TSTP Solution File: SET716+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET716+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 00:53:20 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 86 ( 12 unt; 0 def)
% Number of atoms : 370 ( 36 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 446 ( 162 ~; 229 |; 44 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-7 aty)
% Number of variables : 318 ( 6 sgn 58 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII07,conjecture,
! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& injective(X6,X1,X2)
& injective(X10,X2,X11) )
=> injective(compose_function(X10,X6,X1,X2,X11),X1,X11) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thII07) ).
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(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(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(c_0_4,negated_conjecture,
~ ! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& injective(X6,X1,X2)
& injective(X10,X2,X11) )
=> injective(compose_function(X10,X6,X1,X2,X11),X1,X11) ),
inference(assume_negation,[status(cth)],[thII07]) ).
fof(c_0_5,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk10_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk10_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(esk12_3(X9,X10,X11),X10)
| member(esk11_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk13_3(X9,X10,X11),X11)
| member(esk11_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk14_3(X9,X10,X11),X11)
| member(esk11_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk12_3(X9,X10,X11),esk13_3(X9,X10,X11))
| member(esk11_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk12_3(X9,X10,X11),esk14_3(X9,X10,X11))
| member(esk11_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk13_3(X9,X10,X11) != esk14_3(X9,X10,X11)
| member(esk11_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk12_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk11_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk13_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk11_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk14_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk11_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk12_3(X9,X10,X11),esk13_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk11_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk12_3(X9,X10,X11),esk14_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk11_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk13_3(X9,X10,X11) != esk14_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk11_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_6,negated_conjecture,
( maps(esk1_0,esk3_0,esk4_0)
& maps(esk2_0,esk4_0,esk5_0)
& injective(esk1_0,esk3_0,esk4_0)
& injective(esk2_0,esk4_0,esk5_0)
& ~ injective(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( apply(X1,X4,esk10_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
maps(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,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(esk6_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk7_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk8_3(X15,X16,X17),X17)
| injective(X15,X16,X17) )
& ( apply(X15,esk6_3(X15,X16,X17),esk8_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( apply(X15,esk7_3(X15,X16,X17),esk8_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( esk6_3(X15,X16,X17) != esk7_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_10,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk9_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,esk9_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,esk9_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])])])])])])]) ).
cnf(c_0_11,negated_conjecture,
( apply(esk1_0,X1,esk10_4(esk1_0,esk3_0,esk4_0,X1))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( injective(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( member(esk10_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( apply(X6,X3,esk9_7(X5,X6,X4,X7,X2,X3,X1))
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( injective(X1,X2,X3)
| apply(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,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_5]) ).
cnf(c_0_17,negated_conjecture,
( injective(X1,esk3_0,X2)
| apply(esk1_0,esk7_3(X1,esk3_0,X2),esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X1,esk3_0,X2))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( member(esk10_4(esk1_0,esk3_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_19,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X2,esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7)))
| ~ member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( member(esk9_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_10]) ).
cnf(c_0_21,negated_conjecture,
maps(esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( X1 = esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3))
| injective(X2,esk3_0,X3)
| ~ apply(esk1_0,esk7_3(X2,esk3_0,X3),X1)
| ~ maps(esk1_0,X4,X5)
| ~ member(esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3)),X5)
| ~ member(esk7_3(X2,esk3_0,X3),X4)
| ~ member(X1,X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( injective(X1,esk3_0,X2)
| member(esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X1,esk3_0,X2)),esk4_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_24,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X6)
| apply(X2,esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6)))
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_25,plain,
( injective(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
| ~ member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( apply(esk2_0,X1,esk10_4(esk2_0,esk4_0,esk5_0,X1))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( X1 = esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3))
| injective(X2,esk3_0,X3)
| ~ apply(esk1_0,esk7_3(X2,esk3_0,X3),X1)
| ~ maps(esk1_0,X4,esk4_0)
| ~ member(esk7_3(X2,esk3_0,X3),X4)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| apply(X2,esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X6)
| member(esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),X4)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_26,c_0_12]) ).
