%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:00:43 PM UTC 2026
% Result : Unsatisfiable 0.22s 10.55s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 60 ( 4 unt; 0 def)
% Number of atoms : 693 ( 135 equ)
% Maximal formula atoms : 420 ( 11 avg)
% Number of connectives : 1107 ( 474 ~; 557 |; 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 : 101 ( 1 sgn 31 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( cp2(X5)
& rr(X4,X5) )
& ? [X5] :
( cp(X5)
& cp1(X5)
& rr(X4,X5) )
& ! [X6,X7,X8,X9,X10] :
( ( rr(X4,X10)
& rr(X4,X9)
& rr(X4,X8)
& rr(X4,X7)
& rr(X4,X6) )
=> ( X9 = X10
| X8 = X10
| X8 = X9
| X7 = X10
| X7 = X9
| X7 = X8
| X6 = X10
| X6 = X9
| X6 = X8
| X6 = X7 ) )
& ? [X5] :
( cp1(X5)
& rr(X4,X5) )
& ? [X5] :
( cp3(X5)
& cp(X5)
& rr(X4,X5) )
& ? [X5] :
( cp5(X5)
& rr(X4,X5) )
& ? [X5] :
( cp(X5)
& cp2(X5)
& rr(X4,X5) )
& ? [X5] :
( cp4(X5)
& rr(X4,X5) )
& ? [X5] :
( cp(X5)
& cp4(X5)
& rr(X4,X5) )
& ? [X5] :
( cp3(X5)
& rr(X4,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)
=> ~ ( cp3(X4)
| cp5(X4)
| cp4(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> ~ ( cp3(X4)
| cp5(X4)
| cp4(X4)
| cp2(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_5,axiom,
! [X4] :
( cp3(X4)
=> ~ ( cp5(X4)
| cp4(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_24236),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(c_0_6,plain,
! [X41,X49,X50,X51,X52,X53,X56,X57,X58,X59,X60,X61,X62,X63,X69,X70] :
( ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk13_1(X56) != esk14_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk12_1(X56) != esk14_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk12_1(X56) != esk13_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk11_1(X56) != esk14_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk11_1(X56) != esk13_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk11_1(X56) != esk12_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk10_1(X56) != esk14_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk10_1(X56) != esk13_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk10_1(X56) != esk12_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| esk10_1(X56) != esk11_1(X56) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| rr(X56,esk14_1(X56)) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| rr(X56,esk13_1(X56)) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| rr(X56,esk12_1(X56)) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| rr(X56,esk11_1(X56)) )
& ( cUnsatisfiable(X56)
| ~ cp2(X70)
| ~ rr(X56,X70)
| ~ cp(X69)
| ~ cp1(X69)
| ~ rr(X56,X69)
| ~ cp1(X63)
| ~ rr(X56,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X56,X62)
| ~ cp5(X61)
| ~ rr(X56,X61)
| ~ cp(X60)
| ~ cp2(X60)
| ~ rr(X56,X60)
| ~ cp4(X59)
| ~ rr(X56,X59)
| ~ cp(X58)
| ~ cp4(X58)
| ~ rr(X56,X58)
| ~ cp3(X57)
| ~ rr(X56,X57)
| rr(X56,esk10_1(X56)) )
& ( ~ cUnsatisfiable(X41)
| cp2(esk9_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk9_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp(esk8_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp1(esk8_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk8_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| X52 = X53
| X51 = X53
| X51 = X52
| X50 = X53
| X50 = X52
| X50 = X51
| X49 = X53
| X49 = X52
| X49 = X51
| X49 = X50
| ~ rr(X41,X53)
| ~ rr(X41,X52)
| ~ rr(X41,X51)
| ~ rr(X41,X50)
| ~ rr(X41,X49) )
& ( ~ cUnsatisfiable(X41)
| cp1(esk7_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk7_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp3(esk6_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp(esk6_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk6_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp5(esk5_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk5_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp(esk4_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp2(esk4_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk4_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp4(esk3_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk3_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp(esk2_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp4(esk2_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk2_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| cp3(esk1_1(X41)) )
& ( ~ cUnsatisfiable(X41)
| rr(X41,esk1_1(X41)) ) ),
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)],[axiom_2])])])])])])]) ).
