%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET733+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 00:53:27 EDT 2022
% Result : Theorem 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 6 unt; 0 def)
% Number of atoms : 362 ( 29 equ)
% Maximal formula atoms : 55 ( 6 avg)
% Number of connectives : 525 ( 219 ~; 250 |; 43 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-7 aty)
% Number of variables : 243 ( 8 sgn 64 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(thII24,conjecture,
! [X6,X10,X1,X2] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X1)
& identity(compose_function(X10,X6,X1,X2,X1),X1) )
=> injective(X6,X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thII24) ).
fof(identity,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',identity) ).
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(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])])])])])])]) ).
cnf(c_0_6,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_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,plain,
( X1 = esk10_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X7)
| ~ maps(X2,X3,X4)
| ~ member(esk10_4(X2,X3,X4,X5),X7)
| ~ member(X5,X6)
| ~ member(X1,X7)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
( member(esk10_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
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,plain,
( X1 = esk10_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X4)
| ~ maps(X2,X3,X4)
| ~ member(X5,X6)
| ~ member(X1,X4)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,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]) ).
fof(c_0_13,negated_conjecture,
~ ! [X6,X10,X1,X2] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X1)
& identity(compose_function(X10,X6,X1,X2,X1),X1) )
=> injective(X6,X1,X2) ),
inference(assume_negation,[status(cth)],[thII24]) ).
cnf(c_0_14,plain,
( esk9_7(X1,X2,X3,X4,X5,X6,X7) = esk10_4(X2,X8,X9,X6)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ maps(X2,X10,X9)
| ~ maps(X2,X8,X9)
| ~ member(esk9_7(X1,X2,X3,X4,X5,X6,X7),X9)
| ~ member(X6,X10)
| ~ member(X6,X8)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,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]) ).
fof(c_0_16,negated_conjecture,
( maps(esk1_0,esk3_0,esk4_0)
& maps(esk2_0,esk4_0,esk3_0)
& identity(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk3_0),esk3_0)
& ~ injective(esk1_0,esk3_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_17,plain,
( esk9_7(X1,X2,X3,X4,X5,X6,X7) = esk10_4(X2,X8,X4,X6)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ maps(X2,X9,X4)
| ~ maps(X2,X8,X4)
| ~ member(X6,X9)
| ~ member(X6,X8)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
maps(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X7,X8,X9,X7,X8] :
( ( ~ identity(X7,X8)
| ~ member(X9,X8)
| apply(X7,X9,X9) )
& ( member(esk8_2(X7,X8),X8)
| identity(X7,X8) )
& ( ~ apply(X7,esk8_2(X7,X8),esk8_2(X7,X8))
| identity(X7,X8) ) ),
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)],[identity])])])])])])]) ).
cnf(c_0_20,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_21,negated_conjecture,
( esk9_7(X1,esk1_0,X2,esk4_0,X3,X4,X5) = esk10_4(esk1_0,X6,esk4_0,X4)
| ~ apply(compose_function(X1,esk1_0,X2,esk4_0,X3),X4,X5)
| ~ maps(esk1_0,X6,esk4_0)
| ~ member(X4,esk3_0)
| ~ member(X4,X6)
| ~ member(X4,X2)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ identity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
identity(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk3_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( apply(X1,esk10_4(esk1_0,X2,esk4_0,X3),X4)
| ~ apply(compose_function(X1,esk1_0,X5,esk4_0,X6),X3,X4)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(X3,esk3_0)
| ~ member(X3,X5)
| ~ member(X4,X6)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk3_0),X1,X1)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( esk10_4(X1,X2,X3,X4) = esk10_4(X1,X5,X6,X4)
| ~ maps(X1,X7,X6)
| ~ maps(X1,X5,X6)
| ~ maps(X1,X2,X3)
| ~ member(esk10_4(X1,X2,X3,X4),X6)
| ~ member(X4,X7)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( apply(esk2_0,esk10_4(esk1_0,X1,esk4_0,X2),X2)
| ~ maps(esk1_0,X1,esk4_0)
| ~ member(X2,esk3_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( esk10_4(X1,X2,X3,X4) = esk10_4(X1,X5,X3,X4)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X5,X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X6)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_9]) ).
