%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : CSR144^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 07:46:49 AM UTC 2026
% Result : Theorem 0.22s 0.27s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 50 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 328 ( 0 equ; 0 cnn)
% Maximal formula atoms : 140 ( 6 avg)
% Number of connectives : 774 ( 133 ~; 139 |; 32 &; 466 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 0 ^; 76 !; 7 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_24,type,
considers_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_25,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_26,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_27,type,
lMax_THFTYPE_i: $i ).
thf(decl_28,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_29,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_30,type,
esk1_2: $o > $i > $i ).
thf(con,conjecture,
? [X9: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X9 ) ),
file('/export/starexec/sandbox2/tmp/tmp.kxiWEb8zbE/E---3.1_145667.p',con) ).
thf(ax_003,axiom,
! [X8: $i] :
~ ? [X9: $i] : ( holdsDuring_THFTYPE_IiooI @ X9 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X8 @ lMax_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kxiWEb8zbE/E---3.1_145667.p',ax_003) ).
thf(ax_002,axiom,
! [X5: $o,X6: $i] :
( ( believes_THFTYPE_IiooI @ X6 @ X5 )
=> ? [X7: $i] : ( holdsDuring_THFTYPE_IiooI @ X7 @ ( considers_THFTYPE_IiooI @ X6 @ X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kxiWEb8zbE/E---3.1_145667.p',ax_002) ).
thf(ax_001,axiom,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ X1 )
=> ! [X3: $i,X4: $i] :
( ( X2 @ X3 @ X4 )
<=> ( X1 @ X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kxiWEb8zbE/E---3.1_145667.p',ax_001) ).
thf(ax,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/tmp/tmp.kxiWEb8zbE/E---3.1_145667.p',ax) ).
thf(c_0_5,negated_conjecture,
~ ? [X9: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X9 ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_6,axiom,
! [X8: $i] :
~ ? [X9: $i] :
( ( ( ( ~ ( wife_THFTYPE_IiioI @ X8 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( wife_THFTYPE_IiioI @ X8 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) )
| ( holdsDuring_THFTYPE_IiooI @ X9 @ $true ) )
& ( ( ( ~ ( wife_THFTYPE_IiioI @ X8 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( wife_THFTYPE_IiioI @ X8 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) )
| ( holdsDuring_THFTYPE_IiooI @ X9 @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_003]) ).
thf(c_0_7,axiom,
! [X5: $o,X6: $i] :
( ( believes_THFTYPE_IiooI @ X6 @ X5 )
=> ? [X7: $i] :
( ( ~ ( considers_THFTYPE_IiooI @ X6 @ X5 )
| ( holdsDuring_THFTYPE_IiooI @ X7 @ $true ) )
& ( ( considers_THFTYPE_IiooI @ X6 @ X5 )
| ( holdsDuring_THFTYPE_IiooI @ X7 @ $false ) ) ) ),
inference(fool_unroll,[status(thm)],[ax_002]) ).
thf(c_0_8,plain,
! [X20: $i > $i > $o,X21: $i > $i > $o,X22: $i,X23: $i] :
( ( ~ ( X21 @ X22 @ X23 )
| ( X20 @ X23 @ X22 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X21 @ X20 ) )
& ( ~ ( X20 @ X23 @ X22 )
| ( X21 @ X22 @ X23 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X21 @ X20 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_001])])])])]) ).
thf(c_0_9,negated_conjecture,
~ ? [X9: $i] :
~ ( ( ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X9 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X9 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_5]) ).
thf(c_0_10,plain,
! [X27: $i,X28: $i] :
( ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $false )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $false )
| ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X27 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
thf(c_0_11,plain,
! [X24: $o,X25: $i] :
( ( ~ ( considers_THFTYPE_IiooI @ X25 @ X24 )
| ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X24 @ X25 ) @ $true )
| ~ ( believes_THFTYPE_IiooI @ X25 @ X24 ) )
& ( ( considers_THFTYPE_IiooI @ X25 @ X24 )
| ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X24 @ X25 ) @ $false )
| ~ ( believes_THFTYPE_IiooI @ X25 @ X24 ) ) ),
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_7])])])])]) ).
thf(c_0_12,plain,
! [X1: $i > $i > $o,X4: $i,X3: $i,X2: $i > $i > $o] :
( ( X2 @ X4 @ X3 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(split_conjunct,[status(thm)],[ax]) ).
