TSTP Solution File: LAT143-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT143-1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Wed May 31 12:16:58 EDT 2023
% Result : Unsatisfiable 26.78s 4.34s
% Output : CNFRefutation 26.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 77 ( 77 unt; 0 def)
% Number of atoms : 77 ( 76 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 186 (; 186 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : join(meet(X,Y),meet(Y,Z)) = join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = join(meet(X0,X1),meet(X1,join(meet(X0,X1),meet(X2,join(X0,X1))))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f27,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f25]) ).
fof(f28,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f27]) ).
fof(f33,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f37,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f33]) ).
fof(f38,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f15,f37]) ).
fof(f50,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f16,f28]) ).
fof(f52,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f28,f33]) ).
fof(f152,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f153,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f169,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f170,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f169]) ).
fof(f233,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f243,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(join(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f28,f18]) ).
fof(f244,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(join(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f18,f243]) ).
fof(f245,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X1,join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f18,f244]) ).
fof(f379,plain,
! [X0,X1,X2,X3] : join(meet(join(X0,X1),X2),meet(X2,X3)) = join(meet(join(X0,X1),X2),meet(X2,join(meet(join(X0,X1),X2),meet(X3,join(X0,join(X1,X2)))))),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f400,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = join(meet(X0,X1),meet(X1,join(meet(X0,X1),meet(X2,join(X1,X0))))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f618,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(X1,X0))) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f52,f153]) ).
fof(f740,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f233]) ).
fof(f841,plain,
! [X0,X1,X2] : join(X0,join(X1,join(X0,X2))) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f233,f50]) ).
fof(f842,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f245,f841]) ).
fof(f871,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(join(X1,X2),meet(X0,join(X2,X1))),
inference(paramodulation,[status(thm)],[f52,f170]) ).
fof(f872,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f618,f871]) ).
fof(f2848,plain,
! [X0,X1,X2] : join(meet(X0,join(meet(X1,X0),X2)),meet(X1,X0)) = meet(X0,join(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f152,f25]) ).
fof(f2849,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,join(meet(X0,X1),X2))) = meet(X1,join(meet(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f16,f2848]) ).
fof(f2854,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X2,join(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f2849,f19]) ).
fof(f2855,plain,
! [X0,X1,X2,X3] : join(meet(join(X0,X1),X2),meet(X2,X3)) = meet(X2,join(meet(join(X0,X1),X2),meet(X3,join(X0,join(X1,X2))))),
inference(backward_demodulation,[status(thm)],[f2849,f379]) ).
fof(f2864,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X2,join(X1,X0)))),
inference(backward_demodulation,[status(thm)],[f2849,f400]) ).
fof(f3013,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,join(meet(X0,X1),X0)),
inference(paramodulation,[status(thm)],[f13,f2854]) ).
fof(f3014,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,join(X0,meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f872,f3013]) ).
fof(f3015,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f14,f3014]) ).
fof(f3073,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,join(meet(X0,X1),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f2854,f152]) ).
fof(f3091,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),meet(X0,X2))) = meet(X0,join(meet(X1,X0),meet(X2,join(X1,X0)))),
inference(paramodulation,[status(thm)],[f2854,f38]) ).
fof(f3092,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),meet(X0,X2))) = join(meet(X1,X0),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f2854,f3091]) ).
fof(f3523,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X2),meet(X2,X1))) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f3015,f842]) ).
fof(f3524,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3015,f3523]) ).
fof(f3531,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(X1,X0),X2)) = join(X2,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f3015,f740]) ).
fof(f3543,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(meet(X1,X0),join(meet(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f3015,f18]) ).
fof(f3544,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3531,f3543]) ).
fof(f3768,plain,
! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,X3)) = join(meet(X1,X0),meet(X3,X2)),
inference(paramodulation,[status(thm)],[f3544,f3544]) ).
fof(f3769,plain,
! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,X3)) = join(meet(X3,X2),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f3524,f3544]) ).
fof(f3841,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(meet(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f3544]) ).
fof(f6276,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,join(meet(X2,X1),meet(X0,X1))),
inference(paramodulation,[status(thm)],[f3544,f3073]) ).
fof(f6544,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,join(meet(X1,X0),meet(X2,X1))),
inference(paramodulation,[status(thm)],[f3544,f6276]) ).
fof(f8038,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(meet(join(X1,X2),X0),X1)),
inference(paramodulation,[status(thm)],[f13,f6544]) ).
fof(f8039,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(join(X1,X2),X0))),
inference(forward_demodulation,[status(thm)],[f872,f8038]) ).
fof(f11604,plain,
! [X0,X1,X2] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = join(meet(X1,X0),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f3841,f3092]) ).
fof(f12096,plain,
join(meet(b,a),meet(a,c)) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
inference(backward_demodulation,[status(thm)],[f11604,f20]) ).
fof(f12097,plain,
join(meet(a,b),meet(c,a)) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
inference(forward_demodulation,[status(thm)],[f3768,f12096]) ).
fof(f12098,plain,
join(meet(a,b),meet(a,c)) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
inference(forward_demodulation,[status(thm)],[f3524,f12097]) ).
fof(f16037,plain,
! [X0,X1,X2] : join(meet(join(X0,X1),X2),meet(X2,X0)) = meet(X2,join(meet(join(X0,X1),X2),X0)),
inference(paramodulation,[status(thm)],[f13,f2855]) ).
fof(f16038,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,join(X0,X2))) = meet(X1,join(meet(join(X0,X2),X1),X0)),
inference(forward_demodulation,[status(thm)],[f3769,f16037]) ).
fof(f16039,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,join(X0,X2))) = meet(X1,join(X0,meet(join(X0,X2),X1))),
inference(forward_demodulation,[status(thm)],[f872,f16038]) ).
fof(f16040,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,join(X0,X2))) = meet(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f8039,f16039]) ).
fof(f16508,plain,
join(meet(a,b),meet(a,c)) != meet(a,join(meet(a,b),meet(c,join(a,b)))),
inference(backward_demodulation,[status(thm)],[f16040,f12098]) ).
fof(f25519,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X1,X0),meet(X2,join(X1,X0)))),
inference(paramodulation,[status(thm)],[f3841,f2864]) ).
fof(f26551,plain,
join(meet(a,b),meet(a,c)) != join(meet(b,a),meet(a,c)),
inference(backward_demodulation,[status(thm)],[f25519,f16508]) ).
fof(f26552,plain,
join(meet(a,b),meet(a,c)) != join(meet(a,b),meet(c,a)),
inference(forward_demodulation,[status(thm)],[f3768,f26551]) ).
fof(f26553,plain,
join(meet(a,b),meet(a,c)) != join(meet(a,b),meet(a,c)),
inference(forward_demodulation,[status(thm)],[f3524,f26552]) ).
fof(f26554,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f26553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT143-1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.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 May 30 09:26:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 26.78/4.34 % Refutation found
% 26.78/4.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.78/4.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.39/4.41 % Elapsed time: 4.048269 seconds
% 27.39/4.41 % CPU time: 27.168651 seconds
% 27.39/4.41 % Memory used: 150.645 MB
%------------------------------------------------------------------------------