TSTP Solution File: SEV016^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV016^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 04:07:24 EDT 2024
% Result : Theorem 27.04s 3.90s
% Output : CNFRefutation 27.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 11
% Syntax : Number of formulae : 112 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 786 ( 29 equ; 0 cnn)
% Maximal formula atoms : 23 ( 7 avg)
% Number of connectives : 1453 ( 89 ~; 206 |; 15 &;1128 @)
% ( 6 <=>; 6 =>; 0 <=; 3 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 141 ( 2 ^ 131 !; 8 ?; 141 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: ( a > $o ) > $o ).
thf(decl_23,type,
esk1_1: ( a > $o ) > a ).
thf(decl_24,type,
epred2_1: a > a > $o ).
thf(decl_25,type,
epred3_1: ( a > a > $o ) > a > $o ).
thf(decl_26,type,
esk2_2: ( a > a > $o ) > a > a ).
thf(decl_27,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_29,type,
esk5_2: a > ( a > a > $o ) > a ).
thf(decl_32,type,
esk8_1: a > a ).
thf(decl_48,type,
esk24_1: a > a ).
thf(cTHM262_NEW_pme,conjecture,
! [X1: ( a > $o ) > $o] :
( ( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X4: a] :
? [X2: a > $o] :
( ( X1 @ X2 )
& ( X2 @ X4 )
& ! [X5: a > $o] :
( ( ( X1 @ X5 )
& ( X5 @ X4 ) )
=> ( X5 = X2 ) ) ) )
=> ? [X6: a > a > $o] :
( ( ^ [X7: a > $o] :
? [X3: a] :
( X7
= ( ^ [X4: a] : ( X6 @ X4 @ X3 ) ) ) )
= X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM262_NEW_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( a > $o ) > $o] :
( ( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X4: a] :
? [X2: a > $o] :
( ( X1 @ X2 )
& ( X2 @ X4 )
& ! [X5: a > $o] :
( ( ( X1 @ X5 )
& ( X5 @ X4 ) )
=> ( X5 = X2 ) ) ) )
=> ? [X6: a > a > $o] :
! [X15: a > $o] :
( ? [X3: a] :
! [X16: a] :
( ( X15 @ X16 )
<=> ( X6 @ X16 @ X3 ) )
<=> ( X1 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM262_NEW_pme])])]) ).
thf(c_0_2,negated_conjecture,
! [X18: a > $o,X20: a,X22: a > $o,X23: a > a > $o,X25: a,X28: a] :
( ( ~ ( epred1_0 @ X18 )
| ( X18 @ ( esk1_1 @ X18 ) ) )
& ( epred1_0 @ ( epred2_1 @ X20 ) )
& ( epred2_1 @ X20 @ X20 )
& ( ~ ( epred1_0 @ X22 )
| ~ ( X22 @ X20 )
| ( X22
= ( epred2_1 @ X20 ) ) )
& ( ~ ( epred3_1 @ X23 @ ( esk2_2 @ X23 @ X25 ) )
| ~ ( X23 @ ( esk2_2 @ X23 @ X25 ) @ X25 )
| ~ ( epred1_0 @ ( epred3_1 @ X23 ) ) )
& ( ( epred3_1 @ X23 @ ( esk2_2 @ X23 @ X25 ) )
| ( X23 @ ( esk2_2 @ X23 @ X25 ) @ X25 )
| ~ ( epred1_0 @ ( epred3_1 @ X23 ) ) )
& ( ~ ( epred3_1 @ X23 @ X28 )
| ( X23 @ X28 @ ( esk3_1 @ X23 ) )
| ( epred1_0 @ ( epred3_1 @ X23 ) ) )
& ( ~ ( X23 @ X28 @ ( esk3_1 @ X23 ) )
| ( epred3_1 @ X23 @ X28 )
| ( epred1_0 @ ( epred3_1 @ X23 ) ) ) ),
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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( X2
= ( epred2_1 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X2: a > $o,X29: a,X3: a] :
( ( ( X2 @ X29 )
<=> ( epred2_1 @ X3 @ X29 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X3 ) ),
inference(arg_cong,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X2: a > $o,X4: a,X3: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X4 )
| ~ ( X2 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X3: a] : ( epred1_0 @ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X10: a,X4: a,X3: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred2_1 @ X10 @ X4 )
| ~ ( epred2_1 @ X10 @ X3 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X3: a] : ( epred2_1 @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X3: a,X4: a] :
( ( ( epred2_1 @ X3 )
= ( epred2_1 @ X4 ) )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X2: a > $o] :
( ( X2 @ ( esk1_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X4: a,X3: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred2_1 @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_12,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
= ( epred2_1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_6])]) ).
