%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV016^5 : 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 : n014.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 08:35:49 AM UTC 2026
% Result : Theorem 41.24s 6.26s
% Output : CNFRefutation 41.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 1
% Syntax : Number of formulae : 90 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 435 ( 48 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 842 ( 91 ~; 116 |; 16 &; 599 @)
% ( 7 <=>; 9 =>; 0 <=; 4 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 179 ( 27 ^; 137 !; 15 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: ( a > $o ) > $o ).
thf(decl_24,type,
esk1_1: ( a > $o ) > a ).
thf(decl_25,type,
epred2_1: a > a > $o ).
thf(decl_26,type,
esk3_2: ( a > a > $o ) > a > $o ).
thf(decl_27,type,
esk2_1: ( a > a > $o ) > a ).
thf(decl_28,type,
esk4_2: ( a > a > $o ) > a > a ).
thf(decl_42,type,
esk18_1: a > a ).
thf(decl_109,type,
esk85_1: a > a ).
thf(cTHM262_NEW_pme,conjecture,
! [X1: ( a > $o ) > $o] :
( ( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X4: a] :
? [X2: a > $o] :
( ( X1 @ X2 )
& ( X2 @ X4 )
& ! [X5: a > $o] :
( ( ( X1 @ X5 )
& ( X5 @ X4 ) )
=> ( X5 = X2 ) ) ) )
=> ? [X6: a > a > $o] :
( ( ^ [X7: a > $o] :
? [X3: a] :
( X7
= ( ^ [X4: a] : ( X6 @ X4 @ X3 ) ) ) )
= X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.WEwtYwS6Sd/E---3.1_2776961.p',cTHM262_NEW_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( a > $o ) > $o] :
( ( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X4: a] :
? [X2: a > $o] :
( ( X1 @ X2 )
& ( X2 @ X4 )
& ! [X5: a > $o] :
( ( ( X1 @ X5 )
& ( X5 @ X4 ) )
=> ( X5 = X2 ) ) ) )
=> ? [X6: a > a > $o] :
( ( ^ [X7: a > $o] :
? [X3: a] :
( X7
= ( ^ [X4: a] : ( X6 @ X4 @ X3 ) ) ) )
= X1 ) ),
inference(assume_negation,[status(cth)],[cTHM262_NEW_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: ( a > $o ) > $o] :
( ( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X4: a] :
? [X2: a > $o] :
( ( X1 @ X2 )
& ( X2 @ X4 )
& ! [X5: a > $o] :
( ( ( X1 @ X5 )
& ( X5 @ X4 ) )
=> ( X5 = X2 ) ) ) )
=> ? [X6: a > a > $o] :
( ( ^ [Z0: a > $o] :
? [X3: a] :
( Z0
= ( ^ [Z1: a] : ( X6 @ Z1 @ X3 ) ) ) )
= X1 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X16: a > $o,X18: a,X20: a > $o,X21: a > a > $o] :
( ( ~ ( epred1_0 @ X16 )
| ( X16 @ ( esk1_1 @ X16 ) ) )
& ( epred1_0 @ ( epred2_1 @ X18 ) )
& ( epred2_1 @ X18 @ X18 )
& ( ~ ( epred1_0 @ X20 )
| ~ ( X20 @ X18 )
| ( X20
= ( epred2_1 @ X18 ) ) )
& ( ( ^ [Z0: a > $o] :
? [X3: a] :
( Z0
= ( ^ [Z1: a] : ( X21 @ Z1 @ X3 ) ) ) )
!= epred1_0 ) ),
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,
! [X6: a > a > $o] :
( ( ^ [Z0: a > $o] :
? [X736: a] :
( Z0
= ( ^ [Z1: a] : ( X6 @ Z1 @ X736 ) ) ) )
!= epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X6: a > a > $o] :
( ? [X737: a] :
( ( esk3_2 @ X6 )
= ( ^ [Z0: a] : ( X6 @ Z0 @ X737 ) ) )
<~> ( epred1_0 @ ( esk3_2 @ X6 ) ) ),
inference(neg_ext,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( X2
= ( epred2_1 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X6: a > a > $o] :
( ( ( esk3_2 @ X6 )
= ( ^ [Z0: a] : ( X6 @ Z0 @ ( esk2_1 @ X6 ) ) ) )
