TSTP Solution File: SYN415+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 : Thu Jul 21 05:54:06 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 1
% Syntax : Number of formulae : 118 ( 7 unt; 0 def)
% Number of atoms : 480 ( 196 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 554 ( 192 ~; 341 |; 15 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 153 ( 40 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish317,conjecture,
( ( ? [X1] : f(X1)
& ! [X2,X3] :
( ( f(X2)
& f(X3) )
=> X2 = X3 ) )
<=> ? [X4] :
( f(X4)
& ! [X5] :
( f(X5)
=> X4 = X5 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',kalish317) ).
fof(c_0_1,negated_conjecture,
~ ( ( ? [X1] : f(X1)
& ! [X2,X3] :
( ( f(X2)
& f(X3) )
=> X2 = X3 ) )
<=> ? [X4] :
( f(X4)
& ! [X5] :
( f(X5)
=> X4 = X5 ) ) ),
inference(assume_negation,[status(cth)],[kalish317]) ).
fof(c_0_2,negated_conjecture,
! [X6,X9,X12,X13,X15] :
( ( f(esk3_1(X9))
| ~ f(X9)
| f(esk1_0)
| ~ f(X6) )
& ( X9 != esk3_1(X9)
| ~ f(X9)
| f(esk1_0)
| ~ f(X6) )
& ( f(esk3_1(X9))
| ~ f(X9)
| f(esk2_0)
| ~ f(X6) )
& ( X9 != esk3_1(X9)
| ~ f(X9)
| f(esk2_0)
| ~ f(X6) )
& ( f(esk3_1(X9))
| ~ f(X9)
| esk1_0 != esk2_0
| ~ f(X6) )
& ( X9 != esk3_1(X9)
| ~ f(X9)
| esk1_0 != esk2_0
| ~ f(X6) )
& ( f(esk5_0)
| f(esk4_0) )
& ( ~ f(X15)
| esk5_0 = X15
| f(esk4_0) )
& ( f(esk5_0)
| ~ f(X12)
| ~ f(X13)
| X12 = X13 )
& ( ~ f(X15)
| esk5_0 = X15
| ~ f(X12)
| ~ f(X13)
| X12 = X13 ) ),
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)],[c_0_1])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( f(esk3_1(X2))
| ~ f(X1)
| esk1_0 != esk2_0
| ~ f(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( f(esk4_0)
| f(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( f(esk2_0)
| f(esk3_1(X2))
| ~ f(X1)
| ~ f(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( f(esk1_0)
| f(esk3_1(X2))
| ~ f(X1)
| ~ f(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( f(esk4_0)
| esk5_0 = X1
| ~ f(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( f(esk3_1(X1))
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( f(esk3_1(X1))
| f(esk2_0)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_4]),c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( f(esk3_1(X1))
| f(esk1_0)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_4]),c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( ~ f(X1)
| esk1_0 != esk2_0
| ~ f(X2)
| X2 != esk3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( esk3_1(X1) = esk5_0
| f(esk4_0)
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( f(esk2_0)
| ~ f(X1)
| ~ f(X2)
| X2 != esk3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( esk3_1(X1) = esk5_0
| f(esk2_0)
| f(esk4_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( f(esk1_0)
| ~ f(X1)
| ~ f(X2)
| X2 != esk3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( esk3_1(X1) = esk5_0
| f(esk1_0)
| f(esk4_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( f(esk4_0)
| esk2_0 != esk1_0
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( X1 = X2
| f(esk5_0)
| ~ f(X2)
| ~ f(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( f(esk4_0)
| f(esk2_0)
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( f(esk4_0)
| f(esk1_0)
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( f(esk4_0)
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( X1 = esk3_1(X2)
| f(esk1_0)
| f(esk5_0)
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_23,negated_conjecture,
( f(esk2_0)
| f(esk4_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_4]) ).
cnf(c_0_24,negated_conjecture,
( f(esk1_0)
| f(esk4_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_4]) ).
cnf(c_0_25,negated_conjecture,
( X1 = X2
| esk5_0 = X3
| ~ f(X2)
| ~ f(X1)
| ~ f(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( f(esk4_0)
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_4]) ).
cnf(c_0_27,negated_conjecture,
( esk3_1(X1) = esk3_1(X2)
| f(esk5_0)
| f(esk1_0)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_10]) ).
cnf(c_0_28,negated_conjecture,
( f(esk4_0)
| f(esk2_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_4]) ).
cnf(c_0_29,negated_conjecture,
( f(esk4_0)
| f(esk1_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_4]) ).
