TSTP Solution File: SYO062^4.004 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO062^4.004 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 08:44:28 EDT 2024
% Result : Theorem 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 33
% Syntax : Number of formulae : 88 ( 25 unt; 21 typ; 0 def)
% Number of atoms : 241 ( 21 equ; 0 cnn)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 705 ( 110 ~; 96 |; 17 &; 462 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 2 con; 0-3 aty)
% Number of variables : 136 ( 45 ^ 91 !; 0 ?; 136 :)
% 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_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_29,type,
inot: ( $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,
a: $i > $o ).
thf(decl_43,type,
b: $i > $o ).
thf(decl_44,type,
c: $i > $o ).
thf(decl_45,type,
esk1_0: $i ).
thf(decl_46,type,
esk2_1: $i > $i ).
thf(decl_47,type,
esk3_1: $i > $i ).
thf(decl_48,type,
esk4_1: $i > $i ).
thf(decl_49,type,
esk5_1: $i > $i ).
thf(decl_50,type,
esk6_1: $i > $i ).
thf(decl_51,type,
esk7_1: $i > $i ).
thf(decl_52,type,
esk8_1: $i > $i ).
thf(inot,axiom,
( inot
= ( ^ [X12: $i > $o] : ( mnot @ ( mbox_s4 @ X12 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',inot) ).
thf(mnot,axiom,
( mnot
= ( ^ [X4: $i > $o,X5: $i] :
~ ( X4 @ X5 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mnot) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X12: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X12 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mbox_s4) ).
thf(iand,axiom,
( iand
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mand @ X12 @ X14 ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL010^0.ax',mor) ).
thf(iatom,axiom,
( iatom
= ( ^ [X12: $i > $o] : X12 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iatom) ).
thf(ivalid,axiom,
( ivalid
= ( ^ [X15: $i > $o] :
! [X13: $i] : ( X15 @ X13 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',ivalid) ).
thf(con,conjecture,
ivalid @ ( inot @ ( inot @ ( ior @ ( iand @ ( iatom @ a ) @ ( iand @ ( iatom @ b ) @ ( iatom @ c ) ) ) @ ( ior @ ( inot @ ( iatom @ a ) ) @ ( ior @ ( inot @ ( iatom @ b ) ) @ ( inot @ ( iatom @ c ) ) ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL010^0.ax',trans_axiom) ).
thf(refl_axiom,axiom,
! [X1: $i] : ( irel @ X1 @ X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',refl_axiom) ).
thf(c_0_12,plain,
( inot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ! [X20: $i] :
( ( irel @ Z1 @ X20 )
=> ( Z0 @ X20 ) ) ) ),
inference(fof_simplification,[status(thm)],[inot]) ).
thf(c_0_13,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_14,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_15,plain,
( iand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[iand]) ).
thf(c_0_16,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_17,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_18,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_19,plain,
( iatom
= ( ^ [Z0: $i > $o] : Z0 ) ),
inference(fof_simplification,[status(thm)],[iatom]) ).
thf(c_0_20,plain,
( inot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ! [X20: $i] :
( ( irel @ Z1 @ X20 )
=> ( Z0 @ X20 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
thf(c_0_21,plain,
( iand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_22,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_17,c_0_18]),c_0_14]) ).
thf(c_0_23,plain,
( ivalid
= ( ^ [Z0: $i > $o] :
! [X13: $i] : ( Z0 @ X13 ) ) ),
inference(fof_simplification,[status(thm)],[ivalid]) ).
thf(c_0_24,negated_conjecture,
~ ! [X48: $i] :
~ ! [X47: $i] :
( ( irel @ X48 @ X47 )
=> ~ ! [X46: $i] :
( ( irel @ X47 @ X46 )
=> ( ! [X44: $i] :
( ( irel @ X46 @ X44 )
=> ( ( a @ X44 )
& ( b @ X44 )
& ( c @ X44 ) ) )
| ! [X45: $i] :
( ( irel @ X46 @ X45 )
=> ( ! [X42: $i] :
( ( irel @ X45 @ X42 )
=> ~ ! [X37: $i] :
( ( irel @ X42 @ X37 )
=> ( a @ X37 ) ) )
| ! [X43: $i] :
( ( irel @ X45 @ X43 )
=> ( ! [X40: $i] :
( ( irel @ X43 @ X40 )
=> ~ ! [X38: $i] :
( ( irel @ X40 @ X38 )
=> ( b @ X38 ) ) )
| ! [X41: $i] :
( ( irel @ X43 @ X41 )
=> ~ ! [X39: $i] :
( ( irel @ X41 @ X39 )
=> ( c @ X39 ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[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_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]) ).
