TSTP Solution File: SET744+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET744+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Tue Jul 19 00:53:31 EDT 2022
% Result : Theorem 1.12s 140.28s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 70 ( 10 unt; 0 def)
% Number of atoms : 410 ( 19 equ)
% Maximal formula atoms : 55 ( 5 avg)
% Number of connectives : 590 ( 250 ~; 270 |; 54 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-7 aty)
% Number of variables : 281 ( 14 sgn 83 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(injective,axiom,
! [X6,X1,X2] :
( injective(X6,X1,X2)
<=> ! [X13,X14,X5] :
( ( member(X13,X1)
& member(X14,X1)
& member(X5,X2) )
=> ( ( apply(X6,X13,X5)
& apply(X6,X14,X5) )
=> X13 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).
fof(one_to_one,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( injective(X6,X1,X2)
& surjective(X6,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',one_to_one) ).
fof(thII35,conjecture,
! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X1)
& one_to_one(compose_function(X10,X6,X1,X2,X11),X1,X11)
& one_to_one(compose_function(X9,X10,X2,X11,X1),X2,X1) )
=> one_to_one(X9,X11,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thII35) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X6,X4,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).
fof(c_0_6,plain,
! [X15,X16,X17,X18,X19,X20,X15,X16,X17] :
( ( ~ injective(X15,X16,X17)
| ~ member(X18,X16)
| ~ member(X19,X16)
| ~ member(X20,X17)
| ~ apply(X15,X18,X20)
| ~ apply(X15,X19,X20)
| X18 = X19 )
& ( member(esk15_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk16_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk17_3(X15,X16,X17),X17)
| injective(X15,X16,X17) )
& ( apply(X15,esk15_3(X15,X16,X17),esk17_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( apply(X15,esk16_3(X15,X16,X17),esk17_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( esk15_3(X15,X16,X17) != esk16_3(X15,X16,X17)
| injective(X15,X16,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[injective])])])])])])]) ).
fof(c_0_7,plain,
! [X7,X8,X9,X7,X8,X9] :
( ( injective(X7,X8,X9)
| ~ one_to_one(X7,X8,X9) )
& ( surjective(X7,X8,X9)
| ~ one_to_one(X7,X8,X9) )
& ( ~ injective(X7,X8,X9)
| ~ surjective(X7,X8,X9)
| one_to_one(X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])])])]) ).
fof(c_0_8,negated_conjecture,
~ ! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X9,X11,X1)
& one_to_one(compose_function(X10,X6,X1,X2,X11),X1,X11)
& one_to_one(compose_function(X9,X10,X2,X11,X1),X2,X1) )
=> one_to_one(X9,X11,X1) ),
inference(assume_negation,[status(cth)],[thII35]) ).
cnf(c_0_9,plain,
( X1 = X2
| ~ apply(X3,X2,X4)
| ~ apply(X3,X1,X4)
| ~ member(X4,X5)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ injective(X3,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
( maps(esk1_0,esk4_0,esk5_0)
& maps(esk2_0,esk5_0,esk6_0)
& maps(esk3_0,esk6_0,esk4_0)
& one_to_one(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
& one_to_one(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0)
& ~ one_to_one(esk3_0,esk6_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk7_7(X13,X14,X15,X16,X17,X18,X19),X16)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X14,X18,esk7_7(X13,X14,X15,X16,X17,X18,X19))
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X13,esk7_7(X13,X14,X15,X16,X17,X18,X19),X19)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( ~ member(X21,X16)
| ~ apply(X14,X18,X21)
| ~ apply(X13,X21,X19)
| apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])])])]) ).
fof(c_0_13,plain,
! [X7,X8,X9,X10,X7,X8,X9,X13] :
( ( member(esk13_4(X7,X8,X9,X10),X8)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( apply(X7,esk13_4(X7,X8,X9,X10),X10)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( member(esk14_3(X7,X8,X9),X9)
| surjective(X7,X8,X9) )
& ( ~ member(X13,X8)
| ~ apply(X7,X13,esk14_3(X7,X8,X9))
| surjective(X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[surjective])])])])])])]) ).
