%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV031^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:35:51 AM UTC 2026
% Result : Theorem 0.36s 0.27s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 1
% Syntax : Number of formulae : 77 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 318 ( 0 equ; 0 cnn)
% Maximal formula atoms : 101 ( 4 avg)
% Number of connectives : 1158 ( 144 ~; 217 |; 38 &; 735 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 111 ( 0 ^; 111 !; 0 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
epred2_0: a > ( a > b ) > ( a > b ) > $o ).
thf(decl_25,type,
esk1_0: a > b ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_0: a > b ).
thf(decl_28,type,
esk4_0: a > b ).
thf(decl_29,type,
esk5_0: a ).
thf(decl_30,type,
esk6_0: a > b ).
thf(decl_31,type,
esk7_0: a > b ).
thf(decl_32,type,
esk8_0: a > b ).
thf(decl_33,type,
esk9_0: a ).
thf(cTHM512_pme,conjecture,
! [X1: a > $o,X2: a > ( a > b ) > ( a > b ) > $o] :
( ! [X3: a] :
( ( X1 @ X3 )
=> ( ! [X4: a > b] : ( X2 @ X3 @ X4 @ X4 )
& ! [X4: a > b,X5: a > b] :
( ( X2 @ X3 @ X4 @ X5 )
=> ( X2 @ X3 @ X5 @ X4 ) )
& ! [X4: a > b,X5: a > b,X6: a > b] :
( ( ( X2 @ X3 @ X4 @ X5 )
& ( X2 @ X3 @ X5 @ X6 ) )
=> ( X2 @ X3 @ X4 @ X6 ) ) ) )
=> ( ! [X7: a > b,X8: a] :
( ( X1 @ X8 )
=> ( X2 @ X8 @ X7 @ X7 ) )
& ! [X9: a > b,X5: a > b] :
( ! [X10: a] :
( ( X1 @ X10 )
=> ( X2 @ X10 @ X9 @ X5 ) )
=> ! [X11: a] :
( ( X1 @ X11 )
=> ( X2 @ X11 @ X5 @ X9 ) ) )
& ! [X12: a > b,X5: a > b,X6: a > b] :
( ( ! [X13: a] :
( ( X1 @ X13 )
=> ( X2 @ X13 @ X12 @ X5 ) )
& ! [X14: a] :
( ( X1 @ X14 )
=> ( X2 @ X14 @ X5 @ X6 ) ) )
=> ! [X15: a] :
( ( X1 @ X15 )
=> ( X2 @ X15 @ X12 @ X6 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.bKMcO0AtXj/E---3.1_3473076.p',cTHM512_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > ( a > b ) > ( a > b ) > $o] :
( ! [X3: a] :
( ( X1 @ X3 )
=> ( ! [X4: a > b] : ( X2 @ X3 @ X4 @ X4 )
& ! [X4: a > b,X5: a > b] :
( ( X2 @ X3 @ X4 @ X5 )
=> ( X2 @ X3 @ X5 @ X4 ) )
& ! [X4: a > b,X5: a > b,X6: a > b] :
( ( ( X2 @ X3 @ X4 @ X5 )
& ( X2 @ X3 @ X5 @ X6 ) )
=> ( X2 @ X3 @ X4 @ X6 ) ) ) )
=> ( ! [X7: a > b,X8: a] :
( ( X1 @ X8 )
=> ( X2 @ X8 @ X7 @ X7 ) )
& ! [X9: a > b,X5: a > b] :
( ! [X10: a] :
( ( X1 @ X10 )
=> ( X2 @ X10 @ X9 @ X5 ) )
=> ! [X11: a] :
( ( X1 @ X11 )
=> ( X2 @ X11 @ X5 @ X9 ) ) )
& ! [X12: a > b,X5: a > b,X6: a > b] :
( ( ! [X13: a] :
( ( X1 @ X13 )
=> ( X2 @ X13 @ X12 @ X5 ) )
& ! [X14: a] :
( ( X1 @ X14 )
=> ( X2 @ X14 @ X5 @ X6 ) ) )
=> ! [X15: a] :
( ( X1 @ X15 )
=> ( X2 @ X15 @ X12 @ X6 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM512_pme]) ).