thf(c_0_25,plain,
! [X50: $i,X51: $i,X52: $i] :
( ~ ( irel @ X50 @ X51 )
| ~ ( irel @ X51 @ X52 )
| ( irel @ X50 @ X52 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])]) ).
thf(c_0_26,negated_conjecture,
! [X54: $i,X59: $i,X62: $i,X64: $i] :
( ( ( irel @ X54 @ ( esk2_1 @ X54 ) )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ( irel @ ( esk2_1 @ X54 ) @ ( esk3_1 @ X54 ) )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ~ ( a @ ( esk3_1 @ X54 ) )
| ~ ( b @ ( esk3_1 @ X54 ) )
| ~ ( c @ ( esk3_1 @ X54 ) )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ( irel @ ( esk2_1 @ X54 ) @ ( esk4_1 @ X54 ) )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ( irel @ ( esk4_1 @ X54 ) @ ( esk5_1 @ X54 ) )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ~ ( irel @ ( esk5_1 @ X54 ) @ X59 )
| ( a @ X59 )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ( irel @ ( esk4_1 @ X54 ) @ ( esk6_1 @ X54 ) )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ( irel @ ( esk6_1 @ X54 ) @ ( esk7_1 @ X54 ) )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ~ ( irel @ ( esk7_1 @ X54 ) @ X62 )
| ( b @ X62 )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ( irel @ ( esk6_1 @ X54 ) @ ( esk8_1 @ X54 ) )
| ~ ( irel @ esk1_0 @ X54 ) )
& ( ~ ( irel @ ( esk8_1 @ X54 ) @ X64 )
| ( c @ X64 )
| ~ ( irel @ esk1_0 @ X54 ) ) ),
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_24])])])])])]) ).
thf(c_0_27,plain,
! [X1: $i,X2: $i,X3: $i] :
( ( irel @ X1 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_28,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_29,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ X2 )
| ~ ( irel @ ( esk2_1 @ X1 ) @ X2 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_30,negated_conjecture,
! [X1: $i] :
( ( irel @ ( esk2_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk4_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_32,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ X2 )
| ~ ( irel @ ( esk4_1 @ X1 ) @ X2 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_31]) ).
thf(c_0_33,negated_conjecture,
! [X1: $i] :
( ( irel @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_34,negated_conjecture,
! [X2: $i,X1: $i] :
( ( c @ X2 )
| ~ ( irel @ ( esk8_1 @ X1 ) @ X2 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_35,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk6_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_36,negated_conjecture,
! [X1: $i] :
( ~ ( a @ ( esk3_1 @ X1 ) )
| ~ ( b @ ( esk3_1 @ X1 ) )
| ~ ( c @ ( esk3_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_37,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( c @ X1 )
| ~ ( irel @ ( esk8_1 @ X2 ) @ X3 )
| ~ ( irel @ esk1_0 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_27]) ).
thf(c_0_38,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ X2 )
| ~ ( irel @ ( esk6_1 @ X1 ) @ X2 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_35]) ).
thf(c_0_39,negated_conjecture,
! [X1: $i] :
( ( irel @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_40,negated_conjecture,
! [X1: $i] :
( ( irel @ ( esk2_1 @ X1 ) @ ( esk3_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_41,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ~ ( irel @ ( esk8_1 @ X1 ) @ X2 )
| ~ ( irel @ X2 @ ( esk3_1 @ X3 ) )
| ~ ( a @ ( esk3_1 @ X3 ) )
| ~ ( b @ ( esk3_1 @ X3 ) )
| ~ ( irel @ esk1_0 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_42,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk7_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_43,negated_conjecture,
! [X2: $i,X1: $i] :
( ( b @ X2 )
| ~ ( irel @ ( esk7_1 @ X1 ) @ X2 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_44,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_40]) ).
thf(c_0_45,negated_conjecture,
! [X2: $i,X1: $i] :
( ~ ( irel @ ( esk7_1 @ ( esk8_1 @ X1 ) ) @ ( esk3_1 @ X2 ) )
| ~ ( irel @ esk1_0 @ ( esk8_1 @ X1 ) )
| ~ ( a @ ( esk3_1 @ X2 ) )
| ~ ( irel @ esk1_0 @ X2 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
thf(c_0_46,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ ( esk3_1 @ X2 ) )
| ~ ( irel @ esk1_0 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_44]) ).
