TSTP Solution File: KRS155+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : KRS155+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : Mon May 20 23:16:36 EDT 2024
% Result : Theorem 0.22s 0.56s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 28
% Syntax : Number of formulae : 94 ( 40 unt; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 472 ( 195 ~; 186 |; 75 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-1 aty)
% Number of variables : 87 ( 2 sgn 52 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC20(iV8467)
& cC4(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& cC62(iV8467)
& cC14(iV8467)
& cC34(iV8467)
& cC10(iV8467)
& cowlThing(iV8467)
& cC48(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC58(iV8472)
& cC60(iV8472)
& cowlThing(iV8472) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X1] :
( cC10(X1)
<=> ( cC4(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_61,axiom,
! [X1] :
( cC60(X1)
<=> ( cC2xcomp(X1)
& cC58(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(axiom_57,axiom,
! [X1] :
( cC58(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(axiom_80,axiom,
! [X1] :
( cC80(X1)
<=> ( cC78xcomp(X1)
& cC2xcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(axiom_124,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).
fof(axiom_132,axiom,
cC2(iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(axiom_118,axiom,
cC78xcomp(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).
fof(axiom_119,axiom,
cC2xcomp(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).
fof(axiom_82,axiom,
! [X1] :
( cC82(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC80(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
fof(axiom_62,axiom,
! [X1] :
( cC62(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC60(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(axiom_122,axiom,
cC2xcomp(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).
fof(axiom_44,axiom,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2xcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(axiom_29,axiom,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC32xcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(axiom_13,axiom,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2xcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_5,axiom,
! [X1] :
( cC14(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cTOP(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_79,axiom,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC6xcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(axiom_35,axiom,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2xcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(axiom_103,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
fof(axiom_110,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
fof(axiom_106,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).
fof(axiom_127,axiom,
cC32xcomp(iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
fof(axiom_104,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).
fof(axiom_116,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).
fof(axiom_105,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).
fof(axiom_113,axiom,
cC6xcomp(iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).
fof(c_0_28,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC20(iV8467)
& cC4(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& cC62(iV8467)
& cC14(iV8467)
& cC34(iV8467)
& cC10(iV8467)
& cowlThing(iV8467)
& cC48(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC58(iV8472)
& cC60(iV8472)
& cowlThing(iV8472) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_29,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_30,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_31,negated_conjecture,
( ( ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472) )
& ( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).
fof(c_0_32,plain,
! [X75] :
( cowlThing(X75)
& ~ cowlNothing(X75) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_29])]) ).
fof(c_0_33,plain,
! [X74] :
( ( ~ xsd_string(X74)
| ~ xsd_integer(X74) )
& ( xsd_integer(X74)
| xsd_string(X74) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_34,plain,
! [X29] :
( ( cC4(X29)
| ~ cC10(X29) )
& ( cC8(X29)
| ~ cC10(X29) )
& ( ~ cC4(X29)
| ~ cC8(X29)
| cC10(X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).
fof(c_0_35,plain,
! [X6] :
( ( cC2xcomp(X6)
| ~ cC60(X6) )
& ( cC58(X6)
| ~ cC60(X6) )
& ( ~ cC2xcomp(X6)
| ~ cC58(X6)
| cC60(X6) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).
fof(c_0_36,plain,
! [X11,X13,X14] :
( ( rR1(X11,esk4_1(X11))
| ~ cC58(X11) )
& ( cC2(esk4_1(X11))
| ~ cC58(X11) )
& ( ~ rR1(X13,X14)
| ~ cC2(X14)
| cC58(X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_57])])])])])])]) ).
cnf(c_0_37,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( cC10(X1)
| ~ cC4(X1)
| ~ cC8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( cC58(X1)
| ~ cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_44,plain,
! [X15] :
( ( cC78xcomp(X15)
| ~ cC80(X15) )
& ( cC2xcomp(X15)
| ~ cC80(X15) )
& ( ~ cC78xcomp(X15)
| ~ cC2xcomp(X15)
| cC80(X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_80])])])]) ).
cnf(c_0_45,plain,
( cC58(X1)
| ~ rR1(X1,X2)
| ~ cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
rR1(iV8472,iV8476),
inference(split_conjunct,[status(thm)],[axiom_124]) ).
