%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV011^5 : 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 : n012.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 08:34:43 AM UTC 2026
% Result : Theorem 196.13s 28.58s
% Output : CNFRefutation 196.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 1
% Syntax : Number of formulae : 67 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 305 ( 11 equ; 0 cnn)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 1025 ( 112 ~; 163 |; 26 &; 705 @)
% ( 4 <=>; 12 =>; 0 <=; 3 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 89 ( 0 ^; 87 !; 2 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > a > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(decl_25,type,
esk2_1: ( a > $o ) > a ).
thf(decl_26,type,
esk3_1: ( a > $o ) > a ).
thf(decl_27,type,
epred2_1: ( a > $o ) > a > $o ).
thf(decl_30,type,
esk6_1: ( a > $o ) > a ).
thf(decl_36,type,
esk12_0: a ).
thf(decl_455,type,
esk431_0: a ).
thf(cTHM260_B_pme,conjecture,
! [X1: a > a > $o] :
( ( ! [X2: a] : ( X1 @ X2 @ X2 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a,X4: a] :
( ( ( X1 @ X2 @ X3 )
& ( X1 @ X3 @ X4 ) )
=> ( X1 @ X2 @ X4 ) ) )
=> ! [X2: a] :
? [X5: a > $o] :
( ! [X6: a] :
( ( X5 @ X6 )
=> ! [X3: a] :
( ( X5 @ X3 )
<=> ( X1 @ X6 @ X3 ) ) )
& ( X5 @ X2 )
& ! [X7: a > $o] :
( ( ! [X6: a] :
( ( X7 @ X6 )
=> ! [X3: a] :
( ( X7 @ X3 )
<=> ( X1 @ X6 @ X3 ) ) )
& ( X7 @ X2 ) )
=> ( X7 = X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kAQFyg3FU3/E---3.1_218169.p',cTHM260_B_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o] :
( ( ! [X2: a] : ( X1 @ X2 @ X2 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a,X4: a] :
( ( ( X1 @ X2 @ X3 )
& ( X1 @ X3 @ X4 ) )
=> ( X1 @ X2 @ X4 ) ) )
=> ! [X2: a] :
? [X5: a > $o] :
( ! [X6: a] :
( ( X5 @ X6 )
=> ! [X3: a] :
( ( X5 @ X3 )
<=> ( X1 @ X6 @ X3 ) ) )
& ( X5 @ X2 )
& ! [X7: a > $o] :
( ( ! [X6: a] :
( ( X7 @ X6 )
=> ! [X3: a] :
( ( X7 @ X3 )
<=> ( X1 @ X6 @ X3 ) ) )
& ( X7 @ X2 ) )
=> ( X7 = X5 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM260_B_pme]) ).
thf(c_0_2,negated_conjecture,
! [X23: a,X24: a,X25: a,X26: a,X27: a,X28: a,X30: a > $o,X34: a,X35: a] :
( ( epred1_0 @ X23 @ X23 )
& ( ~ ( epred1_0 @ X24 @ X25 )
| ( epred1_0 @ X25 @ X24 ) )
& ( ~ ( epred1_0 @ X26 @ X27 )
| ~ ( epred1_0 @ X27 @ X28 )
| ( epred1_0 @ X26 @ X28 ) )
& ( ~ ( epred2_1 @ X30 @ X35 )
| ( epred1_0 @ X34 @ X35 )
| ~ ( epred2_1 @ X30 @ X34 )
| ( X30 @ ( esk2_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X34 @ X35 )
| ( epred2_1 @ X30 @ X35 )
| ~ ( epred2_1 @ X30 @ X34 )
| ( X30 @ ( esk2_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ( epred2_1 @ X30 @ esk1_0 )
| ( X30 @ ( esk2_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ( ( epred2_1 @ X30 )
!= X30 )
| ( X30 @ ( esk2_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ~ ( epred2_1 @ X30 @ X35 )
| ( epred1_0 @ X34 @ X35 )
| ~ ( epred2_1 @ X30 @ X34 )
| ~ ( X30 @ ( esk3_1 @ X30 ) )
| ~ ( epred1_0 @ ( esk2_1 @ X30 ) @ ( esk3_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X34 @ X35 )
| ( epred2_1 @ X30 @ X35 )
| ~ ( epred2_1 @ X30 @ X34 )
| ~ ( X30 @ ( esk3_1 @ X30 ) )
