TSTP Solution File: SYO068^4.010 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SYO068^4.010 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 Jun 24 20:29:09 EDT 2024
% Result : Theorem 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 20
% Syntax : Number of formulae : 98 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 529 ( 16 equ; 0 cnn)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1424 ( 219 ~; 256 |; 30 &; 873 @)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 40 usr; 2 con; 0-3 aty)
% Number of variables : 219 ( 34 ^ 185 !; 0 ?; 219 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
irel: $i > $i > $o ).
thf(decl_23,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_24,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_26,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_27,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(decl_28,type,
iatom: ( $i > $o ) > $i > $o ).
thf(decl_34,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_38,type,
ivalid: ( $i > $o ) > $o ).
thf(decl_42,type,
p0: $i > $o ).
thf(decl_43,type,
p1: $i > $o ).
thf(decl_44,type,
p10: $i > $o ).
thf(decl_45,type,
p2: $i > $o ).
thf(decl_46,type,
p3: $i > $o ).
thf(decl_47,type,
p4: $i > $o ).
thf(decl_48,type,
p5: $i > $o ).
thf(decl_49,type,
p6: $i > $o ).
thf(decl_50,type,
p7: $i > $o ).
thf(decl_51,type,
p8: $i > $o ).
thf(decl_52,type,
p9: $i > $o ).
thf(decl_53,type,
esk1_1: $i > $i ).
thf(decl_54,type,
esk2_2: $i > $i > $i ).
thf(decl_55,type,
esk3_1: $i > $i ).
thf(decl_56,type,
esk4_2: $i > $i > $i ).
thf(decl_57,type,
esk5_1: $i > $i ).
thf(decl_58,type,
esk6_2: $i > $i > $i ).
thf(decl_59,type,
esk7_1: $i > $i ).
thf(decl_60,type,
esk8_2: $i > $i > $i ).
thf(decl_61,type,
esk9_1: $i > $i ).
thf(decl_62,type,
esk10_2: $i > $i > $i ).
thf(decl_63,type,
esk11_1: $i > $i ).
thf(decl_64,type,
esk12_2: $i > $i > $i ).
thf(decl_65,type,
esk13_1: $i > $i ).
thf(decl_66,type,
esk14_2: $i > $i > $i ).
thf(decl_67,type,
esk15_1: $i > $i ).
thf(decl_68,type,
esk16_2: $i > $i > $i ).
thf(decl_69,type,
esk17_1: $i > $i ).
thf(decl_70,type,
esk18_2: $i > $i > $i ).
thf(decl_71,type,
esk19_1: $i > $i ).
thf(decl_72,type,
esk20_2: $i > $i > $i ).
thf(decl_73,type,
esk21_0: $i ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X10: $i > $o,X11: $i > $o] : ( mor @ ( mnot @ X10 ) @ X11 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',mimplies) ).
thf(mnot,axiom,
( mnot
= ( ^ [X4: $i > $o,X5: $i] :
~ ( X4 @ X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X5: $i] :
( ( X6 @ X5 )
| ( X7 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',mor) ).
thf(iimplies,axiom,
( iimplies
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mimplies @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',iimplies) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X12: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X12 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',mbox_s4) ).
thf(iatom,axiom,
( iatom
= ( ^ [X12: $i > $o] : X12 ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',iatom) ).
thf(ivalid,axiom,
( ivalid
= ( ^ [X15: $i > $o] :
! [X13: $i] : ( X15 @ X13 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',ivalid) ).
thf(axiom11,axiom,
ivalid @ ( iimplies @ ( iatom @ p10 ) @ ( iimplies @ ( iatom @ p10 ) @ ( iatom @ p9 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom11) ).
thf(axiom1,axiom,
ivalid @ ( iatom @ p10 ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom1) ).
thf(refl_axiom,axiom,
! [X1: $i] : ( irel @ X1 @ X1 ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',refl_axiom) ).
thf(axiom10,axiom,
ivalid @ ( iimplies @ ( iatom @ p9 ) @ ( iimplies @ ( iatom @ p9 ) @ ( iatom @ p8 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom10) ).
thf(axiom9,axiom,
ivalid @ ( iimplies @ ( iatom @ p8 ) @ ( iimplies @ ( iatom @ p8 ) @ ( iatom @ p7 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom9) ).
thf(axiom8,axiom,
ivalid @ ( iimplies @ ( iatom @ p7 ) @ ( iimplies @ ( iatom @ p7 ) @ ( iatom @ p6 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom8) ).
