TSTP Solution File: SEU492^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU492^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 03:27:34 EDT 2024
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 98 ( 14 unt; 14 typ; 0 def)
% Number of atoms : 377 ( 10 equ; 0 cnn)
% Maximal formula atoms : 90 ( 4 avg)
% Number of connectives : 1191 ( 117 ~; 259 |; 33 &; 770 @)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 121 ( 10 ^ 111 !; 0 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_28,type,
irrefl: ( $i > $i > $o ) > $o ).
thf(decl_32,type,
asymm: ( $i > $i > $o ) > $o ).
thf(decl_34,type,
trans: ( $i > $i > $o ) > $o ).
thf(decl_39,type,
so: ( $i > $i > $o ) > $o ).
thf(decl_51,type,
epred1_0: $i > $i > $o ).
thf(decl_52,type,
esk1_0: $i ).
thf(decl_53,type,
esk2_0: $i ).
thf(decl_54,type,
esk3_0: $i ).
thf(decl_55,type,
esk4_0: $i ).
thf(decl_56,type,
esk5_0: $i ).
thf(decl_57,type,
esk6_0: $i ).
thf(decl_58,type,
esk7_0: $i ).
thf(decl_59,type,
esk8_0: $i ).
thf(decl_60,type,
esk9_0: $i ).
thf(strict_order,axiom,
( so
= ( ^ [X1: $i > $i > $o] :
( ( asymm @ X1 )
& ( trans @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',strict_order) ).
thf(transitive,axiom,
( trans
= ( ^ [X1: $i > $i > $o] :
! [X3: $i,X4: $i,X6: $i] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X6 ) )
=> ( X1 @ X3 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',transitive) ).
thf(asymmetric,axiom,
( asymm
= ( ^ [X1: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( X1 @ X3 @ X4 )
=> ~ ( X1 @ X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',asymmetric) ).
thf(irreflexive,axiom,
( irrefl
= ( ^ [X1: $i > $i > $o] :
! [X3: $i] :
~ ( X1 @ X3 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',irreflexive) ).
thf(alternative_definition_of_strict_order,conjecture,
( so
= ( ^ [X1: $i > $i > $o] :
( ( irrefl @ X1 )
& ( trans @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alternative_definition_of_strict_order) ).
thf(c_0_5,plain,
( so
= ( ^ [Z0: $i > $i > $o] :
( ! [X26: $i,X27: $i] :
( ( Z0 @ X26 @ X27 )
=> ~ ( Z0 @ X27 @ X26 ) )
& ! [X28: $i,X29: $i,X30: $i] :
( ( ( Z0 @ X28 @ X29 )
& ( Z0 @ X29 @ X30 ) )
=> ( Z0 @ X28 @ X30 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[strict_order]) ).
thf(c_0_6,plain,
( trans
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i,X4: $i,X6: $i] :
( ( ( Z0 @ X3 @ X4 )
& ( Z0 @ X4 @ X6 ) )
=> ( Z0 @ X3 @ X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[transitive]) ).
thf(c_0_7,plain,
( asymm
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( Z0 @ X3 @ X4 )
=> ~ ( Z0 @ X4 @ X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[asymmetric]) ).
thf(c_0_8,plain,
( irrefl
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i] :
~ ( Z0 @ X3 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[irreflexive]) ).
thf(c_0_9,plain,
( so
= ( ^ [Z0: $i > $i > $o] :
( ! [X26: $i,X27: $i] :
( ( Z0 @ X26 @ X27 )
=> ~ ( Z0 @ X27 @ X26 ) )
& ! [X28: $i,X29: $i,X30: $i] :
( ( ( Z0 @ X28 @ X29 )
& ( Z0 @ X29 @ X30 ) )
=> ( Z0 @ X28 @ X30 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
thf(c_0_10,negated_conjecture,
~ ! [X91: $i > $i > $o] :
( ( ! [X82: $i,X83: $i] :
( ( X91 @ X82 @ X83 )
=> ~ ( X91 @ X83 @ X82 ) )
& ! [X84: $i,X85: $i,X86: $i] :
( ( ( X91 @ X84 @ X85 )
& ( X91 @ X85 @ X86 ) )
=> ( X91 @ X84 @ X86 ) ) )
<=> ( ! [X87: $i] :
~ ( X91 @ X87 @ X87 )
& ! [X88: $i,X89: $i,X90: $i] :
( ( ( X91 @ X88 @ X89 )
& ( X91 @ X89 @ X90 ) )
=> ( X91 @ X88 @ X90 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[alternative_definition_of_strict_order])]),c_0_6]),c_0_8]),c_0_9])]) ).
