TSTP Solution File: SYO066^4.002 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO066^4.002 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 : Tue May 21 08:44:30 EDT 2024
% Result : Theorem 0.60s 0.62s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 37
% Syntax : Number of formulae : 121 ( 48 unt; 25 typ; 0 def)
% Number of atoms : 283 ( 16 equ; 0 cnn)
% Maximal formula atoms : 36 ( 2 avg)
% Number of connectives : 550 ( 61 ~; 76 |; 26 &; 364 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 12 con; 0-3 aty)
% Number of variables : 105 ( 36 ^ 69 !; 0 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
irel: $i > $i > $o ).
thf(decl_24,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_25,type,
mand: ( $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_32,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_33,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_38,type,
ivalid: ( $i > $o ) > $o ).
thf(decl_42,type,
o11: $i > $o ).
thf(decl_43,type,
o12: $i > $o ).
thf(decl_44,type,
o21: $i > $o ).
thf(decl_45,type,
o22: $i > $o ).
thf(decl_46,type,
o31: $i > $o ).
thf(decl_47,type,
o32: $i > $o ).
thf(decl_48,type,
esk1_0: $i ).
thf(decl_49,type,
esk2_0: $i ).
thf(decl_50,type,
esk3_0: $i ).
thf(decl_51,type,
esk4_0: $i ).
thf(decl_52,type,
esk5_0: $i ).
thf(decl_53,type,
esk6_0: $i ).
thf(decl_54,type,
esk7_0: $i ).
thf(decl_55,type,
esk8_0: $i ).
thf(decl_56,type,
esk9_0: $i ).
thf(decl_57,type,
esk10_0: $i ).
thf(decl_58,type,
esk11_0: $i ).
thf(iand,axiom,
( iand
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mand @ X12 @ X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',iand) ).
thf(mand,axiom,
( mand
= ( ^ [X8: $i > $o,X9: $i > $o,X5: $i] :
( ( X8 @ X5 )
& ( X9 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',mand) ).
thf(ior,axiom,
( ior
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mor @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',ior) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X5: $i] :
( ( X6 @ X5 )
| ( X7 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',mor) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X12: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X12 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',mbox_s4) ).
thf(iatom,axiom,
( iatom
= ( ^ [X12: $i > $o] : X12 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',iatom) ).
thf(ivalid,axiom,
( ivalid
= ( ^ [X15: $i > $o] :
! [X13: $i] : ( X15 @ X13 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',ivalid) ).
thf(con,conjecture,
ivalid @ ( ior @ ( iand @ ( iatom @ o11 ) @ ( iatom @ o21 ) ) @ ( ior @ ( iand @ ( iatom @ o11 ) @ ( iatom @ o31 ) ) @ ( ior @ ( iand @ ( iatom @ o21 ) @ ( iatom @ o31 ) ) @ ( ior @ ( iand @ ( iatom @ o12 ) @ ( iatom @ o22 ) ) @ ( ior @ ( iand @ ( iatom @ o12 ) @ ( iatom @ o32 ) ) @ ( iand @ ( iatom @ o22 ) @ ( iatom @ o32 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(trans_axiom,axiom,
! [X1: $i,X2: $i,X3: $i] :
( ( ( irel @ X1 @ X2 )
& ( irel @ X2 @ X3 ) )
=> ( irel @ X1 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',trans_axiom) ).
thf(axiom3,axiom,
ivalid @ ( ior @ ( iatom @ o31 ) @ ( iatom @ o32 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom3) ).
thf(axiom2,axiom,
ivalid @ ( ior @ ( iatom @ o21 ) @ ( iatom @ o22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom2) ).
thf(axiom1,axiom,
ivalid @ ( ior @ ( iatom @ o11 ) @ ( iatom @ o12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
thf(c_0_12,plain,
( iand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[iand]) ).
thf(c_0_13,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_14,plain,
( ior
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ! [X22: $i] :
( ( irel @ Z2 @ X22 )
=> ( Z0 @ X22 ) )
| ! [X23: $i] :
( ( irel @ Z2 @ X23 )
=> ( Z1 @ X23 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[ior]) ).
thf(c_0_15,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_16,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_17,plain,
( iatom
= ( ^ [Z0: $i > $o] : Z0 ) ),
inference(fof_simplification,[status(thm)],[iatom]) ).
