%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS132+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 5 04:36:25 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 100 ( 6 unt; 0 def)
% Number of atoms : 361 ( 0 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 427 ( 166 ~; 210 |; 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/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X1] :
( cNothing(X1)
=> ~ ? [X2] : rp(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
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/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_10,axiom,
! [X1] :
( cnotB(X1)
<=> ! [X2] :
( rr(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_8,axiom,
! [X1] :
( cnotAorB(X1)
<=> ! [X2] :
( rs(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_4,axiom,
! [X1] :
( cB(X1)
<=> ? [X2] :
( rr(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_7,axiom,
! [X1] :
( cnotA(X1)
<=> ! [X2] :
( rq(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_3,axiom,
! [X1] :
( cAorB(X1)
<=> ? [X2] :
( rs(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_2,axiom,
! [X1] :
( cA(X1)
<=> ? [X2] :
( rq(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_9,axiom,
! [X1] :
( cnotAorB(X1)
<=> ( cnotB(X1)
& cnotA(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(c_0_12,plain,
! [X40] :
( ~ cNothing(X40)
| rp(X40,esk4_1(X40)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
fof(c_0_13,plain,
! [X42,X43] :
( ~ cNothing(X42)
| ~ rp(X42,X43) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
fof(c_0_14,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_15,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_16,plain,
! [X53,X54,X55] :
( ( ~ cnotB(X53)
| ~ rr(X53,X54)
| cNothing(X54) )
& ( rr(X55,esk7_1(X55))
| cnotB(X55) )
& ( ~ cNothing(esk7_1(X55))
| cnotB(X55) ) ),
inference(distribute,[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_17,plain,
( rp(X1,esk4_1(X1))
| ~ cNothing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( ~ cNothing(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,negated_conjecture,
( ( ~ cB(esk10_0)
| ~ cAorB(esk10_0)
| ~ xsd_string(esk9_0)
| xsd_integer(esk9_0)
| ~ cowlThing(esk8_0)
| cowlNothing(esk8_0) )
& ( ~ cA(esk10_0)
| ~ cAorB(esk10_0)
| ~ xsd_string(esk9_0)
| xsd_integer(esk9_0)
| ~ cowlThing(esk8_0)
| cowlNothing(esk8_0) )
& ( cAorB(esk10_0)
| cB(esk10_0)
| cA(esk10_0)
| ~ xsd_string(esk9_0)
| xsd_integer(esk9_0)
| ~ cowlThing(esk8_0)
| cowlNothing(esk8_0) )
& ( ~ cB(esk10_0)
| ~ cAorB(esk10_0)
| xsd_string(esk9_0)
| ~ xsd_integer(esk9_0)
| ~ cowlThing(esk8_0)
| cowlNothing(esk8_0) )
& ( ~ cA(esk10_0)
| ~ cAorB(esk10_0)
| xsd_string(esk9_0)
| ~ xsd_integer(esk9_0)
| ~ cowlThing(esk8_0)
| cowlNothing(esk8_0) )
& ( cAorB(esk10_0)
| cB(esk10_0)
| cA(esk10_0)
| xsd_string(esk9_0)
| ~ xsd_integer(esk9_0)
| ~ cowlThing(esk8_0)
| cowlNothing(esk8_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_20,plain,
! [X26] :
( cowlThing(X26)
& ~ cowlNothing(X26) ),
inference(variable_rename,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_22,plain,
! [X48,X49,X50] :
( ( ~ cnotAorB(X48)
| ~ rs(X48,X49)
| cNothing(X49) )
& ( rs(X50,esk6_1(X50))
| cnotAorB(X50) )
& ( ~ cNothing(esk6_1(X50))
| cnotAorB(X50) ) ),
inference(distribute,[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_23,plain,
( cNothing(X2)
| ~ cnotB(X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
~ cNothing(X1),
inference(csr,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_25,plain,
! [X36,X38,X39] :
( ( rr(X36,esk3_1(X36))
| ~ cB(X36) )
& ( cowlThing(esk3_1(X36))
| ~ cB(X36) )
& ( ~ rr(X38,X39)
| ~ cowlThing(X39)
| cB(X38) ) ),
inference(distribute,[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_26,negated_conjecture,
( cAorB(esk10_0)
| cB(esk10_0)
| cA(esk10_0)
| xsd_integer(esk9_0)
| cowlNothing(esk8_0)
| ~ xsd_string(esk9_0)
| ~ cowlThing(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_28,plain,
! [X27] :
( ( ~ xsd_string(X27)
| ~ xsd_integer(X27) )
& ( xsd_integer(X27)
| xsd_string(X27) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
cnf(c_0_29,negated_conjecture,
( cAorB(esk10_0)
| cB(esk10_0)
| cA(esk10_0)
| xsd_string(esk9_0)
| cowlNothing(esk8_0)
| ~ xsd_integer(esk9_0)
| ~ cowlThing(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
( xsd_string(esk9_0)
| cowlNothing(esk8_0)
| ~ cB(esk10_0)
| ~ cAorB(esk10_0)
| ~ xsd_integer(esk9_0)
| ~ cowlThing(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_31,plain,
! [X44,X45,X46] :
( ( ~ cnotA(X44)
| ~ rq(X44,X45)
| cNothing(X45) )
& ( rq(X46,esk5_1(X46))
| cnotA(X46) )
& ( ~ cNothing(esk5_1(X46))
| cnotA(X46) ) ),
inference(distribute,[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_32,plain,
( cNothing(X2)
| ~ cnotAorB(X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_33,plain,
! [X32,X34,X35] :
( ( rs(X32,esk2_1(X32))
| ~ cAorB(X32) )
& ( cowlThing(esk2_1(X32))
| ~ cAorB(X32) )
& ( ~ rs(X34,X35)
| ~ cowlThing(X35)
| cAorB(X34) ) ),
inference(distribute,[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])])])])])]) ).