cnf(c_0_31,negated_conjecture,
( injective(X1,esk3_0,X2)
| apply(esk2_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X1,esk3_0,X2)),esk10_4(esk2_0,esk4_0,esk5_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X1,esk3_0,X2)))) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( member(esk10_4(esk2_0,esk4_0,esk5_0,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_33,negated_conjecture,
( esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)) = esk9_7(X1,esk1_0,esk3_0,X2,X3,esk7_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3))
| injective(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)
| ~ maps(esk1_0,X4,esk4_0)
| ~ member(esk9_7(X1,esk1_0,esk3_0,X2,X3,esk7_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)),esk4_0)
| ~ member(esk7_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| member(esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_35,plain,
( apply(X5,esk9_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_10]) ).
cnf(c_0_36,negated_conjecture,
( X1 = esk10_4(esk2_0,esk4_0,esk5_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3)))
| injective(X2,esk3_0,X3)
| ~ apply(esk2_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3)),X1)
| ~ maps(esk2_0,X4,X5)
| ~ member(esk10_4(esk2_0,esk4_0,esk5_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3))),X5)
| ~ member(esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3)),X4)
| ~ member(X1,X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( injective(X1,esk3_0,X2)
| member(esk10_4(esk2_0,esk4_0,esk5_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X1,esk3_0,X2))),esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_38,negated_conjecture,
( esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk9_7(X1,esk1_0,esk3_0,esk4_0,X2,esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| injective(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| ~ maps(esk1_0,X3,esk4_0)
| ~ member(esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X1,esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
| ~ member(esk7_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_35,c_0_15]) ).
cnf(c_0_40,negated_conjecture,
( X1 = esk10_4(esk2_0,esk4_0,esk5_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3)))
| injective(X2,esk3_0,X3)
| ~ apply(esk2_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3)),X1)
| ~ maps(esk2_0,X4,esk5_0)
| ~ member(esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3)),X4)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk9_7(X1,esk1_0,esk3_0,esk4_0,X2,esk7_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| injective(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_12]),c_0_8])]) ).
cnf(c_0_42,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X6)
| apply(X1,esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6))
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_39,c_0_12]) ).
cnf(c_0_43,plain,
( injective(X1,X2,X3)
| member(esk6_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,plain,
( injective(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_45,negated_conjecture,
( X1 = esk10_4(esk2_0,esk4_0,esk5_0,esk9_7(X2,esk1_0,esk3_0,esk4_0,X3,esk7_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)))
| injective(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)
| ~ apply(esk2_0,esk9_7(X2,esk1_0,esk3_0,esk4_0,X3,esk7_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)),X1)
| ~ maps(esk2_0,X4,esk5_0)
| ~ member(esk9_7(X2,esk1_0,esk3_0,esk4_0,X3,esk7_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)),X4)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| apply(X1,esk9_7(X1,X2,X3,X4,X5,esk7_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5)) ),
inference(spm,[status(thm)],[c_0_42,c_0_25]) ).
cnf(c_0_47,negated_conjecture,
( injective(X1,esk3_0,X2)
| apply(esk1_0,esk6_3(X1,esk3_0,X2),esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(X1,esk3_0,X2))) ),
inference(spm,[status(thm)],[c_0_11,c_0_43]) ).
cnf(c_0_48,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X2,esk6_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7)))
| ~ member(esk6_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_14,c_0_44]) ).
cnf(c_0_49,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_9]) ).
cnf(c_0_50,negated_conjecture,
injective(esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_51,negated_conjecture,
( esk10_4(esk2_0,esk4_0,esk5_0,esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1))) = esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| injective(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| ~ maps(esk2_0,X2,esk5_0)
| ~ member(esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)),X2)
| ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk5_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( X1 = esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(X2,esk3_0,X3))
| injective(X2,esk3_0,X3)
| ~ apply(esk1_0,esk6_3(X2,esk3_0,X3),X1)
| ~ maps(esk1_0,X4,X5)
| ~ member(esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(X2,esk3_0,X3)),X5)
| ~ member(esk6_3(X2,esk3_0,X3),X4)
| ~ member(X1,X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( injective(X1,esk3_0,X2)
| member(esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(X1,esk3_0,X2)),esk4_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_43]) ).
