TSTP Solution File: KRS098+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS098+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 12:59:21 EST 2010
% Result : Unsatisfiable 0.32s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 5 unt; 0 def)
% Number of atoms : 667 ( 82 equ)
% Maximal formula atoms : 294 ( 10 avg)
% Number of connectives : 986 ( 381 ~; 427 |; 165 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 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 : 208 ( 1 sgn 122 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( rt1(X1,X2)
=> rtt(X1,X2) ),
file('/tmp/tmpx46T1h/sel_KRS098+1.p_1',axiom_10) ).
fof(3,axiom,
! [X1,X2] :
( rr3(X1,X2)
=> rr(X1,X2) ),
file('/tmp/tmpx46T1h/sel_KRS098+1.p_1',axiom_12) ).
fof(4,axiom,
! [X1,X2] :
( rt3(X1,X2)
=> rtt(X1,X2) ),
file('/tmp/tmpx46T1h/sel_KRS098+1.p_1',axiom_13) ).
fof(6,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ( ? [X2] :
( rr3(X1,X2)
& ? [X5] :
( rt3(X2,X5)
& ce(X5) )
& ! [X6,X7] :
( ( rtt(X2,X6)
& rtt(X2,X7) )
=> X6 = X7 ) )
& ? [X2] :
( rr2(X1,X2)
& ! [X6,X7] :
( ( rtt(X2,X6)
& rtt(X2,X7) )
=> X6 = X7 )
& ? [X5] :
( rt2(X2,X5)
& cd(X5) ) )
& ~ ? [X8,X9] :
( rr(X1,X8)
& rr(X1,X9)
& X8 != X9 )
& ? [X2] :
( rr1(X1,X2)
& ! [X6,X7] :
( ( rtt(X2,X6)
& rtt(X2,X7) )
=> X6 = X7 )
& ? [X5] :
( rt1(X2,X5)
& cc(X5) ) ) ) ),
file('/tmp/tmpx46T1h/sel_KRS098+1.p_1',axiom_2) ).
fof(10,axiom,
! [X1] :
~ ( ce(X1)
& cc(X1) ),
file('/tmp/tmpx46T1h/sel_KRS098+1.p_1',axiom_6) ).
fof(12,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/tmp/tmpx46T1h/sel_KRS098+1.p_1',axiom_4) ).
fof(14,axiom,
! [X1,X2] :
( rr1(X1,X2)
=> rr(X1,X2) ),
file('/tmp/tmpx46T1h/sel_KRS098+1.p_1',axiom_8) ).
fof(42,plain,
! [X1] :
( epred1_1(X1)
<=> ( ? [X2] :
( rr3(X1,X2)
& ? [X5] :
( rt3(X2,X5)
& ce(X5) )
& ! [X6,X7] :
( ( rtt(X2,X6)
& rtt(X2,X7) )
=> X6 = X7 ) )
& ? [X2] :
( rr2(X1,X2)
& ! [X6,X7] :
( ( rtt(X2,X6)
& rtt(X2,X7) )
=> X6 = X7 )
& ? [X5] :
( rt2(X2,X5)
& cd(X5) ) )
& ~ ? [X8,X9] :
( rr(X1,X8)
& rr(X1,X9)
& X8 != X9 ) ) ),
introduced(definition) ).
fof(43,plain,
! [X1] :
( cUnsatisfiable(X1)
<=> ( epred1_1(X1)
& ? [X2] :
( rr1(X1,X2)
& ! [X6,X7] :
( ( rtt(X2,X6)
& rtt(X2,X7) )
=> X6 = X7 )
& ? [X5] :
( rt1(X2,X5)
& cc(X5) ) ) ) ),
inference(apply_def,[status(esa)],[6,42,theory(equality)]) ).
fof(44,plain,
! [X1,X2] :
( ~ rt1(X1,X2)
| rtt(X1,X2) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(45,plain,
! [X3,X4] :
( ~ rt1(X3,X4)
| rtt(X3,X4) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( rtt(X1,X2)
| ~ rt1(X1,X2) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(50,plain,
! [X1,X2] :
( ~ rr3(X1,X2)
| rr(X1,X2) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(51,plain,
! [X3,X4] :
( ~ rr3(X3,X4)
| rr(X3,X4) ),
inference(variable_rename,[status(thm)],[50]) ).
