TSTP Solution File: GRP003-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP003-2 : 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 : n023.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 16:18:53 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f82,plain,
    $false,
    inference(resolution,[],[f69,f8]) ).

fof(f8,axiom,
    ~ product(a,identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_identity) ).

fof(f69,plain,
    ! [X3] : product(X3,identity,X3),
    inference(resolution,[],[f36,f22]) ).

fof(f22,plain,
    ! [X1] : product(inverse(inverse(X1)),identity,X1),
    inference(resolution,[],[f14,f2]) ).

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

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X2,X1)
      | product(inverse(X0),X1,X2) ),
    inference(resolution,[],[f2,f9]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X0,identity)
      | product(X3,X2,X1)
      | ~ product(X0,X1,X2) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X2,X3)
      | ~ product(X1,X2,X5)
      | product(X0,X5,X3)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).

fof(f36,plain,
    ! [X3,X4,X5] :
      ( ~ product(inverse(inverse(X3)),X4,X5)
      | product(X3,X4,X5) ),
    inference(resolution,[],[f22,f10]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,identity,X3)
      | product(X3,X1,X2)
      | ~ product(X0,X1,X2) ),
    inference(resolution,[],[f6,f1]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | ~ product(X0,X5,X3)
      | product(X4,X2,X3)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % 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 : n023.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
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:28:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  % (8928)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)
% 0.20/0.47  % (8953)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)
% 0.20/0.48  % (8946)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)
% 0.20/0.48  % (8933)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (8955)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)
% 0.20/0.49  % (8933)Instruction limit reached!
% 0.20/0.49  % (8933)------------------------------
% 0.20/0.49  % (8933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (8948)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  % (8941)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)
% 0.20/0.49  % (8940)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)
% 0.20/0.49  % (8933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (8933)Termination reason: Unknown
% 0.20/0.49  % (8933)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (8933)Memory used [KB]: 5373
% 0.20/0.49  % (8933)Time elapsed: 0.097 s
% 0.20/0.49  % (8933)Instructions burned: 7 (million)
% 0.20/0.49  % (8933)------------------------------
% 0.20/0.49  % (8933)------------------------------
% 0.20/0.50  % (8932)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)
% 0.20/0.51  % (8938)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  % (8945)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)
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [3]
% 0.20/0.51  TRYING [4]
% 0.20/0.51  % (8929)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  % (8930)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (8936)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (8931)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  % (8927)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)
% 0.20/0.52  % (8927)Refutation not found, incomplete strategy% (8927)------------------------------
% 0.20/0.52  % (8927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8927)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (8927)Memory used [KB]: 5373
% 0.20/0.52  % (8927)Time elapsed: 0.127 s
% 0.20/0.52  % (8927)Instructions burned: 2 (million)
% 0.20/0.52  % (8927)------------------------------
% 0.20/0.52  % (8927)------------------------------
% 0.20/0.52  % (8952)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  % (8934)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  % (8935)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)
% 0.20/0.52  % (8934)Instruction limit reached!
% 0.20/0.52  % (8934)------------------------------
% 0.20/0.52  % (8934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8934)Termination reason: Unknown
% 0.20/0.52  % (8934)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8934)Memory used [KB]: 5373
% 0.20/0.52  % (8934)Time elapsed: 0.138 s
% 0.20/0.52  % (8934)Instructions burned: 3 (million)
% 0.20/0.52  % (8934)------------------------------
% 0.20/0.52  % (8934)------------------------------
% 0.20/0.53  % (8954)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (8947)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (8937)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)
% 0.20/0.53  % (8949)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)
% 0.20/0.53  % (8928)Instruction limit reached!
% 0.20/0.53  % (8928)------------------------------
% 0.20/0.53  % (8928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8928)Termination reason: Unknown
% 0.20/0.53  % (8928)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8928)Memory used [KB]: 1151
% 0.20/0.53  % (8928)Time elapsed: 0.155 s
% 0.20/0.53  % (8928)Instructions burned: 37 (million)
% 0.20/0.53  % (8928)------------------------------
% 0.20/0.53  % (8928)------------------------------
% 0.20/0.53  % (8944)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  TRYING [5]
% 0.20/0.53  % (8950)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (8942)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)
% 0.20/0.53  % (8951)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (8939)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (8949)First to succeed.
% 0.20/0.54  % (8932)Instruction limit reached!
% 0.20/0.54  % (8932)------------------------------
% 0.20/0.54  % (8932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8932)Termination reason: Unknown
% 0.20/0.54  % (8932)Termination phase: Finite model building constraint generation
% 0.20/0.54  
% 0.20/0.54  % (8932)Memory used [KB]: 7803
% 0.20/0.54  % (8932)Time elapsed: 0.093 s
% 0.20/0.54  % (8932)Instructions burned: 51 (million)
% 0.20/0.54  % (8932)------------------------------
% 0.20/0.54  % (8932)------------------------------
% 0.20/0.54  % (8926)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (8943)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (8949)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (8949)------------------------------
% 0.20/0.54  % (8949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8949)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (8949)Memory used [KB]: 5373
% 0.20/0.54  % (8949)Time elapsed: 0.154 s
% 0.20/0.54  % (8949)Instructions burned: 5 (million)
% 0.20/0.54  % (8949)------------------------------
% 0.20/0.54  % (8949)------------------------------
% 0.20/0.54  % (8924)Success in time 0.193 s
%------------------------------------------------------------------------------