TSTP Solution File: KRS090+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS090+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 : n010.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 05:40:12 EDT 2023
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 86
% Syntax : Number of formulae : 110 ( 4 unt; 80 typ; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 112 ( 48 ~; 44 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 80 ( 79 >; 1 *; 0 +; 0 <<)
% Number of predicates : 79 ( 78 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 31 ( 1 sgn; 14 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cowlThing: $i > $o ).
tff(decl_23,type,
cowlNothing: $i > $o ).
tff(decl_24,type,
xsd_string: $i > $o ).
tff(decl_25,type,
xsd_integer: $i > $o ).
tff(decl_26,type,
cC1: $i > $o ).
tff(decl_27,type,
cB5: $i > $o ).
tff(decl_28,type,
cA5: $i > $o ).
tff(decl_29,type,
cB13: $i > $o ).
tff(decl_30,type,
cA13: $i > $o ).
tff(decl_31,type,
cA1: $i > $o ).
tff(decl_32,type,
cB1: $i > $o ).
tff(decl_33,type,
cA27: $i > $o ).
tff(decl_34,type,
cB27: $i > $o ).
tff(decl_35,type,
cA4: $i > $o ).
tff(decl_36,type,
cB4: $i > $o ).
tff(decl_37,type,
cB12: $i > $o ).
tff(decl_38,type,
cA12: $i > $o ).
tff(decl_39,type,
cB30: $i > $o ).
tff(decl_40,type,
cA30: $i > $o ).
tff(decl_41,type,
cA20: $i > $o ).
tff(decl_42,type,
cB20: $i > $o ).
tff(decl_43,type,
cB14: $i > $o ).
tff(decl_44,type,
cA14: $i > $o ).
tff(decl_45,type,
cB28: $i > $o ).
tff(decl_46,type,
cA28: $i > $o ).
tff(decl_47,type,
cA3: $i > $o ).
tff(decl_48,type,
cB3: $i > $o ).
tff(decl_49,type,
cB7: $i > $o ).
tff(decl_50,type,
cA7: $i > $o ).
tff(decl_51,type,
cB21: $i > $o ).
tff(decl_52,type,
cA21: $i > $o ).
tff(decl_53,type,
cB22: $i > $o ).
tff(decl_54,type,
cA22: $i > $o ).
tff(decl_55,type,
cB17: $i > $o ).
tff(decl_56,type,
cA17: $i > $o ).
tff(decl_57,type,
cB11: $i > $o ).
tff(decl_58,type,
cA11: $i > $o ).
tff(decl_59,type,
cB19: $i > $o ).
tff(decl_60,type,
cA19: $i > $o ).
tff(decl_61,type,
cA8: $i > $o ).
tff(decl_62,type,
cB8: $i > $o ).
tff(decl_63,type,
cA26: $i > $o ).
tff(decl_64,type,
cB26: $i > $o ).
tff(decl_65,type,
cA25: $i > $o ).
tff(decl_66,type,
cB25: $i > $o ).
tff(decl_67,type,
cA29: $i > $o ).
tff(decl_68,type,
cB29: $i > $o ).
tff(decl_69,type,
cB23: $i > $o ).
tff(decl_70,type,
cA23: $i > $o ).
tff(decl_71,type,
cB18: $i > $o ).
tff(decl_72,type,
cA18: $i > $o ).
tff(decl_73,type,
cB10: $i > $o ).
tff(decl_74,type,
cA10: $i > $o ).
tff(decl_75,type,
cB2: $i > $o ).
tff(decl_76,type,
cA2: $i > $o ).
tff(decl_77,type,
cA16: $i > $o ).
tff(decl_78,type,
cB16: $i > $o ).
tff(decl_79,type,
cB0: $i > $o ).
tff(decl_80,type,
cA0: $i > $o ).
tff(decl_81,type,
cB31: $i > $o ).
tff(decl_82,type,
cA31: $i > $o ).
tff(decl_83,type,
cB9: $i > $o ).
tff(decl_84,type,
cA9: $i > $o ).
tff(decl_85,type,
cB6: $i > $o ).
tff(decl_86,type,
cA6: $i > $o ).
tff(decl_87,type,
cB24: $i > $o ).
