TSTP Solution File: SEV232^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV232^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 04:08:02 EDT 2024
% Result : Theorem 3.28s 0.89s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 2 unt; 7 typ; 0 def)
% Number of atoms : 516 ( 1 equ; 0 cnn)
% Maximal formula atoms : 70 ( 7 avg)
% Number of connectives : 861 ( 145 ~; 221 |; 16 &; 470 @)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 228 ( 228 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 81 ( 2 ^ 79 !; 0 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cS: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(decl_23,type,
c0: ( $i > $o ) > $o ).
thf(decl_24,type,
epred1_0: ( $i > $o ) > $o ).
thf(decl_25,type,
epred2_0: ( ( $i > $o ) > $o ) > $o ).
thf(decl_26,type,
epred3_0: ( ( $i > $o ) > $o ) > $o ).
thf(decl_27,type,
epred4_1: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(decl_28,type,
epred5_1: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(cX6007_pme,conjecture,
( ( ^ [X1: ( $i > $o ) > $o] :
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( ( X2 @ c0 )
& ! [X3: ( $i > $o ) > $o] :
( ( X2 @ X3 )
=> ( X2 @ ( cS @ X3 ) ) ) )
=> ( X2 @ X1 ) ) )
= ( ^ [X4: ( $i > $o ) > $o] :
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( ( X5 @ c0 )
& ! [X3: ( $i > $o ) > $o] :
( ( X5 @ X3 )
=> ( X5 @ ( cS @ X3 ) ) ) )
=> ( X5 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6007_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X6: ( $i > $o ) > $o] :
( ! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( ( X2 @ c0 )
& ! [X3: ( $i > $o ) > $o] :
( ( X2 @ X3 )
=> ( X2 @ ( cS @ X3 ) ) ) )
=> ( X2 @ X6 ) )
<=> ! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( ( X5 @ c0 )
& ! [X3: ( $i > $o ) > $o] :
( ( X5 @ X3 )
=> ( X5 @ ( cS @ X3 ) ) ) )
=> ( X5 @ X6 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cX6007_pme])])]) ).
thf(c_0_2,negated_conjecture,
! [X9: ( $i > $o ) > $o,X11: ( $i > $o ) > $o,X12: ( ( $i > $o ) > $o ) > $o,X14: ( ( $i > $o ) > $o ) > $o] :
( ( ( epred3_0 @ c0 )
| ( epred2_0 @ c0 ) )
& ( ~ ( epred3_0 @ X11 )
| ( epred3_0 @ ( cS @ X11 ) )
| ( epred2_0 @ c0 ) )
& ( ~ ( epred3_0 @ epred1_0 )
| ( epred2_0 @ c0 ) )
& ( ( epred3_0 @ c0 )
| ~ ( epred2_0 @ X9 )
| ( epred2_0 @ ( cS @ X9 ) ) )
& ( ~ ( epred3_0 @ X11 )
| ( epred3_0 @ ( cS @ X11 ) )
| ~ ( epred2_0 @ X9 )
| ( epred2_0 @ ( cS @ X9 ) ) )
& ( ~ ( epred3_0 @ epred1_0 )
| ~ ( epred2_0 @ X9 )
| ( epred2_0 @ ( cS @ X9 ) ) )
& ( ( epred3_0 @ c0 )
| ~ ( epred2_0 @ epred1_0 ) )
& ( ~ ( epred3_0 @ X11 )
| ( epred3_0 @ ( cS @ X11 ) )
| ~ ( epred2_0 @ epred1_0 ) )
& ( ~ ( epred3_0 @ epred1_0 )
| ~ ( epred2_0 @ epred1_0 ) )
& ( ( X14 @ ( epred5_1 @ X14 ) )
| ~ ( X14 @ c0 )
| ( X14 @ epred1_0 )
| ( X12 @ ( epred4_1 @ X12 ) )
| ~ ( X12 @ c0 )
| ( X12 @ epred1_0 ) )
& ( ~ ( X14 @ ( cS @ ( epred5_1 @ X14 ) ) )
| ~ ( X14 @ c0 )
| ( X14 @ epred1_0 )
| ( X12 @ ( epred4_1 @ X12 ) )
| ~ ( X12 @ c0 )
| ( X12 @ epred1_0 ) )
& ( ( X14 @ ( epred5_1 @ X14 ) )
| ~ ( X14 @ c0 )
| ( X14 @ epred1_0 )
| ~ ( X12 @ ( cS @ ( epred4_1 @ X12 ) ) )
| ~ ( X12 @ c0 )
| ( X12 @ epred1_0 ) )
& ( ~ ( X14 @ ( cS @ ( epred5_1 @ X14 ) ) )
| ~ ( X14 @ c0 )
| ( X14 @ epred1_0 )
| ~ ( X12 @ ( cS @ ( epred4_1 @ X12 ) ) )
| ~ ( X12 @ c0 )
