TSTP Solution File: GEO495+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO495+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 46.06s 7.25s
% Output : CNFRefutation 46.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 142 ( 51 unt; 0 def)
% Number of atoms : 311 ( 31 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 321 ( 152 ~; 149 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-6 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 389 ( 10 sgn 190 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz5_9,conjecture,
! [X12,X15,X14,X17] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X12,X15)
| s_e(X12,X15,X14,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_9) ).
fof(aSatz5_8,axiom,
! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_8) ).
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/sandbox/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(aSatz3_1,axiom,
! [X12,X15] : s_t(X12,X15,X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_1) ).
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/sandbox/benchmark/theBenchmark.p',aSatz5_5a) ).
fof(aSatz5_7,axiom,
! [X12,X15] : le(X12,X15,X12,X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_7) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_2) ).
fof(aSatz3_5b,axiom,
! [X12,X15,X17,X14] :
( ~ s_t(X12,X15,X17)
| ~ s_t(X15,X14,X17)
| s_t(X12,X14,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5b) ).
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/sandbox/benchmark/Axioms/GEO011+0.ax',aA4) ).
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/sandbox/benchmark/theBenchmark.p',d_insert) ).
fof(aSatz4_5,axiom,
! [X12,X15,X14,X20,X22] :
( ( ~ s_t(X12,X15,X14)
| ~ s_e(X12,X14,X20,X22)
| s_t(X20,insert(X12,X15,X20,X22),X22) )
& ( ~ s_t(X12,X15,X14)
| ~ s_e(X12,X14,X20,X22)
| s_e3(X12,X15,X14,X20,insert(X12,X15,X20,X22),X22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_5) ).
fof(aSatz2_12,axiom,
! [X16,X12,X17,X15,X14] :
( X16 = X12
| ~ s_t(X16,X12,X17)
| ~ s_e(X12,X17,X15,X14)
| X17 = ext(X16,X12,X15,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_12) ).
fof(aA1,axiom,
! [X1,X2] : s_e(X1,X2,X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA1) ).
fof(aSatz2_5,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X12,X15,X17,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_5) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2) ).
fof(d_Defn4_4,axiom,
! [X20,X31,X32,X21,X33,X34] :
( ( ~ s_e3(X20,X31,X32,X21,X33,X34)
| s_e(X20,X31,X21,X33) )
& ( ~ s_e3(X20,X31,X32,X21,X33,X34)
| s_e(X20,X32,X21,X34) )
& ( ~ s_e3(X20,X31,X32,X21,X33,X34)
| s_e(X31,X32,X33,X34) )
& ( ~ s_e(X20,X31,X21,X33)
| ~ s_e(X20,X32,X21,X34)
| ~ s_e(X31,X32,X33,X34)
| s_e3(X20,X31,X32,X21,X33,X34) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_4) ).
fof(aA2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| s_e(X3,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(aSatz2_4,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X14,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_4) ).
fof(aSatz3_14b,axiom,
! [X15,X12] : X15 != ext(X12,X15,alpha,gamma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_14b) ).
fof(aSatz2_14,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_14) ).
fof(aSatz2_3,axiom,
! [X12,X15,X14,X17,X18,X19] :
( ~ s_e(X12,X15,X14,X17)
| ~ s_e(X14,X17,X18,X19)
| s_e(X12,X15,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_3) ).
fof(aSatz3_6a,axiom,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X15,X14,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6a) ).
fof(aA3,axiom,
! [X1,X2,X3] :
( ~ s_e(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA3) ).
fof(aA6,axiom,
! [X1,X2] :
( ~ s_t(X1,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA6) ).
fof(c_0_24,negated_conjecture,
~ ! [X12,X15,X14,X17] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X12,X15)
| s_e(X12,X15,X14,X17) ),
inference(assume_negation,[status(cth)],[aSatz5_9]) ).
fof(c_0_25,plain,
! [X262,X263,X264,X265,X266,X267] :
( ~ le(X262,X263,X264,X265)
| ~ le(X264,X265,X266,X267)
| le(X262,X263,X266,X267) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz5_8])]) ).