cnf(c_0_34,plain,
( ~ cnotB(X1)
| ~ rr(X1,X2) ),
inference(sr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_35,plain,
( rr(X1,esk3_1(X1))
| ~ cB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
( cowlNothing(esk8_0)
| xsd_integer(esk9_0)
| cA(esk10_0)
| cAorB(esk10_0)
| cB(esk10_0)
| ~ xsd_string(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_37,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
( cowlNothing(esk8_0)
| xsd_string(esk9_0)
| cA(esk10_0)
| cAorB(esk10_0)
| cB(esk10_0)
| ~ xsd_integer(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_27])]) ).
cnf(c_0_40,negated_conjecture,
( xsd_integer(esk9_0)
| cowlNothing(esk8_0)
| ~ cB(esk10_0)
| ~ cAorB(esk10_0)
| ~ xsd_string(esk9_0)
| ~ cowlThing(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41,negated_conjecture,
( cowlNothing(esk8_0)
| xsd_string(esk9_0)
| ~ xsd_integer(esk9_0)
| ~ cAorB(esk10_0)
| ~ cB(esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_27])]) ).
cnf(c_0_42,negated_conjecture,
( xsd_integer(esk9_0)
| cowlNothing(esk8_0)
| ~ cA(esk10_0)
| ~ cAorB(esk10_0)
| ~ xsd_string(esk9_0)
| ~ cowlThing(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,plain,
( cNothing(X2)
| ~ cnotA(X1)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_44,plain,
! [X28,X30,X31] :
( ( rq(X28,esk1_1(X28))
| ~ cA(X28) )
& ( cowlThing(esk1_1(X28))
| ~ cA(X28) )
& ( ~ rq(X30,X31)
| ~ cowlThing(X31)
| cA(X30) ) ),
inference(distribute,[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_45,plain,
( ~ cnotAorB(X1)
| ~ rs(X1,X2) ),
inference(sr,[status(thm)],[c_0_32,c_0_24]) ).
cnf(c_0_46,plain,
( rs(X1,esk2_1(X1))
| ~ cAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,plain,
( ~ cnotB(X1)
| ~ cB(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_48,negated_conjecture,
( cB(esk10_0)
| cAorB(esk10_0)
| cA(esk10_0)
| xsd_integer(esk9_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
fof(c_0_49,plain,
! [X52] :
( ( cnotB(X52)
| ~ cnotAorB(X52) )
& ( cnotA(X52)
| ~ cnotAorB(X52) )
& ( ~ cnotB(X52)
| ~ cnotA(X52)
| cnotAorB(X52) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])]) ).
cnf(c_0_50,negated_conjecture,
( xsd_string(esk9_0)
| cowlNothing(esk8_0)
| ~ cA(esk10_0)
| ~ cAorB(esk10_0)
| ~ xsd_integer(esk9_0)
| ~ cowlThing(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_51,negated_conjecture,
( cB(esk10_0)
| cAorB(esk10_0)
| cA(esk10_0)
| xsd_string(esk9_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_39,c_0_37]),c_0_38]) ).
cnf(c_0_52,negated_conjecture,
( cowlNothing(esk8_0)
| xsd_integer(esk9_0)
| ~ xsd_string(esk9_0)
| ~ cAorB(esk10_0)
| ~ cB(esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_27])]) ).
cnf(c_0_53,negated_conjecture,
( xsd_string(esk9_0)
| ~ cB(esk10_0)
| ~ cAorB(esk10_0)
| ~ xsd_integer(esk9_0) ),
inference(sr,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_54,plain,
( cB(X1)
| ~ rr(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_55,negated_conjecture,
( cowlNothing(esk8_0)
| xsd_integer(esk9_0)
| ~ xsd_string(esk9_0)
| ~ cA(esk10_0)
| ~ cAorB(esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_27])]) ).
cnf(c_0_56,plain,
( cAorB(X1)
| ~ rs(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_57,plain,
( ~ cnotA(X1)
| ~ rq(X1,X2) ),
inference(sr,[status(thm)],[c_0_43,c_0_24]) ).
