%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV001^5 : 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 : 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 08:35:37 AM UTC 2026
% Result : Theorem 229.85s 29.42s
% Output : CNFRefutation 229.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 47 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 83 equ; 0 cnn)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 655 ( 10 ~; 10 |; 23 &; 608 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 184 ( 0 ^; 184 !; 0 ?; 184 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
esk1_0: a > a > a ).
thf(decl_24,type,
esk2_0: a > a > a ).
thf(decl_25,type,
esk3_0: a ).
thf(decl_26,type,
esk4_0: a ).
thf(decl_27,type,
esk5_0: a ).
thf(decl_28,type,
esk6_0: a ).
thf(decl_29,type,
esk7_0: a ).
thf(decl_30,type,
esk8_0: a ).
thf(cDISTRIB_THM_pme,conjecture,
! [X1: a > a > a,X2: a > a > a] :
( ( ! [X3: a] :
( ( X1 @ X3 @ X3 )
= X3 )
& ! [X3: a] :
( ( X2 @ X3 @ X3 )
= X3 )
& ! [X3: a,X4: a,X5: a] :
( ( X1 @ ( X1 @ X3 @ X4 ) @ X5 )
= ( X1 @ X3 @ ( X1 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ X3 @ ( X2 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
= ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X2 @ X3 @ X4 )
= ( X2 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X1 @ ( X2 @ X3 @ X4 ) @ X4 )
= X4 )
& ! [X3: a,X4: a] :
( ( X2 @ ( X1 @ X3 @ X4 ) @ X4 )
= X4 ) )
=> ( ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ ( X2 @ X4 @ X5 ) )
= ( X2 @ ( X1 @ X3 @ X4 ) @ ( X1 @ X3 @ X5 ) ) )
<=> ! [X3: a,X4: a,X5: a] :
( ( X2 @ X3 @ ( X1 @ X4 @ X5 ) )
= ( X1 @ ( X2 @ X3 @ X4 ) @ ( X2 @ X3 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5PTZw1IMin/E---3.1_190361.p',cDISTRIB_THM_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > a,X2: a > a > a] :
( ( ! [X3: a] :
( ( X1 @ X3 @ X3 )
= X3 )
& ! [X3: a] :
( ( X2 @ X3 @ X3 )
= X3 )
& ! [X3: a,X4: a,X5: a] :
( ( X1 @ ( X1 @ X3 @ X4 ) @ X5 )
= ( X1 @ X3 @ ( X1 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ X3 @ ( X2 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
= ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X2 @ X3 @ X4 )
= ( X2 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X1 @ ( X2 @ X3 @ X4 ) @ X4 )
= X4 )
& ! [X3: a,X4: a] :
( ( X2 @ ( X1 @ X3 @ X4 ) @ X4 )
= X4 ) )
=> ( ! [X3: a,X4: a,X5: a] :
( ( X1 @ X3 @ ( X2 @ X4 @ X5 ) )
= ( X2 @ ( X1 @ X3 @ X4 ) @ ( X1 @ X3 @ X5 ) ) )
<=> ! [X3: a,X4: a,X5: a] :
( ( X2 @ X3 @ ( X1 @ X4 @ X5 ) )
= ( X1 @ ( X2 @ X3 @ X4 ) @ ( X2 @ X3 @ X5 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cDISTRIB_THM_pme]) ).
