TSTP Solution File: SET723+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET723+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 00:53:23 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 7 unt; 0 def)
% Number of atoms : 301 ( 21 equ)
% Maximal formula atoms : 55 ( 5 avg)
% Number of connectives : 376 ( 130 ~; 176 |; 56 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-7 aty)
% Number of variables : 224 ( 10 sgn 78 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII14,conjecture,
! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X2,X11)
& maps(X10,X1,X2)
& maps(X9,X1,X2)
& injective(X6,X2,X11)
& equal_maps(compose_function(X6,X10,X1,X2,X11),compose_function(X6,X9,X1,X2,X11),X1,X11) )
=> equal_maps(X10,X9,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thII14) ).
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/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
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/sandbox/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(equal_maps,axiom,
! [X6,X10,X1,X2] :
( equal_maps(X6,X10,X1,X2)
<=> ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X10,X3,X8) )
=> X7 = X8 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',equal_maps) ).
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/sandbox/benchmark/Axioms/SET006+1.ax',injective) ).
fof(c_0_5,negated_conjecture,
~ ! [X6,X10,X9,X1,X2,X11] :
( ( maps(X6,X2,X11)
& maps(X10,X1,X2)
& maps(X9,X1,X2)
& injective(X6,X2,X11)
& equal_maps(compose_function(X6,X10,X1,X2,X11),compose_function(X6,X9,X1,X2,X11),X1,X11) )
=> equal_maps(X10,X9,X1,X2) ),
inference(assume_negation,[status(cth)],[thII14]) ).
fof(c_0_6,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk14_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk14_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(esk16_3(X9,X10,X11),X10)
| member(esk15_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk17_3(X9,X10,X11),X11)
| member(esk15_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk18_3(X9,X10,X11),X11)
| member(esk15_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk16_3(X9,X10,X11),esk17_3(X9,X10,X11))
| member(esk15_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk16_3(X9,X10,X11),esk18_3(X9,X10,X11))
| member(esk15_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk17_3(X9,X10,X11) != esk18_3(X9,X10,X11)
| member(esk15_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk16_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk15_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk17_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk15_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk18_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk15_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk16_3(X9,X10,X11),esk17_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk15_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk16_3(X9,X10,X11),esk18_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk15_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk17_3(X9,X10,X11) != esk18_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk15_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])])])])])])]) ).
fof(c_0_7,negated_conjecture,
( maps(esk1_0,esk5_0,esk6_0)
& maps(esk2_0,esk4_0,esk5_0)
& maps(esk3_0,esk4_0,esk5_0)
& injective(esk1_0,esk5_0,esk6_0)
& equal_maps(compose_function(esk1_0,esk2_0,esk4_0,esk5_0,esk6_0),compose_function(esk1_0,esk3_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
& ~ equal_maps(esk2_0,esk3_0,esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk10_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,esk10_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,esk10_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_9,plain,
! [X11,X12,X13,X14,X15,X16,X17,X11,X12,X13,X14] :
( ( ~ equal_maps(X11,X12,X13,X14)
| ~ member(X15,X13)
| ~ member(X16,X14)
| ~ member(X17,X14)
| ~ apply(X11,X15,X16)
| ~ apply(X12,X15,X17)
| X16 = X17 )
& ( member(esk7_4(X11,X12,X13,X14),X13)
| equal_maps(X11,X12,X13,X14) )
& ( member(esk8_4(X11,X12,X13,X14),X14)
| equal_maps(X11,X12,X13,X14) )
& ( member(esk9_4(X11,X12,X13,X14),X14)
| equal_maps(X11,X12,X13,X14) )
& ( apply(X11,esk7_4(X11,X12,X13,X14),esk8_4(X11,X12,X13,X14))
| equal_maps(X11,X12,X13,X14) )
& ( apply(X12,esk7_4(X11,X12,X13,X14),esk9_4(X11,X12,X13,X14))
| equal_maps(X11,X12,X13,X14) )
& ( esk8_4(X11,X12,X13,X14) != esk9_4(X11,X12,X13,X14)
| equal_maps(X11,X12,X13,X14) ) ),
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)],[equal_maps])])])])])])]) ).
cnf(c_0_10,plain,
( apply(X1,X4,esk14_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
maps(esk1_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,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_8]) ).
