TSTP Solution File: BOO109+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : BOO109+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : 600s
% DateTime : Thu Jul 14 23:38:20 EDT 2022
% Result : Theorem 1.09s 154.28s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 3
% Syntax : Number of formulae : 120 ( 81 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 89 ( 45 ~; 42 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 349 ( 60 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(modus_ponens_for_nand,axiom,
! [X5,X6,X7] :
( ( p(nand(X5,nand(X6,X7)))
& p(X5) )
=> p(X7) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',modus_ponens_for_nand) ).
fof(wajsbergs_axiom,axiom,
! [X1,X2,X3,X4] : p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X4,X3),nand(nand(X1,X4),nand(X1,X4))),nand(X1,nand(X1,X2))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',wajsbergs_axiom) ).
fof(tautology,conjecture,
! [X1,X2] : p(nand(nand(X1,nand(X2,X2)),nand(nand(nand(X2,X2),nand(nand(X1,X1),nand(X1,X1))),nand(nand(X2,X2),nand(nand(X1,X1),nand(X1,X1)))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tautology) ).
fof(c_0_3,plain,
! [X8,X9,X10] :
( ~ p(nand(X8,nand(X9,X10)))
| ~ p(X8)
| p(X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[modus_ponens_for_nand])]) ).
fof(c_0_4,plain,
! [X5,X6,X7,X8] : p(nand(nand(X5,nand(X6,X7)),nand(nand(nand(X8,X7),nand(nand(X5,X8),nand(X5,X8))),nand(X5,nand(X5,X6))))),
inference(variable_rename,[status(thm)],[wajsbergs_axiom]) ).
cnf(c_0_5,plain,
( p(X1)
| ~ p(X2)
| ~ p(nand(X2,nand(X3,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X4,X3),nand(nand(X1,X4),nand(X1,X4))),nand(X1,nand(X1,X2))))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( p(nand(X1,nand(X1,X2)))
| ~ p(nand(X1,nand(X2,X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(X1,nand(X2,X3)),nand(nand(X4,X3),nand(nand(X1,X4),nand(X1,X4)))))),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_9,plain,
( p(nand(nand(X1,X2),nand(nand(X3,X1),nand(X3,X1))))
| ~ p(nand(X3,nand(X4,X2))) ),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_10,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(X1,nand(X2,X3)),nand(X1,nand(X2,X3))))),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
p(nand(nand(X1,nand(X2,nand(X3,X4))),nand(nand(nand(X2,nand(X3,X4)),X1),nand(nand(X2,nand(X3,X4)),X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
p(nand(nand(X1,nand(X2,nand(X2,X3))),nand(nand(nand(X2,nand(X3,X4)),X1),nand(nand(X2,nand(X3,X4)),X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_13,plain,
( p(nand(nand(X1,nand(X2,X3)),X4))
| ~ p(nand(X4,nand(X1,nand(X2,X3)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_11]) ).
cnf(c_0_14,plain,
( p(nand(nand(X1,nand(X2,X3)),X4))
| ~ p(nand(X4,nand(X1,nand(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_12]) ).
cnf(c_0_15,plain,
p(nand(nand(nand(X1,nand(X2,X3)),nand(X1,nand(X2,X3))),nand(X1,nand(X2,X3)))),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_16,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(X1,nand(X1,X2)),nand(X1,nand(X1,X2))))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
p(nand(nand(X1,nand(X2,nand(X2,X3))),nand(nand(X1,nand(X2,nand(X2,X3))),nand(nand(X2,nand(X3,X4)),X1)))),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_18,plain,
p(nand(nand(nand(X1,nand(X1,X2)),nand(X1,nand(X1,X2))),nand(X1,nand(X2,X3)))),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_19,plain,
p(nand(nand(nand(X1,nand(X1,nand(X1,X1))),nand(X1,X2)),nand(X1,nand(X1,nand(X1,X1))))),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_20,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(X1,nand(X1,X1)),nand(X1,nand(X1,X1))))),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_21,plain,
p(nand(nand(nand(X1,nand(X1,nand(X1,X1))),nand(X1,X2)),nand(nand(nand(X1,nand(X1,nand(X1,X1))),nand(X1,X2)),X1))),
inference(spm,[status(thm)],[c_0_7,c_0_19]) ).