thf(axiom7,axiom,
ivalid @ ( iimplies @ ( iatom @ p6 ) @ ( iimplies @ ( iatom @ p6 ) @ ( iatom @ p5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom7) ).
thf(axiom6,axiom,
ivalid @ ( iimplies @ ( iatom @ p5 ) @ ( iimplies @ ( iatom @ p5 ) @ ( iatom @ p4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom6) ).
thf(axiom5,axiom,
ivalid @ ( iimplies @ ( iatom @ p4 ) @ ( iimplies @ ( iatom @ p4 ) @ ( iatom @ p3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom5) ).
thf(axiom4,axiom,
ivalid @ ( iimplies @ ( iatom @ p3 ) @ ( iimplies @ ( iatom @ p3 ) @ ( iatom @ p2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom4) ).
thf(axiom3,axiom,
ivalid @ ( iimplies @ ( iatom @ p2 ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ p1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom3) ).
thf(axiom2,axiom,
ivalid @ ( iimplies @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',axiom2) ).
thf(con,conjecture,
ivalid @ ( iatom @ p0 ),
file('/export/starexec/sandbox2/tmp/tmp.7GBvHveN1H/E---3.1_23862.p',con) ).
thf(c_0_20,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_21,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_22,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_23,plain,
( iimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ! [X24: $i] :
( ( irel @ Z2 @ X24 )
=> ( Z0 @ X24 ) )
| ! [X25: $i] :
( ( irel @ Z2 @ X25 )
=> ( Z1 @ X25 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[iimplies]) ).
thf(c_0_24,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
thf(c_0_25,plain,
( mbox_s4
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X2: $i] :
( ( irel @ Z1 @ X2 )
=> ( Z0 @ X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_s4]) ).
thf(c_0_26,plain,
( iatom
= ( ^ [Z0: $i > $o] : Z0 ) ),
inference(fof_simplification,[status(thm)],[iatom]) ).
thf(c_0_27,plain,
( iimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ! [X24: $i] :
( ( irel @ Z2 @ X24 )
=> ( Z0 @ X24 ) )
| ! [X25: $i] :
( ( irel @ Z2 @ X25 )
=> ( Z1 @ X25 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
thf(c_0_28,plain,
( ivalid
= ( ^ [Z0: $i > $o] :
! [X13: $i] : ( Z0 @ X13 ) ) ),
inference(fof_simplification,[status(thm)],[ivalid]) ).
thf(c_0_29,plain,
! [X87: $i] :
( ~ ! [X85: $i] :
( ( irel @ X87 @ X85 )
=> ( p10 @ X85 ) )
| ! [X86: $i] :
( ( irel @ X87 @ X86 )
=> ( ~ ! [X83: $i] :
( ( irel @ X86 @ X83 )
=> ( p10 @ X83 ) )
| ! [X84: $i] :
( ( irel @ X86 @ X84 )
=> ( p9 @ X84 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom11,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_30,plain,
! [X37: $i] : ( p10 @ X37 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom1,c_0_26]),c_0_28]) ).
thf(c_0_31,plain,
! [X139: $i,X141: $i,X143: $i] :
( ( ( irel @ X141 @ ( esk20_2 @ X139 @ X141 ) )
| ~ ( irel @ X141 @ X143 )
| ( p9 @ X143 )
| ~ ( irel @ X139 @ X141 )
| ( irel @ X139 @ ( esk19_1 @ X139 ) ) )
& ( ~ ( p10 @ ( esk20_2 @ X139 @ X141 ) )
| ~ ( irel @ X141 @ X143 )
| ( p9 @ X143 )
| ~ ( irel @ X139 @ X141 )
| ( irel @ X139 @ ( esk19_1 @ X139 ) ) )
& ( ( irel @ X141 @ ( esk20_2 @ X139 @ X141 ) )
| ~ ( irel @ X141 @ X143 )
| ( p9 @ X143 )
| ~ ( irel @ X139 @ X141 )
| ~ ( p10 @ ( esk19_1 @ X139 ) ) )
& ( ~ ( p10 @ ( esk20_2 @ X139 @ X141 ) )
| ~ ( irel @ X141 @ X143 )
| ( p9 @ X143 )
| ~ ( irel @ X139 @ X141 )
| ~ ( p10 @ ( esk19_1 @ X139 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])]) ).
thf(c_0_32,plain,
! [X93: $i] : ( p10 @ X93 ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
thf(c_0_33,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p9 @ X3 )
| ~ ( p10 @ ( esk20_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p10 @ ( esk19_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_34,plain,
! [X1: $i] : ( p10 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_35,plain,
! [X89: $i] : ( irel @ X89 @ X89 ),
inference(variable_rename,[status(thm)],[refl_axiom]) ).
