TSTP Solution File: RNG040-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG040-2 : 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_uns --cores 0 -t %d %s

% Computer : n025.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 18:14:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f94,plain,
    $false,
    inference(unit_resulting_resolution,[],[f25,f80,f21,f79,f81,f12]) ).

fof(f12,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X0,X3,X7)
      | ~ product(X0,X1,X6)
      | ~ sum(X1,X3,X8)
      | ~ product(X0,X8,X9)
      | sum(X6,X7,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

fof(f81,plain,
    product(a,d,additive_identity),
    inference(resolution,[],[f20,f22]) ).

fof(f22,axiom,
    product(d,a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_plus_a) ).

fof(f20,axiom,
    ! [X10,X11,X12] :
      ( ~ product(X10,X11,X12)
      | product(X11,X10,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_symmetry) ).

fof(f79,plain,
    product(a,b,l),
    inference(resolution,[],[f20,f23]) ).

fof(f23,axiom,
    product(b,a,l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_a) ).

fof(f21,axiom,
    sum(b,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_c) ).

fof(f80,plain,
    product(a,c,n),
    inference(resolution,[],[f20,f24]) ).

fof(f24,axiom,
    product(c,a,n),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_a) ).

fof(f25,axiom,
    ~ sum(l,n,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG040-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 12:06:14 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.44  % (8374)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)
% 0.19/0.46  % (8366)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.46  % (8374)Instruction limit reached!
% 0.19/0.46  % (8374)------------------------------
% 0.19/0.46  % (8374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (8374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (8374)Termination reason: Unknown
% 0.19/0.46  % (8374)Termination phase: Saturation
% 0.19/0.46  
% 0.19/0.46  % (8374)Memory used [KB]: 5884
% 0.19/0.46  % (8374)Time elapsed: 0.084 s
% 0.19/0.46  % (8374)Instructions burned: 4 (million)
% 0.19/0.46  % (8374)------------------------------
% 0.19/0.46  % (8374)------------------------------
% 0.19/0.47  % (8391)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)
% 0.19/0.47  % (8367)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)
% 0.19/0.48  % (8383)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)
% 0.19/0.48  % (8383)Instruction limit reached!
% 0.19/0.48  % (8383)------------------------------
% 0.19/0.48  % (8383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (8383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (8383)Termination reason: Unknown
% 0.19/0.48  % (8383)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (8383)Memory used [KB]: 1279
% 0.19/0.48  % (8383)Time elapsed: 0.003 s
% 0.19/0.48  % (8383)Instructions burned: 2 (million)
% 0.19/0.48  % (8383)------------------------------
% 0.19/0.48  % (8383)------------------------------
% 0.19/0.48  % (8371)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.49  % (8389)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)
% 0.19/0.49  % (8385)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)
% 0.19/0.49  % (8381)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)
% 0.19/0.49  % (8379)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)
% 0.19/0.50  % (8367)First to succeed.
% 0.19/0.50  % (8376)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)
% 0.19/0.50  % (8377)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)
% 0.19/0.50  % (8372)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)
% 0.19/0.50  % (8379)Instruction limit reached!
% 0.19/0.50  % (8379)------------------------------
% 0.19/0.50  % (8379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (8379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (8379)Termination reason: Unknown
% 0.19/0.50  % (8379)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (8379)Memory used [KB]: 5884
% 0.19/0.50  % (8379)Time elapsed: 0.112 s
% 0.19/0.50  % (8379)Instructions burned: 5 (million)
% 0.19/0.50  % (8379)------------------------------
% 0.19/0.50  % (8379)------------------------------
% 0.19/0.50  % (8375)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)
% 0.19/0.51  % (8390)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)
% 0.19/0.51  % (8371)Instruction limit reached!
% 0.19/0.51  % (8371)------------------------------
% 0.19/0.51  % (8371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (8371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8371)Termination reason: Unknown
% 0.19/0.51  % (8371)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (8371)Memory used [KB]: 6012
% 0.19/0.51  % (8371)Time elapsed: 0.100 s
% 0.19/0.51  % (8371)Instructions burned: 26 (million)
% 0.19/0.51  % (8371)------------------------------
% 0.19/0.51  % (8371)------------------------------
% 0.19/0.51  % (8369)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)
% 0.19/0.52  % (8370)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)
% 0.19/0.52  % (8396)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)
% 0.19/0.52  % (8367)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (8367)------------------------------
% 0.19/0.52  % (8367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (8367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (8367)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (8367)Memory used [KB]: 1535
% 0.19/0.52  % (8367)Time elapsed: 0.102 s
% 0.19/0.52  % (8367)Instructions burned: 17 (million)
% 0.19/0.52  % (8367)------------------------------
% 0.19/0.52  % (8367)------------------------------
% 0.19/0.52  % (8363)Success in time 0.177 s
%------------------------------------------------------------------------------