| ~ ( epred1_0 @ ( esk2_1 @ X30 ) @ ( esk3_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ( epred2_1 @ X30 @ esk1_0 )
| ~ ( X30 @ ( esk3_1 @ X30 ) )
| ~ ( epred1_0 @ ( esk2_1 @ X30 ) @ ( esk3_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ( ( epred2_1 @ X30 )
!= X30 )
| ~ ( X30 @ ( esk3_1 @ X30 ) )
| ~ ( epred1_0 @ ( esk2_1 @ X30 ) @ ( esk3_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ~ ( epred2_1 @ X30 @ X35 )
| ( epred1_0 @ X34 @ X35 )
| ~ ( epred2_1 @ X30 @ X34 )
| ( X30 @ ( esk3_1 @ X30 ) )
| ( epred1_0 @ ( esk2_1 @ X30 ) @ ( esk3_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X34 @ X35 )
| ( epred2_1 @ X30 @ X35 )
| ~ ( epred2_1 @ X30 @ X34 )
| ( X30 @ ( esk3_1 @ X30 ) )
| ( epred1_0 @ ( esk2_1 @ X30 ) @ ( esk3_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ( epred2_1 @ X30 @ esk1_0 )
| ( X30 @ ( esk3_1 @ X30 ) )
| ( epred1_0 @ ( esk2_1 @ X30 ) @ ( esk3_1 @ X30 ) )
| ~ ( X30 @ esk1_0 ) )
& ( ( ( epred2_1 @ X30 )
!= X30 )
| ( X30 @ ( esk3_1 @ X30 ) )
| ( epred1_0 @ ( esk2_1 @ X30 ) @ ( esk3_1 @ X30 ) )
| ~ ( X30 @ 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 > $o] :
( ( epred2_1 @ X5 @ esk1_0 )
| ( X5 @ ( esk2_1 @ X5 ) )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X2: a] : ( epred1_0 @ X2 @ X2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X2: a,X3: a] :
( ( epred1_0 @ X3 @ X2 )
| ~ ( epred1_0 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
( ( epred1_0 @ esk1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X5: a > $o] :
( ( epred2_1 @ X5 @ esk1_0 )
| ( X5 @ ( esk3_1 @ X5 ) )
| ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X2: a,X3: a,X4: a] :
( ( epred1_0 @ X2 @ X4 )
| ~ ( epred1_0 @ X2 @ X3 )
| ~ ( epred1_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ esk1_0 )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_10,negated_conjecture,
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
thf(c_0_11,negated_conjecture,
! [X2: a] :
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 )
| ( epred1_0 @ X2 @ esk1_0 )
| ~ ( epred1_0 @ X2 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,negated_conjecture,
( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ X2 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 )
| ~ ( epred1_0 @ X2 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
thf(c_0_14,negated_conjecture,
( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) @ esk1_0 )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_5]) ).
thf(c_0_15,negated_conjecture,
( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_16,negated_conjecture,
! [X5: a > $o] :
( ( epred2_1 @ X5 @ esk1_0 )
| ~ ( X5 @ ( esk3_1 @ X5 ) )
| ~ ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_15]) ).
thf(c_0_18,negated_conjecture,
( ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_14]) ).
thf(c_0_19,negated_conjecture,
! [X2: a,X3: a,X5: a > $o] :
( ( epred2_1 @ X5 @ X3 )
| ( X5 @ ( esk2_1 @ X5 ) )
| ~ ( epred1_0 @ X2 @ X3 )
| ~ ( epred2_1 @ X5 @ X2 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_20,negated_conjecture,
epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk1_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_4])]),c_0_18]) ).
