%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM765^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 08:17:03 AM UTC 2026
% Result : Theorem 1.33s 0.54s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 61 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 331 ( 25 equ; 0 cnn)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1605 ( 94 ~; 75 |; 11 &;1366 @)
% ( 0 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 8 con; 0-3 aty)
% Number of variables : 135 ( 84 ^; 51 !; 0 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
is_of: $i > ( $i > $o ) > $o ).
thf(decl_24,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(decl_26,type,
in: $i > $i > $o ).
thf(decl_62,type,
imp: $o > $o > $o ).
thf(decl_63,type,
d_not: $o > $o ).
thf(decl_68,type,
l_or: $o > $o > $o ).
thf(decl_78,type,
e_is: $i > $i > $i > $o ).
thf(decl_124,type,
nat: $i ).
thf(decl_125,type,
n_is: $i > $i > $o ).
thf(decl_128,type,
n_some: ( $i > $o ) > $o ).
thf(decl_148,type,
diffprop: $i > $i > $i > $o ).
thf(decl_149,type,
d_29_ii: $i > $i > $o ).
thf(decl_163,type,
n_ts: $i > $i > $i ).
thf(decl_190,type,
frac: $i ).
thf(decl_192,type,
num: $i > $i ).
thf(decl_193,type,
den: $i > $i ).
thf(decl_194,type,
n_eq: $i > $i > $o ).
thf(decl_195,type,
moref: $i > $i > $o ).
thf(decl_197,type,
moreq: $i > $i > $o ).
thf(decl_199,type,
n_pf: $i > $i > $i ).
thf(decl_200,type,
esk1_0: $i ).
thf(decl_201,type,
esk2_0: $i ).
thf(decl_202,type,
esk3_0: $i ).
thf(decl_203,type,
esk4_0: $i ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_d_not) ).
thf(def_imp,axiom,
( imp
= ( ^ [X74: $o,X75: $o] :
( X74
=> X75 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_imp) ).
thf(def_moref,axiom,
( moref
= ( ^ [X1: $i,X449: $i] : ( d_29_ii @ ( n_ts @ ( num @ X1 ) @ ( den @ X449 ) ) @ ( n_ts @ ( num @ X449 ) @ ( den @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_moref) ).
thf(def_d_29_ii,axiom,
( d_29_ii
= ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_d_29_ii) ).
thf(def_n_eq,axiom,
( n_eq
= ( ^ [X1: $i,X436: $i] : ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X436 ) ) @ ( n_ts @ ( num @ X436 ) @ ( den @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_n_eq) ).
thf(def_l_or,axiom,
( l_or
= ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_l_or) ).
thf(def_moreq,axiom,
( moreq
= ( ^ [X1: $i,X465: $i] : ( l_or @ ( moref @ X1 @ X465 ) @ ( n_eq @ X1 @ X465 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_moreq) ).
thf(def_n_is,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_n_is) ).
thf(def_all_of,axiom,
( all_of
= ( ^ [X3: $i > $o,X2: $i > $o] :
! [X4: $i] :
( ( is_of @ X4 @ X3 )
=> ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_all_of) ).
thf(def_is_of,axiom,
( is_of
= ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',def_is_of) ).
thf(satz66,conjecture,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X566: $i] : ( in @ X566 @ frac )
@ ^ [X567: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ frac )
@ ^ [X13: $i] :
( ( moreq @ X1 @ X567 )
=> ( ( moreq @ X4 @ X13 )
=> ( moreq @ ( n_pf @ X1 @ X4 ) @ ( n_pf @ X567 @ X13 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',satz66) ).
thf(satz56,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X508: $i] : ( in @ X508 @ frac )
@ ^ [X509: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ frac )
@ ^ [X13: $i] :
( ( n_eq @ X1 @ X509 )
=> ( ( n_eq @ X4 @ X13 )
=> ( n_eq @ ( n_pf @ X1 @ X4 ) @ ( n_pf @ X509 @ X13 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',satz56) ).
