TSTP Solution File: SEV021^6 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEV021^6 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 : 300s
% DateTime : Mon Jun 24 15:53:18 EDT 2024
% Result : Theorem 0.10s 0.48s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 2
% Syntax : Number of formulae : 90 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 388 ( 7 equ; 0 cnn)
% Maximal formula atoms : 58 ( 4 avg)
% Number of connectives : 925 ( 142 ~; 196 |; 38 &; 533 @)
% ( 3 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 142 ( 5 ^ 128 !; 9 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
cP: ( a > $o ) > $o ).
thf(decl_23,type,
cQ: a > a > $o ).
thf(decl_24,type,
esk1_1: ( a > $o ) > a ).
thf(decl_25,type,
epred1_1: a > a > $o ).
thf(decl_26,type,
epred2_0: a > $o ).
thf(decl_27,type,
esk2_0: a ).
thf(decl_28,type,
esk3_0: a ).
thf(decl_29,type,
epred3_0: a > $o ).
thf(decl_30,type,
esk4_0: a ).
thf(decl_31,type,
epred4_2: a > a > a > $o ).
thf(decl_39,type,
esk12_1: a > a ).
thf(cQ_def,axiom,
( cQ
= ( ^ [X1: a,X2: a] :
? [X3: a > $o] :
( ( cP @ X3 )
& ( X3 @ X1 )
& ( X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vjILzEHXX3/E---3.1_16796.p',cQ_def) ).
thf(cTHM262_D_EXT2_pme,conjecture,
( ! [X4: a > $o,X5: a > $o] :
( ( ( X4 = X5 )
& ( cP @ X4 ) )
=> ( cP @ X5 ) )
=> ( ( ! [X6: a > $o] :
( ( cP @ X6 )
=> ? [X7: a] : ( X6 @ X7 ) )
& ! [X8: a] :
? [X6: a > $o] :
( ( cP @ X6 )
& ( X6 @ X8 ) )
& ! [X8: a,X9: a,X6: a > $o,X10: a > $o] :
( ( ( cP @ X6 )
& ( cP @ X10 )
& ( X6 @ X8 )
& ( X10 @ X8 )
& ( X6 @ X9 ) )
=> ( X10 @ X9 ) ) )
=> ( ( ^ [X11: a > $o] :
( ? [X7: a] : ( X11 @ X7 )
& ! [X8: a] :
( ( X11 @ X8 )
=> ! [X9: a] :
( ( X11 @ X9 )
<=> ( cQ @ X8 @ X9 ) ) ) ) )
= cP ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vjILzEHXX3/E---3.1_16796.p',cTHM262_D_EXT2_pme) ).
thf(c_0_2,plain,
( cQ
= ( ^ [Z0: a,Z1: a] :
? [X3: a > $o] :
( ( cP @ X3 )
& ( X3 @ Z0 )
& ( X3 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[cQ_def]) ).
thf(c_0_3,negated_conjecture,
~ ( ! [X4: a > $o,X5: a > $o] :
( ( ( X4 = X5 )
& ( cP @ X4 ) )
=> ( cP @ X5 ) )
=> ( ( ! [X6: a > $o] :
( ( cP @ X6 )
=> ? [X7: a] : ( X6 @ X7 ) )
& ! [X8: a] :
? [X6: a > $o] :
( ( cP @ X6 )
& ( X6 @ X8 ) )
& ! [X8: a,X9: a,X6: a > $o,X10: a > $o] :
( ( ( cP @ X6 )
& ( cP @ X10 )
& ( X6 @ X8 )
& ( X10 @ X8 )
& ( X6 @ X9 ) )
=> ( X10 @ X9 ) ) )
=> ! [X23: a > $o] :
( ( ? [X7: a] : ( X23 @ X7 )
& ! [X8: a] :
( ( X23 @ X8 )
=> ! [X9: a] :
( ( X23 @ X9 )
<=> ? [X22: a > $o] :
( ( cP @ X22 )
& ( X22 @ X8 )
& ( X22 @ X9 ) ) ) ) )
<=> ( cP @ X23 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM262_D_EXT2_pme])]),c_0_2])]) ).
