TSTP Solution File: KRS170+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS170+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 : n004.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 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 65 ( 5 unt; 12 typ; 0 def)
% Number of atoms : 234 ( 0 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 285 ( 104 ~; 152 |; 20 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 6 >; 2 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 30 ( 2 sgn; 22 !; 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,
rhasLeader: ( $i * $i ) > $o ).
tff(decl_27,type,
rhasHead: ( $i * $i ) > $o ).
tff(decl_28,type,
esk1_0: $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,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
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_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X1,X2] :
( rhasLeader(X1,X2)
<=> rhasHead(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_5,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_6,negated_conjecture,
( ( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(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_4])])])]) ).
fof(c_0_7,plain,
! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_11,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_14,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X5,X6] :
( ( ~ rhasLeader(X5,X6)
| rhasHead(X5,X6) )
& ( ~ rhasHead(X5,X6)
| rhasLeader(X5,X6) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
fof(c_0_16,plain,
! [X4] :
( ( ~ xsd_string(X4)
| ~ xsd_integer(X4) )
& ( xsd_integer(X4)
| xsd_string(X4) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_17,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9])]) ).
cnf(c_0_21,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_9])]) ).
cnf(c_0_22,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_23,plain,
( rhasHead(X1,X2)
| ~ rhasLeader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_9])]) ).
cnf(c_0_26,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_9])]) ).
cnf(c_0_27,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_9])]) ).
cnf(c_0_28,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_29,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_30,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| rhasLeader(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_6]) ).
cnf(c_0_32,plain,
( rhasLeader(X1,X2)
| ~ rhasHead(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_25,c_0_14]),c_0_24]) ).
cnf(c_0_34,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_string(esk2_0) ),
inference(sr,[status(thm)],[c_0_26,c_0_14]) ).
cnf(c_0_35,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_27,c_0_14]),c_0_24]) ).
cnf(c_0_36,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| rhasLeader(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_6]) ).
cnf(c_0_37,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_38,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_29,c_0_24]),c_0_30]) ).
cnf(c_0_39,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_string(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_9])]) ).
cnf(c_0_40,negated_conjecture,
( rhasLeader(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_24]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_9])]) ).
cnf(c_0_43,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_37]),c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_39,c_0_14]),c_0_24]) ).
cnf(c_0_45,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_23]),c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_42,c_0_14]),c_0_24]) ).
cnf(c_0_47,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
cnf(c_0_48,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_50,negated_conjecture,
xsd_string(esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_47]),c_0_38]) ).
cnf(c_0_51,negated_conjecture,
xsd_integer(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_48]),c_0_41]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 01:52:22 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.006000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.008000 s
%------------------------------------------------------------------------------