fof(c_0_26,plain,
! [X309,X310,X311,X312,X313] :
( ( ~ le(X309,X310,X311,X312)
| s_t(X311,insert(X309,X310,X311,X312),X312) )
& ( ~ le(X309,X310,X311,X312)
| s_e(X309,X310,X311,insert(X309,X310,X311,X312)) )
& ( ~ s_t(X311,X313,X312)
| ~ s_e(X309,X310,X311,X313)
| le(X309,X310,X311,X312) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn5_4])]) ).
fof(c_0_27,negated_conjecture,
( le(esk1_0,esk2_0,esk3_0,esk4_0)
& le(esk3_0,esk4_0,esk1_0,esk2_0)
& ~ s_e(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_28,plain,
( le(X1,X2,X5,X6)
| ~ le(X1,X2,X3,X4)
| ~ le(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( le(X4,X5,X1,X3)
| ~ s_t(X1,X2,X3)
| ~ s_e(X4,X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_30,plain,
! [X111,X112] : s_t(X111,X112,X112),
inference(variable_rename,[status(thm)],[aSatz3_1]) ).
fof(c_0_31,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])]) ).
cnf(c_0_32,negated_conjecture,
le(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( le(X1,X2,X3,X4)
| ~ le(X1,X2,X5,X6)
| ~ s_t(X3,X7,X4)
| ~ s_e(X5,X6,X3,X7) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
s_t(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_35,plain,
! [X260,X261] : le(X260,X261,X260,X261),
inference(variable_rename,[status(thm)],[aSatz5_7]) ).
fof(c_0_36,plain,
! [X113,X114,X115] :
( ~ s_t(X113,X114,X115)
| s_t(X115,X114,X113) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_2])]) ).
cnf(c_0_37,plain,
( s_t(X1,X2,ins(X3,X4,X1,X2))
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
le(esk3_0,esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
( le(X1,X2,esk3_0,esk4_0)
| ~ le(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_32]) ).
cnf(c_0_40,plain,
( le(X1,X2,X3,X4)
| ~ le(X1,X2,X5,X6)
| ~ s_e(X5,X6,X3,X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
le(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_42,plain,
! [X133,X134,X135,X136] :
( ~ s_t(X133,X134,X135)
| ~ s_t(X134,X136,X135)
| s_t(X133,X136,X135) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_5b])]) ).
cnf(c_0_43,plain,
( s_t(X3,X2,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
s_t(esk3_0,esk4_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_45,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]) ).
fof(c_0_46,plain,
! [X272,X273,X274,X275] : insert(X272,X273,X274,X275) = ext(ext(X275,X274,alpha,gamma),X274,X272,X273),
inference(variable_rename,[status(thm)],[d_insert]) ).
cnf(c_0_47,negated_conjecture,
( le(X1,X2,esk3_0,esk4_0)
| ~ le(X3,X4,esk1_0,esk2_0)
| ~ le(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_28,c_0_39]) ).
cnf(c_0_48,plain,
( le(X1,X2,X3,X4)
| ~ s_e(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
( s_e(X1,ins(X3,X4,X1,X2),X3,X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_50,plain,
! [X169,X170,X171,X172,X173] :
( ( ~ s_t(X169,X170,X171)
| ~ s_e(X169,X171,X172,X173)
| s_t(X172,insert(X169,X170,X172,X173),X173) )
& ( ~ s_t(X169,X170,X171)
| ~ s_e(X169,X171,X172,X173)
| s_e3(X169,X170,X171,X172,insert(X169,X170,X172,X173),X173) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz4_5])]) ).
fof(c_0_51,plain,
! [X93,X94,X95,X96,X97] :
( X93 = X94
| ~ s_t(X93,X94,X95)
| ~ s_e(X94,X95,X96,X97)
| X95 = ext(X93,X94,X96,X97) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_12])]) ).
fof(c_0_52,plain,
! [X35,X36] : s_e(X35,X36,X36,X35),
inference(variable_rename,[status(thm)],[aA1]) ).