| ( epred1_0 @ ( esk3_2 @ X6 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X6: a > a > $o,X3: a] :
( ( ( esk3_2 @ X6 )
= ( ^ [Z0: a] : ( X6 @ Z0 @ ( esk2_1 @ X6 ) ) ) )
| ( ( esk3_2 @ X6 )
= ( epred2_1 @ X3 ) )
| ~ ( esk3_2 @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X3: a,X6: a > a > $o] :
( ( ( esk3_2 @ X6 )
!= ( ^ [Z0: a] : ( X6 @ Z0 @ X3 ) ) )
| ~ ( epred1_0 @ ( esk3_2 @ X6 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_10,negated_conjecture,
! [X3: a] : ( epred1_0 @ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_11,negated_conjecture,
! [X43: a,X6: a > a > $o,X3: a] :
( ( ( esk3_2 @ X6 @ X43 )
<=> ( X6 @ X43 @ ( esk2_1 @ X6 ) ) )
| ( ( esk3_2 @ X6 )
= ( epred2_1 @ X3 ) )
| ~ ( esk3_2 @ X6 @ X3 ) ),
inference(arg_cong,[status(thm)],[c_0_8]) ).
thf(c_0_12,negated_conjecture,
! [X6: a > a > $o,X3: a] :
( ( ( esk3_2 @ X6 )
= ( ^ [Z0: a] : ( X6 @ Z0 @ ( esk2_1 @ X6 ) ) ) )
| ( ( esk3_2 @ X6 )
!= ( ^ [Z0: a] : ( X6 @ Z0 @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
thf(c_0_13,negated_conjecture,
! [X3: a,X4: a] :
( ( ( epred2_1 @ X3 )
= ( epred2_1 @ X4 ) )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
thf(c_0_14,negated_conjecture,
! [X6: a > a > $o,X4: a,X3: a] :
( ( ( esk3_2 @ X6 )
= ( epred2_1 @ X3 ) )
| ( esk3_2 @ X6 @ X4 )
| ~ ( X6 @ X4 @ ( esk2_1 @ X6 ) )
| ~ ( esk3_2 @ X6 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_11]) ).
thf(c_0_15,negated_conjecture,
! [X3: a] : ( epred2_1 @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_16,negated_conjecture,
! [X52: a,X6: a > a > $o,X3: a] :
( ( ( esk3_2 @ X6 @ X52 )
<=> ( X6 @ X52 @ ( esk2_1 @ X6 ) ) )
| ( ( esk3_2 @ X6 )
!= ( ^ [Z0: a] : ( X6 @ Z0 @ X3 ) ) ) ),
inference(arg_cong,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
! [X3: a,X28: a,X4: a] :
( ( ( epred2_1 @ X3 @ X28 )
<=> ( epred2_1 @ X4 @ X28 ) )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(arg_cong,[status(thm)],[c_0_13]) ).
thf(c_0_18,negated_conjecture,
! [X2: a > $o] :
( ( X2 @ ( esk1_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_19,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ X3 )
= ( esk3_2 @ epred2_1 ) )
| ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_20,negated_conjecture,
! [X3: a,X4: a,X6: a > a > $o] :
( ( esk3_2 @ X6 @ X3 )
| ( ( esk3_2 @ X6 )
!= ( ^ [Z0: a] : ( X6 @ Z0 @ X4 ) ) )
| ~ ( X6 @ X3 @ ( esk2_1 @ X6 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_16]) ).
thf(c_0_21,negated_conjecture,
! [X10: a,X4: a,X3: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred2_1 @ X10 @ X4 )
| ~ ( epred2_1 @ X10 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_17]) ).
thf(c_0_22,negated_conjecture,
! [X3: a,X4: a,X10: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred2_1 @ X10 @ X4 )
| ~ ( epred2_1 @ X3 @ X10 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_17]) ).
thf(c_0_23,negated_conjecture,
! [X3: a] : ( epred2_1 @ X3 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
thf(c_0_24,negated_conjecture,
! [X78: a,X3: a] :
( ( ( epred2_1 @ X3 @ X78 )
<=> ( esk3_2 @ epred2_1 @ X78 ) )
| ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(arg_cong,[status(thm)],[c_0_19]) ).
