TSTP Solution File: SEV021^6 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV021^6 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : Tue May 21 04:07:25 EDT 2024
% Result : Theorem 1.77s 0.75s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of formulae : 89 ( 8 unt; 12 typ; 0 def)
% Number of atoms : 329 ( 7 equ; 0 cnn)
% Maximal formula atoms : 58 ( 4 avg)
% Number of connectives : 821 ( 137 ~; 181 |; 38 &; 449 @)
% ( 3 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 135 ( 5 ^ 121 !; 9 ?; 135 :)
% 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/benchmark/theBenchmark.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/benchmark/theBenchmark.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,
! [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_6,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( cP @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X1: a] :
( ( cP @ ( epred4_2 @ X1 @ esk4_0 ) )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,plain,
! [X1: a] :
( ( cP @ epred2_0 )
| ( ( epred4_2 @ X1 @ esk4_0 )
!= epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(ext_eqfact,[status(thm)],[c_0_7]) ).
thf(c_0_9,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_10,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_11,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_8]) ).
thf(c_0_12,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_9,c_0_10]) ).
thf(c_0_13,negated_conjecture,
( ( cP @ ( epred4_2 @ esk4_0 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
thf(c_0_14,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_11]) ).
thf(c_0_15,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_16,negated_conjecture,
! [X1: a,X2: a] :
( ( cP @ epred2_0 )
| ( epred2_0 @ X1 )
| ~ ( epred4_2 @ esk4_0 @ esk4_0 @ X1 )
| ~ ( epred4_2 @ esk4_0 @ esk4_0 @ X2 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_17,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_14,c_0_6]) ).
thf(c_0_18,negated_conjecture,
! [X1: a] :
( ( epred4_2 @ X1 @ esk4_0 @ esk4_0 )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
thf(c_0_19,negated_conjecture,
! [X1: a] : ( cP @ ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_20,negated_conjecture,
! [X1: a] :
( ( epred2_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 )
| ~ ( epred4_2 @ esk4_0 @ esk4_0 @ X1 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,negated_conjecture,
( ( epred4_2 @ esk4_0 @ esk4_0 @ esk4_0 )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_6]) ).
thf(c_0_22,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_10,c_0_19]) ).
thf(c_0_23,negated_conjecture,
! [X1: a] : ( epred1_1 @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_24,negated_conjecture,
( ( epred2_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_6]) ).
thf(c_0_25,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_22,c_0_23]) ).
thf(c_0_26,negated_conjecture,
( ( cP @ ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_24]) ).
thf(c_0_27,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_28,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_10,c_0_13]) ).
thf(c_0_29,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_25,c_0_26]) ).
thf(c_0_30,negated_conjecture,
( ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 @ esk4_0 )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
thf(c_0_31,negated_conjecture,
! [X1: a] :
( ( epred4_2 @ X1 @ esk4_0 @ X1 )
| ( cP @ epred2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_6]) ).
thf(c_0_32,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_28,c_0_21]) ).
thf(c_0_33,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_25,c_0_19]) ).
thf(c_0_34,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_29,c_0_30]) ).
thf(c_0_35,negated_conjecture,
( ( epred4_2 @ ( esk12_1 @ esk4_0 ) @ esk4_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
thf(c_0_36,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_32,c_0_19]) ).
thf(c_0_37,negated_conjecture,
! [X2: a,X1: a] :
( ( epred1_1 @ X1 @ X2 )
| ~ ( epred1_1 @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_23]) ).
thf(c_0_38,negated_conjecture,
( ( epred1_1 @ ( esk12_1 @ esk4_0 ) @ esk4_0 )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_39,negated_conjecture,
! [X3: a > $o] :
( ( X3 @ ( esk1_1 @ X3 ) )
| ~ ( cP @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_40,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_36,c_0_23]) ).
thf(c_0_41,negated_conjecture,
( ( epred1_1 @ esk4_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_42,negated_conjecture,
! [X1: a] : ( epred1_1 @ X1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_39,c_0_19]) ).
thf(c_0_43,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_11]) ).
thf(c_0_44,negated_conjecture,
( ( epred4_2 @ esk4_0 @ esk4_0 @ ( esk12_1 @ esk4_0 ) )
| ( cP @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
thf(c_0_45,negated_conjecture,
! [X1: a] : ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) @ X1 ),
inference(spm,[status(thm)],[c_0_37,c_0_42]) ).
thf(c_0_46,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_47,plain,
cP @ epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_6]),c_0_24]) ).
thf(c_0_48,negated_conjecture,
! [X2: a,X1: a] :
( ( epred1_1 @ X1 @ X2 )
| ~ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X2 ) ) @ X1 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_45]) ).
