%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV107^5 : 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 : n013.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 08:34:53 AM UTC 2026
% Result : Theorem 0.12s 0.27s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 1
% Syntax : Number of formulae : 47 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 309 ( 0 equ; 0 cnn)
% Maximal formula atoms : 107 ( 6 avg)
% Number of connectives : 1048 ( 143 ~; 181 |; 63 &; 643 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 154 ( 0 ^; 145 !; 9 ?; 154 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
z: a ).
thf(decl_24,type,
cR: a > a > $o ).
thf(decl_25,type,
f: a > $i > $o ).
thf(decl_26,type,
cS: $i > $i > $o ).
thf(decl_27,type,
esk1_1: a > $i ).
thf(decl_28,type,
esk2_0: a ).
thf(decl_29,type,
esk3_1: $i > a ).
thf(decl_30,type,
esk4_0: $i ).
thf(decl_31,type,
esk5_0: a ).
thf(decl_32,type,
esk6_0: a ).
thf(decl_33,type,
esk7_0: $i ).
thf(decl_34,type,
esk8_1: a > a ).
thf(cTHM552B_pme,conjecture,
( ( ! [X1: a,X2: a,X3: a] :
( ( ( cR @ X1 @ X2 )
& ( cR @ X3 @ X2 ) )
=> ( cR @ X1 @ X3 ) )
& ! [X4: a] : ( cR @ X4 @ X4 ) )
=> ( ( ! [X4: a] :
? [X5: $i] : ( f @ X4 @ X5 )
& ! [X4: a,X6: $i,X7: $i] :
( ( ( f @ X4 @ X6 )
& ( f @ X4 @ X7 ) )
=> ( cS @ X6 @ X7 ) )
& ! [X8: a,X9: a,X5: $i] :
( ( ( f @ X8 @ X5 )
& ( f @ X9 @ X5 ) )
=> ( cR @ X8 @ X9 ) ) )
=> ( ! [X4: a] :
? [X5: $i] :
! [X3: a] :
( ( f @ X4 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X4 @ z ) ) )
& ! [X5: $i,X8: a,X9: a] :
( ( ! [X3: a] :
( ( f @ X8 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X8 @ z ) ) )
& ! [X3: a] :
( ( f @ X9 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X9 @ z ) ) ) )
=> ( cR @ X8 @ X9 ) )
& ! [X5: $i] :
? [X4: a] :
! [X3: a] :
( ( f @ X4 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X4 @ z ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.sIeYGAwOPF/E---3.1_2234277.p',cTHM552B_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: a,X2: a,X3: a] :
( ( ( cR @ X1 @ X2 )
& ( cR @ X3 @ X2 ) )
=> ( cR @ X1 @ X3 ) )
& ! [X4: a] : ( cR @ X4 @ X4 ) )
=> ( ( ! [X4: a] :
? [X5: $i] : ( f @ X4 @ X5 )
& ! [X4: a,X6: $i,X7: $i] :
( ( ( f @ X4 @ X6 )
& ( f @ X4 @ X7 ) )
=> ( cS @ X6 @ X7 ) )
& ! [X8: a,X9: a,X5: $i] :
( ( ( f @ X8 @ X5 )
& ( f @ X9 @ X5 ) )
=> ( cR @ X8 @ X9 ) ) )
=> ( ! [X4: a] :
? [X5: $i] :
! [X3: a] :
( ( f @ X4 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X4 @ z ) ) )
& ! [X5: $i,X8: a,X9: a] :
( ( ! [X3: a] :
( ( f @ X8 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X8 @ z ) ) )
& ! [X3: a] :
( ( f @ X9 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X9 @ z ) ) ) )
=> ( cR @ X8 @ X9 ) )
& ! [X5: $i] :
? [X4: a] :
! [X3: a] :
( ( f @ X4 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X4 @ z ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM552B_pme]) ).
