TSTP Solution File: LAT022-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT022-1 : 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 235.03s 29.98s
% Output : CNFRefutation 236.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 9
% Syntax : Number of formulae : 122 ( 122 unt; 0 def)
% Number of atoms : 122 ( 121 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 348 ( 348 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [X,Y,Z] : join(meet(X,Y),meet(Z,join(X,Y))) = meet(join(X,Y),join(Z,meet(X,Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,join(X0,X1))) = meet(join(X0,X1),join(X2,meet(X0,X1))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f21,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f14,f17]) ).
fof(f22,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f13,f18]) ).
fof(f23,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f29,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f30,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f15,f29]) ).
fof(f33,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f43,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f33]) ).
fof(f71,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f43,f15]) ).
fof(f72,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(meet(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f15,f71]) ).
fof(f73,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X0,X2))),
inference(forward_demodulation,[status(thm)],[f15,f72]) ).
fof(f150,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f23]) ).
fof(f209,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,meet(X0,X1))),
inference(paramodulation,[status(thm)],[f23,f33]) ).
fof(f210,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f73,f209]) ).
fof(f731,plain,
! [X0,X1] : meet(X0,join(X0,meet(X0,X1))) = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f22]) ).
fof(f732,plain,
! [X0,X1,X2] : meet(join(meet(X0,X1),X0),meet(X0,join(X1,X2))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f733,plain,
! [X0,X1,X2] : meet(X0,meet(join(meet(X0,X1),X0),join(X1,X2))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f30,f732]) ).
fof(f734,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,meet(X0,X1)),join(X1,X2))) = join(meet(X0,X1),meet(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f14,f733]) ).
fof(f735,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,meet(X0,X1)),join(X1,X2))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f21,f734]) ).
fof(f739,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X1,X2),X0)) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f14,f22]) ).
fof(f741,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),meet(X0,X1)) = join(meet(X0,X1),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f22]) ).
fof(f742,plain,
! [X0,X1] : meet(X0,meet(X1,join(meet(X1,X0),X1))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f150,f741]) ).
fof(f743,plain,
! [X0,X1] : meet(X0,meet(X1,join(X1,meet(X1,X0)))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f742]) ).
fof(f744,plain,
! [X0,X1] : meet(X0,join(X1,meet(X1,X0))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f731,f743]) ).
fof(f745,plain,
! [X0,X1] : meet(X0,join(X1,meet(X1,X0))) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f12,f744]) ).
fof(f762,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f13,f22]) ).
fof(f828,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X1,join(X2,meet(X2,X1)))),
inference(paramodulation,[status(thm)],[f745,f22]) ).
fof(f829,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X1,join(X2,meet(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f762,f828]) ).
fof(f830,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f745,f829]) ).
fof(f1074,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f830]) ).
fof(f1122,plain,
! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X0,join(X1,meet(X2,X3)))) = meet(X0,join(X1,meet(X3,X2))),
inference(paramodulation,[status(thm)],[f830,f21]) ).
fof(f1123,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,X3))) = meet(X0,join(X1,meet(X3,X2))),
inference(forward_demodulation,[status(thm)],[f21,f1122]) ).
fof(f1799,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),X0)) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f1074,f22]) ).
fof(f2425,plain,
! [X0,X1] : meet(X0,join(meet(X0,X1),X0)) = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f739]) ).
fof(f2426,plain,
! [X0,X1] : meet(X0,join(X0,meet(X1,X0))) = join(X0,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1074,f2425]) ).
fof(f2529,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,meet(X1,X1)),
inference(paramodulation,[status(thm)],[f11,f739]) ).
fof(f2530,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f11,f2529]) ).
fof(f2830,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(X2,X1))) = meet(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f2530,f210]) ).
fof(f2831,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f2530,f2830]) ).
fof(f2868,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(join(X1,X0),X2)) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f2530,f150]) ).
fof(f2878,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(join(X0,X1),meet(join(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f2530,f15]) ).
fof(f2879,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2868,f2878]) ).
fof(f2897,plain,
! [X0,X1,X2,X3] : meet(X0,join(meet(X1,X2),X3)) = meet(X0,join(meet(X2,X1),X3)),
inference(paramodulation,[status(thm)],[f1074,f2831]) ).
fof(f2991,plain,
! [X0,X1,X2,X3] : meet(meet(X0,join(X1,X2)),X3) = meet(X0,meet(join(X2,X1),X3)),
inference(paramodulation,[status(thm)],[f2831,f15]) ).
fof(f2992,plain,
! [X0,X1,X2,X3] : meet(X0,meet(join(X1,X2),X3)) = meet(X0,meet(join(X2,X1),X3)),
inference(forward_demodulation,[status(thm)],[f15,f2991]) ).
fof(f3054,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),join(X2,X3)) = meet(join(X1,X0),join(X3,X2)),
inference(paramodulation,[status(thm)],[f2879,f2879]) ).
fof(f3090,plain,
! [X0,X1,X2,X3] : meet(join(X0,meet(X1,X2)),X3) = meet(X3,join(meet(X2,X1),X0)),
inference(paramodulation,[status(thm)],[f830,f2879]) ).