thf(c_0_49,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_50,negated_conjecture,
! [X1: a] :
( ( epred2_0 @ esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
thf(c_0_51,negated_conjecture,
epred2_0 @ ( esk1_1 @ epred2_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_47]) ).
thf(c_0_52,negated_conjecture,
! [X1: a] : ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) ) ) @ X1 ),
inference(spm,[status(thm)],[c_0_48,c_0_42]) ).
thf(c_0_53,negated_conjecture,
! [X1: a] :
( ( epred2_0 @ esk3_0 )
| ( cP @ epred3_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_47])]) ).
thf(c_0_54,negated_conjecture,
epred2_0 @ esk2_0,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_55,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_56,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_22,c_0_42]) ).
thf(c_0_57,negated_conjecture,
! [X1: a] : ( epred1_1 @ X1 @ ( esk1_1 @ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ X1 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_37,c_0_52]) ).
thf(c_0_58,negated_conjecture,
( ( cP @ epred3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_59,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_55,c_0_47])]) ).
thf(c_0_60,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_61,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_12,c_0_19]) ).
thf(c_0_62,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_56,c_0_57]),c_0_19])]) ).
thf(c_0_63,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_25,c_0_58]) ).
thf(c_0_64,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
thf(c_0_65,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_60,c_0_47])]) ).
thf(c_0_66,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_67,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_61,c_0_62]) ).
thf(c_0_68,negated_conjecture,
! [X1: a] :
( ( epred1_1 @ X1 @ esk3_0 )
| ( epred2_0 @ esk3_0 )
| ~ ( epred3_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
thf(c_0_69,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_54]) ).
thf(c_0_70,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_66]) ).
thf(c_0_71,negated_conjecture,
! [X1: a,X2: a] :
( ( epred2_0 @ X1 )
| ~ ( epred1_1 @ X2 @ X1 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_45]) ).
thf(c_0_72,negated_conjecture,
( ( epred1_1 @ esk2_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
thf(c_0_73,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_70,c_0_47])]) ).
thf(c_0_74,negated_conjecture,
epred2_0 @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_54])]) ).
thf(c_0_75,negated_conjecture,
! [X3: a > $o] :
( ~ ( cP @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
thf(c_0_76,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_47]),c_0_54]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV021^6 : TPTP v8.2.0. Released v5.5.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 19:01:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.52 Running higher-order theorem proving
% 0.21/0.52 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/benchmark/theBenchmark.p
% 1.77/0.75 # Version: 3.1.0-ho
% 1.77/0.75 # Preprocessing class: HSMSSMSSSLSNHHA.
% 1.77/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.77/0.75 # Starting sh3 with 1500s (5) cores
% 1.77/0.75 # Starting lpo8_s with 300s (1) cores
% 1.77/0.75 # Starting lpo6_lambda_fix with 300s (1) cores
% 1.77/0.75 # Starting pre_casc_5 with 300s (1) cores
% 1.77/0.75 # sh3 with pid 26732 completed with status 0
% 1.77/0.75 # Result found by sh3
% 1.77/0.75 # Preprocessing class: HSMSSMSSSLSNHHA.
% 1.77/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.77/0.75 # Starting sh3 with 1500s (5) cores
% 1.77/0.75 # No SInE strategy applied
% 1.77/0.75 # Search class: HGHNS-FFSF11-SHHFMSBN
% 1.77/0.75 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.77/0.75 # Starting sh3 with 750s (1) cores
% 1.77/0.75 # Starting lpo1_def_fix with 188s (1) cores
% 1.77/0.75 # Starting post_as_ho9 with 188s (1) cores
% 1.77/0.75 # Starting lpo8_s with 188s (1) cores
% 1.77/0.75 # Starting lpo1_lambda_fix with 186s (1) cores
% 1.77/0.75 # lpo8_s with pid 26742 completed with status 0
% 1.77/0.75 # Result found by lpo8_s
% 1.77/0.75 # Preprocessing class: HSMSSMSSSLSNHHA.
% 1.77/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.77/0.75 # Starting sh3 with 1500s (5) cores
% 1.77/0.75 # No SInE strategy applied
% 1.77/0.75 # Search class: HGHNS-FFSF11-SHHFMSBN
% 1.77/0.75 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.77/0.75 # Starting sh3 with 750s (1) cores
% 1.77/0.75 # Starting lpo1_def_fix with 188s (1) cores
% 1.77/0.75 # Starting post_as_ho9 with 188s (1) cores
% 1.77/0.75 # Starting lpo8_s with 188s (1) cores
% 1.77/0.75 # Preprocessing time : 0.001 s
% 1.77/0.75 # Presaturation interreduction done
% 1.77/0.75
% 1.77/0.75 # Proof found!