thf(c_0_2,negated_conjecture,
~ ( ( ! [X1: a,X2: a,X3: a] :
( ( ( cR @ X1 @ X2 )
& ( cR @ X3 @ X2 ) )
=> ( cR @ X1 @ X3 ) )
& ! [X4: a] : ( cR @ X4 @ X4 ) )
=> ( ( ! [X4: a] :
? [X5: $i] : ( f @ X4 @ X5 )
& ! [X4: a,X6: $i,X7: $i] :
( ( ( f @ X4 @ X6 )
& ( f @ X4 @ X7 ) )
=> ( cS @ X6 @ X7 ) )
& ! [X8: a,X9: a,X5: $i] :
( ( ( f @ X8 @ X5 )
& ( f @ X9 @ X5 ) )
=> ( cR @ X8 @ X9 ) ) )
=> ( ! [X4: a] :
? [X5: $i] :
! [X3: a] :
( ( f @ X4 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X4 @ z ) ) )
& ! [X5: $i,X8: a,X9: a] :
( ( ! [X3: a] :
( ( f @ X8 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X8 @ z ) ) )
& ! [X3: a] :
( ( f @ X9 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X9 @ z ) ) ) )
=> ( cR @ X8 @ X9 ) )
& ! [X5: $i] :
? [X4: a] :
! [X3: a] :
( ( f @ X4 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X4 @ z ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X33: a,X34: a,X35: a,X36: a,X37: a,X39: a,X40: $i,X41: $i,X42: a,X43: a,X44: $i,X46: $i,X51: a,X52: a,X54: a] :
( ( ~ ( cR @ X33 @ X34 )
| ~ ( cR @ X35 @ X34 )
| ( cR @ X33 @ X35 ) )
& ( cR @ X36 @ X36 )
& ( f @ X37 @ ( esk1_1 @ X37 ) )
& ( ~ ( f @ X39 @ X40 )
| ~ ( f @ X39 @ X41 )
| ( cS @ X40 @ X41 ) )
& ( ~ ( f @ X42 @ X44 )
| ~ ( f @ X43 @ X44 )
| ( cR @ X42 @ X43 ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ~ ( f @ X51 @ esk4_0 )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ~ ( f @ X51 @ esk4_0 )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ( cR @ esk5_0 @ z )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ( cR @ esk5_0 @ z )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ~ ( f @ X52 @ esk4_0 )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ~ ( f @ X52 @ esk4_0 )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ( cR @ esk6_0 @ z )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ( cR @ esk6_0 @ z )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ~ ( cR @ esk5_0 @ esk6_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ~ ( cR @ esk5_0 @ esk6_0 )
| ~ ( f @ esk2_0 @ X46 ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ~ ( f @ X51 @ esk4_0 )
| ( f @ esk5_0 @ esk4_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ~ ( f @ X51 @ esk4_0 )
| ( f @ esk5_0 @ esk4_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ( cR @ esk5_0 @ z )
| ( f @ esk5_0 @ esk4_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ( cR @ esk5_0 @ z )
| ( f @ esk5_0 @ esk4_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ~ ( f @ X52 @ esk4_0 )
| ( f @ esk6_0 @ esk4_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ~ ( f @ X52 @ esk4_0 )
| ( f @ esk6_0 @ esk4_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ( cR @ esk6_0 @ z )
| ( f @ esk6_0 @ esk4_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ( cR @ esk6_0 @ z )
| ( f @ esk6_0 @ esk4_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ~ ( f @ X54 @ esk7_0 )
| ~ ( cR @ esk5_0 @ esk6_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) )
& ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
| ~ ( cR @ X54 @ z )
| ~ ( cR @ esk5_0 @ esk6_0 )
| ( f @ ( esk3_1 @ X46 ) @ X46 )
| ~ ( cR @ esk2_0 @ z ) ) ),
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,
! [X1: a,X5: $i] :
( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
| ( cR @ esk5_0 @ z )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: a,X5: $i] :
( ( cR @ esk5_0 @ z )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ X1 @ esk7_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: a,X5: $i] :
( ( f @ esk5_0 @ esk4_0 )
| ( cR @ esk5_0 @ z )
| ~ ( cR @ X1 @ z )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(csr,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X1: a] : ( cR @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X5: $i] :
