TSTP Solution File: GRP012-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP012-1 : 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 : n016.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 16:18:55 EDT 2022

% Result   : Unsatisfiable 1.51s 0.56s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100,plain,
    $false,
    inference(subsumption_resolution,[],[f99,f11]) ).

fof(f11,axiom,
    ~ product(c,d,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_multiply_d_is_identity) ).

fof(f99,plain,
    product(c,d,identity),
    inference(resolution,[],[f65,f44]) ).

fof(f44,plain,
    product(c,inverse(b),a),
    inference(resolution,[],[f33,f2]) ).

fof(f2,axiom,
    ! [X0] : product(X0,identity,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).

fof(f33,plain,
    ! [X1] :
      ( ~ product(a,identity,X1)
      | product(c,inverse(b),X1) ),
    inference(resolution,[],[f25,f4]) ).

fof(f4,axiom,
    ! [X0] : product(X0,inverse(X0),identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).

fof(f25,plain,
    ! [X26,X24,X25] :
      ( ~ product(b,X24,X25)
      | ~ product(a,X25,X26)
      | product(c,X24,X26) ),
    inference(resolution,[],[f8,f9]) ).

fof(f9,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_multiply_b_is_c) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X1,X2,X5)
      | ~ product(X0,X5,X3)
      | product(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).

fof(f65,plain,
    ! [X7] :
      ( ~ product(X7,inverse(b),a)
      | product(X7,d,identity) ),
    inference(resolution,[],[f13,f10]) ).

fof(f10,axiom,
    product(inverse(b),inverse(a),d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_b_multiply_inverse_a_is_d) ).

fof(f13,plain,
    ! [X6,X7,X4,X5] :
      ( ~ product(X6,inverse(X7),X5)
      | ~ product(X4,X6,X7)
      | product(X4,X5,identity) ),
    inference(resolution,[],[f7,f4]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X2,X3)
      | product(X0,X5,X3)
      | ~ product(X0,X1,X4)
      | ~ product(X1,X2,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP012-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n016.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 22:29:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (4037)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)
% 0.20/0.51  % (4053)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  % (4045)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (4040)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (4040)Instruction limit reached!
% 0.20/0.52  % (4040)------------------------------
% 0.20/0.52  % (4040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (4040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (4040)Termination reason: Unknown
% 0.20/0.52  % (4040)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (4040)Memory used [KB]: 5373
% 0.20/0.52  % (4040)Time elapsed: 0.122 s
% 0.20/0.52  % (4040)Instructions burned: 2 (million)
% 0.20/0.52  % (4040)------------------------------
% 0.20/0.52  % (4040)------------------------------
% 0.20/0.52  % (4055)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)
% 0.20/0.52  % (4051)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  % (4035)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  % (4041)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)
% 1.32/0.52  % (4039)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.53  % (4032)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)
% 1.32/0.53  TRYING [1]
% 1.32/0.53  % (4047)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)
% 1.32/0.53  TRYING [2]
% 1.32/0.53  % (4038)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)
% 1.32/0.53  TRYING [1]
% 1.32/0.53  TRYING [2]
% 1.32/0.53  % (4060)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.53  TRYING [3]
% 1.32/0.53  % (4050)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.53  TRYING [3]
% 1.32/0.53  TRYING [4]
% 1.32/0.53  % (4043)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)
% 1.32/0.53  % (4036)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  % (4034)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)
% 1.32/0.54  % (4049)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.54  % (4061)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)
% 1.32/0.54  % (4048)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)
% 1.32/0.54  TRYING [1]
% 1.32/0.54  TRYING [2]
% 1.32/0.54  TRYING [4]
% 1.32/0.54  TRYING [3]
% 1.32/0.54  % (4058)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)
% 1.51/0.54  % (4056)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.51/0.54  % (4033)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)
% 1.51/0.54  % (4033)Refutation not found, incomplete strategy% (4033)------------------------------
% 1.51/0.54  % (4033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54  % (4033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54  % (4033)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54  
% 1.51/0.54  % (4033)Memory used [KB]: 5373
% 1.51/0.54  % (4033)Time elapsed: 0.147 s
% 1.51/0.54  % (4033)Instructions burned: 3 (million)
% 1.51/0.54  % (4033)------------------------------
% 1.51/0.54  % (4033)------------------------------
% 1.51/0.54  TRYING [4]
% 1.51/0.55  % (4046)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)
% 1.51/0.55  % (4042)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.55  % (4039)Instruction limit reached!
% 1.51/0.55  % (4039)------------------------------
% 1.51/0.55  % (4039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55  % (4039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55  % (4044)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.55  % (4039)Termination reason: Unknown
% 1.51/0.55  % (4039)Termination phase: Saturation
% 1.51/0.55  
% 1.51/0.55  % (4039)Memory used [KB]: 5500
% 1.51/0.55  % (4039)Time elapsed: 0.094 s
% 1.51/0.55  % (4039)Instructions burned: 7 (million)
% 1.51/0.55  % (4039)------------------------------
% 1.51/0.55  % (4039)------------------------------
% 1.51/0.55  % (4054)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)
% 1.51/0.55  % (4057)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.55  % (4036)First to succeed.
% 1.51/0.55  % (4059)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)
% 1.51/0.56  % (4036)Refutation found. Thanks to Tanya!
% 1.51/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.56  % (4036)------------------------------
% 1.51/0.56  % (4036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56  % (4036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56  % (4036)Termination reason: Refutation
% 1.51/0.56  
% 1.51/0.56  % (4036)Memory used [KB]: 5500
% 1.51/0.56  % (4036)Time elapsed: 0.136 s
% 1.51/0.56  % (4036)Instructions burned: 7 (million)
% 1.51/0.56  % (4036)------------------------------
% 1.51/0.56  % (4036)------------------------------
% 1.51/0.56  % (4031)Success in time 0.203 s
%------------------------------------------------------------------------------