thf(c_0_21,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ esk1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_4])]) ).
thf(c_0_22,negated_conjecture,
! [X5: a > $o] :
( ( X5 @ ( esk2_1 @ X5 ) )
| ( ( epred2_1 @ X5 )
!= X5 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_23,negated_conjecture,
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( ( epred2_1 @ ( epred1_0 @ esk1_0 ) )
!= ( epred1_0 @ esk1_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_4])]) ).
thf(c_0_24,negated_conjecture,
! [X2: a,X3: a,X5: a > $o] :
( ( epred1_0 @ X3 @ X2 )
| ( X5 @ ( esk2_1 @ X5 ) )
| ~ ( epred2_1 @ X5 @ X2 )
| ~ ( epred2_1 @ X5 @ X3 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_25,negated_conjecture,
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk12_0 )
<~> ( epred1_0 @ esk1_0 @ esk12_0 ) ) ),
inference(neg_ext,[status(thm)],[c_0_23]) ).
thf(c_0_26,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ esk1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ X2 )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_4])]) ).
thf(c_0_27,negated_conjecture,
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk12_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_25]),c_0_26]) ).
thf(c_0_28,negated_conjecture,
! [X5: a > $o] :
( ( X5 @ ( esk3_1 @ X5 ) )
| ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ( ( epred2_1 @ X5 )
!= X5 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_29,negated_conjecture,
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_25]),c_0_21]),c_0_27]) ).
thf(c_0_30,negated_conjecture,
! [X5: a > $o] :
( ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ( X5 @ ( esk3_1 @ X5 ) )
| ( ( epred2_1 @ X5 @ ( esk6_1 @ X5 ) )
<~> ( X5 @ ( esk6_1 @ X5 ) ) )
| ~ ( X5 @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_28]) ).
thf(c_0_31,negated_conjecture,
! [X2: a,X3: a,X5: a > $o] :
( ( epred2_1 @ X5 @ X3 )
| ( X5 @ ( esk3_1 @ X5 ) )
| ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ~ ( epred1_0 @ X2 @ X3 )
| ~ ( epred2_1 @ X5 @ X2 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_32,negated_conjecture,
epred1_0 @ esk1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
thf(c_0_33,negated_conjecture,
! [X5: a > $o] :
( ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ( epred2_1 @ X5 @ ( esk6_1 @ X5 ) )
| ( X5 @ ( esk3_1 @ X5 ) )
| ( X5 @ ( esk6_1 @ X5 ) )
| ~ ( X5 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_30]) ).
thf(c_0_34,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_4])]) ).
thf(c_0_35,negated_conjecture,
epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ esk1_0,
inference(spm,[status(thm)],[c_0_5,c_0_32]) ).
thf(c_0_36,negated_conjecture,
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ ( esk6_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_4]),c_0_34]) ).
thf(c_0_37,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ X2 @ esk1_0 )
| ~ ( epred1_0 @ X2 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_35]) ).
thf(c_0_38,negated_conjecture,
( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ ( esk6_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_5,c_0_36]) ).
thf(c_0_39,negated_conjecture,
! [X2: a,X3: a,X5: a > $o] :
( ( epred1_0 @ X3 @ X2 )
| ( X5 @ ( esk3_1 @ X5 ) )
| ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ~ ( epred2_1 @ X5 @ X2 )
| ~ ( epred2_1 @ X5 @ X3 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_40,negated_conjecture,
! [X5: a > $o] :
( ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ( X5 @ ( esk3_1 @ X5 ) )
| ~ ( epred2_1 @ X5 @ ( esk6_1 @ X5 ) )
| ~ ( X5 @ ( esk6_1 @ X5 ) )
| ~ ( X5 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_30]) ).
