TSTP Solution File: SYO666-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYO666-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:54:42 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 8 unt; 0 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 331 ( 164 ~; 167 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B_96,B_97,E,A_2,B_98,B_94,B_95] :
( ~ iLEQ(suc(B_96),suc(B_97))
| ~ 'E'('0',f(suc(A_2)))
| ~ 'E'('0',f(suc(B_96)))
| ~ iLEQ(suc(B_97),suc(B_98))
| ~ 'E'('0',f(suc(B_97)))
| ~ 'E'('0',f(A_2))
| ~ 'E'('0',f(suc(B_94)))
| ~ 'E'('0',f(B_97))
| ~ iLEQ(suc(B_95),suc(B_96))
| ~ 'E'('0',f(B_96))
| ~ iLEQ(suc(B_94),suc(B_95))
| ~ 'E'('0',f(suc(B_98)))
| ~ 'E'('0',f(B_94))
| ~ iLEQ(suc(A_2),suc(B_94))
| ~ 'E'('0',f(suc(B_95)))
| ~ 'E'('0',f(B_98))
| ~ 'E'('0',f(B_95)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E,A_2] :
( ~ 'E'('0',f(A_2))
| ~ 'E'('0',f(suc(A_2)))
| iLEQ(suc(A_2),suc(A_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [LE] : ~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [LE,B_93,E] :
( ~ 'LE'(f(suc(B_93)),s('0'))
| 'E'('0',f(suc(B_93)))
| 'LE'(f(B_93),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [LE,B_93,E] :
( ~ 'LE'(f(B_93),s('0'))
| 'E'('0',f(B_93))
| 'LE'(f(B_93),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [LE,A] : 'LE'(f(A),s(s('0'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [E,A_1] :
( ~ 'E'(s('0'),f(A_1))
| ~ 'E'(s('0'),f(suc(A_1)))
| iLEQ(suc(A_1),suc(A_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [LE,B_68,E] :
( ~ 'LE'(f(suc(B_68)),s(s('0')))
| 'E'(s('0'),f(suc(B_68)))
| 'LE'(f(B_68),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [LE,B_68,E] :
( ~ 'LE'(f(B_68),s(s('0')))
| 'E'(s('0'),f(B_68))
| 'LE'(f(B_68),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [E,B_69,B_71,B_72,A_1,B_70,B_73] :
( ~ 'E'(s('0'),f(B_69))
| ~ iLEQ(suc(B_71),suc(B_72))
| ~ 'E'(s('0'),f(A_1))
| ~ 'E'(s('0'),f(suc(A_1)))
| ~ iLEQ(suc(B_70),suc(B_71))
| ~ 'E'(s('0'),f(B_71))
| ~ 'E'(s('0'),f(suc(B_71)))
| ~ iLEQ(suc(B_69),suc(B_70))
| ~ 'E'(s('0'),f(suc(B_69)))
| ~ iLEQ(suc(B_72),suc(B_73))
| ~ 'E'(s('0'),f(suc(B_70)))
| ~ 'E'(s('0'),f(B_73))
| ~ 'E'(s('0'),f(suc(B_72)))
| ~ iLEQ(suc(A_1),suc(B_69))
| ~ 'E'(s('0'),f(B_70))
| ~ 'E'(s('0'),f(B_72))
| ~ 'E'(s('0'),f(suc(B_73))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [B_95] :
( ! [B_98] :
( ! [A_2,B_94] :
( ! [B_96] :
( ! [B_97] :
( ~ iLEQ(suc(B_96),suc(B_97))
| ~ 'E'('0',f(suc(A_2)))
| ~ 'E'('0',f(suc(B_96)))
| ~ iLEQ(suc(B_97),suc(B_98))
| ~ 'E'('0',f(suc(B_97)))
| ~ 'E'('0',f(A_2))
| ~ 'E'('0',f(suc(B_94)))
| ~ 'E'('0',f(B_97)) )
| ~ iLEQ(suc(B_95),suc(B_96))
| ~ 'E'('0',f(B_96)) )
| ~ iLEQ(suc(B_94),suc(B_95))
| ~ 'E'('0',f(suc(B_98)))
| ~ 'E'('0',f(B_94))
| ~ iLEQ(suc(A_2),suc(B_94)) )
| ~ 'E'('0',f(suc(B_95)))
| ~ 'E'('0',f(B_98)) )
| ~ 'E'('0',f(B_95)) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0,X1,E,X2,X3,X4,X5] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X5),suc(X0))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X4))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(X5)) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,plain,
! [A_2] :
( ~ 'E'('0',f(A_2))
| ~ 'E'('0',f(suc(A_2)))
| iLEQ(suc(A_2),suc(A_2)) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f14,plain,
! [E,X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
! [LE] : ~ 'LE'(f(z),'0'),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [B_93] :
( ~ 'LE'(f(suc(B_93)),s('0'))
| 'E'('0',f(suc(B_93)))
| 'LE'(f(B_93),'0') ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f17,plain,
! [LE,X0,E] :
( ~ 'LE'(f(suc(X0)),s('0'))
| 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [B_93] :
( ~ 'LE'(f(B_93),s('0'))
| 'E'('0',f(B_93))
| 'LE'(f(B_93),'0') ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f19,plain,
! [LE,X0,E] :
( ~ 'LE'(f(X0),s('0'))
