiom,
    ! [X38,X36,X37] :
      ( p11(X36,f3(f8(X37),f3(f8(X38),f5(f6(f7(c14))))))
      | ~ p11(X36,X37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_21) ).

fof(f3,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN573-1 : TPTP v8.1.0. Released v2.5.0.
% 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
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 22:40:21 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (15834)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)
% 0.21/0.50  % (15851)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)
% 0.21/0.51  % (15842)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)
% 0.21/0.52  % (15842)First to succeed.
% 0.21/0.52  % (15852)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)
% 0.21/0.52  % (15844)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)
% 0.21/0.52  % (15842)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (15842)------------------------------
% 0.21/0.52  % (15842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (15842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (15842)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (15842)Memory used [KB]: 1407
% 0.21/0.52  % (15842)Time elapsed: 0.111 s
% 0.21/0.52  % (15842)Instructions burned: 7 (million)
% 0.21/0.52  % (15842)------------------------------
% 0.21/0.52  % (15842)------------------------------
% 0.21/0.52  % (15825)Success in time 0.168 s
%------------------------------------------------------------------------------