TSTP Solution File: KRS071+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS071+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 05:40:07 EDT 2023
% Result : Unsatisfiable 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 52 ( 8 unt; 19 typ; 0 def)
% Number of atoms : 161 ( 27 equ)
% Maximal formula atoms : 67 ( 4 avg)
% Number of connectives : 221 ( 93 ~; 99 |; 25 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 18 >; 2 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 38 ( 0 sgn; 16 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cUnsatisfiable: $i > $o ).
tff(decl_23,type,
cowlNothing: $i > $o ).
tff(decl_24,type,
cowlThing: $i > $o ).
tff(decl_25,type,
cp1: $i > $o ).
tff(decl_26,type,
cp2: $i > $o ).
tff(decl_27,type,
cp3: $i > $o ).
tff(decl_28,type,
cp4: $i > $o ).
tff(decl_29,type,
cp5: $i > $o ).
tff(decl_30,type,
rinvR: ( $i * $i ) > $o ).
tff(decl_31,type,
rr: ( $i * $i ) > $o ).
tff(decl_32,type,
xsd_integer: $i > $o ).
tff(decl_33,type,
xsd_string: $i > $o ).
tff(decl_34,type,
i2003_11_14_17_18_39380: $i ).
tff(decl_35,type,
esk1_1: $i > $i ).
tff(decl_36,type,
esk2_1: $i > $i ).
tff(decl_37,type,
esk3_1: $i > $i ).
tff(decl_38,type,
esk4_1: $i > $i ).
tff(decl_39,type,
esk5_1: $i > $i ).
tff(decl_40,type,
esk6_1: $i > $i ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& cp1(X5) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5) )
& ? [X5] :
( rr(X4,X5)
& cp3(X5) )
& ! [X6,X7,X8] :
( ( rr(X4,X6)
& rr(X4,X7)
& rr(X4,X8) )
=> ( X6 = X7
| X6 = X8
| X7 = X8 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_18_39380),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_4,axiom,
! [X4] :
( cp2(X4)
=> ~ ( cp4(X4)
| cp3(X4)
| cp5(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> ~ ( cp4(X4)
| cp2(X4)
| cp3(X4)
| cp5(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(c_0_4,plain,
! [X43,X47,X48,X49,X50,X51,X52,X53] :
( ( rr(X43,esk1_1(X43))
| ~ cUnsatisfiable(X43) )
& ( cp1(esk1_1(X43))
| ~ cUnsatisfiable(X43) )
& ( rr(X43,esk2_1(X43))
| ~ cUnsatisfiable(X43) )
& ( cp2(esk2_1(X43))
| ~ cUnsatisfiable(X43) )
& ( rr(X43,esk3_1(X43))
| ~ cUnsatisfiable(X43) )
& ( cp3(esk3_1(X43))
| ~ cUnsatisfiable(X43) )
& ( ~ rr(X43,X47)
| ~ rr(X43,X48)
| ~ rr(X43,X49)
| X47 = X48
| X47 = X49
| X48 = X49
| ~ cUnsatisfiable(X43) )
& ( rr(X50,esk4_1(X50))
| ~ rr(X50,X51)
| ~ cp1(X51)
| ~ rr(X50,X52)
| ~ cp2(X52)
| ~ rr(X50,X53)
| ~ cp3(X53)
| cUnsatisfiable(X50) )
& ( rr(X50,esk5_1(X50))
| ~ rr(X50,X51)
| ~ cp1(X51)
| ~ rr(X50,X52)
| ~ cp2(X52)
| ~ rr(X50,X53)
| ~ cp3(X53)
| cUnsatisfiable(X50) )
& ( rr(X50,esk6_1(X50))
| ~ rr(X50,X51)
| ~ cp1(X51)
| ~ rr(X50,X52)
| ~ cp2(X52)
| ~ rr(X50,X53)
| ~ cp3(X53)
| cUnsatisfiable(X50) )
& ( esk4_1(X50) != esk5_1(X50)
| ~ rr(X50,X51)
| ~ cp1(X51)
| ~ rr(X50,X52)
| ~ cp2(X52)
| ~ rr(X50,X53)
| ~ cp3(X53)
| cUnsatisfiable(X50) )
& ( esk4_1(X50) != esk6_1(X50)
| ~ rr(X50,X51)
| ~ cp1(X51)
| ~ rr(X50,X52)
| ~ cp2(X52)
| ~ rr(X50,X53)
| ~ cp3(X53)
| cUnsatisfiable(X50) )
& ( esk5_1(X50) != esk6_1(X50)
| ~ rr(X50,X51)
| ~ cp1(X51)
| ~ rr(X50,X52)
| ~ cp2(X52)
| ~ rr(X50,X53)
| ~ cp3(X53)
| cUnsatisfiable(X50) ) ),
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_5,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,plain,
cUnsatisfiable(i2003_11_14_17_18_39380),
inference(split_conjunct,[status(thm)],[axiom_8]) ).
