TSTP Solution File: LCL218-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL218-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n022.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 17:39:28 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  19 unt;   0 def)
%            Number of atoms       :   38 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f470,plain,
    $false,
    inference(subsumption_resolution,[],[f461,f305]) ).

fof(f305,plain,
    ! [X19,X20] : theorem(or(not(X19),or(X19,X20))),
    inference(resolution,[],[f133,f18]) ).

fof(f18,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f13,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f13,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f133,plain,
    ! [X2,X3,X4] :
      ( ~ theorem(or(X2,or(X3,X4)))
      | theorem(or(X2,or(X4,X3))) ),
    inference(resolution,[],[f56,f20]) ).

fof(f20,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f15,f7]) ).

fof(f15,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | ~ theorem(or(X2,X0))
      | theorem(or(X2,X1)) ),
    inference(resolution,[],[f35,f11]) ).

fof(f11,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | theorem(X3)
      | ~ theorem(implies(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X2,X0)),or(X2,X1)))
      | ~ theorem(or(not(X0),X1)) ),
    inference(resolution,[],[f22,f11]) ).

fof(f22,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[],[f16,f7]) ).

fof(f16,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f461,plain,
    ~ theorem(or(not(p),or(p,q))),
    inference(resolution,[],[f162,f12]) ).

fof(f12,plain,
    ~ theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))),
    inference(definition_unfolding,[],[f9,f6,f6,f6]) ).

fof(f9,axiom,
    ~ theorem(implies(implies(or(p,q),q),implies(p,q))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f162,plain,
    ! [X6,X4,X5] :
      ( theorem(or(not(or(not(X5),X6)),or(X4,X6)))
      | ~ theorem(or(X4,X5)) ),
    inference(resolution,[],[f40,f11]) ).

fof(f40,plain,
    ! [X8,X9,X7] : theorem(or(not(or(X7,X8)),or(not(or(not(X8),X9)),or(X7,X9)))),
    inference(resolution,[],[f33,f22]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X1,X2)))
      | theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f21,f11]) ).

fof(f21,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f14,f7]) ).