thf(c_0_36,plain,
! [X82: $i] :
( ~ ! [X80: $i] :
( ( irel @ X82 @ X80 )
=> ( p9 @ X80 ) )
| ! [X81: $i] :
( ( irel @ X82 @ X81 )
=> ( ~ ! [X78: $i] :
( ( irel @ X81 @ X78 )
=> ( p9 @ X78 ) )
| ! [X79: $i] :
( ( irel @ X81 @ X79 )
=> ( p8 @ X79 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom10,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_37,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p9 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_34])]) ).
thf(c_0_38,plain,
! [X1: $i] : ( irel @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_39,plain,
! [X134: $i,X136: $i,X138: $i] :
( ( ( irel @ X136 @ ( esk18_2 @ X134 @ X136 ) )
| ~ ( irel @ X136 @ X138 )
| ( p8 @ X138 )
| ~ ( irel @ X134 @ X136 )
| ( irel @ X134 @ ( esk17_1 @ X134 ) ) )
& ( ~ ( p9 @ ( esk18_2 @ X134 @ X136 ) )
| ~ ( irel @ X136 @ X138 )
| ( p8 @ X138 )
| ~ ( irel @ X134 @ X136 )
| ( irel @ X134 @ ( esk17_1 @ X134 ) ) )
& ( ( irel @ X136 @ ( esk18_2 @ X134 @ X136 ) )
| ~ ( irel @ X136 @ X138 )
| ( p8 @ X138 )
| ~ ( irel @ X134 @ X136 )
| ~ ( p9 @ ( esk17_1 @ X134 ) ) )
& ( ~ ( p9 @ ( esk18_2 @ X134 @ X136 ) )
| ~ ( irel @ X136 @ X138 )
| ( p8 @ X138 )
| ~ ( irel @ X134 @ X136 )
| ~ ( p9 @ ( esk17_1 @ X134 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])])]) ).
thf(c_0_40,plain,
! [X2: $i,X1: $i] :
( ( p9 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_41,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p8 @ X3 )
| ~ ( p9 @ ( esk18_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p9 @ ( esk17_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_42,plain,
! [X1: $i] : ( p9 @ X1 ),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
thf(c_0_43,plain,
! [X77: $i] :
( ~ ! [X75: $i] :
( ( irel @ X77 @ X75 )
=> ( p8 @ X75 ) )
| ! [X76: $i] :
( ( irel @ X77 @ X76 )
=> ( ~ ! [X73: $i] :
( ( irel @ X76 @ X73 )
=> ( p8 @ X73 ) )
| ! [X74: $i] :
( ( irel @ X76 @ X74 )
=> ( p7 @ X74 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom9,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_44,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p8 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_42])]) ).
thf(c_0_45,plain,
! [X129: $i,X131: $i,X133: $i] :
( ( ( irel @ X131 @ ( esk16_2 @ X129 @ X131 ) )
| ~ ( irel @ X131 @ X133 )
| ( p7 @ X133 )
| ~ ( irel @ X129 @ X131 )
| ( irel @ X129 @ ( esk15_1 @ X129 ) ) )
& ( ~ ( p8 @ ( esk16_2 @ X129 @ X131 ) )
| ~ ( irel @ X131 @ X133 )
| ( p7 @ X133 )
| ~ ( irel @ X129 @ X131 )
| ( irel @ X129 @ ( esk15_1 @ X129 ) ) )
& ( ( irel @ X131 @ ( esk16_2 @ X129 @ X131 ) )
| ~ ( irel @ X131 @ X133 )
| ( p7 @ X133 )
| ~ ( irel @ X129 @ X131 )
| ~ ( p8 @ ( esk15_1 @ X129 ) ) )
& ( ~ ( p8 @ ( esk16_2 @ X129 @ X131 ) )
| ~ ( irel @ X131 @ X133 )
| ( p7 @ X133 )
| ~ ( irel @ X129 @ X131 )
| ~ ( p8 @ ( esk15_1 @ X129 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])])]) ).
thf(c_0_46,plain,
! [X2: $i,X1: $i] :
( ( p8 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_38]) ).
thf(c_0_47,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p7 @ X3 )
| ~ ( p8 @ ( esk16_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p8 @ ( esk15_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_48,plain,
! [X1: $i] : ( p8 @ X1 ),
inference(spm,[status(thm)],[c_0_46,c_0_38]) ).