thf(satz65a,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X558: $i] : ( in @ X558 @ frac )
@ ^ [X559: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ frac )
@ ^ [X13: $i] :
( ( moreq @ X1 @ X559 )
=> ( ( moref @ X4 @ X13 )
=> ( moref @ ( n_pf @ X1 @ X4 ) @ ( n_pf @ X559 @ X13 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',satz65a) ).
thf(satz65b,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X560: $i] : ( in @ X560 @ frac )
@ ^ [X561: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ frac )
@ ^ [X13: $i] :
( ( moref @ X1 @ X561 )
=> ( ( moreq @ X4 @ X13 )
=> ( moref @ ( n_pf @ X1 @ X4 ) @ ( n_pf @ X561 @ X13 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3xt88XcFtv/E---3.1_2605332.p',satz65b) ).
thf(c_0_14,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_not]) ).
thf(c_0_15,plain,
( imp
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_imp]) ).
thf(c_0_16,plain,
( moref
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[def_moref]) ).
thf(c_0_17,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ Z0 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).
thf(c_0_18,plain,
( n_eq
= ( ^ [Z0: $i,Z1: $i] : ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[def_n_eq]) ).
thf(c_0_19,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_l_or]) ).
thf(c_0_20,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_21,plain,
( moreq
= ( ^ [Z0: $i,Z1: $i] :
( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) )
=> ~ $true )
=> ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[def_moreq]) ).
thf(c_0_22,plain,
( moref
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_23,plain,
( n_eq
= ( ^ [Z0: $i,Z1: $i] : ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_18,def_n_is]) ).
thf(c_0_24,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19,c_0_15]),c_0_20]) ).
thf(c_0_25,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_all_of]) ).
thf(c_0_26,plain,
( is_of
= ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[def_is_of]) ).
thf(c_0_27,negated_conjecture,
~ ( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X566: $i] : ( in @ X566 @ frac )
@ ^ [X567: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ frac )
@ ^ [X13: $i] :
( ( moreq @ X1 @ X567 )
=> ( ( moreq @ X4 @ X13 )
=> ( moreq @ ( n_pf @ X1 @ X4 ) @ ( n_pf @ X567 @ X13 ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[satz66]) ).
thf(c_0_28,plain,
( moreq
= ( ^ [Z0: $i,Z1: $i] :
( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) )
=> ~ $true )
=> ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).
thf(c_0_29,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_30,negated_conjecture,
~ ! [X608: $i] :
( ( in @ X608 @ frac )
=> ! [X607: $i] :
( ( in @ X607 @ frac )
=> ! [X606: $i] :
( ( in @ X606 @ frac )
=> ! [X605: $i] :
( ( in @ X605 @ frac )
=> ( ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X608 ) @ ( den @ X607 ) ) @ ( n_ts @ ( num @ X607 ) @ ( den @ X608 ) ) ) )
=> ~ $true )
=> ( e_is @ nat @ ( n_ts @ ( num @ X608 ) @ ( den @ X607 ) ) @ ( n_ts @ ( num @ X607 ) @ ( den @ X608 ) ) ) )
=> ( ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X606 ) @ ( den @ X605 ) ) @ ( n_ts @ ( num @ X605 ) @ ( den @ X606 ) ) ) )
=> ~ $true )
=> ( e_is @ nat @ ( n_ts @ ( num @ X606 ) @ ( den @ X605 ) ) @ ( n_ts @ ( num @ X605 ) @ ( den @ X606 ) ) ) )
=> ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X608 @ X606 ) ) @ ( den @ ( n_pf @ X607 @ X605 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X607 @ X605 ) ) @ ( den @ ( n_pf @ X608 @ X606 ) ) ) ) )
=> ~ $true )
=> ( e_is @ nat @ ( n_ts @ ( num @ ( n_pf @ X608 @ X606 ) ) @ ( den @ ( n_pf @ X607 @ X605 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X607 @ X605 ) ) @ ( den @ ( n_pf @ X608 @ X606 ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_27]),c_0_28]),c_0_29]) ).