cnf(c_0_22,plain,
p(nand(nand(nand(nand(X1,nand(X2,X3)),X4),nand(nand(X1,nand(X2,X3)),X4)),nand(X4,nand(X1,nand(X2,X3))))),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_23,plain,
( p(nand(X1,nand(X1,X1)))
| ~ p(nand(X1,nand(X2,X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_20]) ).
cnf(c_0_24,plain,
p(nand(nand(X1,X2),nand(nand(nand(nand(X2,nand(X2,nand(X2,X2))),nand(X2,X3)),X1),nand(nand(nand(X2,nand(X2,nand(X2,X2))),nand(X2,X3)),X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_21]) ).
cnf(c_0_25,plain,
p(nand(nand(X1,nand(nand(X2,X3),X4)),nand(nand(nand(X1,nand(X2,X3)),X1),nand(nand(X1,nand(X2,X3)),X1)))),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_26,plain,
p(nand(nand(X1,X2),nand(nand(X1,X2),nand(X1,X2)))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
p(nand(nand(X1,nand(nand(X1,X1),X2)),nand(nand(X1,nand(X1,nand(X1,X1))),nand(X1,X3)))),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_28,plain,
p(nand(nand(nand(nand(X1,nand(X2,X3)),X1),nand(nand(X1,nand(X2,X3)),X1)),nand(X1,nand(nand(X2,X3),X4)))),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_29,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X2,X3),X1),nand(nand(X2,X3),X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_26]) ).
cnf(c_0_30,plain,
p(nand(nand(nand(X1,X2),nand(X1,X2)),nand(X1,X2))),
inference(spm,[status(thm)],[c_0_13,c_0_26]) ).
cnf(c_0_31,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X2,nand(nand(X2,X2),X4)),X1),nand(nand(X2,nand(nand(X2,X2),X4)),X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_27]) ).
cnf(c_0_32,plain,
p(nand(nand(nand(X1,X2),nand(X3,X4)),nand(nand(nand(nand(X1,X2),nand(X1,X2)),nand(X1,X2)),nand(nand(nand(X1,X2),nand(X1,X2)),nand(X1,X2))))),
inference(spm,[status(thm)],[c_0_14,c_0_28]) ).
cnf(c_0_33,plain,
( p(nand(nand(X1,X2),X3))
| ~ p(nand(X3,nand(X1,X2))) ),
inference(spm,[status(thm)],[c_0_5,c_0_29]) ).
cnf(c_0_34,plain,
p(nand(nand(nand(X1,X2),nand(X1,X2)),nand(nand(nand(X1,X2),nand(X1,X2)),X1))),
inference(spm,[status(thm)],[c_0_7,c_0_30]) ).
cnf(c_0_35,plain,
p(nand(nand(nand(nand(X1,nand(nand(X1,X1),X2)),X3),nand(nand(X1,nand(nand(X1,X1),X2)),X3)),nand(X3,nand(X1,X4)))),
inference(spm,[status(thm)],[c_0_13,c_0_31]) ).
cnf(c_0_36,plain,
p(nand(nand(nand(X1,X2),nand(X3,X4)),nand(nand(nand(X1,X2),nand(X3,X4)),nand(nand(nand(X1,X2),nand(X1,X2)),nand(X1,X2))))),
inference(spm,[status(thm)],[c_0_7,c_0_32]) ).
