TSTP Solution File: KRS132+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : KRS132+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 23:16:20 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 6 unt; 0 def)
% Number of atoms : 317 ( 0 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 373 ( 147 ~; 175 |; 33 &)
% ( 13 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 98 ( 10 sgn 46 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_5,axiom,
! [X1] :
( cNothing(X1)
=> ? [X3] : rp(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X1] :
( cNothing(X1)
=> ~ ? [X2] : rp(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_8,axiom,
! [X1] :
( cnotAorB(X1)
<=> ! [X2] :
( rs(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cAorB(X1)
<=> ( cB(X1)
| cA(X1) ) ) ),
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_10,axiom,
! [X1] :
( cnotB(X1)
<=> ! [X2] :
( rr(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_3,axiom,
! [X1] :
( cAorB(X1)
<=> ? [X2] :
( rs(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_7,axiom,
! [X1] :
( cnotA(X1)
<=> ! [X2] :
( rq(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_4,axiom,
! [X1] :
( cB(X1)
<=> ? [X2] :
( rr(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_2,axiom,
! [X1] :
( cA(X1)
<=> ? [X2] :
( rq(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_9,axiom,
! [X1] :
( cnotAorB(X1)
<=> ( cnotB(X1)
& cnotA(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(c_0_12,plain,
! [X33] :
( ~ cNothing(X33)
| rp(X33,esk10_1(X33)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])]) ).
fof(c_0_13,plain,
! [X35,X36] :
( ~ cNothing(X35)
| ~ rp(X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])])]) ).
fof(c_0_14,plain,
! [X29,X30,X31] :
( ( ~ cnotAorB(X29)
| ~ rs(X29,X30)
| cNothing(X30) )
& ( rs(X31,esk9_1(X31))
| cnotAorB(X31) )
& ( ~ cNothing(esk9_1(X31))
| cnotAorB(X31) ) ),
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_8])])])])])])]) ).
cnf(c_0_15,plain,
( rp(X1,esk10_1(X1))
| ~ cNothing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( ~ cNothing(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cAorB(X1)
<=> ( cB(X1)
| cA(X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_18,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_19,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_20,plain,
! [X25,X26,X27] :
( ( ~ cnotB(X25)
| ~ rr(X25,X26)
| cNothing(X26) )
& ( rr(X27,esk8_1(X27))
| cnotB(X27) )
& ( ~ cNothing(esk8_1(X27))
| cnotB(X27) ) ),
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_10])])])])])])]) ).
cnf(c_0_21,plain,
( cNothing(X2)
| ~ cnotAorB(X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
~ cNothing(X1),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_23,plain,
! [X15,X17,X18] :
( ( rs(X15,esk6_1(X15))
| ~ cAorB(X15) )
& ( cowlThing(esk6_1(X15))
| ~ cAorB(X15) )
& ( ~ rs(X17,X18)
| ~ cowlThing(X18)
| cAorB(X17) ) ),
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_3])])])])])])]) ).
fof(c_0_24,negated_conjecture,
( ( ~ cB(esk3_0)
| ~ cAorB(esk3_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ cA(esk3_0)
| ~ cAorB(esk3_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( cAorB(esk3_0)
| cB(esk3_0)
| cA(esk3_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ cB(esk3_0)
| ~ cAorB(esk3_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ cA(esk3_0)
| ~ cAorB(esk3_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( cAorB(esk3_0)
| cB(esk3_0)
| cA(esk3_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) ) ),
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_17])])])])]) ).
fof(c_0_25,plain,
! [X20] :
( cowlThing(X20)
& ~ cowlNothing(X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).
fof(c_0_26,plain,
! [X19] :
( ( ~ xsd_string(X19)
| ~ xsd_integer(X19) )
& ( xsd_integer(X19)
| xsd_string(X19) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_27,plain,
! [X21,X22,X23] :
( ( ~ cnotA(X21)
| ~ rq(X21,X22)
| cNothing(X22) )
& ( rq(X23,esk7_1(X23))
| cnotA(X23) )
& ( ~ cNothing(esk7_1(X23))
| cnotA(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_7])])])])])])]) ).
