TSTP Solution File: KRS158+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS158+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 : Thu Aug 31 05:40:40 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 50
% Syntax : Number of formulae : 92 ( 18 unt; 37 typ; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 297 ( 129 ~; 117 |; 42 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 32 >; 4 *; 0 +; 0 <<)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-1 aty)
% Number of variables : 30 ( 2 sgn; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cowlThing: $i > $o ).
tff(decl_23,type,
cowlNothing: $i > $o ).
tff(decl_24,type,
xsd_string: $i > $o ).
tff(decl_25,type,
xsd_integer: $i > $o ).
tff(decl_26,type,
cC10: $i > $o ).
tff(decl_27,type,
ra_Px3: ( $i * $i ) > $o ).
tff(decl_28,type,
rR1: ( $i * $i ) > $o ).
tff(decl_29,type,
cC2xcomp: $i > $o ).
tff(decl_30,type,
cC10xcomp: $i > $o ).
tff(decl_31,type,
cC12: $i > $o ).
tff(decl_32,type,
cC14: $i > $o ).
tff(decl_33,type,
cC16: $i > $o ).
tff(decl_34,type,
cC8: $i > $o ).
tff(decl_35,type,
cC18: $i > $o ).
tff(decl_36,type,
cTOP: $i > $o ).
tff(decl_37,type,
cC2: $i > $o ).
tff(decl_38,type,
ra_Px1: ( $i * $i ) > $o ).
tff(decl_39,type,
cC4: $i > $o ).
tff(decl_40,type,
ra_Px6: ( $i * $i ) > $o ).
tff(decl_41,type,
cC4xcomp: $i > $o ).
tff(decl_42,type,
cC6: $i > $o ).
tff(decl_43,type,
cTEST: $i > $o ).
tff(decl_44,type,
iV16560: $i ).
tff(decl_45,type,
iV16562: $i ).
tff(decl_46,type,
iV16561: $i ).
tff(decl_47,type,
esk1_1: $i > $i ).
tff(decl_48,type,
esk2_1: $i > $i ).
tff(decl_49,type,
esk3_1: $i > $i ).
tff(decl_50,type,
esk4_1: $i > $i ).
tff(decl_51,type,
esk5_1: $i > $i ).
tff(decl_52,type,
esk6_1: $i > $i ).
tff(decl_53,type,
esk7_1: $i > $i ).
tff(decl_54,type,
esk8_1: $i > $i ).
tff(decl_55,type,
esk9_1: $i > $i ).
tff(decl_56,type,
esk10_1: $i > $i ).
tff(decl_57,type,
esk11_0: $i ).
tff(decl_58,type,
esk12_0: $i ).
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
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_16,axiom,
! [X1] :
( cTEST(X1)
<=> ( cTOP(X1)
& cC18(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_8,axiom,
! [X1] :
( cC18(X1)
<=> ( cTOP(X1)
& cC16(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_18,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_7,axiom,
! [X1] :
( cC16(X1)
<=> ( cC14(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_5,axiom,
! [X1] :
( cC12(X1)
<=> ( cC10xcomp(X1)
& cC2xcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_28,axiom,
cC10xcomp(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(axiom_29,axiom,
cC2xcomp(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(axiom_14,axiom,
! [X1] :
( cC6(X1)
<=> ( cC4xcomp(X1)
& cC2xcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_24,axiom,
cC4xcomp(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(axiom_25,axiom,
cC2xcomp(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(c_0_13,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_14,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_15,plain,
! [X50] :
( ( cTOP(X50)
| ~ cTEST(X50) )
& ( cC18(X50)
| ~ cTEST(X50) )
& ( ~ cTOP(X50)
| ~ cC18(X50)
| cTEST(X50) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_16])])]) ).
