TSTP Solution File: ALG175+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG175+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n021.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 15:43:22 EDT 2022

% Result   : Theorem 1.65s 0.57s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :  172 ( 171 equ)
%            Maximal formula atoms :   50 (  12 avg)
%            Number of connectives :  172 (  14   ~;   0   |; 158   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (  13 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f304,plain,
    $false,
    inference(subsumption_resolution,[],[f303,f218]) ).

fof(f218,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e3 != e4
    & e0 != e4
    & e2 != e3
    & e0 != e3
    & e0 != e1
    & e0 != e2
    & e2 != e4
    & e1 != e3
    & e1 != e2
    & e1 != e4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f303,plain,
    e0 = e1,
    inference(forward_demodulation,[],[f12,f295]) ).

fof(f295,plain,
    e1 = op(op(e3,e1),e3),
    inference(forward_demodulation,[],[f285,f246]) ).

fof(f246,plain,
    e3 = op(op(e3,e1),e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( e3 = op(op(e3,e3),e3)
    & e4 = op(op(e4,e1),e1)
    & e2 = op(e1,op(e1,e2))
    & e3 = op(e2,op(e2,e3))
    & e0 = op(e4,op(e4,e0))
    & e0 = op(e1,op(e1,e0))
    & e0 = op(e0,op(e0,e0))
    & e2 = op(op(e2,e1),e1)
    & e3 = op(op(e3,e4),e4)
    & e4 = op(op(e4,e4),e4)
    & e3 = op(e0,op(e0,e3))
    & e4 = op(op(e4,e0),e0)
    & e1 = op(op(e1,e1),e1)
    & e1 = op(op(e1,e3),e3)
    & e4 = op(e4,op(e4,e4))
    & e2 = op(e0,op(e0,e2))
    & e3 = op(op(e3,e0),e0)
    & e0 = op(e2,op(e2,e0))
    & e3 = op(e4,op(e4,e3))
    & e1 = op(e4,op(e4,e1))
    & e2 = op(op(e2,e0),e0)
    & e2 = op(e3,op(e3,e2))
    & e2 = op(op(e2,e4),e4)
    & e2 = op(op(e2,e2),e2)
    & e0 = op(op(e0,e4),e4)
    & e1 = op(e3,op(e3,e1))
    & e3 = op(op(e3,e1),e1)
    & e4 = op(op(e4,e2),e2)
    & e1 = op(op(e1,e0),e0)
    & e1 = op(e0,op(e0,e1))
    & e4 = op(e0,op(e0,e4))
    & e0 = op(op(e0,e2),e2)
    & e1 = op(e2,op(e2,e1))
    & e1 = op(op(e1,e2),e2)
    & e3 = op(op(e3,e2),e2)
    & e4 = op(e3,op(e3,e4))
    & e0 = op(op(e0,e1),e1)
    & e4 = op(e1,op(e1,e4))
    & e1 = op(op(e1,e4),e4)
    & e0 = op(op(e0,e0),e0)
    & e1 = op(e1,op(e1,e1))
    & e0 = op(e3,op(e3,e0))
    & e4 = op(e2,op(e2,e4))
    & e3 = op(e3,op(e3,e3))
    & e2 = op(e4,op(e4,e2))
    & e2 = op(op(e2,e3),e3)
    & e4 = op(op(e4,e3),e3)
    & e2 = op(e2,op(e2,e2))
    & e3 = op(e1,op(e1,e3))
    & e0 = op(op(e0,e3),e3) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( e3 = op(op(e3,e3),e3)
        & e4 = op(op(e4,e1),e1)
        & e2 = op(e1,op(e1,e2))
        & e3 = op(e2,op(e2,e3))
        & e0 = op(e4,op(e4,e0))
        & e0 = op(e1,op(e1,e0))
        & e0 = op(e0,op(e0,e0))
        & e2 = op(op(e2,e1),e1)
        & e3 = op(op(e3,e4),e4)
        & e4 = op(op(e4,e4),e4)
        & e3 = op(e0,op(e0,e3))
