TSTP Solution File: SET708+4 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET708+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 00:53:16 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 49 ( 6 unt; 0 def)
% Number of atoms : 363 ( 21 equ)
% Maximal formula atoms : 55 ( 7 avg)
% Number of connectives : 534 ( 220 ~; 252 |; 50 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-6 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-8 aty)
% Number of variables : 256 ( 13 sgn 74 !; 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_predicate,axiom,
! [X9,X10,X6,X1,X2,X11] :
( compose_predicate(X9,X10,X6,X1,X2,X11)
<=> ! [X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(X9,X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',compose_predicate) ).
fof(thII01a,conjecture,
! [X6,X10,X17,X18,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& compose_predicate(X17,X10,X6,X1,X2,X11)
& compose_predicate(X18,X10,X6,X1,X2,X11) )
=> equal_maps(X17,X18,X1,X11) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thII01a) ).
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/sandbox2/benchmark/Axioms/SET006+1.ax',equal_maps) ).
fof(c_0_4,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk15_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk15_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(esk17_3(X9,X10,X11),X10)
| member(esk16_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk18_3(X9,X10,X11),X11)
| member(esk16_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk19_3(X9,X10,X11),X11)
| member(esk16_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk17_3(X9,X10,X11),esk18_3(X9,X10,X11))
| member(esk16_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk17_3(X9,X10,X11),esk19_3(X9,X10,X11))
| member(esk16_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk18_3(X9,X10,X11) != esk19_3(X9,X10,X11)
| member(esk16_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk17_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk16_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk18_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk16_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk19_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk16_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk17_3(X9,X10,X11),esk18_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk16_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk17_3(X9,X10,X11),esk19_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk16_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk18_3(X9,X10,X11) != esk19_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk16_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_5,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_4]) ).
cnf(c_0_6,plain,
( apply(X1,X4,esk15_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( X1 = esk15_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X7)
| ~ maps(X2,X3,X4)
| ~ member(esk15_4(X2,X3,X4,X5),X7)
| ~ member(X5,X6)
| ~ member(X1,X7)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
( member(esk15_4(X1,X2,X3,X4),X3)
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20,X22,X13,X14,X15,X16,X17,X18,X25] :
( ( member(esk11_8(X13,X14,X15,X16,X17,X18,X19,X20),X17)
| ~ apply(X13,X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18)
| ~ compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( apply(X15,X19,esk11_8(X13,X14,X15,X16,X17,X18,X19,X20))
| ~ apply(X13,X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18)
| ~ compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( apply(X14,esk11_8(X13,X14,X15,X16,X17,X18,X19,X20),X20)
| ~ apply(X13,X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18)
| ~ compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( ~ member(X22,X17)
| ~ apply(X15,X19,X22)
| ~ apply(X14,X22,X20)
| apply(X13,X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18)
| ~ compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( member(esk12_6(X13,X14,X15,X16,X17,X18),X16)
| compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( member(esk13_6(X13,X14,X15,X16,X17,X18),X18)
| compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( ~ apply(X13,esk12_6(X13,X14,X15,X16,X17,X18),esk13_6(X13,X14,X15,X16,X17,X18))
| ~ member(X25,X17)
| ~ apply(X15,esk12_6(X13,X14,X15,X16,X17,X18),X25)
| ~ apply(X14,X25,esk13_6(X13,X14,X15,X16,X17,X18))
| compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( member(esk14_6(X13,X14,X15,X16,X17,X18),X17)
| apply(X13,esk12_6(X13,X14,X15,X16,X17,X18),esk13_6(X13,X14,X15,X16,X17,X18))
| compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( apply(X15,esk12_6(X13,X14,X15,X16,X17,X18),esk14_6(X13,X14,X15,X16,X17,X18))
| apply(X13,esk12_6(X13,X14,X15,X16,X17,X18),esk13_6(X13,X14,X15,X16,X17,X18))
| compose_predicate(X13,X14,X15,X16,X17,X18) )
& ( apply(X14,esk14_6(X13,X14,X15,X16,X17,X18),esk13_6(X13,X14,X15,X16,X17,X18))
| apply(X13,esk12_6(X13,X14,X15,X16,X17,X18),esk13_6(X13,X14,X15,X16,X17,X18))
| compose_predicate(X13,X14,X15,X16,X17,X18) ) ),
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_predicate])])])])])])]) ).
cnf(c_0_10,plain,
( X1 = esk15_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_7,c_0_8]) ).
cnf(c_0_11,plain,
( apply(X3,X8,esk11_8(X1,X2,X3,X4,X5,X6,X8,X7))
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,negated_conjecture,
~ ! [X6,X10,X17,X18,X1,X2,X11] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& compose_predicate(X17,X10,X6,X1,X2,X11)
& compose_predicate(X18,X10,X6,X1,X2,X11) )
=> equal_maps(X17,X18,X1,X11) ),
inference(assume_negation,[status(cth)],[thII01a]) ).