( ( cR @ esk5_0 @ z )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X1: a] : ( f @ X1 @ ( esk1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_10,negated_conjecture,
! [X1: a,X3: a,X2: a] :
( ( cR @ X1 @ X3 )
| ~ ( cR @ X1 @ X2 )
| ~ ( cR @ X3 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_11,negated_conjecture,
( ( f @ esk5_0 @ esk4_0 )
| ( cR @ esk5_0 @ z ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,negated_conjecture,
! [X1: a,X5: $i] :
( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
| ( cR @ esk6_0 @ z )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_13,negated_conjecture,
! [X1: a,X5: $i] :
( ( cR @ esk6_0 @ z )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ X1 @ esk7_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_14,negated_conjecture,
! [X1: a] :
( ( f @ esk5_0 @ esk4_0 )
| ( cR @ X1 @ esk5_0 )
| ~ ( cR @ X1 @ z ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_15,negated_conjecture,
! [X1: a,X5: $i] :
( ( f @ esk6_0 @ esk4_0 )
| ( cR @ esk6_0 @ z )
| ~ ( cR @ X1 @ z )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_16,negated_conjecture,
! [X1: a,X2: a] :
( ( f @ esk5_0 @ esk4_0 )
| ( cR @ X1 @ X2 )
| ~ ( cR @ X1 @ esk5_0 )
| ~ ( cR @ X2 @ z ) ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
thf(c_0_17,negated_conjecture,
! [X5: $i] :
( ( cR @ esk6_0 @ z )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
thf(c_0_18,negated_conjecture,
! [X1: a,X5: $i] :
( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
| ~ ( cR @ X1 @ z )
| ~ ( cR @ esk5_0 @ esk6_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_19,negated_conjecture,
! [X1: a,X5: $i] :
( ~ ( f @ X1 @ esk7_0 )
| ~ ( cR @ esk5_0 @ esk6_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_20,negated_conjecture,
! [X1: a] :
( ( f @ esk5_0 @ esk4_0 )
| ( cR @ esk5_0 @ X1 )
| ~ ( cR @ X1 @ z ) ),
inference(spm,[status(thm)],[c_0_16,c_0_7]) ).
thf(c_0_21,negated_conjecture,
( ( f @ esk6_0 @ esk4_0 )
| ( cR @ esk6_0 @ z ) ),
inference(spm,[status(thm)],[c_0_17,c_0_9]) ).
thf(c_0_22,negated_conjecture,
! [X1: a,X5: $i] :
( ~ ( cR @ esk5_0 @ esk6_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,negated_conjecture,
( ( f @ esk6_0 @ esk4_0 )
| ( cR @ esk5_0 @ esk6_0 )
| ( f @ esk5_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_24,negated_conjecture,
! [X1: a,X5: $i] :
( ( f @ esk5_0 @ esk4_0 )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_25,negated_conjecture,
! [X5: $i] :
( ( f @ esk6_0 @ esk4_0 )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
thf(c_0_26,negated_conjecture,
! [X1: a,X2: a,X5: $i] :
( ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ X1 @ esk7_0 )
| ~ ( f @ X2 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_27,negated_conjecture,
( ( f @ esk5_0 @ esk4_0 )
| ( f @ esk6_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_9]) ).
thf(c_0_28,negated_conjecture,
! [X1: a,X2: a,X5: $i] :
( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
| ( f @ esk5_0 @ esk4_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ X2 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_29,negated_conjecture,
! [X1: a,X5: $i] :
( ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ X1 @ esk7_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_30,negated_conjecture,
! [X1: a,X2: a,X5: $i] :
( ( f @ esk5_0 @ esk4_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ X2 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(csr,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_31,negated_conjecture,
! [X1: a,X5: $i] :
( ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ X1 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_11]) ).