cnf(c_0_13,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk7_4(X1,X2,X3,X4),esk9_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( apply(esk1_0,X1,esk14_4(esk1_0,esk5_0,esk6_0,X1))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk9_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( member(esk14_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,plain,
( equal_maps(X1,X2,X3,X4)
| apply(compose_function(X5,X2,X6,X7,X8),esk7_4(X1,X2,X3,X4),X9)
| ~ apply(X5,esk9_4(X1,X2,X3,X4),X9)
| ~ member(esk9_4(X1,X2,X3,X4),X7)
| ~ member(esk7_4(X1,X2,X3,X4),X6)
| ~ member(X9,X8) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(esk1_0,esk9_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X1,X2,X3,esk5_0))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( member(esk14_4(esk1_0,esk5_0,esk6_0,X1),esk6_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_20,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk7_4(X1,X2,X3,X4),esk8_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk8_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(compose_function(esk1_0,X2,X4,X5,X6),esk7_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X1,X2,X3,esk5_0)))
| ~ member(esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X1,X2,X3,esk5_0)),X6)
| ~ member(esk9_4(X1,X2,X3,esk5_0),X5)
| ~ member(esk7_4(X1,X2,X3,esk5_0),X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| member(esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X1,X2,X3,esk5_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_24,plain,
( equal_maps(X1,X2,X3,X4)
| apply(compose_function(X5,X1,X6,X7,X8),esk7_4(X1,X2,X3,X4),X9)
| ~ apply(X5,esk8_4(X1,X2,X3,X4),X9)
| ~ member(esk8_4(X1,X2,X3,X4),X7)
| ~ member(esk7_4(X1,X2,X3,X4),X6)
| ~ member(X9,X8) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(esk1_0,esk8_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(X1,X2,X3,esk5_0))) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(compose_function(esk1_0,X2,X4,X5,esk6_0),esk7_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X1,X2,X3,esk5_0)))
| ~ member(esk9_4(X1,X2,X3,esk5_0),X5)
| ~ member(esk7_4(X1,X2,X3,esk5_0),X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(compose_function(esk1_0,X1,X4,X5,X6),esk7_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(X1,X2,X3,esk5_0)))
| ~ member(esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(X1,X2,X3,esk5_0)),X6)
| ~ member(esk8_4(X1,X2,X3,esk5_0),X5)
| ~ member(esk7_4(X1,X2,X3,esk5_0),X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| member(esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(X1,X2,X3,esk5_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
fof(c_0_29,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(esk11_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk12_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk13_3(X15,X16,X17),X17)
| injective(X15,X16,X17) )
& ( apply(X15,esk11_3(X15,X16,X17),esk13_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( apply(X15,esk12_3(X15,X16,X17),esk13_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( esk11_3(X15,X16,X17) != esk12_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])])])])])])]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ apply(X3,X4,X2)
| ~ apply(X5,X4,X1)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X4,X7)
| ~ equal_maps(X5,X3,X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_31,negated_conjecture,
equal_maps(compose_function(esk1_0,esk2_0,esk4_0,esk5_0,esk6_0),compose_function(esk1_0,esk3_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(compose_function(esk1_0,X2,X4,esk5_0,esk6_0),esk7_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X1,X2,X3,esk5_0)))
| ~ member(esk7_4(X1,X2,X3,esk5_0),X4) ),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_33,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk7_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(compose_function(esk1_0,X1,X4,X5,esk6_0),esk7_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(X1,X2,X3,esk5_0)))
| ~ member(esk8_4(X1,X2,X3,esk5_0),X5)
| ~ member(esk7_4(X1,X2,X3,esk5_0),X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,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_29]) ).
cnf(c_0_36,negated_conjecture,
injective(esk1_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk1_0,esk2_0,esk4_0,esk5_0,esk6_0),X3,X1)
| ~ apply(compose_function(esk1_0,esk3_0,esk4_0,esk5_0,esk6_0),X3,X2)
| ~ member(X3,esk4_0)
| ~ member(X2,esk6_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(compose_function(esk1_0,X2,X3,esk5_0,esk6_0),esk7_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X1,X2,X3,esk5_0))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(compose_function(esk1_0,X1,X4,esk5_0,esk6_0),esk7_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(X1,X2,X3,esk5_0)))
| ~ member(esk7_4(X1,X2,X3,esk5_0),X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_21]) ).
cnf(c_0_40,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ member(X3,esk6_0)
| ~ member(X2,esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X1,esk2_0,esk4_0,esk5_0)) = X2
| equal_maps(X1,esk2_0,esk4_0,esk5_0)
| ~ apply(compose_function(esk1_0,esk3_0,esk4_0,esk5_0,esk6_0),esk7_4(X1,esk2_0,esk4_0,esk5_0),X2)
| ~ member(X2,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_23]),c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( equal_maps(X1,X2,X3,esk5_0)
| apply(compose_function(esk1_0,X1,X3,esk5_0,esk6_0),esk7_4(X1,X2,X3,esk5_0),esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(X1,X2,X3,esk5_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_43,negated_conjecture,
( X1 = esk9_4(X2,X3,X4,esk5_0)
| equal_maps(X2,X3,X4,esk5_0)
| ~ apply(esk1_0,X1,esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(X2,X3,X4,esk5_0)))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_18]),c_0_15]),c_0_23]) ).