| ( X12 @ epred1_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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o,X5: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ epred1_0 )
| ( X5 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 )
| ~ ( X5 @ ( cS @ ( epred4_1 @ X5 ) ) )
| ~ ( X5 @ c0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( epred3_0 @ c0 )
| ( epred2_0 @ c0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( ( epred2_0 @ c0 )
| ~ ( epred3_0 @ epred1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ c0 )
| ( X2 @ epred1_0 )
| ~ ( epred3_0 @ ( cS @ ( epred4_1 @ epred3_0 ) ) )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X1: ( $i > $o ) > $o] :
( ( epred3_0 @ ( cS @ X1 ) )
| ( epred2_0 @ c0 )
| ~ ( epred3_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o,X5: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ( X5 @ epred1_0 )
| ~ ( X2 @ c0 )
| ~ ( X5 @ ( cS @ ( epred4_1 @ X5 ) ) )
| ~ ( X5 @ c0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o,X5: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ epred1_0 )
| ( X5 @ ( epred4_1 @ X5 ) )
| ( X5 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 )
| ~ ( X5 @ c0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ c0 )
| ( X2 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( epred3_0 @ ( epred4_1 @ epred3_0 ) )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_11,negated_conjecture,
( ( epred3_0 @ c0 )
| ~ ( epred2_0 @ epred1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
( ~ ( epred3_0 @ epred1_0 )
| ~ ( epred2_0 @ epred1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ c0 )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( epred3_0 @ ( cS @ ( epred4_1 @ epred3_0 ) ) )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_4]),c_0_5]) ).
thf(c_0_14,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ c0 )
| ( X2 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_5]),c_0_10]) ).
thf(c_0_15,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ epred1_0 )
| ~ ( epred3_0 @ ( cS @ ( epred4_1 @ epred3_0 ) ) )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( epred2_0 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_11]),c_0_12]) ).
thf(c_0_16,negated_conjecture,
! [X1: ( $i > $o ) > $o] :
( ( epred3_0 @ ( cS @ X1 ) )
| ~ ( epred3_0 @ X1 )
| ~ ( epred2_0 @ epred1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
! [X1: ( $i > $o ) > $o] :
( ( epred3_0 @ c0 )
| ( epred2_0 @ ( cS @ X1 ) )
| ~ ( epred2_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_18,negated_conjecture,
! [X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ~ ( epred3_0 @ epred1_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_19,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o,X5: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ( X5 @ ( epred4_1 @ X5 ) )
| ( X5 @ epred1_0 )
| ~ ( X2 @ c0 )
| ~ ( X5 @ c0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_20,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ ( epred5_1 @ X2 ) )
| ( epred2_0 @ c0 )
| ( X2 @ epred1_0 )
| ~ ( epred3_0 @ ( epred4_1 @ epred3_0 ) )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
thf(c_0_21,negated_conjecture,
( ( epred2_0 @ c0 )
| ~ ( epred3_0 @ ( cS @ ( epred5_1 @ epred3_0 ) ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_4]),c_0_5]) ).