cnf(c_0_7,plain,
( ~ cUnsatisfiable(X1)
| ~ rr(X1,X6)
| ~ rr(X1,X5)
| ~ rr(X1,X4)
| ~ rr(X1,X3)
| ~ rr(X1,X2)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_8,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ cUnsatisfiable(X2)
| ~ rr(X2,X1)
| ~ rr(X2,X3)
| ~ rr(X2,X4)
| ~ rr(X2,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X1 = X5
| X1 = X4
| X1 = X3
| X5 = esk9_1(X2)
| X4 = esk9_1(X2)
| X3 = esk9_1(X2)
| X1 = esk9_1(X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,plain,
! [X4] :
( cp4(X4)
=> ~ cp5(X4) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
cnf(c_0_12,plain,
( ~ cUnsatisfiable(X1)
| ~ rr(X1,X4)
| ~ rr(X1,X3)
| ~ rr(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk9_1(X1)
| X3 = esk9_1(X1)
| X2 = esk9_1(X1)
| X4 = esk8_1(X1)
| X3 = esk8_1(X1)
| X2 = esk8_1(X1)
| esk9_1(X1) = esk8_1(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_14,plain,
! [X74] :
( ~ cp5(X74)
| ~ cp4(X74) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_15,plain,
( ~ cUnsatisfiable(X1)
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| X2 = X3
| X3 = esk8_1(X1)
| X2 = esk8_1(X1)
| X3 = esk9_1(X1)
| X2 = esk9_1(X1)
| X3 = esk6_1(X1)
| X2 = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_17,plain,
! [X72] :
( ( ~ cp2(X72)
| ~ cp3(X72) )
& ( ~ cp2(X72)
| ~ cp5(X72) )
& ( ~ cp2(X72)
| ~ cp4(X72) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])]) ).
cnf(c_0_18,plain,
( ~ cp5(X1)
| ~ cp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ cUnsatisfiable(X1)
| cp5(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( ~ cUnsatisfiable(X1)
| ~ rr(X1,X2)
| X2 = esk6_1(X1)
| X2 = esk9_1(X1)
| X2 = esk8_1(X1)
| X2 = esk5_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk8_1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_22,plain,
! [X71] :
( ( ~ cp1(X71)
| ~ cp3(X71) )
& ( ~ cp1(X71)
| ~ cp5(X71) )
& ( ~ cp1(X71)
| ~ cp4(X71) )
& ( ~ cp1(X71)
| ~ cp2(X71) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])]) ).
cnf(c_0_23,plain,
( ~ cp2(X1)
| ~ cp5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ cUnsatisfiable(X1)
| ~ cp4(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( ~ cUnsatisfiable(X1)
| esk5_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk5_1(X1) = esk3_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk6_1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( ~ cUnsatisfiable(X1)
| cp4(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_27,plain,
! [X73] :
( ( ~ cp3(X73)
| ~ cp5(X73) )
& ( ~ cp3(X73)
| ~ cp4(X73) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])]) ).
cnf(c_0_28,plain,
( ~ cp1(X1)
| ~ cp5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( ~ cUnsatisfiable(X1)
| ~ cp2(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_30,plain,
( ~ cUnsatisfiable(X1)
| esk3_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk5_1(X1) = esk9_1(X1)
| esk5_1(X1) = esk8_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
( ~ cUnsatisfiable(X1)
| cp2(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,plain,
( ~ cp3(X1)
| ~ cp5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( ~ cUnsatisfiable(X1)
| ~ cp1(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_34,plain,
( ~ cUnsatisfiable(X1)
| esk5_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_35,plain,
( ~ cUnsatisfiable(X1)
| cp1(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_36,plain,
( ~ cp2(X1)
| ~ cp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,plain,
( ~ cUnsatisfiable(X1)
| ~ cp3(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_38,plain,
( ~ cUnsatisfiable(X1)
| esk3_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1)
| esk5_1(X1) = esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_39,plain,
( ~ cUnsatisfiable(X1)
| cp3(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_40,plain,
( ~ cp1(X1)
| ~ cp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,plain,
( ~ cUnsatisfiable(X1)
| ~ cp2(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_26]) ).