thf(c_0_13,negated_conjecture,
! [X2: a > $o,X3: a,X4: a] :
( ( X2 @ X3 )
| ~ ( epred2_1 @ X4 @ X3 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_4]) ).
thf(c_0_14,negated_conjecture,
! [X3: a,X6: a > a > $o] :
( ( epred3_1 @ X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( X6 @ ( esk2_2 @ X6 @ X3 ) @ X3 )
| ~ ( epred1_0 @ ( epred3_1 @ X6 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
! [X3: a] : ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_6])]) ).
thf(c_0_16,negated_conjecture,
! [X3: a,X31: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X31 )
<=> ( epred2_1 @ X3 @ X31 ) ),
inference(arg_cong,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( X2 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_10]),c_0_6])]) ).
thf(c_0_18,plain,
! [X3: a,X6: a > a > $o,X4: a] :
( ( epred3_1 @ X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( X6 @ ( esk2_2 @ X6 @ X3 ) @ X3 )
| ( ( epred3_1 @ X6 )
!= ( epred2_1 @ X4 ) ) ),
inference(ext_sup,[status(thm)],[c_0_14,c_0_6]) ).
thf(c_0_19,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( X2 @ X3 )
| ~ ( X2 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
thf(c_0_20,negated_conjecture,
! [X3: a,X4: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X4 )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_16]) ).
thf(c_0_21,negated_conjecture,
! [X3: a,X6: a > a > $o] :
( ( epred3_1 @ X6 @ X3 )
| ( epred1_0 @ ( epred3_1 @ X6 ) )
| ~ ( X6 @ X3 @ ( esk3_1 @ X6 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_22,negated_conjecture,
! [X4: a,X3: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X4 )
| ~ ( epred2_1 @ X4 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_17]),c_0_6])]) ).
thf(c_0_23,plain,
! [X3: a,X4: a,X6: a > a > $o] :
( ( epred3_1 @ X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( X6 @ ( esk2_2 @ X6 @ X3 ) @ X3 )
| ( ( epred3_1 @ X6 @ ( esk5_2 @ X4 @ X6 ) )
<~> ( epred2_1 @ X4 @ ( esk5_2 @ X4 @ X6 ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_18]) ).
thf(c_0_24,negated_conjecture,
! [X3: a,X4: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X4 )
| ~ ( epred2_1 @ X3 @ ( esk1_1 @ ( epred2_1 @ X4 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_12]),c_0_6])]) ).
thf(c_0_25,negated_conjecture,
! [X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_26,plain,
! [X6: a > a > $o,X4: a,X3: a] :
( ( epred3_1 @ X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( epred2_1 @ X4 @ ( esk5_2 @ X4 @ X6 ) )
| ( epred3_1 @ X6 @ ( esk5_2 @ X4 @ X6 ) )
| ( X6 @ ( esk2_2 @ X6 @ X3 ) @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_23]) ).
thf(c_0_27,negated_conjecture,
! [X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred2_1 @ X3 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
thf(c_0_28,negated_conjecture,
! [X6: a > a > $o,X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ X6 ) ) ) )
| ( epred3_1 @ X6 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ X6 ) )
| ( epred3_1 @ X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( X6 @ ( esk2_2 @ X6 @ X3 ) @ X3 )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_29,negated_conjecture,
! [X6: a > a > $o,X3: a] :
( ( X6 @ X3 @ ( esk3_1 @ X6 ) )
| ( epred1_0 @ ( epred3_1 @ X6 ) )
| ~ ( epred3_1 @ X6 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_30,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_31,negated_conjecture,
! [X3: a,X4: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_16]) ).
thf(c_0_32,negated_conjecture,
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_33,negated_conjecture,
( ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29]) ).
thf(c_0_34,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_33]) ).
thf(c_0_35,negated_conjecture,
! [X3: a,X6: a > a > $o] :
( ~ ( epred3_1 @ X6 @ ( esk2_2 @ X6 @ X3 ) )
| ~ ( X6 @ ( esk2_2 @ X6 @ X3 ) @ X3 )
| ~ ( epred1_0 @ ( epred3_1 @ X6 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_36,negated_conjecture,
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_34]) ).
