TSTP Solution File: ITP004^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP004^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:15:11 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 34 ( 10 unt; 15 typ; 0 def)
% Number of atoms : 41 ( 7 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 631 ( 14 ~; 12 |; 6 &; 595 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 12 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 52 ( 0 ^ 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
d: $tType ).
thf(decl_sort2,type,
u: $tType ).
thf(decl_sort3,type,
du: $tType ).
thf(decl_22,type,
tyop_2Emin_2Ebool: d ).
thf(decl_23,type,
tyop_2Emin_2Efun: d > d > d ).
thf(decl_24,type,
s: d > u > du ).
thf(decl_40,type,
c_2Epred__set_2ECHOICE_2E1: du > u ).
thf(decl_42,type,
c_2Epred__set_2EDELETE_2E2: du > du > u ).
thf(decl_45,type,
c_2Ebool_2EIN_2E2: du > du > u ).
thf(decl_47,type,
c_2Epred__set_2EREST_2E1: du > u ).
thf(decl_49,type,
c_2Epred__set_2ESUBSET_2E2: du > du > u ).
thf(decl_66,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(decl_69,type,
esk1_0: d ).
thf(decl_70,type,
esk2_0: u ).
thf(decl_72,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/benchmark/theBenchmark.p',thm_2Epred__set_2EIN__DELETE) ).
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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__SUBSET) ).
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/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__DEF) ).
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,
! [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_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,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_6]) ).
thf(c_0_9,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_10,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_6]) ).
thf(c_0_11,plain,
! [X1: d,X5: u,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_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X1 @ X4 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ ( esk4_3 @ X1 @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X1 @ X4 ) ) @ X5 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_12,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_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_9])])])]) ).
thf(c_0_14,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_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X1 @ X4 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_15,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_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
% 0.12/0.14 % Problem : ITP004^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 17:15:22 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.50 Running higher-order theorem proving
% 0.20/0.50 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/benchmark/theBenchmark.p
% 0.20/0.53 # Version: 3.1.0-ho
% 0.20/0.53 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting additional_ho_4 with 1500s (5) cores
% 0.20/0.53 # Starting pre_casc_8 with 300s (1) cores
% 0.20/0.53 # Starting pre_casc_5 with 300s (1) cores
% 0.20/0.53 # Starting pre_casc_6 with 300s (1) cores
% 0.20/0.53 # pre_casc_6 with pid 17280 completed with status 0
% 0.20/0.53 # Result found by pre_casc_6
% 0.20/0.53 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting additional_ho_4 with 1500s (5) cores
% 0.20/0.53 # Starting pre_casc_8 with 300s (1) cores
% 0.20/0.53 # Starting pre_casc_5 with 300s (1) cores
% 0.20/0.53 # Starting pre_casc_6 with 300s (1) cores
% 0.20/0.53 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.20/0.53 # Search class: HGHSM-FFMF32-DSFFFFNN
% 0.20/0.53 # partial match(3): FGHSM-FFMF32-SFFFFFNN
% 0.20/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 163s (1) cores
% 0.20/0.53 # G-E--_300_C01_F1_SE_CS_SP_S0Y with pid 17282 completed with status 0
% 0.20/0.53 # Result found by G-E--_300_C01_F1_SE_CS_SP_S0Y
% 0.20/0.53 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting additional_ho_4 with 1500s (5) cores
% 0.20/0.53 # Starting pre_casc_8 with 300s (1) cores
% 0.20/0.53 # Starting pre_casc_5 with 300s (1) cores
% 0.20/0.53 # Starting pre_casc_6 with 300s (1) cores
% 0.20/0.53 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.20/0.53 # Search class: HGHSM-FFMF32-DSFFFFNN
% 0.20/0.53 # partial match(3): FGHSM-FFMF32-SFFFFFNN
% 0.20/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 163s (1) cores
% 0.20/0.53 # Preprocessing time : 0.002 s
% 0.20/0.53
% 0.20/0.53 # Proof found!