thf(c_0_47,negated_conjecture,
! [X1: $i] :
( ( irel @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_48,negated_conjecture,
! [X2: $i,X1: $i] :
( ( a @ X2 )
| ~ ( irel @ ( esk5_1 @ X1 ) @ X2 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_49,negated_conjecture,
! [X2: $i,X1: $i] :
( ~ ( irel @ ( esk7_1 @ ( esk8_1 @ X1 ) ) @ X2 )
| ~ ( irel @ esk1_0 @ ( esk8_1 @ X1 ) )
| ~ ( a @ ( esk3_1 @ X2 ) )
| ~ ( irel @ esk1_0 @ X2 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_50,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk5_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
thf(c_0_51,negated_conjecture,
! [X1: $i] :
( ( a @ ( esk3_1 @ ( esk5_1 @ X1 ) ) )
| ~ ( irel @ esk1_0 @ ( esk5_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
thf(c_0_52,negated_conjecture,
! [X1: $i] :
( ~ ( irel @ esk1_0 @ ( esk5_1 @ ( esk7_1 @ ( esk8_1 @ X1 ) ) ) )
| ~ ( irel @ esk1_0 @ ( esk7_1 @ ( esk8_1 @ X1 ) ) )
| ~ ( irel @ esk1_0 @ ( esk8_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
thf(c_0_53,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ ( esk5_1 @ X2 ) )
| ~ ( irel @ X1 @ ( esk4_1 @ X2 ) )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
thf(c_0_54,negated_conjecture,
! [X1: $i] :
( ~ ( irel @ esk1_0 @ ( esk4_1 @ ( esk7_1 @ ( esk8_1 @ X1 ) ) ) )
| ~ ( irel @ esk1_0 @ ( esk7_1 @ ( esk8_1 @ X1 ) ) )
| ~ ( irel @ esk1_0 @ ( esk8_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_55,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ ( esk4_1 @ X2 ) )
| ~ ( irel @ esk1_0 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_31]) ).
thf(c_0_56,negated_conjecture,
! [X1: $i] :
( ~ ( irel @ esk1_0 @ ( esk7_1 @ ( esk8_1 @ X1 ) ) )
| ~ ( irel @ esk1_0 @ ( esk8_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_57,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ ( esk7_1 @ X2 ) )
| ~ ( irel @ X1 @ ( esk6_1 @ X2 ) )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_39]) ).
thf(c_0_58,negated_conjecture,
! [X1: $i] :
( ~ ( irel @ esk1_0 @ ( esk6_1 @ ( esk8_1 @ X1 ) ) )
| ~ ( irel @ esk1_0 @ ( esk8_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
thf(c_0_59,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ ( esk6_1 @ X2 ) )
| ~ ( irel @ X1 @ ( esk4_1 @ X2 ) )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_33]) ).
thf(c_0_60,negated_conjecture,
! [X1: $i] :
( ~ ( irel @ esk1_0 @ ( esk4_1 @ ( esk8_1 @ X1 ) ) )
| ~ ( irel @ esk1_0 @ ( esk8_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_61,negated_conjecture,
! [X1: $i] :
( ( irel @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_62,plain,
! [X49: $i] : ( irel @ X49 @ X49 ),
inference(variable_rename,[status(thm)],[refl_axiom]) ).
thf(c_0_63,negated_conjecture,
! [X1: $i] :
( ~ ( irel @ esk1_0 @ ( esk8_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_55]) ).
thf(c_0_64,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk8_1 @ X1 ) )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_61]) ).
thf(c_0_65,plain,
! [X1: $i] : ( irel @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
thf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO062^4.004 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 10:36:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.48 Running higher-order theorem proving
% 0.19/0.48 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/benchmark/theBenchmark.p
% 0.19/0.54 # Version: 3.1.0-ho
% 0.19/0.54 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.54 # Starting post_as_ho3 with 300s (1) cores
% 0.19/0.54 # Starting post_as_ho11 with 300s (1) cores
% 0.19/0.54 # Starting full_lambda_8 with 300s (1) cores
% 0.19/0.54 # new_ho_10_cnf2 with pid 6073 completed with status 0
% 0.19/0.54 # Result found by new_ho_10_cnf2
% 0.19/0.54 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.54 # No SInE strategy applied
% 0.19/0.54 # Search class: HHHNF-FFSF11-SHSSMFNN
% 0.19/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54 # Starting sh7 with 811s (1) cores
% 0.19/0.54 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.19/0.54 # Starting lpo1_lambda_fix with 136s (1) cores
% 0.19/0.54 # Starting new_ho_7 with 136s (1) cores
% 0.19/0.54 # Starting full_lambda_1 with 136s (1) cores
% 0.19/0.54 # new_ho_7 with pid 6083 completed with status 0
% 0.19/0.54 # Result found by new_ho_7
% 0.19/0.54 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.54 # No SInE strategy applied
% 0.19/0.54 # Search class: HHHNF-FFSF11-SHSSMFNN
% 0.19/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54 # Starting sh7 with 811s (1) cores
% 0.19/0.54 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.19/0.54 # Starting lpo1_lambda_fix with 136s (1) cores
% 0.19/0.54 # Starting new_ho_7 with 136s (1) cores
% 0.19/0.54 # Preprocessing time : 0.001 s
% 0.19/0.54
% 0.19/0.54 # Proof found!