cnf(c_0_54,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X6)
| apply(X2,esk6_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6)))
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_48,c_0_43]) ).
cnf(c_0_55,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
| ~ member(esk6_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_20,c_0_44]) ).
cnf(c_0_56,negated_conjecture,
( X1 = X2
| ~ apply(esk2_0,X2,X3)
| ~ apply(esk2_0,X1,X3)
| ~ member(X3,esk5_0)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
( esk10_4(esk2_0,esk4_0,esk5_0,esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1))) = esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| injective(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1)
| ~ member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X1),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_34]),c_0_21])]) ).
cnf(c_0_58,negated_conjecture,
~ injective(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_59,negated_conjecture,
( X1 = esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(X2,esk3_0,X3))
| injective(X2,esk3_0,X3)
| ~ apply(esk1_0,esk6_3(X2,esk3_0,X3),X1)
| ~ maps(esk1_0,X4,esk4_0)
| ~ member(esk6_3(X2,esk3_0,X3),X4)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| apply(X2,esk6_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5))) ),
inference(spm,[status(thm)],[c_0_54,c_0_25]) ).
cnf(c_0_61,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X6)
| member(esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),X4)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_55,c_0_43]) ).
cnf(c_0_62,negated_conjecture,
( X1 = esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3))
| injective(X2,esk3_0,X3)
| ~ apply(esk2_0,X1,esk10_4(esk2_0,esk4_0,esk5_0,esk10_4(esk1_0,esk3_0,esk4_0,esk7_3(X2,esk3_0,X3))))
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_31]),c_0_23]),c_0_37]) ).
cnf(c_0_63,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X1,esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
| ~ member(esk6_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3)
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5) ),
inference(spm,[status(thm)],[c_0_35,c_0_44]) ).
cnf(c_0_64,negated_conjecture,
( injective(compose_function(X1,X2,X3,esk4_0,X4),X3,X4)
| member(esk10_4(esk2_0,esk4_0,esk5_0,esk9_7(X1,X2,X3,esk4_0,X4,esk7_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4),esk8_3(compose_function(X1,X2,X3,esk4_0,X4),X3,X4))),esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_65,negated_conjecture,
esk10_4(esk2_0,esk4_0,esk5_0,esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))) = esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_25]),c_0_58]) ).
cnf(c_0_66,negated_conjecture,
injective(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_67,negated_conjecture,
( esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)) = esk9_7(X1,esk1_0,esk3_0,X2,X3,esk6_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3))
| injective(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)
| ~ maps(esk1_0,X4,esk4_0)
| ~ member(esk9_7(X1,esk1_0,esk3_0,X2,X3,esk6_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),esk8_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3)),esk4_0)
| ~ member(esk6_3(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| member(esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),X4) ),
inference(spm,[status(thm)],[c_0_61,c_0_25]) ).
cnf(c_0_69,negated_conjecture,
( X1 = esk9_7(X2,esk1_0,esk3_0,esk4_0,X3,esk7_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3))
| injective(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)
| ~ apply(esk2_0,X1,esk10_4(esk2_0,esk4_0,esk5_0,esk9_7(X2,esk1_0,esk3_0,esk4_0,X3,esk7_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3))))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_41]) ).
cnf(c_0_70,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X6)
| apply(X1,esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X3,X6),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6))
| ~ member(esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5) ),
inference(spm,[status(thm)],[c_0_63,c_0_43]) ).
cnf(c_0_71,negated_conjecture,
member(esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_58]) ).