thf(c_0_25,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ( ( esk3_2 @ epred2_1 )
!= ( ^ [Z0: a] : ( epred2_1 @ Z0 @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
thf(c_0_26,negated_conjecture,
! [X6: a > a > $o] :
( ( ( esk3_2 @ X6 )
= ( ^ [Z0: a] : ( X6 @ Z0 @ ( esk2_1 @ X6 ) ) ) )
| ( esk3_2 @ X6 @ ( esk1_1 @ ( esk3_2 @ X6 ) ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
thf(c_0_27,negated_conjecture,
! [X2: a > $o,X27: a,X3: a] :
( ( ( X2 @ X27 )
<=> ( epred2_1 @ X3 @ X27 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X3 ) ),
inference(arg_cong,[status(thm)],[c_0_6]) ).
thf(c_0_28,negated_conjecture,
! [X4: a,X3: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred2_1 @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
thf(c_0_29,negated_conjecture,
! [X3: a,X4: a] :
( ( epred2_1 @ X3 @ ( esk1_1 @ ( epred2_1 @ X4 ) ) )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_30,negated_conjecture,
! [X4: a,X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ( esk3_2 @ epred2_1 @ X3 )
| ~ ( esk3_2 @ epred2_1 @ X4 )
| ~ ( epred2_1 @ X4 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_24]) ).
thf(c_0_31,negated_conjecture,
( ( esk3_2 @ epred2_1 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) )
| ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_32,negated_conjecture,
! [X32: a,X6: a > a > $o] :
( ( ( esk3_2 @ X6 @ X32 )
<=> ( X6 @ X32 @ ( esk2_1 @ X6 ) ) )
| ( epred1_0 @ ( esk3_2 @ X6 ) ) ),
inference(arg_cong,[status(thm)],[c_0_7]) ).
thf(c_0_33,negated_conjecture,
! [X2: a > $o,X3: a,X4: a] :
( ( X2 @ X3 )
| ~ ( epred2_1 @ X4 @ X3 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_27]) ).
thf(c_0_34,negated_conjecture,
! [X4: a,X3: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X4 )
| ~ ( epred2_1 @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_35,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ( esk3_2 @ epred2_1 @ X3 )
| ~ ( epred2_1 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_36,negated_conjecture,
! [X3: a,X6: a > a > $o] :
( ( epred1_0 @ ( esk3_2 @ X6 ) )
| ( esk3_2 @ X6 @ X3 )
| ~ ( X6 @ X3 @ ( esk2_1 @ X6 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_32]) ).
thf(c_0_37,negated_conjecture,
! [X4: a,X3: a,X2: a > $o] :
( ( X2 @ X3 )
| ~ ( X2 @ ( esk1_1 @ ( epred2_1 @ X4 ) ) )
| ~ ( epred2_1 @ X3 @ X4 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_38,negated_conjecture,
( ( esk3_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) ) ) )
| ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
thf(c_0_39,negated_conjecture,
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ( epred1_0 @ ( esk3_2 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_15]) ).
thf(c_0_40,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ( ( epred2_1 @ ( esk18_1 @ X3 ) @ X3 )
<~> ( esk3_2 @ epred2_1 @ ( esk18_1 @ X3 ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_25]) ).
thf(c_0_41,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ( esk3_2 @ epred2_1 @ X3 )
| ~ ( epred2_1 @ X3 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
thf(c_0_42,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ( esk3_2 @ epred2_1 @ ( esk18_1 @ X3 ) )
| ( epred2_1 @ ( esk18_1 @ X3 ) @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_40]) ).
thf(c_0_43,negated_conjecture,
! [X4: a,X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ( epred2_1 @ X3 @ X4 )
| ~ ( esk3_2 @ epred2_1 @ X4 )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_24]) ).
thf(c_0_44,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ ( esk18_1 @ X3 ) )
| ~ ( epred2_1 @ ( esk18_1 @ X3 ) @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_40]) ).