cnf(c_0_47,plain,
cC2(iV8476),
inference(split_conjunct,[status(thm)],[axiom_132]) ).
cnf(c_0_48,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,negated_conjecture,
( xsd_integer(esk2_0)
| ~ cC82(iV8467)
| ~ cC80(iV8471)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_38]),c_0_38]),c_0_38])]),c_0_39]),c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( xsd_string(esk2_0)
| ~ cC82(iV8467)
| ~ cC80(iV8471)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_38]),c_0_38]),c_0_38]),c_0_38])]),c_0_39]),c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_51,plain,
( cC80(X1)
| ~ cC78xcomp(X1)
| ~ cC2xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
cC78xcomp(iV8471),
inference(split_conjunct,[status(thm)],[axiom_118]) ).
cnf(c_0_53,plain,
cC2xcomp(iV8471),
inference(split_conjunct,[status(thm)],[axiom_119]) ).
fof(c_0_54,plain,
! [X16,X18,X19] :
( ( rR1(X16,esk5_1(X16))
| ~ cC82(X16) )
& ( cC80(esk5_1(X16))
| ~ cC82(X16) )
& ( ~ rR1(X18,X19)
| ~ cC80(X19)
| cC82(X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_82])])])])])])]) ).
fof(c_0_55,plain,
! [X7,X9,X10] :
( ( rR1(X7,esk3_1(X7))
| ~ cC62(X7) )
& ( cC60(esk3_1(X7))
| ~ cC62(X7) )
& ( ~ rR1(X9,X10)
| ~ cC60(X10)
| cC62(X9) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_62])])])])])])]) ).
cnf(c_0_56,plain,
( cC60(X1)
| ~ cC2xcomp(X1)
| ~ cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_57,plain,
cC58(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_58,plain,
cC2xcomp(iV8472),
inference(split_conjunct,[status(thm)],[axiom_122]) ).
fof(c_0_59,plain,
! [X21,X23,X24] :
( ( rR1(X21,esk6_1(X21))
| ~ cC48(X21) )
& ( cC2xcomp(esk6_1(X21))
| ~ cC48(X21) )
& ( ~ rR1(X23,X24)
| ~ cC2xcomp(X24)
| cC48(X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_44])])])])])])]) ).
fof(c_0_60,plain,
! [X38,X40,X41] :
( ( rR1(X38,esk10_1(X38))
| ~ cC34(X38) )
& ( cC32xcomp(esk10_1(X38))
| ~ cC34(X38) )
& ( ~ rR1(X40,X41)
| ~ cC32xcomp(X41)
| cC34(X40) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_29])])])])])])]) ).
fof(c_0_61,plain,
! [X66,X68,X69] :
( ( rR1(X66,esk17_1(X66))
| ~ cC20(X66) )
& ( cC2xcomp(esk17_1(X66))
| ~ cC20(X66) )
& ( ~ rR1(X68,X69)
| ~ cC2xcomp(X69)
| cC20(X68) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])])])])])])]) ).
fof(c_0_62,plain,
! [X46,X48,X49] :
( ( rR1(X46,esk12_1(X46))
| ~ cC14(X46) )
& ( cTOP(esk12_1(X46))
| ~ cC14(X46) )
& ( ~ rR1(X48,X49)
| ~ cTOP(X49)
| cC14(X48) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])])])])]) ).
fof(c_0_63,plain,
! [X58,X60,X61] :
( ( rR1(X58,esk15_1(X58))
| ~ cC8(X58) )
& ( cC6xcomp(esk15_1(X58))
| ~ cC8(X58) )
& ( ~ rR1(X60,X61)
| ~ cC6xcomp(X61)
| cC8(X60) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_79])])])])])])]) ).
fof(c_0_64,plain,
! [X62,X64,X65] :
( ( rR1(X62,esk16_1(X62))
| ~ cC4(X62) )
& ( cC2xcomp(esk16_1(X62))
| ~ cC4(X62) )
& ( ~ rR1(X64,X65)
| ~ cC2xcomp(X65)
| cC4(X64) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_35])])])])])])]) ).
