TSTP Solution File: LCL321-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL321-3 : 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 : n028.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 17:40:18 EDT 2022

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   33 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  16   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   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   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f78,plain,
    $false,
    inference(subsumption_resolution,[],[f73,f15]) ).

fof(f15,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(f73,plain,
    ~ axiom(or(not(q),or(not(p),q))),
    inference(resolution,[],[f68,f32]) ).

fof(f32,plain,
    ! [X2,X3] :
      ( theorem(or(X2,X3))
      | ~ axiom(or(X3,X2)) ),
    inference(resolution,[],[f20,f7]) ).

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

fof(f20,plain,
    ! [X2,X1] :
      ( ~ theorem(or(X1,X2))
      | theorem(or(X2,X1)) ),
    inference(resolution,[],[f18,f14]) ).

fof(f14,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(f18,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(X1),X0))
      | ~ theorem(X1)
      | theorem(X0) ),
    inference(resolution,[],[f13,f7]) ).

fof(f13,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    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(f68,plain,
    ~ theorem(or(or(not(p),q),not(q))),
    inference(resolution,[],[f33,f16]) ).

fof(f16,plain,
    ~ theorem(or(or(not(p),q),or(not(p),not(q)))),
    inference(definition_unfolding,[],[f9,f6,f6]) ).

fof(f9,axiom,
    ~ theorem(or(implies(p,q),implies(p,not(q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X0,X2)) ),
    inference(resolution,[],[f21,f23]) ).

fof(f23,plain,
    ! [X10,X9] :
      ( theorem(or(X10,X9))
      | ~ theorem(X9) ),
    inference(resolution,[],[f18,f15]) ).

fof(f21,plain,
    ! [X3,X4,X5] :
      ( ~ theorem(or(X3,or(X4,X5)))
      | theorem(or(X4,or(X3,X5))) ),
    inference(resolution,[],[f18,f12]) ).

fof(f12,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
% 0.00/0.12  % Problem    : LCL321-3 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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 02:02:48 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.55  % (19953)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.56  % (19958)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)
% 0.19/0.56  % (19961)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.56  % (19939)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)
% 0.19/0.56  % (19945)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)
% 0.19/0.56  % (19941)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)
% 0.19/0.56  % (19939)First to succeed.
% 0.19/0.56  % (19941)Instruction limit reached!
% 0.19/0.56  % (19941)------------------------------
% 0.19/0.56  % (19941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (19941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (19941)Termination reason: Unknown
% 0.19/0.56  % (19941)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (19941)Memory used [KB]: 5756
% 0.19/0.56  % (19941)Time elapsed: 0.132 s
% 0.19/0.56  % (19941)Instructions burned: 3 (million)
% 0.19/0.56  % (19941)------------------------------
% 0.19/0.56  % (19941)------------------------------
% 0.19/0.57  % (19958)Refutation not found, incomplete strategy% (19958)------------------------------
% 0.19/0.57  % (19958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (19958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (19958)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57  
% 0.19/0.57  % (19958)Memory used [KB]: 5756
% 0.19/0.57  % (19958)Time elapsed: 0.143 s
% 0.19/0.57  % (19958)Instructions burned: 1 (million)
% 0.19/0.57  % (19958)------------------------------
% 0.19/0.57  % (19958)------------------------------
% 0.19/0.57  % (19949)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)
% 0.19/0.57  % (19949)Refutation not found, incomplete strategy% (19949)------------------------------
% 0.19/0.57  % (19949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (19949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (19949)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57  
% 0.19/0.57  % (19949)Memory used [KB]: 5756
% 0.19/0.57  % (19949)Time elapsed: 0.140 s
% 0.19/0.57  % (19949)Instructions burned: 1 (million)
% 0.19/0.57  % (19949)------------------------------
% 0.19/0.57  % (19949)------------------------------
% 0.19/0.57  % (19947)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)
% 0.19/0.57  % (19955)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)
% 0.19/0.57  % (19955)Refutation not found, incomplete strategy% (19955)------------------------------
% 0.19/0.57  % (19955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (19955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (19955)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57  
% 0.19/0.57  % (19955)Memory used [KB]: 5756
% 0.19/0.57  % (19955)Time elapsed: 0.148 s
% 0.19/0.57  % (19955)Instructions burned: 1 (million)
% 0.19/0.57  % (19955)------------------------------
% 0.19/0.57  % (19955)------------------------------
% 0.19/0.58  % (19945)Also succeeded, but the first one will report.
% 0.19/0.58  % (19939)Refutation found. Thanks to Tanya!
% 0.19/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58  % (19939)------------------------------
% 0.19/0.58  % (19939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (19939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (19939)Termination reason: Refutation
% 0.19/0.58  
% 0.19/0.58  % (19939)Memory used [KB]: 1279
% 0.19/0.58  % (19939)Time elapsed: 0.128 s
% 0.19/0.58  % (19939)Instructions burned: 3 (million)
% 0.19/0.58  % (19939)------------------------------
% 0.19/0.58  % (19939)------------------------------
% 0.19/0.58  % (19931)Success in time 0.223 s
%------------------------------------------------------------------------------