TSTP Solution File: NUM304+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM304+1 : TPTP v8.1.0. Released 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 18:03:59 EDT 2022

% Result   : Theorem 1.52s 0.56s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   34 (  15 unt;   0 def)
%            Number of atoms       :   75 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   79 (  38   ~;  25   |;  10   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   65 (  63   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f996,plain,
    $false,
    inference(subsumption_resolution,[],[f905,f995]) ).

fof(f995,plain,
    ! [X0,X1] : less(X1,X0),
    inference(subsumption_resolution,[],[f994,f993]) ).

fof(f993,plain,
    ! [X1] : sP19(X1),
    inference(subsumption_resolution,[],[f944,f959]) ).

fof(f959,plain,
    ! [X0,X1] : rdn_translate(X0,X1),
    inference(superposition,[],[f958,f946]) ).

fof(f946,plain,
    ! [X0,X1] : X0 = X1,
    inference(superposition,[],[f733,f733]) ).

fof(f733,plain,
    ! [X0] : n12 = X0,
    inference(cnf_transformation,[],[f442]) ).

fof(f442,plain,
    ! [X0] : n12 = X0,
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : n12 != X0,
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : n12 != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_not_n12) ).

fof(f958,plain,
    ! [X0] : rdn_translate(n7,X0),
    inference(superposition,[],[f953,f733]) ).

fof(f953,plain,
    rdn_translate(n7,n12),
    inference(forward_demodulation,[],[f517,f733]) ).

fof(f517,plain,
    rdn_translate(n7,rdn_pos(rdnn(n7))),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    rdn_translate(n7,rdn_pos(rdnn(n7))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn7) ).

fof(f944,plain,
    ! [X3,X1] :
      ( ~ rdn_translate(X1,rdn_neg(X3))
      | sP19(X1) ),
    inference(cnf_transformation,[],[f944_D]) ).

fof(f944_D,plain,
    ! [X1] :
      ( ! [X3] : ~ rdn_translate(X1,rdn_neg(X3))
    <=> ~ sP19(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f994,plain,
    ! [X0,X1] :
      ( ~ sP19(X1)
      | less(X1,X0) ),
    inference(subsumption_resolution,[],[f945,f992]) ).

fof(f992,plain,
    ! [X0] : sP18(X0),
    inference(subsumption_resolution,[],[f942,f959]) ).

fof(f942,plain,
    ! [X2,X0] :
      ( ~ rdn_translate(X0,rdn_pos(X2))
      | sP18(X0) ),
    inference(cnf_transformation,[],[f942_D]) ).

fof(f942_D,plain,
    ! [X0] :
      ( ! [X2] : ~ rdn_translate(X0,rdn_pos(X2))
    <=> ~ sP18(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f945,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ sP18(X0)
      | ~ sP19(X1) ),
    inference(general_splitting,[],[f943,f944_D]) ).

fof(f943,plain,
    ! [X3,X0,X1] :
      ( ~ rdn_translate(X1,rdn_neg(X3))
      | less(X1,X0)
      | ~ sP18(X0) ),
    inference(general_splitting,[],[f839,f942_D]) ).

fof(f839,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_neg(X3))
      | less(X1,X0) ),
    inference(cnf_transformation,[],[f497]) ).

fof(f497,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_neg(X3))
      | less(X1,X0) ),
    inference(rectify,[],[f464]) ).

fof(f464,plain,
    ! [X3,X0,X1,X2] :
      ( ~ rdn_translate(X3,rdn_pos(X1))
      | ~ rdn_translate(X0,rdn_neg(X2))
      | less(X0,X3) ),
    inference(flattening,[],[f463]) ).

fof(f463,plain,
    ! [X2,X3,X1,X0] :
      ( less(X0,X3)
      | ~ rdn_translate(X0,rdn_neg(X2))
      | ~ rdn_translate(X3,rdn_pos(X1)) ),
    inference(ennf_transformation,[],[f415]) ).