thf(c_0_18,plain,
( iand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_19,plain,
( ior
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ! [X22: $i] :
( ( irel @ Z2 @ X22 )
=> ( Z0 @ X22 ) )
| ! [X23: $i] :
( ( irel @ Z2 @ X23 )
=> ( Z1 @ X23 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
thf(c_0_20,plain,
( ivalid
= ( ^ [Z0: $i > $o] :
! [X13: $i] : ( Z0 @ X13 ) ) ),
inference(fof_simplification,[status(thm)],[ivalid]) ).
thf(c_0_21,negated_conjecture,
~ ! [X56: $i] :
( ! [X54: $i] :
( ( irel @ X56 @ X54 )
=> ( ( o11 @ X54 )
& ( o21 @ X54 ) ) )
| ! [X55: $i] :
( ( irel @ X56 @ X55 )
=> ( ! [X52: $i] :
( ( irel @ X55 @ X52 )
=> ( ( o11 @ X52 )
& ( o31 @ X52 ) ) )
| ! [X53: $i] :
( ( irel @ X55 @ X53 )
=> ( ! [X50: $i] :
( ( irel @ X53 @ X50 )
=> ( ( o21 @ X50 )
& ( o31 @ X50 ) ) )
| ! [X51: $i] :
( ( irel @ X53 @ X51 )
=> ( ! [X48: $i] :
( ( irel @ X51 @ X48 )
=> ( ( o12 @ X48 )
& ( o22 @ X48 ) ) )
| ! [X49: $i] :
( ( irel @ X51 @ X49 )
=> ( ! [X46: $i] :
( ( irel @ X49 @ X46 )
=> ( ( o12 @ X46 )
& ( o32 @ X46 ) ) )
| ! [X47: $i] :
( ( irel @ X49 @ X47 )
=> ( ( o22 @ X47 )
& ( o32 @ X47 ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[con]),c_0_17]),c_0_18]),c_0_19]),c_0_20]) ).
thf(c_0_22,plain,
! [X58: $i,X59: $i,X60: $i] :
( ~ ( irel @ X58 @ X59 )
| ~ ( irel @ X59 @ X60 )
| ( irel @ X58 @ X60 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])]) ).
thf(c_0_23,negated_conjecture,
( ( irel @ esk1_0 @ esk2_0 )
& ( ~ ( o11 @ esk2_0 )
| ~ ( o21 @ esk2_0 ) )
& ( irel @ esk1_0 @ esk3_0 )
& ( irel @ esk3_0 @ esk4_0 )
& ( ~ ( o11 @ esk4_0 )
| ~ ( o31 @ esk4_0 ) )
& ( irel @ esk3_0 @ esk5_0 )
& ( irel @ esk5_0 @ esk6_0 )
& ( ~ ( o21 @ esk6_0 )
| ~ ( o31 @ esk6_0 ) )
& ( irel @ esk5_0 @ esk7_0 )
& ( irel @ esk7_0 @ esk8_0 )
& ( ~ ( o12 @ esk8_0 )
| ~ ( o22 @ esk8_0 ) )
& ( irel @ esk7_0 @ esk9_0 )
& ( irel @ esk9_0 @ esk10_0 )
& ( ~ ( o12 @ esk10_0 )
| ~ ( o32 @ esk10_0 ) )
& ( irel @ esk9_0 @ esk11_0 )
& ( ~ ( o22 @ esk11_0 )
| ~ ( o32 @ esk11_0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
thf(c_0_24,plain,
! [X1: $i,X2: $i,X3: $i] :
( ( irel @ X1 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_25,negated_conjecture,
irel @ esk5_0 @ esk7_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_26,negated_conjecture,
irel @ esk7_0 @ esk9_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_27,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk7_0 )
| ~ ( irel @ X1 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_28,negated_conjecture,
irel @ esk3_0 @ esk5_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_29,plain,
! [X45: $i] :
( ! [X43: $i] :
( ( irel @ X45 @ X43 )
=> ( o31 @ X43 ) )
| ! [X44: $i] :
( ( irel @ X45 @ X44 )
=> ( o32 @ X44 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom3,c_0_17]),c_0_19]),c_0_20]) ).
thf(c_0_30,negated_conjecture,
irel @ esk9_0 @ esk11_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
thf(c_0_32,negated_conjecture,
irel @ esk3_0 @ esk7_0,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_33,plain,
! [X42: $i] :
( ! [X40: $i] :
( ( irel @ X42 @ X40 )
=> ( o21 @ X40 ) )
| ! [X41: $i] :
( ( irel @ X42 @ X41 )
=> ( o22 @ X41 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom2,c_0_17]),c_0_19]),c_0_20]) ).