cnf(c_0_28,plain,
( cNothing(X2)
| ~ cnotB(X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X11,X13,X14] :
( ( rr(X11,esk5_1(X11))
| ~ cB(X11) )
& ( cowlThing(esk5_1(X11))
| ~ cB(X11) )
& ( ~ rr(X13,X14)
| ~ cowlThing(X14)
| cB(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_4])])])])])])]) ).
cnf(c_0_30,plain,
( ~ cnotAorB(X1)
| ~ rs(X1,X2) ),
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( rs(X1,esk6_1(X1))
| ~ cAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( cAorB(esk3_0)
| cB(esk3_0)
| cA(esk3_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( cAorB(esk3_0)
| cB(esk3_0)
| cA(esk3_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,plain,
( cNothing(X2)
| ~ cnotA(X1)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_38,plain,
! [X7,X9,X10] :
( ( rq(X7,esk4_1(X7))
| ~ cA(X7) )
& ( cowlThing(esk4_1(X7))
| ~ cA(X7) )
& ( ~ rq(X9,X10)
| ~ cowlThing(X10)
| cA(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_2])])])])])])]) ).
cnf(c_0_39,plain,
( ~ cnotB(X1)
| ~ rr(X1,X2) ),
inference(sr,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_40,plain,
( rr(X1,esk5_1(X1))
| ~ cB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( ~ cnotAorB(X1)
| ~ cAorB(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_42,negated_conjecture,
( cB(esk3_0)
| cAorB(esk3_0)
| cA(esk3_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]),c_0_34]),c_0_35]) ).
fof(c_0_43,plain,
! [X37] :
( ( cnotB(X37)
| ~ cnotAorB(X37) )
& ( cnotA(X37)
| ~ cnotAorB(X37) )
& ( ~ cnotB(X37)
| ~ cnotA(X37)
| cnotAorB(X37) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])])]) ).
cnf(c_0_44,negated_conjecture,
( cB(esk3_0)
| cAorB(esk3_0)
| cA(esk3_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_33])]),c_0_34]),c_0_35]) ).
cnf(c_0_45,plain,
( cAorB(X1)
| ~ rs(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_46,plain,
( ~ cnotA(X1)
| ~ rq(X1,X2) ),
inference(sr,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_47,plain,
( rq(X1,esk4_1(X1))
| ~ cA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( ~ cnotB(X1)
| ~ cB(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( cB(esk3_0)
| cA(esk3_0)
| xsd_integer(esk2_0)
| ~ cnotAorB(esk3_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
( cnotB(X1)
| ~ cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ cB(esk3_0)
| ~ cAorB(esk3_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_52,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ cB(esk3_0)
| ~ cAorB(esk3_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_53,negated_conjecture,
( cB(esk3_0)
| cA(esk3_0)
| xsd_string(esk2_0)
| ~ cnotAorB(esk3_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_44]) ).
cnf(c_0_54,plain,
( cAorB(X1)
| ~ rs(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_33])]) ).
cnf(c_0_55,plain,
( rs(X1,esk9_1(X1))
| cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_56,plain,
( ~ cnotA(X1)
| ~ cA(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
( cA(esk3_0)
| xsd_integer(esk2_0)
| ~ cnotAorB(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_58,plain,
( cnotA(X1)
| ~ cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59,plain,
( cB(X1)
| ~ rr(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_60,negated_conjecture,
( xsd_string(esk2_0)
| ~ cB(esk3_0)
| ~ cAorB(esk3_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_33])]),c_0_34]) ).
cnf(c_0_61,negated_conjecture,
( xsd_integer(esk2_0)
| ~ cB(esk3_0)
| ~ cAorB(esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_33])]),c_0_34]),c_0_35]) ).
cnf(c_0_62,negated_conjecture,
( cA(esk3_0)
| xsd_string(esk2_0)
| ~ cnotAorB(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_53]),c_0_50]) ).