thf(c_0_4,negated_conjecture,
! [X24: a > $o,X25: a > $o,X26: a > $o,X28: a,X30: a,X31: a,X32: a > $o,X33: a > $o,X35: a,X38: a > $o,X41: a,X42: a,X44: a > $o] :
( ( ( X24 != X25 )
| ~ ( cP @ X24 )
| ( cP @ X25 ) )
& ( ~ ( cP @ X26 )
| ( X26 @ ( esk1_1 @ X26 ) ) )
& ( cP @ ( epred1_1 @ X28 ) )
& ( epred1_1 @ X28 @ X28 )
& ( ~ ( cP @ X32 )
| ~ ( cP @ X33 )
| ~ ( X32 @ X30 )
| ~ ( X33 @ X30 )
| ~ ( X32 @ X31 )
| ( X33 @ X31 ) )
& ( ( epred2_0 @ esk2_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( cP @ epred2_0 ) )
& ( ~ ( epred2_0 @ esk3_0 )
| ~ ( cP @ X38 )
| ~ ( X38 @ esk2_0 )
| ~ ( X38 @ esk3_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( cP @ epred2_0 ) )
& ( ( cP @ epred3_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( cP @ epred2_0 ) )
& ( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( cP @ epred2_0 ) )
& ( ( epred3_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( cP @ epred2_0 ) )
& ( ( epred2_0 @ esk4_0 )
| ( cP @ epred2_0 ) )
& ( ( cP @ ( epred4_2 @ X41 @ X42 ) )
| ~ ( epred2_0 @ X42 )
| ~ ( epred2_0 @ X41 )
| ( cP @ epred2_0 ) )
& ( ( epred4_2 @ X41 @ X42 @ X41 )
| ~ ( epred2_0 @ X42 )
| ~ ( epred2_0 @ X41 )
| ( cP @ epred2_0 ) )
& ( ( epred4_2 @ X41 @ X42 @ X42 )
| ~ ( epred2_0 @ X42 )
| ~ ( epred2_0 @ X41 )
| ( cP @ epred2_0 ) )
& ( ~ ( cP @ X44 )
| ~ ( X44 @ X41 )
| ~ ( X44 @ X42 )
| ( epred2_0 @ X42 )
| ~ ( epred2_0 @ X41 )
| ( cP @ epred2_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
thf(c_0_5,negated_conjecture,
! [X1: a,X4: a > $o,X3: a > $o,X2: a] :
( ( X4 @ X2 )
| ~ ( cP @ X3 )
| ~ ( cP @ X4 )
| ~ ( X3 @ X1 )
| ~ ( X4 @ X1 )
| ~ ( X3 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X1: a] : ( cP @ ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X1: a,X2: a,X3: a > $o,X7: a] :
( ( epred1_1 @ X1 @ X2 )
| ~ ( epred1_1 @ X1 @ X7 )
| ~ ( cP @ X3 )
| ~ ( X3 @ X2 )
| ~ ( X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X1: a] : ( epred1_1 @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_9,negated_conjecture,
! [X3: a > $o,X2: a,X1: a] :
( ( epred1_1 @ X1 @ X2 )
| ~ ( cP @ X3 )
| ~ ( X3 @ X2 )
| ~ ( X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_10,negated_conjecture,
! [X7: a,X2: a,X1: a] :
( ( epred1_1 @ X1 @ X2 )
| ~ ( epred1_1 @ X7 @ X2 )
| ~ ( epred1_1 @ X7 @ X1 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
thf(c_0_11,negated_conjecture,
! [X3: a > $o] :
( ( X3 @ ( esk1_1 @ X3 ) )
| ~ ( cP @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_12,negated_conjecture,
! [X3: a > $o,X2: a,X1: a] :
( ( epred2_0 @ X2 )
| ( cP @ epred2_0 )
| ~ ( cP @ X3 )
| ~ ( X3 @ X1 )
| ~ ( X3 @ X2 )
| ~ ( epred2_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_13,negated_conjecture,
! [X2: a,X1: a] :
( ( epred1_1 @ X1 @ X2 )
| ~ ( epred1_1 @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
thf(c_0_14,negated_conjecture,
! [X1: a] : ( epred1_1 @ X1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
thf(c_0_15,negated_conjecture,
! [X1: a,X3: a > $o,X2: a] :
( ( epred2_0 @ X1 )
| ~ ( cP @ X3 )
| ~ ( epred2_0 @ X2 )
| ~ ( X3 @ X1 )
| ~ ( X3 @ X2 ) ),
inference(csr,[status(thm)],[c_0_12,c_0_5]) ).