thf(c_0_2,negated_conjecture,
! [X32: a,X33: a,X34: a,X35: a,X36: a,X37: a,X38: a,X39: a,X40: a,X41: a,X42: a,X43: a,X44: a,X45: a,X46: a,X47: a,X54: a,X55: a,X56: a,X57: a,X58: a,X59: a] :
( ( ( esk1_0 @ X32 @ X32 )
= X32 )
& ( ( esk2_0 @ X33 @ X33 )
= X33 )
& ( ( esk1_0 @ ( esk1_0 @ X34 @ X35 ) @ X36 )
= ( esk1_0 @ X34 @ ( esk1_0 @ X35 @ X36 ) ) )
& ( ( esk2_0 @ ( esk2_0 @ X37 @ X38 ) @ X39 )
= ( esk2_0 @ X37 @ ( esk2_0 @ X38 @ X39 ) ) )
& ( ( esk1_0 @ X40 @ X41 )
= ( esk1_0 @ X41 @ X40 ) )
& ( ( esk2_0 @ X42 @ X43 )
= ( esk2_0 @ X43 @ X42 ) )
& ( ( esk1_0 @ ( esk2_0 @ X44 @ X45 ) @ X45 )
= X45 )
& ( ( esk2_0 @ ( esk1_0 @ X46 @ X47 ) @ X47 )
= X47 )
& ( ( ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ esk5_0 ) )
!= ( esk2_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 @ esk5_0 ) ) )
| ( ( esk2_0 @ esk6_0 @ ( esk1_0 @ esk7_0 @ esk8_0 ) )
!= ( esk1_0 @ ( esk2_0 @ esk6_0 @ esk7_0 ) @ ( esk2_0 @ esk6_0 @ esk8_0 ) ) ) )
& ( ( ( esk1_0 @ X54 @ ( esk2_0 @ X55 @ X56 ) )
= ( esk2_0 @ ( esk1_0 @ X54 @ X55 ) @ ( esk1_0 @ X54 @ X56 ) ) )
| ( ( esk2_0 @ X57 @ ( esk1_0 @ X58 @ X59 ) )
= ( esk1_0 @ ( esk2_0 @ X57 @ X58 ) @ ( esk2_0 @ X57 @ X59 ) ) ) ) ),
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,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ ( esk1_0 @ X3 @ X4 ) @ X5 )
= ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: a] :
( ( esk1_0 @ X3 @ X3 )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: a,X4: a] :
( ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ X4 )
= X4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X4: a,X3: a] :
( ( esk1_0 @ X3 @ X4 )
= ( esk1_0 @ X4 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X3: a,X4: a,X5: a,X8: a,X9: a,X10: a] :
( ( ( esk1_0 @ X3 @ ( esk2_0 @ X4 @ X5 ) )
= ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ ( esk1_0 @ X3 @ X5 ) ) )
| ( ( esk2_0 @ X8 @ ( esk1_0 @ X9 @ X10 ) )
= ( esk1_0 @ ( esk2_0 @ X8 @ X9 ) @ ( esk2_0 @ X8 @ X10 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X3: a,X4: a] :
( ( esk1_0 @ X3 @ ( esk1_0 @ X3 @ X4 ) )
= ( esk1_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_9,negated_conjecture,
! [X4: a,X3: a] :
( ( esk1_0 @ X3 @ ( esk2_0 @ X4 @ X3 ) )
= X3 ),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X3: a,X4: a] :
( ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ X4 )
= X4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X4: a,X3: a] :
( ( esk2_0 @ X3 @ X4 )
= ( esk2_0 @ X4 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
( ( ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ esk5_0 ) )
!= ( esk2_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 @ esk5_0 ) ) )
| ( ( esk2_0 @ esk6_0 @ ( esk1_0 @ esk7_0 @ esk8_0 ) )
!= ( esk1_0 @ ( esk2_0 @ esk6_0 @ esk7_0 ) @ ( esk2_0 @ esk6_0 @ esk8_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X3: a,X4: a,X5: a,X8: a,X9: a,X10: a] :
( ( ( esk1_0 @ X3 @ ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ X5 ) )
= ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ ( esk1_0 @ X3 @ X5 ) ) )
| ( ( esk1_0 @ ( esk2_0 @ X8 @ X9 ) @ ( esk2_0 @ X8 @ X10 ) )
= ( esk2_0 @ X8 @ ( esk1_0 @ X9 @ X10 ) ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_14,negated_conjecture,
! [X3: a,X5: a,X4: a] :
( ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ ( esk2_0 @ X5 @ ( esk1_0 @ X3 @ X4 ) ) ) )
= ( esk1_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_3]) ).