thf(c_0_45,negated_conjecture,
( ( esk3_2 @ epred2_1 @ ( esk18_1 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) ) )
| ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
thf(c_0_46,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
= ( epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
thf(c_0_47,negated_conjecture,
! [X2: a > $o,X4: a,X3: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X4 )
| ~ ( X2 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_27]) ).
thf(c_0_48,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ X3 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) )
| ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_31]) ).
thf(c_0_49,negated_conjecture,
( ( esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ) )
| ~ ( epred2_1 @ ( esk18_1 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) ) @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) ) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_50,negated_conjecture,
! [X3: a,X29: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X29 )
<=> ( epred2_1 @ X3 @ X29 ) ),
inference(arg_cong,[status(thm)],[c_0_46]) ).
thf(c_0_51,negated_conjecture,
! [X6: a > a > $o,X4: a,X3: a] :
( ( ( esk3_2 @ X6 )
= ( ^ [Z0: a] : ( X6 @ Z0 @ ( esk2_1 @ X6 ) ) ) )
| ( epred2_1 @ X3 @ X4 )
| ~ ( esk3_2 @ X6 @ X4 )
| ~ ( esk3_2 @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_7]) ).
thf(c_0_52,negated_conjecture,
esk3_2 @ epred2_1 @ ( esk2_1 @ epred2_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_49]) ).
thf(c_0_53,negated_conjecture,
! [X6: a > a > $o,X4: a,X3: a] :
( ( X6 @ X3 @ ( esk2_1 @ X6 ) )
| ( ( esk3_2 @ X6 )
!= ( ^ [Z0: a] : ( X6 @ Z0 @ X4 ) ) )
| ~ ( esk3_2 @ X6 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_16]) ).
thf(c_0_54,negated_conjecture,
! [X3: a,X4: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X4 )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_50]) ).
thf(c_0_55,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ X3 @ ( esk2_1 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
thf(c_0_56,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
| ( epred1_0 @ ( esk3_2 @ epred2_1 ) )
| ~ ( epred2_1 @ X3 @ ( esk2_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_54]) ).
thf(c_0_57,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( X2 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_23]) ).
thf(c_0_58,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk2_1 @ epred2_1 ) @ X3 )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_55]) ).
thf(c_0_59,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_55]),c_0_57]) ).
thf(c_0_60,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( X2 @ X3 )
| ~ ( X2 @ ( esk2_1 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_58]) ).
thf(c_0_61,negated_conjecture,
! [X3: a] : ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) @ X3 ),
inference(spm,[status(thm)],[c_0_28,c_0_23]) ).
thf(c_0_62,plain,
! [X3: a,X6: a > a > $o,X4: a] :
( ( ( esk3_2 @ X6 )
!= ( ^ [Z0: a] : ( X6 @ Z0 @ X3 ) ) )
| ( ( esk3_2 @ X6 )
!= ( epred2_1 @ X4 ) ) ),
inference(ext_sup,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_63,negated_conjecture,
( ( ( ^ [Z0: a] : ( epred2_1 @ Z0 @ ( esk2_1 @ epred2_1 ) ) )
= ( esk3_2 @ epred2_1 ) )
| ( ( epred2_1 @ ( esk2_1 @ epred2_1 ) )
= ( esk3_2 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_52]) ).
thf(c_0_64,negated_conjecture,
! [X3: a,X4: a] :
( ( esk3_2 @ epred2_1 @ X3 )
| ~ ( epred1_0 @ ( esk3_2 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ X4 )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_59]) ).
thf(c_0_65,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_1 @ epred2_1 ) ) ) @ X3 )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_46]),c_0_10])]) ).
thf(c_0_66,negated_conjecture,
( ( esk3_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_1 @ epred2_1 ) ) ) )
| ( epred1_0 @ ( esk3_2 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_56,c_0_15]) ).
thf(c_0_67,plain,
! [X3: a] :
( ( ( epred2_1 @ ( esk2_1 @ epred2_1 ) )
= ( esk3_2 @ epred2_1 ) )
| ( ( epred2_1 @ X3 )
!= ( esk3_2 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
thf(c_0_68,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_1 @ epred2_1 ) ) ) )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
thf(c_0_69,plain,
! [X3: a] :
( ( ( epred2_1 @ ( esk2_1 @ epred2_1 ) )
= ( esk3_2 @ epred2_1 ) )
| ( ( epred2_1 @ X3 @ ( esk85_1 @ X3 ) )
<~> ( esk3_2 @ epred2_1 @ ( esk85_1 @ X3 ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_67]) ).