cnf(c_0_30,negated_conjecture,
( esk5_0 = esk4_0
| X1 = X2
| esk2_0 != esk1_0
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( f(esk5_0)
| f(esk1_0)
| ~ f(X1)
| ~ f(X2)
| ~ f(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_27]),c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( esk2_0 = esk5_0
| f(esk4_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( esk1_0 = esk5_0
| f(esk4_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( esk5_0 = esk4_0
| X1 = esk4_0
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( esk2_0 = esk5_0
| f(esk1_0)
| f(esk5_0)
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( esk1_0 = esk5_0
| f(esk1_0)
| f(esk5_0)
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( esk3_1(X1) = esk4_0
| esk5_0 = esk4_0
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_8]) ).
cnf(c_0_38,negated_conjecture,
( esk2_0 = esk5_0
| f(esk5_0)
| f(esk1_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( esk1_0 = esk5_0
| f(esk5_0)
| f(esk1_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( esk5_0 = esk4_0
| esk2_0 != esk1_0
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_37]),c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( esk2_0 = esk5_0
| esk5_0 = esk4_0
| X1 = X2
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_32]) ).
cnf(c_0_42,negated_conjecture,
( esk2_0 = esk5_0
| X1 = esk4_0
| f(esk5_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( esk2_0 = esk5_0
| f(esk1_0)
| f(esk5_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( esk1_0 = esk5_0
| esk5_0 = esk4_0
| X1 = X2
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_33]) ).
cnf(c_0_45,negated_conjecture,
( esk1_0 = esk5_0
| X1 = esk4_0
| f(esk5_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_46,negated_conjecture,
( esk1_0 = esk5_0
| f(esk1_0)
| f(esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_47,negated_conjecture,
( esk5_0 = esk4_0
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( esk5_0 = esk4_0
| esk2_0 = esk5_0
| X1 = esk4_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_32]) ).
cnf(c_0_49,negated_conjecture,
( esk1_0 = esk4_0
| esk2_0 = esk5_0
| f(esk5_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,negated_conjecture,
( esk5_0 = esk4_0
| esk1_0 = esk5_0
| X1 = esk4_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_33]) ).
cnf(c_0_51,negated_conjecture,
( esk1_0 = esk4_0
| esk1_0 = esk5_0
| f(esk5_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( X1 = esk3_1(X2)
| f(esk2_0)
| f(esk5_0)
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_53,negated_conjecture,
( esk5_0 = esk4_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_26]) ).
cnf(c_0_54,negated_conjecture,
( esk1_0 = esk4_0
| esk2_0 = esk5_0
| esk5_0 = esk4_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( esk1_0 = esk4_0
| esk1_0 = esk5_0
| esk5_0 = esk4_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( esk3_1(X1) = esk4_0
| esk1_0 = esk5_0
| f(esk5_0)
| f(esk2_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_33]) ).
cnf(c_0_57,negated_conjecture,
( esk1_0 = esk4_0
| esk5_0 = esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( esk1_0 = esk5_0
| f(esk5_0)
| f(esk2_0)
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_56]),c_0_45]) ).
cnf(c_0_59,negated_conjecture,
( esk5_0 = esk4_0
| f(esk4_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( esk1_0 = esk5_0
| f(esk2_0)
| f(esk5_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_33]) ).
cnf(c_0_61,negated_conjecture,
( esk5_0 = esk4_0
| X1 = X2
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( esk1_0 = esk5_0
| f(esk5_0)
| f(esk2_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_33]) ).
cnf(c_0_63,negated_conjecture,
( esk3_1(X1) = esk5_0
| X2 = X3
| f(esk1_0)
| ~ f(X3)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_10]) ).
cnf(c_0_64,negated_conjecture,
( esk5_0 = esk4_0
| X1 = esk4_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( esk2_0 = esk4_0
| esk1_0 = esk5_0
| f(esk5_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( esk3_1(X1) = esk5_0
| X2 = esk3_1(X3)
| f(esk1_0)
| ~ f(X2)
| ~ f(X1)
| ~ f(X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_10]) ).
cnf(c_0_67,negated_conjecture,
( esk1_0 = esk5_0
| esk2_0 = esk4_0
| esk5_0 = esk4_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
( esk3_1(X1) = esk3_1(X2)
| esk3_1(X3) = esk5_0
| f(esk1_0)
| ~ f(X3)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_10]) ).
cnf(c_0_69,negated_conjecture,
( esk1_0 = esk5_0
| esk5_0 = esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_67]),c_0_57]) ).
cnf(c_0_70,negated_conjecture,
( esk3_1(esk4_0) = esk5_0
| esk3_1(X1) = esk3_1(X2)
| esk1_0 = esk5_0
| f(esk1_0)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_33]) ).