cnf(c_0_37,plain,
p(nand(nand(nand(nand(X1,X2),nand(X1,X2)),X1),nand(nand(X1,X2),nand(X1,X2)))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X1,nand(nand(X1,X1),X4)),X1),nand(nand(X1,nand(nand(X1,X1),X4)),X1)))),
inference(spm,[status(thm)],[c_0_14,c_0_35]) ).
cnf(c_0_39,plain,
p(nand(nand(nand(nand(X1,X2),nand(X1,X2)),nand(nand(X1,X2),X3)),nand(nand(X1,X2),nand(X1,X2)))),
inference(spm,[status(thm)],[c_0_14,c_0_36]) ).
cnf(c_0_40,plain,
p(nand(nand(X1,X2),nand(nand(nand(nand(X3,X2),nand(X3,X2)),X1),nand(nand(nand(X3,X2),nand(X3,X2)),X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_30]) ).
cnf(c_0_41,plain,
( p(nand(X1,X2))
| ~ p(nand(nand(nand(X1,X2),nand(X1,X2)),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_37]) ).
cnf(c_0_42,plain,
p(nand(nand(nand(nand(X1,nand(nand(X1,X1),X2)),X1),nand(nand(X1,nand(nand(X1,X1),X2)),X1)),nand(X1,nand(X3,X4)))),
inference(spm,[status(thm)],[c_0_13,c_0_38]) ).
cnf(c_0_43,plain,
( p(nand(X1,X2))
| ~ p(nand(nand(nand(X1,X2),nand(X1,X2)),nand(nand(X1,X2),X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_39]) ).
cnf(c_0_44,plain,
( p(nand(nand(nand(X1,X2),nand(X1,X2)),X3))
| ~ p(nand(X3,X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_40]) ).
cnf(c_0_45,plain,
p(nand(nand(X1,nand(nand(X1,X1),X2)),X1)),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
( p(nand(X1,X2))
| ~ p(nand(nand(nand(X1,X2),X3),X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
p(nand(nand(X1,X2),nand(nand(X1,X2),nand(nand(nand(X1,X2),nand(X1,X2)),X3)))),
inference(spm,[status(thm)],[c_0_33,c_0_45]) ).
cnf(c_0_48,plain,
( p(nand(X1,X2))
| ~ p(nand(X2,X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_49,plain,
( p(nand(nand(nand(X1,X2),nand(X1,X2)),X3))
| ~ p(nand(X1,X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_47]) ).
cnf(c_0_50,plain,
( p(nand(X1,nand(nand(X2,X3),nand(X2,X3))))
| ~ p(nand(X2,X3)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,plain,
( p(nand(X1,nand(X1,X1)))
| ~ p(nand(X2,X3)) ),
inference(spm,[status(thm)],[c_0_23,c_0_50]) ).
cnf(c_0_52,plain,
p(nand(X1,nand(X1,X1))),
inference(spm,[status(thm)],[c_0_51,c_0_6]) ).
cnf(c_0_53,plain,
p(nand(nand(X1,X2),nand(nand(X2,X1),nand(X2,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_52]) ).
cnf(c_0_54,plain,
( p(nand(X1,X2))
| ~ p(nand(X2,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_53]) ).
cnf(c_0_55,plain,
p(nand(nand(nand(nand(X1,X2),X3),nand(nand(X1,X2),X3)),nand(X3,nand(X1,X2)))),
inference(spm,[status(thm)],[c_0_33,c_0_29]) ).
cnf(c_0_56,plain,
p(nand(X1,nand(X1,nand(nand(X1,X1),X2)))),
inference(spm,[status(thm)],[c_0_54,c_0_45]) ).
cnf(c_0_57,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X1,X2),X1),nand(nand(X1,X2),X1)))),
inference(spm,[status(thm)],[c_0_14,c_0_55]) ).
cnf(c_0_58,plain,
( p(nand(nand(X1,X1),X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_56]) ).
cnf(c_0_59,plain,
( p(nand(nand(X1,X2),X1))
| ~ p(nand(X1,nand(X2,X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_57]) ).