thf(c_0_32,negated_conjecture,
! [X5: $i] :
( ( f @ esk5_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
thf(c_0_33,negated_conjecture,
! [X1: a,X2: a,X5: $i] :
( ( cR @ X1 @ X2 )
| ~ ( f @ X1 @ X5 )
| ~ ( f @ X2 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_34,negated_conjecture,
f @ esk5_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_32,c_0_9]) ).
thf(c_0_35,negated_conjecture,
! [X1: a] :
( ( cR @ X1 @ esk5_0 )
| ~ ( f @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_36,negated_conjecture,
! [X1: a,X2: a] :
( ( cR @ X1 @ X2 )
| ~ ( cR @ X1 @ esk5_0 )
| ~ ( f @ X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_35]) ).
thf(c_0_37,negated_conjecture,
! [X1: a,X2: a,X5: $i] :
( ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ X1 @ esk7_0 )
| ~ ( f @ X2 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_38,negated_conjecture,
! [X1: a] :
( ( cR @ esk5_0 @ X1 )
| ~ ( f @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_7]) ).
thf(c_0_39,negated_conjecture,
! [X1: a,X2: a,X5: $i] :
( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
| ( f @ esk6_0 @ esk4_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ X2 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_40,negated_conjecture,
! [X1: a,X5: $i] :
( ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ X1 @ esk7_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_23]),c_0_37]) ).
thf(c_0_41,negated_conjecture,
! [X1: a,X5: $i] :
( ~ ( f @ esk6_0 @ esk4_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
thf(c_0_42,negated_conjecture,
! [X1: a,X2: a,X5: $i] :
( ( f @ esk6_0 @ esk4_0 )
| ~ ( cR @ X1 @ z )
| ~ ( f @ X2 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(csr,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_43,negated_conjecture,
! [X5: $i] :
( ~ ( f @ esk6_0 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_7]) ).
thf(c_0_44,negated_conjecture,
! [X1: a,X5: $i] :
( ~ ( f @ X1 @ esk4_0 )
| ~ ( f @ esk2_0 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_21]),c_0_43]) ).
thf(c_0_45,negated_conjecture,
! [X5: $i] :
~ ( f @ esk2_0 @ X5 ),
inference(spm,[status(thm)],[c_0_44,c_0_34]) ).
thf(c_0_46,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_45,c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV107^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n013.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Sep 29 15:10:06 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running higher-order theorem proving
% 0.12/0.24 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.sIeYGAwOPF/E---3.1_2234277.p
% 0.12/0.27 % Version: 3.5.1-ho
% 0.12/0.27 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.12/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.12/0.27 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.27 % Starting full_lambda_5 with 300s (1) cores
% 0.12/0.27 % Starting new_ho_10_unif with 300s (1) cores
% 0.12/0.27 % full_lambda_5 with pid 2234292 completed with status 0
% 0.12/0.27 % Result found by full_lambda_5
% 0.12/0.27 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.12/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.12/0.27 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.27 % Starting full_lambda_5 with 300s (1) cores
% 0.12/0.27 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.27 % No SInE strategy applied
% 0.12/0.27 % Search class: HGHNS-FFMF11-SFFFFFNN
% 0.12/0.27 % partial match(1): FGHNS-FFMF11-SFFFFFNN
% 0.12/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.27 % SubtermCWHack with pid 2234294 completed with status 0
% 0.12/0.27 % Result found by SubtermCWHack
% 0.12/0.27 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.12/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.12/0.27 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.27 % Starting full_lambda_5 with 300s (1) cores
% 0.12/0.27 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.27 % No SInE strategy applied
% 0.12/0.27 % Search class: HGHNS-FFMF11-SFFFFFNN
% 0.12/0.27 % partial match(1): FGHNS-FFMF11-SFFFFFNN
% 0.12/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.27 % Preprocessing time : 0.002 s
% 0.12/0.27
% 0.12/0.27 % Proof found!