cnf(c_0_71,negated_conjecture,
esk5_0 = esk4_0,
inference(spm,[status(thm)],[c_0_57,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( esk3_1(X1) = esk5_0
| X2 = X3
| f(esk2_0)
| ~ f(X3)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_9]) ).
cnf(c_0_73,negated_conjecture,
( esk3_1(X1) = esk3_1(X2)
| esk3_1(esk4_0) = esk4_0
| esk1_0 = esk4_0
| f(esk1_0)
| ~ f(X2)
| ~ f(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( esk1_0 = esk4_0
| f(esk4_0) ),
inference(rw,[status(thm)],[c_0_33,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( esk3_1(X1) = esk5_0
| X2 = esk3_1(X3)
| f(esk2_0)
| ~ f(X2)
| ~ f(X1)
| ~ f(X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_9]) ).
cnf(c_0_76,negated_conjecture,
( esk3_1(X1) = esk3_1(esk4_0)
| esk3_1(esk4_0) = esk4_0
| esk1_0 = esk4_0
| f(esk1_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
( esk3_1(X1) = esk4_0
| esk3_1(X2) = esk5_0
| esk2_0 = esk5_0
| f(esk2_0)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_32]) ).
cnf(c_0_78,negated_conjecture,
( esk3_1(X1) = esk5_0
| esk1_0 = esk5_0
| X2 = esk4_0
| f(esk1_0)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_33]) ).
cnf(c_0_79,negated_conjecture,
( esk3_1(esk4_0) = esk4_0
| esk1_0 = esk4_0
| f(esk3_1(esk4_0))
| f(esk1_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( esk3_1(X1) = esk4_0
| esk3_1(X2) = esk4_0
| esk2_0 = esk4_0
| f(esk2_0)
| ~ f(X1)
| ~ f(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_71]),c_0_71]) ).
cnf(c_0_81,negated_conjecture,
( esk2_0 = esk4_0
| f(esk4_0) ),
inference(rw,[status(thm)],[c_0_32,c_0_71]) ).
cnf(c_0_82,negated_conjecture,
( esk3_1(X1) = esk4_0
| esk1_0 = esk4_0
| X2 = esk4_0
| f(esk1_0)
| ~ f(X2)
| ~ f(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_71]),c_0_71]) ).
cnf(c_0_83,negated_conjecture,
( esk3_1(esk4_0) = esk4_0
| esk1_0 = esk4_0
| f(esk3_1(esk4_0))
| f(esk1_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( esk3_1(esk4_0) = esk4_0
| esk1_0 = esk4_0
| f(esk1_0)
| esk3_1(X1) != esk4_0
| ~ f(X1) ),
inference(ef,[status(thm)],[c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( X1 = esk3_1(X2)
| f(esk5_0)
| esk2_0 != esk1_0
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_8]) ).
cnf(c_0_86,negated_conjecture,
( esk3_1(esk4_0) = esk4_0
| esk3_1(X1) = esk4_0
| esk2_0 = esk4_0
| f(esk2_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( esk3_1(esk4_0) = esk4_0
| esk1_0 = esk4_0
| f(esk1_0)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( esk3_1(X1) = esk4_0
| f(esk5_0)
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_26]) ).
cnf(c_0_89,negated_conjecture,
( X1 = esk4_0
| f(esk5_0)
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_90,negated_conjecture,
( esk3_1(esk4_0) = esk4_0
| esk2_0 = esk4_0
| f(esk2_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_81]) ).
cnf(c_0_91,negated_conjecture,
f(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_71])]) ).
cnf(c_0_92,negated_conjecture,
( esk3_1(esk4_0) = esk4_0
| esk1_0 = esk4_0
| f(esk1_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_74]) ).
cnf(c_0_93,negated_conjecture,
( f(esk5_0)
| esk2_0 != esk1_0
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_88]),c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( esk2_0 = esk4_0
| f(esk2_0)
| ~ f(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_90]),c_0_91])]) ).
cnf(c_0_95,negated_conjecture,
( esk1_0 = esk4_0
| f(esk1_0)
| ~ f(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_92]),c_0_91])]) ).
cnf(c_0_96,negated_conjecture,
( esk3_1(X1) = esk5_0
| X2 = X3
| esk2_0 != esk1_0
| ~ f(X3)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_8]) ).
cnf(c_0_97,negated_conjecture,
( f(esk5_0)
| esk2_0 != esk1_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_26]) ).
cnf(c_0_98,negated_conjecture,
( esk4_0 = X1
| X2 = X3
| ~ f(X1)
| ~ f(X3)
| ~ f(X2) ),
inference(rw,[status(thm)],[c_0_25,c_0_71]) ).