cnf(c_0_72,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X2,X3)
| ~ apply(esk1_0,X1,X3)
| ~ member(X3,esk4_0)
| ~ member(X2,esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk9_7(X1,esk1_0,esk3_0,esk4_0,X2,esk6_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| injective(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)
| ~ maps(esk1_0,X3,esk4_0)
| ~ member(esk6_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
( X1 = esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| ~ apply(esk2_0,X1,esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_65]),c_0_58]) ).
cnf(c_0_75,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| apply(X1,esk9_7(X1,X2,X3,X4,X5,esk6_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),esk8_3(compose_function(X1,X2,X3,X4,X5),X3,X5)) ),
inference(spm,[status(thm)],[c_0_70,c_0_25]) ).
cnf(c_0_76,negated_conjecture,
member(esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk6_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_71]),c_0_58]) ).
cnf(c_0_77,negated_conjecture,
( X1 = esk6_3(X2,esk3_0,X3)
| injective(X2,esk3_0,X3)
| ~ apply(esk1_0,X1,esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(X2,esk3_0,X3)))
| ~ member(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_47]),c_0_43]),c_0_53]) ).
cnf(c_0_78,negated_conjecture,
( esk10_4(esk1_0,esk3_0,esk4_0,esk6_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2)) = esk9_7(X1,esk1_0,esk3_0,esk4_0,X2,esk6_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2),esk8_3(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2))
| injective(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_43]),c_0_8])]) ).
cnf(c_0_79,negated_conjecture,
esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)) = esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk6_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]),c_0_58]) ).
cnf(c_0_80,negated_conjecture,
( X1 = esk6_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)
| injective(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)
| ~ apply(esk1_0,X1,esk9_7(X2,esk1_0,esk3_0,esk4_0,X3,esk6_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3),esk8_3(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X3)))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
apply(esk1_0,esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk9_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk6_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk8_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_71]),c_0_58]),c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) = esk6_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0)
| ~ member(esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_58]) ).
cnf(c_0_83,plain,
( injective(X1,X2,X3)
| esk6_3(X1,X2,X3) != esk7_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_84,negated_conjecture,
esk7_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0) = esk6_3(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_12]),c_0_58]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET716+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 01:07:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.22/1.40 # Preprocessing time : 0.016 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 86
% 0.22/1.40 # Proof object clause steps : 77
% 0.22/1.40 # Proof object formula steps : 9
% 0.22/1.40 # Proof object conjectures : 49
% 0.22/1.40 # Proof object clause conjectures : 46
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 18
% 0.22/1.40 # Proof object initial formulas used : 4
% 0.22/1.40 # Proof object generating inferences : 59
% 0.22/1.40 # Proof object simplifying inferences : 22
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 29
% 0.22/1.40 # Removed by relevancy pruning/SinE : 25
% 0.22/1.40 # Initial clauses : 31
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 31
% 0.22/1.40 # Processed clauses : 250
% 0.22/1.40 # ...of these trivial : 3
% 0.22/1.40 # ...subsumed : 13
% 0.22/1.40 # ...remaining for further processing : 234
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 5
% 0.22/1.40 # Backward-rewritten : 10
% 0.22/1.40 # Generated clauses : 412
% 0.22/1.40 # ...of the previous two non-trivial : 367
% 0.22/1.40 # Contextual simplify-reflections : 24
% 0.22/1.40 # Paramodulations : 412
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 219
% 0.22/1.40 # Positive orientable unit clauses : 9
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 1
% 0.22/1.40 # Non-unit-clauses : 209
% 0.22/1.40 # Current number of unprocessed clauses: 123
% 0.22/1.40 # ...number of literals in the above : 639
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 15
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 7709
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 1633
% 0.22/1.40 # Non-unit clause-clause subsumptions : 42
% 0.22/1.40 # Unit Clause-clause subsumption calls : 70
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 136
% 0.22/1.40 # BW rewrite match successes : 4
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 26419
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.048 s
% 0.22/1.40 # System time : 0.004 s
% 0.22/1.40 # Total time : 0.052 s
% 0.22/1.40 # Maximum resident set size: 4124 pages
% 0.22/23.39 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------