TSTP Solution File: FLD033-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD033-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n013.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 16:06:45 EDT 2022

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   32 (  13   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f312,plain,
    $false,
    inference(subsumption_resolution,[],[f311,f31]) ).

fof(f31,axiom,
    ~ product(multiplicative_identity,m,multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).

fof(f311,plain,
    product(multiplicative_identity,m,multiplicative_identity),
    inference(subsumption_resolution,[],[f310,f29]) ).

fof(f29,axiom,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).

fof(f310,plain,
    ( sum(additive_identity,a,additive_identity)
    | product(multiplicative_identity,m,multiplicative_identity) ),
    inference(subsumption_resolution,[],[f306,f33]) ).

fof(f33,plain,
    ~ defined(a),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f306,plain,
    ( defined(a)
    | sum(additive_identity,a,additive_identity)
    | product(multiplicative_identity,m,multiplicative_identity) ),
    inference(resolution,[],[f247,f32]) ).

fof(f32,plain,
    ! [X0] :
      ( product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | sum(additive_identity,X0,additive_identity)
      | defined(X0) ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,additive_identity)
      | ~ defined(X0)
      | product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).

fof(f247,plain,
    ! [X6] :
      ( ~ product(multiplicative_inverse(a),a,X6)
      | product(X6,m,multiplicative_identity) ),
    inference(subsumption_resolution,[],[f246,f33]) ).

fof(f246,plain,
    ! [X6] :
      ( ~ product(multiplicative_inverse(a),a,X6)
      | product(X6,m,multiplicative_identity)
      | defined(a) ),
    inference(subsumption_resolution,[],[f241,f29]) ).

fof(f241,plain,
    ! [X6] :
      ( product(X6,m,multiplicative_identity)
      | sum(additive_identity,a,additive_identity)
      | defined(a)
      | ~ product(multiplicative_inverse(a),a,X6) ),
    inference(resolution,[],[f94,f32]) ).

fof(f94,plain,
    ! [X18,X19,X17] :
      ( ~ product(X17,a,X19)
      | ~ product(X17,a,X18)
      | product(X18,m,X19) ),
    inference(resolution,[],[f7,f49]) ).

fof(f49,plain,
    product(a,m,a),
    inference(resolution,[],[f10,f30]) ).

fof(f30,axiom,
    product(m,a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).

fof(f10,axiom,
    ! [X3,X0,X5] :
      ( ~ product(X0,X3,X5)
      | product(X3,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X3,X5,X1)
      | ~ product(X0,X3,X4)
      | ~ product(X0,X1,X2)
      | product(X4,X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : FLD033-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 20:34:02 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (6590)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)
% 0.21/0.49  % (6574)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (6575)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)
% 0.21/0.51  % (6572)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)
% 0.21/0.52  % (6583)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52  % (6573)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)
% 0.21/0.52  % (6594)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.52  % (6576)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)
% 0.21/0.52  TRYING [1]
% 0.21/0.52  TRYING [2]
% 0.21/0.52  % (6593)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)
% 0.21/0.52  TRYING [3]
% 0.21/0.52  % (6570)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)
% 0.21/0.53  % (6571)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)
% 0.21/0.53  % (6571)Refutation not found, incomplete strategy% (6571)------------------------------
% 0.21/0.53  % (6571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (6571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (6571)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (6571)Memory used [KB]: 5373
% 0.21/0.53  % (6571)Time elapsed: 0.122 s
% 0.21/0.53  % (6571)Instructions burned: 2 (million)
% 0.21/0.53  % (6571)------------------------------
% 0.21/0.53  % (6571)------------------------------
% 0.21/0.53  % (6585)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)
% 0.21/0.53  % (6581)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)
% 0.21/0.53  % (6599)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)
% 0.21/0.53  % (6588)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53  % (6586)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)
% 0.21/0.53  % (6587)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.53  TRYING [4]
% 0.21/0.53  % (6578)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (6591)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54  % (6595)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (6579)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)
% 0.21/0.54  % (6589)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)
% 0.21/0.54  % (6577)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  % (6578)Instruction limit reached!
% 0.21/0.54  % (6578)------------------------------
% 0.21/0.54  % (6578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (6578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (6578)Termination reason: Unknown
% 0.21/0.54  % (6578)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (6578)Memory used [KB]: 5373
% 0.21/0.54  % (6578)Time elapsed: 0.138 s
% 0.21/0.54  % (6578)Instructions burned: 3 (million)
% 0.21/0.54  % (6578)------------------------------
% 0.21/0.54  % (6578)------------------------------
% 0.21/0.54  % (6592)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)
% 0.21/0.54  % (6582)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54  % (6598)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54  TRYING [3]
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  TRYING [3]
% 0.21/0.54  % (6597)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)
% 0.21/0.55  % (6596)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)
% 0.21/0.55  % (6574)Instruction limit reached!
% 0.21/0.55  % (6574)------------------------------
% 0.21/0.55  % (6574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (6574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (6584)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)
% 0.21/0.55  % (6574)Termination reason: Unknown
% 0.21/0.55  % (6574)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (6574)Memory used [KB]: 6012
% 0.21/0.55  % (6574)Time elapsed: 0.128 s
% 0.21/0.55  % (6574)Instructions burned: 51 (million)
% 0.21/0.55  % (6574)------------------------------
% 0.21/0.55  % (6574)------------------------------
% 0.21/0.55  % (6580)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  TRYING [4]
% 0.21/0.56  % (6577)Instruction limit reached!
% 0.21/0.56  % (6577)------------------------------
% 0.21/0.56  % (6577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (6576)Instruction limit reached!
% 0.21/0.57  % (6576)------------------------------
% 0.21/0.57  % (6576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  TRYING [4]
% 0.21/0.57  % (6577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (6577)Termination reason: Unknown
% 0.21/0.57  % (6577)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (6577)Memory used [KB]: 5500
% 0.21/0.57  % (6577)Time elapsed: 0.147 s
% 0.21/0.57  % (6577)Instructions burned: 7 (million)
% 0.21/0.57  % (6577)------------------------------
% 0.21/0.57  % (6577)------------------------------
% 0.21/0.57  % (6572)Instruction limit reached!
% 0.21/0.57  % (6572)------------------------------
% 0.21/0.57  % (6572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (6572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (6572)Termination reason: Unknown
% 0.21/0.57  % (6572)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (6572)Memory used [KB]: 1279
% 0.21/0.57  % (6572)Time elapsed: 0.174 s
% 0.21/0.57  % (6572)Instructions burned: 37 (million)
% 0.21/0.57  % (6572)------------------------------
% 0.21/0.57  % (6572)------------------------------
% 0.21/0.57  % (6589)First to succeed.
% 0.21/0.57  % (6589)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57  % (6589)------------------------------
% 0.21/0.57  % (6589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (6589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (6589)Termination reason: Refutation
% 0.21/0.57  
% 0.21/0.57  % (6589)Memory used [KB]: 1151
% 0.21/0.57  % (6589)Time elapsed: 0.173 s
% 0.21/0.57  % (6589)Instructions burned: 23 (million)
% 0.21/0.57  % (6589)------------------------------
% 0.21/0.57  % (6589)------------------------------
% 0.21/0.57  % (6569)Success in time 0.218 s
%------------------------------------------------------------------------------