TSTP Solution File: KRS099+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS099+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 : n022.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 05:40:14 EDT 2023
% Result : Unsatisfiable 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of formulae : 31 ( 6 unt; 18 typ; 0 def)
% Number of atoms : 236 ( 80 equ)
% Maximal formula atoms : 203 ( 18 avg)
% Number of connectives : 326 ( 103 ~; 183 |; 36 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 17 >; 1 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn; 16 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cUnsatisfiable: $i > $o ).
tff(decl_23,type,
ca: $i > $o ).
tff(decl_24,type,
cc: $i > $o ).
tff(decl_25,type,
cd: $i > $o ).
tff(decl_26,type,
cowlNothing: $i > $o ).
tff(decl_27,type,
cowlThing: $i > $o ).
tff(decl_28,type,
rtt: ( $i * $i ) > $o ).
tff(decl_29,type,
xsd_integer: $i > $o ).
tff(decl_30,type,
xsd_string: $i > $o ).
tff(decl_31,type,
i2003_11_14_17_20_29215: $i ).
tff(decl_32,type,
esk1_1: $i > $i ).
tff(decl_33,type,
esk2_1: $i > $i ).
tff(decl_34,type,
esk3_1: $i > $i ).
tff(decl_35,type,
esk4_1: $i > $i ).
tff(decl_36,type,
esk5_1: $i > $i ).
tff(decl_37,type,
esk6_1: $i > $i ).
tff(decl_38,type,
esk7_1: $i > $i ).
tff(decl_39,type,
esk8_1: $i > $i ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5,X6,X7] :
( rtt(X4,X5)
& rtt(X4,X6)
& rtt(X4,X7)
& X5 != X6
& X5 != X7
& X6 != X7 )
& ! [X8] :
( rtt(X4,X8)
=> ca(X8) )
& ! [X5,X6] :
( ( rtt(X4,X5)
& rtt(X4,X6) )
=> X5 = X6 )
& ! [X5,X6] :
( ( rtt(X4,X5)
& rtt(X4,X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_5,axiom,
cUnsatisfiable(i2003_11_14_17_20_29215),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(c_0_2,plain,
! [X33,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
( ( rtt(X33,esk1_1(X33))
| ~ cUnsatisfiable(X33) )
& ( rtt(X33,esk2_1(X33))
| ~ cUnsatisfiable(X33) )
& ( rtt(X33,esk3_1(X33))
| ~ cUnsatisfiable(X33) )
& ( esk1_1(X33) != esk2_1(X33)
| ~ cUnsatisfiable(X33) )
& ( esk1_1(X33) != esk3_1(X33)
| ~ cUnsatisfiable(X33) )
& ( esk2_1(X33) != esk3_1(X33)
| ~ cUnsatisfiable(X33) )
& ( ~ rtt(X33,X37)
| ca(X37)
| ~ cUnsatisfiable(X33) )
& ( ~ rtt(X33,X38)
| ~ rtt(X33,X39)
| X38 = X39
| ~ cUnsatisfiable(X33) )
& ( ~ rtt(X33,X40)
| ~ rtt(X33,X41)
| X40 = X41
| ~ cUnsatisfiable(X33) )
& ( rtt(X42,esk7_1(X42))
| rtt(X42,esk5_1(X42))
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk8_1(X42))
| rtt(X42,esk5_1(X42))
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( esk7_1(X42) != esk8_1(X42)
| rtt(X42,esk5_1(X42))
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk7_1(X42))
| rtt(X42,esk6_1(X42))
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk8_1(X42))
| rtt(X42,esk6_1(X42))
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( esk7_1(X42) != esk8_1(X42)
| rtt(X42,esk6_1(X42))
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk7_1(X42))
| esk5_1(X42) != esk6_1(X42)
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk8_1(X42))
| esk5_1(X42) != esk6_1(X42)
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( esk7_1(X42) != esk8_1(X42)
| esk5_1(X42) != esk6_1(X42)
| rtt(X42,esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk7_1(X42))
| rtt(X42,esk5_1(X42))
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk8_1(X42))
| rtt(X42,esk5_1(X42))
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( esk7_1(X42) != esk8_1(X42)
| rtt(X42,esk5_1(X42))
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk7_1(X42))
| rtt(X42,esk6_1(X42))
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk8_1(X42))
| rtt(X42,esk6_1(X42))
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( esk7_1(X42) != esk8_1(X42)
| rtt(X42,esk6_1(X42))
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk7_1(X42))
| esk5_1(X42) != esk6_1(X42)
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( rtt(X42,esk8_1(X42))
| esk5_1(X42) != esk6_1(X42)
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) )
& ( esk7_1(X42) != esk8_1(X42)
| esk5_1(X42) != esk6_1(X42)
| ~ ca(esk4_1(X42))
| ~ rtt(X42,X43)
| ~ rtt(X42,X44)
| ~ rtt(X42,X45)
| X43 = X44
| X43 = X45
| X44 = X45
| cUnsatisfiable(X42) ) ),
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)],[axiom_2])])])])])]) ).
cnf(c_0_3,plain,
( rtt(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(split_conjunct,[status(thm)],[axiom_5]) ).
cnf(c_0_5,plain,
( X2 = X3
| ~ rtt(X1,X2)
| ~ rtt(X1,X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,plain,
rtt(i2003_11_14_17_20_29215,esk3_1(i2003_11_14_17_20_29215)),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,plain,
( rtt(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,plain,
( X1 = esk3_1(i2003_11_14_17_20_29215)
| ~ rtt(i2003_11_14_17_20_29215,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4])]) ).
cnf(c_0_9,plain,
rtt(i2003_11_14_17_20_29215,esk2_1(i2003_11_14_17_20_29215)),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_10,plain,
( esk2_1(X1) != esk3_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,plain,
esk3_1(i2003_11_14_17_20_29215) = esk2_1(i2003_11_14_17_20_29215),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 01:21:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.56 % Version : CSE_E---1.5
% 0.19/0.56 % Problem : theBenchmark.p
% 0.19/0.56 % Proof found
% 0.19/0.56 % SZS status Theorem for theBenchmark.p
% 0.19/0.56 % SZS output start Proof
% See solution above
% 0.19/0.56 % Total time : 0.010000 s
% 0.19/0.56 % SZS output end Proof
% 0.19/0.56 % Total time : 0.013000 s
%------------------------------------------------------------------------------