% 0.19/0.54 # SZS status Theorem
% 0.19/0.54 # SZS output start CNFRefutation
% See solution above
% 0.19/0.54 # Parsed axioms : 45
% 0.19/0.54 # Removed by relevancy pruning/SinE : 0
% 0.19/0.54 # Initial clauses : 36
% 0.19/0.54 # Removed in clause preprocessing : 23
% 0.19/0.54 # Initial clauses in saturation : 13
% 0.19/0.54 # Processed clauses : 247
% 0.19/0.54 # ...of these trivial : 0
% 0.19/0.54 # ...subsumed : 110
% 0.19/0.54 # ...remaining for further processing : 137
% 0.19/0.54 # Other redundant clauses eliminated : 0
% 0.19/0.54 # Clauses deleted for lack of memory : 0
% 0.19/0.54 # Backward-subsumed : 54
% 0.19/0.54 # Backward-rewritten : 0
% 0.19/0.54 # Generated clauses : 1058
% 0.19/0.54 # ...of the previous two non-redundant : 1055
% 0.19/0.54 # ...aggressively subsumed : 0
% 0.19/0.54 # Contextual simplify-reflections : 4
% 0.19/0.54 # Paramodulations : 1058
% 0.19/0.54 # Factorizations : 0
% 0.19/0.54 # NegExts : 0
% 0.19/0.54 # Equation resolutions : 0
% 0.19/0.54 # Disequality decompositions : 0
% 0.19/0.54 # Total rewrite steps : 1
% 0.19/0.54 # ...of those cached : 0
% 0.19/0.54 # Propositional unsat checks : 0
% 0.19/0.54 # Propositional check models : 0
% 0.19/0.54 # Propositional check unsatisfiable : 0
% 0.19/0.54 # Propositional clauses : 0
% 0.19/0.54 # Propositional clauses after purity: 0
% 0.19/0.54 # Propositional unsat core size : 0
% 0.19/0.54 # Propositional preprocessing time : 0.000
% 0.19/0.54 # Propositional encoding time : 0.000
% 0.19/0.54 # Propositional solver time : 0.000
% 0.19/0.54 # Success case prop preproc time : 0.000
% 0.19/0.54 # Success case prop encoding time : 0.000
% 0.19/0.54 # Success case prop solver time : 0.000
% 0.19/0.54 # Current number of processed clauses : 83
% 0.19/0.54 # Positive orientable unit clauses : 1
% 0.19/0.54 # Positive unorientable unit clauses: 0
% 0.19/0.54 # Negative unit clauses : 0
% 0.19/0.54 # Non-unit-clauses : 82
% 0.19/0.54 # Current number of unprocessed clauses: 818
% 0.19/0.54 # ...number of literals in the above : 3991
% 0.19/0.54 # Current number of archived formulas : 0
% 0.19/0.54 # Current number of archived clauses : 54
% 0.19/0.54 # Clause-clause subsumption calls (NU) : 4621
% 0.19/0.54 # Rec. Clause-clause subsumption calls : 2209
% 0.19/0.54 # Non-unit clause-clause subsumptions : 168
% 0.19/0.54 # Unit Clause-clause subsumption calls : 0
% 0.19/0.54 # Rewrite failures with RHS unbound : 0
% 0.19/0.54 # BW rewrite match attempts : 0
% 0.19/0.54 # BW rewrite match successes : 0
% 0.19/0.54 # Condensation attempts : 247
% 0.19/0.54 # Condensation successes : 0
% 0.19/0.54 # Termbank termtop insertions : 67175
% 0.19/0.54 # Search garbage collected termcells : 923
% 0.19/0.54
% 0.19/0.54 # -------------------------------------------------
% 0.19/0.54 # User time : 0.045 s
% 0.19/0.54 # System time : 0.001 s
% 0.19/0.54 # Total time : 0.046 s
% 0.19/0.54 # Maximum resident set size: 1944 pages
% 0.19/0.54
% 0.19/0.54 # -------------------------------------------------
% 0.19/0.54 # User time : 0.198 s
% 0.19/0.54 # System time : 0.019 s
% 0.19/0.54 # Total time : 0.217 s
% 0.19/0.54 # Maximum resident set size: 1780 pages
% 0.19/0.54 % E---3.1 exiting
% 0.19/0.54 % E exiting
%------------------------------------------------------------------------------