thf(c_0_34,negated_conjecture,
irel @ esk7_0 @ esk8_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_35,plain,
! [X67: $i,X68: $i,X69: $i] :
( ~ ( irel @ X67 @ X68 )
| ( o31 @ X68 )
| ~ ( irel @ X67 @ X69 )
| ( o32 @ X69 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
thf(c_0_36,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk11_0 )
| ~ ( irel @ X1 @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
thf(c_0_37,negated_conjecture,
irel @ esk3_0 @ esk9_0,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_38,plain,
! [X64: $i,X65: $i,X66: $i] :
( ~ ( irel @ X64 @ X65 )
| ( o21 @ X65 )
| ~ ( irel @ X64 @ X66 )
| ( o22 @ X66 ) ),
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_39,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_34]) ).
thf(c_0_40,plain,
! [X39: $i] :
( ! [X37: $i] :
( ( irel @ X39 @ X37 )
=> ( o11 @ X37 ) )
| ! [X38: $i] :
( ( irel @ X39 @ X38 )
=> ( o12 @ X38 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom1,c_0_17]),c_0_19]),c_0_20]) ).
thf(c_0_41,plain,
! [X1: $i,X2: $i,X3: $i] :
( ( o31 @ X2 )
| ( o32 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_42,negated_conjecture,
irel @ esk3_0 @ esk11_0,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_43,negated_conjecture,
irel @ esk5_0 @ esk9_0,
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
thf(c_0_44,plain,
! [X1: $i,X2: $i,X3: $i] :
( ( o21 @ X2 )
| ( o22 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_45,negated_conjecture,
irel @ esk5_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_39,c_0_25]) ).
thf(c_0_46,plain,
! [X61: $i,X62: $i,X63: $i] :
( ~ ( irel @ X61 @ X62 )
| ( o11 @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( o12 @ X63 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
thf(c_0_47,negated_conjecture,
! [X1: $i] :
( ( o32 @ esk11_0 )
| ( o31 @ X1 )
| ~ ( irel @ esk3_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
thf(c_0_48,negated_conjecture,
irel @ esk3_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_49,negated_conjecture,
irel @ esk5_0 @ esk11_0,
inference(spm,[status(thm)],[c_0_36,c_0_43]) ).
thf(c_0_50,negated_conjecture,
! [X1: $i] :
( ( o22 @ esk8_0 )
| ( o21 @ X1 )
| ~ ( irel @ esk5_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_51,negated_conjecture,
irel @ esk5_0 @ esk6_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_52,plain,
! [X1: $i,X2: $i,X3: $i] :
( ( o11 @ X2 )
| ( o12 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_53,negated_conjecture,
irel @ esk3_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_39,c_0_32]) ).
thf(c_0_54,negated_conjecture,
( ~ ( o22 @ esk11_0 )
| ~ ( o32 @ esk11_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_55,negated_conjecture,
( ( o31 @ esk4_0 )
| ( o32 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_56,negated_conjecture,
! [X1: $i] :
( ( o22 @ esk11_0 )
| ( o21 @ X1 )
| ~ ( irel @ esk5_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_49]) ).
thf(c_0_57,negated_conjecture,
( ~ ( o12 @ esk8_0 )
| ~ ( o22 @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_58,negated_conjecture,
( ( o21 @ esk6_0 )
| ( o22 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_59,negated_conjecture,
! [X1: $i] :
( ( o12 @ esk8_0 )
| ( o11 @ X1 )
| ~ ( irel @ esk3_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_60,negated_conjecture,
( ( o31 @ esk4_0 )
| ~ ( o22 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_61,negated_conjecture,
( ( o21 @ esk6_0 )
| ( o22 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_51]) ).
thf(c_0_62,negated_conjecture,
( ( o21 @ esk6_0 )
| ~ ( o12 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
thf(c_0_63,negated_conjecture,
( ( o11 @ esk4_0 )
| ( o12 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_48]) ).
thf(c_0_64,negated_conjecture,
irel @ esk9_0 @ esk10_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_65,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk5_0 )
| ~ ( irel @ X1 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
thf(c_0_66,negated_conjecture,
irel @ esk1_0 @ esk3_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_67,negated_conjecture,
( ~ ( o11 @ esk4_0 )
| ~ ( o31 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_68,negated_conjecture,
( ( o21 @ esk6_0 )
| ( o31 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_69,negated_conjecture,
( ( o11 @ esk4_0 )
| ( o21 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
thf(c_0_70,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk10_0 )
| ~ ( irel @ X1 @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_64]) ).