thf(c_0_16,negated_conjecture,
! [X1: a] : ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) @ X1 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_17,negated_conjecture,
! [X1: a,X2: a,X7: a] :
( ( epred2_0 @ X1 )
| ~ ( epred1_1 @ X2 @ X1 )
| ~ ( epred1_1 @ X2 @ X7 )
| ~ ( epred2_0 @ X7 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
thf(c_0_18,negated_conjecture,
! [X2: a,X1: a] :
( ( cP @ ( epred4_2 @ X1 @ X2 ) )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X2 )
| ~ ( epred2_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_19,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( cP @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_20,negated_conjecture,
! [X2: a,X1: a] :
( ( epred1_1 @ X1 @ X2 )
| ~ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X2 ) ) @ X1 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
thf(c_0_21,negated_conjecture,
! [X2: a,X1: a] :
( ( epred4_2 @ X1 @ X2 @ X1 )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X2 )
| ~ ( epred2_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_22,negated_conjecture,
! [X1: a,X2: a] :
( ( epred2_0 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) )
| ~ ( epred1_1 @ X1 @ X2 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
thf(c_0_23,negated_conjecture,
! [X1: a] :
( ( cP @ ( epred4_2 @ X1 @ esk4_0 ) )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_24,negated_conjecture,
! [X2: a,X1: a] :
( ( epred4_2 @ X1 @ X2 @ X2 )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X2 )
| ~ ( epred2_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_25,negated_conjecture,
! [X1: a] : ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) ) ) @ X1 ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
thf(c_0_26,negated_conjecture,
! [X1: a] :
( ( epred4_2 @ X1 @ esk4_0 @ X1 )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
thf(c_0_27,negated_conjecture,
! [X1: a] :
( ( epred2_0 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_8]) ).
thf(c_0_28,negated_conjecture,
( ( cP @ ( epred4_2 @ esk4_0 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
thf(c_0_29,negated_conjecture,
! [X1: a] :
( ( epred4_2 @ X1 @ esk4_0 @ esk4_0 )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
thf(c_0_30,negated_conjecture,
! [X1: a,X3: a > $o,X2: a] :
( ( epred1_1 @ X1 @ X2 )
| ~ ( X3 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) )
| ~ ( cP @ X3 )
| ~ ( X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
thf(c_0_31,negated_conjecture,
! [X1: a] : ( epred1_1 @ X1 @ ( esk1_1 @ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
thf(c_0_32,negated_conjecture,
! [X1: a] :
( ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) @ esk4_0 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_33,negated_conjecture,
! [X1: a] :
( ( cP @ ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) @ esk4_0 ) )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_27]) ).
thf(c_0_34,negated_conjecture,
! [X1: a,X3: a > $o,X2: a] :
( ( epred4_2 @ esk4_0 @ esk4_0 @ X1 )
| ( cP @ epred2_0 )
| ~ ( epred4_2 @ esk4_0 @ esk4_0 @ X2 )
| ~ ( cP @ X3 )
| ~ ( X3 @ X1 )
| ~ ( X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_28]) ).