cnf(c_0_63,plain,
( cnotAorB(X1)
| cAorB(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( xsd_integer(esk2_0)
| ~ cnotAorB(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_65,plain,
( cB(X1)
| ~ rr(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_33])]) ).
cnf(c_0_66,plain,
( rr(X1,esk8_1(X1))
| cnotB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_67,negated_conjecture,
( xsd_string(esk2_0)
| ~ cB(esk3_0)
| ~ cAorB(esk3_0) ),
inference(csr,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( xsd_string(esk2_0)
| ~ cnotAorB(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_62]),c_0_58]) ).
cnf(c_0_69,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ cA(esk3_0)
| ~ cAorB(esk3_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_70,plain,
( cA(X1)
| ~ rq(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_71,negated_conjecture,
( xsd_integer(esk2_0)
| ~ cB(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_63]),c_0_64]) ).
cnf(c_0_72,plain,
( cnotB(X1)
| cB(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ cA(esk3_0)
| ~ cAorB(esk3_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_74,negated_conjecture,
( xsd_string(esk2_0)
| ~ cB(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_63]),c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( xsd_integer(esk2_0)
| ~ cAorB(esk3_0)
| ~ cA(esk3_0)
| ~ xsd_string(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_33])]),c_0_34]) ).
cnf(c_0_76,plain,
( cA(X1)
| ~ rq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_33])]) ).
cnf(c_0_77,plain,
( rq(X1,esk7_1(X1))
| cnotA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_78,plain,
( cnotAorB(X1)
| ~ cnotB(X1)
| ~ cnotA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_79,negated_conjecture,
( cnotB(esk3_0)
| xsd_integer(esk2_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( xsd_string(esk2_0)
| ~ cAorB(esk3_0)
| ~ cA(esk3_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_33])]),c_0_34]) ).
cnf(c_0_81,negated_conjecture,
( cnotB(esk3_0)
| xsd_string(esk2_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_72]) ).
cnf(c_0_82,negated_conjecture,
( xsd_integer(esk2_0)
| ~ cA(esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_63]),c_0_35]),c_0_64]) ).
cnf(c_0_83,plain,
( cnotA(X1)
| cA(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,negated_conjecture,
( xsd_integer(esk2_0)
| ~ cnotA(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_64]) ).
cnf(c_0_85,negated_conjecture,
( xsd_string(esk2_0)
| ~ cA(esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_63]),c_0_35]),c_0_68]) ).
cnf(c_0_86,negated_conjecture,
( xsd_string(esk2_0)
| ~ cnotA(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_81]),c_0_68]) ).
cnf(c_0_87,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_88,negated_conjecture,
xsd_integer(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_89,negated_conjecture,
xsd_string(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_86]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS132+1 : TPTP v8.2.0. Released v3.1.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n014.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 22:18:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 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
% 0.20/0.48 # Version: 3.1.0
% 0.20/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 # Starting sh5l with 300s (1) cores
% 0.20/0.48 # sh5l with pid 14572 completed with status 0
% 0.20/0.48 # Result found by sh5l
% 0.20/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 # Starting sh5l with 300s (1) cores
% 0.20/0.48 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.48 # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.20/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 163s (1) cores
% 0.20/0.48 # G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 14575 completed with status 0
% 0.20/0.48 # Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 0.20/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 # Starting sh5l with 300s (1) cores
% 0.20/0.48 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.48 # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.20/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 163s (1) cores
% 0.20/0.48 # Preprocessing time : 0.001 s
% 0.20/0.48 # Presaturation interreduction done
% 0.20/0.48
% 0.20/0.48 # Proof found!
