%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP004^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:03:57 AM UTC 2026
% Result : Theorem 0.11s 0.27s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 7 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 633 ( 15 ~; 13 |; 6 &; 595 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 12 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 0 ^; 51 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
d: $tType ).
thf(decl_sort2,type,
u: $tType ).
thf(decl_sort3,type,
du: $tType ).
thf(decl_23,type,
tyop_2Emin_2Ebool: d ).
thf(decl_24,type,
tyop_2Emin_2Efun: d > d > d ).
thf(decl_25,type,
s: d > u > du ).
thf(decl_41,type,
c_2Epred__set_2ECHOICE_2E1: du > u ).
thf(decl_43,type,
c_2Epred__set_2EDELETE_2E2: du > du > u ).
thf(decl_46,type,
c_2Ebool_2EIN_2E2: du > du > u ).
thf(decl_48,type,
c_2Epred__set_2EREST_2E1: du > u ).
thf(decl_50,type,
c_2Epred__set_2ESUBSET_2E2: du > du > u ).
thf(decl_67,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(decl_70,type,
esk1_0: d ).
thf(decl_71,type,
esk2_0: u ).
thf(decl_73,type,
esk4_3: d > u > u > u ).
thf(thm_2Epred__set_2EIN__DELETE,axiom,
! [X1: d,X22: u,X13: u,X24: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) @ ( s @ X1 @ X24 ) ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) ) )
& ( ( s @ X1 @ X13 )
!= ( s @ X1 @ X24 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtHRPeqqBF/E---3.1_513500.p',thm_2Epred__set_2EIN__DELETE) ).
thf(thm_2Epred__set_2EREST__DEF,axiom,
! [X1: d,X22: u] :
( ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) @ ( s @ X1 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtHRPeqqBF/E---3.1_513500.p',thm_2Epred__set_2EREST__DEF) ).
thf(thm_2Epred__set_2ESUBSET__DEF,axiom,
! [X1: d,X22: u,X23: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X23 ) ) ) )
<=> ! [X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X23 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtHRPeqqBF/E---3.1_513500.p',thm_2Epred__set_2ESUBSET__DEF) ).
thf(thm_2Epred__set_2EREST__SUBSET,conjecture,
! [X1: d,X22: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtHRPeqqBF/E---3.1_513500.p',thm_2Epred__set_2EREST__SUBSET) ).
thf(c_0_4,plain,
! [X1: d,X22: u,X13: u,X24: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) @ ( s @ X1 @ X24 ) ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) ) )
& ( ( s @ X1 @ X13 )
!= ( s @ X1 @ X24 ) ) ) ),
inference(fof_simplification,[status(thm)],[thm_2Epred__set_2EIN__DELETE]) ).
thf(c_0_5,plain,
! [X80: d,X81: u,X82: u,X83: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X80 @ X82 ) @ ( s @ ( tyop_2Emin_2Efun @ X80 @ tyop_2Emin_2Ebool ) @ X81 ) ) ) )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X80 @ X82 ) @ ( s @ ( tyop_2Emin_2Efun @ X80 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X80 @ tyop_2Emin_2Ebool ) @ X81 ) @ ( s @ X80 @ X83 ) ) ) ) ) ) )
& ( ( ( s @ X80 @ X82 )
!= ( s @ X80 @ X83 ) )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X80 @ X82 ) @ ( s @ ( tyop_2Emin_2Efun @ X80 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X80 @ tyop_2Emin_2Ebool ) @ X81 ) @ ( s @ X80 @ X83 ) ) ) ) ) ) )
& ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X80 @ X82 ) @ ( s @ ( tyop_2Emin_2Efun @ X80 @ tyop_2Emin_2Ebool ) @ X81 ) ) ) )
| ( ( s @ X80 @ X82 )
= ( s @ X80 @ X83 ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X80 @ X82 ) @ ( s @ ( tyop_2Emin_2Efun @ X80 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X80 @ tyop_2Emin_2Ebool ) @ X81 ) @ ( s @ X80 @ X83 ) ) ) ) ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
thf(c_0_6,plain,
! [X75: d,X76: u] :
( ( s @ ( tyop_2Emin_2Efun @ X75 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X75 @ tyop_2Emin_2Ebool ) @ X76 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X75 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X75 @ tyop_2Emin_2Ebool ) @ X76 ) @ ( s @ X75 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X75 @ tyop_2Emin_2Ebool ) @ X76 ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[thm_2Epred__set_2EREST__DEF]) ).