thf(c_0_37,plain,
! [X3: a,X6: a > a > $o,X4: a] :
( ( ( epred3_1 @ X6 )
!= ( epred2_1 @ X3 ) )
| ~ ( epred3_1 @ X6 @ ( esk2_2 @ X6 @ X4 ) )
| ~ ( X6 @ ( esk2_2 @ X6 @ X4 ) @ X4 ) ),
inference(ext_sup,[status(thm)],[c_0_35,c_0_6]) ).
thf(c_0_38,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
| ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_36]),c_0_29]) ).
thf(c_0_39,plain,
! [X3: a] :
( ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( ( epred3_1 @ epred2_1 )
!= ( epred2_1 @ X3 ) )
| ~ ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_40,negated_conjecture,
( ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
thf(c_0_41,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( ( epred3_1 @ epred2_1 )
!= ( epred2_1 @ X3 ) ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_17]),c_0_6])]),c_0_40]) ).
thf(c_0_42,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( ( epred3_1 @ epred2_1 @ ( esk8_1 @ X3 ) )
<~> ( epred2_1 @ X3 @ ( esk8_1 @ X3 ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_41]) ).
thf(c_0_43,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk8_1 @ X3 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred2_1 @ X3 @ ( esk8_1 @ X3 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_42]) ).
thf(c_0_44,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ ( esk8_1 @ X3 ) )
= ( epred2_1 @ X3 ) )
| ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk8_1 @ X3 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_43]) ).
thf(c_0_45,negated_conjecture,
! [X4: a,X3: a,X2: a > $o] :
( ( X2 @ X3 )
| ~ ( X2 @ ( esk1_1 @ ( epred2_1 @ X4 ) ) )
| ~ ( epred2_1 @ X3 @ X4 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
thf(c_0_46,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ ( esk8_1 @ X3 ) )
= ( epred2_1 @ X3 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk8_1 @ X3 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
thf(c_0_47,negated_conjecture,
! [X2: a > $o,X3: a,X4: a] :
( ( X2 @ X3 )
| ~ ( epred2_1 @ X3 @ X4 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_17]) ).
thf(c_0_48,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ ( esk8_1 @ X3 ) )
= ( epred2_1 @ X3 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred2_1 @ ( esk8_1 @ X3 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_46]) ).
thf(c_0_49,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( ( epred2_1 @ ( esk8_1 @ X3 ) )
= ( epred2_1 @ X3 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( X2 @ ( esk8_1 @ X3 ) )
| ~ ( X2 @ ( esk3_1 @ epred2_1 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_50,negated_conjecture,
! [X3: a,X10: a,X4: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X10 ) ) @ X3 )
| ~ ( epred2_1 @ X10 @ X4 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_20]) ).
thf(c_0_51,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ ( esk8_1 @ X3 ) )
= ( epred2_1 @ X3 ) )
| ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) @ ( esk8_1 @ X3 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_15]),c_0_12]),c_0_6])]) ).
thf(c_0_52,negated_conjecture,
( ( ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
= ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) )
| ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_40]) ).
thf(c_0_53,negated_conjecture,
! [X3: a,X4: a] :
( ( ( epred2_1 @ ( esk8_1 @ X3 ) )
= ( epred2_1 @ X3 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred2_1 @ ( esk8_1 @ X3 ) @ X4 )
| ~ ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ X4 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_54,negated_conjecture,
! [X3: a] : ( epred2_1 @ X3 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_10]),c_0_12]),c_0_12]),c_0_6])]) ).
thf(c_0_55,negated_conjecture,
( ( ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
= ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_52]) ).
thf(c_0_56,negated_conjecture,
! [X3: a,X223: a,X4: a] :
( ( ( epred2_1 @ ( esk8_1 @ X3 ) @ X223 )
<=> ( epred2_1 @ X3 @ X223 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred2_1 @ ( esk8_1 @ X3 ) @ X4 )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ X4 ) ),
inference(arg_cong,[status(thm)],[c_0_53]) ).
thf(c_0_57,negated_conjecture,
( ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_58,negated_conjecture,
! [X3: a,X4: a,X10: a] :
( ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred2_1 @ ( esk8_1 @ X3 ) @ X4 )
| ( epred2_1 @ ( esk8_1 @ X3 ) @ X10 )
| ~ ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ X4 )
| ~ ( epred2_1 @ X3 @ X10 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_56]) ).
thf(c_0_59,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_27,c_0_57]) ).