| 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f20,plain,
! [A] : 'LE'(f(A),s(s('0'))),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f21,plain,
! [LE,X0] : 'LE'(f(X0),s(s('0'))),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f22,plain,
! [A_1] :
( ~ 'E'(s('0'),f(A_1))
| ~ 'E'(s('0'),f(suc(A_1)))
| iLEQ(suc(A_1),suc(A_1)) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f23,plain,
! [E,X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [B_68] :
( ~ 'LE'(f(suc(B_68)),s(s('0')))
| 'E'(s('0'),f(suc(B_68)))
| 'LE'(f(B_68),s('0')) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f25,plain,
! [LE,X0,E] :
( ~ 'LE'(f(suc(X0)),s(s('0')))
| 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
! [B_68] :
( ~ 'LE'(f(B_68),s(s('0')))
| 'E'(s('0'),f(B_68))
| 'LE'(f(B_68),s('0')) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f27,plain,
! [LE,X0,E] :
( ~ 'LE'(f(X0),s(s('0')))
| 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [B_73] :
( ! [B_72] :
( ! [B_70] :
( ! [B_69,A_1] :
( ! [B_71] :
( ~ 'E'(s('0'),f(B_69))
| ~ iLEQ(suc(B_71),suc(B_72))
| ~ 'E'(s('0'),f(A_1))
| ~ 'E'(s('0'),f(suc(A_1)))
| ~ iLEQ(suc(B_70),suc(B_71))
| ~ 'E'(s('0'),f(B_71))
| ~ 'E'(s('0'),f(suc(B_71))) )
| ~ iLEQ(suc(B_69),suc(B_70))
| ~ 'E'(s('0'),f(suc(B_69)))
| ~ iLEQ(suc(B_72),suc(B_73))
| ~ 'E'(s('0'),f(suc(B_70)))
| ~ 'E'(s('0'),f(B_73))
| ~ 'E'(s('0'),f(suc(B_72)))
| ~ iLEQ(suc(A_1),suc(B_69)) )
| ~ 'E'(s('0'),f(B_70)) )
| ~ 'E'(s('0'),f(B_72)) )
| ~ 'E'(s('0'),f(suc(B_73))) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f29,plain,
! [E,X0,X1,X2,X3,X4,X5] :
( ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(X4),suc(X1))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X4))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X5))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ iLEQ(suc(X3),suc(X0))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X5))) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [E,X0,LE] :
( 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f21]) ).
fof(f31,plain,
! [E,X0,LE] :
( 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
inference(forward_subsumption_resolution,[status(thm)],[f27,f21]) ).
fof(f36,plain,
! [E,X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) ),
inference(resolution,[status(thm)],[f12,f14]) ).
fof(f37,plain,
! [E,X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f36]) ).
fof(f68,plain,
! [E,X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[status(thm)],[f29,f23]) ).
fof(f69,plain,
! [E,X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f68]) ).
fof(f95,plain,
! [E,X0,LE] :
( ~ 'E'('0',f(X0))
| ~ 'LE'(f(suc(X0)),s('0'))
| 'LE'(f(X0),'0') ),
inference(resolution,[status(thm)],[f37,f17]) ).
fof(f96,plain,
! [E,X0,LE] :
( ~ 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[status(thm)],[f69,f30]) ).
fof(f97,plain,
! [LE,X0] : 'LE'(f(X0),s('0')),
inference(forward_subsumption_resolution,[status(thm)],[f96,f31]) ).
fof(f99,plain,
! [E,X0,LE] :
( 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
inference(backward_subsumption_resolution,[status(thm)],[f19,f97]) ).
fof(f102,plain,
! [E,X0,LE] :
( ~ 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
inference(backward_subsumption_resolution,[status(thm)],[f95,f97]) ).
fof(f103,plain,
! [LE,X0] : 'LE'(f(X0),'0'),
inference(forward_subsumption_resolution,[status(thm)],[f102,f99]) ).
fof(f104,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f15,f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO666-1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 21:27:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.015054 seconds
% 0.14/0.37 % CPU time: 0.038686 seconds
% 0.14/0.37 % Total memory used: 1.217 MB
% 0.14/0.37 % Net memory used: 1.134 MB
%------------------------------------------------------------------------------