fof(f3130,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f13,f2879]) ).
fof(f3237,plain,
! [X0,X1,X2,X3] : meet(meet(X0,join(X1,X2)),X3) = meet(join(X2,X1),meet(X0,X3)),
inference(paramodulation,[status(thm)],[f2879,f15]) ).
fof(f3238,plain,
! [X0,X1,X2,X3] : meet(X0,meet(join(X1,X2),X3)) = meet(join(X2,X1),meet(X0,X3)),
inference(forward_demodulation,[status(thm)],[f15,f3237]) ).
fof(f3355,plain,
! [X0,X1,X2,X3] : join(meet(X0,meet(X1,X2)),meet(X3,join(meet(X0,X1),X2))) = meet(join(meet(X0,X1),X2),join(X3,meet(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f3356,plain,
! [X0,X1,X2,X3] : join(meet(X0,meet(X1,X2)),meet(X3,join(meet(X0,X1),X2))) = meet(join(meet(X0,X1),X2),join(X3,meet(X0,meet(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f3355]) ).
fof(f3380,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = meet(join(X0,X0),join(X1,meet(X0,X0))),
inference(paramodulation,[status(thm)],[f11,f19]) ).
fof(f3381,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(join(X0,X0),join(X1,meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f12,f3380]) ).
fof(f3382,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X1,meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f12,f3381]) ).
fof(f3383,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f11,f3382]) ).
fof(f3433,plain,
! [X0,X1,X2,X3] : join(meet(X0,X1),meet(X2,meet(X3,join(X0,X1)))) = meet(join(X0,X1),join(meet(X2,X3),meet(X0,X1))),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f3739,plain,
! [X0,X1] : meet(X0,meet(X0,join(X1,X0))) = join(X0,meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f3383,f2426]) ).
fof(f3740,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f33,f3739]) ).
fof(f3894,plain,
! [X0,X1,X2] : meet(X0,meet(meet(X0,join(X1,X0)),join(X1,X2))) = meet(X0,join(X1,X2)),
inference(backward_demodulation,[status(thm)],[f3740,f735]) ).
fof(f3895,plain,
! [X0,X1,X2] : meet(X0,meet(X0,meet(join(X1,X0),join(X1,X2)))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f15,f3894]) ).
fof(f3896,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X1,X2))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f33,f3895]) ).
fof(f4441,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = meet(X0,join(meet(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f15,f3383]) ).
fof(f6578,plain,
! [X0,X1,X2,X3] : meet(join(X0,meet(X1,X2)),X3) = meet(join(X0,meet(X2,X1)),X3),
inference(paramodulation,[status(thm)],[f1074,f3130]) ).
fof(f7183,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X0),X1)) = join(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f3130,f1799]) ).
fof(f13476,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(meet(X1,meet(X2,X3)),X4)) = meet(X0,join(meet(meet(X2,X1),X3),X4)),
inference(paramodulation,[status(thm)],[f150,f2897]) ).
fof(f13477,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(meet(X1,meet(X2,X3)),X4)) = meet(X0,join(meet(X2,meet(X1,X3)),X4)),
inference(forward_demodulation,[status(thm)],[f15,f13476]) ).
fof(f13480,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(meet(X1,meet(X2,X3)),X4)) = meet(X0,join(meet(meet(X1,X3),X2),X4)),
inference(paramodulation,[status(thm)],[f30,f2897]) ).
fof(f13481,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(meet(X1,meet(X2,X3)),X4)) = meet(X0,join(meet(X1,meet(X3,X2)),X4)),
inference(forward_demodulation,[status(thm)],[f15,f13480]) ).
fof(f16101,plain,
! [X0,X1,X2,X3,X4] : meet(join(X0,X1),join(meet(X1,join(meet(X2,X3),X4)),X0)) = join(X0,meet(X1,join(X4,meet(X3,X2)))),
inference(paramodulation,[status(thm)],[f3090,f1799]) ).
fof(f16102,plain,
! [X0,X1,X2,X3,X4] : join(X0,meet(X1,join(meet(X2,X3),X4))) = join(X0,meet(X1,join(X4,meet(X3,X2)))),
inference(forward_demodulation,[status(thm)],[f739,f16101]) ).
fof(f17470,plain,
! [X0,X1,X2,X3,X4] : meet(X0,meet(X1,meet(join(X2,X3),X4))) = meet(X1,meet(join(X3,X2),meet(X0,X4))),
inference(paramodulation,[status(thm)],[f3238,f30]) ).
fof(f22829,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),join(X1,X2))) = meet(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f2992,f3896]) ).
fof(f22855,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),join(X2,X1))) = meet(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f3054,f3896]) ).
fof(f37390,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,join(meet(meet(X0,X1),X0),X1))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(paramodulation,[status(thm)],[f11,f3356]) ).
fof(f37391,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,join(X1,meet(X0,meet(X0,X1))))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f16102,f37390]) ).