thf(c_0_22,negated_conjecture,
( ~ ( epred3_0 @ ( cS @ ( epred4_1 @ epred3_0 ) ) )
| ~ ( epred3_0 @ ( epred5_1 @ epred3_0 ) )
| ~ ( epred2_0 @ epred1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_11]),c_0_12]) ).
thf(c_0_23,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( epred3_0 @ ( cS @ ( epred4_1 @ epred3_0 ) ) )
| ~ ( X2 @ c0 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_17]),c_0_18]) ).
thf(c_0_24,negated_conjecture,
! [X1: ( $i > $o ) > $o,X3: ( $i > $o ) > $o] :
( ( epred3_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ~ ( epred3_0 @ X1 )
| ~ ( epred2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_25,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred3_0 @ ( epred4_1 @ epred3_0 ) )
| ( epred2_0 @ ( cS @ X1 ) )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ c0 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_18]) ).
thf(c_0_26,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ c0 )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_4]),c_0_5]),c_0_20]) ).
thf(c_0_27,negated_conjecture,
( ( epred2_0 @ c0 )
| ~ ( epred3_0 @ ( epred5_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
thf(c_0_28,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred3_0 @ ( epred4_1 @ epred3_0 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( epred2_0 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_11]),c_0_12]) ).
thf(c_0_29,negated_conjecture,
( ~ ( epred3_0 @ ( epred5_1 @ epred3_0 ) )
| ~ ( epred3_0 @ ( epred4_1 @ epred3_0 ) )
| ~ ( epred2_0 @ epred1_0 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
thf(c_0_30,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ( X2 @ epred1_0 )
| ~ ( epred3_0 @ ( cS @ ( epred4_1 @ epred3_0 ) ) )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_17]),c_0_18]) ).
thf(c_0_31,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred3_0 @ ( epred4_1 @ epred3_0 ) )
| ( epred2_0 @ ( cS @ X1 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_17]),c_0_18]) ).
thf(c_0_32,negated_conjecture,
! [X3: ( $i > $o ) > $o,X2: ( ( $i > $o ) > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ c0 )
| ~ ( epred2_0 @ X3 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
thf(c_0_33,negated_conjecture,
epred2_0 @ c0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_4]),c_0_5]),c_0_27]) ).
thf(c_0_34,negated_conjecture,
( ~ ( epred3_0 @ ( epred5_1 @ epred3_0 ) )
| ~ ( epred2_0 @ epred1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_16]),c_0_11]),c_0_12]),c_0_29]) ).
thf(c_0_35,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred3_0 @ ( epred4_1 @ epred3_0 ) )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( epred2_0 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_11]),c_0_12]) ).
thf(c_0_36,negated_conjecture,
! [X3: ( $i > $o ) > $o,X2: ( ( $i > $o ) > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 )
| ~ ( epred2_0 @ X3 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_31]) ).
thf(c_0_37,negated_conjecture,
! [X1: ( $i > $o ) > $o,X3: ( $i > $o ) > $o] :
( ( epred2_0 @ ( epred5_1 @ epred2_0 ) )
| ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ( epred2_0 @ epred1_0 )
| ~ ( epred2_0 @ X1 )
| ~ ( epred2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_38,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( epred3_0 @ ( cS @ ( epred4_1 @ epred3_0 ) ) )
| ~ ( epred2_0 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_11]),c_0_12]) ).
thf(c_0_39,negated_conjecture,
( ( epred3_0 @ ( epred4_1 @ epred3_0 ) )
| ~ ( epred2_0 @ epred1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_11]),c_0_12]) ).
thf(c_0_40,negated_conjecture,
! [X4: ( $i > $o ) > $o,X3: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ( epred2_0 @ ( cS @ X4 ) )
| ~ ( epred3_0 @ ( cS @ ( epred5_1 @ epred3_0 ) ) )
| ~ ( epred2_0 @ X3 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_17]),c_0_18]) ).