cnf(c_0_13,plain,
( esk11_8(X1,X2,X3,X4,X5,X6,X7,X8) = esk15_4(X3,X9,X10,X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ apply(X1,X7,X8)
| ~ maps(X3,X11,X10)
| ~ maps(X3,X9,X10)
| ~ member(esk11_8(X1,X2,X3,X4,X5,X6,X7,X8),X10)
| ~ member(X7,X11)
| ~ member(X7,X9)
| ~ member(X7,X4)
| ~ member(X8,X6) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( member(esk11_8(X1,X2,X3,X4,X5,X6,X8,X7),X5)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,negated_conjecture,
( maps(esk1_0,esk5_0,esk6_0)
& maps(esk2_0,esk6_0,esk7_0)
& compose_predicate(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0)
& compose_predicate(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0)
& ~ equal_maps(esk3_0,esk4_0,esk5_0,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_16,plain,
( esk11_8(X1,X2,X3,X4,X5,X6,X7,X8) = esk15_4(X3,X9,X5,X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ apply(X1,X7,X8)
| ~ maps(X3,X10,X5)
| ~ maps(X3,X9,X5)
| ~ member(X7,X10)
| ~ member(X7,X9)
| ~ member(X7,X4)
| ~ member(X8,X6) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
maps(esk1_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( apply(X2,esk11_8(X1,X2,X3,X4,X5,X6,X8,X7),X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( esk11_8(X1,X2,esk1_0,X3,esk6_0,X4,X5,X6) = esk15_4(esk1_0,X7,esk6_0,X5)
| ~ compose_predicate(X1,X2,esk1_0,X3,esk6_0,X4)
| ~ apply(X1,X5,X6)
| ~ maps(esk1_0,X7,esk6_0)
| ~ member(X5,esk5_0)
| ~ member(X5,X7)
| ~ member(X5,X3)
| ~ member(X6,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( apply(X1,esk15_4(esk1_0,X2,esk6_0,X3),X4)
| ~ compose_predicate(X5,X1,esk1_0,X6,esk6_0,X7)
| ~ apply(X5,X3,X4)
| ~ maps(esk1_0,X2,esk6_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X6)
| ~ member(X4,X7)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
compose_predicate(esk4_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( apply(esk2_0,esk15_4(esk1_0,X1,esk6_0,X2),X3)
| ~ apply(esk4_0,X2,X3)
| ~ maps(esk1_0,X1,esk6_0)
| ~ member(X2,esk5_0)
| ~ member(X3,esk7_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
( apply(X1,X8,X7)
| ~ compose_predicate(X1,X2,X3,X4,X5,X6)
| ~ member(X7,X6)
| ~ member(X8,X4)
| ~ apply(X2,X9,X7)
| ~ apply(X3,X8,X9)
| ~ member(X9,X5) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
( X1 = X2
| ~ apply(esk2_0,esk15_4(esk1_0,X3,esk6_0,X4),X1)
| ~ apply(esk4_0,X4,X2)
| ~ maps(esk1_0,X3,esk6_0)
| ~ maps(esk2_0,X5,X6)
| ~ member(esk15_4(esk1_0,X3,esk6_0,X4),X5)
| ~ member(X4,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( apply(esk4_0,X1,X2)
| ~ apply(esk1_0,X1,X3)
| ~ apply(esk2_0,X3,X2)
| ~ member(X3,esk6_0)
| ~ member(X1,esk5_0)
| ~ member(X2,esk7_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( X1 = X2
| ~ apply(esk4_0,X3,X2)
| ~ apply(esk4_0,X3,X1)
| ~ maps(esk1_0,X4,esk6_0)
| ~ maps(esk2_0,X5,X6)
| ~ member(esk15_4(esk1_0,X4,esk6_0,X3),X5)
| ~ member(X3,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,esk7_0)
| ~ member(X2,X6)
| ~ member(X1,X6)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( apply(esk4_0,X1,X2)
| ~ compose_predicate(X3,X4,esk1_0,X5,X6,X7)
| ~ apply(esk2_0,esk11_8(X3,X4,esk1_0,X5,X6,X7,X1,X8),X2)
| ~ apply(X3,X1,X8)
| ~ member(esk11_8(X3,X4,esk1_0,X5,X6,X7,X1,X8),esk6_0)
| ~ member(X1,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,X5)
| ~ member(X8,X7) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_28,negated_conjecture,
( X1 = X2
| ~ apply(esk4_0,X3,X2)
| ~ apply(esk4_0,X3,X1)
| ~ maps(esk1_0,X4,esk6_0)
| ~ maps(esk2_0,esk6_0,X5)
| ~ member(X3,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,esk7_0)
| ~ member(X2,X5)
| ~ member(X1,X5)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_26,c_0_8]) ).
cnf(c_0_29,negated_conjecture,
( apply(esk4_0,X1,X2)
| ~ compose_predicate(X3,esk2_0,esk1_0,X4,X5,X6)
| ~ apply(X3,X1,X2)
| ~ member(esk11_8(X3,esk2_0,esk1_0,X4,X5,X6,X1,X2),esk6_0)
| ~ member(X1,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,X4)
| ~ member(X2,X6) ),
inference(spm,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_30,negated_conjecture,
( X1 = X2
| ~ apply(esk4_0,X3,X2)
| ~ apply(esk4_0,X3,X1)
| ~ maps(esk2_0,esk6_0,X4)
| ~ member(X3,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,esk7_0)
| ~ member(X2,X4)
| ~ member(X1,X4) ),
inference(spm,[status(thm)],[c_0_28,c_0_17]) ).
