TSTP Solution File: KRS072+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS072+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 : n025.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 05:40:08 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 39 ( 4 unt; 17 typ; 0 def)
% Number of atoms : 88 ( 6 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 116 ( 50 ~; 46 |; 16 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 16 >; 4 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 34 ( 1 sgn; 15 !; 2 ?; 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_50190: $i ).
tff(decl_35,type,
esk1_1: $i > $i ).
tff(decl_36,type,
esk2_1: $i > $i ).
tff(decl_37,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk4_2: ( $i * $i ) > $i ).
fof(axiom_7,axiom,
! [X4,X5] :
( rinvR(X4,X5)
<=> rr(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rinvR(X4,X5)
& ! [X6,X7] :
( ( rr(X5,X6)
& rr(X5,X7) )
=> X6 = X7 )
& ? [X8] :
( rr(X5,X8)
& cp1(X8) ) )
& cp2(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> ~ ( cp3(X4)
| cp2(X4)
| cp4(X4)
| cp5(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_18_50190),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(c_0_4,plain,
! [X57,X58] :
( ( ~ rinvR(X57,X58)
| rr(X58,X57) )
& ( ~ rr(X58,X57)
| rinvR(X57,X58) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
fof(c_0_5,plain,
! [X43,X45,X46,X48,X49,X52] :
( ( rinvR(X43,esk1_1(X43))
| ~ cUnsatisfiable(X43) )
& ( ~ rr(esk1_1(X43),X45)
| ~ rr(esk1_1(X43),X46)
| X45 = X46
| ~ cUnsatisfiable(X43) )
& ( rr(esk1_1(X43),esk2_1(X43))
| ~ cUnsatisfiable(X43) )
& ( cp1(esk2_1(X43))
| ~ cUnsatisfiable(X43) )
& ( cp2(X43)
| ~ cUnsatisfiable(X43) )
& ( rr(X49,esk3_2(X48,X49))
| ~ rinvR(X48,X49)
| ~ rr(X49,X52)
| ~ cp1(X52)
| ~ cp2(X48)
| cUnsatisfiable(X48) )
& ( rr(X49,esk4_2(X48,X49))
| ~ rinvR(X48,X49)
| ~ rr(X49,X52)
| ~ cp1(X52)
| ~ cp2(X48)
| cUnsatisfiable(X48) )
& ( esk3_2(X48,X49) != esk4_2(X48,X49)
| ~ rinvR(X48,X49)
| ~ rr(X49,X52)
| ~ cp1(X52)
| ~ cp2(X48)
| cUnsatisfiable(X48) ) ),
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])])])])])]) ).
fof(c_0_6,plain,
! [X53] :
( ( ~ cp3(X53)
| ~ cp1(X53) )
& ( ~ cp2(X53)
| ~ cp1(X53) )
& ( ~ cp4(X53)
| ~ cp1(X53) )
& ( ~ cp5(X53)
| ~ cp1(X53) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_7,plain,
( rr(X2,X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( rinvR(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ cp2(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( cp1(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( X2 = X3
| ~ rr(esk1_1(X1),X2)
| ~ rr(esk1_1(X1),X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( rr(esk1_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( ~ cp2(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( cp2(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( X1 = X2
| ~ rr(esk1_1(X2),X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( rr(esk1_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( ~ cUnsatisfiable(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( esk2_1(X1) = X1
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
cUnsatisfiable(i2003_11_14_17_18_50190),
inference(split_conjunct,[status(thm)],[axiom_8]) ).
cnf(c_0_20,plain,
~ cUnsatisfiable(X1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS072+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 02:40:09 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.007000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.010000 s
%------------------------------------------------------------------------------