cnf(c_0_99,negated_conjecture,
( esk2_0 = esk4_0
| f(esk2_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_81]) ).
cnf(c_0_100,negated_conjecture,
( esk1_0 = esk4_0
| f(esk1_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_74]) ).
cnf(c_0_101,negated_conjecture,
( esk3_1(X1) = esk5_0
| X2 = esk3_1(X3)
| esk2_0 != esk1_0
| ~ f(X2)
| ~ f(X1)
| ~ f(X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_8]) ).
cnf(c_0_102,negated_conjecture,
( f(esk5_0)
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_26]) ).
cnf(c_0_103,negated_conjecture,
( esk2_0 = esk4_0
| X1 = X2
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,negated_conjecture,
( esk1_0 = esk4_0
| X1 = X2
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( esk3_1(X1) = esk5_0
| esk3_1(X2) = esk5_0
| esk2_0 != esk1_0
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( esk2_0 = esk4_0
| X1 = esk4_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_81]) ).
cnf(c_0_107,negated_conjecture,
( esk1_0 = esk4_0
| X1 = esk4_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_74]) ).
cnf(c_0_108,negated_conjecture,
( esk3_1(X1) = esk4_0
| esk3_1(X2) = esk4_0
| esk2_0 != esk1_0
| ~ f(X1)
| ~ f(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_71]),c_0_71]) ).
cnf(c_0_109,negated_conjecture,
esk2_0 = esk4_0,
inference(spm,[status(thm)],[c_0_106,c_0_99]) ).
cnf(c_0_110,negated_conjecture,
esk1_0 = esk4_0,
inference(spm,[status(thm)],[c_0_107,c_0_100]) ).
cnf(c_0_111,negated_conjecture,
( esk3_1(X1) = esk4_0
| esk3_1(X2) = esk4_0
| ~ f(X1)
| ~ f(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).
cnf(c_0_112,negated_conjecture,
( esk3_1(X1) != X1
| esk1_0 != esk4_0
| ~ f(X1)
| ~ f(X2) ),
inference(rw,[status(thm)],[c_0_11,c_0_109]) ).
cnf(c_0_113,negated_conjecture,
( esk3_1(esk4_0) = esk4_0
| esk3_1(X1) = esk4_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_91]) ).
cnf(c_0_114,negated_conjecture,
( esk3_1(X1) != X1
| ~ f(X1)
| ~ f(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_110])]) ).
cnf(c_0_115,negated_conjecture,
esk3_1(esk4_0) = esk4_0,
inference(spm,[status(thm)],[c_0_113,c_0_91]) ).
cnf(c_0_116,negated_conjecture,
~ f(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_91])]) ).
cnf(c_0_117,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_91,c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 04:28:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.014 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 118
% 0.23/1.40 # Proof object clause steps : 115
% 0.23/1.40 # Proof object formula steps : 3
% 0.23/1.40 # Proof object conjectures : 118
% 0.23/1.40 # Proof object clause conjectures : 115
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 10
% 0.23/1.40 # Proof object initial formulas used : 1
% 0.23/1.40 # Proof object generating inferences : 93
% 0.23/1.40 # Proof object simplifying inferences : 39
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 1
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 10
% 0.23/1.40 # Removed in clause preprocessing : 0
% 0.23/1.40 # Initial clauses in saturation : 10
% 0.23/1.40 # Processed clauses : 541
% 0.23/1.40 # ...of these trivial : 21
% 0.23/1.40 # ...subsumed : 325
% 0.23/1.40 # ...remaining for further processing : 195
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 79
% 0.23/1.40 # Backward-rewritten : 102
% 0.23/1.40 # Generated clauses : 1334
% 0.23/1.40 # ...of the previous two non-trivial : 1368
% 0.23/1.40 # Contextual simplify-reflections : 711
% 0.23/1.40 # Paramodulations : 1330
% 0.23/1.40 # Factorizations : 3
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 13
% 0.23/1.40 # Positive orientable unit clauses : 4
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 1
% 0.23/1.40 # Non-unit-clauses : 8
% 0.23/1.40 # Current number of unprocessed clauses: 5
% 0.23/1.40 # ...number of literals in the above : 25
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 182
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 6062
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 2046
% 0.23/1.40 # Non-unit clause-clause subsumptions : 1114
% 0.23/1.40 # Unit Clause-clause subsumption calls : 11
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 5
% 0.23/1.40 # BW rewrite match successes : 5
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 19143
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.090 s
% 0.23/1.40 # System time : 0.004 s
% 0.23/1.40 # Total time : 0.094 s
% 0.23/1.40 # Maximum resident set size: 3024 pages
%------------------------------------------------------------------------------