TSTP Solution File: SWW962+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW962+1 : TPTP v8.1.0. Released v7.4.0.
% 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 : n028.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 19:25:06 EDT 2022

% Result   : Theorem 1.37s 0.54s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  22 unt;   0 def)
%            Number of atoms       :   36 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  12   ~;   4   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   41 (  39   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f723,plain,
    $false,
    inference(resolution,[],[f649,f551]) ).

fof(f551,plain,
    ~ pred_attacker(sF2),
    inference(definition_folding,[],[f484,f550,f549]) ).

fof(f549,plain,
    name_Nb(sK0) = sF1,
    introduced(function_definition,[]) ).

fof(f550,plain,
    sF2 = tuple_2(sF1,name_objective),
    introduced(function_definition,[]) ).

fof(f484,plain,
    ~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
    inference(cnf_transformation,[],[f368]) ).

fof(f368,plain,
    ~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f328,f367]) ).

fof(f367,plain,
    ( ? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective))
   => ~ pred_attacker(tuple_2(name_Nb(sK0),name_objective)) ),
    introduced(choice_axiom,[]) ).

fof(f328,plain,
    ? [X0] : ~ pred_attacker(tuple_2(name_Nb(X0),name_objective)),
    inference(ennf_transformation,[],[f204]) ).

fof(f204,plain,
    ~ ! [X0] : pred_attacker(tuple_2(name_Nb(X0),name_objective)),
    inference(rectify,[],[f178]) ).

fof(f178,negated_conjecture,
    ~ ! [X130] : pred_attacker(tuple_2(name_Nb(X130),name_objective)),
    inference(negated_conjecture,[],[f177]) ).

fof(f177,conjecture,
    ! [X130] : pred_attacker(tuple_2(name_Nb(X130),name_objective)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(f649,plain,
    ! [X3] : pred_attacker(X3),
    inference(resolution,[],[f629,f395]) ).

fof(f395,plain,
    pred_attacker(constr_CONST_3),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,axiom,
    pred_attacker(constr_CONST_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).

fof(f629,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X0)
      | pred_attacker(X1) ),
    inference(backward_demodulation,[],[f443,f624]) ).

fof(f624,plain,
    ! [X3,X4] : tuple_assoc_pair(X3,X4) = X3,
    inference(forward_demodulation,[],[f618,f405]) ).

fof(f405,plain,
    ! [X0,X1] : constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(X1,X0)) = X1,
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0,X1] : constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(X1,X0)) = X1,
    inference(rectify,[],[f85]) ).

fof(f85,axiom,
    ! [X14,X13] : constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(X13,X14)) = X13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f618,plain,
    ! [X3,X4,X5] : constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(X3,tuple_assoc_pair(X4,X5))) = tuple_assoc_pair(X3,X4),
    inference(superposition,[],[f405,f384]) ).

fof(f384,plain,
    ! [X2,X0,X1] : tuple_assoc_pair(tuple_assoc_pair(X1,X2),X0) = tuple_assoc_pair(X1,tuple_assoc_pair(X2,X0)),
    inference(cnf_transformation,[],[f350]) ).

fof(f350,plain,
    ! [X0,X1,X2] : tuple_assoc_pair(tuple_assoc_pair(X1,X2),X0) = tuple_assoc_pair(X1,tuple_assoc_pair(X2,X0)),
    inference(rectify,[],[f191]) ).

fof(f191,plain,
    ! [X2,X1,X0] : tuple_assoc_pair(tuple_assoc_pair(X1,X0),X2) = tuple_assoc_pair(X1,tuple_assoc_pair(X0,X2)),
    inference(rectify,[],[f83]) ).

fof(f83,axiom,
    ! [X9,X8,X10] : tuple_assoc_pair(X8,tuple_assoc_pair(X9,X10)) = tuple_assoc_pair(tuple_assoc_pair(X8,X9),X10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f443,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_assoc_pair(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f361]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_assoc_pair(X0,X1))
      | pred_attacker(X1) ),
    inference(rectify,[],[f304]) ).

fof(f304,plain,
    ! [X1,X0] :
      ( ~ pred_attacker(tuple_assoc_pair(X1,X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f257]) ).

fof(f257,plain,
    ! [X1,X0] :
      ( pred_attacker(tuple_assoc_pair(X1,X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f145]) ).

fof(f145,axiom,
    ! [X96,X95] :
      ( pred_attacker(tuple_assoc_pair(X95,X96))
     => pred_attacker(X96) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWW962+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.14  % 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 : n028.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 21:27:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (1951)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)
% 0.20/0.50  % (1933)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)
% 0.20/0.51  % (1946)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)
% 0.20/0.51  % (1938)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)
% 0.20/0.51  % (1930)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)
% 0.20/0.52  % (1943)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)
% 0.20/0.52  % (1927)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)
% 0.20/0.52  % (1937)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (1951)First to succeed.
% 1.37/0.54  % (1926)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)
% 1.37/0.54  % (1948)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.37/0.54  % (1929)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)
% 1.37/0.54  % (1949)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.37/0.54  % (1928)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54  % (1925)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)
% 1.37/0.54  % (1936)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.37/0.54  % (1946)Also succeeded, but the first one will report.
% 1.37/0.54  % (1924)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)
% 1.37/0.54  % (1951)Refutation found. Thanks to Tanya!
% 1.37/0.54  % SZS status Theorem for theBenchmark
% 1.37/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.54  % (1951)------------------------------
% 1.37/0.54  % (1951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (1951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (1951)Termination reason: Refutation
% 1.37/0.54  
% 1.37/0.54  % (1951)Memory used [KB]: 1407
% 1.37/0.54  % (1951)Time elapsed: 0.120 s
% 1.37/0.54  % (1951)Instructions burned: 14 (million)
% 1.37/0.54  % (1951)------------------------------
% 1.37/0.54  % (1951)------------------------------
% 1.37/0.54  % (1922)Success in time 0.185 s
%------------------------------------------------------------------------------