cnf(c_0_14,plain,
( X1 = X2
| ~ one_to_one(X3,X4,X5)
| ~ apply(X3,X2,X6)
| ~ apply(X3,X1,X6)
| ~ member(X6,X5)
| ~ member(X2,X4)
| ~ member(X1,X4) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
one_to_one(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( apply(X1,esk13_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X2,X3)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X1,X3)
| ~ member(X3,esk4_0)
| ~ member(X2,esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( apply(compose_function(X1,X2,X3,X4,X5),esk13_4(X2,X6,X7,X8),X9)
| ~ surjective(X2,X6,X7)
| ~ apply(X1,X8,X9)
| ~ member(esk13_4(X2,X6,X7,X8),X3)
| ~ member(X8,X4)
| ~ member(X9,X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( X1 = esk13_4(esk2_0,X2,X3,X4)
| ~ surjective(esk2_0,X2,X3)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X1,X5)
| ~ apply(esk3_0,X4,X5)
| ~ member(esk13_4(esk2_0,X2,X3,X4),esk5_0)
| ~ member(X5,esk4_0)
| ~ member(X1,esk5_0)
| ~ member(X4,esk6_0)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( esk13_4(esk2_0,X1,X2,X3) = esk13_4(esk2_0,X4,X5,X6)
| ~ surjective(esk2_0,X4,X5)
| ~ surjective(esk2_0,X1,X2)
| ~ apply(esk3_0,X6,X7)
| ~ apply(esk3_0,X3,X7)
| ~ member(esk13_4(esk2_0,X4,X5,X6),esk5_0)
| ~ member(esk13_4(esk2_0,X1,X2,X3),esk5_0)
| ~ member(X7,esk4_0)
| ~ member(X6,esk6_0)
| ~ member(X3,esk6_0)
| ~ member(X6,X5)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_22,plain,
( member(esk13_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( esk13_4(esk2_0,X1,X2,X3) = esk13_4(esk2_0,esk5_0,X4,X5)
| ~ surjective(esk2_0,esk5_0,X4)
| ~ surjective(esk2_0,X1,X2)
| ~ apply(esk3_0,X5,X6)
| ~ apply(esk3_0,X3,X6)
| ~ member(esk13_4(esk2_0,X1,X2,X3),esk5_0)
| ~ member(X6,esk4_0)
| ~ member(X5,esk6_0)
| ~ member(X3,esk6_0)
| ~ member(X5,X4)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk14_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,plain,
( apply(X5,esk7_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,plain,
( member(esk7_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
( esk13_4(esk2_0,esk5_0,X1,X2) = esk13_4(esk2_0,esk5_0,X3,X4)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ surjective(esk2_0,esk5_0,X1)
| ~ apply(esk3_0,X4,X5)
| ~ apply(esk3_0,X2,X5)
| ~ member(X5,esk4_0)
| ~ member(X4,esk6_0)
| ~ member(X2,esk6_0)
| ~ member(X4,X3)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_28,plain,
( injective(X1,X2,X3)
| apply(X1,esk16_3(X1,X2,X3),esk17_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,esk14_3(X1,X2,X3))
| ~ member(esk7_7(X1,X4,X5,X6,X7,X8,esk14_3(X1,X2,X3)),X2)
| ~ member(esk14_3(X1,X2,X3),X7)
| ~ member(X8,X5) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( member(esk7_7(X1,X2,X3,X4,X5,esk13_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),X8),X4)
| ~ surjective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(esk13_4(compose_function(X1,X2,X3,X4,X5),X6,X7,X8),X3)
| ~ member(X8,X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_26,c_0_17]) ).
cnf(c_0_31,negated_conjecture,
( esk13_4(esk2_0,esk5_0,X1,X2) = esk13_4(esk2_0,esk5_0,X3,esk16_3(esk3_0,X4,X5))
| injective(esk3_0,X4,X5)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ surjective(esk2_0,esk5_0,X1)
| ~ apply(esk3_0,X2,esk17_3(esk3_0,X4,X5))
| ~ member(esk17_3(esk3_0,X4,X5),esk4_0)
| ~ member(esk16_3(esk3_0,X4,X5),esk6_0)
| ~ member(esk16_3(esk3_0,X4,X5),X3)
| ~ member(X2,esk6_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
( injective(X1,X2,X3)
| apply(X1,esk15_3(X1,X2,X3),esk17_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_33,plain,
( surjective(X1,X2,X3)
| ~ surjective(compose_function(X1,X4,X5,X2,X6),X7,X8)
| ~ member(esk13_4(compose_function(X1,X4,X5,X2,X6),X7,X8,esk14_3(X1,X2,X3)),X5)
| ~ member(esk14_3(X1,X2,X3),X6)
| ~ member(esk14_3(X1,X2,X3),X8) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_17]) ).