thf(c_0_15,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk2_0 @ ( esk2_0 @ X3 @ X4 ) @ X5 )
= ( esk2_0 @ X3 @ ( esk2_0 @ X4 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_16,negated_conjecture,
! [X3: a] :
( ( esk2_0 @ X3 @ X3 )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
! [X4: a,X3: a] :
( ( esk2_0 @ X3 @ ( esk1_0 @ X4 @ X3 ) )
= X3 ),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_18,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( ( esk1_0 @ X3 @ ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ X5 ) )
= ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ ( esk1_0 @ X3 @ X5 ) ) )
| ( ( esk2_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 @ esk5_0 ) )
!= ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ esk5_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_19,negated_conjecture,
! [X5: a,X4: a,X3: a] :
( ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ ( esk2_0 @ X5 @ ( esk1_0 @ X4 @ X3 ) ) ) )
= ( esk1_0 @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
thf(c_0_20,negated_conjecture,
! [X3: a,X4: a] :
( ( esk2_0 @ X3 @ ( esk2_0 @ X3 @ X4 ) )
= ( esk2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_21,negated_conjecture,
! [X4: a,X3: a] :
( ( esk2_0 @ X3 @ ( esk1_0 @ X3 @ X4 ) )
= X3 ),
inference(spm,[status(thm)],[c_0_17,c_0_6]) ).
thf(c_0_22,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( ( esk1_0 @ X3 @ ( esk2_0 @ ( esk1_0 @ X4 @ X3 ) @ X5 ) )
= ( esk2_0 @ ( esk1_0 @ X4 @ X3 ) @ ( esk1_0 @ X3 @ X5 ) ) )
| ( ( esk2_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 @ esk5_0 ) )
!= ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ esk5_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,negated_conjecture,
! [X4: a,X3: a] :
( ( esk1_0 @ X3 @ ( esk2_0 @ X3 @ X4 ) )
= X3 ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
thf(c_0_24,negated_conjecture,
! [X3: a,X4: a,X5: a,X8: a,X9: a,X10: a] :
( ( ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ ( esk2_0 @ X3 @ X5 ) )
= ( esk2_0 @ X3 @ ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ X5 ) ) )
| ( ( esk2_0 @ ( esk1_0 @ X8 @ X9 ) @ ( esk1_0 @ X8 @ X10 ) )
= ( esk1_0 @ X8 @ ( esk2_0 @ X9 @ X10 ) ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk2_0 @ X3 @ ( esk2_0 @ X4 @ X5 ) )
= ( esk2_0 @ X4 @ ( esk2_0 @ X3 @ X5 ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_15]) ).
thf(c_0_26,negated_conjecture,
! [X3: a,X5: a,X4: a] :
( ( esk2_0 @ X3 @ ( esk2_0 @ X4 @ ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ X5 ) ) )
= ( esk2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
thf(c_0_27,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ ( esk2_0 @ X3 @ X5 ) )
= ( esk2_0 @ X3 @ ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ X5 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
thf(c_0_28,negated_conjecture,
! [X5: a,X4: a,X3: a] :
( ( esk2_0 @ X3 @ ( esk2_0 @ X4 @ ( esk1_0 @ ( esk2_0 @ X4 @ X3 ) @ X5 ) ) )
= ( esk2_0 @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_29,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ ( esk2_0 @ X4 @ X5 ) )
= ( esk2_0 @ X4 @ ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ X5 ) ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_30,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ X3 @ ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ X5 ) )
= ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ ( esk1_0 @ X3 @ X5 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
thf(c_0_31,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ X3 @ ( esk1_0 @ ( esk2_0 @ X4 @ X3 ) @ X5 ) )
= ( esk1_0 @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_9]) ).
thf(c_0_32,negated_conjecture,
! [X3: a,X5: a,X4: a] :
( ( esk1_0 @ X3 @ ( esk2_0 @ X4 @ ( esk1_0 @ X3 @ X5 ) ) )
= ( esk2_0 @ ( esk1_0 @ X3 @ X5 ) @ ( esk1_0 @ X3 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_30,c_0_11]) ).
