TSTP Solution File: KRS143+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS143+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 05:40:36 EDT 2023
% Result : Theorem 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 72 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 243 ( 20 equ)
% Maximal formula atoms : 46 ( 4 avg)
% Number of connectives : 287 ( 104 ~; 150 |; 22 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 7 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 58 ( 21 sgn; 25 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cc: $i > $o ).
tff(decl_23,type,
cowlNothing: $i > $o ).
tff(decl_24,type,
cowlThing: $i > $o ).
tff(decl_25,type,
rp: ( $i * $i ) > $o ).
tff(decl_26,type,
xsd_integer: $i > $o ).
tff(decl_27,type,
xsd_string: $i > $o ).
tff(decl_28,type,
esk1_1: $i > $i ).
tff(decl_29,type,
esk2_0: $i ).
tff(decl_30,type,
esk3_0: $i ).
tff(decl_31,type,
esk4_0: $i ).
tff(decl_32,type,
esk5_0: $i ).
tff(decl_33,type,
esk6_0: $i ).
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( cc(X4)
=> ( ? [X5] : rp(X4,X5)
& ! [X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X4] :
( cc(X4)
=> ? [X5] : rp(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4] :
( cc(X4)
=> ! [X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(c_0_5,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( cc(X4)
=> ( ? [X5] : rp(X4,X5)
& ! [X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_6,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_7,negated_conjecture,
! [X33] :
( ( cc(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X33)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X33)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( esk5_0 != esk6_0
| ~ rp(esk4_0,X33)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( cc(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X33)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X33)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( esk5_0 != esk6_0
| ~ rp(esk4_0,X33)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_8,plain,
! [X23] :
( cowlThing(X23)
& ~ cowlNothing(X23) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_10,negated_conjecture,
( rp(esk4_0,esk5_0)
| xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| ~ rp(esk4_0,X1)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X24] :
( ( ~ xsd_string(X24)
| ~ xsd_integer(X24) )
& ( xsd_integer(X24)
| xsd_string(X24) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
cnf(c_0_13,negated_conjecture,
( cc(esk4_0)
| xsd_string(esk3_0)
| cowlNothing(esk2_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( rp(esk4_0,esk5_0)
| xsd_string(esk3_0)
| cowlNothing(esk2_0)
| ~ rp(esk4_0,X1)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_16,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( cc(esk4_0)
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11])]) ).
cnf(c_0_19,negated_conjecture,
( cc(esk4_0)
| xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11])]) ).
cnf(c_0_21,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
fof(c_0_22,plain,
! [X25] :
( ~ cc(X25)
| rp(X25,esk1_1(X25)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
cnf(c_0_23,negated_conjecture,
( xsd_string(esk3_0)
| cc(esk4_0)
| ~ xsd_integer(esk3_0) ),
inference(sr,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( cc(esk4_0)
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_11])]) ).
cnf(c_0_25,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_16]),c_0_21]) ).
cnf(c_0_26,plain,
( rp(X1,esk1_1(X1))
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( xsd_string(esk3_0)
| cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_28,negated_conjecture,
( rp(esk4_0,esk6_0)
| xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| ~ rp(esk4_0,X1)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
( xsd_integer(esk3_0)
| cc(esk4_0)
| ~ xsd_string(esk3_0) ),
inference(sr,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( rp(esk4_0,esk6_0)
| xsd_string(esk3_0)
| cowlNothing(esk2_0)
| ~ rp(esk4_0,X1)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk6_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_11])]) ).
fof(c_0_34,plain,
! [X27,X28,X29] :
( ~ cc(X27)
| ~ rp(X27,X28)
| ~ rp(X27,X29)
| X28 = X29 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_35,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk6_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_11])]) ).
cnf(c_0_38,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_16]),c_0_17]) ).
cnf(c_0_39,plain,
( X2 = X3
| ~ cc(X1)
| ~ rp(X1,X2)
| ~ rp(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
rp(esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_30]) ).
cnf(c_0_41,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_37,c_0_16]),c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( X1 = esk5_0
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_26]),c_0_27]) ).
cnf(c_0_45,negated_conjecture,
( xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| esk5_0 != esk6_0
| ~ rp(esk4_0,X1)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_46,negated_conjecture,
( X1 = esk5_0
| xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_47,negated_conjecture,
rp(esk4_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_43]),c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( xsd_string(esk3_0)
| cowlNothing(esk2_0)
| esk5_0 != esk6_0
| ~ rp(esk4_0,X1)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_49,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| esk6_0 != esk5_0
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_11])]) ).
cnf(c_0_50,negated_conjecture,
( esk6_0 = esk5_0
| xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| esk6_0 != esk5_0
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_11])]) ).
cnf(c_0_52,negated_conjecture,
( esk6_0 != esk5_0
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_49,c_0_16]),c_0_35]) ).
cnf(c_0_53,negated_conjecture,
( esk6_0 = esk5_0
| xsd_integer(esk3_0)
| cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( esk6_0 != esk5_0
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_51,c_0_16]),c_0_17]),c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( X1 = esk5_0
| xsd_integer(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_54]) ).
cnf(c_0_56,negated_conjecture,
( esk6_0 = esk5_0
| xsd_integer(esk3_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
esk6_0 = esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_56]),c_0_50]) ).
cnf(c_0_58,negated_conjecture,
~ rp(esk4_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_57])]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_40,c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS143+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 01:29:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.61 % Version : CSE_E---1.5
% 0.21/0.61 % Problem : theBenchmark.p
% 0.21/0.61 % Proof found
% 0.21/0.61 % SZS status Theorem for theBenchmark.p
% 0.21/0.61 % SZS output start Proof
% See solution above
% 0.21/0.61 % Total time : 0.007000 s
% 0.21/0.61 % SZS output end Proof
% 0.21/0.61 % Total time : 0.010000 s
%------------------------------------------------------------------------------