thf(c_0_31,plain,
! [X649: $i] :
( ( in @ X649 @ frac )
=> ! [X648: $i] :
( ( in @ X648 @ frac )
=> ! [X647: $i] :
( ( in @ X647 @ frac )
=> ! [X646: $i] :
( ( in @ X646 @ frac )
=> ( ( e_is @ nat @ ( n_ts @ ( num @ X649 ) @ ( den @ X648 ) ) @ ( n_ts @ ( num @ X648 ) @ ( den @ X649 ) ) )
=> ( ( e_is @ nat @ ( n_ts @ ( num @ X647 ) @ ( den @ X646 ) ) @ ( n_ts @ ( num @ X646 ) @ ( den @ X647 ) ) )
=> ( e_is @ nat @ ( n_ts @ ( num @ ( n_pf @ X649 @ X647 ) ) @ ( den @ ( n_pf @ X648 @ X646 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X648 @ X646 ) ) @ ( den @ ( n_pf @ X649 @ X647 ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz56]),c_0_23]),c_0_29]) ).
thf(c_0_32,negated_conjecture,
( ( in @ esk1_0 @ frac )
& ( in @ esk2_0 @ frac )
& ( in @ esk3_0 @ frac )
& ( in @ esk4_0 @ frac )
& ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
| ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
& ( $true
| ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
& ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) )
| ( e_is @ nat @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) )
& ( $true
| ( e_is @ nat @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) )
& ( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ esk1_0 @ esk3_0 ) ) @ ( den @ ( n_pf @ esk2_0 @ esk4_0 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ esk2_0 @ esk4_0 ) ) @ ( den @ ( n_pf @ esk1_0 @ esk3_0 ) ) ) ) )
| ~ $true )
& ~ ( e_is @ nat @ ( n_ts @ ( num @ ( n_pf @ esk1_0 @ esk3_0 ) ) @ ( den @ ( n_pf @ esk2_0 @ esk4_0 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ esk2_0 @ esk4_0 ) ) @ ( den @ ( n_pf @ esk1_0 @ esk3_0 ) ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).
thf(c_0_33,plain,
! [X634: $i] :
( ( in @ X634 @ frac )
=> ! [X633: $i] :
( ( in @ X633 @ frac )
=> ! [X632: $i] :
( ( in @ X632 @ frac )
=> ! [X631: $i] :
( ( in @ X631 @ frac )
=> ( ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X634 ) @ ( den @ X633 ) ) @ ( n_ts @ ( num @ X633 ) @ ( den @ X634 ) ) ) )
=> ~ $true )
=> ( e_is @ nat @ ( n_ts @ ( num @ X634 ) @ ( den @ X633 ) ) @ ( n_ts @ ( num @ X633 ) @ ( den @ X634 ) ) ) )
=> ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X632 ) @ ( den @ X631 ) ) @ ( n_ts @ ( num @ X631 ) @ ( den @ X632 ) ) ) )
=> ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X634 @ X632 ) ) @ ( den @ ( n_pf @ X633 @ X631 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X633 @ X631 ) ) @ ( den @ ( n_pf @ X634 @ X632 ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz65a]),c_0_22]),c_0_28]),c_0_29]) ).