cnf(c_0_42,plain,
( ~ cUnsatisfiable(X1)
| esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk3_1(X1) = esk9_1(X1)
| esk3_1(X1) = esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_43,plain,
( ~ cp3(X1)
| ~ cp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
( ~ cUnsatisfiable(X1)
| ~ cp1(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_26]) ).
cnf(c_0_45,plain,
( ~ cUnsatisfiable(X1)
| esk3_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk8_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_31]) ).
cnf(c_0_46,plain,
( ~ cp1(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_47,plain,
( ~ cUnsatisfiable(X1)
| ~ cp3(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_26]) ).
cnf(c_0_48,plain,
( ~ cUnsatisfiable(X1)
| esk9_1(X1) = esk8_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1)
| esk3_1(X1) = esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_35]) ).
cnf(c_0_49,plain,
( ~ cUnsatisfiable(X1)
| ~ cp1(esk9_1(X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_31]) ).
cnf(c_0_50,plain,
( ~ cUnsatisfiable(X1)
| esk9_1(X1) = esk6_1(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk8_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_39]) ).
cnf(c_0_51,plain,
( ~ cp2(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52,plain,
( ~ cUnsatisfiable(X1)
| esk8_1(X1) = esk6_1(X1)
| esk9_1(X1) = esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_35]) ).
cnf(c_0_53,plain,
( ~ cUnsatisfiable(X1)
| ~ cp2(esk6_1(X1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_39]) ).
cnf(c_0_54,plain,
( ~ cp1(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_55,plain,
( ~ cUnsatisfiable(X1)
| esk8_1(X1) = esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_52]),c_0_53]) ).
cnf(c_0_56,plain,
( ~ cUnsatisfiable(X1)
| ~ cp1(esk6_1(X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_57,plain,
cUnsatisfiable(i2003_11_14_17_19_24236),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
cnf(c_0_58,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_55]),c_0_56]) ).
cnf(c_0_59,plain,
$false,
inference(sr,[status(thm)],[c_0_57,c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.09 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/10.45 % Computer : n026.cluster.edu
% 0.18/10.45 % Model : x86_64 x86_64
% 0.18/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.45 % Memory : 8046.5625MB
% 0.18/10.45 % OS : Linux 6.8.0-71-generic
% 0.18/10.45 % CPULimit : 300
% 0.18/10.45 % WCLimit : 300
% 0.18/10.45 % DateTime : Sun Sep 20 22:55:32 UTC 2026
% 0.18/10.46 % CPUTime :
% 0.18/10.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/10.50 Running first-order theorem proving
% 0.22/10.50 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.22/10.55 % Version: 3.5.1
% 0.22/10.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.22/10.55 % Starting new_bool_1 with 300s (1) cores
% 0.22/10.55 % Starting sh5l with 300s (1) cores
% 0.22/10.55 % new_bool_3 with pid 771746 completed with status 9
% 0.22/10.55 % new_bool_1 with pid 771747 completed with status 9
% 0.22/10.55 % sh5l with pid 771748 completed with status 9
% 0.22/10.55 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 771745 completed with status 0
% 0.22/10.55 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/10.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/10.55 % No SInE strategy applied
% 0.22/10.55 % Search class: FGHSF-FSMF11-SFFFFFNN
% 0.22/10.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/10.55 % Starting SubtermCWHack with 136s (1) cores
% 0.22/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/10.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.22/10.55 % Starting new_bool_3 with 136s (1) cores
% 0.22/10.55 % Starting new_bool_1 with 136s (1) cores
% 0.22/10.55 % new_bool_1 with pid 771761 completed with status 0
% 0.22/10.55 % Result found by new_bool_1
% 0.22/10.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/10.55 % No SInE strategy applied
% 0.22/10.55 % Search class: FGHSF-FSMF11-SFFFFFNN
% 0.22/10.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/10.55 % Starting SubtermCWHack with 136s (1) cores
% 0.22/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/10.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.22/10.55 % Starting new_bool_3 with 136s (1) cores
% 0.22/10.55 % Starting new_bool_1 with 136s (1) cores
% 0.22/10.55 % Preprocessing time : 0.002 s
% 0.22/10.55 % Presaturation interreduction done
% 0.22/10.55
% 0.22/10.55 % Proof found!
