TSTP Solution File: FLD035-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD035-3 : 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_uns --cores 0 -t %d %s

% Computer : n029.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 16:05:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   18 (  13 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f69,plain,
    $false,
    inference(subsumption_resolution,[],[f68,f42]) ).

fof(f42,plain,
    product(multiplicative_identity,b,b),
    inference(unit_resulting_resolution,[],[f28,f8]) ).

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

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

fof(f68,plain,
    ~ product(multiplicative_identity,b,b),
    inference(unit_resulting_resolution,[],[f36,f49,f60,f6]) ).

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

fof(f60,plain,
    ~ product(multiplicative_inverse(c),u,b),
    inference(unit_resulting_resolution,[],[f34,f35,f49,f7]) ).

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

fof(f35,plain,
    product(c,a,u),
    inference(unit_resulting_resolution,[],[f31,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(f31,axiom,
    product(a,c,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).

fof(f34,axiom,
    ~ product(multiplicative_identity,a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_8) ).

fof(f49,plain,
    product(multiplicative_inverse(c),c,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f33,f29,f9]) ).

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

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

fof(f33,axiom,
    ~ sum(additive_identity,c,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).

fof(f36,plain,
    product(c,b,u),
    inference(unit_resulting_resolution,[],[f32,f10]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : FLD035-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:47:56 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (6198)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)
% 0.20/0.50  % (6201)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)
% 0.20/0.50  % (6200)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)
% 0.20/0.50  % (6206)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)
% 0.20/0.51  % (6203)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)
% 0.20/0.51  % (6202)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51  % (6198)Instruction limit reached!
% 0.20/0.51  % (6198)------------------------------
% 0.20/0.51  % (6198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (6197)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)
% 0.20/0.51  % (6215)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.52  % (6214)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52  % (6198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (6198)Termination reason: Unknown
% 0.20/0.52  % (6198)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (6198)Memory used [KB]: 5884
% 0.20/0.52  % (6198)Time elapsed: 0.104 s
% 0.20/0.52  % (6198)Instructions burned: 5 (million)
% 0.20/0.52  % (6198)------------------------------
% 0.20/0.52  % (6198)------------------------------
% 0.20/0.52  % (6209)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  % (6201)First to succeed.
% 0.20/0.52  % (6214)Instruction limit reached!
% 0.20/0.52  % (6214)------------------------------
% 0.20/0.52  % (6214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (6226)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)
% 0.20/0.52  % (6221)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)
% 0.20/0.53  % (6218)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  % (6217)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)
% 0.20/0.53  % (6212)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)
% 0.20/0.53  % (6217)Instruction limit reached!
% 0.20/0.53  % (6217)------------------------------
% 0.20/0.53  % (6217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6217)Termination reason: Unknown
% 0.20/0.53  % (6217)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (6217)Memory used [KB]: 1407
% 0.20/0.53  % (6217)Time elapsed: 0.130 s
% 0.20/0.53  % (6217)Instructions burned: 6 (million)
% 0.20/0.53  % (6217)------------------------------
% 0.20/0.53  % (6217)------------------------------
% 0.20/0.53  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (6214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6214)Termination reason: Unknown
% 0.20/0.53  % (6214)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (6214)Memory used [KB]: 6012
% 0.20/0.53  % (6214)Time elapsed: 0.126 s
% 0.20/0.53  % (6212)Instruction limit reached!
% 0.20/0.53  % (6212)------------------------------
% 0.20/0.53  % (6212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6212)Termination reason: Unknown
% 0.20/0.53  % (6212)Termination phase: Finite model building SAT solving
% 0.20/0.53  
% 0.20/0.53  % (6212)Memory used [KB]: 6012
% 0.20/0.53  % (6212)Time elapsed: 0.093 s
% 0.20/0.53  % (6212)Instructions burned: 6 (million)
% 0.20/0.53  % (6212)------------------------------
% 0.20/0.53  % (6212)------------------------------
% 0.20/0.53  % (6201)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (6201)------------------------------
% 0.20/0.53  % (6201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6201)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (6201)Memory used [KB]: 5884
% 0.20/0.53  % (6201)Time elapsed: 0.119 s
% 0.20/0.53  % (6201)Instructions burned: 6 (million)
% 0.20/0.53  % (6201)------------------------------
% 0.20/0.53  % (6201)------------------------------
% 0.20/0.53  % (6191)Success in time 0.172 s
%------------------------------------------------------------------------------