TSTP Solution File: KRS097+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS097+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 : n027.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 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 40 ( 4 unt; 23 typ; 0 def)
% Number of atoms : 73 ( 6 equ)
% Maximal formula atoms : 35 ( 4 avg)
% Number of connectives : 100 ( 44 ~; 39 |; 16 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 22 >; 8 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 1 sgn; 10 !; 5 ?; 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,
ce: $i > $o ).
tff(decl_27,type,
cowlNothing: $i > $o ).
tff(decl_28,type,
cowlThing: $i > $o ).
tff(decl_29,type,
rr: ( $i * $i ) > $o ).
tff(decl_30,type,
rr1: ( $i * $i ) > $o ).
tff(decl_31,type,
rr2: ( $i * $i ) > $o ).
tff(decl_32,type,
rr3: ( $i * $i ) > $o ).
tff(decl_33,type,
rt1: ( $i * $i ) > $o ).
tff(decl_34,type,
rt2: ( $i * $i ) > $o ).
tff(decl_35,type,
rt3: ( $i * $i ) > $o ).
tff(decl_36,type,
rtt: ( $i * $i ) > $o ).
tff(decl_37,type,
xsd_integer: $i > $o ).
tff(decl_38,type,
xsd_string: $i > $o ).
tff(decl_39,type,
i2003_11_14_17_20_21603: $i ).
tff(decl_40,type,
esk1_1: $i > $i ).
tff(decl_41,type,
esk2_1: $i > $i ).
tff(decl_42,type,
esk3_1: $i > $i ).
tff(decl_43,type,
esk4_1: $i > $i ).
tff(decl_44,type,
esk5_1: $i > $i ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] : rr(X4,X5)
& ? [X6] :
( rr(X4,X6)
& cd(X6) )
& ~ ? [X5,X7] :
( rr(X4,X5)
& rr(X4,X7)
& X5 != X7 )
& ? [X6] :
( rr(X4,X6)
& cc(X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_6,axiom,
! [X4] :
~ ( cd(X4)
& cc(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_21603),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(c_0_3,plain,
! [X76,X79,X80,X82,X83,X84,X87] :
( ( rr(X76,esk1_1(X76))
| ~ cUnsatisfiable(X76) )
& ( rr(X76,esk2_1(X76))
| ~ cUnsatisfiable(X76) )
& ( cd(esk2_1(X76))
| ~ cUnsatisfiable(X76) )
& ( ~ rr(X76,X79)
| ~ rr(X76,X80)
| X79 = X80
| ~ cUnsatisfiable(X76) )
& ( rr(X76,esk3_1(X76))
| ~ cUnsatisfiable(X76) )
& ( cc(esk3_1(X76))
| ~ cUnsatisfiable(X76) )
& ( rr(X82,esk4_1(X82))
| ~ rr(X82,X83)
| ~ rr(X82,X84)
| ~ cd(X84)
| ~ rr(X82,X87)
| ~ cc(X87)
| cUnsatisfiable(X82) )
& ( rr(X82,esk5_1(X82))
| ~ rr(X82,X83)
| ~ rr(X82,X84)
| ~ cd(X84)
| ~ rr(X82,X87)
| ~ cc(X87)
| cUnsatisfiable(X82) )
& ( esk4_1(X82) != esk5_1(X82)
| ~ rr(X82,X83)
| ~ rr(X82,X84)
| ~ cd(X84)
| ~ rr(X82,X87)
| ~ cc(X87)
| cUnsatisfiable(X82) ) ),
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_4,plain,
! [X90] :
( ~ cd(X90)
| ~ cc(X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
cnf(c_0_5,plain,
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( rr(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( ~ cd(X1)
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( cd(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,plain,
( X1 = esk3_1(X2)
| ~ rr(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
( rr(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,plain,
( ~ cc(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( esk2_1(X1) = esk3_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( cc(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,plain,
cUnsatisfiable(i2003_11_14_17_20_21603),
inference(split_conjunct,[status(thm)],[axiom_4]) ).
cnf(c_0_15,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[c_0_14,c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS097+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
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 02:53:51 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.009000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.012000 s
%------------------------------------------------------------------------------