thf(c_0_14,negated_conjecture,
! [X29: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X29 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X29 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
thf(c_0_15,plain,
! [X4: $i,X3: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X4 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_16,plain,
! [X3: $i,X5: $o] :
( ( considers_THFTYPE_IiooI @ X3 @ X5 )
| ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X5 @ X3 ) @ ~ $true )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,plain,
! [X4: $i,X3: $i] :
( ( wife_THFTYPE_IiioI @ X3 @ X4 )
| ~ ( husband_THFTYPE_IiioI @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_18,negated_conjecture,
! [X3: $i] :
( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X3 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_19,plain,
! [X3: $i,X4: $i,X5: $o] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ X4 @ X5 )
| ~ ( believes_THFTYPE_IiooI @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_20,negated_conjecture,
! [X3: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_21,plain,
! [X4: $i,X3: $i,X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X2 @ X4 @ X3 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_22,plain,
! [X3: $i] :
( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_23,plain,
! [X3: $i,X5: $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X5 @ X3 ) @ $true )
| ~ ( considers_THFTYPE_IiooI @ X3 @ X5 )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_24,negated_conjecture,
! [X3: $i,X4: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X4 @ lMax_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X3: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_26,plain,
! [X4: $i,X3: $i] :
( ( husband_THFTYPE_IiioI @ X3 @ X4 )
| ~ ( wife_THFTYPE_IiioI @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
thf(c_0_27,plain,
! [X3: $i,X4: $i] :
( ~ ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_28,plain,
! [X3: $i,X5: $o] :
( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X5 )
| ~ ( considers_THFTYPE_IiooI @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ) ),
inference(ef,[status(thm)],[c_0_24]) ).
thf(c_0_30,plain,
! [X3: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_31,negated_conjecture,
! [X3: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_32,plain,
! [X3: $i,X4: $i,X5: $o] :
( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ~ ( believes_THFTYPE_IiooI @ X4 @ X5 )
| ~ ( considers_THFTYPE_IiooI @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
thf(c_0_33,negated_conjecture,
! [X3: $i] :
( ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_29]) ).
thf(c_0_34,plain,
! [X3: $i,X5: $o] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( considers_THFTYPE_IiooI @ X3 @ X5 )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_16]) ).
thf(c_0_35,negated_conjecture,
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) ),
inference(spm,[status(thm)],[c_0_31,c_0_29]) ).
thf(c_0_36,negated_conjecture,
! [X3: $i,X5: $o] :
( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X5 )
| ~ ( considers_THFTYPE_IiooI @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_37,negated_conjecture,
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) ),
inference(spm,[status(thm)],[c_0_31,c_0_33]) ).
thf(c_0_38,plain,
! [X3: $i,X4: $i] :
( ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_39,negated_conjecture,
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_40,negated_conjecture,
~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_41,plain,
! [X3: $i,X4: $i,X5: $o] :
( ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ~ ( believes_THFTYPE_IiooI @ X4 @ X5 )
| ~ ( considers_THFTYPE_IiooI @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_29]) ).
thf(c_0_42,negated_conjecture,
considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true,
inference(sr,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_43,plain,
! [X3: $i,X4: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ ~ $true )
| ~ ( wife_THFTYPE_IiioI @ X4 @ lMax_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_44,negated_conjecture,
! [X3: $i,X4: $i] :
( ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X4 @ lMax_THFTYPE_i ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_20]),c_0_42])]) ).
thf(c_0_45,plain,
! [X3: $i,X4: $i,X5: $o] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ X3 @ X5 )
| ~ ( wife_THFTYPE_IiioI @ X4 @ lMax_THFTYPE_i )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_16]) ).
thf(c_0_46,negated_conjecture,
! [X3: $i] : ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ),
inference(ef,[status(thm)],[c_0_44]) ).
thf(c_0_47,plain,
! [X3: $i,X5: $o] :
( ( considers_THFTYPE_IiooI @ X3 @ X5 )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X5 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]),c_0_40]) ).
thf(c_0_48,negated_conjecture,
believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_46])]) ).
thf(c_0_49,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR144^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:57:00 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 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.kxiWEb8zbE/E---3.1_145667.p
% 0.22/0.27 % Version: 3.5.1-ho
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSSNSFA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting new_ho_14 with 1500s (5) cores
% 0.22/0.27 % Starting full_lambda_8 with 300s (1) cores
% 0.22/0.27 % Starting new_ho_13 with 300s (1) cores
% 0.22/0.27 % Starting ho_unfolding_3 with 300s (1) cores
% 0.22/0.27 % full_lambda_8 with pid 145681 completed with status 0
% 0.22/0.27 % Result found by full_lambda_8
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSSNSFA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting new_ho_14 with 1500s (5) cores
% 0.22/0.27 % Starting full_lambda_8 with 300s (1) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.27 % No SInE strategy applied
% 0.22/0.27 % Search class: HGHNF-FFSF22-SSFFFSBN
% 0.22/0.27 % partial match(2): HGHNF-FFSF22-SHHFFSBN
% 0.22/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.27 % SubtermCWHack with pid 145684 completed with status 0
% 0.22/0.27 % Result found by SubtermCWHack
% 0.22/0.27 % Preprocessing class: HSSSSMSSSSSNSFA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting new_ho_14 with 1500s (5) cores
% 0.22/0.27 % Starting full_lambda_8 with 300s (1) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.27 % No SInE strategy applied
% 0.22/0.27 % Search class: HGHNF-FFSF22-SSFFFSBN
% 0.22/0.27 % partial match(2): HGHNF-FFSF22-SHHFFSBN
% 0.22/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.27 % Preprocessing time : 0.001 s
% 0.22/0.27
% 0.22/0.27 % Proof found!