% 0.20/0.53 # SZS status Theorem
% 0.20/0.53 # SZS output start CNFRefutation
% See solution above
% 0.20/0.53 # Parsed axioms : 83
% 0.20/0.53 # Removed by relevancy pruning/SinE : 73
% 0.20/0.53 # Initial clauses : 16
% 0.20/0.53 # Removed in clause preprocessing : 0
% 0.20/0.53 # Initial clauses in saturation : 16
% 0.20/0.53 # Processed clauses : 22
% 0.20/0.53 # ...of these trivial : 0
% 0.20/0.53 # ...subsumed : 2
% 0.20/0.53 # ...remaining for further processing : 20
% 0.20/0.53 # Other redundant clauses eliminated : 0
% 0.20/0.53 # Clauses deleted for lack of memory : 0
% 0.20/0.53 # Backward-subsumed : 0
% 0.20/0.53 # Backward-rewritten : 1
% 0.20/0.53 # Generated clauses : 170
% 0.20/0.53 # ...of the previous two non-redundant : 117
% 0.20/0.53 # ...aggressively subsumed : 0
% 0.20/0.53 # Contextual simplify-reflections : 0
% 0.20/0.53 # Paramodulations : 170
% 0.20/0.53 # Factorizations : 0
% 0.20/0.53 # NegExts : 0
% 0.20/0.53 # Equation resolutions : 0
% 0.20/0.53 # Disequality decompositions : 0
% 0.20/0.53 # Total rewrite steps : 44
% 0.20/0.53 # ...of those cached : 18
% 0.20/0.53 # Propositional unsat checks : 0
% 0.20/0.53 # Propositional check models : 0
% 0.20/0.53 # Propositional check unsatisfiable : 0
% 0.20/0.53 # Propositional clauses : 0
% 0.20/0.53 # Propositional clauses after purity: 0
% 0.20/0.53 # Propositional unsat core size : 0
% 0.20/0.53 # Propositional preprocessing time : 0.000
% 0.20/0.53 # Propositional encoding time : 0.000
% 0.20/0.53 # Propositional solver time : 0.000
% 0.20/0.53 # Success case prop preproc time : 0.000
% 0.20/0.53 # Success case prop encoding time : 0.000
% 0.20/0.53 # Success case prop solver time : 0.000
% 0.20/0.53 # Current number of processed clauses : 19
% 0.20/0.53 # Positive orientable unit clauses : 7
% 0.20/0.53 # Positive unorientable unit clauses: 0
% 0.20/0.53 # Negative unit clauses : 1
% 0.20/0.53 # Non-unit-clauses : 11
% 0.20/0.53 # Current number of unprocessed clauses: 111
% 0.20/0.53 # ...number of literals in the above : 245
% 0.20/0.53 # Current number of archived formulas : 0
% 0.20/0.53 # Current number of archived clauses : 1
% 0.20/0.53 # Clause-clause subsumption calls (NU) : 14
% 0.20/0.53 # Rec. Clause-clause subsumption calls : 13
% 0.20/0.53 # Non-unit clause-clause subsumptions : 2
% 0.20/0.53 # Unit Clause-clause subsumption calls : 8
% 0.20/0.53 # Rewrite failures with RHS unbound : 0
% 0.20/0.53 # BW rewrite match attempts : 16
% 0.20/0.53 # BW rewrite match successes : 1
% 0.20/0.53 # Condensation attempts : 0
% 0.20/0.53 # Condensation successes : 0
% 0.20/0.53 # Termbank termtop insertions : 9080
% 0.20/0.53 # Search garbage collected termcells : 622
% 0.20/0.53
% 0.20/0.53 # -------------------------------------------------
% 0.20/0.53 # User time : 0.009 s
% 0.20/0.53 # System time : 0.005 s
% 0.20/0.53 # Total time : 0.014 s
% 0.20/0.53 # Maximum resident set size: 2020 pages
% 0.20/0.53
% 0.20/0.53 # -------------------------------------------------
% 0.20/0.53 # User time : 0.011 s
% 0.20/0.53 # System time : 0.007 s
% 0.20/0.53 # Total time : 0.019 s
% 0.20/0.53 # Maximum resident set size: 1808 pages
% 0.20/0.53 % E---3.1 exiting
% 0.20/0.53 % E exiting
%------------------------------------------------------------------------------