TSTP Solution File: GRP148-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP148-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 16:20:35 EDT 2022

% Result   : Unsatisfiable 1.40s 0.56s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f488,plain,
    $false,
    inference(subsumption_resolution,[],[f487,f21]) ).

fof(f21,plain,
    sF1 != sF0,
    inference(definition_folding,[],[f18,f20,f19,f19]) ).

fof(f19,plain,
    least_upper_bound(a,b) = sF0,
    introduced(function_definition,[]) ).

fof(f20,plain,
    sF1 = greatest_lower_bound(sF0,c),
    introduced(function_definition,[]) ).

fof(f18,axiom,
    least_upper_bound(a,b) != greatest_lower_bound(least_upper_bound(a,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_lub1c) ).

fof(f487,plain,
    sF1 = sF0,
    inference(backward_demodulation,[],[f20,f484]) ).

fof(f484,plain,
    sF0 = greatest_lower_bound(sF0,c),
    inference(superposition,[],[f11,f471]) ).

fof(f471,plain,
    c = least_upper_bound(sF0,c),
    inference(forward_demodulation,[],[f464,f16]) ).

fof(f16,axiom,
    c = least_upper_bound(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_lub1c_1) ).

fof(f464,plain,
    least_upper_bound(a,c) = least_upper_bound(sF0,c),
    inference(superposition,[],[f100,f17]) ).

fof(f17,axiom,
    c = least_upper_bound(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_lub1c_2) ).

fof(f100,plain,
    ! [X20] : least_upper_bound(sF0,X20) = least_upper_bound(a,least_upper_bound(b,X20)),
    inference(superposition,[],[f7,f19]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_lub) ).

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP148-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:38:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (17856)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)
% 0.19/0.51  % (17865)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)
% 1.27/0.51  % (17849)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.27/0.52  % (17849)Instruction limit reached!
% 1.27/0.52  % (17849)------------------------------
% 1.27/0.52  % (17849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.52  % (17848)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)
% 1.27/0.52  TRYING [1]
% 1.27/0.52  TRYING [2]
% 1.27/0.52  % (17857)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)
% 1.27/0.52  TRYING [3]
% 1.27/0.53  % (17842)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  % (17849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (17849)Termination reason: Unknown
% 1.40/0.53  % (17849)Termination phase: Saturation
% 1.40/0.53  
% 1.40/0.53  % (17849)Memory used [KB]: 5500
% 1.40/0.53  % (17849)Time elapsed: 0.106 s
% 1.40/0.53  % (17849)Instructions burned: 8 (million)
% 1.40/0.53  % (17849)------------------------------
% 1.40/0.53  % (17849)------------------------------
% 1.40/0.53  % (17858)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)
% 1.40/0.53  % (17850)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.53  % (17850)Instruction limit reached!
% 1.40/0.53  % (17850)------------------------------
% 1.40/0.53  % (17850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  TRYING [1]
% 1.40/0.53  % (17850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (17850)Termination reason: Unknown
% 1.40/0.53  % (17850)Termination phase: Saturation
% 1.40/0.53  
% 1.40/0.53  % (17850)Memory used [KB]: 5373
% 1.40/0.53  % (17850)Time elapsed: 0.139 s
% 1.40/0.53  % (17850)Instructions burned: 2 (million)
% 1.40/0.53  % (17850)------------------------------
% 1.40/0.53  % (17850)------------------------------
% 1.40/0.54  % (17859)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.54  TRYING [2]
% 1.40/0.54  TRYING [3]
% 1.40/0.54  % (17864)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)
% 1.40/0.54  % (17851)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)
% 1.40/0.55  % (17846)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.55  % (17844)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)
% 1.40/0.55  % (17847)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)
% 1.40/0.55  % (17843)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)
% 1.40/0.55  % (17862)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)
% 1.40/0.55  % (17860)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.55  % (17863)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.56  % (17867)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.56  % (17853)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)
% 1.40/0.56  % (17870)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.56  TRYING [1]
% 1.40/0.56  % (17871)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)
% 1.40/0.56  % (17868)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)
% 1.40/0.56  TRYING [2]
% 1.40/0.56  % (17866)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.56  TRYING [3]
% 1.40/0.56  % (17857)First to succeed.
% 1.40/0.56  % (17861)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)
% 1.40/0.56  % (17857)Refutation found. Thanks to Tanya!
% 1.40/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.40/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.56  % (17857)------------------------------
% 1.40/0.56  % (17857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56  % (17857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56  % (17857)Termination reason: Refutation
% 1.40/0.56  
% 1.40/0.56  % (17857)Memory used [KB]: 1535
% 1.40/0.56  % (17857)Time elapsed: 0.138 s
% 1.40/0.56  % (17857)Instructions burned: 28 (million)
% 1.40/0.56  % (17857)------------------------------
% 1.40/0.56  % (17857)------------------------------
% 1.40/0.56  % (17841)Success in time 0.213 s
%------------------------------------------------------------------------------