thf(c_0_11,negated_conjecture,
! [X102: $i,X103: $i,X104: $i,X105: $i,X106: $i,X107: $i,X108: $i,X109: $i,X110: $i] :
( ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk7_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk7_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk7_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk7_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk7_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk7_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X107 @ X107 )
| ~ ( epred1_0 @ X102 @ X103 )
| ~ ( epred1_0 @ X103 @ X102 ) )
& ( ~ ( epred1_0 @ X108 @ X109 )
| ~ ( epred1_0 @ X109 @ X110 )
| ( epred1_0 @ X108 @ X110 )
| ~ ( epred1_0 @ X102 @ X103 )
| ~ ( epred1_0 @ X103 @ X102 ) )
& ( ~ ( epred1_0 @ X107 @ X107 )
| ~ ( epred1_0 @ X104 @ X105 )
| ~ ( epred1_0 @ X105 @ X106 )
| ( epred1_0 @ X104 @ X106 ) )
& ( ~ ( epred1_0 @ X108 @ X109 )
| ~ ( epred1_0 @ X109 @ X110 )
| ( epred1_0 @ X108 @ X110 )
| ~ ( epred1_0 @ X104 @ X105 )
| ~ ( epred1_0 @ X105 @ X106 )
| ( epred1_0 @ X104 @ X106 ) ) ),
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_10])])])])])]) ).
thf(c_0_12,negated_conjecture,
! [X3: $i,X6: $i,X4: $i] :
( ~ ( epred1_0 @ X3 @ X3 )
| ~ ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X6 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_13,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_14,negated_conjecture,
! [X3: $i] :
~ ( epred1_0 @ X3 @ X3 ),
inference(condense,[status(thm)],[c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i,X10: $i,X11: $i] :
( ( epred1_0 @ X3 @ X6 )
| ( epred1_0 @ X9 @ X11 )
| ~ ( epred1_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X9 @ X10 )
| ~ ( epred1_0 @ X10 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk8_0 @ esk9_0 ) ),
inference(sr,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_17,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_18,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_19,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_20,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_21,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[c_0_17,c_0_14]) ).
thf(c_0_23,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ~ ( epred1_0 @ X3 @ esk8_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16])]) ).
thf(c_0_24,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(sr,[status(thm)],[c_0_19,c_0_14]) ).
thf(c_0_25,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(sr,[status(thm)],[c_0_20,c_0_14]) ).
thf(c_0_26,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk8_0 @ esk9_0 ) ),
inference(sr,[status(thm)],[c_0_21,c_0_14]) ).
thf(c_0_27,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
thf(c_0_28,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_29,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_30,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_31,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
thf(c_0_32,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
thf(c_0_33,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_35,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ~ ( epred1_0 @ X3 @ esk8_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22])]) ).
thf(c_0_36,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[c_0_28,c_0_14]) ).
thf(c_0_37,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(sr,[status(thm)],[c_0_29,c_0_14]) ).
thf(c_0_38,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[c_0_30,c_0_14]) ).
thf(c_0_39,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_40,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_31]) ).
thf(c_0_41,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ~ ( epred1_0 @ X3 @ esk8_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26])]) ).
thf(c_0_42,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(sr,[status(thm)],[c_0_33,c_0_14]) ).
thf(c_0_43,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(sr,[status(thm)],[c_0_34,c_0_14]) ).
thf(c_0_44,negated_conjecture,
( ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
thf(c_0_45,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_38]) ).
thf(c_0_46,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_47,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_48,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(sr,[status(thm)],[c_0_39,c_0_14]) ).
thf(c_0_49,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk4_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_31])]) ).
thf(c_0_50,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
thf(c_0_51,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_52,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_44]) ).
thf(c_0_53,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ~ ( epred1_0 @ X3 @ esk8_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38])]) ).
thf(c_0_54,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[c_0_46,c_0_14]) ).
thf(c_0_55,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(sr,[status(thm)],[c_0_47,c_0_14]) ).
thf(c_0_56,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_48]) ).
thf(c_0_57,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_58,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(sr,[status(thm)],[c_0_51,c_0_14]) ).
thf(c_0_59,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk4_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_44])]) ).
thf(c_0_60,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
thf(c_0_61,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
thf(c_0_62,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_63,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_58]) ).
thf(c_0_64,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
thf(c_0_65,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_66,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ~ ( epred1_0 @ X3 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_48])]),c_0_57]) ).
thf(c_0_67,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(sr,[status(thm)],[c_0_62,c_0_14]) ).
thf(c_0_68,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X9: $i] :
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X9 @ X6 )
| ~ ( epred1_0 @ X4 @ X9 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
thf(c_0_69,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_70,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(sr,[status(thm)],[c_0_65,c_0_14]) ).
thf(c_0_71,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk9_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_57]) ).
thf(c_0_72,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_73,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ~ ( epred1_0 @ X3 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_58])]),c_0_64]) ).
thf(c_0_74,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(sr,[status(thm)],[c_0_69,c_0_14]) ).