thf(c_0_2,negated_conjecture,
! [X39: a,X40: a > b,X41: a > b,X42: a > b,X43: a > b,X44: a > b,X45: a > b,X50: a,X55: a,X56: a] :
( ( ( epred2_0 @ X39 @ X40 @ X40 )
| ~ ( epred1_0 @ X39 ) )
& ( ~ ( epred2_0 @ X39 @ X41 @ X42 )
| ( epred2_0 @ X39 @ X42 @ X41 )
| ~ ( epred1_0 @ X39 ) )
& ( ~ ( epred2_0 @ X39 @ X43 @ X44 )
| ~ ( epred2_0 @ X39 @ X44 @ X45 )
| ( epred2_0 @ X39 @ X43 @ X45 )
| ~ ( epred1_0 @ X39 ) )
& ( ~ ( epred1_0 @ X55 )
| ( epred2_0 @ X55 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ X50 )
| ( epred2_0 @ X50 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X56 )
| ( epred2_0 @ X56 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ X50 )
| ( epred2_0 @ X50 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 )
| ~ ( epred1_0 @ X50 )
| ( epred2_0 @ X50 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X50 )
| ( epred2_0 @ X50 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X55 )
| ( epred2_0 @ X55 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X56 )
| ( epred2_0 @ X56 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X55 )
| ( epred2_0 @ X55 @ esk6_0 @ esk7_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X56 )
| ( epred2_0 @ X56 @ esk7_0 @ esk8_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X55 )
| ( epred2_0 @ X55 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ X50 )
| ( epred2_0 @ X50 @ esk3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X56 )
| ( epred2_0 @ X56 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ X50 )
| ( epred2_0 @ X50 @ esk3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 )
| ~ ( epred1_0 @ X50 )
| ( epred2_0 @ X50 @ esk3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X50 )
| ( epred2_0 @ X50 @ esk3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X55 )
| ( epred2_0 @ X55 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X56 )
| ( epred2_0 @ X56 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X55 )
| ( epred2_0 @ X55 @ esk6_0 @ esk7_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X56 )
| ( epred2_0 @ X56 @ esk7_0 @ esk8_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_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,
! [X5: a > b,X4: a > b,X3: a] :
( ( epred2_0 @ X3 @ X5 @ X4 )
| ~ ( epred2_0 @ X3 @ X4 @ X5 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: a] :
( ( epred1_0 @ esk9_0 )
| ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( ( epred1_0 @ esk9_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X4: a > b,X3: a] :
( ( epred2_0 @ X3 @ X4 @ X4 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
( ( epred1_0 @ esk9_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
( ( epred1_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk9_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_10,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X3: a] :
( ( epred1_0 @ esk9_0 )
| ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_6]),c_0_12]) ).
thf(c_0_16,negated_conjecture,
! [X4: a > b,X6: a > b,X5: a > b,X3: a] :
( ( epred2_0 @ X3 @ X4 @ X6 )
| ~ ( epred2_0 @ X3 @ X4 @ X5 )
| ~ ( epred2_0 @ X3 @ X5 @ X6 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_6]),c_0_14]) ).
thf(c_0_18,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_19,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_20,negated_conjecture,
( ( epred1_0 @ esk9_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_21,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_15]) ).
thf(c_0_22,negated_conjecture,
! [X4: a > b,X3: a] :
( ( epred2_0 @ X3 @ X4 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ X3 @ X4 @ esk7_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_23,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_6]),c_0_19]) ).
thf(c_0_24,negated_conjecture,
( ( epred1_0 @ esk9_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_10]) ).
thf(c_0_25,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_26,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_27,negated_conjecture,
epred1_0 @ esk9_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_6]),c_0_12]) ).
thf(c_0_28,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_29,negated_conjecture,
! [X3: a,X8: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X8 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X8 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_30,negated_conjecture,
! [X3: a,X8: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X8 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_31,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
thf(c_0_32,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_27])]) ).
thf(c_0_33,negated_conjecture,
! [X3: a,X8: a] :
( ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ X8 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_6]),c_0_30]) ).
thf(c_0_34,negated_conjecture,
epred1_0 @ esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_6]),c_0_32]) ).
thf(c_0_35,negated_conjecture,
! [X3: a,X8: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X8 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X8 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_36,negated_conjecture,
! [X3: a,X8: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X8 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_37,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_38,negated_conjecture,
! [X3: a,X8: a] :
( ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ X8 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_6]),c_0_36]) ).
thf(c_0_39,negated_conjecture,
( ( epred2_0 @ esk9_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_27]) ).
thf(c_0_40,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_34]) ).
