TSTP Solution File: KRS098+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : KRS098+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 : Mon May 20 23:16:12 EDT 2024
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 11 unt; 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 predicates : 15 ( 13 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 ?)
% Comments :
%------------------------------------------------------------------------------
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,plain,
! [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)],[inference(fof_simplification,[status(thm)],[axiom_2]),c_0_8]) ).
fof(c_0_10,plain,
! [X93,X94] :
( ~ rr1(X93,X94)
| rr(X93,X94) ),
inference(fof_nnf,[status(thm)],[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(fof_nnf,[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(fof_nnf,[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(fof_nnf,[status(thm)],[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(fof_nnf,[status(thm)],[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(fof_nnf,[status(thm)],[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(fof_nnf,[status(thm)],[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(fof_nnf,[status(thm)],[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
% 0.11/0.12 % Problem : KRS098+1 : TPTP v8.2.0. Released v3.1.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 22:34:52 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 # Version: 3.1.0
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50 # Starting sh5l with 300s (1) cores
% 0.20/0.50 # sh5l with pid 1813 completed with status 8
% 0.20/0.50 # new_bool_3 with pid 1810 completed with status 8
% 0.20/0.50 # new_bool_1 with pid 1811 completed with status 8
% 0.20/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1809 completed with status 0
% 0.20/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # No SInE strategy applied
% 0.20/0.50 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.50 # Starting new_bool_3 with 136s (1) cores
% 0.20/0.50 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S05BI with 136s (1) cores
% 0.20/0.50 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 1833 completed with status 0
% 0.20/0.50 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # No SInE strategy applied
% 0.20/0.50 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 0.20/0.50 # Preprocessing time : 0.002 s
% 0.20/0.50 # Presaturation interreduction done
% 0.20/0.50
% 0.20/0.50 # Proof found!
% 0.20/0.50 # SZS status Unsatisfiable
% 0.20/0.50 # SZS output start CNFRefutation
% See solution above
% 0.20/0.50 # Parsed axioms : 39
% 0.20/0.50 # Removed by relevancy pruning/SinE : 0
% 0.20/0.50 # Initial clauses : 86
% 0.20/0.50 # Removed in clause preprocessing : 26
% 0.20/0.50 # Initial clauses in saturation : 60
% 0.20/0.50 # Processed clauses : 151
% 0.20/0.50 # ...of these trivial : 0
% 0.20/0.50 # ...subsumed : 4
% 0.20/0.50 # ...remaining for further processing : 147
% 0.20/0.50 # Other redundant clauses eliminated : 0
% 0.20/0.50 # Clauses deleted for lack of memory : 0
% 0.20/0.50 # Backward-subsumed : 0
% 0.20/0.50 # Backward-rewritten : 10
% 0.20/0.50 # Generated clauses : 82
% 0.20/0.50 # ...of the previous two non-redundant : 57
% 0.20/0.50 # ...aggressively subsumed : 0
% 0.20/0.50 # Contextual simplify-reflections : 0
% 0.20/0.50 # Paramodulations : 82
% 0.20/0.50 # Factorizations : 0
% 0.20/0.50 # NegExts : 0
% 0.20/0.50 # Equation resolutions : 0
% 0.20/0.50 # Disequality decompositions : 0
% 0.20/0.50 # Total rewrite steps : 54
% 0.20/0.50 # ...of those cached : 47
% 0.20/0.50 # Propositional unsat checks : 0
% 0.20/0.50 # Propositional check models : 0
% 0.20/0.50 # Propositional check unsatisfiable : 0
% 0.20/0.50 # Propositional clauses : 0
% 0.20/0.50 # Propositional clauses after purity: 0
% 0.20/0.50 # Propositional unsat core size : 0
% 0.20/0.50 # Propositional preprocessing time : 0.000
% 0.20/0.50 # Propositional encoding time : 0.000
% 0.20/0.50 # Propositional solver time : 0.000
% 0.20/0.50 # Success case prop preproc time : 0.000
% 0.20/0.50 # Success case prop encoding time : 0.000
% 0.20/0.50 # Success case prop solver time : 0.000
% 0.20/0.50 # Current number of processed clauses : 77
% 0.20/0.50 # Positive orientable unit clauses : 11
% 0.20/0.50 # Positive unorientable unit clauses: 0
% 0.20/0.50 # Negative unit clauses : 2
% 0.20/0.50 # Non-unit-clauses : 64
% 0.20/0.50 # Current number of unprocessed clauses: 23
% 0.20/0.50 # ...number of literals in the above : 91
% 0.20/0.50 # Current number of archived formulas : 0
% 0.20/0.50 # Current number of archived clauses : 71
% 0.20/0.50 # Clause-clause subsumption calls (NU) : 12679
% 0.20/0.50 # Rec. Clause-clause subsumption calls : 2457
% 0.20/0.50 # Non-unit clause-clause subsumptions : 4
% 0.20/0.50 # Unit Clause-clause subsumption calls : 26
% 0.20/0.50 # Rewrite failures with RHS unbound : 0
% 0.20/0.50 # BW rewrite match attempts : 3
% 0.20/0.50 # BW rewrite match successes : 3
% 0.20/0.50 # Condensation attempts : 0
% 0.20/0.50 # Condensation successes : 0
% 0.20/0.50 # Termbank termtop insertions : 8685
% 0.20/0.50 # Search garbage collected termcells : 1294
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.021 s
% 0.20/0.50 # System time : 0.002 s
% 0.20/0.50 # Total time : 0.024 s
% 0.20/0.50 # Maximum resident set size: 2024 pages
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.106 s
% 0.20/0.50 # System time : 0.027 s
% 0.20/0.50 # Total time : 0.134 s
% 0.20/0.50 # Maximum resident set size: 1756 pages
% 0.20/0.50 % E---3.1 exiting
% 0.20/0.50 % E exiting
%------------------------------------------------------------------------------