TSTP Solution File: RNG002-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG002-1 : 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 : n018.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 18:15:13 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   28 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f154,plain,
    $false,
    inference(subsumption_resolution,[],[f152,f20]) ).

fof(f20,axiom,
    b != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_c) ).

fof(f152,plain,
    b = c,
    inference(resolution,[],[f124,f103]) ).

fof(f103,plain,
    sum(additive_inverse(a),d,b),
    inference(resolution,[],[f5,f51]) ).

fof(f51,plain,
    ! [X12] :
      ( ~ sum(X12,a,additive_identity)
      | sum(X12,d,b) ),
    inference(resolution,[],[f1,f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X2,b,X1)
      | ~ sum(X0,a,X2)
      | sum(X0,d,X1) ),
    inference(resolution,[],[f7,f18]) ).

fof(f18,axiom,
    sum(a,b,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_b_is_d) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X1,X3,X4)
      | sum(X0,X4,X5)
      | ~ sum(X2,X3,X5)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1) ).

fof(f1,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).

fof(f5,axiom,
    ! [X0] : sum(additive_inverse(X0),X0,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f124,plain,
    ! [X11] :
      ( ~ sum(additive_inverse(a),d,X11)
      | c = X11 ),
    inference(resolution,[],[f102,f16]) ).

fof(f16,axiom,
    ! [X2,X0,X1,X4] :
      ( ~ sum(X0,X1,X4)
      | ~ sum(X0,X1,X2)
      | X2 = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).

fof(f102,plain,
    sum(additive_inverse(a),d,c),
    inference(resolution,[],[f5,f57]) ).

fof(f57,plain,
    ! [X18] :
      ( ~ sum(X18,a,additive_identity)
      | sum(X18,d,c) ),
    inference(resolution,[],[f1,f28]) ).

fof(f28,plain,
    ! [X3,X4,X5] :
      ( ~ sum(X5,c,X4)
      | sum(X3,d,X4)
      | ~ sum(X3,a,X5) ),
    inference(resolution,[],[f7,f19]) ).

fof(f19,axiom,
    sum(a,c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_c_is_d) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : RNG002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n018.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   : Tue Aug 30 11:43:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (20421)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)
% 0.20/0.55  % (20429)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)
% 0.20/0.55  % (20412)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)
% 0.20/0.56  % (20413)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (20428)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)
% 0.20/0.56  TRYING [1]
% 0.20/0.56  % (20414)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (20420)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)
% 0.20/0.57  % (20435)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)
% 0.20/0.57  TRYING [2]
% 0.20/0.57  % (20422)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)
% 0.20/0.57  % (20413)Instruction limit reached!
% 0.20/0.57  % (20413)------------------------------
% 0.20/0.57  % (20413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (20425)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)
% 0.20/0.57  % (20416)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (20427)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.57  % (20433)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)
% 0.20/0.57  % (20413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (20413)Termination reason: Unknown
% 0.20/0.57  % (20413)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (20413)Memory used [KB]: 5500
% 0.20/0.57  % (20413)Time elapsed: 0.125 s
% 0.20/0.57  % (20413)Instructions burned: 8 (million)
% 0.20/0.57  % (20413)------------------------------
% 0.20/0.57  % (20413)------------------------------
% 0.20/0.57  TRYING [3]
% 0.20/0.58  % (20409)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)
% 0.20/0.58  % (20408)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)
% 0.20/0.58  % (20411)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)
% 0.20/0.58  % (20415)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)
% 0.20/0.58  % (20429)First to succeed.
% 0.20/0.58  % (20419)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58  % (20430)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.58  % (20417)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)
% 0.20/0.58  % (20429)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (20429)------------------------------
% 0.20/0.58  % (20429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (20429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (20429)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (20429)Memory used [KB]: 5500
% 0.20/0.58  % (20429)Time elapsed: 0.141 s
% 0.20/0.58  % (20429)Instructions burned: 10 (million)
% 0.20/0.58  % (20429)------------------------------
% 0.20/0.58  % (20429)------------------------------
% 0.20/0.58  % (20405)Success in time 0.222 s
%------------------------------------------------------------------------------