cnf(c_0_65,negated_conjecture,
( ~ cC82(iV8467)
| ~ cC80(iV8471)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_66,plain,
cC80(iV8471),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_67,plain,
( cC82(X1)
| ~ rR1(X1,X2)
| ~ cC80(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_68,plain,
rR1(iV8467,iV8471),
inference(split_conjunct,[status(thm)],[axiom_103]) ).
cnf(c_0_69,plain,
( cC62(X1)
| ~ rR1(X1,X2)
| ~ cC60(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_70,plain,
rR1(iV8467,iV8472),
inference(split_conjunct,[status(thm)],[axiom_110]) ).
cnf(c_0_71,plain,
cC60(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_72,plain,
( cC48(X1)
| ~ rR1(X1,X2)
| ~ cC2xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_73,plain,
( cC34(X1)
| ~ rR1(X1,X2)
| ~ cC32xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_74,plain,
rR1(iV8467,iV8474),
inference(split_conjunct,[status(thm)],[axiom_106]) ).
cnf(c_0_75,plain,
cC32xcomp(iV8474),
inference(split_conjunct,[status(thm)],[axiom_127]) ).
cnf(c_0_76,plain,
( cC20(X1)
| ~ rR1(X1,X2)
| ~ cC2xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_77,plain,
( cC14(X1)
| ~ rR1(X1,X2)
| ~ cTOP(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_78,plain,
rR1(iV8467,iV8470),
inference(split_conjunct,[status(thm)],[axiom_104]) ).
cnf(c_0_79,plain,
cTOP(iV8470),
inference(split_conjunct,[status(thm)],[axiom_116]) ).
cnf(c_0_80,plain,
( cC8(X1)
| ~ rR1(X1,X2)
| ~ cC6xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_81,plain,
rR1(iV8467,iV8469),
inference(split_conjunct,[status(thm)],[axiom_105]) ).
cnf(c_0_82,plain,
cC6xcomp(iV8469),
inference(split_conjunct,[status(thm)],[axiom_113]) ).
cnf(c_0_83,plain,
( cC4(X1)
| ~ rR1(X1,X2)
| ~ cC2xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_84,negated_conjecture,
( ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]) ).
cnf(c_0_85,plain,
cC82(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_66])]) ).
cnf(c_0_86,plain,
cC62(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_87,plain,
cC48(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_70]),c_0_58])]) ).
cnf(c_0_88,plain,
cC34(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_89,plain,
cC20(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_70]),c_0_58])]) ).
cnf(c_0_90,plain,
cC14(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_91,plain,
cC8(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).
cnf(c_0_92,plain,
cC4(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_70]),c_0_58])]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]),c_0_86]),c_0_71]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : KRS155+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n026.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat May 18 22:22:38 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --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
% 0.22/0.56 # Version: 3.1.0
% 0.22/0.56 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.22/0.56 # Starting new_bool_3 with 600s (2) cores
% 0.22/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.56 # Starting sh5l with 300s (1) cores
% 0.22/0.56 # sh5l with pid 18565 completed with status 0
% 0.22/0.56 # Result found by sh5l
% 0.22/0.56 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.22/0.56 # Starting new_bool_3 with 600s (2) cores
% 0.22/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.56 # Starting sh5l with 300s (1) cores
% 0.22/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.56 # Search class: FGHNF-FSMM11-SFFFFFNN
% 0.22/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.56 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.56 # SAT001_MinMin_p005000_rr_RG with pid 18569 completed with status 0
% 0.22/0.56 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.56 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.22/0.56 # Starting new_bool_3 with 600s (2) cores
% 0.22/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.56 # Starting sh5l with 300s (1) cores
% 0.22/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.56 # Search class: FGHNF-FSMM11-SFFFFFNN
% 0.22/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.56 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.56 # Preprocessing time : 0.003 s
% 0.22/0.56 # Presaturation interreduction done
% 0.22/0.56
% 0.22/0.56 # Proof found!
