%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV267^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:35:18 AM UTC 2026
% Result : Theorem 0.27s 0.41s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 40 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 210 ( 2 equ; 0 cnn)
% Maximal formula atoms : 94 ( 5 avg)
% Number of connectives : 969 ( 130 ~; 193 |; 44 &; 574 @)
% ( 4 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 116 ( 2 ^; 105 !; 9 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: ( a > $o ) > $o ).
thf(decl_24,type,
epred2_2: ( a > $o ) > ( a > $o ) > a > $o ).
thf(decl_25,type,
esk1_2: ( a > $o ) > ( a > $o ) > a ).
thf(decl_26,type,
esk2_3: ( a > $o ) > ( a > $o ) > ( a > $o ) > a ).
thf(decl_27,type,
epred3_2: ( a > $o ) > ( a > $o ) > a > $o ).
thf(decl_28,type,
epred4_0: a > $o ).
thf(decl_29,type,
esk3_0: a ).
thf(decl_30,type,
esk4_2: ( a > $o ) > ( a > $o ) > a ).
thf(decl_31,type,
esk5_1: ( a > $o ) > a ).
thf(decl_32,type,
epred5_1: a > a > $o ).
thf(decl_33,type,
epred6_1: a > a > $o ).
thf(cNBHD_THM1_pme,conjecture,
! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o,X3: a > $o] :
( ( ! [X4: a > $o] :
( ( ( X1 @ X4 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ( X2 @ X5 ) ) )
=> ( X1 @ X4 ) )
& ( X3
= ( ^ [X6: a] :
? [X7: a > $o] :
( ( X1 @ X7 )
& ! [X5: a] :
( ( X7 @ X5 )
=> ( X2 @ X5 ) )
& ( X7 @ X6 ) ) ) ) )
=> ( X1 @ X3 ) )
=> ! [X2: a > $o] :
( ( X1 @ X2 )
<=> ! [X8: a] :
( ( X2 @ X8 )
=> ? [X3: a > $o] :
( ? [X9: a > $o] :
( ( X1 @ X9 )
& ! [X5: a] :
( ( X9 @ X5 )
=> ( X3 @ X5 ) )
& ( X9 @ X8 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X2 @ X5 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hMPliZVuNm/E---3.1_220891.p',cNBHD_THM1_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o,X3: a > $o] :
( ( ! [X4: a > $o] :
( ( ( X1 @ X4 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ( X2 @ X5 ) ) )
=> ( X1 @ X4 ) )
& ( X3
= ( ^ [X6: a] :
? [X7: a > $o] :
( ( X1 @ X7 )
& ! [X5: a] :
( ( X7 @ X5 )
=> ( X2 @ X5 ) )
& ( X7 @ X6 ) ) ) ) )
=> ( X1 @ X3 ) )
=> ! [X2: a > $o] :
( ( X1 @ X2 )
<=> ! [X8: a] :
( ( X2 @ X8 )
=> ? [X3: a > $o] :
( ? [X9: a > $o] :
( ( X1 @ X9 )
& ! [X5: a] :
( ( X9 @ X5 )
=> ( X3 @ X5 ) )
& ( X9 @ X8 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X2 @ X5 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cNBHD_THM1_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o,X3: a > $o] :
( ( ! [X4: a > $o] :
( ( ( X1 @ X4 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ( X2 @ X5 ) ) )
=> ( X1 @ X4 ) )
& ! [X21: a] :
( ( X3 @ X21 )
<=> ? [X7: a > $o] :
( ( X1 @ X7 )
& ! [X5: a] :
( ( X7 @ X5 )
=> ( X2 @ X5 ) )
& ( X7 @ X21 ) ) ) )
=> ( X1 @ X3 ) )
=> ! [X2: a > $o] :
( ( X1 @ X2 )
<=> ! [X8: a] :
( ( X2 @ X8 )
=> ? [X3: a > $o] :
( ? [X9: a > $o] :
( ( X1 @ X9 )
& ! [X5: a] :
( ( X9 @ X5 )
=> ( X3 @ X5 ) )
& ( X9 @ X8 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X2 @ X5 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
! [X23: a > $o,X24: a > $o,X26: a,X28: a > $o,X31: a,X34: a > $o,X35: a > $o,X38: a,X41: a,X42: a] :
( ( ( X28 @ ( esk2_3 @ X23 @ X24 @ X28 ) )
| ~ ( epred1_0 @ X28 )
| ~ ( X28 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ~ ( X23 @ ( esk2_3 @ X23 @ X24 @ X28 ) )
| ~ ( epred1_0 @ X28 )
| ~ ( X28 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ( epred1_0 @ ( epred3_2 @ X23 @ X24 ) )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ~ ( epred3_2 @ X23 @ X24 @ X31 )
| ( X23 @ X31 )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ( epred3_2 @ X23 @ X24 @ ( esk1_2 @ X23 @ X24 ) )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ( X28 @ ( esk2_3 @ X23 @ X24 @ X28 ) )
