TSTP Solution File: KRS175+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS175+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 : n027.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 05:40:44 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 74 ( 12 unt; 12 typ; 0 def)
% Number of atoms : 261 ( 54 equ)
% Maximal formula atoms : 50 ( 4 avg)
% Number of connectives : 338 ( 139 ~; 167 |; 23 &)
% ( 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 : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 2 sgn; 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cA: $i > $o ).
tff(decl_23,type,
cA_and_B: $i > $o ).
tff(decl_24,type,
cB: $i > $o ).
tff(decl_25,type,
cowlNothing: $i > $o ).
tff(decl_26,type,
cowlThing: $i > $o ).
tff(decl_27,type,
xsd_integer: $i > $o ).
tff(decl_28,type,
xsd_string: $i > $o ).
tff(decl_29,type,
ia: $i ).
tff(decl_30,type,
ib: $i ).
tff(decl_31,type,
esk1_0: $i ).
tff(decl_32,type,
esk2_0: $i ).
tff(decl_33,type,
esk3_0: $i ).
fof(the_axiom,conjecture,
( ! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( cA_and_B(X3)
<=> ( X3 = ib
| X3 = ia ) )
& cowlThing(ia)
& cowlThing(ib) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_4,axiom,
! [X3] :
( cB(X3)
<=> X3 = ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_2,axiom,
! [X3] :
( cA(X3)
<=> X3 = ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X3] :
( cA_and_B(X3)
<=> ( cA(X3)
| cB(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(c_0_6,negated_conjecture,
~ ( ! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( cA_and_B(X3)
<=> ( X3 = ib
| X3 = ia ) )
& cowlThing(ia)
& cowlThing(ib) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_7,plain,
! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_8,negated_conjecture,
( ( esk3_0 != ib
| ~ cA_and_B(esk3_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) )
& ( esk3_0 != ia
| ~ cA_and_B(esk3_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) )
& ( cA_and_B(esk3_0)
| esk3_0 = ib
| esk3_0 = ia
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) )
& ( esk3_0 != ib
| ~ cA_and_B(esk3_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) )
& ( esk3_0 != ia
| ~ cA_and_B(esk3_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) )
& ( cA_and_B(esk3_0)
| esk3_0 = ib
| esk3_0 = ia
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X18] :
( cowlThing(X18)
& ~ cowlNothing(X18) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_11,plain,
! [X22] :
( ( ~ cB(X22)
| X22 = ib )
& ( X22 != ib
| cB(X22) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
cnf(c_0_12,negated_conjecture,
( cA_and_B(esk3_0)
| esk3_0 = ib
| esk3_0 = ia
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X19] :
( ( ~ xsd_string(X19)
| ~ xsd_integer(X19) )
& ( xsd_integer(X19)
| xsd_string(X19) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
( cA_and_B(esk3_0)
| esk3_0 = ib
| esk3_0 = ia
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| esk3_0 != ib
| ~ cA_and_B(esk3_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| esk3_0 != ia
| ~ cA_and_B(esk3_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_18,plain,
! [X20] :
( ( ~ cA(X20)
| X20 = ia )
& ( X20 != ia
| cA(X20) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
fof(c_0_19,plain,
! [X21] :
( ( ~ cA_and_B(X21)
| cA(X21)
| cB(X21) )
& ( ~ cA(X21)
| cA_and_B(X21) )
& ( ~ cB(X21)
| cA_and_B(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_20,plain,
( cB(X1)
| X1 != ib ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| cA_and_B(esk3_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]),c_0_13])]) ).
cnf(c_0_22,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( esk3_0 = ia
| esk3_0 = ib
| cA_and_B(esk3_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13]),c_0_13]),c_0_13])]) ).
cnf(c_0_25,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| esk3_0 != ib
| ~ cA_and_B(esk3_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| esk3_0 != ib
| ~ cA_and_B(esk3_0)
| ~ xsd_string(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13]),c_0_13]),c_0_13])]) ).