cnf(52,plain,
( rr(X1,X2)
| ~ rr3(X1,X2) ),
inference(split_conjunct,[status(thm)],[51]) ).
fof(53,plain,
! [X1,X2] :
( ~ rt3(X1,X2)
| rtt(X1,X2) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(54,plain,
! [X3,X4] :
( ~ rt3(X3,X4)
| rtt(X3,X4) ),
inference(variable_rename,[status(thm)],[53]) ).
cnf(55,plain,
( rtt(X1,X2)
| ~ rt3(X1,X2) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(59,plain,
! [X1] :
( ( ~ cUnsatisfiable(X1)
| ( epred1_1(X1)
& ? [X2] :
( rr1(X1,X2)
& ! [X6,X7] :
( ~ rtt(X2,X6)
| ~ rtt(X2,X7)
| X6 = X7 )
& ? [X5] :
( rt1(X2,X5)
& cc(X5) ) ) ) )
& ( ~ epred1_1(X1)
| ! [X2] :
( ~ rr1(X1,X2)
| ? [X6,X7] :
( rtt(X2,X6)
& rtt(X2,X7)
& X6 != X7 )
| ! [X5] :
( ~ rt1(X2,X5)
| ~ cc(X5) ) )
| cUnsatisfiable(X1) ) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(60,plain,
! [X8] :
( ( ~ cUnsatisfiable(X8)
| ( epred1_1(X8)
& ? [X9] :
( rr1(X8,X9)
& ! [X10,X11] :
( ~ rtt(X9,X10)
| ~ rtt(X9,X11)
| X10 = X11 )
& ? [X12] :
( rt1(X9,X12)
& cc(X12) ) ) ) )
& ( ~ epred1_1(X8)
| ! [X13] :
( ~ rr1(X8,X13)
| ? [X14,X15] :
( rtt(X13,X14)
& rtt(X13,X15)
& X14 != X15 )
| ! [X16] :
( ~ rt1(X13,X16)
| ~ cc(X16) ) )
| cUnsatisfiable(X8) ) ),
inference(variable_rename,[status(thm)],[59]) ).
fof(61,plain,
! [X8] :
( ( ~ cUnsatisfiable(X8)
| ( epred1_1(X8)
& rr1(X8,esk1_1(X8))
& ! [X10,X11] :
( ~ rtt(esk1_1(X8),X10)
| ~ rtt(esk1_1(X8),X11)
| X10 = X11 )
& rt1(esk1_1(X8),esk2_1(X8))
& cc(esk2_1(X8)) ) )
& ( ~ epred1_1(X8)
| ! [X13] :
( ~ rr1(X8,X13)
| ( rtt(X13,esk3_2(X8,X13))
& rtt(X13,esk4_2(X8,X13))
& esk3_2(X8,X13) != esk4_2(X8,X13) )
| ! [X16] :
( ~ rt1(X13,X16)
| ~ cc(X16) ) )
| cUnsatisfiable(X8) ) ),
inference(skolemize,[status(esa)],[60]) ).
fof(62,plain,
! [X8,X10,X11,X13,X16] :
( ( ~ rt1(X13,X16)
| ~ cc(X16)
| ~ rr1(X8,X13)
| ( rtt(X13,esk3_2(X8,X13))
& rtt(X13,esk4_2(X8,X13))
& esk3_2(X8,X13) != esk4_2(X8,X13) )
| ~ epred1_1(X8)
| cUnsatisfiable(X8) )
& ( ( ( ~ rtt(esk1_1(X8),X10)
| ~ rtt(esk1_1(X8),X11)
| X10 = X11 )
& rr1(X8,esk1_1(X8))
& rt1(esk1_1(X8),esk2_1(X8))
& cc(esk2_1(X8))
& epred1_1(X8) )
| ~ cUnsatisfiable(X8) ) ),
inference(shift_quantors,[status(thm)],[61]) ).
