%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS081+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 : n015.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 04:36:18 PM UTC 2026
% Result : Unsatisfiable 1.59s 1.81s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 6
% Syntax : Number of formulae : 111 ( 7 unt; 0 def)
% Number of atoms : 1023 ( 435 equ)
% Maximal formula atoms : 420 ( 9 avg)
% Number of connectives : 1409 ( 497 ~; 836 |; 69 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 78 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 104 ( 0 sgn 31 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& cp3(X5) )
& ? [X5] :
( rr(X4,X5)
& cp4(X5)
& cp(X5) )
& ? [X5] :
( rr(X4,X5)
& cp4(X5) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5)
& cp(X5) )
& ? [X5] :
( rr(X4,X5)
& cp5(X5) )
& ? [X5] :
( rr(X4,X5)
& cp(X5)
& cp3(X5) )
& ? [X5] :
( rr(X4,X5)
& cp1(X5) )
& ! [X6,X7,X8,X9,X10] :
( ( rr(X4,X6)
& rr(X4,X7)
& rr(X4,X8)
& rr(X4,X9)
& rr(X4,X10) )
=> ( X6 = X7
| X6 = X8
| X6 = X9
| X6 = X10
| X7 = X8
| X7 = X9
| X7 = X10
| X8 = X9
| X8 = X10
| X9 = X10 ) )
& ? [X5] :
( rr(X4,X5)
& cp1(X5)
& cp(X5) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_6,axiom,
! [X4] :
( cp4(X4)
=> ~ cp5(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
! [X4] :
( cp2(X4)
=> ~ ( cp4(X4)
| cp5(X4)
| cp3(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_24236),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> ~ ( cp2(X4)
| cp4(X4)
| cp5(X4)
| cp3(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_5,axiom,
! [X4] :
( cp3(X4)
=> ~ ( cp4(X4)
| cp5(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(c_0_6,plain,
! [X90,X98,X99,X100,X101,X102,X105,X106,X107,X108,X109,X110,X111,X112,X118,X119] :
( ( rr(X90,esk1_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp3(esk1_1(X90))
| ~ cUnsatisfiable(X90) )
& ( rr(X90,esk2_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp4(esk2_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp(esk2_1(X90))
| ~ cUnsatisfiable(X90) )
& ( rr(X90,esk3_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp4(esk3_1(X90))
| ~ cUnsatisfiable(X90) )
& ( rr(X90,esk4_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp2(esk4_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp(esk4_1(X90))
| ~ cUnsatisfiable(X90) )
& ( rr(X90,esk5_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp5(esk5_1(X90))
| ~ cUnsatisfiable(X90) )
& ( rr(X90,esk6_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp(esk6_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp3(esk6_1(X90))
| ~ cUnsatisfiable(X90) )
& ( rr(X90,esk7_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp1(esk7_1(X90))
| ~ cUnsatisfiable(X90) )
& ( ~ rr(X90,X98)
| ~ rr(X90,X99)
| ~ rr(X90,X100)
| ~ rr(X90,X101)
| ~ rr(X90,X102)
| X98 = X99
| X98 = X100
| X98 = X101
| X98 = X102
| X99 = X100
| X99 = X101
| X99 = X102
| X100 = X101
| X100 = X102
| X101 = X102
| ~ cUnsatisfiable(X90) )
& ( rr(X90,esk8_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp1(esk8_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp(esk8_1(X90))
| ~ cUnsatisfiable(X90) )
& ( rr(X90,esk9_1(X90))
| ~ cUnsatisfiable(X90) )
& ( cp2(esk9_1(X90))
| ~ cUnsatisfiable(X90) )
& ( rr(X105,esk10_1(X105))
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( rr(X105,esk11_1(X105))
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( rr(X105,esk12_1(X105))
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( rr(X105,esk13_1(X105))
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( rr(X105,esk14_1(X105))
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk10_1(X105) != esk11_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk10_1(X105) != esk12_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk10_1(X105) != esk13_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk10_1(X105) != esk14_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk11_1(X105) != esk12_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk11_1(X105) != esk13_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk11_1(X105) != esk14_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk12_1(X105) != esk13_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk12_1(X105) != esk14_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) )
& ( esk13_1(X105) != esk14_1(X105)
| ~ rr(X105,X106)
| ~ cp3(X106)
| ~ rr(X105,X107)
| ~ cp4(X107)
| ~ cp(X107)
| ~ rr(X105,X108)
| ~ cp4(X108)
| ~ rr(X105,X109)
| ~ cp2(X109)
| ~ cp(X109)
| ~ rr(X105,X110)
| ~ cp5(X110)
| ~ rr(X105,X111)
| ~ cp(X111)
| ~ cp3(X111)
| ~ rr(X105,X112)
| ~ cp1(X112)
| ~ rr(X105,X118)
| ~ cp1(X118)
| ~ cp(X118)
| ~ rr(X105,X119)
| ~ cp2(X119)
| cUnsatisfiable(X105) ) ),
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])])])])])]) ).
