TSTP Solution File: HEN005-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HEN005-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n001.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 16:24:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  16 unt;   0 def)
%            Number of atoms       :   29 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f146,plain,
    $false,
    inference(subsumption_resolution,[],[f144,f10]) ).

fof(f10,axiom,
    ~ less_equal(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_LE_c) ).

fof(f144,plain,
    less_equal(a,c),
    inference(trivial_inequality_removal,[],[f137]) ).

fof(f137,plain,
    ( less_equal(a,c)
    | zero != zero ),
    inference(superposition,[],[f2,f129]) ).

fof(f129,plain,
    zero = divide(a,c),
    inference(resolution,[],[f126,f30]) ).

fof(f30,plain,
    ! [X3] :
      ( ~ less_equal(X3,zero)
      | zero = X3 ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).

fof(f126,plain,
    less_equal(divide(a,c),zero),
    inference(trivial_inequality_removal,[],[f119]) ).

fof(f119,plain,
    ( zero != zero
    | less_equal(divide(a,c),zero) ),
    inference(superposition,[],[f2,f113]) ).

fof(f113,plain,
    zero = divide(divide(a,c),zero),
    inference(resolution,[],[f107,f30]) ).

fof(f107,plain,
    less_equal(divide(divide(a,c),zero),zero),
    inference(superposition,[],[f93,f15]) ).

fof(f15,plain,
    zero = divide(b,c),
    inference(resolution,[],[f1,f9]) ).

fof(f9,axiom,
    less_equal(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_LE_c) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | divide(X0,X1) = zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).

fof(f93,plain,
    ! [X7] : less_equal(divide(divide(a,X7),divide(b,X7)),zero),
    inference(forward_demodulation,[],[f84,f13]) ).

fof(f13,plain,
    ! [X3] : zero = divide(zero,X3),
    inference(resolution,[],[f1,f5]) ).

fof(f84,plain,
    ! [X7] : less_equal(divide(divide(a,X7),divide(b,X7)),divide(zero,X7)),
    inference(superposition,[],[f4,f14]) ).

fof(f14,plain,
    zero = divide(a,b),
    inference(resolution,[],[f1,f8]) ).

fof(f8,axiom,
    less_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).

fof(f4,axiom,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : HEN005-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 23:18:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (31872)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)
% 0.20/0.49  % (31878)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)
% 0.20/0.49  % (31864)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)
% 0.20/0.50  % (31856)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)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (31854)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (31869)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)
% 0.20/0.50  % (31862)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  TRYING [3]
% 0.20/0.50  % (31851)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)
% 0.20/0.50  % (31851)Refutation not found, incomplete strategy% (31851)------------------------------
% 0.20/0.50  % (31851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (31851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (31851)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (31851)Memory used [KB]: 5373
% 0.20/0.50  % (31851)Time elapsed: 0.108 s
% 0.20/0.50  % (31851)Instructions burned: 1 (million)
% 0.20/0.50  % (31851)------------------------------
% 0.20/0.50  % (31851)------------------------------
% 0.20/0.50  % (31854)First to succeed.
% 0.20/0.50  TRYING [4]
% 0.20/0.51  % (31852)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)
% 0.20/0.52  % (31861)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)
% 0.20/0.52  % (31879)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (31877)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)
% 0.20/0.52  % (31855)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)
% 0.20/0.52  % (31866)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)
% 0.20/0.52  % (31880)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)
% 0.20/0.52  % (31876)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (31871)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  % (31862)Also succeeded, but the first one will report.
% 0.20/0.52  % (31854)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (31854)------------------------------
% 0.20/0.52  % (31854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (31854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (31854)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (31854)Memory used [KB]: 5500
% 0.20/0.52  % (31854)Time elapsed: 0.113 s
% 0.20/0.52  % (31854)Instructions burned: 4 (million)
% 0.20/0.52  % (31854)------------------------------
% 0.20/0.52  % (31854)------------------------------
% 0.20/0.52  % (31849)Success in time 0.181 s
%------------------------------------------------------------------------------