| ~ ( epred1_0 @ X28 )
| ~ ( X28 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred2_2 @ X23 @ X24 @ X26 )
| ( X23 @ X26 )
| ( epred1_0 @ X24 ) )
& ( ~ ( X23 @ ( esk2_3 @ X23 @ X24 @ X28 ) )
| ~ ( epred1_0 @ X28 )
| ~ ( X28 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred2_2 @ X23 @ X24 @ X26 )
| ( X23 @ X26 )
| ( epred1_0 @ X24 ) )
& ( ( epred1_0 @ ( epred3_2 @ X23 @ X24 ) )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred2_2 @ X23 @ X24 @ X26 )
| ( X23 @ X26 )
| ( epred1_0 @ X24 ) )
& ( ~ ( epred3_2 @ X23 @ X24 @ X31 )
| ( X23 @ X31 )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred2_2 @ X23 @ X24 @ X26 )
| ( X23 @ X26 )
| ( epred1_0 @ X24 ) )
& ( ( epred3_2 @ X23 @ X24 @ ( esk1_2 @ X23 @ X24 ) )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred2_2 @ X23 @ X24 @ X26 )
| ( X23 @ X26 )
| ( epred1_0 @ X24 ) )
& ( ( X28 @ ( esk2_3 @ X23 @ X24 @ X28 ) )
| ~ ( epred1_0 @ X28 )
| ~ ( X28 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ~ ( X23 @ ( esk2_3 @ X23 @ X24 @ X28 ) )
| ~ ( epred1_0 @ X28 )
| ~ ( X28 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ( epred1_0 @ ( epred3_2 @ X23 @ X24 ) )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ~ ( epred3_2 @ X23 @ X24 @ X31 )
| ( X23 @ X31 )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ( epred3_2 @ X23 @ X24 @ ( esk1_2 @ X23 @ X24 ) )
| ( X24 @ ( esk1_2 @ X23 @ X24 ) )
| ~ ( epred1_0 @ ( epred2_2 @ X23 @ X24 ) )
| ( epred1_0 @ X24 ) )
& ( ( epred4_0 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) )
& ( ( X34 @ ( esk5_1 @ X34 ) )
| ( X35 @ ( esk4_2 @ X34 @ X35 ) )
| ~ ( epred1_0 @ X35 )
| ~ ( X35 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred4_0 @ ( esk5_1 @ X34 ) )
| ( X35 @ ( esk4_2 @ X34 @ X35 ) )
| ~ ( epred1_0 @ X35 )
| ~ ( X35 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) )
& ( ( X34 @ ( esk5_1 @ X34 ) )
| ~ ( X34 @ ( esk4_2 @ X34 @ X35 ) )
| ~ ( epred1_0 @ X35 )
| ~ ( X35 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred4_0 @ ( esk5_1 @ X34 ) )
| ~ ( X34 @ ( esk4_2 @ X34 @ X35 ) )
| ~ ( epred1_0 @ X35 )
| ~ ( X35 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) )
& ( ( epred1_0 @ ( epred6_1 @ X38 ) )
| ~ ( epred4_0 @ X38 )
| ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred6_1 @ X38 @ X41 )
| ( epred5_1 @ X38 @ X41 )
| ~ ( epred4_0 @ X38 )
| ( epred1_0 @ epred4_0 ) )
& ( ( epred6_1 @ X38 @ X38 )
| ~ ( epred4_0 @ X38 )
| ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred5_1 @ X38 @ X42 )
| ( epred4_0 @ X42 )
| ~ ( epred4_0 @ X38 )
| ( epred1_0 @ epred4_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_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X2: a > $o,X5: a,X3: a > $o] :
( ( X2 @ X5 )
| ( X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( epred1_0 @ X3 )
| ~ ( epred3_2 @ X2 @ X3 @ X5 )
| ~ ( epred1_0 @ ( epred2_2 @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X2: a > $o,X3: a > $o,X5: a] :
( ( X2 @ X5 )
| ( X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( epred1_0 @ ( epred2_2 @ X2 @ X3 ) )
| ( epred1_0 @ X3 )
| ~ ( epred3_2 @ X2 @ X3 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ( epred3_2 @ X2 @ X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( epred1_0 @ X3 )
| ~ ( epred1_0 @ ( epred2_2 @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ( epred3_2 @ X2 @ X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( epred1_0 @ ( epred2_2 @ X2 @ X3 ) )
| ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X2: a > $o,X3: a > $o,X5: a] :
( ( X2 @ ( esk1_2 @ X3 @ X2 ) )
