TSTP Solution File: GRP001-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP001-1 : 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 : 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 16:18:51 EDT 2022

% Result   : Unsatisfiable 1.35s 0.52s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   27 (   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    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(subsumption_resolution,[],[f99,f11]) ).

fof(f11,axiom,
    ~ product(b,a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).

fof(f99,plain,
    product(b,a,c),
    inference(resolution,[],[f81,f30]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ product(X2,X1,X0)
      | product(X0,X1,X2) ),
    inference(resolution,[],[f17,f2]) ).

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

fof(f17,plain,
    ! [X3,X6,X4,X5] :
      ( ~ product(X6,identity,X5)
      | product(X3,X4,X5)
      | ~ product(X6,X4,X3) ),
    inference(resolution,[],[f8,f9]) ).

fof(f9,axiom,
    ! [X0] : product(X0,X0,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_element) ).

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

fof(f81,plain,
    product(c,a,b),
    inference(resolution,[],[f37,f46]) ).

fof(f46,plain,
    product(c,b,a),
    inference(resolution,[],[f30,f10]) ).

fof(f10,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X2,X1)
      | product(X0,X1,X2) ),
    inference(resolution,[],[f15,f9]) ).

fof(f15,plain,
    ! [X11,X14,X12,X13] :
      ( ~ product(X14,X11,identity)
      | product(X14,X13,X12)
      | ~ product(X11,X12,X13) ),
    inference(resolution,[],[f7,f1]) ).

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

fof(f7,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GRP001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % 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 : n023.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 22:27:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (5883)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)
% 0.19/0.49  % (5889)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)
% 0.19/0.49  % (5887)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)
% 0.19/0.49  % (5913)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)
% 0.19/0.50  % (5903)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)
% 0.19/0.50  % (5898)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)
% 0.19/0.50  % (5904)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50  % (5885)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)
% 0.19/0.50  % (5883)Refutation not found, incomplete strategy% (5883)------------------------------
% 0.19/0.50  % (5883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (5895)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (5896)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (5907)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)
% 0.19/0.51  % (5900)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (5883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5883)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (5883)Memory used [KB]: 5373
% 0.19/0.51  % (5883)Time elapsed: 0.108 s
% 0.19/0.51  % (5883)Instructions burned: 4 (million)
% 0.19/0.51  % (5883)------------------------------
% 0.19/0.51  % (5883)------------------------------
% 0.19/0.51  % (5886)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  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 0.19/0.51  TRYING [4]
% 0.19/0.51  % (5902)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)
% 0.19/0.51  % (5909)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (5892)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)
% 0.19/0.51  % (5907)First to succeed.
% 0.19/0.51  % (5882)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)
% 0.19/0.51  % (5891)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (5891)Instruction limit reached!
% 0.19/0.51  % (5891)------------------------------
% 0.19/0.51  % (5891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5891)Termination reason: Unknown
% 0.19/0.51  % (5891)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (5891)Memory used [KB]: 895
% 0.19/0.51  % (5891)Time elapsed: 0.003 s
% 0.19/0.51  % (5891)Instructions burned: 2 (million)
% 0.19/0.51  % (5891)------------------------------
% 0.19/0.51  % (5891)------------------------------
% 0.19/0.51  % (5890)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 0.19/0.52  TRYING [4]
% 0.19/0.52  % (5884)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  % (5893)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.52  % (5890)Instruction limit reached!
% 1.35/0.52  % (5890)------------------------------
% 1.35/0.52  % (5890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.52  % (5911)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)
% 1.35/0.52  % (5908)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.52  % (5912)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.52  % (5907)Refutation found. Thanks to Tanya!
% 1.35/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.35/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.52  % (5907)------------------------------
% 1.35/0.52  % (5907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.52  % (5907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.52  % (5907)Termination reason: Refutation
% 1.35/0.52  
% 1.35/0.52  % (5907)Memory used [KB]: 5373
% 1.35/0.52  % (5907)Time elapsed: 0.081 s
% 1.35/0.52  % (5907)Instructions burned: 6 (million)
% 1.35/0.52  % (5907)------------------------------
% 1.35/0.52  % (5907)------------------------------
% 1.35/0.52  % (5880)Success in time 0.18 s
%------------------------------------------------------------------------------