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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --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 18:15:30 EDT 2022

% Result   : Unsatisfiable 1.70s 0.57s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   23 (  12   ~;  11   |;   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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f687,plain,
    $false,
    inference(subsumption_resolution,[],[f686,f25]) ).

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

fof(f686,plain,
    sum(l,n,additive_identity),
    inference(resolution,[],[f666,f31]) ).

fof(f31,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(f20,axiom,
    ! [X10,X11,X12] :
      ( ~ product(X10,X11,X12)
      | product(X11,X10,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_symmetry) ).

fof(f666,plain,
    ! [X0] :
      ( ~ product(a,b,X0)
      | sum(X0,n,additive_identity) ),
    inference(resolution,[],[f32,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ product(a,c,X1)
      | ~ product(a,b,X0)
      | sum(X0,X1,additive_identity) ),
    inference(resolution,[],[f92,f30]) ).

fof(f30,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(f92,plain,
    ! [X10,X11,X12,X13] :
      ( ~ product(X10,d,X12)
      | sum(X11,X13,X12)
      | ~ product(X10,c,X13)
      | ~ product(X10,b,X11) ),
    inference(resolution,[],[f12,f21]) ).

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

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

fof(f32,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG040-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 12:05:59 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (7780)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)
% 0.20/0.48  % (7771)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)
% 0.20/0.53  % (7784)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)
% 0.20/0.53  % (7757)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)
% 0.20/0.53  % (7756)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)
% 0.20/0.53  % (7759)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)
% 0.20/0.53  % (7758)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)
% 0.20/0.53  % (7760)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (7778)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)
% 0.20/0.54  % (7761)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)
% 0.20/0.54  % (7770)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)
% 0.20/0.54  % (7777)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (7763)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (7774)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (7775)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)
% 0.20/0.54  % (7773)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.47/0.54  % (7765)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)
% 1.47/0.54  % (7767)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)
% 1.47/0.55  % (7776)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)
% 1.47/0.55  % (7768)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.47/0.55  % (7762)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)
% 1.47/0.55  % (7766)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.55  % (7786)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)
% 1.47/0.55  % (7783)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)
% 1.47/0.55  % (7781)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.55  TRYING [1]
% 1.47/0.55  TRYING [2]
% 1.47/0.55  % (7782)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.55  % (7769)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.55  % (7757)Refutation not found, incomplete strategy% (7757)------------------------------
% 1.47/0.55  % (7757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (7757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (7757)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.55  
% 1.47/0.55  % (7757)Memory used [KB]: 5500
% 1.47/0.55  % (7757)Time elapsed: 0.127 s
% 1.47/0.55  % (7757)Instructions burned: 6 (million)
% 1.47/0.55  % (7757)------------------------------
% 1.47/0.55  % (7757)------------------------------
% 1.47/0.55  % (7763)Instruction limit reached!
% 1.47/0.55  % (7763)------------------------------
% 1.47/0.55  % (7763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (7763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (7763)Termination reason: Unknown
% 1.47/0.55  % (7763)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (7763)Memory used [KB]: 5500
% 1.47/0.55  % (7763)Time elapsed: 0.109 s
% 1.47/0.55  % (7763)Instructions burned: 7 (million)
% 1.47/0.55  % (7763)------------------------------
% 1.47/0.55  % (7763)------------------------------
% 1.47/0.55  % (7785)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.56  TRYING [3]
% 1.47/0.56  % (7772)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)
% 1.47/0.56  TRYING [1]
% 1.47/0.56  TRYING [2]
% 1.47/0.56  % (7764)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.56  TRYING [3]
% 1.47/0.56  % (7780)First to succeed.
% 1.70/0.57  TRYING [1]
% 1.70/0.57  % (7780)Refutation found. Thanks to Tanya!
% 1.70/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.70/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.57  % (7780)------------------------------
% 1.70/0.57  % (7780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57  % (7780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57  % (7780)Termination reason: Refutation
% 1.70/0.57  
% 1.70/0.57  % (7780)Memory used [KB]: 5628
% 1.70/0.57  % (7780)Time elapsed: 0.149 s
% 1.70/0.57  % (7780)Instructions burned: 48 (million)
% 1.70/0.57  % (7780)------------------------------
% 1.70/0.57  % (7780)------------------------------
% 1.70/0.57  % (7755)Success in time 0.212 s
%------------------------------------------------------------------------------