TSTP Solution File: CSR144^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : Sat May 4 07:34:40 EDT 2024
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 330 ( 0 equ; 0 cnn)
% Maximal formula atoms : 140 ( 6 avg)
% Number of connectives : 745 ( 133 ~; 126 |; 32 &; 450 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 0 ^ 61 !; 6 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_23,type,
considers_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_24,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_25,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_26,type,
lMax_THFTYPE_i: $i ).
thf(decl_27,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_28,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_29,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/sandbox/tmp/tmp.BjoSg1DKmE/E---3.1_1560.p',con) ).
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/sandbox/tmp/tmp.BjoSg1DKmE/E---3.1_1560.p',ax_001) ).
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/sandbox/tmp/tmp.BjoSg1DKmE/E---3.1_1560.p',ax_002) ).
thf(ax,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/tmp/tmp.BjoSg1DKmE/E---3.1_1560.p',ax) ).
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/sandbox/tmp/tmp.BjoSg1DKmE/E---3.1_1560.p',ax_003) ).
thf(c_0_5,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)],[inference(assume_negation,[status(cth)],[con])]) ).
thf(c_0_6,plain,
! [X26: $i > $i > $o,X27: $i > $i > $o,X28: $i,X29: $i] :
( ( ~ ( X27 @ X28 @ X29 )
| ( X26 @ X29 @ X28 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X27 @ X26 ) )
& ( ~ ( X26 @ X29 @ X28 )
| ( X27 @ X28 @ X29 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X27 @ X26 ) ) ),
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_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,negated_conjecture,
! [X20: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X20 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X20 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
thf(c_0_9,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_6]) ).
thf(c_0_10,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(split_conjunct,[status(thm)],[ax]) ).
thf(c_0_11,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_12,plain,
! [X21: $o,X22: $i] :
( ( ~ ( considers_THFTYPE_IiooI @ X22 @ X21 )
| ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X21 @ X22 ) @ $true )
| ~ ( believes_THFTYPE_IiooI @ X22 @ X21 ) )
& ( ( considers_THFTYPE_IiooI @ X22 @ X21 )
| ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X21 @ X22 ) @ $false )
| ~ ( believes_THFTYPE_IiooI @ X22 @ X21 ) ) ),
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_13,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_8]) ).
thf(c_0_14,plain,
! [X4: $i,X3: $i] :
( ( husband_THFTYPE_IiioI @ X3 @ X4 )
| ~ ( wife_THFTYPE_IiioI @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_15,plain,
! [X24: $i,X25: $i] :
( ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $false )
| ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X24 @ 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 @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X24 @ 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 @ X24 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $false )
| ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ 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 @ X24 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ 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 @ X25 @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X24 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ X25 @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
thf(c_0_16,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_6]) ).
thf(c_0_17,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_12]) ).
thf(c_0_18,negated_conjecture,
! [X3: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_19,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_15]) ).
thf(c_0_20,plain,
! [X4: $i,X3: $i] :
( ( wife_THFTYPE_IiioI @ X3 @ X4 )
| ~ ( husband_THFTYPE_IiioI @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
thf(c_0_21,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_8]) ).
thf(c_0_22,negated_conjecture,
! [X3: $i] :
( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
thf(c_0_23,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_15]) ).
thf(c_0_24,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_15]) ).
thf(c_0_25,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_12]) ).
thf(c_0_26,negated_conjecture,
! [X3: $i] :
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_27,negated_conjecture,
! [X3: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ ~ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
thf(c_0_28,negated_conjecture,
( ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ $true @ lMax_THFTYPE_i ) @ ~ $true )
| ~ ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_22]) ).
thf(c_0_30,negated_conjecture,
! [X3: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
thf(c_0_31,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_15]) ).
thf(c_0_32,negated_conjecture,
( ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ ~ $true @ lMax_THFTYPE_i ) @ $true )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_17,c_0_28]) ).
thf(c_0_33,negated_conjecture,
considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]) ).
thf(c_0_34,negated_conjecture,
! [X3: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ $true @ lMax_THFTYPE_i ) @ ~ $true )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ $true ) ),
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
thf(c_0_35,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_15]) ).
thf(c_0_36,negated_conjecture,
( ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ ~ $true @ lMax_THFTYPE_i ) @ $true )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).
thf(c_0_37,negated_conjecture,
! [X3: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ $true @ lMax_THFTYPE_i ) @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_33])]) ).
thf(c_0_38,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_15]) ).
thf(c_0_39,plain,
! [X3: $i,X4: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X4 @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_31]),c_0_24]) ).