thf(c_0_35,negated_conjecture,
( ( epred4_2 @ esk4_0 @ esk4_0 @ esk4_0 )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_19]) ).
thf(c_0_36,negated_conjecture,
! [X1: a,X2: a] :
( ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) @ X2 )
| ~ ( epred1_1 @ X1 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_6])]) ).
thf(c_0_37,negated_conjecture,
( ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) @ esk4_0 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
thf(c_0_38,negated_conjecture,
( ( cP @ ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_19]) ).
thf(c_0_39,negated_conjecture,
! [X3: a > $o,X1: a] :
( ( epred4_2 @ esk4_0 @ esk4_0 @ X1 )
| ( cP @ epred2_0 )
| ~ ( cP @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_40,negated_conjecture,
! [X1: a,X2: a,X7: a] :
( ( epred2_0 @ X1 )
| ~ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X2 ) ) @ X7 )
| ~ ( epred1_1 @ X2 @ X1 )
| ~ ( epred2_0 @ X7 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_36]) ).
thf(c_0_41,negated_conjecture,
! [X1: a] :
( ( epred1_1 @ esk4_0 @ X1 )
| ( cP @ epred2_0 )
| ~ ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) @ esk4_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_37]),c_0_38]) ).
thf(c_0_42,negated_conjecture,
( ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) @ esk4_0 @ ( esk1_1 @ ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) @ esk4_0 ) ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_38]) ).
thf(c_0_43,negated_conjecture,
! [X2: a,X1: a] :
( ( epred4_2 @ esk4_0 @ esk4_0 @ X1 )
| ( cP @ epred2_0 )
| ~ ( epred1_1 @ X2 @ esk4_0 )
| ~ ( epred1_1 @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_6]) ).
thf(c_0_44,plain,
! [X1: a] :
( ( cP @ epred2_0 )
| ( ( epred4_2 @ X1 @ esk4_0 )
!= epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(ext_eqfact,[status(thm)],[c_0_23]) ).
thf(c_0_45,negated_conjecture,
! [X1: a,X2: a] :
( ( epred2_0 @ X1 )
| ~ ( epred1_1 @ X2 @ X1 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_16]) ).
thf(c_0_46,negated_conjecture,
( ( epred1_1 @ esk4_0 @ ( esk1_1 @ ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) @ esk4_0 ) ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
thf(c_0_47,negated_conjecture,
! [X1: a] :
( ( epred4_2 @ esk4_0 @ esk4_0 @ X1 )
| ( cP @ epred2_0 )
| ~ ( epred1_1 @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_8]) ).
thf(c_0_48,plain,
! [X1: a] :
( ( cP @ epred2_0 )
| ( ( epred4_2 @ X1 @ esk4_0 @ ( esk12_1 @ X1 ) )
<~> ( epred2_0 @ ( esk12_1 @ X1 ) ) )
| ~ ( epred2_0 @ X1 ) ),
inference(neg_ext,[status(thm)],[c_0_44]) ).
thf(c_0_49,negated_conjecture,
( ( epred2_0 @ ( esk1_1 @ ( epred4_2 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) @ esk4_0 ) ) )
| ( cP @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_19]) ).
thf(c_0_50,negated_conjecture,
( ( epred4_2 @ esk4_0 @ esk4_0 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_14]) ).
thf(c_0_51,plain,
! [X1: a] :
( ( epred4_2 @ X1 @ esk4_0 @ ( esk12_1 @ X1 ) )
| ( epred2_0 @ ( esk12_1 @ X1 ) )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_48]) ).
thf(c_0_52,negated_conjecture,
! [X2: a,X1: a] :
( ( epred2_0 @ X1 )
| ~ ( epred2_0 @ ( esk1_1 @ ( epred1_1 @ X2 ) ) )
| ~ ( epred1_1 @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_8]) ).
thf(c_0_53,negated_conjecture,
( ( epred2_0 @ ( esk1_1 @ ( epred1_1 @ esk4_0 ) ) )
| ( cP @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_46]),c_0_49]) ).