cnf(c_0_31,negated_conjecture,
maps(esk2_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,negated_conjecture,
( apply(esk4_0,X1,X2)
| ~ compose_predicate(X3,esk2_0,esk1_0,X4,esk6_0,X5)
| ~ apply(X3,X1,X2)
| ~ member(X1,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,X4)
| ~ member(X2,X5) ),
inference(spm,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_33,negated_conjecture,
compose_predicate(esk3_0,esk2_0,esk1_0,esk5_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,negated_conjecture,
( X1 = X2
| ~ apply(esk4_0,X3,X2)
| ~ apply(esk4_0,X3,X1)
| ~ member(X3,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( apply(esk4_0,X1,X2)
| ~ apply(esk3_0,X1,X2)
| ~ member(X1,esk5_0)
| ~ member(X2,esk7_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_36,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(esk8_4(X11,X12,X13,X14),X13)
| equal_maps(X11,X12,X13,X14) )
& ( member(esk9_4(X11,X12,X13,X14),X14)
| equal_maps(X11,X12,X13,X14) )
& ( member(esk10_4(X11,X12,X13,X14),X14)
| equal_maps(X11,X12,X13,X14) )
& ( apply(X11,esk8_4(X11,X12,X13,X14),esk9_4(X11,X12,X13,X14))
| equal_maps(X11,X12,X13,X14) )
& ( apply(X12,esk8_4(X11,X12,X13,X14),esk10_4(X11,X12,X13,X14))
| equal_maps(X11,X12,X13,X14) )
& ( esk9_4(X11,X12,X13,X14) != esk10_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_37,negated_conjecture,
( X1 = X2
| ~ apply(esk4_0,X3,X1)
| ~ apply(esk3_0,X3,X2)
| ~ member(X3,esk5_0)
| ~ member(X2,esk7_0)
| ~ member(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk8_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( esk10_4(X1,esk4_0,X2,X3) = X4
| equal_maps(X1,esk4_0,X2,X3)
| ~ apply(esk3_0,esk8_4(X1,esk4_0,X2,X3),X4)
| ~ member(esk8_4(X1,esk4_0,X2,X3),esk5_0)
| ~ member(esk10_4(X1,esk4_0,X2,X3),esk7_0)
| ~ member(X4,esk7_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk8_4(X1,X2,X3,X4),esk9_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( equal_maps(X1,X2,X3,X4)
| esk9_4(X1,X2,X3,X4) != esk10_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( equal_maps(esk3_0,esk4_0,X1,X2)
| ~ member(esk8_4(esk3_0,esk4_0,X1,X2),esk5_0)
| ~ member(esk10_4(esk3_0,esk4_0,X1,X2),esk7_0)
| ~ member(esk9_4(esk3_0,esk4_0,X1,X2),esk7_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_43,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk9_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
( equal_maps(esk3_0,esk4_0,X1,esk7_0)
| ~ member(esk8_4(esk3_0,esk4_0,X1,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_46,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk8_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,negated_conjecture,
~ equal_maps(esk3_0,esk4_0,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET708+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.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 08:31:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 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 : 49
% 0.24/1.42 # Proof object clause steps : 40
% 0.24/1.42 # Proof object formula steps : 9
% 0.24/1.42 # Proof object conjectures : 26
% 0.24/1.42 # Proof object clause conjectures : 23
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 18
% 0.24/1.42 # Proof object initial formulas used : 4
% 0.24/1.42 # Proof object generating inferences : 22
% 0.24/1.42 # Proof object simplifying inferences : 3
% 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 : 25
% 0.24/1.42 # Initial clauses : 37
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 37
% 0.24/1.42 # Processed clauses : 484
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 173
% 0.24/1.42 # ...remaining for further processing : 311
% 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 : 24
% 0.24/1.42 # Backward-rewritten : 0
% 0.24/1.42 # Generated clauses : 1732
% 0.24/1.42 # ...of the previous two non-trivial : 1718
% 0.24/1.42 # Contextual simplify-reflections : 454
% 0.24/1.42 # Paramodulations : 1732
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 287
% 0.24/1.42 # Positive orientable unit clauses : 5
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 3
% 0.24/1.42 # Non-unit-clauses : 279
% 0.24/1.42 # Current number of unprocessed clauses: 1230
% 0.24/1.42 # ...number of literals in the above : 13072
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 24
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 41985
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 2854
% 0.24/1.42 # Non-unit clause-clause subsumptions : 649
% 0.24/1.42 # Unit Clause-clause subsumption calls : 197
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 2
% 0.24/1.42 # BW rewrite match successes : 0
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 71839
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.168 s
% 0.24/1.42 # System time : 0.005 s
% 0.24/1.42 # Total time : 0.173 s
% 0.24/1.42 # Maximum resident set size: 5464 pages
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------