        & e4 = op(op(e4,e0),e0)
        & e1 = op(op(e1,e1),e1)
        & e1 = op(op(e1,e3),e3)
        & e4 = op(e4,op(e4,e4))
        & e2 = op(e0,op(e0,e2))
        & e3 = op(op(e3,e0),e0)
        & e0 = op(e2,op(e2,e0))
        & e3 = op(e4,op(e4,e3))
        & e1 = op(e4,op(e4,e1))
        & e2 = op(op(e2,e0),e0)
        & e2 = op(e3,op(e3,e2))
        & e2 = op(op(e2,e4),e4)
        & e2 = op(op(e2,e2),e2)
        & e0 = op(op(e0,e4),e4)
        & e1 = op(e3,op(e3,e1))
        & e3 = op(op(e3,e1),e1)
        & e4 = op(op(e4,e2),e2)
        & e1 = op(op(e1,e0),e0)
        & e1 = op(e0,op(e0,e1))
        & e4 = op(e0,op(e0,e4))
        & e0 = op(op(e0,e2),e2)
        & e1 = op(e2,op(e2,e1))
        & e1 = op(op(e1,e2),e2)
        & e3 = op(op(e3,e2),e2)
        & e4 = op(e3,op(e3,e4))
        & e0 = op(op(e0,e1),e1)
        & e4 = op(e1,op(e1,e4))
        & e1 = op(op(e1,e4),e4)
        & e0 = op(op(e0,e0),e0)
        & e1 = op(e1,op(e1,e1))
        & e0 = op(e3,op(e3,e0))
        & e4 = op(e2,op(e2,e4))
        & e3 = op(e3,op(e3,e3))
        & e2 = op(e4,op(e4,e2))
        & e2 = op(op(e2,e3),e3)
        & e4 = op(op(e4,e3),e3)
        & e2 = op(e2,op(e2,e2))
        & e3 = op(e1,op(e1,e3))
        & e0 = op(op(e0,e3),e3) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( e3 = op(op(e3,e3),e3)
      & e4 = op(op(e4,e1),e1)
      & e2 = op(e1,op(e1,e2))
      & e3 = op(e2,op(e2,e3))
      & e0 = op(e4,op(e4,e0))
      & e0 = op(e1,op(e1,e0))
      & e0 = op(e0,op(e0,e0))
      & e2 = op(op(e2,e1),e1)
      & e3 = op(op(e3,e4),e4)
      & e4 = op(op(e4,e4),e4)
      & e3 = op(e0,op(e0,e3))
      & e4 = op(op(e4,e0),e0)
      & e1 = op(op(e1,e1),e1)
      & e1 = op(op(e1,e3),e3)
      & e4 = op(e4,op(e4,e4))
      & e2 = op(e0,op(e0,e2))
      & e3 = op(op(e3,e0),e0)
      & e0 = op(e2,op(e2,e0))
      & e3 = op(e4,op(e4,e3))
      & e1 = op(e4,op(e4,e1))
      & e2 = op(op(e2,e0),e0)
      & e2 = op(e3,op(e3,e2))
      & e2 = op(op(e2,e4),e4)
      & e2 = op(op(e2,e2),e2)
      & e0 = op(op(e0,e4),e4)
      & e1 = op(e3,op(e3,e1))
      & e3 = op(op(e3,e1),e1)
      & e4 = op(op(e4,e2),e2)
      & e1 = op(op(e1,e0),e0)
      & e1 = op(e0,op(e0,e1))
      & e4 = op(e0,op(e0,e4))
      & e0 = op(op(e0,e2),e2)
      & e1 = op(e2,op(e2,e1))
      & e1 = op(op(e1,e2),e2)
      & e3 = op(op(e3,e2),e2)
      & e4 = op(e3,op(e3,e4))
      & e0 = op(op(e0,e1),e1)
      & e4 = op(e1,op(e1,e4))
      & e1 = op(op(e1,e4),e4)
      & e0 = op(op(e0,e0),e0)
      & e1 = op(e1,op(e1,e1))
      & e0 = op(e3,op(e3,e0))
      & e4 = op(e2,op(e2,e4))
      & e3 = op(e3,op(e3,e3))
      & e2 = op(e4,op(e4,e2))
      & e2 = op(op(e2,e3),e3)
      & e4 = op(op(e4,e3),e3)
      & e2 = op(e2,op(e2,e2))
      & e3 = op(e1,op(e1,e3))
      & e0 = op(op(e0,e3),e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f285,plain,
    e1 = op(op(e3,e1),op(op(e3,e1),e1)),
    inference(backward_demodulation,[],[f253,f11]) ).