thf(c_0_70,negated_conjecture,
esk3_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ ( esk2_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_68,c_0_52]) ).
thf(c_0_71,plain,
! [X3: a] :
( ( ( epred2_1 @ ( esk2_1 @ epred2_1 ) )
= ( esk3_2 @ epred2_1 ) )
| ( esk3_2 @ epred2_1 @ ( esk85_1 @ X3 ) )
| ( epred2_1 @ X3 @ ( esk85_1 @ X3 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_69]) ).
thf(c_0_72,plain,
! [X3: a] :
( ( ( epred2_1 @ ( esk2_1 @ epred2_1 ) )
= ( esk3_2 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ ( esk85_1 @ X3 ) )
| ~ ( epred2_1 @ X3 @ ( esk85_1 @ X3 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_69]) ).
thf(c_0_73,negated_conjecture,
! [X3: a,X6: a > a > $o] :
( ( ( esk3_2 @ X6 @ ( esk4_2 @ X6 @ X3 ) )
<~> ( X6 @ ( esk4_2 @ X6 @ X3 ) @ X3 ) )
| ~ ( epred1_0 @ ( esk3_2 @ X6 ) ) ),
inference(neg_ext,[status(thm)],[c_0_9]) ).
thf(c_0_74,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ X3 )
| ~ ( epred2_1 @ X3 @ ( esk2_1 @ epred2_1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_70]),c_0_36]) ).
thf(c_0_75,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ ( esk2_1 @ epred2_1 ) )
= ( esk3_2 @ epred2_1 ) )
| ( esk3_2 @ epred2_1 @ ( esk85_1 @ X3 ) )
| ( epred2_1 @ ( esk85_1 @ X3 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_71]) ).
thf(c_0_76,negated_conjecture,
( ( ( epred2_1 @ ( esk2_1 @ epred2_1 ) )
= ( esk3_2 @ epred2_1 ) )
| ~ ( esk3_2 @ epred2_1 @ ( esk85_1 @ ( esk2_1 @ epred2_1 ) ) ) ),
inference(spm,[status(thm)],[c_0_72,c_0_58]) ).
thf(c_0_77,negated_conjecture,
! [X3: a,X6: a > a > $o] :
( ( esk3_2 @ X6 @ ( esk4_2 @ X6 @ X3 ) )
| ( X6 @ ( esk4_2 @ X6 @ X3 ) @ X3 )
| ~ ( epred1_0 @ ( esk3_2 @ X6 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_73]) ).
thf(c_0_78,negated_conjecture,
( ( epred2_1 @ ( esk2_1 @ epred2_1 ) )
= ( esk3_2 @ epred2_1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
thf(c_0_79,negated_conjecture,
! [X6: a > a > $o,X3: a] :
( ( ( esk3_2 @ X6 )
= ( ^ [Z0: a] : ( X6 @ Z0 @ ( esk2_1 @ X6 ) ) ) )
| ( esk3_2 @ X6 @ ( esk4_2 @ X6 @ X3 ) )
| ( X6 @ ( esk4_2 @ X6 @ X3 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_7]) ).
thf(c_0_80,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
| ~ ( epred2_1 @ ( esk2_1 @ epred2_1 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_34]) ).
thf(c_0_81,negated_conjecture,
epred1_0 @ ( esk3_2 @ epred2_1 ),
inference(spm,[status(thm)],[c_0_10,c_0_78]) ).
thf(c_0_82,negated_conjecture,
! [X3: a] :
( ( ( ^ [Z0: a] : ( epred2_1 @ Z0 @ ( esk2_1 @ epred2_1 ) ) )
= ( esk3_2 @ epred2_1 ) )
| ( esk3_2 @ epred2_1 @ ( esk4_2 @ epred2_1 @ X3 ) )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_79]),c_0_7]) ).
thf(c_0_83,negated_conjecture,
esk3_2 @ epred2_1 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_78]),c_0_15])]) ).