cnf(c_0_53,plain,
( s_t(X1,X4,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,negated_conjecture,
s_t(ins(esk1_0,esk2_0,esk3_0,esk4_0),esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_55,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( ins(X3,X4,X1,X2) = ext(X1,X2,insert(X1,X2,X3,X4),X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_57,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,negated_conjecture,
( le(X1,X2,esk3_0,esk4_0)
| ~ le(X3,X4,esk1_0,esk2_0)
| ~ s_e(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,negated_conjecture,
s_e(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
fof(c_0_60,plain,
! [X81,X82,X83,X84] :
( ~ s_e(X81,X82,X83,X84)
| s_e(X81,X82,X84,X83) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_5])]) ).
fof(c_0_61,plain,
! [X67,X68,X69,X70] :
( ~ s_e(X67,X68,X69,X70)
| s_e(X69,X70,X67,X68) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_2])]) ).
fof(c_0_62,plain,
! [X292,X293,X294,X295,X296,X297] :
( ( ~ s_e3(X292,X293,X294,X295,X296,X297)
| s_e(X292,X293,X295,X296) )
& ( ~ s_e3(X292,X293,X294,X295,X296,X297)
| s_e(X292,X294,X295,X297) )
& ( ~ s_e3(X292,X293,X294,X295,X296,X297)
| s_e(X293,X294,X296,X297) )
& ( ~ s_e(X292,X293,X295,X296)
| ~ s_e(X292,X294,X295,X297)
| ~ s_e(X293,X294,X296,X297)
| s_e3(X292,X293,X294,X295,X296,X297) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn4_4])]) ).
cnf(c_0_63,plain,
( s_e3(X1,X2,X3,X4,insert(X1,X2,X4,X5),X5)
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_64,plain,
( X1 = X2
| X3 = ext(X1,X2,X4,X5)
| ~ s_t(X1,X2,X3)
| ~ s_e(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_65,plain,
s_e(X1,X2,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_66,negated_conjecture,
( s_t(X1,esk4_0,esk3_0)
| ~ s_t(X1,ins(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_67,plain,
s_t(ext(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_43,c_0_55]) ).
cnf(c_0_68,plain,
( ins(X3,X4,X1,X2) = ext(X1,X2,ext(ext(X4,X3,alpha,gamma),X3,X1,X2),X4)
| ~ le(X1,X2,X3,X4) ),
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_69,negated_conjecture,
le(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_41])]) ).
fof(c_0_70,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ s_e(X37,X38,X39,X40)
| ~ s_e(X37,X38,X41,X42)
| s_e(X39,X40,X41,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA2])]) ).
cnf(c_0_71,plain,
( s_e(X1,X2,X4,X3)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_73,negated_conjecture,
s_e(esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0),esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
fof(c_0_74,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])]) ).
cnf(c_0_75,plain,
( s_e(X2,X3,X5,X6)
| ~ s_e3(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_76,plain,
( s_e3(X1,X2,X3,X4,ext(ext(X5,X4,alpha,gamma),X4,X1,X2),X5)
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X3,X4,X5) ),
inference(rw,[status(thm)],[c_0_63,c_0_57]) ).
cnf(c_0_77,plain,
( ext(X1,X2,X3,X2) = X3
| X1 = X2
| ~ s_t(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_78,plain,
! [X147,X148] : X147 != ext(X148,X147,alpha,gamma),
inference(variable_rename,[status(thm)],[aSatz3_14b]) ).
cnf(c_0_79,negated_conjecture,
s_t(ext(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),X1,X2),esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_80,negated_conjecture,
ext(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),ext(ext(esk4_0,esk3_0,alpha,gamma),esk3_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),esk4_0) = ins(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_81,plain,
( s_e(X3,X4,X5,X6)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_82,negated_conjecture,
s_e(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_71,c_0_59]) ).
cnf(c_0_83,negated_conjecture,
s_e(esk3_0,esk4_0,esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,plain,
( s_e(X2,X1,X3,X4)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
s_e(esk1_0,esk2_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_72,c_0_59]) ).
fof(c_0_86,plain,
! [X101,X102,X103,X104] :
( ~ s_e(X101,X102,X103,X104)
| s_e(X102,X101,X104,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_14])]) ).
cnf(c_0_87,plain,
( s_e(X1,X2,ext(ext(X3,X4,alpha,gamma),X4,X5,X1),X3)
| ~ s_t(X5,X1,X2)
| ~ s_e(X5,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_88,plain,
( ext(ext(X1,X2,X3,X4),X2,X1,X2) = X1
| ext(X1,X2,X3,X4) = X2 ),
inference(spm,[status(thm)],[c_0_77,c_0_67]) ).