fof(63,plain,
! [X8,X10,X11,X13,X16] :
( ( rtt(X13,esk3_2(X8,X13))
| ~ rr1(X8,X13)
| ~ rt1(X13,X16)
| ~ cc(X16)
| ~ epred1_1(X8)
| cUnsatisfiable(X8) )
& ( rtt(X13,esk4_2(X8,X13))
| ~ rr1(X8,X13)
| ~ rt1(X13,X16)
| ~ cc(X16)
| ~ epred1_1(X8)
| cUnsatisfiable(X8) )
& ( esk3_2(X8,X13) != esk4_2(X8,X13)
| ~ rr1(X8,X13)
| ~ rt1(X13,X16)
| ~ cc(X16)
| ~ epred1_1(X8)
| cUnsatisfiable(X8) )
& ( ~ rtt(esk1_1(X8),X10)
| ~ rtt(esk1_1(X8),X11)
| X10 = X11
| ~ cUnsatisfiable(X8) )
& ( rr1(X8,esk1_1(X8))
| ~ cUnsatisfiable(X8) )
& ( rt1(esk1_1(X8),esk2_1(X8))
| ~ cUnsatisfiable(X8) )
& ( cc(esk2_1(X8))
| ~ cUnsatisfiable(X8) )
& ( epred1_1(X8)
| ~ cUnsatisfiable(X8) ) ),
inference(distribute,[status(thm)],[62]) ).
cnf(64,plain,
( epred1_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(65,plain,
( cc(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(66,plain,
( rt1(esk1_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(67,plain,
( rr1(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(85,plain,
! [X1] :
( ~ ce(X1)
| ~ cc(X1) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(86,plain,
! [X2] :
( ~ ce(X2)
| ~ cc(X2) ),
inference(variable_rename,[status(thm)],[85]) ).
cnf(87,plain,
( ~ cc(X1)
| ~ ce(X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(91,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(split_conjunct,[status(thm)],[12]) ).
fof(95,plain,
! [X1,X2] :
( ~ rr1(X1,X2)
| rr(X1,X2) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(96,plain,
! [X3,X4] :
( ~ rr1(X3,X4)
| rr(X3,X4) ),
inference(variable_rename,[status(thm)],[95]) ).
cnf(97,plain,
( rr(X1,X2)
| ~ rr1(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(173,plain,
! [X1] :
( ( ~ epred1_1(X1)
| ( ? [X2] :
( rr3(X1,X2)
& ? [X5] :
( rt3(X2,X5)
& ce(X5) )
& ! [X6,X7] :
( ~ rtt(X2,X6)
| ~ rtt(X2,X7)
| X6 = X7 ) )
& ? [X2] :
( rr2(X1,X2)
& ! [X6,X7] :
( ~ rtt(X2,X6)
| ~ rtt(X2,X7)
| X6 = X7 )
& ? [X5] :
( rt2(X2,X5)
& cd(X5) ) )
& ! [X8,X9] :
( ~ rr(X1,X8)
| ~ rr(X1,X9)
| X8 = X9 ) ) )
& ( ! [X2] :
( ~ rr3(X1,X2)
| ! [X5] :
( ~ rt3(X2,X5)
| ~ ce(X5) )
| ? [X6,X7] :
( rtt(X2,X6)
& rtt(X2,X7)
& X6 != X7 ) )
| ! [X2] :
( ~ rr2(X1,X2)
| ? [X6,X7] :
( rtt(X2,X6)
& rtt(X2,X7)
& X6 != X7 )
| ! [X5] :
( ~ rt2(X2,X5)
| ~ cd(X5) ) )
| ? [X8,X9] :
( rr(X1,X8)
& rr(X1,X9)
& X8 != X9 )
| epred1_1(X1) ) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(174,plain,
! [X10] :
( ( ~ epred1_1(X10)
| ( ? [X11] :
( rr3(X10,X11)
& ? [X12] :
( rt3(X11,X12)
& ce(X12) )
& ! [X13,X14] :
( ~ rtt(X11,X13)
| ~ rtt(X11,X14)
| X13 = X14 ) )
& ? [X15] :
( rr2(X10,X15)
& ! [X16,X17] :
( ~ rtt(X15,X16)
| ~ rtt(X15,X17)
| X16 = X17 )
& ? [X18] :
( rt2(X15,X18)
& cd(X18) ) )
& ! [X19,X20] :
( ~ rr(X10,X19)
| ~ rr(X10,X20)
| X19 = X20 ) ) )
& ( ! [X21] :
( ~ rr3(X10,X21)
| ! [X22] :
( ~ rt3(X21,X22)
| ~ ce(X22) )
| ? [X23,X24] :
( rtt(X21,X23)
& rtt(X21,X24)
& X23 != X24 ) )
| ! [X25] :
( ~ rr2(X10,X25)
| ? [X26,X27] :
( rtt(X25,X26)
& rtt(X25,X27)
& X26 != X27 )
| ! [X28] :
( ~ rt2(X25,X28)
| ~ cd(X28) ) )
| ? [X29,X30] :
( rr(X10,X29)
& rr(X10,X30)
& X29 != X30 )
| epred1_1(X10) ) ),
inference(variable_rename,[status(thm)],[173]) ).