thf(c_0_84,negated_conjecture,
! [X3: a] :
( ( esk3_2 @ epred2_1 )
!= ( ^ [Z0: a] : ( epred2_1 @ Z0 @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_81]) ).
thf(c_0_85,negated_conjecture,
! [X3: a,X6: a > a > $o] :
( ~ ( esk3_2 @ X6 @ ( esk4_2 @ X6 @ X3 ) )
| ~ ( X6 @ ( esk4_2 @ X6 @ X3 ) @ X3 )
| ~ ( epred1_0 @ ( esk3_2 @ X6 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_73]) ).
thf(c_0_86,negated_conjecture,
esk3_2 @ epred2_1 @ ( esk4_2 @ epred2_1 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
thf(c_0_87,negated_conjecture,
~ ( epred2_1 @ ( esk4_2 @ epred2_1 @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) ) @ ( esk1_1 @ ( esk3_2 @ epred2_1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_81])]) ).
thf(c_0_88,negated_conjecture,
! [X4: a,X3: a] :
( ( epred2_1 @ X3 @ X4 )
| ~ ( esk3_2 @ epred2_1 @ X4 )
| ~ ( esk3_2 @ epred2_1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_55]),c_0_10])]) ).
thf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_83]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV016^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n014.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 15:00:30 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.23 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.WEwtYwS6Sd/E---3.1_2776961.p
% 0.07/0.27 % Type mismatch for $true @ Z-2 @ Z-1 and type $o
% 0.07/0.27 eprover: Type error
% 41.24/6.26 % Version: 3.5.1-ho
% 41.24/6.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 41.24/6.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 41.24/6.26 % Starting sh2lt with 1200s (4) cores
% 41.24/6.26 % Starting new_ho_10_unif with 300s (1) cores
% 41.24/6.26 % Starting full_lambda_6 with 300s (1) cores
% 41.24/6.26 % Starting post_as_ho1 with 300s (1) cores
% 41.24/6.26 % Starting ehoh_best3_rw with 300s (1) cores
% 41.24/6.26 % full_lambda_6 with pid 2776986 completed with status 0
% 41.24/6.26 % Result found by full_lambda_6
% 41.24/6.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 41.24/6.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 41.24/6.26 % Starting sh2lt with 1200s (4) cores
% 41.24/6.26 % Starting new_ho_10_unif with 300s (1) cores
% 41.24/6.26 % Starting full_lambda_6 with 300s (1) cores
% 41.24/6.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 41.24/6.26 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 41.24/6.26 % Search class: HHUSS-FFSF11-DHHFFSBN
% 41.24/6.26 % partial match(2): HGUSS-FFSF11-MHHFFSBN
% 41.24/6.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 41.24/6.26 % Starting SubtermCWHack with 28s (1) cores
% 41.24/6.26 % SubtermCWHack with pid 2776990 completed with status 10
% 41.24/6.26 % Starting full_lambda_6 with 31s (1) cores
% 41.24/6.26 % full_lambda_6 with pid 2776998 completed with status 0
% 41.24/6.26 % Result found by full_lambda_6
% 41.24/6.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 41.24/6.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 41.24/6.26 % Starting sh2lt with 1200s (4) cores
% 41.24/6.26 % Starting new_ho_10_unif with 300s (1) cores
% 41.24/6.26 % Starting full_lambda_6 with 300s (1) cores
% 41.24/6.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 41.24/6.26 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 41.24/6.26 % Search class: HHUSS-FFSF11-DHHFFSBN
% 41.24/6.26 % partial match(2): HGUSS-FFSF11-MHHFFSBN
% 41.24/6.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 41.24/6.26 % Starting SubtermCWHack with 28s (1) cores
% 41.24/6.26 % SubtermCWHack with pid 2776990 completed with status 10
% 41.24/6.26 % Starting full_lambda_6 with 31s (1) cores
% 41.24/6.26 % Preprocessing time : 0.001 s
% 41.24/6.26 % Presaturation interreduction done
% 41.24/6.26
% 41.24/6.26 % Proof found!