cnf(c_0_60,plain,
( p(nand(X1,nand(X2,X2)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_58]) ).
cnf(c_0_61,plain,
p(nand(nand(X1,nand(nand(X2,X2),X3)),nand(nand(X2,X1),nand(X2,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_56]) ).
cnf(c_0_62,plain,
( p(nand(nand(X1,X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,plain,
( p(nand(X1,X2))
| ~ p(nand(X2,nand(nand(X1,X1),X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_61]) ).
cnf(c_0_64,plain,
p(nand(nand(nand(X1,X2),nand(X1,X2)),nand(X2,X1))),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_65,plain,
( p(X1)
| ~ p(nand(nand(X2,X1),X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_62]) ).
cnf(c_0_66,plain,
p(nand(X1,nand(nand(X2,nand(X1,X1)),nand(X2,nand(X1,X1))))),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,plain,
p(nand(nand(nand(nand(X1,X2),X1),nand(nand(X1,X2),X1)),nand(X1,nand(X2,X3)))),
inference(spm,[status(thm)],[c_0_33,c_0_57]) ).
cnf(c_0_68,plain,
( p(nand(X1,X2))
| ~ p(nand(X3,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_44]) ).
cnf(c_0_69,plain,
p(nand(nand(X1,nand(X2,nand(X1,X1))),X1)),
inference(spm,[status(thm)],[c_0_59,c_0_66]) ).
cnf(c_0_70,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X1,X1),X1),nand(nand(X1,X1),X1)))),
inference(spm,[status(thm)],[c_0_14,c_0_67]) ).
cnf(c_0_71,plain,
p(nand(nand(nand(X1,X2),nand(X2,X1)),nand(X1,X2))),
inference(spm,[status(thm)],[c_0_59,c_0_53]) ).
cnf(c_0_72,plain,
( p(nand(X1,X2))
| ~ p(nand(X2,nand(X3,nand(X2,X2)))) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,plain,
p(nand(nand(nand(nand(X1,X1),X1),nand(nand(X1,X1),X1)),nand(X1,nand(X2,X3)))),
inference(spm,[status(thm)],[c_0_33,c_0_70]) ).
cnf(c_0_74,plain,
p(nand(X1,nand(nand(nand(X1,X1),X2),nand(X2,nand(X1,X1))))),
inference(spm,[status(thm)],[c_0_63,c_0_71]) ).
cnf(c_0_75,plain,
p(nand(X1,nand(nand(nand(X2,X2),X2),nand(nand(X2,X2),X2)))),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
p(nand(nand(X1,nand(X2,nand(X3,X3))),nand(nand(X3,X1),nand(X3,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_74]) ).
cnf(c_0_77,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(X1,nand(X2,X3)),nand(X1,nand(X1,X2))))),
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_78,plain,
p(nand(X1,nand(X1,nand(nand(X2,X2),X2)))),
inference(spm,[status(thm)],[c_0_7,c_0_75]) ).
cnf(c_0_79,plain,
( p(nand(X1,X2))
| ~ p(nand(X2,nand(X3,nand(X1,X1)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_76]) ).
cnf(c_0_80,plain,
p(nand(nand(nand(X1,nand(X2,X3)),nand(X1,nand(X1,X2))),nand(X1,nand(X2,X3)))),
inference(spm,[status(thm)],[c_0_13,c_0_77]) ).
cnf(c_0_81,plain,
( p(X1)
| ~ p(nand(nand(X2,X1),nand(nand(X3,X3),X3))) ),
inference(spm,[status(thm)],[c_0_65,c_0_78]) ).
cnf(c_0_82,plain,
p(nand(nand(nand(nand(nand(X1,X2),nand(X1,X2)),X3),nand(nand(nand(X1,X2),nand(X1,X2)),X3)),nand(X3,X2))),
inference(spm,[status(thm)],[c_0_33,c_0_40]) ).