fof(c_0_34,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk8_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk8_4(X9,X10,X11,X12))
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( ~ member(X14,X10)
| ~ member(X15,X11)
| ~ member(X16,X11)
| ~ apply(X9,X14,X15)
| ~ apply(X9,X14,X16)
| X15 = X16
| ~ maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X10)
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk11_3(X9,X10,X11),X11)
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk12_3(X9,X10,X11),X11)
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk10_3(X9,X10,X11),esk11_3(X9,X10,X11))
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk10_3(X9,X10,X11),esk12_3(X9,X10,X11))
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk11_3(X9,X10,X11) != esk12_3(X9,X10,X11)
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk11_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk12_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk10_3(X9,X10,X11),esk11_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk10_3(X9,X10,X11),esk12_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk11_3(X9,X10,X11) != esk12_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
cnf(c_0_35,negated_conjecture,
( esk13_4(esk2_0,esk5_0,X1,esk15_3(esk3_0,X2,X3)) = esk13_4(esk2_0,esk5_0,X4,esk16_3(esk3_0,X2,X3))
| injective(esk3_0,X2,X3)
| ~ surjective(esk2_0,esk5_0,X4)
| ~ surjective(esk2_0,esk5_0,X1)
| ~ member(esk17_3(esk3_0,X2,X3),esk4_0)
| ~ member(esk16_3(esk3_0,X2,X3),esk6_0)
| ~ member(esk15_3(esk3_0,X2,X3),esk6_0)
| ~ member(esk16_3(esk3_0,X2,X3),X4)
| ~ member(esk15_3(esk3_0,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( surjective(X1,X2,X3)
| ~ surjective(compose_function(X1,X4,X5,X2,X6),X5,X7)
| ~ member(esk14_3(X1,X2,X3),X6)
| ~ member(esk14_3(X1,X2,X3),X7) ),
inference(spm,[status(thm)],[c_0_33,c_0_22]) ).
cnf(c_0_37,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_38,plain,
( X4 = X5
| ~ maps(X1,X2,X3)
| ~ apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ member(X5,X3)
| ~ member(X4,X3)
| ~ member(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( injective(esk3_0,X1,X2)
| apply(esk2_0,esk13_4(esk2_0,esk5_0,X3,esk15_3(esk3_0,X1,X2)),esk16_3(esk3_0,X1,X2))
| ~ surjective(esk2_0,esk5_0,X4)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ member(esk17_3(esk3_0,X1,X2),esk4_0)
| ~ member(esk16_3(esk3_0,X1,X2),esk6_0)
| ~ member(esk15_3(esk3_0,X1,X2),esk6_0)
| ~ member(esk16_3(esk3_0,X1,X2),X4)
| ~ member(esk15_3(esk3_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_35]) ).
cnf(c_0_40,plain,
( injective(X1,X2,X3)
| member(esk16_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_41,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(compose_function(X1,X4,X5,X2,X6),X5,X7)
| ~ member(esk14_3(X1,X2,X3),X6)
| ~ member(esk14_3(X1,X2,X3),X7) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( X1 = X2
| ~ surjective(X3,X4,X5)
| ~ apply(X3,esk13_4(X3,X4,X5,X2),X1)
| ~ maps(X3,X6,X7)
| ~ member(esk13_4(X3,X4,X5,X2),X6)
| ~ member(X2,X7)
| ~ member(X1,X7)
| ~ member(X2,X5) ),
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_43,negated_conjecture,
( injective(esk3_0,X1,X2)
| apply(esk2_0,esk13_4(esk2_0,esk5_0,X3,esk15_3(esk3_0,X1,X2)),esk16_3(esk3_0,X1,X2))
| ~ surjective(esk2_0,esk5_0,X1)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ member(esk17_3(esk3_0,X1,X2),esk4_0)
| ~ member(esk16_3(esk3_0,X1,X2),esk6_0)
| ~ member(esk15_3(esk3_0,X1,X2),esk6_0)
| ~ member(esk15_3(esk3_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
( injective(X1,X2,X3)
| esk15_3(X1,X2,X3) != esk16_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_45,negated_conjecture,
( surjective(esk3_0,esk6_0,X1)
| ~ member(esk14_3(esk3_0,esk6_0,X1),esk4_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_15]) ).