cnf(c_0_58,plain,
( rq(X1,esk1_1(X1))
| ~ cA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_59,plain,
( ~ cnotAorB(X1)
| ~ cAorB(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_60,negated_conjecture,
( cAorB(esk10_0)
| cA(esk10_0)
| xsd_integer(esk9_0)
| ~ cnotB(esk10_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_61,plain,
( cnotB(X1)
| ~ cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,negated_conjecture,
( cowlNothing(esk8_0)
| xsd_string(esk9_0)
| ~ xsd_integer(esk9_0)
| ~ cA(esk10_0)
| ~ cAorB(esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_27])]) ).
cnf(c_0_63,negated_conjecture,
( cAorB(esk10_0)
| cA(esk10_0)
| xsd_string(esk9_0)
| ~ cnotB(esk10_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_51]) ).
cnf(c_0_64,negated_conjecture,
( xsd_integer(esk9_0)
| ~ cB(esk10_0)
| ~ cAorB(esk10_0)
| ~ xsd_string(esk9_0) ),
inference(sr,[status(thm)],[c_0_52,c_0_37]) ).
cnf(c_0_65,negated_conjecture,
( xsd_string(esk9_0)
| ~ cB(esk10_0)
| ~ cAorB(esk10_0) ),
inference(csr,[status(thm)],[c_0_53,c_0_38]) ).
cnf(c_0_66,plain,
( cB(X1)
| ~ rr(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_27])]) ).
cnf(c_0_67,plain,
( rr(X1,esk7_1(X1))
| cnotB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_68,negated_conjecture,
( xsd_integer(esk9_0)
| ~ cAorB(esk10_0)
| ~ cA(esk10_0)
| ~ xsd_string(esk9_0) ),
inference(sr,[status(thm)],[c_0_55,c_0_37]) ).
cnf(c_0_69,plain,
( cAorB(X1)
| ~ rs(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_27])]) ).
cnf(c_0_70,plain,
( rs(X1,esk6_1(X1))
| cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_71,plain,
( ~ cnotA(X1)
| ~ cA(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_72,negated_conjecture,
( cA(esk10_0)
| xsd_integer(esk9_0)
| ~ cnotAorB(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_73,plain,
( cnotA(X1)
| ~ cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_74,plain,
( cA(X1)
| ~ rq(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_75,negated_conjecture,
( xsd_string(esk9_0)
| ~ cAorB(esk10_0)
| ~ cA(esk10_0)
| ~ xsd_integer(esk9_0) ),
inference(sr,[status(thm)],[c_0_62,c_0_37]) ).
cnf(c_0_76,negated_conjecture,
( cA(esk10_0)
| xsd_string(esk9_0)
| ~ cnotAorB(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_63]),c_0_61]) ).
cnf(c_0_77,negated_conjecture,
( xsd_integer(esk9_0)
| ~ cB(esk10_0)
| ~ cAorB(esk10_0) ),
inference(csr,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_78,plain,
( cnotB(X1)
| cB(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_79,negated_conjecture,
( xsd_integer(esk9_0)
| ~ cAorB(esk10_0)
| ~ cA(esk10_0) ),
inference(csr,[status(thm)],[c_0_68,c_0_38]) ).
cnf(c_0_80,plain,
( cnotAorB(X1)
| cAorB(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_81,negated_conjecture,
( xsd_integer(esk9_0)
| ~ cnotAorB(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_82,plain,
( cA(X1)
| ~ rq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_27])]) ).
cnf(c_0_83,plain,
( rq(X1,esk5_1(X1))
| cnotA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_84,negated_conjecture,
( xsd_string(esk9_0)
| ~ cAorB(esk10_0)
| ~ cA(esk10_0) ),
inference(csr,[status(thm)],[c_0_75,c_0_38]) ).
cnf(c_0_85,negated_conjecture,
( xsd_string(esk9_0)
| ~ cnotAorB(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_76]),c_0_73]) ).
cnf(c_0_86,negated_conjecture,
( cnotB(esk10_0)
| xsd_integer(esk9_0)
| ~ cAorB(esk10_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( xsd_integer(esk9_0)
| ~ cA(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_88,plain,
( cnotA(X1)
| cA(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,negated_conjecture,
( cnotB(esk10_0)
| xsd_string(esk9_0)
| ~ cAorB(esk10_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_78]) ).
cnf(c_0_90,negated_conjecture,
( xsd_string(esk9_0)
| ~ cA(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_80]),c_0_85]) ).
cnf(c_0_91,plain,
( cnotAorB(X1)
| ~ cnotB(X1)
| ~ cnotA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_92,negated_conjecture,
( cnotB(esk10_0)
| xsd_integer(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_80]),c_0_61]) ).
cnf(c_0_93,negated_conjecture,
( cnotA(esk10_0)
| xsd_integer(esk9_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
( cnotB(esk10_0)
| xsd_string(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_80]),c_0_61]) ).
cnf(c_0_95,negated_conjecture,
( cnotA(esk10_0)
| xsd_string(esk9_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_88]) ).
cnf(c_0_96,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_97,negated_conjecture,
xsd_integer(esk9_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_81]) ).
cnf(c_0_98,negated_conjecture,
xsd_string(esk9_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_94]),c_0_95]),c_0_85]) ).
cnf(c_0_99,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS132+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:37:50 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.73 % Total time : 1.370s
%------------------------------------------------------------------------------