TSTP Solution File: SYN273-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN273-1 : 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 : n026.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 19:37:21 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   63 (  37   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f453,plain,
    $false,
    inference(resolution,[],[f452,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f452,plain,
    ~ l0(c),
    inference(resolution,[],[f450,f28]) ).

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).

fof(f450,plain,
    ( ~ k0(e)
    | ~ l0(c) ),
    inference(resolution,[],[f449,f3]) ).

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f449,plain,
    ! [X0] :
      ( ~ n0(X0,e)
      | ~ l0(c)
      | ~ k0(e) ),
    inference(resolution,[],[f448,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f448,plain,
    ( ~ k1(e)
    | ~ k0(e)
    | ~ l0(c) ),
    inference(resolution,[],[f439,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

fof(f439,plain,
    ! [X1] :
      ( ~ n0(X1,e)
      | ~ k0(e)
      | ~ l0(c)
      | ~ k1(e) ),
    inference(resolution,[],[f430,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f430,plain,
    ( ~ l1(e,e)
    | ~ l0(c)
    | ~ k1(e)
    | ~ k0(e) ),
    inference(resolution,[],[f424,f168]) ).

fof(f168,axiom,
    ( k2(e,e)
    | ~ l1(e,e) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_130) ).

fof(f424,plain,
    ! [X4] :
      ( ~ k2(X4,e)
      | ~ l0(c)
      | ~ k1(X4)
      | ~ k0(e) ),
    inference(resolution,[],[f420,f59]) ).

fof(f59,axiom,
    ! [X2,X3] :
      ( m1(X2,X3,X2)
      | ~ l0(X2)
      | ~ k0(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).

fof(f420,plain,
    ! [X0,X1] :
      ( ~ m1(X1,e,c)
      | ~ k2(X0,e)
      | ~ k1(X0) ),
    inference(resolution,[],[f165,f375]) ).

fof(f375,plain,
    ~ k2(c,e),
    inference(resolution,[],[f374,f232]) ).

fof(f232,axiom,
    ! [X9,X4] :
      ( k3(X9,X9,X4)
      | ~ k2(X4,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_194) ).

fof(f374,plain,
    ~ k3(e,e,c),
    inference(resolution,[],[f325,f369]) ).

fof(f369,axiom,
    ~ p4(e,c,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f325,axiom,
    ! [X11,X6] :
      ( p4(X11,X6,X11)
      | ~ k3(X11,X11,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_287) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( k2(X6,X7)
      | ~ k1(X9)
      | ~ m1(X8,X7,X6)
      | ~ k2(X9,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_127) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN273-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % 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 : n026.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 21:53:51 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (348)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.49  % (340)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)
% 0.18/0.49  % (332)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (328)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)
% 0.18/0.50  % (339)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (338)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51  % (335)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)
% 0.18/0.51  % (327)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51  % (353)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)
% 0.18/0.52  % (345)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)
% 0.18/0.52  % (326)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52  % (329)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)
% 0.18/0.52  % (344)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (331)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)
% 0.18/0.52  % (330)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (350)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52  % (335)First to succeed.
% 0.18/0.53  % (335)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (335)------------------------------
% 0.18/0.53  % (335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (335)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (335)Memory used [KB]: 1535
% 0.18/0.53  % (335)Time elapsed: 0.119 s
% 0.18/0.53  % (335)Instructions burned: 11 (million)
% 0.18/0.53  % (335)------------------------------
% 0.18/0.53  % (335)------------------------------
% 0.18/0.53  % (325)Success in time 0.188 s
%------------------------------------------------------------------------------