thf(c_0_41,negated_conjecture,
! [X4: ( $i > $o ) > $o,X3: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred3_0 @ ( epred5_1 @ epred3_0 ) )
| ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ( epred2_0 @ ( cS @ X4 ) )
| ~ ( epred2_0 @ X3 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_17]),c_0_18]) ).
thf(c_0_42,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ epred1_0 )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( epred2_0 @ ( cS @ ( epred4_1 @ epred2_0 ) ) )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_33]) ).
thf(c_0_43,negated_conjecture,
! [X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( epred5_1 @ epred2_0 ) )
| ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ epred1_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(ef,[status(thm)],[c_0_37]) ).
thf(c_0_44,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ ( epred4_1 @ epred2_0 ) )
| ( epred2_0 @ epred1_0 )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_33]) ).
thf(c_0_45,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( epred2_0 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_16]),c_0_39]) ).
thf(c_0_46,negated_conjecture,
! [X6: ( $i > $o ) > $o,X4: ( $i > $o ) > $o,X3: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ( epred2_0 @ ( cS @ X4 ) )
| ( epred2_0 @ ( cS @ X6 ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred2_0 @ X3 )
| ~ ( epred2_0 @ X6 )
| ~ ( epred2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_24]),c_0_41]) ).
thf(c_0_47,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ ( epred5_1 @ epred2_0 ) )
| ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]) ).
thf(c_0_48,negated_conjecture,
! [X4: ( $i > $o ) > $o,X3: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ( epred2_0 @ ( cS @ X4 ) )
| ~ ( epred2_0 @ X3 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred2_0 @ X1 ) ),
inference(ef,[status(thm)],[c_0_46]) ).
thf(c_0_49,negated_conjecture,
( ( epred2_0 @ ( epred5_1 @ epred2_0 ) )
| ( epred2_0 @ epred1_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_33]) ).
thf(c_0_50,negated_conjecture,
! [X3: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ( epred2_0 @ ( cS @ X3 ) )
| ~ ( epred2_0 @ X3 )
| ~ ( epred2_0 @ X1 ) ),
inference(ef,[status(thm)],[c_0_48]) ).
thf(c_0_51,negated_conjecture,
( ( epred3_0 @ ( epred5_1 @ epred3_0 ) )
| ( epred2_0 @ ( epred5_1 @ epred2_0 ) )
| ( epred3_0 @ epred1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_11]),c_0_49]) ).
thf(c_0_52,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ epred1_0 )
| ( X2 @ epred1_0 )
| ~ ( epred2_0 @ ( cS @ ( epred4_1 @ epred2_0 ) ) )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_33]) ).
thf(c_0_53,negated_conjecture,
! [X1: ( $i > $o ) > $o] :
( ( epred2_0 @ ( cS @ X1 ) )
| ~ ( epred2_0 @ X1 ) ),
inference(ef,[status(thm)],[c_0_50]) ).
thf(c_0_54,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( epred2_0 @ ( epred4_1 @ epred2_0 ) )
| ( epred2_0 @ epred1_0 )
| ( X2 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_33]) ).
thf(c_0_55,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( epred2_0 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_28]) ).
thf(c_0_56,negated_conjecture,
( ( epred2_0 @ ( epred5_1 @ epred2_0 ) )
| ( epred3_0 @ epred1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_51]),c_0_49]) ).
thf(c_0_57,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ epred1_0 )
| ~ ( X2 @ ( cS @ ( epred5_1 @ X2 ) ) )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).
thf(c_0_58,negated_conjecture,
( ( epred2_0 @ ( epred4_1 @ epred2_0 ) )
| ( epred2_0 @ epred1_0 )
| ~ ( epred2_0 @ ( cS @ ( epred5_1 @ epred2_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_54,c_0_33]) ).
thf(c_0_59,negated_conjecture,
epred2_0 @ ( epred5_1 @ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_56]),c_0_49]) ).