thf(c_0_41,negated_conjecture,
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ ( esk6_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_5]) ).
thf(c_0_42,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ X2 )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_20]),c_0_4])]) ).
thf(c_0_43,negated_conjecture,
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ~ ( epred1_0 @ esk1_0 @ ( esk6_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_4])]),c_0_5]) ).
thf(c_0_44,negated_conjecture,
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_5]),c_0_43]) ).
thf(c_0_45,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ X2 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ~ ( epred1_0 @ X2 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_32]) ).
thf(c_0_46,negated_conjecture,
( ( epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) )
| ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_5,c_0_44]) ).
thf(c_0_47,negated_conjecture,
! [X5: a > $o] :
( ( ( epred2_1 @ X5 )
!= X5 )
| ~ ( X5 @ ( esk3_1 @ X5 ) )
| ~ ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_48,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ ( esk2_1 @ ( epred1_0 @ esk1_0 ) ) @ X2 )
| ~ ( epred1_0 @ X2 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_45]) ).
thf(c_0_49,negated_conjecture,
epred1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) @ esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_46]),c_0_5]) ).
thf(c_0_50,negated_conjecture,
! [X2: a,X3: a,X5: a > $o] :
( ( epred1_0 @ X3 @ X2 )
| ~ ( epred2_1 @ X5 @ X2 )
| ~ ( epred2_1 @ X5 @ X3 )
| ~ ( X5 @ ( esk3_1 @ X5 ) )
| ~ ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_51,negated_conjecture,
( ( ( epred2_1 @ ( epred1_0 @ esk1_0 ) )
!= ( epred1_0 @ esk1_0 ) )
| ~ ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_4])]),c_0_5]) ).
thf(c_0_52,negated_conjecture,
epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_49]) ).
thf(c_0_53,negated_conjecture,
! [X2: a,X3: a] :
( ( epred1_0 @ X2 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X3 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_4])]),c_0_5]) ).
thf(c_0_54,negated_conjecture,
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) )
!= ( epred1_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).
thf(c_0_55,negated_conjecture,
! [X2: a,X3: a] :
( ( epred1_0 @ X2 @ X3 )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_52])]) ).
thf(c_0_56,negated_conjecture,
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk431_0 )
<~> ( epred1_0 @ esk1_0 @ esk431_0 ) ),
inference(neg_ext,[status(thm)],[c_0_54]) ).
thf(c_0_57,negated_conjecture,
! [X2: a,X3: a,X5: a > $o] :
( ( epred2_1 @ X5 @ X3 )
| ~ ( epred1_0 @ X2 @ X3 )
| ~ ( epred2_1 @ X5 @ X2 )
| ~ ( X5 @ ( esk3_1 @ X5 ) )
| ~ ( epred1_0 @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_58,negated_conjecture,
! [X2: a] :
( ( epred1_0 @ esk1_0 @ X2 )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_20]) ).
thf(c_0_59,negated_conjecture,
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk431_0 )
| ( epred1_0 @ esk1_0 @ esk431_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_56]) ).
thf(c_0_60,negated_conjecture,
! [X3: a,X2: a] :
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 )
| ~ ( epred1_0 @ esk1_0 @ ( esk3_1 @ ( epred1_0 @ esk1_0 ) ) )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X3 )
| ~ ( epred1_0 @ X3 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_4])]),c_0_5]) ).
thf(c_0_61,negated_conjecture,
( ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk431_0 )
| ~ ( epred1_0 @ esk1_0 @ esk431_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_56]) ).
thf(c_0_62,negated_conjecture,
epred1_0 @ esk1_0 @ esk431_0,
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_63,negated_conjecture,
! [X3: a,X2: a] :
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 )
| ~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X3 )
| ~ ( epred1_0 @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_52])]) ).
thf(c_0_64,negated_conjecture,
~ ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ esk431_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
thf(c_0_65,negated_conjecture,
! [X2: a] :
( ( epred2_1 @ ( epred1_0 @ esk1_0 ) @ X2 )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_20]) ).