thf(c_0_54,negated_conjecture,
! [X1: a] :
( ( epred1_1 @ esk4_0 @ X1 )
| ( cP @ epred2_0 )
| ~ ( epred4_2 @ esk4_0 @ esk4_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_50]),c_0_28]) ).
thf(c_0_55,negated_conjecture,
( ( epred4_2 @ esk4_0 @ esk4_0 @ ( esk12_1 @ esk4_0 ) )
| ( epred2_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_19]) ).
thf(c_0_56,negated_conjecture,
! [X1: a] :
( ( cP @ epred2_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_1 @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_57,negated_conjecture,
( ( epred2_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
thf(c_0_58,negated_conjecture,
( ( cP @ ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_57]) ).
thf(c_0_59,negated_conjecture,
! [X2: a,X1: a] :
( ( cP @ epred2_0 )
| ( epred1_1 @ X1 @ X2 )
| ~ ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 @ X2 )
| ~ ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_58]) ).
thf(c_0_60,negated_conjecture,
( ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 @ esk4_0 )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_57]) ).
thf(c_0_61,negated_conjecture,
! [X1: a] :
( ( epred1_1 @ X1 @ esk4_0 )
| ( cP @ epred2_0 )
| ~ ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
thf(c_0_62,negated_conjecture,
( ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_57]) ).
thf(c_0_63,negated_conjecture,
( ( epred1_1 @ ( esk12_1 @ esk4_0 ) @ esk4_0 )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
thf(c_0_64,negated_conjecture,
( ( epred1_1 @ esk4_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_63]) ).
thf(c_0_65,plain,
! [X1: a] :
( ( cP @ epred2_0 )
| ~ ( epred4_2 @ X1 @ esk4_0 @ ( esk12_1 @ X1 ) )
| ~ ( epred2_0 @ ( esk12_1 @ X1 ) )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_48]) ).
thf(c_0_66,negated_conjecture,
( ( epred4_2 @ esk4_0 @ esk4_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_64]) ).
thf(c_0_67,negated_conjecture,
! [X1: a] :
( ( epred2_0 @ esk2_0 )
| ~ ( epred2_0 @ X1 )
| ~ ( cP @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_68,plain,
cP @ epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_19]),c_0_57]) ).
thf(c_0_69,negated_conjecture,
! [X1: a] :
( ( cP @ epred3_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X1 )
| ~ ( cP @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_70,negated_conjecture,
! [X1: a] :
( ( epred2_0 @ esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
thf(c_0_71,negated_conjecture,
epred2_0 @ ( esk1_1 @ epred2_0 ),
inference(spm,[status(thm)],[c_0_11,c_0_68]) ).
thf(c_0_72,negated_conjecture,
! [X1: a] :
( ( epred2_0 @ esk3_0 )
| ( cP @ epred3_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_68])]) ).
thf(c_0_73,negated_conjecture,
epred2_0 @ esk2_0,
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
thf(c_0_74,negated_conjecture,
! [X1: a] :
( ( epred3_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X1 )
| ~ ( cP @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_75,negated_conjecture,
( ( cP @ epred3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_76,negated_conjecture,
! [X1: a] :
( ( epred3_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_68])]) ).
thf(c_0_77,negated_conjecture,
! [X1: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X1 )
| ~ ( cP @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_78,negated_conjecture,
! [X2: a,X1: a] :
( ( epred2_0 @ esk3_0 )
| ( epred1_1 @ X1 @ X2 )
| ~ ( epred3_0 @ X2 )
| ~ ( epred3_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_75]) ).
thf(c_0_79,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_76,c_0_73]) ).
thf(c_0_80,negated_conjecture,
! [X1: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_68])]) ).
thf(c_0_81,negated_conjecture,
! [X3: a > $o,X1: a] :
( ~ ( epred2_0 @ esk3_0 )
| ~ ( cP @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 )
| ~ ( epred2_0 @ X1 )
| ~ ( cP @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_82,negated_conjecture,
! [X1: a] :
( ( epred1_1 @ X1 @ esk3_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred3_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
thf(c_0_83,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_80,c_0_73]) ).