cnf(c_0_83,plain,
p(nand(nand(nand(nand(X1,X2),nand(nand(X3,X1),nand(X3,X1))),nand(X3,nand(X3,X4))),nand(X3,nand(X4,X2)))),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_84,plain,
p(nand(X1,nand(nand(X2,nand(X1,X1)),nand(X2,nand(X2,X1))))),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,plain,
p(nand(X1,nand(nand(nand(X2,X1),X2),nand(nand(X2,X1),X2)))),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
cnf(c_0_86,plain,
p(nand(nand(nand(X1,X2),nand(X1,X2)),nand(X2,X2))),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X4,X2),nand(nand(X1,X4),nand(X1,X4))),nand(X1,nand(X1,X1))))),
inference(spm,[status(thm)],[c_0_14,c_0_83]) ).
cnf(c_0_88,plain,
p(nand(nand(X1,nand(X2,nand(X2,X3))),nand(nand(X3,X1),nand(X3,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_84]) ).
cnf(c_0_89,plain,
p(nand(nand(X1,nand(nand(X2,X3),X2)),nand(nand(X3,X1),nand(X3,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_85]) ).
cnf(c_0_90,plain,
p(nand(nand(X1,X1),nand(nand(X2,X1),nand(X2,X1)))),
inference(spm,[status(thm)],[c_0_54,c_0_86]) ).
cnf(c_0_91,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(X1,nand(X2,X3)),nand(nand(X4,X2),nand(nand(X1,X4),nand(X1,X4)))))),
inference(spm,[status(thm)],[c_0_7,c_0_87]) ).
cnf(c_0_92,plain,
( p(nand(X1,X2))
| ~ p(nand(X2,nand(X3,nand(X3,X1)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_88]) ).
cnf(c_0_93,plain,
p(nand(nand(nand(X1,X2),nand(X1,X2)),nand(X2,nand(nand(X3,X1),X3)))),
inference(spm,[status(thm)],[c_0_54,c_0_89]) ).
cnf(c_0_94,plain,
p(nand(nand(X1,X1),nand(nand(X1,X1),nand(X2,X1)))),
inference(spm,[status(thm)],[c_0_7,c_0_90]) ).
cnf(c_0_95,plain,
p(nand(nand(X1,nand(nand(X2,X3),nand(nand(X4,X2),nand(X4,X2)))),nand(nand(nand(X4,nand(X3,X5)),X1),nand(nand(X4,nand(X3,X5)),X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_91]) ).
cnf(c_0_96,plain,
p(nand(X1,nand(nand(X2,nand(X1,X2)),nand(X2,nand(X1,X2))))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,plain,
( p(X1)
| ~ p(nand(nand(X1,X1),nand(X2,X1))) ),
inference(spm,[status(thm)],[c_0_65,c_0_94]) ).
cnf(c_0_98,plain,
p(nand(nand(nand(nand(X1,nand(X2,X3)),X4),nand(nand(X1,nand(X2,X3)),X4)),nand(X4,nand(nand(X5,X2),nand(nand(X1,X5),nand(X1,X5)))))),
inference(spm,[status(thm)],[c_0_13,c_0_95]) ).
cnf(c_0_99,plain,
p(nand(nand(X1,nand(X2,nand(X3,X2))),nand(nand(X3,X1),nand(X3,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_96]) ).
cnf(c_0_100,plain,
( p(nand(X1,nand(nand(X2,nand(X2,X1)),X3)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_62]) ).
cnf(c_0_101,plain,
( p(nand(X1,X2))
| ~ p(nand(nand(X3,nand(X1,X2)),X2)) ),
inference(spm,[status(thm)],[c_0_97,c_0_44]) ).
cnf(c_0_102,plain,
p(nand(nand(X1,nand(X2,X3)),nand(nand(nand(X4,X2),nand(nand(X1,X4),nand(X1,X4))),nand(nand(X4,X2),nand(nand(X1,X4),nand(X1,X4)))))),
inference(spm,[status(thm)],[c_0_81,c_0_98]) ).