thf(c_0_60,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred2_1 @ ( esk8_1 @ X3 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred2_1 @ ( esk8_1 @ X3 ) @ X4 )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_8]) ).
thf(c_0_61,negated_conjecture,
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_59]) ).
thf(c_0_62,negated_conjecture,
( ( epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) ) ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_63,negated_conjecture,
( ( epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_62,c_0_55]) ).
thf(c_0_64,negated_conjecture,
( ( ( epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
= ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) )
| ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_63]) ).
thf(c_0_65,negated_conjecture,
( ( ( epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
= ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) )
| ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_64]) ).
thf(c_0_66,negated_conjecture,
! [X2: a > $o] :
( ( ( epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
= ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( X2 @ ( esk3_1 @ epred2_1 ) )
| ~ ( X2 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_65]) ).
thf(c_0_67,negated_conjecture,
! [X316: a,X2: a > $o] :
( ( ( epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) @ X316 )
<=> ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ X316 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( X2 @ ( esk3_1 @ epred2_1 ) )
| ~ ( X2 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(arg_cong,[status(thm)],[c_0_66]) ).
thf(c_0_68,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ X3 )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( X2 @ ( esk3_1 @ epred2_1 ) )
| ~ ( epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) @ X3 )
| ~ ( X2 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_67]) ).
thf(c_0_69,negated_conjecture,
! [X2: a > $o] :
( ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( X2 @ ( esk3_1 @ epred2_1 ) )
| ~ ( X2 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_8]) ).
thf(c_0_70,negated_conjecture,
( ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
| ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_8]),c_0_6])]) ).
thf(c_0_71,negated_conjecture,
( ( epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_70]) ).
thf(c_0_72,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ ( esk8_1 @ X3 ) )
| ~ ( epred2_1 @ X3 @ ( esk8_1 @ X3 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_42]) ).
thf(c_0_73,negated_conjecture,
( ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_71]) ).
thf(c_0_74,negated_conjecture,
( ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) @ ( esk8_1 @ ( esk1_1 @ ( epred2_1 @ ( esk3_1 @ epred2_1 ) ) ) ) ) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_75,negated_conjecture,
( ( epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_20]),c_0_70]) ).
thf(c_0_76,plain,
! [X3: a,X4: a,X6: a > a > $o] :
( ( epred3_1 @ X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( X6 @ ( esk2_2 @ X6 @ X3 ) @ X3 )
| ~ ( epred3_1 @ X6 @ ( esk5_2 @ X4 @ X6 ) )
| ~ ( epred2_1 @ X4 @ ( esk5_2 @ X4 @ X6 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_23]) ).
thf(c_0_77,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_75]) ).
thf(c_0_78,negated_conjecture,
( ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ ( esk5_2 @ ( esk3_1 @ epred2_1 ) @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_75]) ).
thf(c_0_79,plain,
! [X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ X3 ) )
| ( epred2_1 @ ( esk2_2 @ epred2_1 @ X3 ) @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_14]) ).
thf(c_0_80,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk3_1 @ epred2_1 ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_79]) ).
thf(c_0_81,negated_conjecture,
( ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk3_1 @ epred2_1 ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_80]) ).
thf(c_0_82,plain,
! [X3: a] :
( ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( ( epred3_1 @ epred2_1 )
!= ( epred2_1 @ X3 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_80]),c_0_81]) ).
thf(c_0_83,plain,
! [X3: a] :
( ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( ( epred3_1 @ epred2_1 @ ( esk24_1 @ X3 ) )
<~> ( epred2_1 @ X3 @ ( esk24_1 @ X3 ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_82]) ).
thf(c_0_84,plain,
! [X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk24_1 @ X3 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred2_1 @ X3 @ ( esk24_1 @ X3 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_83]) ).
thf(c_0_85,negated_conjecture,
! [X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk24_1 @ X3 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred2_1 @ ( esk24_1 @ X3 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_84]) ).
thf(c_0_86,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk24_1 @ ( esk3_1 @ epred2_1 ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_85]) ).
thf(c_0_87,plain,
! [X3: a] :
( ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ ( esk24_1 @ X3 ) )
| ~ ( epred2_1 @ X3 @ ( esk24_1 @ X3 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_83]) ).
thf(c_0_88,negated_conjecture,
( ( epred2_1 @ ( esk24_1 @ ( esk3_1 @ epred2_1 ) ) @ ( esk3_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_86]) ).