thf(c_0_49,plain,
! [X72: $i] :
( ~ ! [X70: $i] :
( ( irel @ X72 @ X70 )
=> ( p7 @ X70 ) )
| ! [X71: $i] :
( ( irel @ X72 @ X71 )
=> ( ~ ! [X68: $i] :
( ( irel @ X71 @ X68 )
=> ( p7 @ X68 ) )
| ! [X69: $i] :
( ( irel @ X71 @ X69 )
=> ( p6 @ X69 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom8,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_50,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p7 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_48])]) ).
thf(c_0_51,plain,
! [X124: $i,X126: $i,X128: $i] :
( ( ( irel @ X126 @ ( esk14_2 @ X124 @ X126 ) )
| ~ ( irel @ X126 @ X128 )
| ( p6 @ X128 )
| ~ ( irel @ X124 @ X126 )
| ( irel @ X124 @ ( esk13_1 @ X124 ) ) )
& ( ~ ( p7 @ ( esk14_2 @ X124 @ X126 ) )
| ~ ( irel @ X126 @ X128 )
| ( p6 @ X128 )
| ~ ( irel @ X124 @ X126 )
| ( irel @ X124 @ ( esk13_1 @ X124 ) ) )
& ( ( irel @ X126 @ ( esk14_2 @ X124 @ X126 ) )
| ~ ( irel @ X126 @ X128 )
| ( p6 @ X128 )
| ~ ( irel @ X124 @ X126 )
| ~ ( p7 @ ( esk13_1 @ X124 ) ) )
& ( ~ ( p7 @ ( esk14_2 @ X124 @ X126 ) )
| ~ ( irel @ X126 @ X128 )
| ( p6 @ X128 )
| ~ ( irel @ X124 @ X126 )
| ~ ( p7 @ ( esk13_1 @ X124 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])])])]) ).
thf(c_0_52,plain,
! [X2: $i,X1: $i] :
( ( p7 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_38]) ).
thf(c_0_53,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p6 @ X3 )
| ~ ( p7 @ ( esk14_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p7 @ ( esk13_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
thf(c_0_54,plain,
! [X1: $i] : ( p7 @ X1 ),
inference(spm,[status(thm)],[c_0_52,c_0_38]) ).
thf(c_0_55,plain,
! [X67: $i] :
( ~ ! [X65: $i] :
( ( irel @ X67 @ X65 )
=> ( p6 @ X65 ) )
| ! [X66: $i] :
( ( irel @ X67 @ X66 )
=> ( ~ ! [X63: $i] :
( ( irel @ X66 @ X63 )
=> ( p6 @ X63 ) )
| ! [X64: $i] :
( ( irel @ X66 @ X64 )
=> ( p5 @ X64 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom7,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_56,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p6 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_54])]) ).
thf(c_0_57,plain,
! [X119: $i,X121: $i,X123: $i] :
( ( ( irel @ X121 @ ( esk12_2 @ X119 @ X121 ) )
| ~ ( irel @ X121 @ X123 )
| ( p5 @ X123 )
| ~ ( irel @ X119 @ X121 )
| ( irel @ X119 @ ( esk11_1 @ X119 ) ) )
& ( ~ ( p6 @ ( esk12_2 @ X119 @ X121 ) )
| ~ ( irel @ X121 @ X123 )
| ( p5 @ X123 )
| ~ ( irel @ X119 @ X121 )
| ( irel @ X119 @ ( esk11_1 @ X119 ) ) )
& ( ( irel @ X121 @ ( esk12_2 @ X119 @ X121 ) )
| ~ ( irel @ X121 @ X123 )
| ( p5 @ X123 )
| ~ ( irel @ X119 @ X121 )
| ~ ( p6 @ ( esk11_1 @ X119 ) ) )
& ( ~ ( p6 @ ( esk12_2 @ X119 @ X121 ) )
| ~ ( irel @ X121 @ X123 )
| ( p5 @ X123 )
| ~ ( irel @ X119 @ X121 )
| ~ ( p6 @ ( esk11_1 @ X119 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])])]) ).
thf(c_0_58,plain,
! [X2: $i,X1: $i] :
( ( p6 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_38]) ).
thf(c_0_59,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p5 @ X3 )
| ~ ( p6 @ ( esk12_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p6 @ ( esk11_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
thf(c_0_60,plain,
! [X1: $i] : ( p6 @ X1 ),
inference(spm,[status(thm)],[c_0_58,c_0_38]) ).