fof(f14,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL218-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.32  % Computer : n022.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Tue Aug 30 01:46:26 EDT 2022
% 0.13/0.32  % CPUTime    : 
% 0.18/0.48  % (23302)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.48  % (23298)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)
% 0.18/0.48  % (23298)Refutation not found, incomplete strategy% (23298)------------------------------
% 0.18/0.48  % (23298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (23298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (23298)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48  
% 0.18/0.48  % (23298)Memory used [KB]: 1279
% 0.18/0.48  % (23298)Time elapsed: 0.097 s
% 0.18/0.48  % (23298)------------------------------
% 0.18/0.48  % (23298)------------------------------
% 0.18/0.48  % (23297)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.48  % (23300)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)
% 0.18/0.48  % (23305)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)
% 0.18/0.48  % (23305)Instruction limit reached!
% 0.18/0.48  % (23305)------------------------------
% 0.18/0.48  % (23305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (23305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (23305)Termination reason: Unknown
% 0.18/0.48  % (23305)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (23305)Memory used [KB]: 5756
% 0.18/0.48  % (23305)Time elapsed: 0.113 s
% 0.18/0.48  % (23305)Instructions burned: 4 (million)
% 0.18/0.48  % (23305)------------------------------
% 0.18/0.48  % (23305)------------------------------
% 0.18/0.49  % (23316)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.49  % (23318)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (23325)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)
% 0.18/0.50  % (23303)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)
% 0.18/0.50  % (23314)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)
% 0.18/0.50  % (23310)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)
% 0.18/0.50  % (23314)Instruction limit reached!
% 0.18/0.50  % (23314)------------------------------
% 0.18/0.50  % (23314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (23314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (23314)Termination reason: Unknown
% 0.18/0.50  % (23314)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (23314)Memory used [KB]: 1279
% 0.18/0.50  % (23314)Time elapsed: 0.004 s
% 0.18/0.50  % (23314)Instructions burned: 2 (million)
% 0.18/0.50  % (23314)------------------------------
% 0.18/0.50  % (23314)------------------------------
% 0.18/0.50  % (23307)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)
% 0.18/0.50  % (23326)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)
% 0.18/0.50  % (23326)Refutation not found, incomplete strategy% (23326)------------------------------
% 0.18/0.50  % (23326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (23326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (23326)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (23326)Memory used [KB]: 5756
% 0.18/0.50  % (23326)Time elapsed: 0.133 s
% 0.18/0.50  % (23326)------------------------------
% 0.18/0.50  % (23326)------------------------------
% 0.18/0.50  % (23307)Instruction limit reached!
% 0.18/0.50  % (23307)------------------------------
% 0.18/0.50  % (23307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (23318)Refutation not found, incomplete strategy% (23318)------------------------------
% 0.18/0.50  % (23318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (23318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (23318)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (23318)Memory used [KB]: 5756
% 0.18/0.50  % (23318)Time elapsed: 0.127 s
% 0.18/0.50  % (23318)Instructions burned: 1 (million)
% 0.18/0.50  % (23318)------------------------------
% 0.18/0.50  % (23318)------------------------------
% 0.18/0.50  % (23307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (23307)Termination reason: Unknown
% 0.18/0.50  % (23307)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (23307)Memory used [KB]: 6012
% 0.18/0.50  % (23307)Time elapsed: 0.127 s
% 0.18/0.50  % (23307)Instructions burned: 7 (million)
% 0.18/0.50  % (23307)------------------------------
% 0.18/0.50  % (23307)------------------------------
% 0.18/0.51  % (23316)Instruction limit reached!
% 0.18/0.51  % (23316)------------------------------
% 0.18/0.51  % (23316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (23316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (23316)Termination reason: Unknown
% 0.18/0.51  % (23316)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (23316)Memory used [KB]: 5884
% 0.18/0.51  % (23316)Time elapsed: 0.119 s
% 0.18/0.51  % (23316)Instructions burned: 9 (million)
% 0.18/0.51  % (23316)------------------------------
% 0.18/0.51  % (23316)------------------------------
% 0.18/0.51  % (23321)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)
% 0.18/0.51  % (23299)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)
% 0.18/0.51  % (23321)Refutation not found, incomplete strategy% (23321)------------------------------
% 0.18/0.51  % (23321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (23321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (23321)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (23321)Memory used [KB]: 5756
% 0.18/0.51  % (23321)Time elapsed: 0.134 s
% 0.18/0.51  % (23321)Instructions burned: 1 (million)
% 0.18/0.51  % (23321)------------------------------
% 0.18/0.51  % (23321)------------------------------
% 0.18/0.51  % (23301)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)
% 0.18/0.51  % (23299)Instruction limit reached!
% 0.18/0.51  % (23299)------------------------------
% 0.18/0.51  % (23299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (23299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (23299)Termination reason: Unknown
% 0.18/0.51  % (23299)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (23299)Memory used [KB]: 5884
% 0.18/0.51  % (23299)Time elapsed: 0.134 s
% 0.18/0.51  % (23299)Instructions burned: 4 (million)
% 0.18/0.51  % (23299)------------------------------
% 0.18/0.51  % (23299)------------------------------
% 0.18/0.51  % (23313)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)
% 0.18/0.51  % (23301)Refutation not found, incomplete strategy% (23301)------------------------------
% 0.18/0.51  % (23301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (23301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (23301)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (23301)Memory used [KB]: 5756
% 0.18/0.51  % (23301)Time elapsed: 0.134 s
% 0.18/0.51  % (23301)Instructions burned: 2 (million)
% 0.18/0.51  % (23300)First to succeed.
% 0.18/0.51  % (23301)------------------------------
% 0.18/0.51  % (23301)------------------------------
% 0.18/0.51  % (23328)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  % (23328)Refutation not found, incomplete strategy% (23328)------------------------------
% 0.18/0.51  % (23328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (23328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (23328)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (23328)Memory used [KB]: 1279
% 0.18/0.51  % (23328)Time elapsed: 0.130 s
% 0.18/0.51  % (23328)------------------------------
% 0.18/0.51  % (23328)------------------------------
% 0.18/0.51  % (23312)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)
% 0.18/0.51  TRYING [2]
% 0.18/0.51  % (23300)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (23300)------------------------------
% 0.18/0.51  % (23300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (23300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (23300)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (23300)Memory used [KB]: 6140
% 0.18/0.51  % (23300)Time elapsed: 0.133 s
% 0.18/0.51  % (23300)Instructions burned: 23 (million)
% 0.18/0.51  % (23300)------------------------------
% 0.18/0.51  % (23300)------------------------------
% 0.18/0.51  % (23291)Success in time 0.174 s
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