thf(c_0_84,negated_conjecture,
! [X3: a > $o] :
( ~ ( cP @ epred2_0 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( cP @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(condense,[status(thm)],[c_0_81]) ).
thf(c_0_85,negated_conjecture,
( ( epred1_1 @ esk2_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_86,negated_conjecture,
! [X3: a > $o] :
( ~ ( epred2_0 @ esk3_0 )
| ~ ( cP @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_68])]) ).
thf(c_0_87,negated_conjecture,
epred2_0 @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_85]),c_0_73])]) ).
thf(c_0_88,negated_conjecture,
! [X3: a > $o] :
( ~ ( cP @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).
thf(c_0_89,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_68]),c_0_73]),c_0_87])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06 % Problem : SEV021^6 : TPTP v8.2.0. Released v5.5.0.
% 0.04/0.06 % Command : run_E %s %d THM
% 0.06/0.25 % Computer : n028.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Fri Jun 21 19:13:23 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.10/0.33 Running higher-order theorem proving
% 0.10/0.33 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.vjILzEHXX3/E---3.1_16796.p
% 0.10/0.48 # Version: 3.2.0-ho
% 0.10/0.48 # Preprocessing class: HSMSSMSSSLSNHHA.
% 0.10/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.48 # Starting sh3 with 1500s (5) cores
% 0.10/0.48 # Starting lpo8_s with 300s (1) cores
% 0.10/0.48 # Starting lpo6_lambda_fix with 300s (1) cores
% 0.10/0.48 # Starting pre_casc_5 with 300s (1) cores
% 0.10/0.48 # sh3 with pid 16896 completed with status 0
% 0.10/0.48 # Result found by sh3
% 0.10/0.48 # Preprocessing class: HSMSSMSSSLSNHHA.
% 0.10/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.48 # Starting sh3 with 1500s (5) cores
% 0.10/0.48 # No SInE strategy applied
% 0.10/0.48 # Search class: HGHNS-FFSF11-SHHFMSBN
% 0.10/0.48 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.48 # Starting sh3 with 750s (1) cores
% 0.10/0.48 # Starting lpo1_def_fix with 188s (1) cores
% 0.10/0.48 # Starting post_as_ho9 with 188s (1) cores
% 0.10/0.48 # Starting lpo8_s with 188s (1) cores
% 0.10/0.48 # Starting lpo1_lambda_fix with 186s (1) cores
% 0.10/0.48 # lpo8_s with pid 16907 completed with status 0
% 0.10/0.48 # Result found by lpo8_s
% 0.10/0.48 # Preprocessing class: HSMSSMSSSLSNHHA.
% 0.10/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.48 # Starting sh3 with 1500s (5) cores
% 0.10/0.48 # No SInE strategy applied
% 0.10/0.48 # Search class: HGHNS-FFSF11-SHHFMSBN
% 0.10/0.48 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.48 # Starting sh3 with 750s (1) cores
% 0.10/0.48 # Starting lpo1_def_fix with 188s (1) cores
% 0.10/0.48 # Starting post_as_ho9 with 188s (1) cores
% 0.10/0.48 # Starting lpo8_s with 188s (1) cores
% 0.10/0.48 # Preprocessing time : 0.001 s
% 0.10/0.48 # Presaturation interreduction done
% 0.10/0.48
% 0.10/0.48 # Proof found!