thf(c_0_61,plain,
! [X62: $i] :
( ~ ! [X60: $i] :
( ( irel @ X62 @ X60 )
=> ( p5 @ X60 ) )
| ! [X61: $i] :
( ( irel @ X62 @ X61 )
=> ( ~ ! [X58: $i] :
( ( irel @ X61 @ X58 )
=> ( p5 @ X58 ) )
| ! [X59: $i] :
( ( irel @ X61 @ X59 )
=> ( p4 @ X59 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom6,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_62,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p5 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_60])]) ).
thf(c_0_63,plain,
! [X114: $i,X116: $i,X118: $i] :
( ( ( irel @ X116 @ ( esk10_2 @ X114 @ X116 ) )
| ~ ( irel @ X116 @ X118 )
| ( p4 @ X118 )
| ~ ( irel @ X114 @ X116 )
| ( irel @ X114 @ ( esk9_1 @ X114 ) ) )
& ( ~ ( p5 @ ( esk10_2 @ X114 @ X116 ) )
| ~ ( irel @ X116 @ X118 )
| ( p4 @ X118 )
| ~ ( irel @ X114 @ X116 )
| ( irel @ X114 @ ( esk9_1 @ X114 ) ) )
& ( ( irel @ X116 @ ( esk10_2 @ X114 @ X116 ) )
| ~ ( irel @ X116 @ X118 )
| ( p4 @ X118 )
| ~ ( irel @ X114 @ X116 )
| ~ ( p5 @ ( esk9_1 @ X114 ) ) )
& ( ~ ( p5 @ ( esk10_2 @ X114 @ X116 ) )
| ~ ( irel @ X116 @ X118 )
| ( p4 @ X118 )
| ~ ( irel @ X114 @ X116 )
| ~ ( p5 @ ( esk9_1 @ X114 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])])])]) ).
thf(c_0_64,plain,
! [X2: $i,X1: $i] :
( ( p5 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_38]) ).
thf(c_0_65,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p4 @ X3 )
| ~ ( p5 @ ( esk10_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p5 @ ( esk9_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
thf(c_0_66,plain,
! [X1: $i] : ( p5 @ X1 ),
inference(spm,[status(thm)],[c_0_64,c_0_38]) ).
thf(c_0_67,plain,
! [X57: $i] :
( ~ ! [X55: $i] :
( ( irel @ X57 @ X55 )
=> ( p4 @ X55 ) )
| ! [X56: $i] :
( ( irel @ X57 @ X56 )
=> ( ~ ! [X53: $i] :
( ( irel @ X56 @ X53 )
=> ( p4 @ X53 ) )
| ! [X54: $i] :
( ( irel @ X56 @ X54 )
=> ( p3 @ X54 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom5,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_68,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p4 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66])]) ).
thf(c_0_69,plain,
! [X109: $i,X111: $i,X113: $i] :
( ( ( irel @ X111 @ ( esk8_2 @ X109 @ X111 ) )
| ~ ( irel @ X111 @ X113 )
| ( p3 @ X113 )
| ~ ( irel @ X109 @ X111 )
| ( irel @ X109 @ ( esk7_1 @ X109 ) ) )
& ( ~ ( p4 @ ( esk8_2 @ X109 @ X111 ) )
| ~ ( irel @ X111 @ X113 )
| ( p3 @ X113 )
| ~ ( irel @ X109 @ X111 )
| ( irel @ X109 @ ( esk7_1 @ X109 ) ) )
& ( ( irel @ X111 @ ( esk8_2 @ X109 @ X111 ) )
| ~ ( irel @ X111 @ X113 )
| ( p3 @ X113 )
| ~ ( irel @ X109 @ X111 )
| ~ ( p4 @ ( esk7_1 @ X109 ) ) )
& ( ~ ( p4 @ ( esk8_2 @ X109 @ X111 ) )
| ~ ( irel @ X111 @ X113 )
| ( p3 @ X113 )
| ~ ( irel @ X109 @ X111 )
| ~ ( p4 @ ( esk7_1 @ X109 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])])])]) ).
thf(c_0_70,plain,
! [X2: $i,X1: $i] :
( ( p4 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_38]) ).
thf(c_0_71,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p3 @ X3 )
| ~ ( p4 @ ( esk8_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p4 @ ( esk7_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_72,plain,
! [X1: $i] : ( p4 @ X1 ),
inference(spm,[status(thm)],[c_0_70,c_0_38]) ).
