TSTP Solution File: KRS172+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS172+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 : n002.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 05:40:43 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 70 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 186 ( 9 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 206 ( 78 ~; 99 |; 17 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 7 >; 2 *; 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 : 56 ( 4 sgn; 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cd: $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,
rq: ( $i * $i ) > $o ).
tff(decl_27,type,
xsd_integer: $i > $o ).
tff(decl_28,type,
xsd_string: $i > $o ).
tff(decl_29,type,
iv: $i ).
tff(decl_30,type,
esk1_0: $i ).
tff(decl_31,type,
esk2_0: $i ).
tff(decl_32,type,
esk3_0: $i ).
tff(decl_33,type,
esk4_0: $i ).
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5] :
( rq(X4,X5)
<=> rp(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_7,axiom,
! [X4,X5] :
( rq(X4,X5)
=> cd(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_5,axiom,
! [X4,X5] :
( rp(X4,X5)
=> cd(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_2,axiom,
! [X4] :
( cd(X4)
<=> rq(X4,iv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4] :
( cd(X4)
<=> rp(X4,iv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_6,axiom,
! [X4,X5,X6] :
( ( rq(X4,X5)
& rq(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
! [X4,X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(c_0_9,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5] :
( rq(X4,X5)
<=> rp(X4,X5) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_10,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_11,negated_conjecture,
( ( ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_12,plain,
! [X29] :
( cowlThing(X29)
& ~ cowlNothing(X29) ),
inference(variable_rename,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_16,negated_conjecture,
( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ xsd_string(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_18,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,plain,
! [X30] :
( ( ~ xsd_string(X30)
| ~ xsd_integer(X30) )
& ( xsd_integer(X30)
| xsd_string(X30) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
cnf(c_0_20,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
( xsd_integer(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0) ),
inference(sr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( xsd_string(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[c_0_20,c_0_18]) ).
fof(c_0_24,plain,
! [X41,X42] :
( ~ rq(X41,X42)
| cd(X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
cnf(c_0_25,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( xsd_integer(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( xsd_string(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[c_0_23,c_0_22]) ).
fof(c_0_28,plain,
! [X36,X37] :
( ~ rp(X36,X37)
| cd(X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
fof(c_0_29,plain,
! [X31] :
( ( ~ cd(X31)
| rq(X31,iv) )
& ( ~ rq(X31,iv)
| cd(X31) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
cnf(c_0_30,plain,
( cd(X1)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( cd(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_33,plain,
! [X32] :
( ( ~ cd(X32)
| rp(X32,iv) )
& ( ~ rp(X32,iv)
| cd(X32) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
fof(c_0_34,plain,
! [X38,X39,X40] :
( ~ rq(X38,X39)
| ~ rq(X38,X40)
| X39 = X40 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
cnf(c_0_35,plain,
( rq(X1,iv)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
cd(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
fof(c_0_37,plain,
! [X33,X34,X35] :
( ~ rp(X33,X34)
| ~ rp(X33,X35)
| X34 = X35 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
cnf(c_0_38,plain,
( rp(X1,iv)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,plain,
( X2 = X3
| ~ rq(X1,X2)
| ~ rq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
rq(esk3_0,iv),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( X2 = X3
| ~ rp(X1,X2)
| ~ rp(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
rp(esk3_0,iv),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
cnf(c_0_44,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_14])]) ).
cnf(c_0_45,negated_conjecture,
( X1 = iv
| ~ rq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( X1 = iv
| ~ rp(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[c_0_44,c_0_18]) ).
cnf(c_0_48,negated_conjecture,
iv = esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_31]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_50,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[c_0_47,c_0_22]) ).
cnf(c_0_51,negated_conjecture,
rq(esk3_0,esk4_0),
inference(rw,[status(thm)],[c_0_41,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
rp(esk3_0,esk4_0),
inference(rw,[status(thm)],[c_0_43,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_14])]) ).
cnf(c_0_54,negated_conjecture,
xsd_integer(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]),c_0_52])]) ).
cnf(c_0_55,negated_conjecture,
( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[c_0_53,c_0_18]) ).
cnf(c_0_56,negated_conjecture,
~ xsd_string(esk2_0),
inference(spm,[status(thm)],[c_0_25,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_51])]),c_0_54]),c_0_52])]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS172+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Mon Aug 28 01:37:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 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
% 0.20/0.59 % Total time : 0.009000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.012000 s
%------------------------------------------------------------------------------