fof(f11,plain,
    e4 = op(e3,e1),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e0 = op(op(e3,e1),e3)
    & e4 = op(e3,e1)
    & e2 = op(e3,op(op(e3,e1),e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f253,plain,
    e1 = op(e4,op(e4,e1)),
    inference(cnf_transformation,[],[f9]) ).

fof(f12,plain,
    e0 = op(op(e3,e1),e3),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG175+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.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   : Mon Aug 29 14:53:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.52  % (26789)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)
% 0.19/0.53  % (26790)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  % (26797)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (26800)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)
% 0.19/0.53  % (26794)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  % (26793)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  % (26798)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  % (26805)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)
% 0.19/0.53  % (26797)Instruction limit reached!
% 0.19/0.53  % (26797)------------------------------
% 0.19/0.53  % (26797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26797)Termination reason: Unknown
% 0.19/0.53  % (26797)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (26797)Memory used [KB]: 1023
% 0.19/0.53  % (26797)Time elapsed: 0.004 s
% 0.19/0.53  % (26797)Instructions burned: 3 (million)
% 0.19/0.53  % (26797)------------------------------
% 0.19/0.53  % (26797)------------------------------
% 0.19/0.54  % (26799)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (26801)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  % (26810)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  % (26812)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)
% 0.19/0.54  % (26817)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (26802)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (26795)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)
% 0.19/0.54  % (26806)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55  % (26796)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (26815)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)
% 1.52/0.55  % (26796)Instruction limit reached!
% 1.52/0.55  % (26796)------------------------------
% 1.52/0.55  % (26796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55  % (26796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55  % (26796)Termination reason: Unknown
% 1.52/0.55  % (26796)Termination phase: Saturation
% 1.52/0.55  
% 1.52/0.55  % (26796)Memory used [KB]: 5500
% 1.52/0.55  % (26796)Time elapsed: 0.004 s
% 1.52/0.55  % (26796)Instructions burned: 7 (million)
% 1.52/0.55  % (26796)------------------------------
% 1.52/0.55  % (26796)------------------------------
% 1.52/0.55  % (26818)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)
% 1.52/0.55  % (26816)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)
% 1.52/0.55  % (26792)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)
% 1.52/0.55  % (26803)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)
% 1.52/0.55  % (26811)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)
% 1.52/0.55  % (26809)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)
% 1.52/0.56  % (26811)First to succeed.
% 1.52/0.56  % (26804)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)
% 1.52/0.56  % (26808)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)
% 1.52/0.56  % (26791)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)
% 1.52/0.56  % (26814)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.56  % (26813)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.56  % (26807)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.65/0.57  % (26798)Also succeeded, but the first one will report.
% 1.65/0.57  % (26811)Refutation found. Thanks to Tanya!
% 1.65/0.57  % SZS status Theorem for theBenchmark
% 1.65/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.57  % (26811)------------------------------
% 1.65/0.57  % (26811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57  % (26811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57  % (26811)Termination reason: Refutation
% 1.65/0.57  
% 1.65/0.57  % (26811)Memory used [KB]: 1151
% 1.65/0.57  % (26811)Time elapsed: 0.108 s
% 1.65/0.57  % (26811)Instructions burned: 16 (million)
% 1.65/0.57  % (26811)------------------------------
% 1.65/0.57  % (26811)------------------------------
% 1.65/0.57  % (26787)Success in time 0.226 s
%------------------------------------------------------------------------------