%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS080+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 1.31s 1.73s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 9 unt; 0 def)
% Number of atoms : 417 ( 78 equ)
% Maximal formula atoms : 235 ( 8 avg)
% Number of connectives : 633 ( 267 ~; 308 |; 53 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 60 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 0 sgn 24 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& cp(X5)
& cp1(X5) )
& ? [X5] :
( rr(X4,X5)
& cp1(X5) )
& ? [X5] :
( rr(X4,X5)
& cp4(X5) )
& ! [X6,X7,X8,X9] :
( ( rr(X4,X6)
& rr(X4,X7)
& rr(X4,X8)
& rr(X4,X9) )
=> ( X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9 ) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5) )
& ? [X5] :
( rr(X4,X5)
& cp3(X5) )
& ? [X5] :
( rr(X4,X5)
& cp(X5)
& cp3(X5) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5)
& cp(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_4,axiom,
! [X4] :
( cp2(X4)
=> ~ ( cp4(X4)
| cp5(X4)
| cp3(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X4] :
( cp3(X4)
=> ~ ( cp4(X4)
| cp5(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> ~ ( cp2(X4)
| cp4(X4)
| cp5(X4)
| cp3(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(c_0_5,plain,
! [X86,X90,X91,X92,X93,X98,X99,X100,X101,X106,X107,X108,X109] :
( ( rr(X86,esk1_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp(esk1_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp1(esk1_1(X86))
| ~ cUnsatisfiable(X86) )
& ( rr(X86,esk2_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp1(esk2_1(X86))
| ~ cUnsatisfiable(X86) )
& ( rr(X86,esk3_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp4(esk3_1(X86))
| ~ cUnsatisfiable(X86) )
& ( ~ rr(X86,X90)
| ~ rr(X86,X91)
| ~ rr(X86,X92)
| ~ rr(X86,X93)
| X90 = X91
| X90 = X92
| X90 = X93
| X91 = X92
| X91 = X93
| X92 = X93
| ~ cUnsatisfiable(X86) )
& ( rr(X86,esk4_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp2(esk4_1(X86))
| ~ cUnsatisfiable(X86) )
& ( rr(X86,esk5_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp3(esk5_1(X86))
| ~ cUnsatisfiable(X86) )
& ( rr(X86,esk6_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp(esk6_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp3(esk6_1(X86))
| ~ cUnsatisfiable(X86) )
& ( rr(X86,esk7_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp2(esk7_1(X86))
| ~ cUnsatisfiable(X86) )
& ( cp(esk7_1(X86))
| ~ cUnsatisfiable(X86) )
& ( rr(X98,esk8_1(X98))
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( rr(X98,esk9_1(X98))
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( rr(X98,esk10_1(X98))
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( rr(X98,esk11_1(X98))
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( esk8_1(X98) != esk9_1(X98)
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( esk8_1(X98) != esk10_1(X98)
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( esk8_1(X98) != esk11_1(X98)
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( esk9_1(X98) != esk10_1(X98)
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( esk9_1(X98) != esk11_1(X98)
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) )
& ( esk10_1(X98) != esk11_1(X98)
| ~ rr(X98,X99)
| ~ cp(X99)
| ~ cp1(X99)
| ~ rr(X98,X100)
| ~ cp1(X100)
| ~ rr(X98,X101)
| ~ cp4(X101)
| ~ rr(X98,X106)
| ~ cp2(X106)
| ~ rr(X98,X107)
| ~ cp3(X107)
| ~ rr(X98,X108)
| ~ cp(X108)
| ~ cp3(X108)
| ~ rr(X98,X109)
| ~ cp2(X109)
| ~ cp(X109)
| cUnsatisfiable(X98) ) ),
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_6,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
cnf(c_0_8,plain,
( X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ rr(X1,X4)
| ~ rr(X1,X5)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
rr(i2003_11_14_17_19_21224,esk1_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( rr(X1,esk7_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( X1 = esk1_1(i2003_11_14_17_19_21224)
| X2 = esk1_1(i2003_11_14_17_19_21224)
| X3 = esk1_1(i2003_11_14_17_19_21224)
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rr(i2003_11_14_17_19_21224,X3)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7])]) ).