thf(c_0_71,negated_conjecture,
irel @ esk1_0 @ esk5_0,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
thf(c_0_72,negated_conjecture,
! [X1: $i] :
( ( o32 @ esk11_0 )
| ( o31 @ X1 )
| ~ ( irel @ esk5_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_49]) ).
thf(c_0_73,negated_conjecture,
( ~ ( o21 @ esk6_0 )
| ~ ( o31 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_74,negated_conjecture,
o21 @ esk6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
thf(c_0_75,negated_conjecture,
irel @ esk5_0 @ esk10_0,
inference(spm,[status(thm)],[c_0_70,c_0_43]) ).
thf(c_0_76,negated_conjecture,
irel @ esk1_0 @ esk7_0,
inference(spm,[status(thm)],[c_0_27,c_0_71]) ).
thf(c_0_77,negated_conjecture,
( ( o31 @ esk6_0 )
| ( o32 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_51]) ).
thf(c_0_78,negated_conjecture,
~ ( o31 @ esk6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
thf(c_0_79,negated_conjecture,
! [X1: $i] :
( ( o32 @ esk10_0 )
| ( o31 @ X1 )
| ~ ( irel @ esk5_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_75]) ).
thf(c_0_80,negated_conjecture,
irel @ esk1_0 @ esk9_0,
inference(spm,[status(thm)],[c_0_31,c_0_76]) ).
thf(c_0_81,negated_conjecture,
o32 @ esk11_0,
inference(sr,[status(thm)],[c_0_77,c_0_78]) ).
thf(c_0_82,negated_conjecture,
( ( o31 @ esk6_0 )
| ( o32 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_51]) ).
thf(c_0_83,negated_conjecture,
irel @ esk1_0 @ esk11_0,
inference(spm,[status(thm)],[c_0_36,c_0_80]) ).
thf(c_0_84,negated_conjecture,
~ ( o22 @ esk11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_81])]) ).
thf(c_0_85,negated_conjecture,
( ~ ( o12 @ esk10_0 )
| ~ ( o32 @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_86,negated_conjecture,
o32 @ esk10_0,
inference(sr,[status(thm)],[c_0_82,c_0_78]) ).
thf(c_0_87,negated_conjecture,
! [X1: $i] :
( ( o21 @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_83]),c_0_84]) ).
thf(c_0_88,negated_conjecture,
irel @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_89,negated_conjecture,
irel @ esk1_0 @ esk10_0,
inference(spm,[status(thm)],[c_0_70,c_0_80]) ).
thf(c_0_90,negated_conjecture,
~ ( o12 @ esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
thf(c_0_91,negated_conjecture,
( ~ ( o11 @ esk2_0 )
| ~ ( o21 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_92,negated_conjecture,
o21 @ esk2_0,
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
thf(c_0_93,negated_conjecture,
! [X1: $i] :
( ( o11 @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_89]),c_0_90]) ).
thf(c_0_94,negated_conjecture,
~ ( o11 @ esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
thf(c_0_95,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_88]),c_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SYO066^4.002 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n028.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 09:10:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running higher-order theorem proving
% 0.22/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.62 # Version: 3.1.0-ho
% 0.60/0.62 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.60/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.60/0.62 # Starting post_as_ho3 with 300s (1) cores
% 0.60/0.62 # Starting post_as_ho11 with 300s (1) cores
% 0.60/0.62 # Starting full_lambda_8 with 300s (1) cores
% 0.60/0.62 # new_ho_10_cnf2 with pid 3214 completed with status 0
% 0.60/0.62 # Result found by new_ho_10_cnf2
% 0.60/0.62 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.60/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.60/0.62 # No SInE strategy applied
% 0.60/0.62 # Search class: HGHNF-FFSM00-SHSSMFNN
% 0.60/0.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.60/0.62 # Starting new_ho_10 with 811s (1) cores
% 0.60/0.62 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.60/0.62 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.60/0.62 # Starting lpo1_def_fix with 136s (1) cores
% 0.60/0.62 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.60/0.62 # ehoh_best8_lambda with pid 3225 completed with status 0
% 0.60/0.62 # Result found by ehoh_best8_lambda
% 0.60/0.62 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.60/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.60/0.62 # No SInE strategy applied
% 0.60/0.62 # Search class: HGHNF-FFSM00-SHSSMFNN
% 0.60/0.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.60/0.62 # Starting new_ho_10 with 811s (1) cores
% 0.60/0.62 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.60/0.62 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.60/0.62 # Starting lpo1_def_fix with 136s (1) cores
% 0.60/0.62 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.60/0.62 # Preprocessing time : 0.001 s
% 0.60/0.62 # Presaturation interreduction done
% 0.60/0.62
% 0.60/0.62 # Proof found!