fof(f37392,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,meet(X1,join(meet(X0,X0),X1)))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f4441,f37391]) ).
fof(f37393,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X2,meet(X1,join(X0,X1)))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f11,f37392]) ).
fof(f37394,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(join(meet(meet(X0,X1),X0),X1),join(X2,meet(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f3433,f37393]) ).
fof(f37395,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(join(X1,meet(meet(X0,X1),X0)),join(meet(meet(X0,X1),meet(X0,X1)),X2)),
inference(forward_demodulation,[status(thm)],[f3054,f37394]) ).
fof(f37396,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(join(X1,meet(X0,meet(X0,X1))),join(meet(meet(X0,X1),meet(X0,X1)),X2)),
inference(forward_demodulation,[status(thm)],[f6578,f37395]) ).
fof(f37397,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(join(X1,meet(X0,meet(X0,X1))),join(meet(X0,meet(meet(X0,X1),X1)),X2)),
inference(forward_demodulation,[status(thm)],[f13477,f37396]) ).
fof(f37398,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(join(X1,meet(X0,meet(X0,X1))),join(meet(X0,meet(X1,meet(X0,X1))),X2)),
inference(forward_demodulation,[status(thm)],[f13481,f37397]) ).
fof(f37399,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(meet(X1,join(meet(X0,X0),X1)),join(meet(X0,meet(X1,meet(X0,X1))),X2)),
inference(forward_demodulation,[status(thm)],[f4441,f37398]) ).
fof(f37400,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(X1,meet(join(meet(X0,X0),X1),join(meet(X0,meet(X1,meet(X0,X1))),X2))),
inference(forward_demodulation,[status(thm)],[f15,f37399]) ).
fof(f37401,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(X1,meet(join(X0,X1),join(meet(X0,meet(X1,meet(X0,X1))),X2))),
inference(forward_demodulation,[status(thm)],[f11,f37400]) ).
fof(f37402,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(X1,meet(join(X0,X1),join(meet(X0,meet(X1,X1)),X2))),
inference(forward_demodulation,[status(thm)],[f73,f37401]) ).
fof(f37403,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X2,X1),meet(X0,X1))) = meet(X1,meet(join(X0,X1),join(meet(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f11,f37402]) ).
fof(f42677,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X0)),join(meet(X2,X0),meet(X0,X1))) = join(meet(X0,X1),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f3740,f7183]) ).
fof(f42678,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(meet(X2,X0),meet(X0,X1)))) = join(meet(X0,X1),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f15,f42677]) ).
fof(f42679,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X0)),join(meet(X2,X0),meet(X1,X0))) = join(meet(X1,X0),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f3383,f7183]) ).
fof(f42680,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(meet(X2,X0),meet(X1,X0)))) = join(meet(X1,X0),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f15,f42679]) ).
fof(f42681,plain,
! [X0,X1,X2] : meet(X0,meet(X0,meet(join(X1,X0),join(meet(X1,X0),X2)))) = join(meet(X1,X0),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f37403,f42680]) ).
fof(f42682,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(meet(X1,X0),X2))) = join(meet(X1,X0),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f33,f42681]) ).
fof(f44692,plain,
! [X0,X1,X2] : meet(X0,meet(meet(X0,join(X1,X0)),join(meet(X1,X0),X2))) = meet(X0,join(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f3383,f22829]) ).
fof(f44693,plain,
! [X0,X1,X2] : meet(X0,meet(X0,meet(join(X1,X0),join(meet(X1,X0),X2)))) = meet(X0,join(meet(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f15,f44692]) ).
fof(f44694,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(meet(X1,X0),X2))) = meet(X0,join(meet(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f33,f44693]) ).
fof(f44695,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f42682,f44694]) ).
fof(f45410,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),meet(X0,join(meet(X2,X0),X1)))) = join(meet(X0,X1),meet(X0,X2)),
inference(backward_demodulation,[status(thm)],[f44695,f42678]) ).
fof(f45411,plain,
! [X0,X1,X2] : meet(X0,meet(X0,meet(join(X0,X1),join(meet(X2,X0),X1)))) = join(meet(X0,X1),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17470,f45410]) ).
fof(f45412,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),join(meet(X2,X0),X1))) = join(meet(X0,X1),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f33,f45411]) ).
fof(f45413,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X0,X1),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22855,f45412]) ).
fof(f45449,plain,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,a))),
inference(backward_demodulation,[status(thm)],[f45413,f20]) ).
fof(f45450,plain,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(a,c))),
inference(forward_demodulation,[status(thm)],[f1123,f45449]) ).
fof(f45451,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f45450]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT022-1 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % 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 : Mon Apr 29 19:48:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 235.03/29.98 % Refutation found
% 235.03/29.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 235.03/29.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 236.66/30.29 % Elapsed time: 29.903169 seconds
% 236.66/30.29 % CPU time: 236.510548 seconds
% 236.66/30.29 % Total memory used: 898.229 MB
% 236.66/30.29 % Net memory used: 889.374 MB
%------------------------------------------------------------------------------