thf(c_0_73,plain,
! [X52: $i] :
( ~ ! [X50: $i] :
( ( irel @ X52 @ X50 )
=> ( p3 @ X50 ) )
| ! [X51: $i] :
( ( irel @ X52 @ X51 )
=> ( ~ ! [X48: $i] :
( ( irel @ X51 @ X48 )
=> ( p3 @ X48 ) )
| ! [X49: $i] :
( ( irel @ X51 @ X49 )
=> ( p2 @ X49 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom4,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_74,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p3 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_72])]) ).
thf(c_0_75,plain,
! [X104: $i,X106: $i,X108: $i] :
( ( ( irel @ X106 @ ( esk6_2 @ X104 @ X106 ) )
| ~ ( irel @ X106 @ X108 )
| ( p2 @ X108 )
| ~ ( irel @ X104 @ X106 )
| ( irel @ X104 @ ( esk5_1 @ X104 ) ) )
& ( ~ ( p3 @ ( esk6_2 @ X104 @ X106 ) )
| ~ ( irel @ X106 @ X108 )
| ( p2 @ X108 )
| ~ ( irel @ X104 @ X106 )
| ( irel @ X104 @ ( esk5_1 @ X104 ) ) )
& ( ( irel @ X106 @ ( esk6_2 @ X104 @ X106 ) )
| ~ ( irel @ X106 @ X108 )
| ( p2 @ X108 )
| ~ ( irel @ X104 @ X106 )
| ~ ( p3 @ ( esk5_1 @ X104 ) ) )
& ( ~ ( p3 @ ( esk6_2 @ X104 @ X106 ) )
| ~ ( irel @ X106 @ X108 )
| ( p2 @ X108 )
| ~ ( irel @ X104 @ X106 )
| ~ ( p3 @ ( esk5_1 @ X104 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])])])]) ).
thf(c_0_76,plain,
! [X2: $i,X1: $i] :
( ( p3 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_38]) ).
thf(c_0_77,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p2 @ X3 )
| ~ ( p3 @ ( esk6_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p3 @ ( esk5_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
thf(c_0_78,plain,
! [X1: $i] : ( p3 @ X1 ),
inference(spm,[status(thm)],[c_0_76,c_0_38]) ).
thf(c_0_79,plain,
! [X47: $i] :
( ~ ! [X45: $i] :
( ( irel @ X47 @ X45 )
=> ( p2 @ X45 ) )
| ! [X46: $i] :
( ( irel @ X47 @ X46 )
=> ( ~ ! [X43: $i] :
( ( irel @ X46 @ X43 )
=> ( p2 @ X43 ) )
| ! [X44: $i] :
( ( irel @ X46 @ X44 )
=> ( p1 @ X44 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom3,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_80,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p2 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78]),c_0_78])]) ).
thf(c_0_81,plain,
! [X99: $i,X101: $i,X103: $i] :
( ( ( irel @ X101 @ ( esk4_2 @ X99 @ X101 ) )
| ~ ( irel @ X101 @ X103 )
| ( p1 @ X103 )
| ~ ( irel @ X99 @ X101 )
| ( irel @ X99 @ ( esk3_1 @ X99 ) ) )
& ( ~ ( p2 @ ( esk4_2 @ X99 @ X101 ) )
| ~ ( irel @ X101 @ X103 )
| ( p1 @ X103 )
| ~ ( irel @ X99 @ X101 )
| ( irel @ X99 @ ( esk3_1 @ X99 ) ) )
& ( ( irel @ X101 @ ( esk4_2 @ X99 @ X101 ) )
| ~ ( irel @ X101 @ X103 )
| ( p1 @ X103 )
| ~ ( irel @ X99 @ X101 )
| ~ ( p2 @ ( esk3_1 @ X99 ) ) )
& ( ~ ( p2 @ ( esk4_2 @ X99 @ X101 ) )
| ~ ( irel @ X101 @ X103 )
| ( p1 @ X103 )
| ~ ( irel @ X99 @ X101 )
| ~ ( p2 @ ( esk3_1 @ X99 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])])])]) ).
thf(c_0_82,plain,
! [X2: $i,X1: $i] :
( ( p2 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_80,c_0_38]) ).
thf(c_0_83,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p1 @ X3 )
| ~ ( p2 @ ( esk4_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p2 @ ( esk3_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_84,plain,
! [X1: $i] : ( p2 @ X1 ),
inference(spm,[status(thm)],[c_0_82,c_0_38]) ).