thf(c_0_60,negated_conjecture,
( ( epred2_0 @ epred1_0 )
| ~ ( epred2_0 @ ( cS @ ( epred5_1 @ epred2_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_57,c_0_33]) ).
thf(c_0_61,negated_conjecture,
( ( epred2_0 @ ( epred4_1 @ epred2_0 ) )
| ( epred2_0 @ epred1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_53]),c_0_59])]) ).
thf(c_0_62,negated_conjecture,
epred2_0 @ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_59])]) ).
thf(c_0_63,negated_conjecture,
! [X2: ( ( $i > $o ) > $o ) > $o] :
( ( X2 @ ( epred5_1 @ X2 ) )
| ( X2 @ epred1_0 )
| ~ ( X2 @ c0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_61]),c_0_45]) ).
thf(c_0_64,negated_conjecture,
epred3_0 @ c0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_62])]) ).
thf(c_0_65,negated_conjecture,
~ ( epred3_0 @ epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_62])]) ).
thf(c_0_66,negated_conjecture,
~ ( epred3_0 @ ( epred5_1 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_62])]) ).
thf(c_0_67,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV232^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 19:01:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running higher-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 3.28/0.89 # Version: 3.1.0-ho
% 3.28/0.89 # Preprocessing class: HSSSSMSSSSSNHHN.
% 3.28/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.28/0.89 # Starting post_as_ho2 with 1500s (5) cores
% 3.28/0.89 # Starting new_ho_13 with 300s (1) cores
% 3.28/0.89 # Starting new_ho_8 with 300s (1) cores
% 3.28/0.89 # Starting new_ho_4 with 300s (1) cores
% 3.28/0.89 # post_as_ho2 with pid 10608 completed with status 0
% 3.28/0.89 # Result found by post_as_ho2
% 3.28/0.89 # Preprocessing class: HSSSSMSSSSSNHHN.
% 3.28/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.28/0.89 # Starting post_as_ho2 with 1500s (5) cores
% 3.28/0.89 # No SInE strategy applied
% 3.28/0.89 # Search class: HGHNF-FFSF00-SHHFFSBN
% 3.28/0.89 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.28/0.89 # Starting ehoh_best_nonlift with 811s (1) cores
% 3.28/0.89 # Starting post_as_ho2 with 151s (1) cores
% 3.28/0.89 # Starting post_as_ho9 with 136s (1) cores
% 3.28/0.89 # Starting post_as_ho7 with 136s (1) cores
% 3.28/0.89 # Starting lpo1_lambda_fix with 136s (1) cores
% 3.28/0.89 # post_as_ho7 with pid 10619 completed with status 0
% 3.28/0.89 # Result found by post_as_ho7
% 3.28/0.89 # Preprocessing class: HSSSSMSSSSSNHHN.
% 3.28/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.28/0.89 # Starting post_as_ho2 with 1500s (5) cores
% 3.28/0.89 # No SInE strategy applied
% 3.28/0.89 # Search class: HGHNF-FFSF00-SHHFFSBN
% 3.28/0.89 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.28/0.89 # Starting ehoh_best_nonlift with 811s (1) cores
% 3.28/0.89 # Starting post_as_ho2 with 151s (1) cores
% 3.28/0.89 # Starting post_as_ho9 with 136s (1) cores
% 3.28/0.89 # Starting post_as_ho7 with 136s (1) cores
% 3.28/0.89 # Preprocessing time : 0.002 s
% 3.28/0.89
% 3.28/0.89 # Proof found!
