TSTP Solution File: KRS098+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS098+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 : n019.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 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 42
% Syntax : Number of formulae : 86 ( 11 unt; 33 typ; 0 def)
% Number of atoms : 459 ( 50 equ)
% Maximal formula atoms : 294 ( 8 avg)
% Number of connectives : 674 ( 268 ~; 315 |; 77 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 32 >; 14 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn; 55 !; 16 ?; 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_25524: $i ).
tff(decl_40,type,
epred1_1: $i > $o ).
tff(decl_41,type,
esk1_1: $i > $i ).
tff(decl_42,type,
esk2_1: $i > $i ).
tff(decl_43,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk5_1: $i > $i ).
tff(decl_46,type,
esk6_1: $i > $i ).
tff(decl_47,type,
esk7_1: $i > $i ).
tff(decl_48,type,
esk8_1: $i > $i ).
tff(decl_49,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk13_1: $i > $i ).
tff(decl_54,type,
esk14_1: $i > $i ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr3(X4,X5)
& ? [X6] :
( rt3(X5,X6)
& ce(X6) )
& ! [X7,X8] :
( ( rtt(X5,X7)
& rtt(X5,X8) )
=> X7 = X8 ) )
& ? [X5] :
( rr2(X4,X5)
& ! [X7,X8] :
( ( rtt(X5,X7)
& rtt(X5,X8) )
=> X7 = X8 )
& ? [X6] :
( rt2(X5,X6)
& cd(X6) ) )
& ~ ? [X9,X10] :
( rr(X4,X9)
& rr(X4,X10)
& X9 != X10 )
& ? [X5] :
( rr1(X4,X5)
& ! [X7,X8] :
( ( rtt(X5,X7)
& rtt(X5,X8) )
=> X7 = X8 )
& ? [X6] :
( rt1(X5,X6)
& cc(X6) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_8,axiom,
! [X4,X5] :
( rr1(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rr2(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_12,axiom,
! [X4,X5] :
( rr3(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_10,axiom,
! [X4,X5] :
( rt1(X4,X5)
=> rtt(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X4,X5] :
( rt2(X4,X5)
=> rtt(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_5,axiom,
! [X4] :
~ ( cc(X4)
& cd(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(c_0_8,plain,
! [X4] :
( epred1_1(X4)
<=> ( ? [X5] :
( rr3(X4,X5)
& ? [X6] :
( rt3(X5,X6)
& ce(X6) )
& ! [X7,X8] :
( ( rtt(X5,X7)
& rtt(X5,X8) )
=> X7 = X8 ) )
& ? [X5] :
( rr2(X4,X5)
& ! [X7,X8] :
( ( rtt(X5,X7)
& rtt(X5,X8) )
=> X7 = X8 )
& ? [X6] :
( rt2(X5,X6)
& cd(X6) ) )
& ~ ? [X9,X10] :
( rr(X4,X9)
& rr(X4,X10)
& X9 != X10 ) ) ),
introduced(definition) ).
fof(c_0_9,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( epred1_1(X4)
& ? [X5] :
( rr1(X4,X5)
& ! [X7,X8] :
( ( rtt(X5,X7)
& rtt(X5,X8) )
=> X7 = X8 )
& ? [X6] :
( rt1(X5,X6)
& cc(X6) ) ) ) ),
inference(apply_def,[status(thm)],[axiom_2,c_0_8]) ).
fof(c_0_10,plain,
! [X93,X94] :
( ~ rr1(X93,X94)
| rr(X93,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_11,plain,
! [X79,X81,X82,X84,X85,X88] :
( ( epred1_1(X79)
| ~ cUnsatisfiable(X79) )
& ( rr1(X79,esk1_1(X79))
| ~ cUnsatisfiable(X79) )
& ( ~ rtt(esk1_1(X79),X81)
| ~ rtt(esk1_1(X79),X82)
| X81 = X82
| ~ cUnsatisfiable(X79) )
& ( rt1(esk1_1(X79),esk2_1(X79))
| ~ cUnsatisfiable(X79) )
& ( cc(esk2_1(X79))
| ~ cUnsatisfiable(X79) )
& ( rtt(X85,esk3_2(X84,X85))
| ~ rr1(X84,X85)
| ~ rt1(X85,X88)
| ~ cc(X88)
| ~ epred1_1(X84)
| cUnsatisfiable(X84) )
& ( rtt(X85,esk4_2(X84,X85))
| ~ rr1(X84,X85)
| ~ rt1(X85,X88)
| ~ cc(X88)
| ~ epred1_1(X84)
| cUnsatisfiable(X84) )
& ( esk3_2(X84,X85) != esk4_2(X84,X85)
| ~ rr1(X84,X85)
| ~ rt1(X85,X88)
| ~ cc(X88)
| ~ epred1_1(X84)
| cUnsatisfiable(X84) ) ),
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_9])])])])])]) ).
