TSTP Solution File: LAT029-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Tue Apr 30 20:25:13 EDT 2024
% Result : Unsatisfiable 1.62s 0.58s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 10
% Syntax : Number of formulae : 108 ( 90 unt; 0 def)
% Number of atoms : 132 ( 104 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 19 ~; 20 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 171 ( 171 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : join(meet(X,Y),meet(X,join(X,Y))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : join(meet(X,X),meet(Y,join(X,X))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : join(meet(X,Y),meet(Y,join(X,Y))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : meet(meet(join(X,Y),join(Z,X)),X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : join(join(meet(X,Y),meet(Z,X)),X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
( spl0_0
<=> meet(a,a) = a ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( meet(a,a) != a
| spl0_0 ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( spl0_1
<=> meet(b,a) = meet(a,b) ),
introduced(split_symbol_definition) ).
fof(f18,plain,
( meet(b,a) != meet(a,b)
| spl0_1 ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( spl0_2
<=> join(a,a) = a ),
introduced(split_symbol_definition) ).
fof(f21,plain,
( join(a,a) != a
| spl0_2 ),
inference(component_clause,[status(thm)],[f19]) ).
fof(f22,plain,
( spl0_3
<=> join(b,a) = join(a,b) ),
introduced(split_symbol_definition) ).
fof(f24,plain,
( join(b,a) != join(a,b)
| spl0_3 ),
inference(component_clause,[status(thm)],[f22]) ).
fof(f25,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f12,f13,f16,f19,f22]) ).
fof(f26,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f27,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f29,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X1,join(X0,X0)),X0)) = meet(X1,join(X0,X0)),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f30,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,join(X0,X1)),X0)) = meet(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f32,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X2,X0))),meet(X2,X0)) = meet(X2,X0),
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f38,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f10,f8]) ).
fof(f41,plain,
! [X0,X1,X2,X3] : join(join(X0,meet(X1,meet(join(X0,X2),join(X3,X0)))),meet(join(X0,X2),join(X3,X0))) = meet(join(X0,X2),join(X3,X0)),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f42,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f43,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f59,plain,
! [X0,X1] : meet(meet(X0,meet(X1,X0)),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f9,f43]) ).
fof(f61,plain,
! [X0,X1] : meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f43]) ).
fof(f81,plain,
! [X0,X1,X2] : meet(meet(X0,X0),meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f10,f59]) ).
fof(f82,plain,
! [X0,X1,X2] : meet(meet(X0,X0),X0) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f10,f81]) ).
fof(f83,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f82]) ).
fof(f112,plain,
! [X0] : join(X0,meet(X0,join(meet(X0,X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f83,f9]) ).
fof(f154,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f83,f27]) ).
fof(f160,plain,
! [X0,X1] : meet(meet(join(X0,X1),meet(X0,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f154,f10]) ).
fof(f167,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f112,f10]) ).
fof(f202,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(paramodulation,[status(thm)],[f167,f9]) ).
fof(f308,plain,
! [X0,X1] : meet(meet(meet(join(X0,X1),meet(X0,X0)),X0),meet(meet(join(X0,X1),meet(X0,X0)),X0)) = meet(meet(join(X0,X1),meet(X0,X0)),X0),
inference(paramodulation,[status(thm)],[f160,f61]) ).
fof(f309,plain,
! [X0,X1] : meet(X0,meet(meet(join(X0,X1),meet(X0,X0)),X0)) = meet(meet(join(X0,X1),meet(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f160,f308]) ).
fof(f310,plain,
! [X0,X1] : meet(X0,X0) = meet(meet(join(X0,X1),meet(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f160,f309]) ).
fof(f311,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f160,f310]) ).
fof(f401,plain,
! [X0] : join(X0,join(X0,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f311,f38]) ).
fof(f402,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f311,f8]) ).
fof(f471,plain,
! [X0,X1] : join(meet(X0,meet(X1,join(X0,X0))),meet(meet(X1,join(X0,X0)),X0)) = meet(X1,join(X0,X0)),
inference(forward_demodulation,[status(thm)],[f311,f29]) ).
fof(f498,plain,
! [X0,X1] : join(meet(X0,join(X1,X1)),X1) = X1,
inference(paramodulation,[status(thm)],[f471,f11]) ).
fof(f554,plain,
! [X0] : join(meet(meet(X0,join(X0,X0)),meet(X0,X0)),meet(meet(X0,join(X0,join(X0,X0))),X0)) = meet(X0,join(X0,join(X0,X0))),
inference(paramodulation,[status(thm)],[f401,f30]) ).
fof(f555,plain,
! [X0] : join(meet(meet(X0,join(X0,X0)),X0),meet(meet(X0,join(X0,join(X0,X0))),X0)) = meet(X0,join(X0,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f311,f554]) ).
fof(f556,plain,
! [X0] : join(X0,meet(meet(X0,join(X0,join(X0,X0))),X0)) = meet(X0,join(X0,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f167,f555]) ).
fof(f557,plain,
! [X0] : join(X0,meet(meet(X0,X0),X0)) = meet(X0,join(X0,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f401,f556]) ).
fof(f558,plain,
! [X0] : join(X0,meet(X0,X0)) = meet(X0,join(X0,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f311,f557]) ).
