TSTP Solution File: SYN686-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN686-1 : 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 : 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 19:39:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  100 (  58   ~;  42   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f252,plain,
    $false,
    inference(resolution,[],[f249,f1]) ).

fof(f1,axiom,
    ! [X0] : p11(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).

fof(f249,plain,
    ~ p11(c39,c39),
    inference(resolution,[],[f246,f6]) ).

fof(f6,axiom,
    ! [X5] : p3(X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).

fof(f246,plain,
    ( ~ p3(c36,c36)
    | ~ p11(c39,c39) ),
    inference(resolution,[],[f243,f12]) ).

fof(f12,axiom,
    ! [X11] : p2(X11,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

fof(f243,plain,
    ( ~ p2(c32,c32)
    | ~ p3(c36,c36)
    | ~ p11(c39,c39) ),
    inference(resolution,[],[f217,f17]) ).

fof(f17,axiom,
    p3(c36,f7(c33,c34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).

fof(f217,plain,
    ! [X0] :
      ( ~ p3(X0,f7(c33,c34))
      | ~ p3(X0,c36)
      | ~ p11(c39,c39)
      | ~ p2(c32,c32) ),
    inference(resolution,[],[f214,f28]) ).

fof(f28,axiom,
    ! [X26,X27,X5] :
      ( p3(X26,X27)
      | ~ p3(X5,X27)
      | ~ p3(X5,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).

fof(f214,plain,
    ( ~ p3(f7(c33,c34),c36)
    | ~ p2(c32,c32)
    | ~ p11(c39,c39) ),
    inference(resolution,[],[f112,f20]) ).

fof(f20,axiom,
    p4(f5(c32,f7(c33,c34)),c35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_20) ).

fof(f112,plain,
    ! [X2,X3] :
      ( ~ p4(f5(X2,X3),c35)
      | ~ p3(X3,c36)
      | ~ p2(X2,c32)
      | ~ p11(c39,c39) ),
    inference(resolution,[],[f93,f50]) ).

fof(f50,axiom,
    ! [X94,X95,X92,X93] :
      ( p4(f5(X92,X93),f5(X94,X95))
      | ~ p2(X92,X94)
      | ~ p3(X93,X95) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).

fof(f93,plain,
    ! [X4] :
      ( ~ p4(X4,f5(c32,c36))
      | ~ p11(c39,c39)
      | ~ p4(X4,c35) ),
    inference(resolution,[],[f82,f19]) ).

fof(f19,axiom,
    p4(f5(c32,c36),c37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_19) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ p4(X1,c35)
      | ~ p4(X0,c37)
      | ~ p4(X1,X0)
      | ~ p11(c39,c39) ),
    inference(resolution,[],[f75,f27]) ).

fof(f27,axiom,
    ! [X4,X24,X25] :
      ( p4(X24,X25)
      | ~ p4(X4,X25)
      | ~ p4(X4,X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_27) ).

fof(f75,plain,
    ! [X0] :
      ( ~ p4(X0,c35)
      | ~ p11(c39,c39)
      | ~ p4(X0,c37) ),
    inference(resolution,[],[f72,f27]) ).

fof(f72,plain,
    ( ~ p4(c37,c35)
    | ~ p11(c39,c39) ),
    inference(resolution,[],[f70,f5]) ).

fof(f5,axiom,
    ! [X4] : p4(X4,X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).

fof(f70,plain,
    ( ~ p4(c41,c41)
    | ~ p4(c37,c35)
    | ~ p11(c39,c39) ),
    inference(resolution,[],[f68,f17]) ).

fof(f68,plain,
    ( ~ p3(c36,f7(c33,c34))
    | ~ p4(c41,c41)
    | ~ p4(c37,c35)
    | ~ p11(c39,c39) ),
    inference(resolution,[],[f66,f51]) ).

fof(f51,axiom,
    ! [X98,X99,X96,X97] :
      ( p8(f12(X96,X97),f12(X98,X99))
      | ~ p3(X97,X99)
      | ~ p11(X96,X98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_51) ).

fof(f66,plain,
    ( ~ p8(f12(c39,c36),f12(c39,f7(c33,c34)))
    | ~ p4(c41,c41)
    | ~ p4(c37,c35) ),
    inference(resolution,[],[f63,f41]) ).

fof(f41,axiom,
    ! [X58,X59,X56,X57] :
      ( p9(f10(X56,X57),f10(X58,X59))
      | ~ p8(X56,X58)
      | ~ p4(X57,X59) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).

fof(f63,plain,
    ( ~ p9(f10(f12(c39,c36),c37),f10(f12(c39,f7(c33,c34)),c35))
    | ~ p4(c41,c41) ),
    inference(resolution,[],[f59,f21]) ).

fof(f21,axiom,
    p30(f10(f12(c39,c36),c37),c41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_21) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ p9(X0,f10(f12(c39,f7(c33,c34)),c35))
      | ~ p30(X0,X1)
      | ~ p4(X1,c41) ),
    inference(resolution,[],[f39,f22]) ).

fof(f22,axiom,
    ~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_22) ).

fof(f39,axiom,
    ! [X50,X51,X48,X49] :
      ( p30(X48,X49)
      | ~ p9(X51,X48)
      | ~ p4(X50,X49)
      | ~ p30(X51,X50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN686-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:37:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  % (27120)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)
% 0.19/0.49  % (27120)First to succeed.
% 0.19/0.50  % (27137)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50  % (27128)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (27134)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  % (27125)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  % (27120)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (27120)------------------------------
% 0.19/0.52  % (27120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (27120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (27120)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (27120)Memory used [KB]: 1151
% 0.19/0.52  % (27120)Time elapsed: 0.098 s
% 0.19/0.52  % (27120)Instructions burned: 13 (million)
% 0.19/0.52  % (27120)------------------------------
% 0.19/0.52  % (27120)------------------------------
% 0.19/0.52  % (27110)Success in time 0.162 s
%------------------------------------------------------------------------------