TSTP Solution File: GRP029-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP029-2 : 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 : 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 16:19:10 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            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;   1 con; 0-1 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f317,plain,
    $false,
    inference(resolution,[],[f273,f16]) ).

fof(f16,axiom,
    ! [X6] : ~ product(not_right_identity(X6),X6,not_right_identity(X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

fof(f273,plain,
    ! [X0] : product(X0,identity,X0),
    inference(resolution,[],[f187,f14]) ).

fof(f14,axiom,
    ! [X6] : product(identity,X6,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f187,plain,
    ! [X8,X9] :
      ( ~ product(identity,X9,identity)
      | product(X8,X9,X8) ),
    inference(resolution,[],[f59,f33]) ).

fof(f33,plain,
    ! [X1] : product(inverse(inverse(X1)),identity,X1),
    inference(resolution,[],[f27,f15]) ).

fof(f15,axiom,
    ! [X6] : product(inverse(X6),X6,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(inverse(X0),X2,X1) ),
    inference(resolution,[],[f15,f21]) ).

fof(f21,plain,
    ! [X6,X7,X4,X5] :
      ( ~ product(X4,X5,identity)
      | ~ product(X5,X7,X6)
      | product(X4,X6,X7) ),
    inference(resolution,[],[f14,f12]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X2,X3)
      | ~ product(X0,X1,X4)
      | product(X0,X5,X3)
      | ~ product(X1,X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).

fof(f59,plain,
    ! [X3,X6,X4,X5] :
      ( ~ product(inverse(inverse(X5)),X3,X6)
      | product(X6,X4,X5)
      | ~ product(X3,X4,identity) ),
    inference(resolution,[],[f33,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X5,X3)
      | ~ product(X1,X2,X5)
      | ~ product(X0,X1,X4)
      | product(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % 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 22:05:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (9146)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)
% 0.19/0.48  % (9137)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49  % (9135)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)
% 0.19/0.50  % (9137)Instruction limit reached!
% 0.19/0.50  % (9137)------------------------------
% 0.19/0.50  % (9137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (9137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (9137)Termination reason: Unknown
% 0.19/0.50  % (9137)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (9137)Memory used [KB]: 5500
% 0.19/0.50  % (9137)Time elapsed: 0.089 s
% 0.19/0.50  % (9137)Instructions burned: 8 (million)
% 0.19/0.50  % (9137)------------------------------
% 0.19/0.50  % (9137)------------------------------
% 0.19/0.50  % (9152)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)
% 0.19/0.50  % (9134)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (9144)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  % (9131)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)
% 0.19/0.51  % (9141)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)
% 0.19/0.51  % (9131)Refutation not found, incomplete strategy% (9131)------------------------------
% 0.19/0.51  % (9131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (9131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (9131)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (9131)Memory used [KB]: 5373
% 0.19/0.51  % (9131)Time elapsed: 0.117 s
% 0.19/0.51  % (9131)Instructions burned: 3 (million)
% 0.19/0.51  % (9131)------------------------------
% 0.19/0.51  % (9131)------------------------------
% 0.19/0.51  % (9151)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51  % (9153)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)
% 0.19/0.52  % (9136)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)
% 0.19/0.52  % (9130)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (9133)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)
% 0.19/0.52  % (9156)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)
% 0.19/0.52  % (9155)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (9132)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)
% 0.19/0.52  TRYING [4]
% 0.19/0.52  % (9143)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (9157)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)
% 0.19/0.52  % (9154)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (9147)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  % (9150)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)
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (9145)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)
% 0.19/0.52  % (9159)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)
% 0.19/0.52  TRYING [3]
% 0.19/0.53  % (9149)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)
% 0.19/0.53  % (9148)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (9138)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  % (9142)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (9140)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (9138)Instruction limit reached!
% 0.19/0.53  % (9138)------------------------------
% 0.19/0.53  % (9138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9138)Termination reason: Unknown
% 0.19/0.53  % (9138)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (9138)Memory used [KB]: 5373
% 0.19/0.53  % (9138)Time elapsed: 0.142 s
% 0.19/0.53  % (9138)Instructions burned: 3 (million)
% 0.19/0.53  % (9138)------------------------------
% 0.19/0.53  % (9138)------------------------------
% 0.19/0.53  % (9139)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  % (9158)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  TRYING [4]
% 0.19/0.54  % (9153)First to succeed.
% 0.19/0.54  % (9153)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (9153)------------------------------
% 0.19/0.54  % (9153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (9153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (9153)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (9153)Memory used [KB]: 5500
% 0.19/0.54  % (9153)Time elapsed: 0.155 s
% 0.19/0.54  % (9153)Instructions burned: 15 (million)
% 0.19/0.54  % (9153)------------------------------
% 0.19/0.54  % (9153)------------------------------
% 0.19/0.54  % (9129)Success in time 0.199 s
%------------------------------------------------------------------------------