TSTP Solution File: KRS116+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS116+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 13:04:57 EST 2010
% Result : Unsatisfiable 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 101 ( 5 unt; 0 def)
% Number of atoms : 626 ( 0 equ)
% Maximal formula atoms : 164 ( 6 avg)
% Number of connectives : 852 ( 327 ~; 356 |; 148 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 223 ( 2 sgn 143 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_14) ).
fof(2,axiom,
! [X1,X2] :
( rinvS(X1,X2)
<=> rs(X2,X1) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_15) ).
fof(4,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_17) ).
fof(5,axiom,
! [X1] :
( ca_Vx5(X1)
<=> ! [X2] :
( rr(X1,X2)
=> cc(X2) ) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_10) ).
fof(6,axiom,
! [X1] :
( ca_Vx6(X1)
<=> ! [X2] :
( rinvS(X1,X2)
=> caxcomp(X2) ) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_11) ).
fof(7,axiom,
! [X1] :
( ca_Vx7(X1)
<=> ! [X2] :
( rinvP(X1,X2)
=> ca_Vx6(X2) ) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_12) ).
fof(8,axiom,
! [X1,X2] :
( rinvP(X1,X2)
<=> rp(X2,X1) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_13) ).
fof(9,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ca(X1) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_2) ).
fof(10,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ? [X2] :
( rs(X1,X2)
& ca_Ax2(X2) ) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_3) ).
fof(13,axiom,
! [X1] :
( cc(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ca_Vx7(X2) ) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_6) ).
fof(14,axiom,
! [X1] :
( ca_Ax2(X1)
<=> ( ! [X2] :
( rp(X1,X2)
=> ca_Vx3(X2) )
& ! [X2] :
( rp(X1,X2)
=> ca_Vx5(X2) )
& ! [X2] :
( rr(X1,X2)
=> cc(X2) )
& ? [X2] :
( rr(X1,X2)
& cowlThing(X2) )
& ? [X2] :
( rp(X1,X2)
& cowlThing(X2) )
& ! [X2] :
( rp(X1,X2)
=> ca_Vx4(X2) ) ) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_7) ).
fof(15,axiom,
! [X1] :
( ca(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_4) ).
fof(16,axiom,
! [X1] :
( caxcomp(X1)
<=> ? [X4] : ra_Px1(X1,X4) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_5) ).
fof(17,axiom,
! [X1] :
( ca_Vx3(X1)
<=> ? [X2] :
( rr(X1,X2)
& cowlThing(X2) ) ),
file('/tmp/tmpLsVuXk/sel_KRS116+1.p_1',axiom_8) ).
fof(21,plain,
! [X1,X2] :
( ( ~ rinvR(X1,X2)
| rr(X2,X1) )
& ( ~ rr(X2,X1)
| rinvR(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(22,plain,
! [X3,X4] :
( ( ~ rinvR(X3,X4)
| rr(X4,X3) )
& ( ~ rr(X4,X3)
| rinvR(X3,X4) ) ),
inference(variable_rename,[status(thm)],[21]) ).
cnf(23,plain,
( rinvR(X1,X2)
| ~ rr(X2,X1) ),
inference(split_conjunct,[status(thm)],[22]) ).
fof(25,plain,
! [X1,X2] :
( ( ~ rinvS(X1,X2)
| rs(X2,X1) )
& ( ~ rs(X2,X1)
| rinvS(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(26,plain,
! [X3,X4] :
( ( ~ rinvS(X3,X4)
| rs(X4,X3) )
& ( ~ rs(X4,X3)
| rinvS(X3,X4) ) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(27,plain,
( rinvS(X1,X2)
| ~ rs(X2,X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(32,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(split_conjunct,[status(thm)],[4]) ).
fof(33,plain,
! [X1] :
( ( ~ ca_Vx5(X1)
| ! [X2] :
( ~ rr(X1,X2)
| cc(X2) ) )
& ( ? [X2] :
( rr(X1,X2)
& ~ cc(X2) )
| ca_Vx5(X1) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(34,plain,
! [X3] :
( ( ~ ca_Vx5(X3)
| ! [X4] :
( ~ rr(X3,X4)
| cc(X4) ) )
& ( ? [X5] :
( rr(X3,X5)
& ~ cc(X5) )
| ca_Vx5(X3) ) ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,plain,
! [X3] :
( ( ~ ca_Vx5(X3)
| ! [X4] :
( ~ rr(X3,X4)
| cc(X4) ) )
& ( ( rr(X3,esk1_1(X3))
& ~ cc(esk1_1(X3)) )
| ca_Vx5(X3) ) ),
inference(skolemize,[status(esa)],[34]) ).
fof(36,plain,
! [X3,X4] :
( ( ~ rr(X3,X4)
| cc(X4)
| ~ ca_Vx5(X3) )
& ( ( rr(X3,esk1_1(X3))
& ~ cc(esk1_1(X3)) )
| ca_Vx5(X3) ) ),
inference(shift_quantors,[status(thm)],[35]) ).
fof(37,plain,
! [X3,X4] :
( ( ~ rr(X3,X4)
| cc(X4)
| ~ ca_Vx5(X3) )
& ( rr(X3,esk1_1(X3))
| ca_Vx5(X3) )
& ( ~ cc(esk1_1(X3))
| ca_Vx5(X3) ) ),
inference(distribute,[status(thm)],[36]) ).