| ( epred1_0 @ X2 )
| ( X3 @ X5 )
| ~ ( epred3_2 @ X3 @ X2 @ X5 ) ),
inference(csr,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ( epred3_2 @ X2 @ X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X2: a > $o,X3: a > $o,X4: a > $o] :
( ( X2 @ ( esk2_3 @ X3 @ X4 @ X2 ) )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ ( esk1_2 @ X3 @ X4 ) )
| ~ ( X4 @ ( esk1_2 @ X3 @ X4 ) )
| ~ ( epred1_0 @ ( epred2_2 @ X3 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_11,negated_conjecture,
! [X2: a > $o,X3: a > $o,X4: a > $o] :
( ( X2 @ ( esk2_3 @ X3 @ X4 @ X2 ) )
| ( epred1_0 @ ( epred2_2 @ X3 @ X4 ) )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ ( esk1_2 @ X3 @ X4 ) )
| ~ ( X4 @ ( esk1_2 @ X3 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ( X2 @ ( esk1_2 @ X2 @ X3 ) )
| ( X3 @ ( esk1_2 @ X2 @ X3 ) )
| ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,negated_conjecture,
! [X6: a,X5: a] :
( ( epred4_0 @ X6 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred5_1 @ X5 @ X6 )
| ~ ( epred4_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_14,negated_conjecture,
! [X6: a,X5: a] :
( ( epred5_1 @ X5 @ X6 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred6_1 @ X5 @ X6 )
| ~ ( epred4_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_15,negated_conjecture,
! [X4: a > $o,X3: a > $o,X2: a > $o] :
( ( X2 @ ( esk2_3 @ X3 @ X4 @ X2 ) )
| ( epred1_0 @ X4 )
| ~ ( X4 @ ( esk1_2 @ X3 @ X4 ) )
| ~ ( X2 @ ( esk1_2 @ X3 @ X4 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_16,negated_conjecture,
! [X2: a > $o] :
( ( X2 @ ( esk1_2 @ X2 @ X2 ) )
| ( epred1_0 @ X2 ) ),
inference(ef,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
! [X2: a > $o,X4: a > $o,X3: a > $o] :
( ( epred1_0 @ X3 )
| ~ ( X2 @ ( esk2_3 @ X2 @ X3 @ X4 ) )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ ( esk1_2 @ X2 @ X3 ) )
| ~ ( X3 @ ( esk1_2 @ X2 @ X3 ) )
| ~ ( epred1_0 @ ( epred2_2 @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_18,negated_conjecture,
! [X2: a > $o,X4: a > $o,X3: a > $o] :
( ( epred1_0 @ ( epred2_2 @ X2 @ X3 ) )
| ( epred1_0 @ X3 )
| ~ ( X2 @ ( esk2_3 @ X2 @ X3 @ X4 ) )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ ( esk1_2 @ X2 @ X3 ) )
| ~ ( X3 @ ( esk1_2 @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_19,negated_conjecture,
! [X5: a,X6: a] :
( ( epred1_0 @ epred4_0 )
| ( epred4_0 @ X5 )
| ~ ( epred6_1 @ X6 @ X5 )
| ~ ( epred4_0 @ X6 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_20,negated_conjecture,
! [X3: a > $o,X2: a > $o] :
( ( X2 @ ( esk2_3 @ X3 @ X3 @ X2 ) )
| ( epred1_0 @ X3 )
| ~ ( X2 @ ( esk1_2 @ X3 @ X3 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_21,negated_conjecture,
! [X5: a] :
( ( epred1_0 @ ( epred6_1 @ X5 ) )
| ( epred1_0 @ epred4_0 )
| ~ ( epred4_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_22,negated_conjecture,
! [X2: a > $o,X3: a > $o,X4: a > $o] :
( ( epred1_0 @ X2 )
| ~ ( X3 @ ( esk2_3 @ X3 @ X2 @ X4 ) )
| ~ ( X4 @ ( esk1_2 @ X3 @ X2 ) )
| ~ ( X2 @ ( esk1_2 @ X3 @ X2 ) )
| ~ ( epred1_0 @ X4 ) ),
inference(csr,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_23,negated_conjecture,
! [X2: a > $o,X5: a] :
( ( epred4_0 @ ( esk2_3 @ X2 @ X2 @ ( epred6_1 @ X5 ) ) )
| ( epred1_0 @ epred4_0 )
| ( epred1_0 @ X2 )
| ~ ( epred6_1 @ X5 @ ( esk1_2 @ X2 @ X2 ) )
| ~ ( epred4_0 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
thf(c_0_24,negated_conjecture,
! [X5: a] :
( ( epred1_0 @ epred4_0 )
| ~ ( epred6_1 @ X5 @ ( esk1_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred4_0 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_21]),c_0_16]) ).