% 0.22/0.27 % SZS status Theorem
% 0.22/0.27 % SZS output start CNFRefutation
% See solution above
% 0.22/0.27 % Parsed axioms : 13
% 0.22/0.27 % Removed by relevancy pruning/SinE : 0
% 0.22/0.27 % Initial clauses : 40
% 0.22/0.27 % Removed in clause preprocessing : 26
% 0.22/0.27 % Initial clauses in saturation : 14
% 0.22/0.27 % Processed clauses : 44
% 0.22/0.27 % ...of these trivial : 0
% 0.22/0.27 % ...subsumed : 2
% 0.22/0.27 % ...remaining for further processing : 42
% 0.22/0.27 % Other redundant clauses eliminated : 0
% 0.22/0.27 % Clauses deleted for lack of memory : 0
% 0.22/0.27 % Backward-subsumed : 18
% 0.22/0.27 % Backward-rewritten : 10
% 0.22/0.27 % Generated clauses : 55
% 0.22/0.27 % ...of the previous two non-redundant : 53
% 0.22/0.27 % ...aggressively subsumed : 0
% 0.22/0.27 % Contextual simplify-reflections : 2
% 0.22/0.27 % Paramodulations : 50
% 0.22/0.27 % Factorizations : 4
% 0.22/0.27 % NegExts : 0
% 0.22/0.27 % Equation resolutions : 0
% 0.22/0.27 % Disequality decompositions : 0
% 0.22/0.27 % Total rewrite steps : 11
% 0.22/0.27 % ...of those cached : 7
% 0.22/0.27 % Propositional unsat checks : 0
% 0.22/0.27 % Propositional check models : 0
% 0.22/0.27 % Propositional check unsatisfiable : 0
% 0.22/0.27 % Propositional clauses : 0
% 0.22/0.27 % Propositional clauses after purity: 0
% 0.22/0.27 % Propositional unsat core size : 0
% 0.22/0.27 % Propositional preprocessing time : 0.000
% 0.22/0.27 % Propositional encoding time : 0.000
% 0.22/0.27 % Propositional solver time : 0.000
% 0.22/0.27 % Success case prop preproc time : 0.000
% 0.22/0.27 % Success case prop encoding time : 0.000
% 0.22/0.27 % Success case prop solver time : 0.000
% 0.22/0.27 % Current number of processed clauses : 13
% 0.22/0.27 % Positive orientable unit clauses : 4
% 0.22/0.27 % Positive unorientable unit clauses: 0
% 0.22/0.27 % Negative unit clauses : 2
% 0.22/0.27 % Non-unit-clauses : 7
% 0.22/0.27 % Current number of unprocessed clauses: 1
% 0.22/0.27 % ...number of literals in the above : 2
% 0.22/0.27 % Current number of archived formulas : 0
% 0.22/0.27 % Current number of archived clauses : 29
% 0.22/0.27 % Clause-clause subsumption calls (NU) : 122
% 0.22/0.27 % Rec. Clause-clause subsumption calls : 89
% 0.22/0.27 % Non-unit clause-clause subsumptions : 14
% 0.22/0.27 % Unit Clause-clause subsumption calls : 10
% 0.22/0.27 % Rewrite failures with RHS unbound : 0
% 0.22/0.27 % BW rewrite match attempts : 4
% 0.22/0.27 % BW rewrite match successes : 4
% 0.22/0.27 % Condensation attempts : 0
% 0.22/0.27 % Condensation successes : 0
% 0.22/0.27 % Termbank termtop insertions : 2604
% 0.22/0.27 % Search garbage collected termcells : 254
% 0.22/0.27
% 0.22/0.27 % -------------------------------------------------
% 0.22/0.27 % User time : 0.008 s
% 0.22/0.27 % System time : 0.000 s
% 0.22/0.27 % Total time : 0.008 s
% 0.22/0.27 % Maximum resident set size: 3640 pages
% 0.22/0.27
% 0.22/0.27 % -------------------------------------------------
% 0.22/0.27 % User time : 0.010 s
% 0.22/0.27 % System time : 0.005 s
% 0.22/0.27 % Total time : 0.014 s
% 0.22/0.27 % Maximum resident set size: 4608 pages
% 0.22/0.27 % E exiting
%------------------------------------------------------------------------------