% 0.22/0.56 # SZS status Theorem
% 0.22/0.56 # SZS output start CNFRefutation
% See solution above
% 0.22/0.56 # Parsed axioms : 135
% 0.22/0.56 # Removed by relevancy pruning/SinE : 29
% 0.22/0.56 # Initial clauses : 219
% 0.22/0.56 # Removed in clause preprocessing : 0
% 0.22/0.56 # Initial clauses in saturation : 219
% 0.22/0.56 # Processed clauses : 467
% 0.22/0.56 # ...of these trivial : 38
% 0.22/0.56 # ...subsumed : 0
% 0.22/0.56 # ...remaining for further processing : 428
% 0.22/0.56 # Other redundant clauses eliminated : 0
% 0.22/0.56 # Clauses deleted for lack of memory : 0
% 0.22/0.56 # Backward-subsumed : 2
% 0.22/0.56 # Backward-rewritten : 8
% 0.22/0.56 # Generated clauses : 677
% 0.22/0.56 # ...of the previous two non-redundant : 638
% 0.22/0.56 # ...aggressively subsumed : 0
% 0.22/0.56 # Contextual simplify-reflections : 7
% 0.22/0.56 # Paramodulations : 677
% 0.22/0.56 # Factorizations : 0
% 0.22/0.56 # NegExts : 0
% 0.22/0.56 # Equation resolutions : 0
% 0.22/0.56 # Disequality decompositions : 0
% 0.22/0.56 # Total rewrite steps : 103
% 0.22/0.56 # ...of those cached : 72
% 0.22/0.56 # Propositional unsat checks : 0
% 0.22/0.56 # Propositional check models : 0
% 0.22/0.56 # Propositional check unsatisfiable : 0
% 0.22/0.56 # Propositional clauses : 0
% 0.22/0.56 # Propositional clauses after purity: 0
% 0.22/0.56 # Propositional unsat core size : 0
% 0.22/0.56 # Propositional preprocessing time : 0.000
% 0.22/0.56 # Propositional encoding time : 0.000
% 0.22/0.56 # Propositional solver time : 0.000
% 0.22/0.56 # Success case prop preproc time : 0.000
% 0.22/0.56 # Success case prop encoding time : 0.000
% 0.22/0.56 # Success case prop solver time : 0.000
% 0.22/0.56 # Current number of processed clauses : 209
% 0.22/0.56 # Positive orientable unit clauses : 36
% 0.22/0.56 # Positive unorientable unit clauses: 0
% 0.22/0.56 # Negative unit clauses : 5
% 0.22/0.56 # Non-unit-clauses : 168
% 0.22/0.56 # Current number of unprocessed clauses: 599
% 0.22/0.56 # ...number of literals in the above : 1556
% 0.22/0.56 # Current number of archived formulas : 0
% 0.22/0.56 # Current number of archived clauses : 219
% 0.22/0.56 # Clause-clause subsumption calls (NU) : 15916
% 0.22/0.56 # Rec. Clause-clause subsumption calls : 12872
% 0.22/0.56 # Non-unit clause-clause subsumptions : 9
% 0.22/0.56 # Unit Clause-clause subsumption calls : 193
% 0.22/0.56 # Rewrite failures with RHS unbound : 0
% 0.22/0.56 # BW rewrite match attempts : 8
% 0.22/0.56 # BW rewrite match successes : 8
% 0.22/0.56 # Condensation attempts : 0
% 0.22/0.56 # Condensation successes : 0
% 0.22/0.56 # Termbank termtop insertions : 18847
% 0.22/0.56 # Search garbage collected termcells : 3484
% 0.22/0.56
% 0.22/0.56 # -------------------------------------------------
% 0.22/0.56 # User time : 0.039 s
% 0.22/0.56 # System time : 0.002 s
% 0.22/0.56 # Total time : 0.041 s
% 0.22/0.56 # Maximum resident set size: 2596 pages
% 0.22/0.56
% 0.22/0.56 # -------------------------------------------------
% 0.22/0.56 # User time : 0.041 s
% 0.22/0.56 # System time : 0.006 s
% 0.22/0.56 # Total time : 0.047 s
% 0.22/0.56 # Maximum resident set size: 1816 pages
% 0.22/0.56 % E---3.1 exiting
% 0.22/0.57 % E exiting
%------------------------------------------------------------------------------