thf(c_0_40,negated_conjecture,
( ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ $true @ lMax_THFTYPE_i ) @ ~ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_36]),c_0_37]) ).
thf(c_0_41,plain,
! [X3: $i] :
( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_33])]) ).
thf(c_0_42,negated_conjecture,
! [X3: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X3 @ $true ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
thf(c_0_43,negated_conjecture,
believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true,
inference(sr,[status(thm)],[c_0_36,c_0_42]) ).
thf(c_0_44,negated_conjecture,
~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_43]),c_0_42]) ).
thf(c_0_45,negated_conjecture,
! [X3: $i] : ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_26]),c_0_33])]),c_0_42]) ).
thf(c_0_46,negated_conjecture,
holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ $true @ lMax_THFTYPE_i ) @ ~ $true,
inference(sr,[status(thm)],[c_0_40,c_0_44]) ).
thf(c_0_47,plain,
! [X3: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X3 @ ~ $true ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_45])]),c_0_44]) ).
thf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_46,c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 14:35:22 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running higher-order theorem proving
% 0.17/0.43 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.BjoSg1DKmE/E---3.1_1560.p
% 0.17/0.45 # Version: 3.1.0-ho
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_14 with 1500s (5) cores
% 0.17/0.45 # Starting full_lambda_8 with 300s (1) cores
% 0.17/0.45 # Starting new_ho_13 with 300s (1) cores
% 0.17/0.45 # Starting ho_unfolding_3 with 300s (1) cores
% 0.17/0.45 # new_ho_14 with pid 1640 completed with status 0
% 0.17/0.45 # Result found by new_ho_14
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_14 with 1500s (5) cores
% 0.17/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.45 # Search class: HGHNF-FFSF22-SSFFFSBN
% 0.17/0.45 # partial match(2): HGHNF-FFSF22-SHHFFSBN
% 0.17/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45 # Starting new_ho_10_unif with 450s (1) cores
% 0.17/0.45 # Starting new_ho_14 with 151s (1) cores
% 0.17/0.45 # Starting sh5l with 226s (1) cores
% 0.17/0.45 # Starting sh2lt with 226s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 226s (1) cores
% 0.17/0.45 # new_ho_14 with pid 1645 completed with status 0
% 0.17/0.45 # Result found by new_ho_14
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_14 with 1500s (5) cores
% 0.17/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.45 # Search class: HGHNF-FFSF22-SSFFFSBN
% 0.17/0.45 # partial match(2): HGHNF-FFSF22-SHHFFSBN
% 0.17/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45 # Starting new_ho_10_unif with 450s (1) cores
% 0.17/0.45 # Starting new_ho_14 with 151s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45 # Presaturation interreduction done
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Theorem
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 13
% 0.17/0.45 # Removed by relevancy pruning/SinE : 8
% 0.17/0.45 # Initial clauses : 32
% 0.17/0.45 # Removed in clause preprocessing : 18
% 0.17/0.45 # Initial clauses in saturation : 14
% 0.17/0.45 # Processed clauses : 63
% 0.17/0.45 # ...of these trivial : 1
% 0.17/0.45 # ...subsumed : 7
% 0.17/0.45 # ...remaining for further processing : 55
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 12
% 0.17/0.45 # Backward-rewritten : 12
% 0.17/0.45 # Generated clauses : 38
% 0.17/0.45 # ...of the previous two non-redundant : 41
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 9
% 0.17/0.45 # Paramodulations : 35
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Disequality decompositions : 0
% 0.17/0.45 # Total rewrite steps : 14
% 0.17/0.45 # ...of those cached : 9
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 14
% 0.17/0.45 # Positive orientable unit clauses : 4
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 3
% 0.17/0.45 # Non-unit-clauses : 7
% 0.17/0.45 # Current number of unprocessed clauses: 1
% 0.17/0.45 # ...number of literals in the above : 3
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 42
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 122
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 112
% 0.17/0.45 # Non-unit clause-clause subsumptions : 20
% 0.17/0.45 # Unit Clause-clause subsumption calls : 11
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 5
% 0.17/0.45 # BW rewrite match successes : 5
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 2368
% 0.17/0.45 # Search garbage collected termcells : 256
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.007 s
% 0.17/0.45 # System time : 0.001 s
% 0.17/0.45 # Total time : 0.007 s
% 0.17/0.45 # Maximum resident set size: 1956 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.024 s
% 0.17/0.45 # System time : 0.005 s
% 0.17/0.45 # Total time : 0.029 s
% 0.17/0.45 # Maximum resident set size: 1728 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.45 % E exiting
%------------------------------------------------------------------------------