thf(c_0_33,negated_conjecture,
! [X3: a,X4: a] :
( ( esk2_0 @ X3 @ ( esk2_0 @ X4 @ X3 ) )
= ( esk2_0 @ X3 @ X4 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_23]),c_0_15]) ).
thf(c_0_34,negated_conjecture,
! [X3: a,X4: a,X5: a,X8: a,X10: a,X9: a] :
( ( ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ ( esk1_0 @ X3 @ X5 ) )
= ( esk1_0 @ X3 @ ( esk2_0 @ X4 @ X5 ) ) )
| ( ( esk2_0 @ ( esk1_0 @ X8 @ X9 ) @ ( esk1_0 @ X8 @ X10 ) )
= ( esk1_0 @ X8 @ ( esk2_0 @ X10 @ X9 ) ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_7]),c_0_32]) ).
thf(c_0_35,negated_conjecture,
! [X4: a,X3: a] :
( ( esk1_0 @ X3 @ X4 )
= ( esk1_0 @ X4 @ X3 ) ),
c_0_6 ).
thf(c_0_36,negated_conjecture,
! [X4: a,X3: a] :
( ( esk2_0 @ X3 @ X4 )
= ( esk2_0 @ X4 @ X3 ) ),
c_0_11 ).
thf(c_0_37,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk1_0 @ ( esk1_0 @ X3 @ X4 ) @ X5 )
= ( esk1_0 @ X3 @ ( esk1_0 @ X4 @ X5 ) ) ),
c_0_3 ).
thf(c_0_38,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk2_0 @ ( esk2_0 @ X3 @ X4 ) @ X5 )
= ( esk2_0 @ X3 @ ( esk2_0 @ X4 @ X5 ) ) ),
c_0_15 ).
thf(c_0_39,negated_conjecture,
! [X5: a,X4: a,X3: a] :
( ( esk2_0 @ X3 @ ( esk1_0 @ X4 @ ( esk1_0 @ X5 @ X3 ) ) )
= X3 ),
inference(spm,[status(thm)],[c_0_17,c_0_3]) ).
thf(c_0_40,negated_conjecture,
! [X3: a,X4: a] :
( ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ ( esk2_0 @ X4 @ X3 ) )
= ( esk2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_33]) ).
thf(c_0_41,negated_conjecture,
( ( ( esk2_0 @ ( esk1_0 @ esk3_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 @ esk5_0 ) )
!= ( esk1_0 @ esk3_0 @ ( esk2_0 @ esk4_0 @ esk5_0 ) ) )
| ( ( esk2_0 @ esk6_0 @ ( esk1_0 @ esk8_0 @ ( esk2_0 @ esk6_0 @ esk7_0 ) ) )
!= ( esk2_0 @ esk6_0 @ ( esk1_0 @ esk7_0 @ esk8_0 ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_27]),c_0_6]) ).
thf(c_0_42,negated_conjecture,
! [X3: a,X5: a,X4: a] :
( ( esk2_0 @ ( esk1_0 @ X3 @ X4 ) @ ( esk1_0 @ X3 @ X5 ) )
= ( esk1_0 @ X3 @ ( esk2_0 @ X5 @ X4 ) ) ),
inference(ar,[status(thm)],[inference(ef,[status(thm)],[c_0_34]),c_0_35,c_0_36,c_0_37,c_0_38]) ).
thf(c_0_43,negated_conjecture,
! [X3: a,X5: a,X4: a] :
( ( esk2_0 @ X3 @ ( esk2_0 @ X4 @ ( esk1_0 @ X5 @ ( esk2_0 @ X4 @ X3 ) ) ) )
= ( esk2_0 @ X3 @ X4 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_15]) ).