cnf(c_0_44,negated_conjecture,
( esk14_4(esk1_0,esk5_0,esk6_0,esk9_4(esk3_0,esk2_0,esk4_0,esk5_0)) = esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(esk3_0,esk2_0,esk4_0,esk5_0))
| equal_maps(esk3_0,esk2_0,esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_28]) ).
cnf(c_0_45,negated_conjecture,
( X1 = esk9_4(esk3_0,esk2_0,esk4_0,esk5_0)
| equal_maps(esk3_0,esk2_0,esk4_0,esk5_0)
| ~ apply(esk1_0,X1,esk14_4(esk1_0,esk5_0,esk6_0,esk8_4(esk3_0,esk2_0,esk4_0,esk5_0)))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_46,plain,
( equal_maps(X1,X2,X3,X4)
| esk8_4(X1,X2,X3,X4) != esk9_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_47,negated_conjecture,
equal_maps(esk3_0,esk2_0,esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_25]),c_0_21]),c_0_46]) ).
cnf(c_0_48,negated_conjecture,
( X1 = X2
| ~ apply(esk3_0,X3,X1)
| ~ apply(esk2_0,X3,X2)
| ~ member(X3,esk4_0)
| ~ member(X2,esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
cnf(c_0_49,negated_conjecture,
( esk9_4(X1,esk3_0,X2,X3) = X4
| equal_maps(X1,esk3_0,X2,X3)
| ~ apply(esk2_0,esk7_4(X1,esk3_0,X2,X3),X4)
| ~ member(esk7_4(X1,esk3_0,X2,X3),esk4_0)
| ~ member(esk9_4(X1,esk3_0,X2,X3),esk5_0)
| ~ member(X4,esk5_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_13]) ).
cnf(c_0_50,negated_conjecture,
( equal_maps(esk2_0,esk3_0,X1,X2)
| ~ member(esk7_4(esk2_0,esk3_0,X1,X2),esk4_0)
| ~ member(esk9_4(esk2_0,esk3_0,X1,X2),esk5_0)
| ~ member(esk8_4(esk2_0,esk3_0,X1,X2),esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_20]),c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( equal_maps(esk2_0,esk3_0,esk4_0,X1)
| ~ member(esk9_4(esk2_0,esk3_0,esk4_0,X1),esk5_0)
| ~ member(esk8_4(esk2_0,esk3_0,esk4_0,X1),esk5_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_33]) ).
cnf(c_0_52,negated_conjecture,
~ equal_maps(esk2_0,esk3_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_53,negated_conjecture,
~ member(esk8_4(esk2_0,esk3_0,esk4_0,esk5_0),esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_15]),c_0_52]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_21]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET723+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.13/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n012.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 : 600
% 0.13/0.34 % DateTime : Sun Jul 10 19:43:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.42 # Preprocessing time : 0.017 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 55
% 0.24/1.42 # Proof object clause steps : 44
% 0.24/1.42 # Proof object formula steps : 11
% 0.24/1.42 # Proof object conjectures : 34
% 0.24/1.42 # Proof object clause conjectures : 31
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 15
% 0.24/1.42 # Proof object initial formulas used : 5
% 0.24/1.42 # Proof object generating inferences : 29
% 0.24/1.42 # Proof object simplifying inferences : 10
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 29
% 0.24/1.42 # Removed by relevancy pruning/SinE : 24
% 0.24/1.42 # Initial clauses : 39
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 39
% 0.24/1.42 # Processed clauses : 2478
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 1061
% 0.24/1.42 # ...remaining for further processing : 1417
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 55
% 0.24/1.42 # Backward-rewritten : 3
% 0.24/1.42 # Generated clauses : 3440
% 0.24/1.42 # ...of the previous two non-trivial : 3392
% 0.24/1.42 # Contextual simplify-reflections : 1137
% 0.24/1.42 # Paramodulations : 3440
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 1359
% 0.24/1.42 # Positive orientable unit clauses : 12
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 2
% 0.24/1.42 # Non-unit-clauses : 1345
% 0.24/1.42 # Current number of unprocessed clauses: 929
% 0.24/1.42 # ...number of literals in the above : 4804
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 58
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 568437
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 143749
% 0.24/1.42 # Non-unit clause-clause subsumptions : 2253
% 0.24/1.42 # Unit Clause-clause subsumption calls : 1586
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 3
% 0.24/1.42 # BW rewrite match successes : 1
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 252423
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.512 s
% 0.24/1.42 # System time : 0.005 s
% 0.24/1.42 # Total time : 0.517 s
% 0.24/1.42 # Maximum resident set size: 9692 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------