%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO494+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 : 600s
% DateTime : Sat Jul 16 03:45:59 EDT 2022
% Result : Theorem 8.78s 2.40s
% Output : CNFRefutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% Number of atoms : 109 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 125 ( 60 ~; 53 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-4 aty)
% Number of variables : 153 ( 3 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz5_8,conjecture,
! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_8) ).
fof(aSatz5_6,axiom,
! [X12,X15,X14,X17,X20,X21,X22,X26] :
( ~ le(X12,X15,X14,X17)
| ~ s_e(X12,X15,X20,X21)
| ~ s_e(X14,X17,X22,X26)
| le(X20,X21,X22,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_6) ).
fof(d_Defn5_4,axiom,
! [X12,X15,X14,X17,X2] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X14,insert(X12,X15,X14,X17),X17) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,X15,X14,insert(X12,X15,X14,X17)) )
& ( ~ s_t(X14,X2,X17)
| ~ s_e(X12,X15,X14,X2)
| le(X12,X15,X14,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(aSatz5_5a,axiom,
! [X12,X15,X14,X17] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X12,X15,ins(X14,X17,X12,X15)) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,ins(X14,X17,X12,X15),X14,X17) )
& ( ~ le(X12,X15,X14,X17)
| ins(X14,X17,X12,X15) = ext(X12,X15,insert(X12,X15,X14,X17),X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_5a) ).
fof(aSatz3_6b,axiom,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X12,X15,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_6b) ).
fof(d_insert,axiom,
! [X12,X15,X20,X22] : insert(X12,X15,X20,X22) = ext(ext(X22,X20,alpha,gamma),X20,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_insert) ).
fof(aA1,axiom,
! [X1,X2] : s_e(X1,X2,X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA1) ).
fof(aSatz2_4,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X14,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_4) ).
fof(aA4,axiom,
! [X1,X2,X7,X4] :
( s_t(X1,X2,ext(X1,X2,X7,X4))
& s_e(X2,ext(X1,X2,X7,X4),X7,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(c_0_9,negated_conjecture,
~ ! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
inference(assume_negation,[status(cth)],[aSatz5_8]) ).
fof(c_0_10,plain,
! [X252,X253,X254,X255,X256,X257,X258,X259] :
( ~ le(X252,X253,X254,X255)
| ~ s_e(X252,X253,X256,X257)
| ~ s_e(X254,X255,X258,X259)
| le(X256,X257,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz5_6])]) ).
fof(c_0_11,plain,
! [X305,X306,X307,X308,X309] :
( ( ~ le(X305,X306,X307,X308)
| s_t(X307,insert(X305,X306,X307,X308),X308) )
& ( ~ le(X305,X306,X307,X308)
| s_e(X305,X306,X307,insert(X305,X306,X307,X308)) )
& ( ~ s_t(X307,X309,X308)
| ~ s_e(X305,X306,X307,X309)
| le(X305,X306,X307,X308) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn5_4])]) ).
fof(c_0_12,plain,
! [X243,X244,X245,X246] :
( ( ~ le(X243,X244,X245,X246)
| s_t(X243,X244,ins(X245,X246,X243,X244)) )
& ( ~ le(X243,X244,X245,X246)
| s_e(X243,ins(X245,X246,X243,X244),X245,X246) )
& ( ~ le(X243,X244,X245,X246)
| ins(X245,X246,X243,X244) = ext(X243,X244,insert(X243,X244,X245,X246),X246) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz5_5a])]) ).
fof(c_0_13,negated_conjecture,
( le(esk1_0,esk2_0,esk3_0,esk4_0)
& le(esk3_0,esk4_0,esk5_0,esk6_0)
& ~ le(esk1_0,esk2_0,esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_14,plain,
( le(X5,X6,X7,X8)
| ~ le(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( le(X4,X5,X1,X3)
| ~ s_t(X1,X2,X3)
| ~ s_e(X4,X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X137,X138,X139,X140] :
( ~ s_t(X137,X138,X139)
| ~ s_t(X137,X139,X140)
| s_t(X137,X138,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_6b])]) ).