thf(c_0_25,negated_conjecture,
! [X5: a] :
( ( epred6_1 @ X5 @ X5 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred4_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_26,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ( X2 @ ( esk5_1 @ X2 ) )
| ( X3 @ ( esk4_2 @ X2 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_27,negated_conjecture,
epred1_0 @ epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16]) ).
thf(c_0_28,negated_conjecture,
( ( epred4_0 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_29,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ~ ( epred4_0 @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk4_2 @ X2 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_30,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ( X3 @ ( esk4_2 @ X2 @ X3 ) )
| ~ ( epred4_0 @ ( esk5_1 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_31,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ( X2 @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk4_2 @ X2 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( epred1_0 @ epred4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_32,negated_conjecture,
! [X3: a > $o,X2: a > $o] :
( ( X2 @ ( esk4_2 @ X3 @ X2 ) )
| ( X3 @ ( esk5_1 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
thf(c_0_33,negated_conjecture,
epred4_0 @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_27])]) ).
thf(c_0_34,negated_conjecture,
! [X2: a > $o] :
( ~ ( epred4_0 @ ( esk5_1 @ X2 ) )
| ~ ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_35,negated_conjecture,
! [X2: a > $o,X3: a > $o] :
( ( X2 @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk4_2 @ X2 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_27])]) ).
thf(c_0_36,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ ( esk4_2 @ X2 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ X2 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_33])]) ).
thf(c_0_37,negated_conjecture,
! [X2: a > $o] :
( ~ ( epred4_0 @ ( esk5_1 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_27])]) ).
thf(c_0_38,negated_conjecture,
epred4_0 @ ( esk5_1 @ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_27]),c_0_33])]) ).
thf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_27]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV267^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.27 % Computer : n011.cluster.edu
% 0.12/0.27 % Model : x86_64 x86_64
% 0.12/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.27 % Memory : 8046.5625MB
% 0.12/0.27 % OS : Linux 6.8.0-71-generic
% 0.12/0.27 % CPULimit : 300
% 0.12/0.27 % WCLimit : 300
% 0.12/0.27 % DateTime : Tue Sep 29 15:29:01 UTC 2026
% 0.12/0.27 % CPUTime :
% 0.12/0.27 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.34 Running higher-order theorem proving
% 0.27/0.36 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.hMPliZVuNm/E---3.1_220891.p
% 0.27/0.41 % Version: 3.5.1-ho
% 0.27/0.41 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.41 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.41 % Starting sh2lt with 1200s (4) cores
% 0.27/0.41 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.41 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.41 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.41 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.41 % ehoh_best3_rw with pid 220908 completed with status 0
% 0.27/0.41 % Result found by ehoh_best3_rw
% 0.27/0.41 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.41 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.41 % Starting sh2lt with 1200s (4) cores
% 0.27/0.41 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.41 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.41 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.41 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.41 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.27/0.41 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.27/0.41 % Search class: HGHNF-FFMF32-SHHFFMBN
% 0.27/0.41 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.41 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.41 % SubtermCWHack with pid 220909 completed with status 0
% 0.27/0.41 % Result found by SubtermCWHack
% 0.27/0.41 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.41 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.41 % Starting sh2lt with 1200s (4) cores
% 0.27/0.41 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.41 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.41 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.41 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.41 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.27/0.41 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.27/0.41 % Search class: HGHNF-FFMF32-SHHFFMBN
% 0.27/0.41 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.41 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.41 % Preprocessing time : 0.002 s
% 0.27/0.41
% 0.27/0.41 % Proof found!