thf(c_0_89,plain,
( ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ ( esk24_1 @ ( esk3_1 @ epred2_1 ) ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_86]) ).
thf(c_0_90,negated_conjecture,
epred1_0 @ ( epred3_1 @ epred2_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_88]),c_0_89]) ).
thf(c_0_91,negated_conjecture,
! [X3: a,X4: a] :
( ( ( epred2_1 @ X3 )
= ( epred2_1 @ X4 ) )
| ~ ( epred2_1 @ X3 @ ( esk1_1 @ ( epred2_1 @ X4 ) ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_24]),c_0_12]) ).
thf(c_0_92,negated_conjecture,
! [X3: a] :
( ( ( epred3_1 @ epred2_1 )
= ( epred2_1 @ X3 ) )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_90]) ).
thf(c_0_93,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ X3 ) )
| ( X2 @ ( esk2_2 @ epred2_1 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_79]) ).
thf(c_0_94,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) ) )
= ( epred2_1 @ X3 ) )
| ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_91,c_0_79]) ).
thf(c_0_95,negated_conjecture,
( ( epred2_1 @ ( esk1_1 @ ( epred3_1 @ epred2_1 ) ) )
= ( epred3_1 @ epred2_1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_10]),c_0_90])]) ).
thf(c_0_96,negated_conjecture,
! [X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk2_2 @ epred2_1 @ X3 ) )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_93,c_0_90]) ).
thf(c_0_97,negated_conjecture,
( ( epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred3_1 @ epred2_1 ) ) ) )
= ( epred3_1 @ epred2_1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_92]) ).
thf(c_0_98,negated_conjecture,
! [X3: a] :
( ~ ( epred2_1 @ ( esk2_2 @ epred2_1 @ X3 ) @ X3 )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_96]),c_0_90])]) ).
thf(c_0_99,negated_conjecture,
epred2_1 @ ( esk2_2 @ epred2_1 @ ( esk1_1 @ ( epred3_1 @ epred2_1 ) ) ) @ ( esk1_1 @ ( epred3_1 @ epred2_1 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_97]) ).
thf(c_0_100,negated_conjecture,
~ ( epred3_1 @ epred2_1 @ ( esk1_1 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
thf(c_0_101,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_10]),c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEV016^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n008.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun May 19 18:33:22 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.20/0.50 Running higher-order theorem proving
% 0.20/0.50 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
% 0.20/0.52 # Type mismatch for # Version: 3.1.0-ho
% 27.04/3.90 # Preprocessing class: HSSSSMSSSSSNHHA.
% 27.04/3.90 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 27.04/3.90 # Starting sh2lt with 1200s (4) cores
% 27.04/3.90 # Starting new_ho_10_unif with 300s (1) cores
% 27.04/3.90 # Starting full_lambda_6 with 300s (1) cores
% 27.04/3.90 # Starting post_as_ho1 with 300s (1) cores
% 27.04/3.90 # Starting ehoh_best3_rw with 300s (1) cores
% 27.04/3.90 # new_ho_10_unif with pid 2064 completed with status 0
% 27.04/3.90 # Result found by new_ho_10_unif
% 27.04/3.90 # Preprocessing class: HSSSSMSSSSSNHHA.
% 27.04/3.90 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 27.04/3.90 # Starting sh2lt with 1200s (4) cores
% 27.04/3.90 # Starting new_ho_10_unif with 300s (1) cores
% 27.04/3.90 # No SInE strategy applied
% 27.04/3.90 # Search class: HGHSS-FFSF21-SHHFFMBN
% 27.04/3.90 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 27.04/3.90 # Starting sh2 with 135s (1) cores
% 27.04/3.90 # sh2 with pid 2076 completed with status 0
% 27.04/3.90 # Result found by sh2
% 27.04/3.90 # Preprocessing class: HSSSSMSSSSSNHHA.
% 27.04/3.90 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 27.04/3.90 # Starting sh2lt with 1200s (4) cores
% 27.04/3.90 # Starting new_ho_10_unif with 300s (1) cores
% 27.04/3.90 # No SInE strategy applied
% 27.04/3.90 # Search class: HGHSS-FFSF21-SHHFFMBN
% 27.04/3.90 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 27.04/3.90 # Starting sh2 with 135s (1) cores
% 27.04/3.90 # Preprocessing time : 0.001 s
% 27.04/3.90 # Presaturation interreduction done
% 27.04/3.90
% 27.04/3.90 # Proof found!