cnf(c_0_7,plain,
( X2 = X3
| X2 = X4
| X3 = X4
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ rr(X1,X4)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
rr(i2003_11_14_17_18_39380,esk1_1(i2003_11_14_17_18_39380)),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
( rr(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_10,plain,
! [X58] :
( ( ~ cp4(X58)
| ~ cp2(X58) )
& ( ~ cp3(X58)
| ~ cp2(X58) )
& ( ~ cp5(X58)
| ~ cp2(X58) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
cnf(c_0_11,plain,
( X1 = esk1_1(i2003_11_14_17_18_39380)
| X2 = esk1_1(i2003_11_14_17_18_39380)
| X1 = X2
| ~ rr(i2003_11_14_17_18_39380,X2)
| ~ rr(i2003_11_14_17_18_39380,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_6])]) ).
cnf(c_0_12,plain,
rr(i2003_11_14_17_18_39380,esk3_1(i2003_11_14_17_18_39380)),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_13,plain,
( rr(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( ~ cp3(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( cp3(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( esk3_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380)
| X1 = esk3_1(i2003_11_14_17_18_39380)
| X1 = esk1_1(i2003_11_14_17_18_39380)
| ~ rr(i2003_11_14_17_18_39380,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
rr(i2003_11_14_17_18_39380,esk2_1(i2003_11_14_17_18_39380)),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
fof(c_0_18,plain,
! [X57] :
( ( ~ cp4(X57)
| ~ cp1(X57) )
& ( ~ cp2(X57)
| ~ cp1(X57) )
& ( ~ cp3(X57)
| ~ cp1(X57) )
& ( ~ cp5(X57)
| ~ cp1(X57) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_19,plain,
( ~ cp2(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( esk2_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380)
| esk3_1(i2003_11_14_17_18_39380) = esk2_1(i2003_11_14_17_18_39380)
| esk3_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( ~ cp3(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( esk3_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380)
| esk2_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380)
| ~ cp2(esk2_1(i2003_11_14_17_18_39380)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_6])]) ).
cnf(c_0_23,plain,
( cp2(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
( ~ cp1(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_25,plain,
( esk2_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380)
| esk3_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_6])]) ).
cnf(c_0_26,plain,
( ~ cp2(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( esk2_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380)
| ~ cp1(esk1_1(i2003_11_14_17_18_39380)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_6])]) ).
cnf(c_0_28,plain,
( cp1(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( ~ cp1(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_30,plain,
esk2_1(i2003_11_14_17_18_39380) = esk1_1(i2003_11_14_17_18_39380),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_6])]) ).
cnf(c_0_31,plain,
~ cp1(esk1_1(i2003_11_14_17_18_39380)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_6])]) ).
cnf(c_0_32,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS071+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon Aug 28 01:46:30 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.15/0.47 start to proof: theBenchmark
% 0.15/0.48 % Version : CSE_E---1.5
% 0.15/0.48 % Problem : theBenchmark.p
% 0.15/0.48 % Proof found
% 0.15/0.48 % SZS status Theorem for theBenchmark.p
% 0.15/0.48 % SZS output start Proof
% See solution above
% 0.15/0.49 % Total time : 0.008000 s
% 0.15/0.49 % SZS output end Proof
% 0.15/0.49 % Total time : 0.011000 s
%------------------------------------------------------------------------------