% 0.22/10.55 % SZS status Unsatisfiable
% 0.22/10.55 % SZS output start CNFRefutation
% See solution above
% 0.22/10.55 % Parsed axioms : 21
% 0.22/10.55 % Removed by relevancy pruning/SinE : 0
% 0.22/10.55 % Initial clauses : 66
% 0.22/10.55 % Removed in clause preprocessing : 14
% 0.22/10.55 % Initial clauses in saturation : 52
% 0.22/10.55 % Processed clauses : 250
% 0.22/10.55 % ...of these trivial : 0
% 0.22/10.55 % ...subsumed : 43
% 0.22/10.55 % ...remaining for further processing : 207
% 0.22/10.55 % Other redundant clauses eliminated : 0
% 0.22/10.55 % Clauses deleted for lack of memory : 0
% 0.22/10.55 % Backward-subsumed : 125
% 0.22/10.55 % Backward-rewritten : 0
% 0.22/10.55 % Generated clauses : 585
% 0.22/10.55 % ...of the previous two non-redundant : 487
% 0.22/10.55 % ...aggressively subsumed : 0
% 0.22/10.55 % Contextual simplify-reflections : 38
% 0.22/10.55 % Paramodulations : 533
% 0.22/10.55 % Factorizations : 51
% 0.22/10.55 % NegExts : 0
% 0.22/10.55 % Equation resolutions : 0
% 0.22/10.55 % Disequality decompositions : 0
% 0.22/10.55 % Total rewrite steps : 0
% 0.22/10.55 % ...of those cached : 0
% 0.22/10.55 % Propositional unsat checks : 0
% 0.22/10.55 % Propositional check models : 0
% 0.22/10.55 % Propositional check unsatisfiable : 0
% 0.22/10.55 % Propositional clauses : 0
% 0.22/10.55 % Propositional clauses after purity: 0
% 0.22/10.55 % Propositional unsat core size : 0
% 0.22/10.55 % Propositional preprocessing time : 0.000
% 0.22/10.55 % Propositional encoding time : 0.000
% 0.22/10.55 % Propositional solver time : 0.000
% 0.22/10.55 % Success case prop preproc time : 0.000
% 0.22/10.55 % Success case prop encoding time : 0.000
% 0.22/10.55 % Success case prop solver time : 0.000
% 0.22/10.55 % Current number of processed clauses : 29
% 0.22/10.55 % Positive orientable unit clauses : 0
% 0.22/10.55 % Positive unorientable unit clauses: 0
% 0.22/10.55 % Negative unit clauses : 2
% 0.22/10.55 % Non-unit-clauses : 27
% 0.22/10.55 % Current number of unprocessed clauses: 221
% 0.22/10.55 % ...number of literals in the above : 2684
% 0.22/10.55 % Current number of archived formulas : 0
% 0.22/10.55 % Current number of archived clauses : 179
% 0.22/10.55 % Clause-clause subsumption calls (NU) : 14288
% 0.22/10.55 % Rec. Clause-clause subsumption calls : 8200
% 0.22/10.55 % Non-unit clause-clause subsumptions : 141
% 0.22/10.55 % Unit Clause-clause subsumption calls : 65
% 0.22/10.55 % Rewrite failures with RHS unbound : 0
% 0.22/10.55 % BW rewrite match attempts : 0
% 0.22/10.55 % BW rewrite match successes : 0
% 0.22/10.55 % Condensation attempts : 0
% 0.22/10.55 % Condensation successes : 0
% 0.22/10.55 % Termbank termtop insertions : 24575
% 0.22/10.55 % Search garbage collected termcells : 1092
% 0.22/10.55
% 0.22/10.55 % -------------------------------------------------
% 0.22/10.55 % User time : 0.032 s
% 0.22/10.55 % System time : 0.005 s
% 0.22/10.55 % Total time : 0.037 s
% 0.22/10.55 % Maximum resident set size: 3916 pages
% 0.22/10.55
% 0.22/10.55 % -------------------------------------------------
% 0.22/10.55 % User time : 0.192 s
% 0.22/10.55 % System time : 0.056 s
% 0.22/10.55 % Total time : 0.248 s
% 0.22/10.55 % Maximum resident set size: 4864 pages
% 0.22/10.55 % E exiting
%------------------------------------------------------------------------------