cnf(c_0_29,negated_conjecture,
maps(esk2_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( esk10_4(esk2_0,X1,X2,esk10_4(esk1_0,X3,esk4_0,X4)) = X4
| ~ maps(esk1_0,X3,esk4_0)
| ~ maps(esk2_0,X5,X2)
| ~ maps(esk2_0,X1,X2)
| ~ member(esk10_4(esk1_0,X3,esk4_0,X4),X5)
| ~ member(esk10_4(esk1_0,X3,esk4_0,X4),X1)
| ~ member(X4,esk3_0)
| ~ member(X4,X2)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
fof(c_0_31,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(esk5_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk6_3(X15,X16,X17),X16)
| injective(X15,X16,X17) )
& ( member(esk7_3(X15,X16,X17),X17)
| injective(X15,X16,X17) )
& ( apply(X15,esk5_3(X15,X16,X17),esk7_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( apply(X15,esk6_3(X15,X16,X17),esk7_3(X15,X16,X17))
| injective(X15,X16,X17) )
& ( esk5_3(X15,X16,X17) != esk6_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_32,negated_conjecture,
( esk10_4(esk2_0,X1,esk3_0,X2) = esk10_4(esk2_0,X3,esk3_0,X2)
| ~ maps(esk2_0,X3,esk3_0)
| ~ maps(esk2_0,X1,esk3_0)
| ~ member(X2,esk4_0)
| ~ member(X2,X3)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( esk10_4(esk2_0,X1,X2,esk10_4(esk1_0,X3,esk4_0,X4)) = X4
| ~ maps(esk1_0,X3,esk4_0)
| ~ maps(esk2_0,esk4_0,X2)
| ~ maps(esk2_0,X1,X2)
| ~ member(esk10_4(esk1_0,X3,esk4_0,X4),X1)
| ~ member(X4,esk3_0)
| ~ member(X4,X2)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_9]) ).
cnf(c_0_34,plain,
( injective(X1,X2,X3)
| apply(X1,esk5_3(X1,X2,X3),esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( injective(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( esk10_4(esk2_0,X1,esk3_0,esk10_4(esk1_0,X2,esk4_0,X3)) = X3
| ~ maps(esk2_0,X1,esk3_0)
| ~ maps(esk2_0,X4,esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(esk10_4(esk1_0,X2,esk4_0,X3),X1)
| ~ member(esk10_4(esk1_0,X2,esk4_0,X3),X4)
| ~ member(X3,esk3_0)
| ~ member(X3,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_29])]),c_0_9]) ).
cnf(c_0_37,plain,
( esk10_4(X1,X2,X3,esk5_3(X1,X4,X5)) = esk7_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk5_3(X1,X4,X5),X6)
| ~ member(esk7_3(X1,X4,X5),X3)
| ~ member(esk5_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_34]) ).
cnf(c_0_38,plain,
( injective(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( esk10_4(X1,X2,X3,esk6_3(X1,X4,X5)) = esk7_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X6,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk6_3(X1,X4,X5),X6)
| ~ member(esk7_3(X1,X4,X5),X3)
| ~ member(esk6_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_35]) ).
cnf(c_0_40,plain,
( injective(X1,X2,X3)
| member(esk6_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
( esk10_4(esk2_0,X1,esk3_0,esk10_4(esk1_0,X2,esk4_0,X3)) = X3
| ~ maps(esk2_0,X1,esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(esk10_4(esk1_0,X2,esk4_0,X3),X1)
| ~ member(X3,esk3_0)
| ~ member(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_9]),c_0_29])]) ).
cnf(c_0_42,plain,
( esk10_4(X1,X2,X3,esk5_3(X1,X4,X5)) = esk7_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk7_3(X1,X4,X5),X3)
| ~ member(esk5_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( esk10_4(X1,X2,X3,esk6_3(X1,X4,X5)) = esk7_3(X1,X4,X5)
| injective(X1,X4,X5)
| ~ maps(X1,X4,X3)
| ~ maps(X1,X2,X3)
| ~ member(esk7_3(X1,X4,X5),X3)
| ~ member(esk6_3(X1,X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( esk10_4(esk2_0,X1,esk3_0,esk7_3(esk1_0,X2,X3)) = esk5_3(esk1_0,X2,X3)
| injective(esk1_0,X2,X3)
| ~ maps(esk2_0,X1,esk3_0)
| ~ maps(esk1_0,X4,esk4_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(esk5_3(esk1_0,X2,X3),esk3_0)
| ~ member(esk7_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk7_3(esk1_0,X2,X3),X1)
| ~ member(esk5_3(esk1_0,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( esk10_4(esk2_0,X1,esk3_0,esk7_3(esk1_0,X2,X3)) = esk6_3(esk1_0,X2,X3)
| injective(esk1_0,X2,X3)
| ~ maps(esk2_0,X1,esk3_0)
| ~ maps(esk1_0,X4,esk4_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(esk6_3(esk1_0,X2,X3),esk3_0)
| ~ member(esk7_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk7_3(esk1_0,X2,X3),X1)
| ~ member(esk6_3(esk1_0,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( esk10_4(esk2_0,X1,esk3_0,esk7_3(esk1_0,X2,X3)) = esk5_3(esk1_0,X2,X3)
| injective(esk1_0,X2,X3)
| ~ maps(esk2_0,X1,esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(esk5_3(esk1_0,X2,X3),esk3_0)
| ~ member(esk7_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk7_3(esk1_0,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
( esk10_4(esk2_0,X1,esk3_0,esk7_3(esk1_0,X2,X3)) = esk6_3(esk1_0,X2,X3)
| injective(esk1_0,X2,X3)
| ~ maps(esk2_0,X1,esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ member(esk6_3(esk1_0,X2,X3),esk3_0)
| ~ member(esk7_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk7_3(esk1_0,X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_40]) ).