fof(175,plain,
! [X10] :
( ( ~ epred1_1(X10)
| ( rr3(X10,esk5_1(X10))
& rt3(esk5_1(X10),esk6_1(X10))
& ce(esk6_1(X10))
& ! [X13,X14] :
( ~ rtt(esk5_1(X10),X13)
| ~ rtt(esk5_1(X10),X14)
| X13 = X14 )
& rr2(X10,esk7_1(X10))
& ! [X16,X17] :
( ~ rtt(esk7_1(X10),X16)
| ~ rtt(esk7_1(X10),X17)
| X16 = X17 )
& rt2(esk7_1(X10),esk8_1(X10))
& cd(esk8_1(X10))
& ! [X19,X20] :
( ~ rr(X10,X19)
| ~ rr(X10,X20)
| X19 = X20 ) ) )
& ( ! [X21] :
( ~ rr3(X10,X21)
| ! [X22] :
( ~ rt3(X21,X22)
| ~ ce(X22) )
| ( rtt(X21,esk9_2(X10,X21))
& rtt(X21,esk10_2(X10,X21))
& esk9_2(X10,X21) != esk10_2(X10,X21) ) )
| ! [X25] :
( ~ rr2(X10,X25)
| ( rtt(X25,esk11_2(X10,X25))
& rtt(X25,esk12_2(X10,X25))
& esk11_2(X10,X25) != esk12_2(X10,X25) )
| ! [X28] :
( ~ rt2(X25,X28)
| ~ cd(X28) ) )
| ( rr(X10,esk13_1(X10))
& rr(X10,esk14_1(X10))
& esk13_1(X10) != esk14_1(X10) )
| epred1_1(X10) ) ),
inference(skolemize,[status(esa)],[174]) ).
fof(176,plain,
! [X10,X13,X14,X16,X17,X19,X20,X21,X22,X25,X28] :
( ( ~ rt2(X25,X28)
| ~ cd(X28)
| ~ rr2(X10,X25)
| ( rtt(X25,esk11_2(X10,X25))
& rtt(X25,esk12_2(X10,X25))
& esk11_2(X10,X25) != esk12_2(X10,X25) )
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| ( rtt(X21,esk9_2(X10,X21))
& rtt(X21,esk10_2(X10,X21))
& esk9_2(X10,X21) != esk10_2(X10,X21) )
| ( rr(X10,esk13_1(X10))
& rr(X10,esk14_1(X10))
& esk13_1(X10) != esk14_1(X10) )
| epred1_1(X10) )
& ( ( ( ~ rr(X10,X19)
| ~ rr(X10,X20)
| X19 = X20 )
& ( ~ rtt(esk7_1(X10),X16)
| ~ rtt(esk7_1(X10),X17)
| X16 = X17 )
& rr2(X10,esk7_1(X10))
& rt2(esk7_1(X10),esk8_1(X10))
& cd(esk8_1(X10))
& ( ~ rtt(esk5_1(X10),X13)
| ~ rtt(esk5_1(X10),X14)
| X13 = X14 )
& rr3(X10,esk5_1(X10))
& rt3(esk5_1(X10),esk6_1(X10))
& ce(esk6_1(X10)) )
| ~ epred1_1(X10) ) ),
inference(shift_quantors,[status(thm)],[175]) ).