thf(c_0_41,negated_conjecture,
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ esk9_0 @ esk7_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_39]),c_0_27])]) ).
thf(c_0_42,negated_conjecture,
( ( epred2_0 @ esk9_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
thf(c_0_43,negated_conjecture,
! [X4: a > b] :
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ esk9_0 @ X4 @ esk6_0 )
| ~ ( epred2_0 @ esk9_0 @ X4 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_41]),c_0_27])]) ).
thf(c_0_44,negated_conjecture,
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ esk9_0 @ esk8_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_42]),c_0_27])]) ).
thf(c_0_45,negated_conjecture,
( ( epred2_0 @ esk9_0 @ esk8_0 @ esk6_0 )
| ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_46,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_47,negated_conjecture,
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_45]),c_0_27])]) ).
thf(c_0_48,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_49,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_50,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
thf(c_0_51,negated_conjecture,
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
thf(c_0_52,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ esk5_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ X3 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_6]),c_0_51]) ).
thf(c_0_53,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_54,negated_conjecture,
( ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_51]),c_0_34])]) ).
thf(c_0_55,negated_conjecture,
epred2_0 @ esk5_0 @ esk3_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_52,c_0_34]) ).
thf(c_0_56,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_57,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_58,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_59,negated_conjecture,
epred2_0 @ esk5_0 @ esk4_0 @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_55]),c_0_34])]) ).
thf(c_0_60,negated_conjecture,
! [X4: a > b,X3: a] :
( ( epred2_0 @ X3 @ X4 @ esk8_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X3 @ X4 @ esk7_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_56]) ).
thf(c_0_61,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_54]) ).
thf(c_0_62,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_63,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
thf(c_0_64,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_65,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_59])]) ).
thf(c_0_66,negated_conjecture,
epred1_0 @ esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_27])]) ).
thf(c_0_67,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_68,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_6]),c_0_66])]) ).
thf(c_0_69,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_59])]) ).
thf(c_0_70,negated_conjecture,
( ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk5_0 @ esk4_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_71,negated_conjecture,
! [X4: a > b,X3: a] :
( ( epred2_0 @ X3 @ X4 @ esk8_0 )
| ~ ( epred2_0 @ X3 @ X4 @ esk7_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_68]) ).
thf(c_0_72,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_6]),c_0_66])]) ).
thf(c_0_73,negated_conjecture,
( ~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk9_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_59])]) ).
thf(c_0_74,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
thf(c_0_75,negated_conjecture,
~ ( epred2_0 @ esk2_0 @ esk1_0 @ esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_27])]) ).
thf(c_0_76,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_6]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV031^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n007.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 15:01:12 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.23 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/tmp/tmp.bKMcO0AtXj/E---3.1_3473076.p
% 0.36/0.27 % Version: 3.5.1-ho
% 0.36/0.27 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.36/0.27 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.27 % Starting full_lambda_6 with 900s (3) cores
% 0.36/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.36/0.27 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.36/0.27 % Starting ho_unfolding_1 with 300s (1) cores
% 0.36/0.27 % Starting new_ho_10_unif with 300s (1) cores
% 0.36/0.27 % Starting ho_unfolding_2 with 300s (1) cores
% 0.36/0.27 % full_lambda_6 with pid 3473089 completed with status 0
% 0.36/0.27 % Result found by full_lambda_6
% 0.36/0.27 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.36/0.27 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.27 % Starting full_lambda_6 with 900s (3) cores
% 0.36/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.36/0.27 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.36/0.27 % Search class: HGHNF-FFMF00-SHHFFFNN
% 0.36/0.27 % partial match(1): HGHNF-FFSF00-SHHFFFNN
% 0.36/0.27 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.36/0.27 % Starting SubtermCWHack with 82s (1) cores
% 0.36/0.27 % Starting full_lambda_6 with 91s (1) cores
% 0.36/0.27 % Starting sh5l with 82s (1) cores
% 0.36/0.27 % SubtermCWHack with pid 3473096 completed with status 0
% 0.36/0.27 % Result found by SubtermCWHack
% 0.36/0.27 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.36/0.27 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.27 % Starting full_lambda_6 with 900s (3) cores
% 0.36/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.36/0.27 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.36/0.27 % Search class: HGHNF-FFMF00-SHHFFFNN
% 0.36/0.27 % partial match(1): HGHNF-FFSF00-SHHFFFNN
% 0.36/0.27 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.36/0.27 % Starting SubtermCWHack with 82s (1) cores
% 0.36/0.27 % Preprocessing time : 0.001 s
% 0.36/0.27
% 0.36/0.27 % Proof found!