fof(c_0_16,negated_conjecture,
( ( ~ xsd_string(esk12_0)
| xsd_integer(esk12_0)
| ~ cowlThing(esk11_0)
| cowlNothing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) )
& ( xsd_string(esk12_0)
| ~ xsd_integer(esk12_0)
| ~ cowlThing(esk11_0)
| cowlNothing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_17,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_19,plain,
! [X24] :
( ( cTOP(X24)
| ~ cC18(X24) )
& ( cC16(X24)
| ~ cC18(X24) )
& ( ~ cTOP(X24)
| ~ cC16(X24)
| cC18(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])]) ).
cnf(c_0_20,plain,
( cC18(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
cTEST(iV16560),
inference(split_conjunct,[status(thm)],[axiom_18]) ).
cnf(c_0_22,negated_conjecture,
( xsd_string(esk12_0)
| cowlNothing(esk11_0)
| ~ xsd_integer(esk12_0)
| ~ cowlThing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_24,plain,
! [X5] :
( ( ~ xsd_string(X5)
| ~ xsd_integer(X5) )
& ( xsd_integer(X5)
| xsd_string(X5) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_25,plain,
! [X23] :
( ( cC14(X23)
| ~ cC16(X23) )
& ( cC8(X23)
| ~ cC16(X23) )
& ( ~ cC14(X23)
| ~ cC8(X23)
| cC16(X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
cnf(c_0_26,plain,
( cC16(X1)
| ~ cC18(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
cC18(iV16560),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( xsd_integer(esk12_0)
| cowlNothing(esk11_0)
| ~ xsd_string(esk12_0)
| ~ cowlThing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( cowlNothing(esk11_0)
| xsd_string(esk12_0)
| ~ xsd_integer(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC6(iV16561) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_30,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( cC14(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
cC16(iV16560),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( cowlNothing(esk11_0)
| xsd_integer(esk12_0)
| ~ xsd_string(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC6(iV16561) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_23]),c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_35,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ xsd_integer(esk12_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_36,plain,
cC14(iV16560),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ xsd_string(esk12_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_30]),c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562)
| ~ xsd_integer(esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_27])]),c_0_33]),c_0_36])]) ).
cnf(c_0_39,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_40,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562)
| ~ xsd_string(esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_27])]),c_0_33]),c_0_36])]) ).
fof(c_0_41,plain,
! [X18] :
( ( cC10xcomp(X18)
| ~ cC12(X18) )
& ( cC2xcomp(X18)
| ~ cC12(X18) )
& ( ~ cC10xcomp(X18)
| ~ cC2xcomp(X18)
| cC12(X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
cnf(c_0_42,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_43,plain,
( cC8(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( cC12(X1)
| ~ cC10xcomp(X1)
| ~ cC2xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,plain,
cC10xcomp(iV16562),
inference(split_conjunct,[status(thm)],[axiom_28]) ).
cnf(c_0_46,plain,
cC2xcomp(iV16562),
inference(split_conjunct,[status(thm)],[axiom_29]) ).
fof(c_0_47,plain,
! [X45] :
( ( cC4xcomp(X45)
| ~ cC6(X45) )
& ( cC2xcomp(X45)
| ~ cC6(X45) )
& ( ~ cC4xcomp(X45)
| ~ cC2xcomp(X45)
| cC6(X45) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])])]) ).
cnf(c_0_48,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_33])]) ).
cnf(c_0_49,plain,
cC12(iV16562),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_50,plain,
( cC6(X1)
| ~ cC4xcomp(X1)
| ~ cC2xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
cC4xcomp(iV16561),
inference(split_conjunct,[status(thm)],[axiom_24]) ).
cnf(c_0_52,plain,
cC2xcomp(iV16561),
inference(split_conjunct,[status(thm)],[axiom_25]) ).
cnf(c_0_53,negated_conjecture,
~ cC6(iV16561),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
cnf(c_0_54,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS158+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 01:47:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.61 % Total time : 0.012000 s
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time : 0.015000 s
%------------------------------------------------------------------------------