fof(f559,plain,
! [X0] : join(X0,X0) = meet(X0,join(X0,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f311,f558]) ).
fof(f560,plain,
! [X0] : join(X0,X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f401,f559]) ).
fof(f561,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f311,f560]) ).
fof(f620,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f561,f402]) ).
fof(f875,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f561,f498]) ).
fof(f908,plain,
! [X0,X1] : join(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f875,f7]) ).
fof(f909,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f561,f908]) ).
fof(f1016,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(backward_demodulation,[status(thm)],[f909,f43]) ).
fof(f1017,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(backward_demodulation,[status(thm)],[f909,f61]) ).
fof(f2130,plain,
! [X0,X1] : join(meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(X0,X0)),meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0)) = meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),
inference(paramodulation,[status(thm)],[f202,f26]) ).
fof(f2131,plain,
! [X0,X1] : join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0)) = meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),
inference(forward_demodulation,[status(thm)],[f1017,f2130]) ).
fof(f2132,plain,
! [X0,X1] : join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0)) = meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),
inference(forward_demodulation,[status(thm)],[f311,f2131]) ).
fof(f2133,plain,
! [X0,X1] : join(X0,meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0)) = meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),
inference(forward_demodulation,[status(thm)],[f167,f2132]) ).
fof(f2134,plain,
! [X0,X1] : X0 = meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),
inference(forward_demodulation,[status(thm)],[f620,f2133]) ).
fof(f2135,plain,
! [X0,X1] : X0 = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f1017,f2134]) ).
fof(f2208,plain,
! [X0,X1] : join(join(meet(X0,join(X1,X0)),X0),X0) = join(meet(X0,join(X1,X0)),X0),
inference(paramodulation,[status(thm)],[f2135,f620]) ).
fof(f2209,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f42,f2208]) ).
fof(f2315,plain,
! [X0,X1] : join(meet(meet(X0,join(X1,X0)),X0),meet(meet(X0,join(X1,X0)),X0)) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f2209,f7]) ).
fof(f2316,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f561,f2315]) ).
fof(f2317,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f167,f2316]) ).
fof(f2374,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,meet(X1,join(X0,X1)))),X1) = meet(X1,join(X0,X1)),
inference(paramodulation,[status(thm)],[f2317,f32]) ).
fof(f2375,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X1)),X1) = meet(X1,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2317,f2374]) ).
fof(f2376,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f2317,f2375]) ).
fof(f2380,plain,
! [X0,X1] : join(join(X0,X1),X1) = join(X0,X1),
inference(paramodulation,[status(thm)],[f2317,f620]) ).
fof(f3263,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[status(thm)],[f2380,f42]) ).
fof(f3368,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1016,f3263]) ).
fof(f3449,plain,
! [X0,X1] : join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f3263,f7]) ).
fof(f3450,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f561,f3449]) ).
fof(f3632,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(paramodulation,[status(thm)],[f3368,f7]) ).
fof(f3633,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f561,f3632]) ).
fof(f3711,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f3633,f620]) ).
fof(f3786,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f3450,f620]) ).
fof(f3817,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f3786,f32]) ).
fof(f4071,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
inference(paramodulation,[status(thm)],[f3711,f2376]) ).
fof(f4597,plain,
! [X0,X1] : meet(meet(meet(X0,X1),meet(X1,X0)),meet(X0,X1)) = meet(meet(X1,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f3817,f3817]) ).
fof(f4598,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X1,X0)) = meet(meet(X1,X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f3450,f4597]) ).
fof(f4599,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3817,f4598]) ).
fof(f4600,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f3817,f4599]) ).
fof(f5121,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X0,X2))) = X0,
inference(forward_demodulation,[status(thm)],[f4600,f4071]) ).
fof(f5183,plain,
! [X0,X1] : join(join(X0,X1),meet(join(X0,X1),join(X1,X0))) = meet(join(X0,X1),join(X1,X0)),
inference(paramodulation,[status(thm)],[f5121,f41]) ).
fof(f5184,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3786,f5183]) ).
fof(f6223,plain,
! [X0,X1] : join(X0,X1) = meet(join(X1,X0),join(X0,X1)),
inference(paramodulation,[status(thm)],[f4600,f5184]) ).
fof(f6224,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f5184,f6223]) ).
fof(f6429,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f24,f6224]) ).
fof(f6430,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f6429]) ).
fof(f6603,plain,
( a != a
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f561,f21]) ).
fof(f6604,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f6603]) ).
fof(f6605,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f6604]) ).
fof(f6606,plain,
( a != a
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f311,f15]) ).
fof(f6607,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f6606]) ).
fof(f6608,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f6607]) ).
fof(f6609,plain,
( meet(a,b) != meet(a,b)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f4600,f18]) ).
fof(f6610,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f6609]) ).
fof(f6611,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f6610]) ).
fof(f6612,plain,
$false,
inference(sat_refutation,[status(thm)],[f25,f6430,f6605,f6608,f6611]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.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 : Mon Apr 29 19:52:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 1.62/0.58 % Refutation found
% 1.62/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.62/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.76/0.60 % Elapsed time: 0.243238 seconds
% 1.76/0.60 % CPU time: 1.814383 seconds
% 1.76/0.60 % Total memory used: 77.756 MB
% 1.76/0.60 % Net memory used: 76.727 MB
%------------------------------------------------------------------------------