% 0.36/0.27 % SZS status Theorem
% 0.36/0.27 % SZS output start CNFRefutation
% See solution above
% 0.36/0.27 % Parsed axioms : 3
% 0.36/0.27 % Removed by relevancy pruning/SinE : 2
% 0.36/0.27 % Initial clauses : 27
% 0.36/0.27 % Removed in clause preprocessing : 0
% 0.36/0.27 % Initial clauses in saturation : 27
% 0.36/0.27 % Processed clauses : 428
% 0.36/0.27 % ...of these trivial : 0
% 0.36/0.27 % ...subsumed : 225
% 0.36/0.27 % ...remaining for further processing : 203
% 0.36/0.27 % Other redundant clauses eliminated : 0
% 0.36/0.27 % Clauses deleted for lack of memory : 0
% 0.36/0.27 % Backward-subsumed : 91
% 0.36/0.27 % Backward-rewritten : 83
% 0.36/0.27 % Generated clauses : 640
% 0.36/0.27 % ...of the previous two non-redundant : 544
% 0.36/0.27 % ...aggressively subsumed : 0
% 0.36/0.27 % Contextual simplify-reflections : 12
% 0.36/0.27 % Paramodulations : 640
% 0.36/0.27 % Factorizations : 0
% 0.36/0.27 % NegExts : 0
% 0.36/0.27 % Equation resolutions : 0
% 0.36/0.27 % Disequality decompositions : 0
% 0.36/0.27 % Total rewrite steps : 358
% 0.36/0.27 % ...of those cached : 347
% 0.36/0.27 % Propositional unsat checks : 0
% 0.36/0.27 % Propositional check models : 0
% 0.36/0.27 % Propositional check unsatisfiable : 0
% 0.36/0.27 % Propositional clauses : 0
% 0.36/0.27 % Propositional clauses after purity: 0
% 0.36/0.27 % Propositional unsat core size : 0
% 0.36/0.27 % Propositional preprocessing time : 0.000
% 0.36/0.27 % Propositional encoding time : 0.000
% 0.36/0.27 % Propositional solver time : 0.000
% 0.36/0.27 % Success case prop preproc time : 0.000
% 0.36/0.27 % Success case prop encoding time : 0.000
% 0.36/0.27 % Success case prop solver time : 0.000
% 0.36/0.27 % Current number of processed clauses : 29
% 0.36/0.27 % Positive orientable unit clauses : 11
% 0.36/0.27 % Positive unorientable unit clauses: 0
% 0.36/0.27 % Negative unit clauses : 1
% 0.36/0.27 % Non-unit-clauses : 17
% 0.36/0.27 % Current number of unprocessed clauses: 40
% 0.36/0.27 % ...number of literals in the above : 137
% 0.36/0.27 % Current number of archived formulas : 0
% 0.36/0.27 % Current number of archived clauses : 174
% 0.36/0.27 % Clause-clause subsumption calls (NU) : 4874
% 0.36/0.27 % Rec. Clause-clause subsumption calls : 3069
% 0.36/0.27 % Non-unit clause-clause subsumptions : 306
% 0.36/0.27 % Unit Clause-clause subsumption calls : 131
% 0.36/0.27 % Rewrite failures with RHS unbound : 0
% 0.36/0.27 % BW rewrite match attempts : 22
% 0.36/0.27 % BW rewrite match successes : 10
% 0.36/0.27 % Condensation attempts : 0
% 0.36/0.27 % Condensation successes : 0
% 0.36/0.27 % Termbank termtop insertions : 11543
% 0.36/0.27 % Search garbage collected termcells : 592
% 0.36/0.27
% 0.36/0.27 % -------------------------------------------------
% 0.36/0.27 % User time : 0.016 s
% 0.36/0.27 % System time : 0.003 s
% 0.36/0.27 % Total time : 0.019 s
% 0.36/0.27 % Maximum resident set size: 3648 pages
% 0.36/0.27
% 0.36/0.27 % -------------------------------------------------
% 0.36/0.27 % User time : 0.034 s
% 0.36/0.27 % System time : 0.009 s
% 0.36/0.27 % Total time : 0.043 s
% 0.36/0.27 % Maximum resident set size: 4864 pages
% 0.36/0.27 % E exiting
%------------------------------------------------------------------------------