cnf(c_0_7,plain,
( X2 = X3
| X2 = X4
| X2 = X5
| X2 = X6
| X3 = X4
| X3 = X5
| X3 = X6
| X4 = X5
| X4 = X6
| X5 = X6
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ rr(X1,X4)
| ~ rr(X1,X5)
| ~ rr(X1,X6)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_8,plain,
( rr(X1,esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 = esk9_1(X2)
| X3 = esk9_1(X2)
| X4 = esk9_1(X2)
| X5 = esk9_1(X2)
| X1 = X3
| X1 = X4
| X1 = X5
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rr(X2,X5)
| ~ rr(X2,X4)
| ~ rr(X2,X3)
| ~ rr(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( rr(X1,esk8_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( esk9_1(X1) = esk8_1(X1)
| X2 = esk8_1(X1)
| X3 = esk8_1(X1)
| X4 = esk8_1(X1)
| X2 = esk9_1(X1)
| X3 = esk9_1(X1)
| X4 = esk9_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ rr(X1,X4)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( rr(X1,esk7_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_13,plain,
! [X4] :
( cp4(X4)
=> ~ cp5(X4) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
cnf(c_0_14,plain,
( esk9_1(X1) = esk7_1(X1)
| esk7_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk8_1(X1)
| X2 = esk7_1(X1)
| X3 = esk7_1(X1)
| X2 = esk9_1(X1)
| X3 = esk9_1(X1)
| X2 = esk8_1(X1)
| X3 = esk8_1(X1)
| X2 = X3
| ~ rr(X1,X3)
| ~ rr(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( rr(X1,esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
( rr(X1,esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_17,plain,
! [X123] :
( ~ cp4(X123)
| ~ cp5(X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_18,plain,
( esk5_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk7_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk7_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk7_1(X1)
| X2 = esk5_1(X1)
| X2 = esk8_1(X1)
| X2 = esk9_1(X1)
| X2 = esk7_1(X1)
| ~ rr(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( rr(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_20,plain,
! [X121] :
( ( ~ cp4(X121)
| ~ cp2(X121) )
& ( ~ cp5(X121)
| ~ cp2(X121) )
& ( ~ cp3(X121)
| ~ cp2(X121) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
cnf(c_0_21,plain,
( esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk7_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk7_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk7_1(X1)
| X2 = esk6_1(X1)
| X2 = esk8_1(X1)
| X2 = esk9_1(X1)
| X2 = esk7_1(X1)
| ~ rr(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_22,plain,
( ~ cp4(X1)
| ~ cp5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( cp5(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,plain,
( esk3_1(X1) = esk7_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk3_1(X1)
| esk9_1(X1) = esk7_1(X1)
| esk7_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk7_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk8_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
cUnsatisfiable(i2003_11_14_17_19_24236),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
cnf(c_0_26,plain,
( ~ cp5(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( esk5_1(X1) = esk7_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk7_1(X1)
| esk7_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk7_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_28,plain,
( ~ cp4(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk3_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_30,plain,
! [X120] :
( ( ~ cp2(X120)
| ~ cp1(X120) )
& ( ~ cp4(X120)
| ~ cp1(X120) )
& ( ~ cp5(X120)
| ~ cp1(X120) )
& ( ~ cp3(X120)
| ~ cp1(X120) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_31,plain,
( ~ cp2(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_32,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_33,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp4(esk3_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25])]) ).