cnf(c_0_46,plain,
( surjective(X1,X2,X3)
| member(esk14_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_47,negated_conjecture,
( injective(esk3_0,X1,X2)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ surjective(esk2_0,esk5_0,X1)
| ~ maps(esk2_0,X4,X5)
| ~ member(esk13_4(esk2_0,esk5_0,X3,esk15_3(esk3_0,X1,X2)),X4)
| ~ member(esk17_3(esk3_0,X1,X2),esk4_0)
| ~ member(esk16_3(esk3_0,X1,X2),esk6_0)
| ~ member(esk15_3(esk3_0,X1,X2),esk6_0)
| ~ member(esk15_3(esk3_0,X1,X2),X5)
| ~ member(esk16_3(esk3_0,X1,X2),X5)
| ~ member(esk15_3(esk3_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_48,negated_conjecture,
one_to_one(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_49,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ member(esk16_3(esk3_0,esk6_0,esk4_0),X2)
| ~ member(esk15_3(esk3_0,esk6_0,esk4_0),X2)
| ~ maps(esk2_0,esk5_0,X2) ) ),
introduced(definition) ).
cnf(c_0_50,plain,
( one_to_one(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_51,negated_conjecture,
surjective(esk3_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
~ one_to_one(esk3_0,esk6_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_53,negated_conjecture,
( injective(esk3_0,X1,X2)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ surjective(esk2_0,esk5_0,X1)
| ~ maps(esk2_0,esk5_0,X4)
| ~ member(esk17_3(esk3_0,X1,X2),esk4_0)
| ~ member(esk16_3(esk3_0,X1,X2),esk6_0)
| ~ member(esk15_3(esk3_0,X1,X2),esk6_0)
| ~ member(esk15_3(esk3_0,X1,X2),X4)
| ~ member(esk16_3(esk3_0,X1,X2),X4)
| ~ member(esk15_3(esk3_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_22]) ).
cnf(c_0_54,plain,
( injective(X1,X2,X3)
| member(esk17_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_55,negated_conjecture,
( surjective(esk2_0,esk5_0,X1)
| ~ member(esk14_3(esk2_0,esk5_0,X1),esk6_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( epred26_0
| ~ maps(esk2_0,esk5_0,X1)
| ~ member(esk16_3(esk3_0,esk6_0,esk4_0),X1)
| ~ member(esk15_3(esk3_0,esk6_0,esk4_0),X1) ),
inference(split_equiv,[status(thm)],[c_0_49]) ).
cnf(c_0_57,negated_conjecture,
maps(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_58,negated_conjecture,
~ injective(esk3_0,esk6_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
fof(c_0_59,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ member(esk15_3(esk3_0,esk6_0,esk4_0),X1)
| ~ member(esk15_3(esk3_0,esk6_0,esk4_0),esk6_0)
| ~ surjective(esk2_0,esk5_0,X1) ) ),
introduced(definition) ).
cnf(c_0_60,negated_conjecture,
( injective(esk3_0,X1,esk4_0)
| ~ surjective(esk2_0,esk5_0,X2)
| ~ surjective(esk2_0,esk5_0,X1)
| ~ maps(esk2_0,esk5_0,X3)
| ~ member(esk16_3(esk3_0,X1,esk4_0),esk6_0)
| ~ member(esk15_3(esk3_0,X1,esk4_0),esk6_0)
| ~ member(esk15_3(esk3_0,X1,esk4_0),X3)
| ~ member(esk16_3(esk3_0,X1,esk4_0),X3)
| ~ member(esk15_3(esk3_0,X1,esk4_0),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
surjective(esk2_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_62,negated_conjecture,
( epred26_0
| ~ member(esk15_3(esk3_0,esk6_0,esk4_0),esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_40]),c_0_57])]),c_0_58]) ).
cnf(c_0_63,plain,
( injective(X1,X2,X3)
| member(esk15_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_64,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_40]),c_0_61])]),c_0_58]),c_0_59]),c_0_49]) ).
