TSTP Solution File: KRS181+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS181+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 05:40:45 EDT 2023
% Result : Theorem 0.12s 0.47s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 42
% Syntax : Number of formulae : 63 ( 8 unt; 39 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 54 ( 19 ~; 19 |; 10 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 18 >; 18 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 21 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn; 26 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
status: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
mighta: ( $i * $i ) > $o ).
tff(decl_24,type,
isa: ( $i * $i ) > $o ).
tff(decl_25,type,
nota: ( $i * $i ) > $o ).
tff(decl_26,type,
nevera: ( $i * $i ) > $o ).
tff(decl_27,type,
xora: ( $i * $i ) > $o ).
tff(decl_28,type,
model: ( $i * $i ) > $o ).
tff(decl_29,type,
not: $i > $i ).
tff(decl_30,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_31,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_32,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_33,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_34,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk11_0: $i ).
tff(decl_41,type,
esk12_0: $i ).
tff(decl_42,type,
esk13_0: $i ).
tff(decl_43,type,
esk14_0: $i ).
tff(decl_44,type,
esk15_0: $i ).
tff(decl_45,type,
esk16_0: $i ).
tff(decl_46,type,
esk17_0: $i ).
tff(decl_47,type,
esk18_0: $i ).
tff(decl_48,type,
esk19_0: $i ).
tff(decl_49,type,
esk20_0: $i ).
tff(decl_50,type,
esk21_0: $i ).
tff(decl_51,type,
esk22_0: $i ).
tff(decl_52,type,
esk23_0: $i ).
tff(decl_53,type,
esk24_0: $i ).
tff(decl_54,type,
esk25_0: $i ).
tff(decl_55,type,
esk26_0: $i ).
tff(decl_56,type,
esk27_0: $i ).
tff(decl_57,type,
esk28_0: $i ).
tff(decl_58,type,
esk29_0: $i ).
tff(decl_59,type,
esk30_0: $i ).
tff(decl_60,type,
esk31_0: $i ).
fof(nota,axiom,
! [X1,X2] :
( ? [X3,X4] :
( status(X3,X4,X1)
& ~ status(X3,X4,X2) )
<=> nota(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(nota_isa_nota,conjecture,
! [X1,X2,X11] :
( ( isa(X1,X2)
& nota(X1,X11) )
=> nota(X2,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_isa_nota) ).
fof(isa,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> status(X3,X4,X2) )
<=> isa(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(c_0_3,plain,
! [X1,X2] :
( ? [X3,X4] :
( status(X3,X4,X1)
& ~ status(X3,X4,X2) )
<=> nota(X1,X2) ),
inference(fof_simplification,[status(thm)],[nota]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X11] :
( ( isa(X1,X2)
& nota(X1,X11) )
=> nota(X2,X11) ),
inference(assume_negation,[status(cth)],[nota_isa_nota]) ).
fof(c_0_5,plain,
! [X28,X29,X30,X31,X32,X33] :
( ( ~ status(X30,X31,X28)
| status(X30,X31,X29)
| nota(X28,X29) )
& ( status(esk5_2(X32,X33),esk6_2(X32,X33),X32)
| ~ nota(X32,X33) )
& ( ~ status(esk5_2(X32,X33),esk6_2(X32,X33),X33)
| ~ nota(X32,X33) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_6,negated_conjecture,
( isa(esk29_0,esk30_0)
& nota(esk29_0,esk31_0)
& ~ nota(esk30_0,esk31_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( status(esk5_2(X1,X2),esk6_2(X1,X2),X1)
| ~ nota(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
nota(esk29_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( status(X1,X2,X4)
| nota(X3,X4)
| ~ status(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
status(esk5_2(esk29_0,esk31_0),esk6_2(esk29_0,esk31_0),esk29_0),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( nota(esk29_0,X1)
| status(esk5_2(esk29_0,esk31_0),esk6_2(esk29_0,esk31_0),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( ~ status(esk5_2(X1,X2),esk6_2(X1,X2),X2)
| ~ nota(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( nota(esk29_0,X1)
| nota(X1,X2)
| status(esk5_2(esk29_0,esk31_0),esk6_2(esk29_0,esk31_0),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ nota(esk30_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( nota(X1,esk31_0)
| nota(esk29_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_8])]) ).
fof(c_0_16,plain,
! [X20,X21,X24,X25,X26,X27] :
( ( status(esk3_2(X20,X21),esk4_2(X20,X21),X20)
| isa(X20,X21) )
& ( ~ status(esk3_2(X20,X21),esk4_2(X20,X21),X21)
| isa(X20,X21) )
& ( ~ isa(X24,X25)
| ~ status(X26,X27,X24)
| status(X26,X27,X25) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[isa])])])])])]) ).
cnf(c_0_17,negated_conjecture,
nota(esk29_0,esk30_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( status(X3,X4,X2)
| ~ isa(X1,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
status(esk5_2(esk29_0,esk30_0),esk6_2(esk29_0,esk30_0),esk29_0),
inference(spm,[status(thm)],[c_0_7,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( status(esk5_2(esk29_0,esk30_0),esk6_2(esk29_0,esk30_0),X1)
| ~ isa(esk29_0,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
isa(esk29_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
status(esk5_2(esk29_0,esk30_0),esk6_2(esk29_0,esk30_0),esk30_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_22]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS181+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon Aug 28 01:16:30 EDT 2023
% 0.09/0.27 % CPUTime :
% 0.12/0.45 start to proof: theBenchmark
% 0.12/0.47 % Version : CSE_E---1.5
% 0.12/0.47 % Problem : theBenchmark.p
% 0.12/0.47 % Proof found
% 0.12/0.47 % SZS status Theorem for theBenchmark.p
% 0.12/0.47 % SZS output start Proof
% See solution above
% 0.12/0.48 % Total time : 0.013000 s
% 0.12/0.48 % SZS output end Proof
% 0.12/0.48 % Total time : 0.015000 s
%------------------------------------------------------------------------------