TSTP Solution File: GRP031-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP031-2 : 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 16:19:11 EDT 2022

% Result   : Unsatisfiable 1.47s 0.54s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   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   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f125,plain,
    $false,
    inference(resolution,[],[f87,f7]) ).

fof(f7,axiom,
    ! [X6] : ~ product(X6,a,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_has_a_left_inverse) ).

fof(f87,plain,
    ! [X2] : product(inverse(X2),X2,identity),
    inference(resolution,[],[f60,f5]) ).

fof(f5,axiom,
    ! [X6] : product(X6,inverse(X6),identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).

fof(f60,plain,
    ! [X14,X13] :
      ( ~ product(X14,X13,identity)
      | product(X13,X14,identity) ),
    inference(resolution,[],[f46,f6]) ).

fof(f6,axiom,
    ! [X6] : product(X6,identity,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X2,X1)
      | product(X3,X0,identity)
      | ~ product(X0,X1,X2) ),
    inference(resolution,[],[f24,f10]) ).

fof(f10,plain,
    ! [X10,X11,X9,X12] :
      ( ~ product(X10,inverse(X11),X12)
      | product(X9,X12,identity)
      | ~ product(X9,X10,X11) ),
    inference(resolution,[],[f3,f5]) ).

fof(f3,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/sandbox2/benchmark/theBenchmark.p',associativity1) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( product(X2,inverse(X1),X0)
      | ~ product(X0,X1,X2) ),
    inference(resolution,[],[f16,f6]) ).

fof(f16,plain,
    ! [X11,X14,X12,X13] :
      ( ~ product(X11,identity,X14)
      | ~ product(X11,X12,X13)
      | product(X13,inverse(X12),X14) ),
    inference(resolution,[],[f4,f5]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | ~ product(X0,X1,X4)
      | ~ product(X0,X5,X3)
      | product(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP031-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % 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 : n023.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 22:30:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (15764)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 (3000ds/51Mi)
% 0.19/0.50  % (15759)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50  % (15758)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51  % (15760)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 (3000ds/48Mi)
% 0.19/0.51  % (15780)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.51  % (15775)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 (3000ds/176Mi)
% 0.19/0.51  % (15766)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52  % (15773)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52  % (15772)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.52  % (15765)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52  % (15757)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 (3000ds/37Mi)
% 0.19/0.52  % (15756)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52  % (15782)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 (3000ds/177Mi)
% 0.19/0.52  % (15756)Refutation not found, incomplete strategy% (15756)------------------------------
% 0.19/0.52  % (15756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (15756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (15756)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (15756)Memory used [KB]: 5373
% 0.19/0.52  % (15756)Time elapsed: 0.128 s
% 0.19/0.52  % (15756)------------------------------
% 0.19/0.52  % (15756)------------------------------
% 0.19/0.52  % (15784)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 (3000ds/355Mi)
% 0.19/0.52  % (15762)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.53  % (15763)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.53  % (15755)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 (3000ds/191324Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (15763)Instruction limit reached!
% 0.19/0.53  % (15763)------------------------------
% 0.19/0.53  % (15763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15763)Termination reason: Unknown
% 0.19/0.53  % (15763)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (15763)Memory used [KB]: 5373
% 0.19/0.53  % (15763)Time elapsed: 0.129 s
% 0.19/0.53  % (15763)Instructions burned: 2 (million)
% 0.19/0.53  % (15763)------------------------------
% 0.19/0.53  % (15763)------------------------------
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (15762)Instruction limit reached!
% 0.19/0.53  % (15762)------------------------------
% 0.19/0.53  % (15762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15762)Termination reason: Unknown
% 0.19/0.53  % (15762)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (15762)Memory used [KB]: 5373
% 0.19/0.53  % (15762)Time elapsed: 0.130 s
% 0.19/0.53  % (15762)Instructions burned: 7 (million)
% 0.19/0.53  % (15762)------------------------------
% 0.19/0.53  % (15762)------------------------------
% 0.19/0.53  TRYING [4]
% 0.19/0.53  % (15783)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.47/0.53  % (15779)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.47/0.53  % (15778)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 (3000ds/467Mi)
% 1.47/0.53  % (15761)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.47/0.53  TRYING [1]
% 1.47/0.53  TRYING [2]
% 1.47/0.53  TRYING [3]
% 1.47/0.53  % (15770)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 (3000ds/75Mi)
% 1.47/0.54  % (15776)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.47/0.54  % (15771)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 (3000ds/99Mi)
% 1.47/0.54  % (15774)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 (3000ds/100Mi)
% 1.47/0.54  % (15769)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 (3000ds/68Mi)
% 1.47/0.54  % (15781)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 (3000ds/68Mi)
% 1.47/0.54  TRYING [1]
% 1.47/0.54  TRYING [2]
% 1.47/0.54  TRYING [3]
% 1.47/0.54  % (15757)First to succeed.
% 1.47/0.54  % (15767)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.47/0.54  % (15768)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.47/0.54  % (15757)Refutation found. Thanks to Tanya!
% 1.47/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.47/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.54  % (15757)------------------------------
% 1.47/0.54  % (15757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54  % (15757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54  % (15757)Termination reason: Refutation
% 1.47/0.54  
% 1.47/0.54  % (15757)Memory used [KB]: 895
% 1.47/0.54  % (15757)Time elapsed: 0.132 s
% 1.47/0.54  % (15757)Instructions burned: 7 (million)
% 1.47/0.54  % (15757)------------------------------
% 1.47/0.54  % (15757)------------------------------
% 1.47/0.54  % (15754)Success in time 0.191 s
%------------------------------------------------------------------------------