thf(c_0_34,plain,
! [X1146: $i,X1147: $i,X1148: $i,X1149: $i] :
( ~ ( in @ X1146 @ frac )
| ~ ( in @ X1147 @ frac )
| ~ ( in @ X1148 @ frac )
| ~ ( in @ X1149 @ frac )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ X1146 ) @ ( den @ X1147 ) ) @ ( n_ts @ ( num @ X1147 ) @ ( den @ X1146 ) ) )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ X1148 ) @ ( den @ X1149 ) ) @ ( n_ts @ ( num @ X1149 ) @ ( den @ X1148 ) ) )
| ( e_is @ nat @ ( n_ts @ ( num @ ( n_pf @ X1146 @ X1148 ) ) @ ( den @ ( n_pf @ X1147 @ X1149 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X1147 @ X1149 ) ) @ ( den @ ( n_pf @ X1146 @ X1148 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
thf(c_0_35,negated_conjecture,
( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ esk1_0 @ esk3_0 ) ) @ ( den @ ( n_pf @ esk2_0 @ esk4_0 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ esk2_0 @ esk4_0 ) ) @ ( den @ ( n_pf @ esk1_0 @ esk3_0 ) ) ) ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_36,plain,
! [X1123: $i,X1124: $i,X1125: $i,X1126: $i] :
( ( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1123 ) @ ( den @ X1124 ) ) @ ( n_ts @ ( num @ X1124 ) @ ( den @ X1123 ) ) ) )
| ~ $true
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1125 ) @ ( den @ X1126 ) ) @ ( n_ts @ ( num @ X1126 ) @ ( den @ X1125 ) ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X1123 @ X1125 ) ) @ ( den @ ( n_pf @ X1124 @ X1126 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X1124 @ X1126 ) ) @ ( den @ ( n_pf @ X1123 @ X1125 ) ) ) ) )
| ~ ( in @ X1126 @ frac )
| ~ ( in @ X1125 @ frac )
| ~ ( in @ X1124 @ frac )
| ~ ( in @ X1123 @ frac ) )
& ( ~ ( e_is @ nat @ ( n_ts @ ( num @ X1123 ) @ ( den @ X1124 ) ) @ ( n_ts @ ( num @ X1124 ) @ ( den @ X1123 ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1125 ) @ ( den @ X1126 ) ) @ ( n_ts @ ( num @ X1126 ) @ ( den @ X1125 ) ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X1123 @ X1125 ) ) @ ( den @ ( n_pf @ X1124 @ X1126 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X1124 @ X1126 ) ) @ ( den @ ( n_pf @ X1123 @ X1125 ) ) ) ) )
| ~ ( in @ X1126 @ frac )
| ~ ( in @ X1125 @ frac )
| ~ ( in @ X1124 @ frac )
| ~ ( in @ X1123 @ frac ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).
thf(c_0_37,plain,
! [X638: $i] :
( ( in @ X638 @ frac )
=> ! [X637: $i] :
( ( in @ X637 @ frac )
=> ! [X636: $i] :
( ( in @ X636 @ frac )
=> ! [X635: $i] :
( ( in @ X635 @ frac )
=> ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X638 ) @ ( den @ X637 ) ) @ ( n_ts @ ( num @ X637 ) @ ( den @ X638 ) ) ) )
=> ( ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X636 ) @ ( den @ X635 ) ) @ ( n_ts @ ( num @ X635 ) @ ( den @ X636 ) ) ) )
=> ~ $true )
=> ( e_is @ nat @ ( n_ts @ ( num @ X636 ) @ ( den @ X635 ) ) @ ( n_ts @ ( num @ X635 ) @ ( den @ X636 ) ) ) )
=> ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X638 @ X636 ) ) @ ( den @ ( n_pf @ X637 @ X635 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X637 @ X635 ) ) @ ( den @ ( n_pf @ X638 @ X636 ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz65b]),c_0_22]),c_0_28]),c_0_29]) ).
thf(c_0_38,negated_conjecture,
~ ( e_is @ nat @ ( n_ts @ ( num @ ( n_pf @ esk1_0 @ esk3_0 ) ) @ ( den @ ( n_pf @ esk2_0 @ esk4_0 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ esk2_0 @ esk4_0 ) ) @ ( den @ ( n_pf @ esk1_0 @ esk3_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_39,plain,
! [X1: $i,X4: $i,X6: $i,X5: $i] :
( ( e_is @ nat @ ( n_ts @ ( num @ ( n_pf @ X1 @ X5 ) ) @ ( den @ ( n_pf @ X4 @ X6 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X4 @ X6 ) ) @ ( den @ ( n_pf @ X1 @ X5 ) ) ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ frac )
| ~ ( in @ X6 @ frac )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ X5 ) @ ( den @ X6 ) ) @ ( n_ts @ ( num @ X6 ) @ ( den @ X5 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_40,negated_conjecture,
in @ esk4_0 @ frac,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_41,negated_conjecture,
in @ esk3_0 @ frac,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_42,negated_conjecture,
in @ esk2_0 @ frac,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_43,negated_conjecture,
in @ esk1_0 @ frac,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_44,negated_conjecture,
~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ esk1_0 @ esk3_0 ) ) @ ( den @ ( n_pf @ esk2_0 @ esk4_0 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ esk2_0 @ esk4_0 ) ) @ ( den @ ( n_pf @ esk1_0 @ esk3_0 ) ) ) ) ),
inference(cn,[status(thm)],[c_0_35]) ).