thf(c_0_75,negated_conjecture,
! [X3: $i,X4: $i,X6: $i,X10: $i,X9: $i] :
( ( epred1_0 @ X3 @ X6 )
| ~ ( epred1_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X4 @ X6 )
| ~ ( epred1_0 @ X9 @ X10 )
| ~ ( epred1_0 @ X10 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_76,negated_conjecture,
epred1_0 @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_57]) ).
thf(c_0_77,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk7_0 @ esk9_0 ) ),
inference(sr,[status(thm)],[c_0_72,c_0_14]) ).
thf(c_0_78,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_64]) ).
thf(c_0_79,negated_conjecture,
! [X3: $i,X4: $i,X6: $i] :
( ( epred1_0 @ X3 @ X4 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ X6 @ X4 )
| ~ ( epred1_0 @ X3 @ X6 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
thf(c_0_80,negated_conjecture,
epred1_0 @ esk2_0 @ esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_64]) ).
thf(c_0_81,negated_conjecture,
! [X3: $i,X4: $i,X6: $i] :
( ( epred1_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X6 @ X4 )
| ~ ( epred1_0 @ X3 @ X6 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).
thf(c_0_82,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ X3 @ esk2_0 )
| ~ ( epred1_0 @ X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_76]) ).
thf(c_0_83,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_80]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU492^1 : TPTP v8.2.0. Released v3.6.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n008.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 : Sun May 19 17:15:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 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
% 0.19/0.50 # Version: 3.1.0-ho
% 0.19/0.50 # Preprocessing class: HSSSSMSSMLSNHHN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.50 # Starting pre_casc_5 with 300s (1) cores
% 0.19/0.50 # Starting post_as_ho11 with 300s (1) cores
% 0.19/0.50 # Starting ho_unfolding_1 with 300s (1) cores
% 0.19/0.50 # pre_casc_5 with pid 14236 completed with status 0
% 0.19/0.50 # Result found by pre_casc_5
% 0.19/0.50 # Preprocessing class: HSSSSMSSMLSNHHN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.50 # Starting pre_casc_5 with 300s (1) cores
% 0.19/0.50 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.19/0.50 # Search class: HGHNF-FFMM00-SHHSMFNN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.50 # new_ho_10 with pid 14239 completed with status 0
% 0.19/0.50 # Result found by new_ho_10
% 0.19/0.50 # Preprocessing class: HSSSSMSSMLSNHHN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.50 # Starting pre_casc_5 with 300s (1) cores
% 0.19/0.50 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.19/0.50 # Search class: HGHNF-FFMM00-SHHSMFNN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.50 # Preprocessing time : 0.002 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Theorem
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 59
% 0.19/0.50 # Removed by relevancy pruning/SinE : 43
% 0.19/0.50 # Initial clauses : 22
% 0.19/0.50 # Removed in clause preprocessing : 0
% 0.19/0.50 # Initial clauses in saturation : 22
% 0.19/0.50 # Processed clauses : 136
% 0.19/0.50 # ...of these trivial : 0
% 0.19/0.50 # ...subsumed : 18
% 0.19/0.50 # ...remaining for further processing : 118
% 0.19/0.50 # Other redundant clauses eliminated : 0
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 53
% 0.19/0.50 # Backward-rewritten : 35
% 0.19/0.50 # Generated clauses : 279
% 0.19/0.50 # ...of the previous two non-redundant : 279
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 12
% 0.19/0.50 # Paramodulations : 275
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 0
% 0.19/0.50 # Disequality decompositions : 0
% 0.19/0.50 # Total rewrite steps : 36
% 0.19/0.50 # ...of those cached : 34
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 5
% 0.19/0.50 # Positive orientable unit clauses : 2
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 1
% 0.19/0.50 # Non-unit-clauses : 2
% 0.19/0.50 # Current number of unprocessed clauses: 1
% 0.19/0.50 # ...number of literals in the above : 2
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 113
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 1359
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 413
% 0.19/0.50 # Non-unit clause-clause subsumptions : 99
% 0.19/0.50 # Unit Clause-clause subsumption calls : 27
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 2
% 0.19/0.50 # BW rewrite match successes : 2
% 0.19/0.50 # Condensation attempts : 142
% 0.19/0.50 # Condensation successes : 18
% 0.19/0.50 # Termbank termtop insertions : 13798
% 0.19/0.50 # Search garbage collected termcells : 855
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.024 s
% 0.19/0.50 # System time : 0.003 s
% 0.19/0.50 # Total time : 0.027 s
% 0.19/0.50 # Maximum resident set size: 2128 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.026 s
% 0.19/0.50 # System time : 0.005 s
% 0.19/0.50 # Total time : 0.032 s
% 0.19/0.50 # Maximum resident set size: 1792 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------