% 0.10/0.48 # SZS status Theorem
% 0.10/0.48 # SZS output start CNFRefutation
% See solution above
% 0.10/0.48 # Parsed axioms : 5
% 0.10/0.48 # Removed by relevancy pruning/SinE : 0
% 0.10/0.48 # Initial clauses : 18
% 0.10/0.48 # Removed in clause preprocessing : 4
% 0.10/0.48 # Initial clauses in saturation : 14
% 0.10/0.48 # Processed clauses : 1590
% 0.10/0.48 # ...of these trivial : 15
% 0.10/0.48 # ...subsumed : 1004
% 0.10/0.48 # ...remaining for further processing : 571
% 0.10/0.48 # Other redundant clauses eliminated : 0
% 0.10/0.48 # Clauses deleted for lack of memory : 0
% 0.10/0.48 # Backward-subsumed : 45
% 0.10/0.48 # Backward-rewritten : 351
% 0.10/0.48 # Generated clauses : 6485
% 0.10/0.48 # ...of the previous two non-redundant : 6124
% 0.10/0.48 # ...aggressively subsumed : 0
% 0.10/0.48 # Contextual simplify-reflections : 37
% 0.10/0.48 # Paramodulations : 6312
% 0.10/0.48 # Factorizations : 0
% 0.10/0.48 # NegExts : 61
% 0.10/0.48 # Equation resolutions : 0
% 0.10/0.48 # Disequality decompositions : 0
% 0.10/0.48 # Total rewrite steps : 724
% 0.10/0.48 # ...of those cached : 633
% 0.10/0.48 # Propositional unsat checks : 0
% 0.10/0.48 # Propositional check models : 0
% 0.10/0.48 # Propositional check unsatisfiable : 0
% 0.10/0.48 # Propositional clauses : 0
% 0.10/0.48 # Propositional clauses after purity: 0
% 0.10/0.48 # Propositional unsat core size : 0
% 0.10/0.48 # Propositional preprocessing time : 0.000
% 0.10/0.48 # Propositional encoding time : 0.000
% 0.10/0.48 # Propositional solver time : 0.000
% 0.10/0.48 # Success case prop preproc time : 0.000
% 0.10/0.48 # Success case prop encoding time : 0.000
% 0.10/0.48 # Success case prop solver time : 0.000
% 0.10/0.48 # Current number of processed clauses : 142
% 0.10/0.48 # Positive orientable unit clauses : 16
% 0.10/0.48 # Positive unorientable unit clauses: 0
% 0.10/0.48 # Negative unit clauses : 0
% 0.10/0.48 # Non-unit-clauses : 126
% 0.10/0.48 # Current number of unprocessed clauses: 3144
% 0.10/0.48 # ...number of literals in the above : 11221
% 0.10/0.48 # Current number of archived formulas : 0
% 0.10/0.48 # Current number of archived clauses : 429
% 0.10/0.48 # Clause-clause subsumption calls (NU) : 54929
% 0.10/0.48 # Rec. Clause-clause subsumption calls : 30386
% 0.10/0.48 # Non-unit clause-clause subsumptions : 1117
% 0.10/0.48 # Unit Clause-clause subsumption calls : 17
% 0.10/0.48 # Rewrite failures with RHS unbound : 0
% 0.10/0.48 # BW rewrite match attempts : 111
% 0.10/0.48 # BW rewrite match successes : 3
% 0.10/0.48 # Condensation attempts : 1590
% 0.10/0.48 # Condensation successes : 31
% 0.10/0.48 # Termbank termtop insertions : 139977
% 0.10/0.48 # Search garbage collected termcells : 739
% 0.10/0.48
% 0.10/0.48 # -------------------------------------------------
% 0.10/0.48 # User time : 0.129 s
% 0.10/0.48 # System time : 0.007 s
% 0.10/0.48 # Total time : 0.136 s
% 0.10/0.48 # Maximum resident set size: 1932 pages
% 0.10/0.48
% 0.10/0.48 # -------------------------------------------------
% 0.10/0.48 # User time : 0.658 s
% 0.10/0.48 # System time : 0.021 s
% 0.10/0.48 # Total time : 0.678 s
% 0.10/0.48 # Maximum resident set size: 1724 pages
% 0.10/0.48 % E---3.1 exiting
% 0.10/0.48 % E exiting
%------------------------------------------------------------------------------