cnf(c_0_48,plain,
( injective(X1,X2,X3)
| esk5_3(X1,X2,X3) != esk6_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49,negated_conjecture,
( injective(esk1_0,X1,X2)
| ~ maps(esk2_0,X3,esk3_0)
| ~ maps(esk1_0,X1,esk4_0)
| ~ member(esk5_3(esk1_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk1_0,X1,X2),esk4_0)
| ~ member(esk6_3(esk1_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk1_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_50,plain,
( injective(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_51,negated_conjecture,
( injective(esk1_0,X1,esk4_0)
| ~ maps(esk2_0,X2,esk3_0)
| ~ maps(esk1_0,X1,esk4_0)
| ~ member(esk5_3(esk1_0,X1,esk4_0),esk3_0)
| ~ member(esk6_3(esk1_0,X1,esk4_0),esk3_0)
| ~ member(esk7_3(esk1_0,X1,esk4_0),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_52,negated_conjecture,
( injective(esk1_0,X1,esk4_0)
| ~ maps(esk1_0,X1,esk4_0)
| ~ member(esk5_3(esk1_0,X1,esk4_0),esk3_0)
| ~ member(esk6_3(esk1_0,X1,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_29])]) ).
cnf(c_0_53,negated_conjecture,
~ injective(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_54,negated_conjecture,
~ member(esk5_3(esk1_0,esk3_0,esk4_0),esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_40]),c_0_18])]),c_0_53]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_38]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET733+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 09:37:32 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.44 # Preprocessing time : 0.017 s
% 0.26/1.44
% 0.26/1.44 # Proof found!
% 0.26/1.44 # SZS status Theorem
% 0.26/1.44 # SZS output start CNFRefutation
% See solution above
% 0.26/1.44 # Proof object total steps : 56
% 0.26/1.44 # Proof object clause steps : 45
% 0.26/1.44 # Proof object formula steps : 11
% 0.26/1.44 # Proof object conjectures : 25
% 0.26/1.44 # Proof object clause conjectures : 22
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 17
% 0.26/1.44 # Proof object initial formulas used : 5
% 0.26/1.44 # Proof object generating inferences : 28
% 0.26/1.44 # Proof object simplifying inferences : 12
% 0.26/1.44 # Training examples: 0 positive, 0 negative
% 0.26/1.44 # Parsed axioms : 29
% 0.26/1.44 # Removed by relevancy pruning/SinE : 24
% 0.26/1.44 # Initial clauses : 33
% 0.26/1.44 # Removed in clause preprocessing : 0
% 0.26/1.44 # Initial clauses in saturation : 33
% 0.26/1.44 # Processed clauses : 383
% 0.26/1.44 # ...of these trivial : 0
% 0.26/1.44 # ...subsumed : 163
% 0.26/1.44 # ...remaining for further processing : 220
% 0.26/1.44 # Other redundant clauses eliminated : 0
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 12
% 0.26/1.44 # Backward-rewritten : 0
% 0.26/1.44 # Generated clauses : 1306
% 0.26/1.44 # ...of the previous two non-trivial : 1245
% 0.26/1.44 # Contextual simplify-reflections : 420
% 0.26/1.44 # Paramodulations : 1306
% 0.26/1.44 # Factorizations : 0
% 0.26/1.44 # Equation resolutions : 0
% 0.26/1.44 # Current number of processed clauses : 208
% 0.26/1.44 # Positive orientable unit clauses : 3
% 0.26/1.44 # Positive unorientable unit clauses: 0
% 0.26/1.44 # Negative unit clauses : 2
% 0.26/1.44 # Non-unit-clauses : 203
% 0.26/1.44 # Current number of unprocessed clauses: 883
% 0.26/1.44 # ...number of literals in the above : 9953
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 12
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 31475
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 2291
% 0.26/1.44 # Non-unit clause-clause subsumptions : 595
% 0.26/1.44 # Unit Clause-clause subsumption calls : 56
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 0
% 0.26/1.44 # BW rewrite match successes : 0
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 65820
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.150 s
% 0.26/1.44 # System time : 0.004 s
% 0.26/1.44 # Total time : 0.154 s
% 0.26/1.44 # Maximum resident set size: 5444 pages
% 0.26/23.44 eprover: CPU time limit exceeded, terminating
% 0.26/23.44 eprover: CPU time limit exceeded, terminating
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------