cnf(c_0_89,plain,
X1 != ext(X2,X1,alpha,gamma),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_90,negated_conjecture,
s_t(ins(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
s_e(esk3_0,ins(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_49,c_0_69]) ).
cnf(c_0_92,negated_conjecture,
( s_e(X1,X2,esk2_0,esk1_0)
| ~ s_e(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_93,negated_conjecture,
( s_e(X1,X2,esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0))
| ~ s_e(esk3_0,esk4_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_83]) ).
cnf(c_0_94,negated_conjecture,
s_e(esk2_0,esk1_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
fof(c_0_95,plain,
! [X71,X72,X73,X74,X75,X76] :
( ~ s_e(X71,X72,X73,X74)
| ~ s_e(X73,X74,X75,X76)
| s_e(X71,X72,X75,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_3])]) ).
cnf(c_0_96,plain,
( s_e(X2,X1,X4,X3)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_97,plain,
! [X125,X126,X127,X128] :
( ~ s_t(X125,X126,X127)
| ~ s_t(X125,X127,X128)
| s_t(X126,X127,X128) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_6a])]) ).
fof(c_0_98,plain,
! [X43,X44,X45] :
( ~ s_e(X43,X44,X45,X45)
| X43 = X44 ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA3])]) ).
cnf(c_0_99,plain,
( s_e(X1,X2,X3,X3)
| ~ s_t(X3,X1,X2)
| ~ s_e(X3,X2,X1,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_100,negated_conjecture,
s_t(esk3_0,esk4_0,ins(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_43,c_0_90]) ).
cnf(c_0_101,negated_conjecture,
s_e(esk3_0,ins(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_71,c_0_91]) ).
cnf(c_0_102,plain,
( s_t(X1,X2,ins(X3,X4,X1,X2))
| ~ s_e(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_48]) ).
cnf(c_0_103,negated_conjecture,
s_e(esk4_0,esk3_0,esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_84,c_0_83]) ).
cnf(c_0_104,negated_conjecture,
( s_e(esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0),esk2_0,esk1_0)
| ~ s_e(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_105,negated_conjecture,
( s_e(X1,X2,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0))
| ~ s_e(esk2_0,esk1_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_94]) ).
cnf(c_0_106,plain,
( s_e(X1,X2,X5,X6)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_107,negated_conjecture,
s_e(ins(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_96,c_0_59]) ).
cnf(c_0_108,negated_conjecture,
( le(esk3_0,esk4_0,X1,X2)
| ~ s_e(esk1_0,esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
fof(c_0_109,plain,
! [X58,X59] :
( ~ s_t(X58,X59,X58)
| X58 = X59 ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA6])]) ).
cnf(c_0_110,plain,
( s_t(X2,X3,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_111,plain,
( X1 = X2
| ~ s_e(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_112,negated_conjecture,
s_e(esk4_0,ins(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)),esk3_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_113,plain,
s_t(X1,X2,ins(X2,X1,X1,X2)),
inference(spm,[status(thm)],[c_0_102,c_0_65]) ).
cnf(c_0_114,plain,
( s_e(X1,ins(X2,X3,X1,X4),X2,X3)
| ~ s_t(X2,X5,X3)
| ~ s_e(X1,X4,X2,X5) ),
inference(spm,[status(thm)],[c_0_49,c_0_29]) ).
cnf(c_0_115,negated_conjecture,
( s_e(X1,X2,esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0))
| ~ s_e(esk4_0,esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_103]) ).
cnf(c_0_116,negated_conjecture,
( s_e(esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0),esk2_0,esk1_0)
| ~ s_e(esk2_0,esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_117,negated_conjecture,
( s_e(X1,X2,esk2_0,esk1_0)
| ~ s_e(X1,X2,ins(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,negated_conjecture,
( s_e(esk3_0,ins(X1,X2,esk3_0,esk4_0),X1,X2)
| ~ s_e(esk1_0,esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_108]) ).
