%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS098+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 : Tue May 5 04:36:20 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.73s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 460 ( 50 equ)
% Maximal formula atoms : 294 ( 8 avg)
% Number of connectives : 676 ( 269 ~; 316 |; 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 : 106 ( 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/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_8,axiom,
! [X4,X5] :
( rr1(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rr2(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_11,axiom,
! [X4,X5] :
( rt2(X4,X5)
=> rtt(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X4,X5] :
( rr3(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X4,X5] :
( rt3(X4,X5)
=> rtt(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_7,axiom,
! [X4] :
~ ( ce(X4)
& cd(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
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,
! [X192,X193] :
( ~ rr1(X192,X193)
| rr(X192,X193) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_11,plain,
! [X178,X180,X181,X183,X184,X187] :
( ( epred1_1(X178)
| ~ cUnsatisfiable(X178) )
& ( rr1(X178,esk1_1(X178))
| ~ cUnsatisfiable(X178) )
& ( ~ rtt(esk1_1(X178),X180)
| ~ rtt(esk1_1(X178),X181)
| X180 = X181
| ~ cUnsatisfiable(X178) )
& ( rt1(esk1_1(X178),esk2_1(X178))
| ~ cUnsatisfiable(X178) )
& ( cc(esk2_1(X178))
| ~ cUnsatisfiable(X178) )
& ( rtt(X184,esk3_2(X183,X184))
| ~ rr1(X183,X184)
| ~ rt1(X184,X187)
| ~ cc(X187)
| ~ epred1_1(X183)
| cUnsatisfiable(X183) )
& ( rtt(X184,esk4_2(X183,X184))
| ~ rr1(X183,X184)
| ~ rt1(X184,X187)
| ~ cc(X187)
| ~ epred1_1(X183)
| cUnsatisfiable(X183) )
& ( esk3_2(X183,X184) != esk4_2(X183,X184)
| ~ rr1(X183,X184)
| ~ rt1(X184,X187)
| ~ cc(X187)
| ~ epred1_1(X183)
| cUnsatisfiable(X183) ) ),
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,
! [X204,X207,X208,X210,X211,X213,X214,X215,X216,X217,X220,X223] :
( ( rr3(X204,esk5_1(X204))
| ~ epred1_1(X204) )
& ( rt3(esk5_1(X204),esk6_1(X204))
| ~ epred1_1(X204) )
& ( ce(esk6_1(X204))
| ~ epred1_1(X204) )
& ( ~ rtt(esk5_1(X204),X207)
| ~ rtt(esk5_1(X204),X208)
| X207 = X208
| ~ epred1_1(X204) )
& ( rr2(X204,esk7_1(X204))
| ~ epred1_1(X204) )
& ( ~ rtt(esk7_1(X204),X210)
| ~ rtt(esk7_1(X204),X211)
| X210 = X211
| ~ epred1_1(X204) )
& ( rt2(esk7_1(X204),esk8_1(X204))
| ~ epred1_1(X204) )
& ( cd(esk8_1(X204))
| ~ epred1_1(X204) )
& ( ~ rr(X204,X213)
| ~ rr(X204,X214)
| X213 = X214
| ~ epred1_1(X204) )
& ( rr(X215,esk13_1(X215))
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk13_1(X215))
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk13_1(X215))
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk9_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk13_1(X215))
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk13_1(X215))
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk13_1(X215))
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| rtt(X216,esk10_2(X215,X216))
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk13_1(X215))
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| rtt(X220,esk11_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk13_1(X215))
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| rtt(X220,esk12_2(X215,X220))
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk13_1(X215))
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( rr(X215,esk14_1(X215))
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) )
& ( esk13_1(X215) != esk14_1(X215)
| esk11_2(X215,X220) != esk12_2(X215,X220)
| ~ rr2(X215,X220)
| ~ rt2(X220,X223)
| ~ cd(X223)
| esk9_2(X215,X216) != esk10_2(X215,X216)
| ~ rr3(X215,X216)
| ~ rt3(X216,X217)
| ~ ce(X217)
| epred1_1(X215) ) ),
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,
! [X194,X195] :
( ~ rr2(X194,X195)
| rr(X194,X195) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
fof(c_0_22,plain,
! [X198,X199] :
( ~ rt2(X198,X199)
| rtt(X198,X199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
cnf(c_0_23,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_24,plain,
( rr(X1,X2)
| ~ rr2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X200,X201] :
( ~ rr3(X200,X201)
| rr(X200,X201) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])]) ).
cnf(c_0_26,plain,
( rtt(X1,X2)
| ~ rt2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( rt2(esk7_1(X1),esk8_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,plain,
( X1 = esk1_1(i2003_11_14_17_20_25524)
| ~ rr2(i2003_11_14_17_20_25524,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( rr2(X1,esk7_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_30,plain,
! [X202,X203] :
( ~ rt3(X202,X203)
| rtt(X202,X203) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])]) ).
cnf(c_0_31,plain,
( rr(X1,X2)
| ~ rr3(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( X2 = X3
| ~ rtt(esk1_1(X1),X2)
| ~ rtt(esk1_1(X1),X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,plain,
( rtt(esk7_1(X1),esk8_1(X1))
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
esk7_1(i2003_11_14_17_20_25524) = esk1_1(i2003_11_14_17_20_25524),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_20])]) ).
cnf(c_0_35,plain,
( rtt(X1,X2)
| ~ rt3(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( rt3(esk5_1(X1),esk6_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,plain,
( X1 = esk1_1(i2003_11_14_17_20_25524)
| ~ rr3(i2003_11_14_17_20_25524,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_31]) ).
cnf(c_0_38,plain,
( rr3(X1,esk5_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_39,plain,
! [X191] :
( ~ ce(X191)
| ~ cd(X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
cnf(c_0_40,plain,
( X1 = X2
| ~ rtt(esk1_1(i2003_11_14_17_20_25524),X2)
| ~ rtt(esk1_1(i2003_11_14_17_20_25524),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_41,plain,
rtt(esk1_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_33,c_0_20]),c_0_34]) ).
cnf(c_0_42,plain,
( rtt(esk5_1(X1),esk6_1(X1))
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
esk5_1(i2003_11_14_17_20_25524) = esk1_1(i2003_11_14_17_20_25524),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_20])]) ).
cnf(c_0_44,plain,
( ~ ce(X1)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
( ce(esk6_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,plain,
( X1 = esk8_1(i2003_11_14_17_20_25524)
| ~ rtt(esk1_1(i2003_11_14_17_20_25524),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
rtt(esk1_1(i2003_11_14_17_20_25524),esk6_1(i2003_11_14_17_20_25524)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_20]),c_0_43]) ).
cnf(c_0_48,plain,
( ~ epred1_1(X1)
| ~ cd(esk6_1(X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
esk6_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_20])]) ).
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
% 0.00/0.12 % Problem : KRS098+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n013.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:36:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.29/1.73 % Version : CSE_E---1.7
% 1.29/1.73 % Problem : theBenchmark.p
% 1.29/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.73 % SZS output start CNFRefutation
% See solution above
% 1.29/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------