cnf(c_0_34,plain,
( cp4(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_35,plain,
( ~ cp5(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp2(esk9_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25])]) ).
cnf(c_0_37,plain,
( cp2(esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_38,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25])]) ).
cnf(c_0_39,plain,
( ~ cp1(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_40,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_25])]) ).
cnf(c_0_41,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp2(esk9_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_38]),c_0_25])]) ).
cnf(c_0_42,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp1(esk7_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_25])]) ).
cnf(c_0_43,plain,
( cp1(esk7_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_37]),c_0_25])]) ).
fof(c_0_45,plain,
! [X122] :
( ( ~ cp4(X122)
| ~ cp3(X122) )
& ( ~ cp5(X122)
| ~ cp3(X122) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
cnf(c_0_46,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_25])]) ).
cnf(c_0_47,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp1(esk7_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_25])]) ).
cnf(c_0_48,plain,
( ~ cp5(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp1(esk8_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_46]),c_0_25])]) ).
cnf(c_0_50,plain,
( cp1(esk8_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_51,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_43]),c_0_25])]) ).
cnf(c_0_52,plain,
( ~ cp3(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_23]) ).
cnf(c_0_53,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_25])]) ).
cnf(c_0_54,plain,
( ~ cp4(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_55,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp1(esk8_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_51]),c_0_25])]) ).
cnf(c_0_56,plain,
( ~ cp2(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_57,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp3(esk6_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_25])]) ).
cnf(c_0_58,plain,
( cp3(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_59,plain,
( ~ cp2(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_34]) ).
cnf(c_0_60,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_50]),c_0_25])]) ).
cnf(c_0_61,plain,
( ~ cp1(esk9_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_37]) ).
cnf(c_0_62,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_25])]) ).
cnf(c_0_63,plain,
( ~ cp4(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_64,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp2(esk9_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_25])]) ).
cnf(c_0_65,plain,
( esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp1(esk7_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_25])]) ).
cnf(c_0_66,plain,
( ~ cp1(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_34]) ).
cnf(c_0_67,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_37]),c_0_25])]) ).
cnf(c_0_68,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_43]),c_0_25])]) ).
cnf(c_0_69,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp1(esk7_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_25])]) ).
cnf(c_0_70,plain,
( esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp1(esk8_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_68]),c_0_25])]) ).
cnf(c_0_71,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_43]),c_0_25])]) ).
cnf(c_0_72,plain,
( ~ cp3(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_73,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_50]),c_0_25])]) ).
cnf(c_0_74,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp1(esk8_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_71]),c_0_25])]) ).
cnf(c_0_75,plain,
( ~ cp2(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_58]) ).
cnf(c_0_76,plain,
( esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| cp2(esk6_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_73]),c_0_25])]) ).
cnf(c_0_77,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk7_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_50]),c_0_25])]) ).
cnf(c_0_78,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_25])]) ).
cnf(c_0_79,plain,
( esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp1(esk7_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_77]),c_0_25])]) ).
cnf(c_0_80,plain,
( esk9_1(X1) = esk6_1(X1)
| X2 = esk6_1(X1)
| X3 = esk6_1(X1)
| X4 = esk6_1(X1)
| X2 = esk9_1(X1)
| X3 = esk9_1(X1)
| X4 = esk9_1(X1)
| X3 = X2
| X4 = X2
| X4 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ rr(X1,X4)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_81,plain,
( esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| rr(i2003_11_14_17_19_24236,esk8_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_78]),c_0_25])]) ).