% 41.24/6.26 % SZS status Theorem
% 41.24/6.26 % SZS output start CNFRefutation
% See solution above
% 41.24/6.26 % Parsed axioms : 2
% 41.24/6.26 % Removed by relevancy pruning/SinE : 1
% 41.24/6.26 % Initial clauses : 5
% 41.24/6.26 % Removed in clause preprocessing : 0
% 41.24/6.26 % Initial clauses in saturation : 5
% 41.24/6.26 % Processed clauses : 14500
% 41.24/6.26 % ...of these trivial : 50
% 41.24/6.26 % ...subsumed : 12840
% 41.24/6.26 % ...remaining for further processing : 1610
% 41.24/6.26 % Other redundant clauses eliminated : 0
% 41.24/6.26 % Clauses deleted for lack of memory : 0
% 41.24/6.26 % Backward-subsumed : 46
% 41.24/6.26 % Backward-rewritten : 268
% 41.24/6.26 % Generated clauses : 79655
% 41.24/6.26 % ...of the previous two non-redundant : 76489
% 41.24/6.26 % ...aggressively subsumed : 0
% 41.24/6.26 % Contextual simplify-reflections : 16
% 41.24/6.26 % Paramodulations : 78725
% 41.24/6.26 % Factorizations : 2
% 41.24/6.26 % NegExts : 230
% 41.24/6.26 % Equation resolutions : 23
% 41.24/6.26 % Disequality decompositions : 0
% 41.24/6.26 % Total rewrite steps : 29556
% 41.24/6.26 % ...of those cached : 29432
% 41.24/6.26 % Propositional unsat checks : 0
% 41.24/6.26 % Propositional check models : 0
% 41.24/6.26 % Propositional check unsatisfiable : 0
% 41.24/6.26 % Propositional clauses : 0
% 41.24/6.26 % Propositional clauses after purity: 0
% 41.24/6.26 % Propositional unsat core size : 0
% 41.24/6.26 % Propositional preprocessing time : 0.000
% 41.24/6.26 % Propositional encoding time : 0.000
% 41.24/6.26 % Propositional solver time : 0.000
% 41.24/6.26 % Success case prop preproc time : 0.000
% 41.24/6.26 % Success case prop encoding time : 0.000
% 41.24/6.26 % Success case prop solver time : 0.000
% 41.24/6.26 % Current number of processed clauses : 1140
% 41.24/6.26 % Positive orientable unit clauses : 14
% 41.24/6.26 % Positive unorientable unit clauses: 0
% 41.24/6.26 % Negative unit clauses : 5
% 41.24/6.26 % Non-unit-clauses : 1121
% 41.24/6.26 % Current number of unprocessed clauses: 61411
% 41.24/6.26 % ...number of literals in the above : 297830
% 41.24/6.26 % Current number of archived formulas : 0
% 41.24/6.26 % Current number of archived clauses : 470
% 41.24/6.26 % Clause-clause subsumption calls (NU) : 2255945
% 41.24/6.26 % Rec. Clause-clause subsumption calls : 1183010
% 41.24/6.26 % Non-unit clause-clause subsumptions : 12889
% 41.24/6.26 % Unit Clause-clause subsumption calls : 4141
% 41.24/6.26 % Rewrite failures with RHS unbound : 0
% 41.24/6.26 % BW rewrite match attempts : 20
% 41.24/6.26 % BW rewrite match successes : 8
% 41.24/6.26 % Condensation attempts : 0
% 41.24/6.26 % Condensation successes : 0
% 41.24/6.26 % Termbank termtop insertions : 5596864
% 41.24/6.26 % Search garbage collected termcells : 210
% 41.24/6.26
% 41.24/6.26 % -------------------------------------------------
% 41.24/6.26 % User time : 5.860 s
% 41.24/6.26 % System time : 0.092 s
% 41.24/6.26 % Total time : 5.951 s
% 41.24/6.26 % Maximum resident set size: 3636 pages
% 41.24/6.26
% 41.24/6.26 % -------------------------------------------------
% 41.24/6.26 % User time : 5.862 s
% 41.24/6.26 % System time : 0.096 s
% 41.24/6.26 % Total time : 5.958 s
% 41.24/6.26 % Maximum resident set size: 4608 pages
% 41.24/6.26 % E exiting
%------------------------------------------------------------------------------