thf(c_0_7,plain,
! [X1: d,X3: u,X4: u,X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X4 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X1: d,X3: u] :
( ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X1 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
! [X65: d,X66: u,X67: u,X68: u,X69: d,X70: u,X71: u] :
( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X65 @ tyop_2Emin_2Ebool ) @ X66 ) @ ( s @ ( tyop_2Emin_2Efun @ X65 @ tyop_2Emin_2Ebool ) @ X67 ) ) ) )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X65 @ X68 ) @ ( s @ ( tyop_2Emin_2Efun @ X65 @ tyop_2Emin_2Ebool ) @ X66 ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X65 @ X68 ) @ ( s @ ( tyop_2Emin_2Efun @ X65 @ tyop_2Emin_2Ebool ) @ X67 ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X69 @ ( esk4_3 @ X69 @ X70 @ X71 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X69 @ tyop_2Emin_2Ebool ) @ X70 ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X69 @ tyop_2Emin_2Ebool ) @ X70 ) @ ( s @ ( tyop_2Emin_2Efun @ X69 @ tyop_2Emin_2Ebool ) @ X71 ) ) ) ) )
& ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X69 @ ( esk4_3 @ X69 @ X70 @ X71 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X69 @ tyop_2Emin_2Ebool ) @ X71 ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X69 @ tyop_2Emin_2Ebool ) @ X70 ) @ ( s @ ( tyop_2Emin_2Efun @ X69 @ tyop_2Emin_2Ebool ) @ X71 ) ) ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Epred__set_2ESUBSET__DEF])])])])])])]) ).
thf(c_0_10,negated_conjecture,
~ ! [X1: d,X22: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X22 ) ) ) ),
inference(assume_negation,[status(cth)],[thm_2Epred__set_2EREST__SUBSET]) ).
thf(c_0_11,plain,
! [X1: d,X3: u,X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) ) ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_12,plain,
! [X1: d,X3: u,X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ ( esk4_3 @ X1 @ X3 @ X4 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,negated_conjecture,
~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk2_0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk2_0 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
thf(c_0_14,plain,
! [X1: d,X3: u,X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ ( esk4_3 @ X1 @ X3 @ X4 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
! [X1: d,X4: u,X3: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ ( esk4_3 @ X1 @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) @ X4 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,negated_conjecture,
~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk2_0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk2_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
! [X1: d,X3: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP004^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n018.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 19:22:41 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.11/0.24 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.wtHRPeqqBF/E---3.1_513500.p
% 0.11/0.27 % Version: 3.5.1-ho
% 0.11/0.27 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.11/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.27 % Starting additional_ho_4 with 1500s (5) cores
% 0.11/0.27 % Starting pre_casc_8 with 300s (1) cores
% 0.11/0.27 % Starting pre_casc_5 with 300s (1) cores
% 0.11/0.27 % Starting pre_casc_6 with 300s (1) cores
% 0.11/0.27 % pre_casc_6 with pid 513516 completed with status 0
% 0.11/0.27 % Result found by pre_casc_6
% 0.11/0.27 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.11/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.27 % Starting additional_ho_4 with 1500s (5) cores
% 0.11/0.27 % Starting pre_casc_8 with 300s (1) cores
% 0.11/0.27 % Starting pre_casc_5 with 300s (1) cores
% 0.11/0.27 % Starting pre_casc_6 with 300s (1) cores
% 0.11/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.11/0.27 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.11/0.27 % Search class: HGHSM-FFMF32-DSFFFFNN
% 0.11/0.27 % partial match(3): FGHSM-FFMF32-SFFFFFNN
% 0.11/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.27 % SubtermCWHack with pid 513518 completed with status 0
% 0.11/0.27 % Result found by SubtermCWHack
% 0.11/0.27 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.11/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.27 % Starting additional_ho_4 with 1500s (5) cores
% 0.11/0.27 % Starting pre_casc_8 with 300s (1) cores
% 0.11/0.27 % Starting pre_casc_5 with 300s (1) cores
% 0.11/0.27 % Starting pre_casc_6 with 300s (1) cores
% 0.11/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.11/0.27 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.11/0.27 % Search class: HGHSM-FFMF32-DSFFFFNN
% 0.11/0.27 % partial match(3): FGHSM-FFMF32-SFFFFFNN
% 0.11/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.27 % Preprocessing time : 0.002 s
% 0.11/0.27
% 0.11/0.27 % Proof found!