% 3.28/0.89 # SZS status Theorem
% 3.28/0.89 # SZS output start CNFRefutation
% See solution above
% 3.28/0.89 # Parsed axioms : 3
% 3.28/0.89 # Removed by relevancy pruning/SinE : 0
% 3.28/0.89 # Initial clauses : 15
% 3.28/0.89 # Removed in clause preprocessing : 2
% 3.28/0.89 # Initial clauses in saturation : 13
% 3.28/0.89 # Processed clauses : 1659
% 3.28/0.89 # ...of these trivial : 85
% 3.28/0.89 # ...subsumed : 538
% 3.28/0.89 # ...remaining for further processing : 1035
% 3.28/0.89 # Other redundant clauses eliminated : 21
% 3.28/0.89 # Clauses deleted for lack of memory : 0
% 3.28/0.89 # Backward-subsumed : 398
% 3.28/0.89 # Backward-rewritten : 270
% 3.28/0.89 # Generated clauses : 8866
% 3.28/0.89 # ...of the previous two non-redundant : 7972
% 3.28/0.89 # ...aggressively subsumed : 0
% 3.28/0.89 # Contextual simplify-reflections : 296
% 3.28/0.89 # Paramodulations : 6879
% 3.28/0.89 # Factorizations : 98
% 3.28/0.89 # NegExts : 419
% 3.28/0.89 # Equation resolutions : 21
% 3.28/0.89 # Disequality decompositions : 0
% 3.28/0.89 # Total rewrite steps : 1656
% 3.28/0.89 # ...of those cached : 1651
% 3.28/0.89 # Propositional unsat checks : 0
% 3.28/0.89 # Propositional check models : 0
% 3.28/0.89 # Propositional check unsatisfiable : 0
% 3.28/0.89 # Propositional clauses : 0
% 3.28/0.89 # Propositional clauses after purity: 0
% 3.28/0.89 # Propositional unsat core size : 0
% 3.28/0.89 # Propositional preprocessing time : 0.000
% 3.28/0.89 # Propositional encoding time : 0.000
% 3.28/0.89 # Propositional solver time : 0.000
% 3.28/0.89 # Success case prop preproc time : 0.000
% 3.28/0.89 # Success case prop encoding time : 0.000
% 3.28/0.89 # Success case prop solver time : 0.000
% 3.28/0.89 # Current number of processed clauses : 97
% 3.28/0.89 # Positive orientable unit clauses : 5
% 3.28/0.89 # Positive unorientable unit clauses: 0
% 3.28/0.89 # Negative unit clauses : 16
% 3.28/0.89 # Non-unit-clauses : 76
% 3.28/0.89 # Current number of unprocessed clauses: 5457
% 3.28/0.89 # ...number of literals in the above : 41059
% 3.28/0.89 # Current number of archived formulas : 0
% 3.28/0.89 # Current number of archived clauses : 938
% 3.28/0.89 # Clause-clause subsumption calls (NU) : 39254
% 3.28/0.89 # Rec. Clause-clause subsumption calls : 5045
% 3.28/0.89 # Non-unit clause-clause subsumptions : 1058
% 3.28/0.89 # Unit Clause-clause subsumption calls : 326
% 3.28/0.89 # Rewrite failures with RHS unbound : 0
% 3.28/0.89 # BW rewrite match attempts : 5
% 3.28/0.89 # BW rewrite match successes : 5
% 3.28/0.89 # Condensation attempts : 0
% 3.28/0.89 # Condensation successes : 0
% 3.28/0.89 # Termbank termtop insertions : 657947
% 3.28/0.89 # Search garbage collected termcells : 306
% 3.28/0.89
% 3.28/0.89 # -------------------------------------------------
% 3.28/0.89 # User time : 0.367 s
% 3.28/0.89 # System time : 0.014 s
% 3.28/0.89 # Total time : 0.381 s
% 3.28/0.89 # Maximum resident set size: 1812 pages
% 3.28/0.89
% 3.28/0.89 # -------------------------------------------------
% 3.28/0.89 # User time : 1.809 s
% 3.28/0.89 # System time : 0.096 s
% 3.28/0.89 # Total time : 1.905 s
% 3.28/0.89 # Maximum resident set size: 1720 pages
% 3.28/0.89 % E---3.1 exiting
% 3.28/0.89 % E exiting
%------------------------------------------------------------------------------