% 0.20/0.48 # SZS status Theorem
% 0.20/0.48 # SZS output start CNFRefutation
% See solution above
% 0.20/0.48 # Parsed axioms : 12
% 0.20/0.48 # Removed by relevancy pruning/SinE : 0
% 0.20/0.48 # Initial clauses : 33
% 0.20/0.48 # Removed in clause preprocessing : 0
% 0.20/0.48 # Initial clauses in saturation : 33
% 0.20/0.48 # Processed clauses : 81
% 0.20/0.48 # ...of these trivial : 3
% 0.20/0.48 # ...subsumed : 0
% 0.20/0.48 # ...remaining for further processing : 78
% 0.20/0.48 # Other redundant clauses eliminated : 0
% 0.20/0.48 # Clauses deleted for lack of memory : 0
% 0.20/0.48 # Backward-subsumed : 12
% 0.20/0.48 # Backward-rewritten : 12
% 0.20/0.48 # Generated clauses : 42
% 0.20/0.48 # ...of the previous two non-redundant : 22
% 0.20/0.48 # ...aggressively subsumed : 0
% 0.20/0.48 # Contextual simplify-reflections : 19
% 0.20/0.48 # Paramodulations : 42
% 0.20/0.48 # Factorizations : 0
% 0.20/0.48 # NegExts : 0
% 0.20/0.48 # Equation resolutions : 0
% 0.20/0.48 # Disequality decompositions : 0
% 0.20/0.48 # Total rewrite steps : 25
% 0.20/0.48 # ...of those cached : 18
% 0.20/0.48 # Propositional unsat checks : 0
% 0.20/0.48 # Propositional check models : 0
% 0.20/0.48 # Propositional check unsatisfiable : 0
% 0.20/0.48 # Propositional clauses : 0
% 0.20/0.48 # Propositional clauses after purity: 0
% 0.20/0.48 # Propositional unsat core size : 0
% 0.20/0.48 # Propositional preprocessing time : 0.000
% 0.20/0.48 # Propositional encoding time : 0.000
% 0.20/0.48 # Propositional solver time : 0.000
% 0.20/0.48 # Success case prop preproc time : 0.000
% 0.20/0.48 # Success case prop encoding time : 0.000
% 0.20/0.48 # Success case prop solver time : 0.000
% 0.20/0.48 # Current number of processed clauses : 28
% 0.20/0.48 # Positive orientable unit clauses : 3
% 0.20/0.48 # Positive unorientable unit clauses: 0
% 0.20/0.48 # Negative unit clauses : 2
% 0.20/0.48 # Non-unit-clauses : 23
% 0.20/0.48 # Current number of unprocessed clauses: 0
% 0.20/0.48 # ...number of literals in the above : 0
% 0.20/0.48 # Current number of archived formulas : 0
% 0.20/0.48 # Current number of archived clauses : 50
% 0.20/0.48 # Clause-clause subsumption calls (NU) : 884
% 0.20/0.48 # Rec. Clause-clause subsumption calls : 628
% 0.20/0.48 # Non-unit clause-clause subsumptions : 27
% 0.20/0.48 # Unit Clause-clause subsumption calls : 8
% 0.20/0.48 # Rewrite failures with RHS unbound : 0
% 0.20/0.48 # BW rewrite match attempts : 2
% 0.20/0.48 # BW rewrite match successes : 2
% 0.20/0.48 # Condensation attempts : 0
% 0.20/0.48 # Condensation successes : 0
% 0.20/0.48 # Termbank termtop insertions : 2501
% 0.20/0.48 # Search garbage collected termcells : 573
% 0.20/0.48
% 0.20/0.48 # -------------------------------------------------
% 0.20/0.48 # User time : 0.010 s
% 0.20/0.48 # System time : 0.001 s
% 0.20/0.48 # Total time : 0.011 s
% 0.20/0.48 # Maximum resident set size: 1732 pages
% 0.20/0.48
% 0.20/0.48 # -------------------------------------------------
% 0.20/0.48 # User time : 0.010 s
% 0.20/0.48 # System time : 0.004 s
% 0.20/0.48 # Total time : 0.014 s
% 0.20/0.48 # Maximum resident set size: 1696 pages
% 0.20/0.48 % E---3.1 exiting
% 0.20/0.48 % E exiting
%------------------------------------------------------------------------------