% 0.11/0.27 % SZS status Theorem
% 0.11/0.27 % SZS output start CNFRefutation
% See solution above
% 0.11/0.27 % Parsed axioms : 83
% 0.11/0.27 % Removed by relevancy pruning/SinE : 73
% 0.11/0.27 % Initial clauses : 16
% 0.11/0.27 % Removed in clause preprocessing : 0
% 0.11/0.27 % Initial clauses in saturation : 16
% 0.11/0.27 % Processed clauses : 31
% 0.11/0.27 % ...of these trivial : 0
% 0.11/0.27 % ...subsumed : 13
% 0.11/0.27 % ...remaining for further processing : 18
% 0.11/0.27 % Other redundant clauses eliminated : 0
% 0.11/0.27 % Clauses deleted for lack of memory : 0
% 0.11/0.27 % Backward-subsumed : 0
% 0.11/0.27 % Backward-rewritten : 1
% 0.11/0.27 % Generated clauses : 139
% 0.11/0.27 % ...of the previous two non-redundant : 100
% 0.11/0.27 % ...aggressively subsumed : 0
% 0.11/0.27 % Contextual simplify-reflections : 0
% 0.11/0.27 % Paramodulations : 139
% 0.11/0.27 % Factorizations : 0
% 0.11/0.27 % NegExts : 0
% 0.11/0.27 % Equation resolutions : 0
% 0.11/0.27 % Disequality decompositions : 0
% 0.11/0.27 % Total rewrite steps : 28
% 0.11/0.27 % ...of those cached : 9
% 0.11/0.27 % Propositional unsat checks : 0
% 0.11/0.27 % Propositional check models : 0
% 0.11/0.27 % Propositional check unsatisfiable : 0
% 0.11/0.27 % Propositional clauses : 0
% 0.11/0.27 % Propositional clauses after purity: 0
% 0.11/0.27 % Propositional unsat core size : 0
% 0.11/0.27 % Propositional preprocessing time : 0.000
% 0.11/0.27 % Propositional encoding time : 0.000
% 0.11/0.27 % Propositional solver time : 0.000
% 0.11/0.27 % Success case prop preproc time : 0.000
% 0.11/0.27 % Success case prop encoding time : 0.000
% 0.11/0.27 % Success case prop solver time : 0.000
% 0.11/0.27 % Current number of processed clauses : 17
% 0.11/0.27 % Positive orientable unit clauses : 6
% 0.11/0.27 % Positive unorientable unit clauses: 0
% 0.11/0.27 % Negative unit clauses : 1
% 0.11/0.27 % Non-unit-clauses : 10
% 0.11/0.27 % Current number of unprocessed clauses: 85
% 0.11/0.27 % ...number of literals in the above : 193
% 0.11/0.27 % Current number of archived formulas : 0
% 0.11/0.27 % Current number of archived clauses : 1
% 0.11/0.27 % Clause-clause subsumption calls (NU) : 31
% 0.11/0.27 % Rec. Clause-clause subsumption calls : 30
% 0.11/0.27 % Non-unit clause-clause subsumptions : 13
% 0.11/0.27 % Unit Clause-clause subsumption calls : 5
% 0.11/0.27 % Rewrite failures with RHS unbound : 0
% 0.11/0.27 % BW rewrite match attempts : 8
% 0.11/0.27 % BW rewrite match successes : 1
% 0.11/0.27 % Condensation attempts : 0
% 0.11/0.27 % Condensation successes : 0
% 0.11/0.27 % Termbank termtop insertions : 8015
% 0.11/0.27 % Search garbage collected termcells : 622
% 0.11/0.27
% 0.11/0.27 % -------------------------------------------------
% 0.11/0.27 % User time : 0.010 s
% 0.11/0.27 % System time : 0.003 s
% 0.11/0.27 % Total time : 0.013 s
% 0.11/0.27 % Maximum resident set size: 3724 pages
% 0.11/0.27
% 0.11/0.27 % -------------------------------------------------
% 0.11/0.27 % User time : 0.013 s
% 0.11/0.27 % System time : 0.007 s
% 0.11/0.27 % Total time : 0.021 s
% 0.11/0.27 % Maximum resident set size: 4864 pages
% 0.11/0.27 % E exiting
%------------------------------------------------------------------------------