cnf(c_0_17,plain,
( s_t(X1,X2,ins(X3,X4,X1,X2))
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
le(esk3_0,esk4_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
~ le(esk1_0,esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( le(X1,X2,X3,X4)
| ~ s_t(X5,X6,X7)
| ~ s_e(X5,X7,X3,X4)
| ~ s_e(X8,X9,X1,X2)
| ~ s_e(X8,X9,X5,X6) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( s_t(X1,X2,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
s_t(esk3_0,esk4_0,ins(esk5_0,esk6_0,esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( s_e(X1,ins(X3,X4,X1,X2),X3,X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_24,plain,
! [X268,X269,X270,X271] : insert(X268,X269,X270,X271) = ext(ext(X271,X270,alpha,gamma),X270,X268,X269),
inference(variable_rename,[status(thm)],[d_insert]) ).
cnf(c_0_25,negated_conjecture,
( ~ s_t(X1,X2,X3)
| ~ s_e(X1,X3,esk5_0,esk6_0)
| ~ s_e(X4,X5,esk1_0,esk2_0)
| ~ s_e(X4,X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( s_t(esk3_0,X1,ins(esk5_0,esk6_0,esk3_0,esk4_0))
| ~ s_t(esk3_0,X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
s_e(esk3_0,ins(esk5_0,esk6_0,esk3_0,esk4_0),esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
fof(c_0_28,plain,
! [X35,X36] : s_e(X35,X36,X36,X35),
inference(variable_rename,[status(thm)],[aA1]) ).
fof(c_0_29,plain,
! [X77,X78,X79,X80] :
( ~ s_e(X77,X78,X79,X80)
| s_e(X78,X77,X79,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_4])]) ).
fof(c_0_30,plain,
! [X46,X47,X48,X49] :
( s_t(X46,X47,ext(X46,X47,X48,X49))
& s_e(X47,ext(X46,X47,X48,X49),X48,X49) ),
inference(variable_rename,[status(thm)],[aA4]) ).
cnf(c_0_31,plain,
( s_t(X3,insert(X1,X2,X3,X4),X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( ~ s_t(esk3_0,X1,esk4_0)
| ~ s_e(X2,X3,esk1_0,esk2_0)
| ~ s_e(X2,X3,esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_34,plain,
s_e(X1,X2,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( s_e(X2,X1,X3,X4)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X1,X2),X4)
| ~ le(X1,X2,X3,X4) ),
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
le(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_39,negated_conjecture,
( ~ s_t(esk3_0,X1,esk4_0)
| ~ s_e(X1,esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
s_e(ext(X1,X2,X3,X4),X2,X3,X4),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
s_t(esk3_0,ext(ext(esk4_0,esk3_0,alpha,gamma),esk3_0,esk1_0,esk2_0),esk4_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
~ s_t(esk3_0,ext(X1,esk3_0,esk1_0,esk2_0),esk4_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_41,c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO494+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.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 : 600
% 0.12/0.33 % DateTime : Sat Jun 18 00:46:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.78/2.40 # ENIGMATIC: Solved by autoschedule:
% 8.78/2.40 # No SInE strategy applied
% 8.78/2.40 # Trying AutoSched0 for 150 seconds
% 8.78/2.40 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05BI
% 8.78/2.40 # and selection function SelectUnlessUniqMaxSmallestOrientable.
% 8.78/2.40 #
% 8.78/2.40 # Preprocessing time : 0.029 s
% 8.78/2.40 # Presaturation interreduction done
% 8.78/2.40
% 8.78/2.40 # Proof found!
% 8.78/2.40 # SZS status Theorem
% 8.78/2.40 # SZS output start CNFRefutation
% See solution above
% 8.78/2.40 # Training examples: 0 positive, 0 negative
% 8.78/2.40
% 8.78/2.40 # -------------------------------------------------
% 8.78/2.40 # User time : 0.132 s
% 8.78/2.40 # System time : 0.009 s
% 8.78/2.40 # Total time : 0.141 s
% 8.78/2.40 # Maximum resident set size: 7124 pages
% 8.78/2.40
%------------------------------------------------------------------------------