thf(c_0_45,plain,
! [X6: $i,X5: $i,X4: $i,X1: $i] :
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X1 @ X5 ) ) @ ( den @ ( n_pf @ X4 @ X6 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X4 @ X6 ) ) @ ( den @ ( n_pf @ X1 @ X5 ) ) ) ) )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X5 ) @ ( den @ X6 ) ) @ ( n_ts @ ( num @ X6 ) @ ( den @ X5 ) ) ) )
| ~ ( in @ X6 @ frac )
| ~ ( in @ X5 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac ) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
thf(c_0_46,plain,
! [X1127: $i,X1128: $i,X1129: $i,X1130: $i] :
( ( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1129 ) @ ( den @ X1130 ) ) @ ( n_ts @ ( num @ X1130 ) @ ( den @ X1129 ) ) ) )
| ~ $true
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X1127 @ X1129 ) ) @ ( den @ ( n_pf @ X1128 @ X1130 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X1128 @ X1130 ) ) @ ( den @ ( n_pf @ X1127 @ X1129 ) ) ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1127 ) @ ( den @ X1128 ) ) @ ( n_ts @ ( num @ X1128 ) @ ( den @ X1127 ) ) ) )
| ~ ( in @ X1130 @ frac )
| ~ ( in @ X1129 @ frac )
| ~ ( in @ X1128 @ frac )
| ~ ( in @ X1127 @ frac ) )
& ( ~ ( e_is @ nat @ ( n_ts @ ( num @ X1129 ) @ ( den @ X1130 ) ) @ ( n_ts @ ( num @ X1130 ) @ ( den @ X1129 ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X1127 @ X1129 ) ) @ ( den @ ( n_pf @ X1128 @ X1130 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X1128 @ X1130 ) ) @ ( den @ ( n_pf @ X1127 @ X1129 ) ) ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1127 ) @ ( den @ X1128 ) ) @ ( n_ts @ ( num @ X1128 ) @ ( den @ X1127 ) ) ) )
| ~ ( in @ X1130 @ frac )
| ~ ( in @ X1129 @ frac )
| ~ ( in @ X1128 @ frac )
| ~ ( in @ X1127 @ frac ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).
thf(c_0_47,negated_conjecture,
( ~ ( e_is @ nat @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43])]) ).
thf(c_0_48,negated_conjecture,
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) )
| ( e_is @ nat @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_49,negated_conjecture,
( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_40]),c_0_41]),c_0_42]),c_0_43])]) ).
thf(c_0_50,plain,
! [X1: $i,X4: $i,X6: $i,X5: $i] :
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X5 @ X1 ) ) @ ( den @ ( n_pf @ X6 @ X4 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X6 @ X4 ) ) @ ( den @ ( n_pf @ X5 @ X1 ) ) ) ) )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X5 ) @ ( den @ X6 ) ) @ ( n_ts @ ( num @ X6 ) @ ( den @ X5 ) ) ) )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X6 @ frac )
| ~ ( in @ X5 @ frac ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_51,negated_conjecture,
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
| ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_52,negated_conjecture,
~ ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
thf(c_0_53,plain,
! [X1: $i,X4: $i,X6: $i,X5: $i] :
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X5 @ X1 ) ) @ ( den @ ( n_pf @ X6 @ X4 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X6 @ X4 ) ) @ ( den @ ( n_pf @ X5 @ X1 ) ) ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) ) )
| ~ $true
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X5 ) @ ( den @ X6 ) ) @ ( n_ts @ ( num @ X6 ) @ ( den @ X5 ) ) ) )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X6 @ frac )
| ~ ( in @ X5 @ frac ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_54,negated_conjecture,
( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
| ~ ( e_is @ nat @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_50]),c_0_42]),c_0_43]),c_0_40]),c_0_41])]) ).