% 27.04/3.90 # SZS status Theorem
% 27.04/3.90 # SZS output start CNFRefutation
% See solution above
% 27.04/3.91 # Parsed axioms : 2
% 27.04/3.91 # Removed by relevancy pruning/SinE : 0
% 27.04/3.91 # Initial clauses : 9
% 27.04/3.91 # Removed in clause preprocessing : 1
% 27.04/3.91 # Initial clauses in saturation : 8
% 27.04/3.91 # Processed clauses : 10393
% 27.04/3.91 # ...of these trivial : 3
% 27.04/3.91 # ...subsumed : 8693
% 27.04/3.91 # ...remaining for further processing : 1697
% 27.04/3.91 # Other redundant clauses eliminated : 0
% 27.04/3.91 # Clauses deleted for lack of memory : 0
% 27.04/3.91 # Backward-subsumed : 534
% 27.04/3.91 # Backward-rewritten : 507
% 27.04/3.91 # Generated clauses : 144607
% 27.04/3.91 # ...of the previous two non-redundant : 131320
% 27.04/3.91 # ...aggressively subsumed : 0
% 27.04/3.91 # Contextual simplify-reflections : 16
% 27.04/3.91 # Paramodulations : 144138
% 27.04/3.91 # Factorizations : 50
% 27.04/3.91 # NegExts : 21
% 27.04/3.91 # Equation resolutions : 0
% 27.04/3.91 # Disequality decompositions : 0
% 27.04/3.91 # Total rewrite steps : 73427
% 27.04/3.91 # ...of those cached : 73001
% 27.04/3.91 # Propositional unsat checks : 0
% 27.04/3.91 # Propositional check models : 0
% 27.04/3.91 # Propositional check unsatisfiable : 0
% 27.04/3.91 # Propositional clauses : 0
% 27.04/3.91 # Propositional clauses after purity: 0
% 27.04/3.91 # Propositional unsat core size : 0
% 27.04/3.91 # Propositional preprocessing time : 0.000
% 27.04/3.91 # Propositional encoding time : 0.000
% 27.04/3.91 # Propositional solver time : 0.000
% 27.04/3.91 # Success case prop preproc time : 0.000
% 27.04/3.91 # Success case prop encoding time : 0.000
% 27.04/3.91 # Success case prop solver time : 0.000
% 27.04/3.91 # Current number of processed clauses : 579
% 27.04/3.91 # Positive orientable unit clauses : 10
% 27.04/3.91 # Positive unorientable unit clauses: 0
% 27.04/3.91 # Negative unit clauses : 1
% 27.04/3.91 # Non-unit-clauses : 568
% 27.04/3.91 # Current number of unprocessed clauses: 119042
% 27.04/3.91 # ...number of literals in the above : 771801
% 27.04/3.91 # Current number of archived formulas : 0
% 27.04/3.91 # Current number of archived clauses : 1118
% 27.04/3.91 # Clause-clause subsumption calls (NU) : 965129
% 27.04/3.91 # Rec. Clause-clause subsumption calls : 428389
% 27.04/3.91 # Non-unit clause-clause subsumptions : 9243
% 27.04/3.91 # Unit Clause-clause subsumption calls : 1199
% 27.04/3.91 # Rewrite failures with RHS unbound : 0
% 27.04/3.91 # BW rewrite match attempts : 6
% 27.04/3.91 # BW rewrite match successes : 2
% 27.04/3.91 # Condensation attempts : 0
% 27.04/3.91 # Condensation successes : 0
% 27.04/3.91 # Termbank termtop insertions : 5246964
% 27.04/3.91 # Search garbage collected termcells : 391
% 27.04/3.91
% 27.04/3.91 # -------------------------------------------------
% 27.04/3.91 # User time : 3.265 s
% 27.04/3.91 # System time : 0.074 s
% 27.04/3.91 # Total time : 3.339 s
% 27.04/3.91 # Maximum resident set size: 1880 pages
% 27.04/3.91
% 27.04/3.91 # -------------------------------------------------
% 27.04/3.91 # User time : 3.266 s
% 27.04/3.91 # System time : 0.076 s
% 27.04/3.91 # Total time : 3.342 s
% 27.04/3.91 # Maximum resident set size: 1724 pages
% 27.04/3.91 % E---3.1 exiting
% 27.04/3.91 % E exiting
%------------------------------------------------------------------------------