thf(c_0_85,plain,
! [X42: $i] :
( ~ ! [X40: $i] :
( ( irel @ X42 @ X40 )
=> ( p1 @ X40 ) )
| ! [X41: $i] :
( ( irel @ X42 @ X41 )
=> ( ~ ! [X38: $i] :
( ( irel @ X41 @ X38 )
=> ( p1 @ X38 ) )
| ! [X39: $i] :
( ( irel @ X41 @ X39 )
=> ( p0 @ X39 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom2,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_86,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p1 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_84])]) ).
thf(c_0_87,plain,
! [X94: $i,X96: $i,X98: $i] :
( ( ( irel @ X96 @ ( esk2_2 @ X94 @ X96 ) )
| ~ ( irel @ X96 @ X98 )
| ( p0 @ X98 )
| ~ ( irel @ X94 @ X96 )
| ( irel @ X94 @ ( esk1_1 @ X94 ) ) )
& ( ~ ( p1 @ ( esk2_2 @ X94 @ X96 ) )
| ~ ( irel @ X96 @ X98 )
| ( p0 @ X98 )
| ~ ( irel @ X94 @ X96 )
| ( irel @ X94 @ ( esk1_1 @ X94 ) ) )
& ( ( irel @ X96 @ ( esk2_2 @ X94 @ X96 ) )
| ~ ( irel @ X96 @ X98 )
| ( p0 @ X98 )
| ~ ( irel @ X94 @ X96 )
| ~ ( p1 @ ( esk1_1 @ X94 ) ) )
& ( ~ ( p1 @ ( esk2_2 @ X94 @ X96 ) )
| ~ ( irel @ X96 @ X98 )
| ( p0 @ X98 )
| ~ ( irel @ X94 @ X96 )
| ~ ( p1 @ ( esk1_1 @ X94 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])])])]) ).
thf(c_0_88,plain,
! [X2: $i,X1: $i] :
( ( p1 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_38]) ).
thf(c_0_89,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( p0 @ X3 )
| ~ ( p1 @ ( esk2_2 @ X1 @ X2 ) )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( p1 @ ( esk1_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
thf(c_0_90,plain,
! [X1: $i] : ( p1 @ X1 ),
inference(spm,[status(thm)],[c_0_88,c_0_38]) ).
thf(c_0_91,negated_conjecture,
~ ! [X88: $i] : ( p0 @ X88 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[con]),c_0_26]),c_0_28]) ).
thf(c_0_92,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( p0 @ X1 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X3 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90]),c_0_90])]) ).
thf(c_0_93,negated_conjecture,
~ ( p0 @ esk21_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])]) ).
thf(c_0_94,plain,
! [X2: $i,X1: $i] :
( ( p0 @ X1 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_92,c_0_38]) ).
thf(c_0_95,negated_conjecture,
~ ( p0 @ esk21_0 ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
thf(c_0_96,plain,
! [X1: $i] : ( p0 @ X1 ),
inference(spm,[status(thm)],[c_0_94,c_0_38]) ).
thf(c_0_97,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYO068^4.010 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 10:38:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.48 Running higher-order theorem proving
% 0.19/0.48 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.7GBvHveN1H/E---3.1_23862.p
% 0.19/0.51 # Version: 3.2.0-ho
% 0.19/0.51 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.51 # Starting post_as_ho3 with 300s (1) cores
% 0.19/0.51 # Starting post_as_ho11 with 300s (1) cores
% 0.19/0.51 # Starting full_lambda_8 with 300s (1) cores
% 0.19/0.51 # new_ho_10_cnf2 with pid 23940 completed with status 0
% 0.19/0.51 # Result found by new_ho_10_cnf2
% 0.19/0.51 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.51 # No SInE strategy applied
% 0.19/0.51 # Search class: HGUNS-FFMF21-SHSSMFNN
% 0.19/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.51 # Starting new_ho_10 with 811s (1) cores
% 0.19/0.51 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.19/0.51 # Starting ho_unfolding_6 with 136s (1) cores
% 0.19/0.51 # Starting sh4l with 136s (1) cores
% 0.19/0.51 # Starting ehoh_best_nonlift_rwall with 136s (1) cores
% 0.19/0.51 # ho_unfolding_6 with pid 23949 completed with status 0
% 0.19/0.51 # Result found by ho_unfolding_6
% 0.19/0.51 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.51 # No SInE strategy applied
% 0.19/0.51 # Search class: HGUNS-FFMF21-SHSSMFNN
% 0.19/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.51 # Starting new_ho_10 with 811s (1) cores
% 0.19/0.51 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.19/0.51 # Starting ho_unfolding_6 with 136s (1) cores
% 0.19/0.51 # Preprocessing time : 0.004 s
% 0.19/0.51
% 0.19/0.51 # Proof found!