thf(c_0_55,negated_conjecture,
n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ),
inference(sr,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_56,plain,
! [X6: $i,X5: $i,X4: $i,X1: $i] :
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ ( n_pf @ X5 @ X1 ) ) @ ( den @ ( n_pf @ X6 @ X4 ) ) ) @ ( n_ts @ ( num @ ( n_pf @ X6 @ X4 ) ) @ ( den @ ( n_pf @ X5 @ X1 ) ) ) ) )
| ~ ( in @ X6 @ frac )
| ~ ( in @ X5 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X5 ) @ ( den @ X6 ) ) @ ( n_ts @ ( num @ X6 ) @ ( den @ X5 ) ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) ) ) ),
inference(cn,[status(thm)],[c_0_53]) ).
thf(c_0_57,negated_conjecture,
~ ( e_is @ nat @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
thf(c_0_58,negated_conjecture,
( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_56]),c_0_42]),c_0_43]),c_0_40]),c_0_41])]) ).
thf(c_0_59,negated_conjecture,
n_some @ ( diffprop @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ),
inference(sr,[status(thm)],[c_0_48,c_0_57]) ).
thf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_55])]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM765^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 12:53:45 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.21/0.29 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.3xt88XcFtv/E---3.1_2605332.p
% 1.33/0.54 % Version: 3.5.1-ho
% 1.33/0.54 % Preprocessing class: HSLMSMSMLLLCHSA.
% 1.33/0.54 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.54 % Starting pre_casc_4 with 1200s (4) cores
% 1.33/0.54 % Starting full_lambda_6 with 300s (1) cores
% 1.33/0.54 % Starting sh10 with 300s (1) cores
% 1.33/0.54 % Starting post_as_ho9 with 300s (1) cores
% 1.33/0.54 % Starting post_as_ho8 with 300s (1) cores
% 1.33/0.54 % pre_casc_4 with pid 2605345 completed with status 0
% 1.33/0.54 % Result found by pre_casc_4
% 1.33/0.54 % Preprocessing class: HSLMSMSMLLLCHSA.
% 1.33/0.54 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.54 % Starting pre_casc_4 with 1200s (4) cores
% 1.33/0.54 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
% 1.33/0.54 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 1.33/0.54 % Search class: HGHSM-FSLM31-DHSMMFBN
% 1.33/0.54 % partial match(2): HGHSM-FSLM31-DHSFFFBN
% 1.33/0.54 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 1.33/0.54 % Starting SubtermCWHack with 109s (1) cores
% 1.33/0.54 % Starting pre_casc_4 with 121s (1) cores
% 1.33/0.54 % Starting full_lambda_10 with 211s (1) cores
% 1.33/0.54 % Starting new_bool_8 with 210s (1) cores
% 1.33/0.54 % full_lambda_10 with pid 2605353 completed with status 0
% 1.33/0.54 % Result found by full_lambda_10
% 1.33/0.54 % Preprocessing class: HSLMSMSMLLLCHSA.
% 1.33/0.54 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.54 % Starting pre_casc_4 with 1200s (4) cores
% 1.33/0.54 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
% 1.33/0.54 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 1.33/0.54 % Search class: HGHSM-FSLM31-DHSMMFBN
% 1.33/0.54 % partial match(2): HGHSM-FSLM31-DHSFFFBN
% 1.33/0.54 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 1.33/0.54 % Starting SubtermCWHack with 109s (1) cores
% 1.33/0.54 % Starting pre_casc_4 with 121s (1) cores
% 1.33/0.54 % Starting full_lambda_10 with 211s (1) cores
% 1.33/0.54 % Preprocessing time : 0.008 s
% 1.33/0.54 % Presaturation interreduction done
% 1.33/0.54
% 1.33/0.54 % Proof found!
