TSTP Solution File: RNG003-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG003-1 : 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_uns --cores 0 -t %d %s

% Computer : n019.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 18:14:15 EDT 2022

% Result   : Unsatisfiable 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   20 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   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   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f251,plain,
    $false,
    inference(subsumption_resolution,[],[f226,f48]) ).

fof(f48,plain,
    sum(d,additive_inverse(c),a),
    inference(unit_resulting_resolution,[],[f6,f2,f18,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X1,X3,X4)
      | sum(X2,X3,X5)
      | ~ sum(X0,X4,X5)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).

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

fof(f2,axiom,
    ! [X0] : sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).

fof(f6,axiom,
    ! [X0] : sum(X0,additive_inverse(X0),additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).

fof(f226,plain,
    ~ sum(d,additive_inverse(c),a),
    inference(unit_resulting_resolution,[],[f19,f6,f25,f7]) ).

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

fof(f25,plain,
    ~ sum(b,additive_identity,a),
    inference(unit_resulting_resolution,[],[f2,f20,f16]) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : RNG003-1 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 11:43:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (24772)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)
% 0.18/0.50  % (24787)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)
% 0.18/0.51  % (24779)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)
% 0.18/0.51  % (24784)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)
% 0.18/0.51  % (24787)Instruction limit reached!
% 0.18/0.51  % (24787)------------------------------
% 0.18/0.51  % (24787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (24787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (24787)Termination reason: Unknown
% 0.18/0.51  % (24787)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (24787)Memory used [KB]: 5884
% 0.18/0.51  % (24787)Time elapsed: 0.132 s
% 0.18/0.51  % (24787)Instructions burned: 3 (million)
% 0.18/0.51  % (24787)------------------------------
% 0.18/0.51  % (24787)------------------------------
% 0.18/0.52  % (24784)Instruction limit reached!
% 0.18/0.52  % (24784)------------------------------
% 0.18/0.52  % (24784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (24776)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52  % (24784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (24784)Termination reason: Unknown
% 0.18/0.52  % (24784)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (24784)Memory used [KB]: 5884
% 0.18/0.52  % (24784)Time elapsed: 0.112 s
% 0.18/0.52  % (24784)Instructions burned: 4 (million)
% 0.18/0.52  % (24784)------------------------------
% 0.18/0.52  % (24784)------------------------------
% 0.18/0.52  % (24780)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)
% 0.18/0.52  % (24793)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)
% 0.18/0.52  % (24792)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)
% 0.18/0.52  % (24792)Refutation not found, incomplete strategy% (24792)------------------------------
% 0.18/0.52  % (24792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (24792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (24792)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (24792)Memory used [KB]: 5884
% 0.18/0.52  % (24792)Time elapsed: 0.120 s
% 0.18/0.52  % (24792)Instructions burned: 2 (million)
% 0.18/0.52  % (24792)------------------------------
% 0.18/0.52  % (24792)------------------------------
% 0.18/0.52  % (24785)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)
% 0.18/0.52  % (24779)Instruction limit reached!
% 0.18/0.52  % (24779)------------------------------
% 0.18/0.52  % (24779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (24779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (24779)Termination reason: Unknown
% 0.18/0.53  % (24779)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (24779)Memory used [KB]: 5884
% 0.18/0.53  % (24779)Time elapsed: 0.141 s
% 0.18/0.53  % (24779)Instructions burned: 3 (million)
% 0.18/0.53  % (24779)------------------------------
% 0.18/0.53  % (24779)------------------------------
% 0.18/0.53  % (24796)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.18/0.53  % (24783)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)
% 0.18/0.53  % (24793)First to succeed.
% 0.18/0.53  % (24783)Instruction limit reached!
% 0.18/0.53  % (24783)------------------------------
% 0.18/0.53  % (24783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (24783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (24783)Termination reason: Unknown
% 0.18/0.53  % (24783)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (24783)Memory used [KB]: 5884
% 0.18/0.53  % (24783)Time elapsed: 0.130 s
% 0.18/0.53  % (24783)Instructions burned: 6 (million)
% 0.18/0.53  % (24783)------------------------------
% 0.18/0.53  % (24783)------------------------------
% 0.18/0.53  % (24778)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)
% 0.18/0.53  % (24796)Refutation not found, incomplete strategy% (24796)------------------------------
% 0.18/0.53  % (24796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (24796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (24796)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (24796)Memory used [KB]: 5884
% 0.18/0.53  % (24796)Time elapsed: 0.144 s
% 0.18/0.53  % (24796)Instructions burned: 5 (million)
% 0.18/0.53  % (24796)------------------------------
% 0.18/0.53  % (24796)------------------------------
% 0.18/0.54  % (24795)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)
% 0.18/0.54  % (24772)Instruction limit reached!
% 0.18/0.54  % (24772)------------------------------
% 0.18/0.54  % (24772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24772)Termination reason: Unknown
% 0.18/0.54  % (24772)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (24772)Memory used [KB]: 1791
% 0.18/0.54  % (24772)Time elapsed: 0.148 s
% 0.18/0.54  % (24772)Instructions burned: 42 (million)
% 0.18/0.54  % (24772)------------------------------
% 0.18/0.54  % (24772)------------------------------
% 0.18/0.54  % (24778)Refutation not found, incomplete strategy% (24778)------------------------------
% 0.18/0.54  % (24778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24778)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (24778)Memory used [KB]: 5884
% 0.18/0.54  % (24778)Time elapsed: 0.087 s
% 0.18/0.54  % (24778)Instructions burned: 2 (million)
% 0.18/0.54  % (24778)------------------------------
% 0.18/0.54  % (24778)------------------------------
% 0.18/0.54  % (24777)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)
% 0.18/0.54  % (24773)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)
% 0.18/0.54  % (24793)Refutation found. Thanks to Tanya!
% 0.18/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54  % (24793)------------------------------
% 0.18/0.54  % (24793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24793)Termination reason: Refutation
% 0.18/0.54  
% 0.18/0.54  % (24793)Memory used [KB]: 6012
% 0.18/0.54  % (24793)Time elapsed: 0.078 s
% 0.18/0.54  % (24793)Instructions burned: 11 (million)
% 0.18/0.54  % (24793)------------------------------
% 0.18/0.54  % (24793)------------------------------
% 0.18/0.54  % (24766)Success in time 0.198 s
%------------------------------------------------------------------------------