cnf(c_0_12,plain,
rr(i2003_11_14_17_19_21224,esk7_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_13,plain,
( rr(X1,esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
! [X111] :
( ( ~ cp4(X111)
| ~ cp2(X111) )
& ( ~ cp5(X111)
| ~ cp2(X111) )
& ( ~ cp3(X111)
| ~ cp2(X111) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
cnf(c_0_15,plain,
( esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224)
| X2 = esk7_1(i2003_11_14_17_19_21224)
| X1 = esk1_1(i2003_11_14_17_19_21224)
| X2 = esk1_1(i2003_11_14_17_19_21224)
| X2 = X1
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
rr(i2003_11_14_17_19_21224,esk6_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_17,plain,
( rr(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( ~ cp4(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( cp4(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| X1 = esk6_1(i2003_11_14_17_19_21224)
| X1 = esk1_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
rr(i2003_11_14_17_19_21224,esk3_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
fof(c_0_22,plain,
! [X112] :
( ( ~ cp4(X112)
| ~ cp3(X112) )
& ( ~ cp5(X112)
| ~ cp3(X112) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
cnf(c_0_23,plain,
( ~ cp2(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( ~ cp4(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| ~ cp2(esk7_1(i2003_11_14_17_19_21224)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_7])]) ).
cnf(c_0_27,plain,
( cp2(esk7_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_28,plain,
! [X110] :
( ( ~ cp2(X110)
| ~ cp1(X110) )
& ( ~ cp4(X110)
| ~ cp1(X110) )
& ( ~ cp5(X110)
| ~ cp1(X110) )
& ( ~ cp3(X110)
| ~ cp1(X110) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_29,plain,
( ~ cp3(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_30,plain,
( esk3_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_7])]) ).
cnf(c_0_31,plain,
( ~ cp4(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| ~ cp3(esk6_1(i2003_11_14_17_19_21224)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_7])]) ).
cnf(c_0_33,plain,
( cp3(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_34,plain,
( ~ cp1(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_35,plain,
( esk3_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_7])]) ).
cnf(c_0_36,plain,
( esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| ~ cp1(esk1_1(i2003_11_14_17_19_21224)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_7])]) ).
cnf(c_0_37,plain,
( cp1(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,plain,
( ~ cp3(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_39,plain,
( esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_7])]) ).
cnf(c_0_40,plain,
( ~ cp2(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( ~ cp2(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_42,plain,
( esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| cp2(esk6_1(i2003_11_14_17_19_21224)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_39]),c_0_7])]) ).
cnf(c_0_43,plain,
( ~ cp1(esk7_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_44,plain,
( esk7_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_7])]) ).
cnf(c_0_45,plain,
( ~ cp3(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,plain,
( esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224)
| ~ cp1(esk1_1(i2003_11_14_17_19_21224)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_7])]) ).
cnf(c_0_47,plain,
( ~ cp1(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_33]) ).
cnf(c_0_48,plain,
esk6_1(i2003_11_14_17_19_21224) = esk1_1(i2003_11_14_17_19_21224),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_7])]) ).
cnf(c_0_49,plain,
~ cp1(esk1_1(i2003_11_14_17_19_21224)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_7])]) ).
cnf(c_0_50,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_37]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS080+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n015.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 20:37:17 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.31/1.73 % Version : CSE_E---1.7
% 1.31/1.73 % Problem : theBenchmark.p
% 1.31/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/1.73 % SZS output start CNFRefutation
% See solution above
% 1.31/1.73 % Total time : 1.370s
%------------------------------------------------------------------------------