thf(c_0_44,negated_conjecture,
( ( esk2_0 @ esk6_0 @ ( esk1_0 @ esk8_0 @ ( esk2_0 @ esk6_0 @ esk7_0 ) ) )
!= ( esk2_0 @ esk6_0 @ ( esk1_0 @ esk7_0 @ esk8_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_11])]) ).
thf(c_0_45,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk2_0 @ X3 @ ( esk1_0 @ X4 @ ( esk2_0 @ X3 @ X5 ) ) )
= ( esk2_0 @ X3 @ ( esk1_0 @ X4 @ X5 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_15]),c_0_30]),c_0_42]),c_0_15]),c_0_16]) ).
thf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV001^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n011.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 14:57:46 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 0.10/0.26 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.5PTZw1IMin/E---3.1_190361.p
% 229.85/29.42 % Version: 3.5.1-ho
% 229.85/29.42 % Preprocessing class: HSSSSMSSSSSNSSA.
% 229.85/29.42 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 229.85/29.42 % Starting post_as_ho12 with 300s (1) cores
% 229.85/29.42 % Starting new_bool_9 with 300s (1) cores
% 229.85/29.42 % Starting post_as_ho1 with 300s (1) cores
% 229.85/29.42 % Starting post_as_ho4 with 300s (1) cores
% 229.85/29.42 % Starting post_as_ho2 with 300s (1) cores
% 229.85/29.42 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 229.85/29.42 % Starting full_lambda_10 with 300s (1) cores
% 229.85/29.42 % Starting new_ho_8 with 300s (1) cores
% 229.85/29.42 % post_as_ho1 with pid 190376 completed with status 0
% 229.85/29.42 % Result found by post_as_ho1
% 229.85/29.42 % Preprocessing class: HSSSSMSSSSSNSSA.
% 229.85/29.42 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 229.85/29.42 % Starting post_as_ho12 with 300s (1) cores
% 229.85/29.42 % Starting new_bool_9 with 300s (1) cores
% 229.85/29.42 % Starting post_as_ho1 with 300s (1) cores
% 229.85/29.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 229.85/29.42 % No SInE strategy applied
% 229.85/29.42 % Search class: HGHPM-FFSF00-SSSFFFNN
% 229.85/29.42 % partial match(2): HGHNF-FFSF00-SSSFFFNN
% 229.85/29.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 229.85/29.42 % Starting SubtermCWHack with 28s (1) cores
% 229.85/29.42 % SubtermCWHack with pid 190384 completed with status 8
% 229.85/29.42 % Starting post_as_ho1 with 31s (1) cores
% 229.85/29.42 % post_as_ho1 with pid 190439 completed with status 0
% 229.85/29.42 % Result found by post_as_ho1
% 229.85/29.42 % Preprocessing class: HSSSSMSSSSSNSSA.
% 229.85/29.42 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 229.85/29.42 % Starting post_as_ho12 with 300s (1) cores
% 229.85/29.42 % Starting new_bool_9 with 300s (1) cores
% 229.85/29.42 % Starting post_as_ho1 with 300s (1) cores
% 229.85/29.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 229.85/29.42 % No SInE strategy applied
% 229.85/29.42 % Search class: HGHPM-FFSF00-SSSFFFNN
% 229.85/29.42 % partial match(2): HGHNF-FFSF00-SSSFFFNN
% 229.85/29.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 229.85/29.42 % Starting SubtermCWHack with 28s (1) cores
% 229.85/29.42 % SubtermCWHack with pid 190384 completed with status 8
% 229.85/29.42 % Starting post_as_ho1 with 31s (1) cores
% 229.85/29.42 % Preprocessing time : 0.001 s
% 229.85/29.42 % Presaturation interreduction done
% 229.85/29.42
% 229.85/29.42 % Proof found!