cnf(c_0_12,plain,
( rr(X1,X2)
| ~ rr1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( rr1(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X105,X108,X109,X111,X112,X114,X115,X116,X117,X118,X121,X124] :
( ( rr3(X105,esk5_1(X105))
| ~ epred1_1(X105) )
& ( rt3(esk5_1(X105),esk6_1(X105))
| ~ epred1_1(X105) )
& ( ce(esk6_1(X105))
| ~ epred1_1(X105) )
& ( ~ rtt(esk5_1(X105),X108)
| ~ rtt(esk5_1(X105),X109)
| X108 = X109
| ~ epred1_1(X105) )
& ( rr2(X105,esk7_1(X105))
| ~ epred1_1(X105) )
& ( ~ rtt(esk7_1(X105),X111)
| ~ rtt(esk7_1(X105),X112)
| X111 = X112
| ~ epred1_1(X105) )
& ( rt2(esk7_1(X105),esk8_1(X105))
| ~ epred1_1(X105) )
& ( cd(esk8_1(X105))
| ~ epred1_1(X105) )
& ( ~ rr(X105,X114)
| ~ rr(X105,X115)
| X114 = X115
| ~ epred1_1(X105) )
& ( rr(X116,esk13_1(X116))
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk13_1(X116))
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk13_1(X116))
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk9_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk13_1(X116))
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk13_1(X116))
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk13_1(X116))
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| rtt(X117,esk10_2(X116,X117))
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk13_1(X116))
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| rtt(X121,esk11_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk13_1(X116))
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| rtt(X121,esk12_2(X116,X121))
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk13_1(X116))
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( rr(X116,esk14_1(X116))
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) )
& ( esk13_1(X116) != esk14_1(X116)
| esk11_2(X116,X121) != esk12_2(X116,X121)
| ~ rr2(X116,X121)
| ~ rt2(X121,X124)
| ~ cd(X124)
| esk9_2(X116,X117) != esk10_2(X116,X117)
| ~ rr3(X116,X117)
| ~ rt3(X117,X118)
| ~ ce(X118)
| epred1_1(X116) ) ),
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_8])])])])])]) ).
cnf(c_0_15,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(split_conjunct,[status(thm)],[axiom_4]) ).
cnf(c_0_17,plain,
( epred1_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
rr(i2003_11_14_17_20_25524,esk1_1(i2003_11_14_17_20_25524)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
epred1_1(i2003_11_14_17_20_25524),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
fof(c_0_21,plain,
! [X95,X96] :
( ~ rr2(X95,X96)
| rr(X95,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
cnf(c_0_22,plain,
( X1 = esk1_1(i2003_11_14_17_20_25524)
| ~ rr(i2003_11_14_17_20_25524,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_23,plain,
( rr(X1,X2)
| ~ rr2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( X1 = esk1_1(i2003_11_14_17_20_25524)
| ~ rr2(i2003_11_14_17_20_25524,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
( rr2(X1,esk7_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,plain,
esk1_1(i2003_11_14_17_20_25524) = esk7_1(i2003_11_14_17_20_25524),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20])]) ).
fof(c_0_27,plain,
! [X101,X102] :
( ~ rr3(X101,X102)
| rr(X101,X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])]) ).
fof(c_0_28,plain,
! [X97,X98] :
( ~ rt1(X97,X98)
| rtt(X97,X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
cnf(c_0_29,plain,
( X1 = esk7_1(i2003_11_14_17_20_25524)
| ~ rr(i2003_11_14_17_20_25524,X1) ),
inference(rw,[status(thm)],[c_0_22,c_0_26]) ).
cnf(c_0_30,plain,
( rr(X1,X2)
| ~ rr3(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( rtt(X1,X2)
| ~ rt1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( rt1(esk1_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,plain,
( X1 = esk7_1(i2003_11_14_17_20_25524)
| ~ rr3(i2003_11_14_17_20_25524,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
( rr3(X1,esk5_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_35,plain,
! [X99,X100] :
( ~ rt2(X99,X100)
| rtt(X99,X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
cnf(c_0_36,plain,
( rtt(esk1_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
esk7_1(i2003_11_14_17_20_25524) = esk5_1(i2003_11_14_17_20_25524),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_20])]) ).
cnf(c_0_38,plain,
( rtt(X1,X2)
| ~ rt2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( rt2(esk7_1(X1),esk8_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_40,plain,
! [X90] :
( ~ cc(X90)
| ~ cd(X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
cnf(c_0_41,plain,
( X2 = X3
| ~ rtt(esk5_1(X1),X2)
| ~ rtt(esk5_1(X1),X3)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_42,plain,
rtt(esk5_1(i2003_11_14_17_20_25524),esk2_1(i2003_11_14_17_20_25524)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_16]),c_0_26]),c_0_37]) ).
cnf(c_0_43,plain,
( rtt(esk7_1(X1),esk8_1(X1))
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( ~ cc(X1)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,plain,
( cc(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,plain,
( X1 = esk2_1(i2003_11_14_17_20_25524)
| ~ rtt(esk5_1(i2003_11_14_17_20_25524),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_20])]) ).
cnf(c_0_47,plain,
rtt(esk5_1(i2003_11_14_17_20_25524),esk8_1(i2003_11_14_17_20_25524)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_20]),c_0_37]) ).
cnf(c_0_48,plain,
( ~ cd(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
esk2_1(i2003_11_14_17_20_25524) = esk8_1(i2003_11_14_17_20_25524),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,plain,
~ cd(esk8_1(i2003_11_14_17_20_25524)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_16])]) ).
cnf(c_0_51,plain,
( cd(esk8_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_52,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS098+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 : n019.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 02:27:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 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 : 0.029000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.033000 s
%------------------------------------------------------------------------------