% 0.27/0.41 % SZS status Theorem
% 0.27/0.41 % SZS output start CNFRefutation
% See solution above
% 0.27/0.41 % Parsed axioms : 2
% 0.27/0.41 % Removed by relevancy pruning/SinE : 1
% 0.27/0.41 % Initial clauses : 24
% 0.27/0.41 % Removed in clause preprocessing : 0
% 0.27/0.41 % Initial clauses in saturation : 24
% 0.27/0.41 % Processed clauses : 80
% 0.27/0.41 % ...of these trivial : 0
% 0.27/0.41 % ...subsumed : 21
% 0.27/0.41 % ...remaining for further processing : 59
% 0.27/0.41 % Other redundant clauses eliminated : 0
% 0.27/0.41 % Clauses deleted for lack of memory : 0
% 0.27/0.41 % Backward-subsumed : 9
% 0.27/0.41 % Backward-rewritten : 28
% 0.27/0.41 % Generated clauses : 228
% 0.27/0.41 % ...of the previous two non-redundant : 183
% 0.27/0.41 % ...aggressively subsumed : 0
% 0.27/0.41 % Contextual simplify-reflections : 13
% 0.27/0.41 % Paramodulations : 218
% 0.27/0.41 % Factorizations : 10
% 0.27/0.41 % NegExts : 0
% 0.27/0.41 % Equation resolutions : 0
% 0.27/0.41 % Disequality decompositions : 0
% 0.27/0.41 % Total rewrite steps : 35
% 0.27/0.41 % ...of those cached : 33
% 0.27/0.41 % Propositional unsat checks : 0
% 0.27/0.41 % Propositional check models : 0
% 0.27/0.41 % Propositional check unsatisfiable : 0
% 0.27/0.41 % Propositional clauses : 0
% 0.27/0.41 % Propositional clauses after purity: 0
% 0.27/0.41 % Propositional unsat core size : 0
% 0.27/0.41 % Propositional preprocessing time : 0.000
% 0.27/0.41 % Propositional encoding time : 0.000
% 0.27/0.41 % Propositional solver time : 0.000
% 0.27/0.41 % Success case prop preproc time : 0.000
% 0.27/0.41 % Success case prop encoding time : 0.000
% 0.27/0.41 % Success case prop solver time : 0.000
% 0.27/0.41 % Current number of processed clauses : 22
% 0.27/0.41 % Positive orientable unit clauses : 3
% 0.27/0.41 % Positive unorientable unit clauses: 0
% 0.27/0.41 % Negative unit clauses : 0
% 0.27/0.41 % Non-unit-clauses : 19
% 0.27/0.41 % Current number of unprocessed clauses: 125
% 0.27/0.41 % ...number of literals in the above : 767
% 0.27/0.41 % Current number of archived formulas : 0
% 0.27/0.41 % Current number of archived clauses : 37
% 0.27/0.41 % Clause-clause subsumption calls (NU) : 579
% 0.27/0.41 % Rec. Clause-clause subsumption calls : 140
% 0.27/0.41 % Non-unit clause-clause subsumptions : 43
% 0.27/0.41 % Unit Clause-clause subsumption calls : 1
% 0.27/0.41 % Rewrite failures with RHS unbound : 0
% 0.27/0.41 % BW rewrite match attempts : 1
% 0.27/0.41 % BW rewrite match successes : 1
% 0.27/0.41 % Condensation attempts : 0
% 0.27/0.41 % Condensation successes : 0
% 0.27/0.41 % Termbank termtop insertions : 9393
% 0.27/0.41 % Search garbage collected termcells : 744
% 0.27/0.41
% 0.27/0.41 % -------------------------------------------------
% 0.27/0.41 % User time : 0.021 s
% 0.27/0.41 % System time : 0.005 s
% 0.27/0.41 % Total time : 0.027 s
% 0.27/0.41 % Maximum resident set size: 3896 pages
% 0.27/0.41
% 0.27/0.41 % -------------------------------------------------
% 0.27/0.41 % User time : 0.023 s
% 0.27/0.41 % System time : 0.012 s
% 0.27/0.41 % Total time : 0.035 s
% 0.27/0.41 % Maximum resident set size: 4864 pages
% 0.27/0.41 % E exiting
%------------------------------------------------------------------------------