cnf(c_0_65,negated_conjecture,
epred26_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_58]) ).
cnf(c_0_66,negated_conjecture,
~ epred25_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).
cnf(c_0_67,negated_conjecture,
( ~ surjective(esk2_0,esk5_0,X1)
| ~ member(esk15_3(esk3_0,esk6_0,esk4_0),esk6_0)
| ~ member(esk15_3(esk3_0,esk6_0,esk4_0),X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_59]),c_0_66]) ).
cnf(c_0_68,negated_conjecture,
( ~ surjective(esk2_0,esk5_0,X1)
| ~ member(esk15_3(esk3_0,esk6_0,esk4_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_63]),c_0_58]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_63]),c_0_61])]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET744+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n022.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
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 19:27:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.43 eprover: CPU time limit exceeded, terminating
% 0.53/46.43 eprover: CPU time limit exceeded, terminating
% 0.53/46.44 eprover: CPU time limit exceeded, terminating
% 0.53/46.44 eprover: CPU time limit exceeded, terminating
% 0.53/46.44 eprover: CPU time limit exceeded, terminating
% 0.69/69.44 eprover: CPU time limit exceeded, terminating
% 0.69/69.45 eprover: CPU time limit exceeded, terminating
% 0.69/69.45 eprover: CPU time limit exceeded, terminating
% 0.69/69.46 eprover: CPU time limit exceeded, terminating
% 0.82/92.46 eprover: CPU time limit exceeded, terminating
% 0.82/92.47 eprover: CPU time limit exceeded, terminating
% 0.82/92.47 eprover: CPU time limit exceeded, terminating
% 0.82/92.48 eprover: CPU time limit exceeded, terminating
% 0.97/115.47 eprover: CPU time limit exceeded, terminating
% 0.97/115.48 eprover: CPU time limit exceeded, terminating
% 0.97/115.49 eprover: CPU time limit exceeded, terminating
% 0.97/115.49 eprover: CPU time limit exceeded, terminating
% 1.11/138.49 eprover: CPU time limit exceeded, terminating
% 1.11/138.49 eprover: CPU time limit exceeded, terminating
% 1.11/138.51 eprover: CPU time limit exceeded, terminating
% 1.11/138.51 eprover: CPU time limit exceeded, terminating
% 1.12/140.28 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.12/140.28
% 1.12/140.28 # Failure: Resource limit exceeded (time)
% 1.12/140.28 # OLD status Res
% 1.12/140.28 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.12/140.28 # Preprocessing time : 0.017 s
% 1.12/140.28 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.12/140.28
% 1.12/140.28 # Failure: Resource limit exceeded (time)
% 1.12/140.28 # OLD status Res
% 1.12/140.28 # Preprocessing time : 0.015 s
% 1.12/140.28 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.12/140.28
% 1.12/140.28 # Failure: Resource limit exceeded (time)
% 1.12/140.28 # OLD status Res
% 1.12/140.28 # Preprocessing time : 0.023 s
% 1.12/140.28 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.12/140.28
% 1.12/140.28 # Failure: Resource limit exceeded (time)
% 1.12/140.28 # OLD status Res
% 1.12/140.28 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.12/140.28 # Preprocessing time : 0.011 s
% 1.12/140.28 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 1.12/140.28
% 1.12/140.28 # Failure: Resource limit exceeded (time)
% 1.12/140.28 # OLD status Res
% 1.12/140.28 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 1.12/140.28 # Preprocessing time : 0.017 s
% 1.12/140.28 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 1.12/140.28
% 1.12/140.28 # Failure: Resource limit exceeded (time)
% 1.12/140.28 # OLD status Res
% 1.12/140.28 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 1.12/140.28 # Preprocessing time : 0.009 s
% 1.12/140.28 # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 1.12/140.28 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 1.12/140.28 # Preprocessing time : 0.017 s
% 1.12/140.28
% 1.12/140.28 # Proof found!