% 1.77/0.75 # SZS status Theorem
% 1.77/0.75 # SZS output start CNFRefutation
% See solution above
% 1.77/0.75 # Parsed axioms : 5
% 1.77/0.75 # Removed by relevancy pruning/SinE : 0
% 1.77/0.75 # Initial clauses : 18
% 1.77/0.75 # Removed in clause preprocessing : 4
% 1.77/0.75 # Initial clauses in saturation : 14
% 1.77/0.75 # Processed clauses : 1568
% 1.77/0.75 # ...of these trivial : 15
% 1.77/0.75 # ...subsumed : 999
% 1.77/0.75 # ...remaining for further processing : 554
% 1.77/0.75 # Other redundant clauses eliminated : 0
% 1.77/0.75 # Clauses deleted for lack of memory : 0
% 1.77/0.75 # Backward-subsumed : 46
% 1.77/0.75 # Backward-rewritten : 333
% 1.77/0.75 # Generated clauses : 6315
% 1.77/0.75 # ...of the previous two non-redundant : 5956
% 1.77/0.75 # ...aggressively subsumed : 0
% 1.77/0.75 # Contextual simplify-reflections : 31
% 1.77/0.75 # Paramodulations : 6157
% 1.77/0.75 # Factorizations : 0
% 1.77/0.75 # NegExts : 44
% 1.77/0.75 # Equation resolutions : 0
% 1.77/0.75 # Disequality decompositions : 0
% 1.77/0.75 # Total rewrite steps : 723
% 1.77/0.75 # ...of those cached : 625
% 1.77/0.75 # Propositional unsat checks : 0
% 1.77/0.75 # Propositional check models : 0
% 1.77/0.75 # Propositional check unsatisfiable : 0
% 1.77/0.75 # Propositional clauses : 0
% 1.77/0.75 # Propositional clauses after purity: 0
% 1.77/0.75 # Propositional unsat core size : 0
% 1.77/0.75 # Propositional preprocessing time : 0.000
% 1.77/0.75 # Propositional encoding time : 0.000
% 1.77/0.75 # Propositional solver time : 0.000
% 1.77/0.75 # Success case prop preproc time : 0.000
% 1.77/0.75 # Success case prop encoding time : 0.000
% 1.77/0.75 # Success case prop solver time : 0.000
% 1.77/0.75 # Current number of processed clauses : 141
% 1.77/0.75 # Positive orientable unit clauses : 16
% 1.77/0.75 # Positive unorientable unit clauses: 0
% 1.77/0.75 # Negative unit clauses : 0
% 1.77/0.75 # Non-unit-clauses : 125
% 1.77/0.75 # Current number of unprocessed clauses: 3115
% 1.77/0.75 # ...number of literals in the above : 10891
% 1.77/0.75 # Current number of archived formulas : 0
% 1.77/0.75 # Current number of archived clauses : 413
% 1.77/0.75 # Clause-clause subsumption calls (NU) : 52734
% 1.77/0.75 # Rec. Clause-clause subsumption calls : 30918
% 1.77/0.75 # Non-unit clause-clause subsumptions : 1107
% 1.77/0.75 # Unit Clause-clause subsumption calls : 19
% 1.77/0.75 # Rewrite failures with RHS unbound : 0
% 1.77/0.75 # BW rewrite match attempts : 110
% 1.77/0.75 # BW rewrite match successes : 3
% 1.77/0.75 # Condensation attempts : 1568
% 1.77/0.75 # Condensation successes : 31
% 1.77/0.75 # Termbank termtop insertions : 136357
% 1.77/0.75 # Search garbage collected termcells : 739
% 1.77/0.75
% 1.77/0.75 # -------------------------------------------------
% 1.77/0.75 # User time : 0.207 s
% 1.77/0.75 # System time : 0.007 s
% 1.77/0.75 # Total time : 0.214 s
% 1.77/0.75 # Maximum resident set size: 1940 pages
% 1.77/0.75
% 1.77/0.75 # -------------------------------------------------
% 1.77/0.75 # User time : 1.020 s
% 1.77/0.75 # System time : 0.027 s
% 1.77/0.75 # Total time : 1.047 s
% 1.77/0.75 # Maximum resident set size: 1732 pages
% 1.77/0.75 % E---3.1 exiting
% 1.77/0.75 % E exiting
%------------------------------------------------------------------------------