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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n029.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 19:38:57 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (  11 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   41 (  17   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f134,plain,
    $false,
    inference(subsumption_resolution,[],[f132,f27]) ).

fof(f27,plain,
    ~ p12(c15),
    inference(consistent_polarity_flipping,[],[f1]) ).

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

fof(f132,plain,
    p12(c15),
    inference(resolution,[],[f131,f22]) ).

fof(f22,plain,
    ! [X1] : ~ p2(X1,X1),
    inference(consistent_polarity_flipping,[],[f3]) ).

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

fof(f131,plain,
    ! [X0] :
      ( p2(X0,c15)
      | p12(X0) ),
    inference(subsumption_resolution,[],[f127,f123]) ).

fof(f123,plain,
    ! [X0] :
      ( p11(X0,c16)
      | p2(X0,c15) ),
    inference(resolution,[],[f69,f25]) ).

fof(f25,plain,
    ! [X38,X36,X37] :
      ( ~ p11(X36,f3(f8(X37),f3(f8(X38),f5(f6(f7(c14))))))
      | p11(X36,X37) ),
    inference(consistent_polarity_flipping,[],[f21]) ).

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(f69,plain,
    ! [X0] :
      ( p11(X0,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))
      | p2(X0,c15) ),
    inference(resolution,[],[f53,f22]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( p2(X1,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))
      | p11(X0,X1)
      | p2(X0,c15) ),
    inference(resolution,[],[f23,f29]) ).

fof(f29,plain,
    ! [X26,X27,X24,X25] :
      ( ~ p11(X24,X25)
      | p11(X26,X27)
      | p2(X27,X25)
      | p2(X26,X24) ),
    inference(consistent_polarity_flipping,[],[f17]) ).

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

fof(f23,plain,
    p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
    inference(consistent_polarity_flipping,[],[f19]) ).

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(f127,plain,
    ! [X0] :
      ( p12(X0)
      | ~ p11(X0,c16)
      | p2(X0,c15) ),
    inference(resolution,[],[f125,f36]) ).

fof(f36,plain,
    ! [X21] :
      ( ~ p2(X21,f9(c17))
      | ~ p11(X21,c16)
      | p12(X21) ),
    inference(consistent_polarity_flipping,[],[f14]) ).

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

fof(f125,plain,
    ! [X0] :
      ( p2(X0,f9(c17))
      | p2(X0,c15) ),
    inference(resolution,[],[f122,f30]) ).

fof(f30,plain,
    ! [X1,X19,X20] :
      ( ~ p2(X19,X20)
      | p2(X1,X20)
      | p2(X1,X19) ),
    inference(consistent_polarity_flipping,[],[f13]) ).

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

fof(f122,plain,
    p2(f9(c17),c15),
    inference(resolution,[],[f69,f32]) ).

fof(f32,plain,
    ! [X22,X23] : ~ p11(X22,f3(f8(X23),f3(f8(X22),f5(f6(f7(c14)))))),
    inference(consistent_polarity_flipping,[],[f16]) ).

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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYN573-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:32:42 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  % (21331)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.46  % (21307)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48  % (21313)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48  % (21315)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (21306)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49  % (21323)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (21329)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.49  % (21312)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49  % (21323)First to succeed.
% 0.19/0.49  % (21322)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (21323)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (21323)------------------------------
% 0.19/0.50  % (21323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (21323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (21323)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (21323)Memory used [KB]: 1023
% 0.19/0.50  % (21323)Time elapsed: 0.115 s
% 0.19/0.50  % (21323)Instructions burned: 8 (million)
% 0.19/0.50  % (21323)------------------------------
% 0.19/0.50  % (21323)------------------------------
% 0.19/0.50  % (21302)Success in time 0.154 s
%------------------------------------------------------------------------------