TSTP Solution File: CSR004+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CSR004+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : n027.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 15:58:29 EDT 2022

% Result   : Theorem 1.40s 0.53s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  18 unt;   0 def)
%            Number of atoms       :   78 (  30 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   83 (  32   ~;  28   |;  21   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f605,plain,
    $false,
    inference(subsumption_resolution,[],[f604,f362]) ).

fof(f362,plain,
    holdsAt(filling,plus(n1,plus(n1,n1))),
    inference(backward_demodulation,[],[f264,f315]) ).

fof(f315,plain,
    n3 = plus(n1,plus(n1,n1)),
    inference(forward_demodulation,[],[f267,f244]) ).

fof(f244,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    n2 = plus(n1,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).

fof(f267,plain,
    n3 = plus(n1,n2),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    n3 = plus(n1,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).

fof(f264,plain,
    holdsAt(filling,n3),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,axiom,
    holdsAt(filling,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_3) ).

fof(f604,plain,
    ~ holdsAt(filling,plus(n1,plus(n1,n1))),
    inference(subsumption_resolution,[],[f595,f360]) ).

fof(f360,plain,
    holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1))),
    inference(backward_demodulation,[],[f224,f315]) ).

fof(f224,plain,
    holdsAt(waterLevel(n3),n3),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    holdsAt(waterLevel(n3),n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_3) ).

fof(f595,plain,
    ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
    | ~ holdsAt(filling,plus(n1,plus(n1,n1))) ),
    inference(resolution,[],[f485,f361]) ).

fof(f361,plain,
    ~ happens(overflow,plus(n1,plus(n1,n1))),
    inference(backward_demodulation,[],[f232,f315]) ).

fof(f232,plain,
    ~ happens(overflow,n3),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ~ happens(overflow,n3),
    inference(flattening,[],[f58]) ).

fof(f58,negated_conjecture,
    ~ happens(overflow,n3),
    inference(negated_conjecture,[],[f57]) ).

fof(f57,conjecture,
    happens(overflow,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',overflow_3) ).

fof(f485,plain,
    ! [X1] :
      ( happens(overflow,X1)
      | ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),X1)
      | ~ holdsAt(filling,X1) ),
    inference(forward_demodulation,[],[f307,f315]) ).

fof(f307,plain,
    ! [X1] :
      ( happens(overflow,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | ~ holdsAt(filling,X1) ),
    inference(equality_resolution,[],[f277]) ).

fof(f277,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | overflow != X0
      | ~ holdsAt(filling,X1) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ( ( ~ holdsAt(waterLevel(n3),X1)
            | overflow != X0
            | ~ holdsAt(filling,X1) )
          & ( n0 != X1
            | tapOn != X0 ) ) )
      & ( ( holdsAt(waterLevel(n3),X1)
          & overflow = X0
          & holdsAt(filling,X1) )
        | ( n0 = X1
          & tapOn = X0 )
        | ~ happens(X0,X1) ) ),
    inference(rectify,[],[f172]) ).

fof(f172,plain,
    ! [X1,X0] :
      ( ( happens(X1,X0)
        | ( ( ~ holdsAt(waterLevel(n3),X0)
            | overflow != X1
            | ~ holdsAt(filling,X0) )
          & ( n0 != X0
            | tapOn != X1 ) ) )
      & ( ( holdsAt(waterLevel(n3),X0)
          & overflow = X1
          & holdsAt(filling,X0) )
        | ( n0 = X0
          & tapOn = X1 )
        | ~ happens(X1,X0) ) ),
    inference(flattening,[],[f171]) ).

fof(f171,plain,
    ! [X1,X0] :
      ( ( happens(X1,X0)
        | ( ( ~ holdsAt(waterLevel(n3),X0)
            | overflow != X1
            | ~ holdsAt(filling,X0) )
          & ( n0 != X0
            | tapOn != X1 ) ) )
      & ( ( holdsAt(waterLevel(n3),X0)
          & overflow = X1
          & holdsAt(filling,X0) )
        | ( n0 = X0
          & tapOn = X1 )
        | ~ happens(X1,X0) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0] :
      ( happens(X1,X0)
    <=> ( ( holdsAt(waterLevel(n3),X0)
          & overflow = X1
          & holdsAt(filling,X0) )
        | ( n0 = X0
          & tapOn = X1 ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X4,X3] :
      ( happens(X3,X4)
    <=> ( ( tapOn = X3
          & n0 = X4 )
        | ( holdsAt(filling,X4)
          & holdsAt(waterLevel(n3),X4)
          & overflow = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : CSR004+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 17:52:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (27471)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)
% 0.19/0.50  % (27463)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  % (27455)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)
% 0.19/0.50  % (27453)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.52  % (27450)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)
% 1.30/0.52  TRYING [3]
% 1.30/0.52  % (27457)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.52  % (27457)Instruction limit reached!
% 1.30/0.52  % (27457)------------------------------
% 1.30/0.52  % (27457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (27457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (27457)Termination reason: Unknown
% 1.30/0.52  % (27457)Termination phase: Unused predicate definition removal
% 1.30/0.52  
% 1.30/0.52  % (27457)Memory used [KB]: 895
% 1.30/0.52  % (27457)Time elapsed: 0.003 s
% 1.30/0.52  % (27457)Instructions burned: 2 (million)
% 1.30/0.52  % (27457)------------------------------
% 1.30/0.52  % (27457)------------------------------
% 1.30/0.52  % (27454)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)
% 1.30/0.52  % (27471)First to succeed.
% 1.30/0.52  % (27456)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.52  % (27452)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)
% 1.30/0.52  % (27456)Instruction limit reached!
% 1.30/0.52  % (27456)------------------------------
% 1.30/0.52  % (27456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (27456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (27456)Termination reason: Unknown
% 1.30/0.52  % (27456)Termination phase: Saturation
% 1.30/0.52  
% 1.30/0.52  % (27456)Memory used [KB]: 5628
% 1.30/0.52  % (27456)Time elapsed: 0.136 s
% 1.30/0.52  % (27456)Instructions burned: 7 (million)
% 1.30/0.52  % (27456)------------------------------
% 1.30/0.52  % (27456)------------------------------
% 1.30/0.53  % (27459)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.53  % (27449)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)
% 1.40/0.53  % (27476)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)
% 1.40/0.53  % (27471)Refutation found. Thanks to Tanya!
% 1.40/0.53  % SZS status Theorem for theBenchmark
% 1.40/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.53  % (27471)------------------------------
% 1.40/0.53  % (27471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (27471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (27471)Termination reason: Refutation
% 1.40/0.53  
% 1.40/0.53  % (27471)Memory used [KB]: 1279
% 1.40/0.53  % (27471)Time elapsed: 0.076 s
% 1.40/0.53  % (27471)Instructions burned: 20 (million)
% 1.40/0.53  % (27471)------------------------------
% 1.40/0.53  % (27471)------------------------------
% 1.40/0.53  % (27446)Success in time 0.182 s
%------------------------------------------------------------------------------