% 0.60/0.62 # SZS status Theorem
% 0.60/0.62 # SZS output start CNFRefutation
% See solution above
% 0.60/0.62 # Parsed axioms : 51
% 0.60/0.62 # Removed by relevancy pruning/SinE : 0
% 0.60/0.62 # Initial clauses : 47
% 0.60/0.62 # Removed in clause preprocessing : 26
% 0.60/0.62 # Initial clauses in saturation : 21
% 0.60/0.62 # Processed clauses : 1038
% 0.60/0.62 # ...of these trivial : 47
% 0.60/0.62 # ...subsumed : 234
% 0.60/0.62 # ...remaining for further processing : 757
% 0.60/0.62 # Other redundant clauses eliminated : 0
% 0.60/0.62 # Clauses deleted for lack of memory : 0
% 0.60/0.62 # Backward-subsumed : 154
% 0.60/0.62 # Backward-rewritten : 425
% 0.60/0.62 # Generated clauses : 1256
% 0.60/0.62 # ...of the previous two non-redundant : 1121
% 0.60/0.62 # ...aggressively subsumed : 0
% 0.60/0.62 # Contextual simplify-reflections : 15
% 0.60/0.62 # Paramodulations : 1243
% 0.60/0.62 # Factorizations : 0
% 0.60/0.62 # NegExts : 0
% 0.60/0.62 # Equation resolutions : 0
% 0.60/0.62 # Disequality decompositions : 0
% 0.60/0.62 # Total rewrite steps : 611
% 0.60/0.62 # ...of those cached : 543
% 0.60/0.62 # Propositional unsat checks : 0
% 0.60/0.62 # Propositional check models : 0
% 0.60/0.62 # Propositional check unsatisfiable : 0
% 0.60/0.62 # Propositional clauses : 0
% 0.60/0.62 # Propositional clauses after purity: 0
% 0.60/0.62 # Propositional unsat core size : 0
% 0.60/0.62 # Propositional preprocessing time : 0.000
% 0.60/0.62 # Propositional encoding time : 0.000
% 0.60/0.62 # Propositional solver time : 0.000
% 0.60/0.62 # Success case prop preproc time : 0.000
% 0.60/0.62 # Success case prop encoding time : 0.000
% 0.60/0.62 # Success case prop solver time : 0.000
% 0.60/0.62 # Current number of processed clauses : 144
% 0.60/0.62 # Positive orientable unit clauses : 70
% 0.60/0.62 # Positive unorientable unit clauses: 0
% 0.60/0.62 # Negative unit clauses : 6
% 0.60/0.62 # Non-unit-clauses : 68
% 0.60/0.62 # Current number of unprocessed clauses: 3
% 0.60/0.62 # ...number of literals in the above : 9
% 0.60/0.62 # Current number of archived formulas : 0
% 0.60/0.62 # Current number of archived clauses : 613
% 0.60/0.62 # Clause-clause subsumption calls (NU) : 124257
% 0.60/0.62 # Rec. Clause-clause subsumption calls : 112368
% 0.60/0.62 # Non-unit clause-clause subsumptions : 280
% 0.60/0.62 # Unit Clause-clause subsumption calls : 6162
% 0.60/0.62 # Rewrite failures with RHS unbound : 0
% 0.60/0.62 # BW rewrite match attempts : 43
% 0.60/0.62 # BW rewrite match successes : 38
% 0.60/0.62 # Condensation attempts : 0
% 0.60/0.62 # Condensation successes : 0
% 0.60/0.62 # Termbank termtop insertions : 15323
% 0.60/0.62 # Search garbage collected termcells : 1129
% 0.60/0.62
% 0.60/0.62 # -------------------------------------------------
% 0.60/0.62 # User time : 0.082 s
% 0.60/0.62 # System time : 0.005 s
% 0.60/0.62 # Total time : 0.087 s
% 0.60/0.62 # Maximum resident set size: 1992 pages
% 0.60/0.62
% 0.60/0.62 # -------------------------------------------------
% 0.60/0.62 # User time : 0.378 s
% 0.60/0.62 # System time : 0.015 s
% 0.60/0.62 # Total time : 0.393 s
% 0.60/0.62 # Maximum resident set size: 1784 pages
% 0.60/0.62 % E---3.1 exiting
% 0.60/0.62 % E exiting
%------------------------------------------------------------------------------