TSTP Solution File: KRS088+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS088+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 : n001.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 05:40:11 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 37 ( 4 unt; 14 typ; 0 def)
% Number of atoms : 80 ( 5 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 100 ( 43 ~; 38 |; 13 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 13 >; 6 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 47 ( 1 sgn; 19 !; 4 ?; 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,
rf: ( $i * $i ) > $o ).
tff(decl_27,type,
rinvF: ( $i * $i ) > $o ).
tff(decl_28,type,
rinvR: ( $i * $i ) > $o ).
tff(decl_29,type,
rr: ( $i * $i ) > $o ).
tff(decl_30,type,
xsd_integer: $i > $o ).
tff(decl_31,type,
xsd_string: $i > $o ).
tff(decl_32,type,
i2003_11_14_17_19_49673: $i ).
tff(decl_33,type,
esk1_1: $i > $i ).
tff(decl_34,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk3_2: ( $i * $i ) > $i ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ? [X5] :
( rf(X4,X5)
& ! [X6] :
( rinvF(X5,X6)
=> ? [X7] :
( rf(X6,X7)
& ~ cp1(X7) ) )
& cp1(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4,X5,X6] :
( ( rf(X4,X5)
& rf(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4,X5] :
( rinvF(X4,X5)
<=> rf(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_49673),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(c_0_4,plain,
! [X4] :
( cUnsatisfiable(X4)
<=> ? [X5] :
( rf(X4,X5)
& ! [X6] :
( rinvF(X5,X6)
=> ? [X7] :
( rf(X6,X7)
& ~ cp1(X7) ) )
& cp1(X5) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_5,plain,
! [X54,X55,X56] :
( ~ rf(X54,X55)
| ~ rf(X54,X56)
| X55 = X56 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
fof(c_0_6,plain,
! [X46,X48,X50,X51,X53] :
( ( rf(X46,esk1_1(X46))
| ~ cUnsatisfiable(X46) )
& ( rf(X48,esk2_2(X46,X48))
| ~ rinvF(esk1_1(X46),X48)
| ~ cUnsatisfiable(X46) )
& ( ~ cp1(esk2_2(X46,X48))
| ~ rinvF(esk1_1(X46),X48)
| ~ cUnsatisfiable(X46) )
& ( cp1(esk1_1(X46))
| ~ cUnsatisfiable(X46) )
& ( rinvF(X51,esk3_2(X50,X51))
| ~ rf(X50,X51)
| ~ cp1(X51)
| cUnsatisfiable(X50) )
& ( ~ rf(esk3_2(X50,X51),X53)
| cp1(X53)
| ~ rf(X50,X51)
| ~ cp1(X51)
| 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)],[c_0_4])])])])])]) ).
fof(c_0_7,plain,
! [X57,X58] :
( ( ~ rinvF(X57,X58)
| rf(X58,X57) )
& ( ~ rf(X58,X57)
| rinvF(X57,X58) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
cnf(c_0_8,plain,
( X2 = X3
| ~ rf(X1,X2)
| ~ rf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( rf(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( rf(X1,esk2_2(X2,X1))
| ~ rinvF(esk1_1(X2),X1)
| ~ cUnsatisfiable(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( rinvF(X2,X1)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( X1 = esk1_1(X2)
| ~ rf(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( rf(X1,esk2_2(X2,X1))
| ~ rf(X1,esk1_1(X2))
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( ~ cp1(esk2_2(X1,X2))
| ~ rinvF(esk1_1(X1),X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( esk2_2(X1,X2) = esk1_1(X2)
| ~ rf(X2,esk1_1(X1))
| ~ cUnsatisfiable(X2)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( cp1(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,plain,
( rf(X2,X1)
| ~ rinvF(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( ~ rinvF(esk1_1(X1),X2)
| ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_19,plain,
( ~ rf(X1,esk1_1(X2))
| ~ cUnsatisfiable(X2)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_20,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
cnf(c_0_21,plain,
~ cUnsatisfiable(X1),
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[c_0_20,c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 02:56:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.009000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.012000 s
%------------------------------------------------------------------------------