TSTP Solution File: KRS179+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 0.54s 0.62s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 41
% Syntax : Number of formulae : 55 ( 4 unt; 39 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 35 ( 11 ~; 14 |; 6 &)
% ( 1 <=>; 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 : 31 ( 0 sgn; 16 !; 0 ?; 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(isa,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> status(X3,X4,X2) )
<=> isa(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(isa_transitive,conjecture,
! [X1,X2,X11] :
( ( isa(X1,X2)
& isa(X2,X11) )
=> isa(X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_transitive) ).
fof(c_0_2,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])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X11] :
( ( isa(X1,X2)
& isa(X2,X11) )
=> isa(X1,X11) ),
inference(assume_negation,[status(cth)],[isa_transitive]) ).
cnf(c_0_4,plain,
( status(X3,X4,X2)
| ~ isa(X1,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,plain,
( status(esk3_2(X1,X2),esk4_2(X1,X2),X1)
| isa(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_6,negated_conjecture,
( isa(esk29_0,esk30_0)
& isa(esk30_0,esk31_0)
& ~ isa(esk29_0,esk31_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( isa(X1,X2)
| status(esk3_2(X1,X2),esk4_2(X1,X2),X3)
| ~ isa(X1,X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
isa(esk29_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( isa(esk29_0,X1)
| status(esk3_2(esk29_0,X1),esk4_2(esk29_0,X1),esk30_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( isa(esk29_0,X1)
| status(esk3_2(esk29_0,X1),esk4_2(esk29_0,X1),X2)
| ~ isa(esk30_0,X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
isa(esk30_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( isa(X1,X2)
| ~ status(esk3_2(X1,X2),esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( isa(esk29_0,X1)
| status(esk3_2(esk29_0,X1),esk4_2(esk29_0,X1),esk31_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ isa(esk29_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n023.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 01:22:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.53/0.58 start to proof: theBenchmark
% 0.54/0.62 % Version : CSE_E---1.5
% 0.54/0.62 % Problem : theBenchmark.p
% 0.54/0.62 % Proof found
% 0.54/0.62 % SZS status Theorem for theBenchmark.p
% 0.54/0.62 % SZS output start Proof
% See solution above
% 0.54/0.63 % Total time : 0.029000 s
% 0.54/0.63 % SZS output end Proof
% 0.54/0.63 % Total time : 0.032000 s
%------------------------------------------------------------------------------