fof(177,plain,
! [X10,X13,X14,X16,X17,X19,X20,X21,X22,X25,X28] :
( ( rr(X10,esk13_1(X10))
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk13_1(X10))
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk13_1(X10))
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk11_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk13_1(X10))
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk13_1(X10))
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk13_1(X10))
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| rtt(X25,esk12_2(X10,X25))
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk13_1(X10))
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| rtt(X21,esk9_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk13_1(X10))
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| rtt(X21,esk10_2(X10,X21))
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk13_1(X10))
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( rr(X10,esk14_1(X10))
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( esk13_1(X10) != esk14_1(X10)
| esk9_2(X10,X21) != esk10_2(X10,X21)
| ~ rt3(X21,X22)
| ~ ce(X22)
| ~ rr3(X10,X21)
| esk11_2(X10,X25) != esk12_2(X10,X25)
| ~ rr2(X10,X25)
| ~ rt2(X25,X28)
| ~ cd(X28)
| epred1_1(X10) )
& ( ~ rr(X10,X19)
| ~ rr(X10,X20)
| X19 = X20
| ~ epred1_1(X10) )
& ( ~ rtt(esk7_1(X10),X16)
| ~ rtt(esk7_1(X10),X17)
| X16 = X17
| ~ epred1_1(X10) )
& ( rr2(X10,esk7_1(X10))
| ~ epred1_1(X10) )
& ( rt2(esk7_1(X10),esk8_1(X10))
| ~ epred1_1(X10) )
& ( cd(esk8_1(X10))
| ~ epred1_1(X10) )
& ( ~ rtt(esk5_1(X10),X13)
| ~ rtt(esk5_1(X10),X14)
| X13 = X14
| ~ epred1_1(X10) )
& ( rr3(X10,esk5_1(X10))
| ~ epred1_1(X10) )
& ( rt3(esk5_1(X10),esk6_1(X10))
| ~ epred1_1(X10) )
& ( ce(esk6_1(X10))
| ~ epred1_1(X10) ) ),
inference(distribute,[status(thm)],[176]) ).
cnf(178,plain,
( ce(esk6_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(179,plain,
( rt3(esk5_1(X1),esk6_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(180,plain,
( rr3(X1,esk5_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(181,plain,
( X2 = X3
| ~ epred1_1(X1)
| ~ rtt(esk5_1(X1),X3)
| ~ rtt(esk5_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(186,plain,
( X2 = X3
| ~ epred1_1(X1)
| ~ rr(X1,X3)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[177]) ).
cnf(215,plain,
( ~ ce(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[87,65,theory(equality)]) ).
cnf(221,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[97,67,theory(equality)]) ).
cnf(222,plain,
( rtt(esk1_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[46,66,theory(equality)]) ).
cnf(224,plain,
( rtt(esk5_1(X1),esk6_1(X1))
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[55,179,theory(equality)]) ).
cnf(257,plain,
( X1 = esk1_1(X2)
| ~ epred1_1(X2)
| ~ rr(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[186,221,theory(equality)]) ).
cnf(260,plain,
( X1 = esk6_1(X2)
| ~ epred1_1(X2)
| ~ rtt(esk5_1(X2),X1) ),
inference(spm,[status(thm)],[181,224,theory(equality)]) ).
cnf(264,plain,
( X1 = esk1_1(X2)
| ~ cUnsatisfiable(X2)
| ~ rr(X2,X1) ),
inference(csr,[status(thm)],[257,64]) ).
cnf(265,plain,
( X1 = esk1_1(X2)
| ~ cUnsatisfiable(X2)
| ~ rr3(X2,X1) ),
inference(spm,[status(thm)],[264,52,theory(equality)]) ).
cnf(267,plain,
( esk5_1(X1) = esk1_1(X1)
| ~ cUnsatisfiable(X1)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[265,180,theory(equality)]) ).
cnf(268,plain,
( esk1_1(X1) = esk5_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[267,64]) ).
cnf(273,plain,
( rtt(esk5_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[222,268,theory(equality)]) ).
cnf(308,plain,
( esk2_1(X1) = esk6_1(X1)
| ~ epred1_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[260,273,theory(equality)]) ).
cnf(309,plain,
( esk6_1(X1) = esk2_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[308,64]) ).
cnf(310,plain,
( ce(esk2_1(X1))
| ~ epred1_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[178,309,theory(equality)]) ).
cnf(315,plain,
( ce(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[310,64]) ).
cnf(316,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[315,215]) ).
cnf(317,plain,
$false,
inference(sr,[status(thm)],[91,316,theory(equality)]) ).
cnf(318,plain,
$false,
317,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS098+1.p
% --creating new selector for []
% -running prover on /tmp/tmpx46T1h/sel_KRS098+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS098+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS098+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS098+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Unsatisfiable
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------