cnf(c_0_82,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_43]),c_0_25])]) ).
cnf(c_0_83,plain,
( esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| X1 = esk8_1(i2003_11_14_17_19_24236)
| X2 = esk8_1(i2003_11_14_17_19_24236)
| X1 = esk9_1(i2003_11_14_17_19_24236)
| X2 = esk9_1(i2003_11_14_17_19_24236)
| X1 = esk6_1(i2003_11_14_17_19_24236)
| X2 = esk6_1(i2003_11_14_17_19_24236)
| X1 = X2
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_25])]) ).
cnf(c_0_84,plain,
( esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp1(esk8_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_82]),c_0_25])]) ).
cnf(c_0_85,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk7_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| X1 = esk5_1(i2003_11_14_17_19_24236)
| X1 = esk6_1(i2003_11_14_17_19_24236)
| X1 = esk9_1(i2003_11_14_17_19_24236)
| X1 = esk8_1(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_15]),c_0_25])]) ).
cnf(c_0_86,plain,
esk7_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_50]),c_0_25])]) ).
cnf(c_0_87,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| X1 = esk8_1(i2003_11_14_17_19_24236)
| X1 = esk9_1(i2003_11_14_17_19_24236)
| X1 = esk6_1(i2003_11_14_17_19_24236)
| X1 = esk5_1(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
cnf(c_0_88,plain,
( esk5_1(i2003_11_14_17_19_24236) = esk3_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_19]),c_0_25])]) ).
cnf(c_0_89,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp4(esk3_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_88]),c_0_25])]) ).
cnf(c_0_90,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_34]),c_0_25])]) ).
cnf(c_0_91,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp2(esk9_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_90]),c_0_25])]) ).
cnf(c_0_92,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_37]),c_0_25])]) ).
cnf(c_0_93,plain,
cp1(esk8_1(i2003_11_14_17_19_24236)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_86]),c_0_25])]) ).
cnf(c_0_94,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk5_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_92]),c_0_93]),c_0_25])]) ).
cnf(c_0_95,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp3(esk6_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_94]),c_0_25])]) ).
cnf(c_0_96,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk9_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_58]),c_0_25])]) ).
cnf(c_0_97,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| ~ cp2(esk9_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_96]),c_0_25])]) ).
cnf(c_0_98,plain,
( ~ cp4(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_99,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_37]),c_0_25])]) ).
cnf(c_0_100,plain,
( ~ cp3(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_34]) ).
cnf(c_0_101,plain,
( esk3_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_99]),c_0_93]),c_0_25])]) ).
cnf(c_0_102,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| ~ cp3(esk6_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_25])]) ).
cnf(c_0_103,plain,
( esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk8_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_58]),c_0_25])]) ).
cnf(c_0_104,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| esk9_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_103]),c_0_93]),c_0_25])]) ).
cnf(c_0_105,plain,
( esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236)
| cp2(esk6_1(i2003_11_14_17_19_24236)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_104]),c_0_25])]) ).
cnf(c_0_106,plain,
( ~ cp3(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_107,plain,
esk8_1(i2003_11_14_17_19_24236) = esk6_1(i2003_11_14_17_19_24236),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_105]),c_0_25])]) ).
cnf(c_0_108,plain,
( ~ cp1(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_58]) ).
cnf(c_0_109,plain,
cp1(esk6_1(i2003_11_14_17_19_24236)),
inference(rw,[status(thm)],[c_0_93,c_0_107]) ).
cnf(c_0_110,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS081+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 : n015.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 20:37:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.59/1.81 % Version : CSE_E---1.7
% 1.59/1.81 % Problem : theBenchmark.p
% 1.59/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.81 % SZS output start CNFRefutation
% See solution above
% 1.59/1.81 % Total time : 1.370s
%------------------------------------------------------------------------------