cnf(c_0_103,plain,
( p(nand(X1,X2))
| ~ p(nand(X2,nand(X3,nand(X1,X3)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_99]) ).
cnf(c_0_104,plain,
( p(nand(X1,X2))
| ~ p(nand(nand(X3,nand(X3,X2)),X1)) ),
inference(spm,[status(thm)],[c_0_92,c_0_100]) ).
cnf(c_0_105,plain,
( p(nand(nand(nand(X1,nand(X1,X2)),X3),X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_100]) ).
cnf(c_0_106,plain,
p(nand(X1,nand(nand(nand(X2,X1),nand(nand(X3,X2),nand(X3,X2))),nand(nand(X2,X1),nand(nand(X3,X2),nand(X3,X2)))))),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,plain,
( p(nand(X1,nand(nand(X2,nand(X1,X2)),X3)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_103,c_0_62]) ).
cnf(c_0_108,plain,
( p(nand(X1,X2))
| ~ p(nand(nand(X3,nand(X3,X1)),X2)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,plain,
p(nand(X1,nand(X1,nand(nand(X2,X1),nand(nand(X3,X2),nand(X3,X2)))))),
inference(spm,[status(thm)],[c_0_7,c_0_106]) ).
cnf(c_0_110,plain,
( p(nand(nand(nand(X1,nand(X2,X1)),X3),X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_107]) ).
cnf(c_0_111,plain,
p(nand(X1,nand(nand(X2,nand(X2,X1)),nand(nand(X3,nand(X2,nand(X2,X1))),nand(nand(X4,X3),nand(X4,X3)))))),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_112,negated_conjecture,
~ ! [X1,X2] : p(nand(nand(X1,nand(X2,X2)),nand(nand(nand(X2,X2),nand(nand(X1,X1),nand(X1,X1))),nand(nand(X2,X2),nand(nand(X1,X1),nand(X1,X1)))))),
inference(assume_negation,[status(cth)],[tautology]) ).
cnf(c_0_113,plain,
( p(nand(X1,X2))
| ~ p(nand(nand(X3,nand(X1,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_104,c_0_110]) ).
cnf(c_0_114,plain,
p(nand(nand(X1,nand(nand(X2,nand(X3,nand(X3,X4))),nand(nand(X5,X2),nand(X5,X2)))),nand(nand(X4,X1),nand(X4,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_111]) ).
fof(c_0_115,negated_conjecture,
~ p(nand(nand(esk1_0,nand(esk2_0,esk2_0)),nand(nand(nand(esk2_0,esk2_0),nand(nand(esk1_0,esk1_0),nand(esk1_0,esk1_0))),nand(nand(esk2_0,esk2_0),nand(nand(esk1_0,esk1_0),nand(esk1_0,esk1_0)))))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])]) ).
cnf(c_0_116,plain,
p(nand(nand(X1,nand(X2,nand(X2,X3))),nand(nand(X3,nand(nand(X4,X1),nand(X4,X1))),nand(X3,nand(nand(X4,X1),nand(X4,X1)))))),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_117,negated_conjecture,
~ p(nand(nand(esk1_0,nand(esk2_0,esk2_0)),nand(nand(nand(esk2_0,esk2_0),nand(nand(esk1_0,esk1_0),nand(esk1_0,esk1_0))),nand(nand(esk2_0,esk2_0),nand(nand(esk1_0,esk1_0),nand(esk1_0,esk1_0)))))),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_118,plain,
p(nand(nand(X1,X2),nand(nand(X2,nand(nand(X3,X1),nand(X3,X1))),nand(X2,nand(nand(X3,X1),nand(X3,X1)))))),
inference(spm,[status(thm)],[c_0_108,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : BOO109+1 : TPTP v8.1.0. Released v3.5.0.