% 0.12/0.27 % SZS status Theorem
% 0.12/0.27 % SZS output start CNFRefutation
% See solution above
% 0.12/0.27 % Parsed axioms : 6
% 0.12/0.27 % Removed by relevancy pruning/SinE : 0
% 0.12/0.27 % Initial clauses : 30
% 0.12/0.27 % Removed in clause preprocessing : 5
% 0.12/0.27 % Initial clauses in saturation : 25
% 0.12/0.27 % Processed clauses : 78
% 0.12/0.27 % ...of these trivial : 0
% 0.12/0.27 % ...subsumed : 15
% 0.12/0.27 % ...remaining for further processing : 63
% 0.12/0.27 % Other redundant clauses eliminated : 0
% 0.12/0.27 % Clauses deleted for lack of memory : 0
% 0.12/0.27 % Backward-subsumed : 28
% 0.12/0.27 % Backward-rewritten : 13
% 0.12/0.27 % Generated clauses : 109
% 0.12/0.27 % ...of the previous two non-redundant : 90
% 0.12/0.27 % ...aggressively subsumed : 0
% 0.12/0.27 % Contextual simplify-reflections : 10
% 0.12/0.27 % Paramodulations : 109
% 0.12/0.27 % Factorizations : 0
% 0.12/0.27 % NegExts : 0
% 0.12/0.27 % Equation resolutions : 0
% 0.12/0.27 % Disequality decompositions : 0
% 0.12/0.27 % Total rewrite steps : 24
% 0.12/0.27 % ...of those cached : 20
% 0.12/0.27 % Propositional unsat checks : 0
% 0.12/0.27 % Propositional check models : 0
% 0.12/0.27 % Propositional check unsatisfiable : 0
% 0.12/0.27 % Propositional clauses : 0
% 0.12/0.27 % Propositional clauses after purity: 0
% 0.12/0.27 % Propositional unsat core size : 0
% 0.12/0.27 % Propositional preprocessing time : 0.000
% 0.12/0.27 % Propositional encoding time : 0.000
% 0.12/0.27 % Propositional solver time : 0.000
% 0.12/0.27 % Success case prop preproc time : 0.000
% 0.12/0.27 % Success case prop encoding time : 0.000
% 0.12/0.27 % Success case prop solver time : 0.000
% 0.12/0.27 % Current number of processed clauses : 22
% 0.12/0.27 % Positive orientable unit clauses : 3
% 0.12/0.27 % Positive unorientable unit clauses: 0
% 0.12/0.27 % Negative unit clauses : 1
% 0.12/0.27 % Non-unit-clauses : 18
% 0.12/0.27 % Current number of unprocessed clauses: 28
% 0.12/0.27 % ...number of literals in the above : 118
% 0.12/0.27 % Current number of archived formulas : 0
% 0.12/0.27 % Current number of archived clauses : 41
% 0.12/0.27 % Clause-clause subsumption calls (NU) : 551
% 0.12/0.27 % Rec. Clause-clause subsumption calls : 322
% 0.12/0.27 % Non-unit clause-clause subsumptions : 49
% 0.12/0.27 % Unit Clause-clause subsumption calls : 6
% 0.12/0.27 % Rewrite failures with RHS unbound : 0
% 0.12/0.27 % BW rewrite match attempts : 1
% 0.12/0.27 % BW rewrite match successes : 1
% 0.12/0.27 % Condensation attempts : 0
% 0.12/0.27 % Condensation successes : 0
% 0.12/0.27 % Termbank termtop insertions : 4276
% 0.12/0.27 % Search garbage collected termcells : 604
% 0.12/0.27
% 0.12/0.27 % -------------------------------------------------
% 0.12/0.27 % User time : 0.009 s
% 0.12/0.27 % System time : 0.002 s
% 0.12/0.27 % Total time : 0.011 s
% 0.12/0.27 % Maximum resident set size: 3896 pages
% 0.12/0.27
% 0.12/0.27 % -------------------------------------------------
% 0.12/0.27 % User time : 0.011 s
% 0.12/0.27 % System time : 0.007 s
% 0.12/0.27 % Total time : 0.018 s
% 0.12/0.27 % Maximum resident set size: 4864 pages
% 0.12/0.27 % E exiting
%------------------------------------------------------------------------------