cnf(c_0_27,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| esk3_0 != ia
| ~ cA_and_B(esk3_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| esk3_0 != ia
| ~ cA_and_B(esk3_0)
| ~ xsd_string(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13]),c_0_13]),c_0_13])]) ).
cnf(c_0_29,plain,
( cA(X1)
| X1 != ia ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( cA_and_B(X1)
| ~ cB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
cB(ib),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
( ib = esk3_0
| ia = esk3_0
| cA_and_B(esk3_0)
| ~ xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_33,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,negated_conjecture,
( ib = esk3_0
| ia = esk3_0
| cA_and_B(esk3_0)
| ~ xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_24,c_0_22]),c_0_23]) ).
cnf(c_0_35,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| esk3_0 != ib
| ~ cA_and_B(esk3_0)
| ~ xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_13]),c_0_13]),c_0_13])]) ).
cnf(c_0_36,negated_conjecture,
( xsd_integer(esk2_0)
| ib != esk3_0
| ~ xsd_string(esk2_0)
| ~ cA_and_B(esk3_0) ),
inference(sr,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_37,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| esk3_0 != ia
| ~ cA_and_B(esk3_0)
| ~ xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_13]),c_0_13]),c_0_13])]) ).
cnf(c_0_38,negated_conjecture,
( xsd_integer(esk2_0)
| ia != esk3_0
| ~ xsd_string(esk2_0)
| ~ cA_and_B(esk3_0) ),
inference(sr,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_39,plain,
( cA_and_B(X1)
| ~ cA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_40,plain,
cA(ia),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
cA_and_B(ib),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_42,negated_conjecture,
( ib = esk3_0
| ia = esk3_0
| cA_and_B(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( xsd_string(esk2_0)
| ib != esk3_0
| ~ xsd_integer(esk2_0)
| ~ cA_and_B(esk3_0) ),
inference(sr,[status(thm)],[c_0_35,c_0_22]) ).
cnf(c_0_44,negated_conjecture,
( ib != esk3_0
| ~ xsd_string(esk2_0)
| ~ cA_and_B(esk3_0) ),
inference(csr,[status(thm)],[c_0_36,c_0_23]) ).
cnf(c_0_45,negated_conjecture,
( xsd_string(esk2_0)
| ia != esk3_0
| ~ xsd_integer(esk2_0)
| ~ cA_and_B(esk3_0) ),
inference(sr,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_46,negated_conjecture,
( ia != esk3_0
| ~ xsd_string(esk2_0)
| ~ cA_and_B(esk3_0) ),
inference(csr,[status(thm)],[c_0_38,c_0_23]) ).
cnf(c_0_47,plain,
cA_and_B(ia),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( ia = esk3_0
| cA_and_B(esk3_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( ib != esk3_0
| ~ cA_and_B(esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_33]),c_0_44]) ).
cnf(c_0_50,plain,
( X1 = ib
| ~ cB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,negated_conjecture,
( ia != esk3_0
| ~ xsd_integer(esk2_0)
| ~ cA_and_B(esk3_0) ),
inference(csr,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
cA_and_B(esk3_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
~ cB(esk3_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50])]),c_0_30]) ).
cnf(c_0_54,plain,
( cA(X1)
| cB(X1)
| ~ cA_and_B(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,plain,
( X1 = ia
| ~ cA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_56,negated_conjecture,
( ia != esk3_0
| ~ xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).
cnf(c_0_57,negated_conjecture,
cA(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_52])]) ).
cnf(c_0_58,negated_conjecture,
( ~ xsd_string(esk2_0)
| ~ cA(esk3_0) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_55])]),c_0_39]) ).
cnf(c_0_59,negated_conjecture,
~ xsd_integer(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_55])]),c_0_57])]) ).
cnf(c_0_60,negated_conjecture,
~ xsd_string(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_57])]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_33]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS175+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
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 28 01:55:06 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.009000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.011000 s
%------------------------------------------------------------------------------