% 0.09/0.10 % Command : run_ET %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 1 18:26:29 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.29/23.34 eprover: CPU time limit exceeded, terminating
% 0.29/23.35 eprover: CPU time limit exceeded, terminating
% 0.29/23.35 eprover: CPU time limit exceeded, terminating
% 0.29/23.35 eprover: CPU time limit exceeded, terminating
% 0.44/46.36 eprover: CPU time limit exceeded, terminating
% 0.44/46.36 eprover: CPU time limit exceeded, terminating
% 0.44/46.36 eprover: CPU time limit exceeded, terminating
% 0.44/46.37 eprover: CPU time limit exceeded, terminating
% 0.57/69.38 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.57/69.38
% 0.57/69.38 eprover: CPU time limit exceeded, terminating
% 0.57/69.38 eprover: CPU time limit exceeded, terminating
% 0.71/92.39 eprover: CPU time limit exceeded, terminating
% 0.71/92.40 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.71/92.40
% 0.71/92.42 eprover: CPU time limit exceeded, terminating
% 0.86/115.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.86/115.41
% 0.86/115.43 eprover: CPU time limit exceeded, terminating
% 0.86/115.43 eprover: CPU time limit exceeded, terminating
% 1.01/138.43 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.01/138.43
% 1.01/138.44 eprover: CPU time limit exceeded, terminating
% 1.01/138.47 eprover: CPU time limit exceeded, terminating
% 1.09/154.28 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.09/154.28
% 1.09/154.28 # Failure: Resource limit exceeded (time)
% 1.09/154.28 # OLD status Res
% 1.09/154.28 # Preprocessing time : 0.010 s
% 1.09/154.28 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.09/154.28
% 1.09/154.28 # Failure: Resource limit exceeded (time)
% 1.09/154.28 # OLD status Res
% 1.09/154.28 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.09/154.28 # Preprocessing time : 0.024 s
% 1.09/154.28 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.09/154.28
% 1.09/154.28 # Failure: Resource limit exceeded (time)
% 1.09/154.28 # OLD status Res
% 1.09/154.28 # Preprocessing time : 0.015 s
% 1.09/154.28 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.09/154.28
% 1.09/154.28 # Failure: Resource limit exceeded (time)
% 1.09/154.28 # OLD status Res
% 1.09/154.28 # Preprocessing time : 0.013 s
% 1.09/154.28 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.09/154.28
% 1.09/154.28 # Failure: Resource limit exceeded (time)
% 1.09/154.28 # OLD status Res
% 1.09/154.28 # Preprocessing time : 0.024 s
% 1.09/154.28 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.09/154.28
% 1.09/154.28 # Failure: Resource limit exceeded (time)
% 1.09/154.28 # OLD status Res
% 1.09/154.28 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.09/154.28 # Preprocessing time : 0.007 s
% 1.09/154.28 # Running protocol protocol_eprover_e60008599937a0dc787316fd87bf9ff4d65ffb48 for 23 seconds:
% 1.09/154.28 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.09/154.28 # Preprocessing time : 0.010 s
% 1.09/154.28
% 1.09/154.28 # Proof found!