% 229.85/29.42 % SZS status Theorem
% 229.85/29.42 % SZS output start CNFRefutation
% See solution above
% 229.85/29.42 % Parsed axioms : 2
% 229.85/29.42 % Removed by relevancy pruning/SinE : 0
% 229.85/29.42 % Initial clauses : 11
% 229.85/29.42 % Removed in clause preprocessing : 1
% 229.85/29.42 % Initial clauses in saturation : 10
% 229.85/29.42 % Processed clauses : 1405
% 229.85/29.42 % ...of these trivial : 497
% 229.85/29.42 % ...subsumed : 716
% 229.85/29.42 % ...remaining for further processing : 192
% 229.85/29.42 % Other redundant clauses eliminated : 0
% 229.85/29.42 % Clauses deleted for lack of memory : 0
% 229.85/29.42 % Backward-subsumed : 17
% 229.85/29.42 % Backward-rewritten : 75
% 229.85/29.42 % Generated clauses : 44546
% 229.85/29.42 % ...of the previous two non-redundant : 34189
% 229.85/29.42 % ...aggressively subsumed : 0
% 229.85/29.42 % Contextual simplify-reflections : 1
% 229.85/29.42 % Paramodulations : 44538
% 229.85/29.42 % Factorizations : 8
% 229.85/29.42 % NegExts : 0
% 229.85/29.42 % Equation resolutions : 0
% 229.85/29.42 % Disequality decompositions : 0
% 229.85/29.42 % Total rewrite steps : 64207
% 229.85/29.42 % ...of those cached : 54635
% 229.85/29.42 % Propositional unsat checks : 0
% 229.85/29.42 % Propositional check models : 0
% 229.85/29.42 % Propositional check unsatisfiable : 0
% 229.85/29.42 % Propositional clauses : 0
% 229.85/29.42 % Propositional clauses after purity: 0
% 229.85/29.42 % Propositional unsat core size : 0
% 229.85/29.42 % Propositional preprocessing time : 0.000
% 229.85/29.42 % Propositional encoding time : 0.000
% 229.85/29.42 % Propositional solver time : 0.000
% 229.85/29.42 % Success case prop preproc time : 0.000
% 229.85/29.42 % Success case prop encoding time : 0.000
% 229.85/29.42 % Success case prop solver time : 0.000
% 229.85/29.42 % Current number of processed clauses : 90
% 229.85/29.42 % Positive orientable unit clauses : 65
% 229.85/29.42 % Positive unorientable unit clauses: 9
% 229.85/29.42 % Negative unit clauses : 0
% 229.85/29.42 % Non-unit-clauses : 16
% 229.85/29.42 % Current number of unprocessed clauses: 32711
% 229.85/29.42 % ...number of literals in the above : 66887
% 229.85/29.42 % Current number of archived formulas : 0
% 229.85/29.42 % Current number of archived clauses : 102
% 229.85/29.42 % Clause-clause subsumption calls (NU) : 1106
% 229.85/29.42 % Rec. Clause-clause subsumption calls : 1103
% 229.85/29.42 % Non-unit clause-clause subsumptions : 80
% 229.85/29.42 % Unit Clause-clause subsumption calls : 1616
% 229.85/29.42 % Rewrite failures with RHS unbound : 0
% 229.85/29.42 % BW rewrite match attempts : 853
% 229.85/29.42 % BW rewrite match successes : 358
% 229.85/29.42 % Condensation attempts : 0
% 229.85/29.42 % Condensation successes : 0
% 229.85/29.42 % Termbank termtop insertions : 673313
% 229.85/29.42 % Search garbage collected termcells : 466
% 229.85/29.42
% 229.85/29.42 % -------------------------------------------------
% 229.85/29.42 % User time : 28.096 s
% 229.85/29.42 % System time : 0.887 s
% 229.85/29.42 % Total time : 28.983 s
% 229.85/29.42 % Maximum resident set size: 3636 pages
% 229.85/29.42
% 229.85/29.42 % -------------------------------------------------
% 229.85/29.42 % User time : 28.098 s
% 229.85/29.42 % System time : 0.894 s
% 229.85/29.42 % Total time : 28.991 s
% 229.85/29.42 % Maximum resident set size: 4864 pages
% 229.85/29.42 % E exiting
%------------------------------------------------------------------------------