fof(f415,plain,
    ! [X2,X3,X1,X0] :
      ( ( rdn_translate(X0,rdn_neg(X2))
        & rdn_translate(X3,rdn_pos(X1)) )
     => less(X0,X3) ),
    inference(rectify,[],[f282]) ).

fof(f282,axiom,
    ! [X0,X10,X9,X1] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).

fof(f905,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f809]) ).

fof(f809,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f492]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) )
      & ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) ) ),
    inference(rectify,[],[f491]) ).

fof(f491,plain,
    ! [X1,X0] :
      ( ( ( X0 != X1
          & ~ less(X0,X1) )
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | X0 = X1
        | less(X0,X1) ) ),
    inference(flattening,[],[f490]) ).

fof(f490,plain,
    ! [X1,X0] :
      ( ( ( X0 != X1
          & ~ less(X0,X1) )
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | X0 = X1
        | less(X0,X1) ) ),
    inference(nnf_transformation,[],[f417]) ).

fof(f417,plain,
    ! [X1,X0] :
      ( ( X0 != X1
        & ~ less(X0,X1) )
    <=> less(X1,X0) ),
    inference(rectify,[],[f284]) ).

fof(f284,axiom,
    ! [X1,X0] :
      ( ( ~ less(X1,X0)
        & X0 != X1 )
    <=> less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM304+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % 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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 06:35:46 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.52  % (10929)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)
% 0.19/0.52  % (10952)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)
% 0.19/0.52  % (10944)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53  % (10938)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)
% 0.19/0.53  % (10931)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)
% 0.19/0.53  % (10948)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)
% 0.19/0.53  % (10932)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)
% 0.19/0.53  % (10935)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)
% 0.19/0.53  % (10933)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (10930)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)
% 0.19/0.53  % (10953)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (10956)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)
% 0.19/0.53  % (10939)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (10936)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (10934)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)
% 0.19/0.53  % (10946)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (10951)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)
% 0.19/0.54  % (10949)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54  % (10950)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (10941)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (10947)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (10958)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54  % (10954)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (10936)Instruction limit reached!
% 0.19/0.54  % (10936)------------------------------
% 0.19/0.54  % (10936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (10936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (10936)Termination reason: Unknown
% 0.19/0.54  % (10936)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (10936)Memory used [KB]: 1279
% 0.19/0.54  % (10936)Time elapsed: 0.007 s
% 0.19/0.54  % (10936)Instructions burned: 8 (million)
% 0.19/0.54  % (10936)------------------------------
% 0.19/0.54  % (10936)------------------------------
% 0.19/0.54  % (10937)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (10945)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (10943)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)
% 0.19/0.55  % (10942)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (10937)Instruction limit reached!
% 0.19/0.55  % (10937)------------------------------
% 0.19/0.55  % (10937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (10937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (10937)Termination reason: Unknown
% 0.19/0.55  % (10937)Termination phase: Preprocessing 3
% 0.19/0.55  
% 0.19/0.55  % (10937)Memory used [KB]: 1279
% 0.19/0.55  % (10937)Time elapsed: 0.004 s
% 0.19/0.55  % (10937)Instructions burned: 3 (million)
% 0.19/0.55  % (10937)------------------------------
% 0.19/0.55  % (10937)------------------------------
% 0.19/0.55  % (10955)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)
% 0.19/0.55  % (10940)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)
% 1.52/0.56  % (10957)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.52/0.56  % (10934)First to succeed.
% 1.52/0.56  % (10934)Refutation found. Thanks to Tanya!
% 1.52/0.56  % SZS status Theorem for theBenchmark
% 1.52/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56  % (10934)------------------------------
% 1.52/0.56  % (10934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56  % (10934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56  % (10934)Termination reason: Refutation
% 1.52/0.56  
% 1.52/0.56  % (10934)Memory used [KB]: 5884
% 1.52/0.56  % (10934)Time elapsed: 0.144 s
% 1.52/0.56  % (10934)Instructions burned: 18 (million)
% 1.52/0.56  % (10934)------------------------------
% 1.52/0.56  % (10934)------------------------------
% 1.52/0.56  % (10922)Success in time 0.206 s
%------------------------------------------------------------------------------