tff(decl_88,type,
cA24: $i > $o ).
tff(decl_89,type,
cB15: $i > $o ).
tff(decl_90,type,
cA15: $i > $o ).
tff(decl_91,type,
cC2: $i > $o ).
tff(decl_92,type,
cB: $i > $o ).
tff(decl_93,type,
cA: $i > $o ).
tff(decl_94,type,
cC3: $i > $o ).
tff(decl_95,type,
cC4: $i > $o ).
tff(decl_96,type,
rR: ( $i * $i ) > $o ).
tff(decl_97,type,
cC5: $i > $o ).
tff(decl_98,type,
cTEST: $i > $o ).
tff(decl_99,type,
i2003_11_14_17_19_57994: $i ).
tff(decl_100,type,
epred1_1: $i > $o ).
tff(decl_101,type,
esk1_1: $i > $i ).
fof(axiom_4,axiom,
! [X1] :
( cC3(X1)
=> ( ( ~ cB(X1)
| ~ cA(X1) )
& ( cB(X1)
| ~ cA(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_6,axiom,
! [X1] :
( cC5(X1)
=> ! [X2] :
( rR(X1,X2)
=> cC3(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_5,axiom,
! [X1] :
( cC4(X1)
=> ? [X2] :
( rR(X1,X2)
& cC2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X1] :
( cC2(X1)
=> ( ( ~ cB(X1)
| cA(X1) )
& ( cB(X1)
| cA(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_7,axiom,
! [X1] :
( cTEST(X1)
=> ( cC4(X1)
& cC1(X1)
& cC5(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(c_0_6,plain,
! [X1] :
( cC3(X1)
=> ( ( ~ cB(X1)
| ~ cA(X1) )
& ( cB(X1)
| ~ cA(X1) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_4]) ).
fof(c_0_7,plain,
! [X7] :
( ( ~ cB(X7)
| ~ cA(X7)
| ~ cC3(X7) )
& ( cB(X7)
| ~ cA(X7)
| ~ cC3(X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,plain,
! [X10,X11] :
( ~ cC5(X10)
| ~ rR(X10,X11)
| cC3(X11) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
fof(c_0_9,plain,
! [X8] :
( ( rR(X8,esk1_1(X8))
| ~ cC4(X8) )
& ( cC2(esk1_1(X8))
| ~ cC4(X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])]) ).
fof(c_0_10,plain,
! [X1] :
( cC2(X1)
=> ( ( ~ cB(X1)
| cA(X1) )
& ( cB(X1)
| cA(X1) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_11,plain,
( cB(X1)
| ~ cA(X1)
| ~ cC3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ cB(X1)
| ~ cA(X1)
| ~ cC3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( cC3(X2)
| ~ cC5(X1)
| ~ rR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( rR(X1,esk1_1(X1))
| ~ cC4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X6] :
( ( ~ cB(X6)
| cA(X6)
| ~ cC2(X6) )
& ( cB(X6)
| cA(X6)
| ~ cC2(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_16,plain,
( ~ cC3(X1)
| ~ cA(X1) ),
inference(csr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( cC3(esk1_1(X1))
| ~ cC5(X1)
| ~ cC4(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( cB(X1)
| cA(X1)
| ~ cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( cA(X1)
| ~ cB(X1)
| ~ cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ cC5(X1)
| ~ cC4(X1)
| ~ cA(esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( cA(X1)
| ~ cC2(X1) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( cC2(esk1_1(X1))
| ~ cC4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_23,plain,
! [X12] :
( ( cC4(X12)
| ~ cTEST(X12) )
& ( cC1(X12)
| ~ cTEST(X12) )
& ( cC5(X12)
| ~ cTEST(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
cnf(c_0_24,plain,
( ~ cC5(X1)
| ~ cC4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,plain,
( cC5(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,plain,
( cC4(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
cTEST(i2003_11_14_17_19_57994),
inference(split_conjunct,[status(thm)],[axiom_8]) ).
cnf(c_0_28,plain,
~ cTEST(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,plain,
$false,
inference(sr,[status(thm)],[c_0_27,c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS090+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
% 0.13/0.34 % Computer : n010.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 01:06:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.010000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.013000 s
%------------------------------------------------------------------------------