thf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV011^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.09 % Computer : n012.cluster.edu
% 0.00/0.09 % Model : x86_64 x86_64
% 0.00/0.09 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.09 % Memory : 8046.5625MB
% 0.00/0.09 % OS : Linux 6.8.0-71-generic
% 0.00/0.09 % CPULimit : 300
% 0.00/0.09 % WCLimit : 300
% 0.00/0.09 % DateTime : Tue Sep 29 14:59:33 UTC 2026
% 0.00/0.09 % CPUTime :
% 0.00/0.09 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.12 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.kAQFyg3FU3/E---3.1_218169.p
% 196.13/28.58 % Version: 3.5.1-ho
% 196.13/28.58 % Preprocessing class: HSSSSMSSSSSNSSA.
% 196.13/28.58 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 196.13/28.58 % Starting post_as_ho12 with 300s (1) cores
% 196.13/28.58 % Starting new_bool_9 with 300s (1) cores
% 196.13/28.58 % Starting post_as_ho1 with 300s (1) cores
% 196.13/28.58 % Starting post_as_ho4 with 300s (1) cores
% 196.13/28.58 % Starting post_as_ho2 with 300s (1) cores
% 196.13/28.58 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 196.13/28.58 % Starting full_lambda_10 with 300s (1) cores
% 196.13/28.58 % Starting new_ho_8 with 300s (1) cores
% 196.13/28.58 % post_as_ho1 with pid 218184 completed with status 0
% 196.13/28.58 % Result found by post_as_ho1
% 196.13/28.58 % Preprocessing class: HSSSSMSSSSSNSSA.
% 196.13/28.58 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 196.13/28.58 % Starting post_as_ho12 with 300s (1) cores
% 196.13/28.58 % Starting new_bool_9 with 300s (1) cores
% 196.13/28.58 % Starting post_as_ho1 with 300s (1) cores
% 196.13/28.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 196.13/28.58 % No SInE strategy applied
% 196.13/28.58 % Search class: HGHSF-FFSF11-SSSFFMBN
% 196.13/28.58 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 196.13/28.58 % Starting SubtermCWHack with 28s (1) cores
% 196.13/28.58 % SubtermCWHack with pid 218192 completed with status 8
% 196.13/28.58 % Starting post_as_ho1 with 31s (1) cores
% 196.13/28.58 % post_as_ho1 with pid 219093 completed with status 0
% 196.13/28.58 % Result found by post_as_ho1
% 196.13/28.58 % Preprocessing class: HSSSSMSSSSSNSSA.
% 196.13/28.58 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 196.13/28.58 % Starting post_as_ho12 with 300s (1) cores
% 196.13/28.58 % Starting new_bool_9 with 300s (1) cores
% 196.13/28.58 % Starting post_as_ho1 with 300s (1) cores
% 196.13/28.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 196.13/28.58 % No SInE strategy applied
% 196.13/28.58 % Search class: HGHSF-FFSF11-SSSFFMBN
% 196.13/28.58 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 196.13/28.58 % Starting SubtermCWHack with 28s (1) cores
% 196.13/28.58 % SubtermCWHack with pid 218192 completed with status 8
% 196.13/28.58 % Starting post_as_ho1 with 31s (1) cores
% 196.13/28.58 % Preprocessing time : 0.001 s
% 196.13/28.58 % Presaturation interreduction done
% 196.13/28.58
% 196.13/28.58 % Proof found!