cnf(c_0_119,negated_conjecture,
s_e(esk1_0,esk2_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0),
inference(spm,[status(thm)],[c_0_71,c_0_85]) ).
cnf(c_0_120,plain,
( X1 = X2
| ~ s_t(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_121,negated_conjecture,
( s_t(X1,esk4_0,ins(esk1_0,esk2_0,esk3_0,esk4_0))
| ~ s_t(esk3_0,X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_44]) ).
cnf(c_0_122,negated_conjecture,
s_t(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),ins(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_37,c_0_69]) ).
cnf(c_0_123,negated_conjecture,
ins(esk3_0,esk4_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)) = esk4_0,
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_124,plain,
( s_e(X1,ins(X1,X2,X2,X1),X2,X2)
| ~ s_e(X2,ins(X1,X2,X2,X1),X1,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_113]) ).
cnf(c_0_125,plain,
( s_e(X1,ins(X2,X3,X1,X4),X2,X3)
| ~ s_e(X1,X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_114,c_0_34]) ).
cnf(c_0_126,negated_conjecture,
( s_e(esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0),esk2_0,esk1_0)
| ~ s_e(esk4_0,esk3_0,esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_115]) ).
cnf(c_0_127,negated_conjecture,
( s_e(X1,X2,esk3_0,esk4_0)
| ~ s_e(esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0),X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_73]) ).
cnf(c_0_128,negated_conjecture,
( s_e(esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0),esk1_0,esk2_0)
| ~ s_e(esk2_0,esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_116]) ).
cnf(c_0_129,negated_conjecture,
~ s_e(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_130,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_65]) ).
cnf(c_0_131,negated_conjecture,
s_e(esk3_0,ins(ins(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0,esk3_0,esk4_0),esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
cnf(c_0_132,negated_conjecture,
( ins(esk1_0,esk2_0,esk3_0,esk4_0) = esk4_0
| ~ s_t(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_133,negated_conjecture,
s_t(esk3_0,ins(esk1_0,esk2_0,esk3_0,esk4_0),esk4_0),
inference(rw,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_134,plain,
s_e(X1,ins(X1,X2,X2,X1),X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_65])]) ).
cnf(c_0_135,negated_conjecture,
( s_e(esk1_0,ins(esk3_0,esk4_0,esk1_0,esk2_0),esk2_0,esk1_0)
| ~ s_e(esk2_0,esk1_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_105]) ).
cnf(c_0_136,negated_conjecture,
~ s_e(esk2_0,esk1_0,esk3_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_137,negated_conjecture,
s_e(esk2_0,esk1_0,ins(ins(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0,esk3_0,esk4_0),esk3_0),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_138,negated_conjecture,
ins(esk1_0,esk2_0,esk3_0,esk4_0) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]) ).
cnf(c_0_139,plain,
ins(X1,X2,X2,X1) = X1,
inference(spm,[status(thm)],[c_0_111,c_0_134]) ).
cnf(c_0_140,negated_conjecture,
~ s_e(esk2_0,esk1_0,esk4_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_135]),c_0_136]) ).
cnf(c_0_141,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138]),c_0_139]),c_0_140]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO495+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 05:58:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 46.06/7.25 # ENIGMATIC: Solved by autoschedule:
% 46.06/7.25 # No SInE strategy applied
% 46.06/7.25 # Trying AutoSched0 for 150 seconds
% 46.06/7.25 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05BI
% 46.06/7.25 # and selection function SelectUnlessUniqMaxSmallestOrientable.
% 46.06/7.25 #
% 46.06/7.25 # Preprocessing time : 0.028 s
% 46.06/7.25 # Presaturation interreduction done
% 46.06/7.25
% 46.06/7.25 # Proof found!
% 46.06/7.25 # SZS status Theorem
% 46.06/7.25 # SZS output start CNFRefutation
% See solution above
% 46.06/7.25 # Training examples: 0 positive, 0 negative
% 46.06/7.25
% 46.06/7.25 # -------------------------------------------------
% 46.06/7.25 # User time : 4.550 s
% 46.06/7.25 # System time : 0.156 s
% 46.06/7.25 # Total time : 4.707 s
% 46.06/7.25 # Maximum resident set size: 7124 pages
% 46.06/7.25
%------------------------------------------------------------------------------