TSTP Solution File: FLD025-4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD025-4 : 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_uns --cores 0 -t %d %s

% Computer : n028.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 16:05:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f82,plain,
    $false,
    inference(subsumption_resolution,[],[f79,f64]) ).

fof(f64,plain,
    product(c,multiplicative_identity,c),
    inference(unit_resulting_resolution,[],[f42,f10]) ).

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

fof(f42,plain,
    product(multiplicative_identity,c,c),
    inference(unit_resulting_resolution,[],[f29,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).

fof(f29,axiom,
    defined(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).

fof(f79,plain,
    ~ product(c,multiplicative_identity,c),
    inference(unit_resulting_resolution,[],[f42,f33,f47,f7]) ).

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) ).

fof(f47,plain,
    ~ product(d,multiplicative_identity,c),
    inference(unit_resulting_resolution,[],[f32,f35,f38,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X5,X2)
      | ~ product(X0,X3,X4)
      | product(X0,X1,X2)
      | ~ product(X3,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).

fof(f38,plain,
    product(c,a,u),
    inference(unit_resulting_resolution,[],[f34,f10]) ).

fof(f34,axiom,
    product(a,c,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_8) ).

fof(f35,axiom,
    ~ product(d,b,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_9) ).

fof(f32,axiom,
    product(multiplicative_identity,a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).

fof(f33,axiom,
    product(multiplicative_identity,c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : FLD025-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n028.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 20:45:02 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (8742)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.49  % (8733)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49  % (8726)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49  TRYING [1]
% 0.20/0.49  % (8726)Instruction limit reached!
% 0.20/0.49  % (8726)------------------------------
% 0.20/0.49  % (8726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (8726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (8726)Termination reason: Unknown
% 0.20/0.49  % (8726)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (8726)Memory used [KB]: 5884
% 0.20/0.49  % (8726)Time elapsed: 0.068 s
% 0.20/0.49  % (8726)Instructions burned: 3 (million)
% 0.20/0.49  % (8726)------------------------------
% 0.20/0.49  % (8726)------------------------------
% 0.20/0.50  % (8724)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (8719)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.50  % (8733)Instruction limit reached!
% 0.20/0.50  % (8733)------------------------------
% 0.20/0.50  % (8733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (8737)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (8733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (8733)Termination reason: Unknown
% 0.20/0.50  % (8733)Termination phase: Finite model building SAT solving
% 0.20/0.50  
% 0.20/0.50  % (8733)Memory used [KB]: 6012
% 0.20/0.50  % (8733)Time elapsed: 0.070 s
% 0.20/0.50  % (8733)Instructions burned: 7 (million)
% 0.20/0.50  % (8733)------------------------------
% 0.20/0.50  % (8733)------------------------------
% 0.20/0.50  % (8717)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (8721)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.51  % (8735)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51  % (8741)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51  % (8720)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51  % (8720)Instruction limit reached!
% 0.20/0.51  % (8720)------------------------------
% 0.20/0.51  % (8720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8729)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (8720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8720)Termination reason: Unknown
% 0.20/0.52  % (8720)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8720)Memory used [KB]: 5884
% 0.20/0.52  % (8720)Time elapsed: 0.109 s
% 0.20/0.52  % (8720)Instructions burned: 4 (million)
% 0.20/0.52  % (8720)------------------------------
% 0.20/0.52  % (8720)------------------------------
% 0.20/0.52  % (8723)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (8730)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.52  % (8737)Instruction limit reached!
% 0.20/0.52  % (8737)------------------------------
% 0.20/0.52  % (8737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8737)Termination reason: Unknown
% 0.20/0.52  % (8737)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8737)Memory used [KB]: 5884
% 0.20/0.52  % (8737)Time elapsed: 0.131 s
% 0.20/0.52  % (8737)Instructions burned: 8 (million)
% 0.20/0.52  % (8737)------------------------------
% 0.20/0.52  % (8737)------------------------------
% 0.20/0.52  % (8722)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52  % (8739)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52  % (8739)Instruction limit reached!
% 0.20/0.52  % (8739)------------------------------
% 0.20/0.52  % (8739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8734)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (8743)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53  % (8748)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (8732)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53  % (8731)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (8746)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.53  % (8745)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.53  % (8739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8739)Termination reason: Unknown
% 0.20/0.53  % (8739)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8739)Memory used [KB]: 1407
% 0.20/0.53  % (8739)Time elapsed: 0.131 s
% 0.20/0.53  % (8739)Instructions burned: 7 (million)
% 0.20/0.53  % (8739)------------------------------
% 0.20/0.53  % (8739)------------------------------
% 0.20/0.53  % (8730)Instruction limit reached!
% 0.20/0.53  % (8730)------------------------------
% 0.20/0.53  % (8730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8730)Termination reason: Unknown
% 0.20/0.53  % (8730)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8730)Memory used [KB]: 5884
% 0.20/0.53  % (8730)Time elapsed: 0.141 s
% 0.20/0.53  % (8730)Instructions burned: 5 (million)
% 0.20/0.53  % (8730)------------------------------
% 0.20/0.53  % (8730)------------------------------
% 0.20/0.53  % (8735)Instruction limit reached!
% 0.20/0.53  % (8735)------------------------------
% 0.20/0.53  % (8735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8735)Termination reason: Unknown
% 0.20/0.53  % (8735)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (8735)Memory used [KB]: 5884
% 0.20/0.53  % (8735)Time elapsed: 0.121 s
% 0.20/0.53  % (8735)Instructions burned: 8 (million)
% 0.20/0.53  % (8735)------------------------------
% 0.20/0.53  % (8735)------------------------------
% 0.20/0.53  % (8727)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (8740)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.53  % (8725)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (8728)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (8747)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.54  % (8728)Instruction limit reached!
% 0.20/0.54  % (8728)------------------------------
% 0.20/0.54  % (8728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8728)Termination reason: Unknown
% 0.20/0.54  % (8728)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (8728)Memory used [KB]: 5884
% 0.20/0.54  % (8728)Time elapsed: 0.151 s
% 0.20/0.54  % (8728)Instructions burned: 6 (million)
% 0.20/0.54  % (8728)------------------------------
% 0.20/0.54  % (8728)------------------------------
% 0.20/0.54  % (8722)First to succeed.
% 0.20/0.54  % (8719)Also succeeded, but the first one will report.
% 0.20/0.54  % (8722)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  % (8722)------------------------------
% 0.20/0.54  % (8722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8722)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (8722)Memory used [KB]: 6012
% 0.20/0.54  % (8722)Time elapsed: 0.132 s
% 0.20/0.54  % (8722)Instructions burned: 10 (million)
% 0.20/0.54  % (8722)------------------------------
% 0.20/0.54  % (8722)------------------------------
% 0.20/0.54  % (8713)Success in time 0.192 s
%------------------------------------------------------------------------------