% 1.33/0.54 % SZS status Theorem
% 1.33/0.54 % SZS output start CNFRefutation
% See solution above
% 1.33/0.54 % Parsed axioms : 604
% 1.33/0.54 % Removed by relevancy pruning/SinE : 380
% 1.33/0.54 % Initial clauses : 366
% 1.33/0.54 % Removed in clause preprocessing : 92
% 1.33/0.54 % Initial clauses in saturation : 274
% 1.33/0.54 % Processed clauses : 570
% 1.33/0.54 % ...of these trivial : 4
% 1.33/0.54 % ...subsumed : 154
% 1.33/0.54 % ...remaining for further processing : 411
% 1.33/0.54 % Other redundant clauses eliminated : 14
% 1.33/0.54 % Clauses deleted for lack of memory : 0
% 1.33/0.54 % Backward-subsumed : 9
% 1.33/0.54 % Backward-rewritten : 14
% 1.33/0.54 % Generated clauses : 1664
% 1.33/0.54 % ...of the previous two non-redundant : 1531
% 1.33/0.54 % ...aggressively subsumed : 0
% 1.33/0.54 % Contextual simplify-reflections : 7
% 1.33/0.54 % Paramodulations : 1598
% 1.33/0.54 % Factorizations : 0
% 1.33/0.54 % NegExts : 1
% 1.33/0.54 % Equation resolutions : 16
% 1.33/0.54 % Disequality decompositions : 0
% 1.33/0.54 % Total rewrite steps : 653
% 1.33/0.54 % ...of those cached : 603
% 1.33/0.54 % Propositional unsat checks : 0
% 1.33/0.54 % Propositional check models : 0
% 1.33/0.54 % Propositional check unsatisfiable : 0
% 1.33/0.54 % Propositional clauses : 0
% 1.33/0.54 % Propositional clauses after purity: 0
% 1.33/0.54 % Propositional unsat core size : 0
% 1.33/0.54 % Propositional preprocessing time : 0.000
% 1.33/0.54 % Propositional encoding time : 0.000
% 1.33/0.54 % Propositional solver time : 0.000
% 1.33/0.54 % Success case prop preproc time : 0.000
% 1.33/0.54 % Success case prop encoding time : 0.000
% 1.33/0.54 % Success case prop solver time : 0.000
% 1.33/0.54 % Current number of processed clauses : 219
% 1.33/0.54 % Positive orientable unit clauses : 47
% 1.33/0.54 % Positive unorientable unit clauses: 5
% 1.33/0.54 % Negative unit clauses : 9
% 1.33/0.54 % Non-unit-clauses : 158
% 1.33/0.54 % Current number of unprocessed clauses: 1401
% 1.33/0.54 % ...number of literals in the above : 8487
% 1.33/0.54 % Current number of archived formulas : 0
% 1.33/0.54 % Current number of archived clauses : 192
% 1.33/0.54 % Clause-clause subsumption calls (NU) : 29126
% 1.33/0.54 % Rec. Clause-clause subsumption calls : 4766
% 1.33/0.54 % Non-unit clause-clause subsumptions : 159
% 1.33/0.54 % Unit Clause-clause subsumption calls : 207
% 1.33/0.54 % Rewrite failures with RHS unbound : 0
% 1.33/0.54 % BW rewrite match attempts : 95
% 1.33/0.54 % BW rewrite match successes : 24
% 1.33/0.54 % Condensation attempts : 570
% 1.33/0.54 % Condensation successes : 0
% 1.33/0.54 % Termbank termtop insertions : 353408
% 1.33/0.54 % Search garbage collected termcells : 35663
% 1.33/0.54
% 1.33/0.54 % -------------------------------------------------
% 1.33/0.54 % User time : 0.160 s
% 1.33/0.54 % System time : 0.013 s
% 1.33/0.54 % Total time : 0.174 s
% 1.33/0.54 % Maximum resident set size: 9908 pages
% 1.33/0.54
% 1.33/0.54 % -------------------------------------------------
% 1.33/0.54 % User time : 0.514 s
% 1.33/0.54 % System time : 0.045 s
% 1.33/0.54 % Total time : 0.559 s
% 1.33/0.54 % Maximum resident set size: 5632 pages
% 1.33/0.54 % E exiting
%------------------------------------------------------------------------------