% 196.13/28.58 % SZS status Theorem
% 196.13/28.58 % SZS output start CNFRefutation
% See solution above
% 196.13/28.58 % Parsed axioms : 2
% 196.13/28.58 % Removed by relevancy pruning/SinE : 0
% 196.13/28.58 % Initial clauses : 16
% 196.13/28.58 % Removed in clause preprocessing : 1
% 196.13/28.58 % Initial clauses in saturation : 15
% 196.13/28.58 % Processed clauses : 2130
% 196.13/28.58 % ...of these trivial : 37
% 196.13/28.58 % ...subsumed : 890
% 196.13/28.58 % ...remaining for further processing : 1203
% 196.13/28.58 % Other redundant clauses eliminated : 24
% 196.13/28.58 % Clauses deleted for lack of memory : 0
% 196.13/28.58 % Backward-subsumed : 144
% 196.13/28.58 % Backward-rewritten : 118
% 196.13/28.58 % Generated clauses : 7669
% 196.13/28.58 % ...of the previous two non-redundant : 6656
% 196.13/28.58 % ...aggressively subsumed : 0
% 196.13/28.58 % Contextual simplify-reflections : 99
% 196.13/28.58 % Paramodulations : 6678
% 196.13/28.58 % Factorizations : 0
% 196.13/28.58 % NegExts : 445
% 196.13/28.58 % Equation resolutions : 24
% 196.13/28.58 % Disequality decompositions : 0
% 196.13/28.58 % Total rewrite steps : 3307
% 196.13/28.58 % ...of those cached : 3265
% 196.13/28.58 % Propositional unsat checks : 0
% 196.13/28.58 % Propositional check models : 0
% 196.13/28.58 % Propositional check unsatisfiable : 0
% 196.13/28.58 % Propositional clauses : 0
% 196.13/28.58 % Propositional clauses after purity: 0
% 196.13/28.58 % Propositional unsat core size : 0
% 196.13/28.58 % Propositional preprocessing time : 0.000
% 196.13/28.58 % Propositional encoding time : 0.000
% 196.13/28.58 % Propositional solver time : 0.000
% 196.13/28.58 % Success case prop preproc time : 0.000
% 196.13/28.58 % Success case prop encoding time : 0.000
% 196.13/28.58 % Success case prop solver time : 0.000
% 196.13/28.58 % Current number of processed clauses : 689
% 196.13/28.58 % Positive orientable unit clauses : 33
% 196.13/28.58 % Positive unorientable unit clauses: 0
% 196.13/28.58 % Negative unit clauses : 5
% 196.13/28.58 % Non-unit-clauses : 651
% 196.13/28.58 % Current number of unprocessed clauses: 4290
% 196.13/28.58 % ...number of literals in the above : 25802
% 196.13/28.58 % Current number of archived formulas : 0
% 196.13/28.58 % Current number of archived clauses : 514
% 196.13/28.58 % Clause-clause subsumption calls (NU) : 206299
% 196.13/28.58 % Rec. Clause-clause subsumption calls : 26133
% 196.13/28.58 % Non-unit clause-clause subsumptions : 1117
% 196.13/28.58 % Unit Clause-clause subsumption calls : 9834
% 196.13/28.58 % Rewrite failures with RHS unbound : 0
% 196.13/28.58 % BW rewrite match attempts : 21
% 196.13/28.58 % BW rewrite match successes : 10
% 196.13/28.58 % Condensation attempts : 0
% 196.13/28.58 % Condensation successes : 0
% 196.13/28.58 % Termbank termtop insertions : 365954
% 196.13/28.58 % Search garbage collected termcells : 479
% 196.13/28.58
% 196.13/28.58 % -------------------------------------------------
% 196.13/28.58 % User time : 27.974 s
% 196.13/28.58 % System time : 0.413 s
% 196.13/28.58 % Total time : 28.387 s
% 196.13/28.58 % Maximum resident set size: 3636 pages
% 196.13/28.58
% 196.13/28.58 % -------------------------------------------------
% 196.13/28.58 % User time : 27.975 s
% 196.13/28.58 % System time : 0.417 s
% 196.13/28.58 % Total time : 28.392 s
% 196.13/28.58 % Maximum resident set size: 4864 pages
% 196.13/28.58 % E exiting
%------------------------------------------------------------------------------