% 1.12/140.28 # SZS status Theorem
% 1.12/140.28 # SZS output start CNFRefutation
% See solution above
% 1.12/140.28 # Proof object total steps : 70
% 1.12/140.28 # Proof object clause steps : 55
% 1.12/140.28 # Proof object formula steps : 15
% 1.12/140.28 # Proof object conjectures : 32
% 1.12/140.28 # Proof object clause conjectures : 29
% 1.12/140.28 # Proof object formula conjectures : 3
% 1.12/140.28 # Proof object initial clauses used : 23
% 1.12/140.28 # Proof object initial formulas used : 6
% 1.12/140.28 # Proof object generating inferences : 30
% 1.12/140.28 # Proof object simplifying inferences : 19
% 1.12/140.28 # Training examples: 0 positive, 0 negative
% 1.12/140.28 # Parsed axioms : 29
% 1.12/140.28 # Removed by relevancy pruning/SinE : 23
% 1.12/140.28 # Initial clauses : 39
% 1.12/140.28 # Removed in clause preprocessing : 0
% 1.12/140.28 # Initial clauses in saturation : 39
% 1.12/140.28 # Processed clauses : 2141
% 1.12/140.28 # ...of these trivial : 0
% 1.12/140.28 # ...subsumed : 1356
% 1.12/140.28 # ...remaining for further processing : 785
% 1.12/140.28 # Other redundant clauses eliminated : 0
% 1.12/140.28 # Clauses deleted for lack of memory : 0
% 1.12/140.28 # Backward-subsumed : 139
% 1.12/140.28 # Backward-rewritten : 30
% 1.12/140.28 # Generated clauses : 8718
% 1.12/140.28 # ...of the previous two non-trivial : 8650
% 1.12/140.28 # Contextual simplify-reflections : 4147
% 1.12/140.28 # Paramodulations : 8678
% 1.12/140.28 # Factorizations : 0
% 1.12/140.28 # Equation resolutions : 0
% 1.12/140.28 # Current number of processed clauses : 602
% 1.12/140.28 # Positive orientable unit clauses : 23
% 1.12/140.28 # Positive unorientable unit clauses: 0
% 1.12/140.28 # Negative unit clauses : 12
% 1.12/140.28 # Non-unit-clauses : 567
% 1.12/140.28 # Current number of unprocessed clauses: 5137
% 1.12/140.28 # ...number of literals in the above : 68533
% 1.12/140.28 # Current number of archived formulas : 0
% 1.12/140.28 # Current number of archived clauses : 169
% 1.12/140.28 # Clause-clause subsumption calls (NU) : 588898
% 1.12/140.28 # Rec. Clause-clause subsumption calls : 18809
% 1.12/140.28 # Non-unit clause-clause subsumptions : 5643
% 1.12/140.28 # Unit Clause-clause subsumption calls : 4735
% 1.12/140.28 # Rewrite failures with RHS unbound : 0
% 1.12/140.28 # BW rewrite match attempts : 23
% 1.12/140.28 # BW rewrite match successes : 13
% 1.12/140.28 # Condensation attempts : 0
% 1.12/140.28 # Condensation successes : 0
% 1.12/140.28 # Termbank termtop insertions : 487144
% 1.12/140.28
% 1.12/140.28 # -------------------------------------------------
% 1.12/140.28 # User time : 0.913 s
% 1.12/140.28 # System time : 0.005 s
% 1.12/140.28 # Total time : 0.918 s
% 1.12/140.28 # Maximum resident set size: 13384 pages
% 1.12/161.51 eprover: CPU time limit exceeded, terminating
% 1.12/161.51 eprover: CPU time limit exceeded, terminating
% 1.12/161.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.52 eprover: No such file or directory
% 1.12/161.52 eprover: CPU time limit exceeded, terminating
% 1.12/161.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/161.52 eprover: No such file or directory
% 1.12/161.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.53 eprover: No such file or directory
% 1.12/161.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/161.53 eprover: No such file or directory
% 1.12/161.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.53 eprover: No such file or directory
% 1.12/161.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/161.53 eprover: No such file or directory
% 1.12/161.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.54 eprover: No such file or directory
% 1.12/161.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.54 eprover: No such file or directory
% 1.12/161.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/161.54 eprover: No such file or directory
% 1.12/161.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.54 eprover: No such file or directory
% 1.12/161.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.54 eprover: No such file or directory
% 1.12/161.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.12/161.54 eprover: No such file or directory
% 1.12/161.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.55 eprover: No such file or directory
% 1.12/161.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.55 eprover: No such file or directory
% 1.12/161.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.12/161.56 eprover: No such file or directory
%------------------------------------------------------------------------------