% 1.09/154.28 # SZS status Theorem
% 1.09/154.28 # SZS output start CNFRefutation
% See solution above
% 1.09/154.28 # Proof object total steps : 120
% 1.09/154.28 # Proof object clause steps : 113
% 1.09/154.28 # Proof object formula steps : 7
% 1.09/154.28 # Proof object conjectures : 5
% 1.09/154.28 # Proof object clause conjectures : 2
% 1.09/154.28 # Proof object formula conjectures : 3
% 1.09/154.28 # Proof object initial clauses used : 3
% 1.09/154.28 # Proof object initial formulas used : 3
% 1.09/154.28 # Proof object generating inferences : 109
% 1.09/154.28 # Proof object simplifying inferences : 2
% 1.09/154.28 # Training examples: 0 positive, 0 negative
% 1.09/154.28 # Parsed axioms : 3
% 1.09/154.28 # Removed by relevancy pruning/SinE : 0
% 1.09/154.28 # Initial clauses : 3
% 1.09/154.28 # Removed in clause preprocessing : 0
% 1.09/154.28 # Initial clauses in saturation : 3
% 1.09/154.28 # Processed clauses : 246204
% 1.09/154.28 # ...of these trivial : 9845
% 1.09/154.28 # ...subsumed : 229609
% 1.09/154.28 # ...remaining for further processing : 6750
% 1.09/154.28 # Other redundant clauses eliminated : 0
% 1.09/154.28 # Clauses deleted for lack of memory : 182231
% 1.09/154.28 # Backward-subsumed : 205
% 1.09/154.28 # Backward-rewritten : 223
% 1.09/154.28 # Generated clauses : 999910
% 1.09/154.28 # ...of the previous two non-trivial : 615536
% 1.09/154.28 # Contextual simplify-reflections : 13405
% 1.09/154.28 # Paramodulations : 999910
% 1.09/154.28 # Factorizations : 0
% 1.09/154.28 # Equation resolutions : 0
% 1.09/154.28 # Current number of processed clauses : 6322
% 1.09/154.28 # Positive orientable unit clauses : 4225
% 1.09/154.28 # Positive unorientable unit clauses: 0
% 1.09/154.28 # Negative unit clauses : 20
% 1.09/154.28 # Non-unit-clauses : 2077
% 1.09/154.28 # Current number of unprocessed clauses: 175665
% 1.09/154.28 # ...number of literals in the above : 344014
% 1.09/154.28 # Current number of archived formulas : 0
% 1.09/154.28 # Current number of archived clauses : 428
% 1.09/154.28 # Clause-clause subsumption calls (NU) : 23970797
% 1.09/154.28 # Rec. Clause-clause subsumption calls : 23970432
% 1.09/154.28 # Non-unit clause-clause subsumptions : 243004
% 1.09/154.28 # Unit Clause-clause subsumption calls : 143055
% 1.09/154.28 # Rewrite failures with RHS unbound : 0
% 1.09/154.28 # BW rewrite match attempts : 7355361
% 1.09/154.28 # BW rewrite match successes : 236
% 1.09/154.28 # Condensation attempts : 0
% 1.09/154.28 # Condensation successes : 0
% 1.09/154.28 # Termbank termtop insertions : 11294874
% 1.09/154.28
% 1.09/154.28 # -------------------------------------------------
% 1.09/154.28 # User time : 15.195 s
% 1.09/154.28 # System time : 0.117 s
% 1.09/154.28 # Total time : 15.312 s
% 1.09/154.28 # Maximum resident set size: 135368 pages
% 1.14/161.46 eprover: CPU time limit exceeded, terminating
% 1.14/161.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.47 eprover: No such file or directory
% 1.14/161.48 eprover: CPU time limit exceeded, terminating
% 1.14/161.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.48 eprover: No such file or directory
% 1.14/161.48 eprover: CPU time limit exceeded, terminating
% 1.14/161.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.49 eprover: No such file or directory
% 1.14/161.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.49 eprover: No such file or directory
% 1.14/161.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.49 eprover: No such file or directory
% 1.14/161.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.14/161.49 eprover: No such file or directory
% 1.14/161.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.50 eprover: No such file or directory
% 1.14/161.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.50 eprover: No such file or directory
% 1.14/161.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.14/161.50 eprover: No such file or directory
% 1.14/161.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.50 eprover: No such file or directory
% 1.14/161.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.14/161.50 eprover: No such file or directory
% 1.14/161.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.50 eprover: No such file or directory
% 1.14/161.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.14/161.51 eprover: No such file or directory
% 1.14/161.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.14/161.51 eprover: No such file or directory
% 1.14/161.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.14/161.51 eprover: No such file or directory
%------------------------------------------------------------------------------