% 0.19/0.51 # SZS status Theorem
% 0.19/0.51 # SZS output start CNFRefutation
% See solution above
% 0.19/0.51 # Parsed axioms : 64
% 0.19/0.51 # Removed by relevancy pruning/SinE : 0
% 0.19/0.51 # Initial clauses : 75
% 0.19/0.51 # Removed in clause preprocessing : 31
% 0.19/0.51 # Initial clauses in saturation : 44
% 0.19/0.51 # Processed clauses : 77
% 0.19/0.51 # ...of these trivial : 4
% 0.19/0.51 # ...subsumed : 3
% 0.19/0.51 # ...remaining for further processing : 70
% 0.19/0.51 # Other redundant clauses eliminated : 0
% 0.19/0.51 # Clauses deleted for lack of memory : 0
% 0.19/0.51 # Backward-subsumed : 29
% 0.19/0.51 # Backward-rewritten : 28
% 0.19/0.51 # Generated clauses : 30
% 0.19/0.51 # ...of the previous two non-redundant : 56
% 0.19/0.51 # ...aggressively subsumed : 0
% 0.19/0.51 # Contextual simplify-reflections : 0
% 0.19/0.51 # Paramodulations : 30
% 0.19/0.51 # Factorizations : 0
% 0.19/0.51 # NegExts : 0
% 0.19/0.51 # Equation resolutions : 0
% 0.19/0.51 # Disequality decompositions : 0
% 0.19/0.51 # Total rewrite steps : 45
% 0.19/0.51 # ...of those cached : 0
% 0.19/0.51 # Propositional unsat checks : 0
% 0.19/0.51 # Propositional check models : 0
% 0.19/0.51 # Propositional check unsatisfiable : 0
% 0.19/0.51 # Propositional clauses : 0
% 0.19/0.51 # Propositional clauses after purity: 0
% 0.19/0.51 # Propositional unsat core size : 0
% 0.19/0.51 # Propositional preprocessing time : 0.000
% 0.19/0.51 # Propositional encoding time : 0.000
% 0.19/0.51 # Propositional solver time : 0.000
% 0.19/0.51 # Success case prop preproc time : 0.000
% 0.19/0.51 # Success case prop encoding time : 0.000
% 0.19/0.51 # Success case prop solver time : 0.000
% 0.19/0.51 # Current number of processed clauses : 13
% 0.19/0.51 # Positive orientable unit clauses : 12
% 0.19/0.51 # Positive unorientable unit clauses: 0
% 0.19/0.51 # Negative unit clauses : 0
% 0.19/0.51 # Non-unit-clauses : 1
% 0.19/0.51 # Current number of unprocessed clauses: 23
% 0.19/0.51 # ...number of literals in the above : 92
% 0.19/0.51 # Current number of archived formulas : 0
% 0.19/0.51 # Current number of archived clauses : 57
% 0.19/0.51 # Clause-clause subsumption calls (NU) : 531
% 0.19/0.51 # Rec. Clause-clause subsumption calls : 149
% 0.19/0.51 # Non-unit clause-clause subsumptions : 22
% 0.19/0.51 # Unit Clause-clause subsumption calls : 116
% 0.19/0.51 # Rewrite failures with RHS unbound : 0
% 0.19/0.51 # BW rewrite match attempts : 38
% 0.19/0.51 # BW rewrite match successes : 38
% 0.19/0.51 # Condensation attempts : 77
% 0.19/0.51 # Condensation successes : 0
% 0.19/0.51 # Termbank termtop insertions : 9783
% 0.19/0.51 # Search garbage collected termcells : 2253
% 0.19/0.51
% 0.19/0.51 # -------------------------------------------------
% 0.19/0.51 # User time : 0.015 s
% 0.19/0.51 # System time : 0.004 s
% 0.19/0.51 # Total time : 0.020 s
% 0.19/0.51 # Maximum resident set size: 2300 pages
% 0.19/0.51
% 0.19/0.51 # -------------------------------------------------
% 0.19/0.51 # User time : 0.041 s
% 0.19/0.51 # System time : 0.021 s
% 0.19/0.51 # Total time : 0.062 s
% 0.19/0.51 # Maximum resident set size: 1768 pages
% 0.19/0.51 % E---3.1 exiting
% 0.19/0.51 % E exiting
%------------------------------------------------------------------------------