cnf(40,plain,
( cc(X2)
| ~ ca_Vx5(X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(41,plain,
! [X1] :
( ( ~ ca_Vx6(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| caxcomp(X2) ) )
& ( ? [X2] :
( rinvS(X1,X2)
& ~ caxcomp(X2) )
| ca_Vx6(X1) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(42,plain,
! [X3] :
( ( ~ ca_Vx6(X3)
| ! [X4] :
( ~ rinvS(X3,X4)
| caxcomp(X4) ) )
& ( ? [X5] :
( rinvS(X3,X5)
& ~ caxcomp(X5) )
| ca_Vx6(X3) ) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(43,plain,
! [X3] :
( ( ~ ca_Vx6(X3)
| ! [X4] :
( ~ rinvS(X3,X4)
| caxcomp(X4) ) )
& ( ( rinvS(X3,esk2_1(X3))
& ~ caxcomp(esk2_1(X3)) )
| ca_Vx6(X3) ) ),
inference(skolemize,[status(esa)],[42]) ).
fof(44,plain,
! [X3,X4] :
( ( ~ rinvS(X3,X4)
| caxcomp(X4)
| ~ ca_Vx6(X3) )
& ( ( rinvS(X3,esk2_1(X3))
& ~ caxcomp(esk2_1(X3)) )
| ca_Vx6(X3) ) ),
inference(shift_quantors,[status(thm)],[43]) ).
fof(45,plain,
! [X3,X4] :
( ( ~ rinvS(X3,X4)
| caxcomp(X4)
| ~ ca_Vx6(X3) )
& ( rinvS(X3,esk2_1(X3))
| ca_Vx6(X3) )
& ( ~ caxcomp(esk2_1(X3))
| ca_Vx6(X3) ) ),
inference(distribute,[status(thm)],[44]) ).
cnf(48,plain,
( caxcomp(X2)
| ~ ca_Vx6(X1)
| ~ rinvS(X1,X2) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(49,plain,
! [X1] :
( ( ~ ca_Vx7(X1)
| ! [X2] :
( ~ rinvP(X1,X2)
| ca_Vx6(X2) ) )
& ( ? [X2] :
( rinvP(X1,X2)
& ~ ca_Vx6(X2) )
| ca_Vx7(X1) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(50,plain,
! [X3] :
( ( ~ ca_Vx7(X3)
| ! [X4] :
( ~ rinvP(X3,X4)
| ca_Vx6(X4) ) )
& ( ? [X5] :
( rinvP(X3,X5)
& ~ ca_Vx6(X5) )
| ca_Vx7(X3) ) ),
inference(variable_rename,[status(thm)],[49]) ).
fof(51,plain,
! [X3] :
( ( ~ ca_Vx7(X3)
| ! [X4] :
( ~ rinvP(X3,X4)
| ca_Vx6(X4) ) )
& ( ( rinvP(X3,esk3_1(X3))
& ~ ca_Vx6(esk3_1(X3)) )
| ca_Vx7(X3) ) ),
inference(skolemize,[status(esa)],[50]) ).
fof(52,plain,
! [X3,X4] :
( ( ~ rinvP(X3,X4)
| ca_Vx6(X4)
| ~ ca_Vx7(X3) )
& ( ( rinvP(X3,esk3_1(X3))
& ~ ca_Vx6(esk3_1(X3)) )
| ca_Vx7(X3) ) ),
inference(shift_quantors,[status(thm)],[51]) ).
fof(53,plain,
! [X3,X4] :
( ( ~ rinvP(X3,X4)
| ca_Vx6(X4)
| ~ ca_Vx7(X3) )
& ( rinvP(X3,esk3_1(X3))
| ca_Vx7(X3) )
& ( ~ ca_Vx6(esk3_1(X3))
| ca_Vx7(X3) ) ),
inference(distribute,[status(thm)],[52]) ).
cnf(56,plain,
( ca_Vx6(X2)
| ~ ca_Vx7(X1)
| ~ rinvP(X1,X2) ),
inference(split_conjunct,[status(thm)],[53]) ).
fof(57,plain,
! [X1,X2] :
( ( ~ rinvP(X1,X2)
| rp(X2,X1) )
& ( ~ rp(X2,X1)
| rinvP(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(58,plain,
! [X3,X4] :
( ( ~ rinvP(X3,X4)
| rp(X4,X3) )
& ( ~ rp(X4,X3)
| rinvP(X3,X4) ) ),
inference(variable_rename,[status(thm)],[57]) ).
cnf(59,plain,
( rinvP(X1,X2)
| ~ rp(X2,X1) ),
inference(split_conjunct,[status(thm)],[58]) ).
fof(61,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| ca(X1) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(62,plain,
! [X2] :
( ~ cUnsatisfiable(X2)
| ca(X2) ),
inference(variable_rename,[status(thm)],[61]) ).
cnf(63,plain,
( ca(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(64,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| ? [X2] :
( rs(X1,X2)
& ca_Ax2(X2) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(65,plain,
! [X3] :
( ~ cUnsatisfiable(X3)
| ? [X4] :
( rs(X3,X4)
& ca_Ax2(X4) ) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,plain,
! [X3] :
( ~ cUnsatisfiable(X3)
| ( rs(X3,esk4_1(X3))
& ca_Ax2(esk4_1(X3)) ) ),
inference(skolemize,[status(esa)],[65]) ).
fof(67,plain,
! [X3] :
( ( rs(X3,esk4_1(X3))
| ~ cUnsatisfiable(X3) )
& ( ca_Ax2(esk4_1(X3))
| ~ cUnsatisfiable(X3) ) ),
inference(distribute,[status(thm)],[66]) ).
cnf(68,plain,
( ca_Ax2(esk4_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(69,plain,
( rs(X1,esk4_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(77,plain,
! [X1] :
( ( ~ cc(X1)
| ! [X2] :
( ~ rinvR(X1,X2)
| ca_Vx7(X2) ) )
& ( ? [X2] :
( rinvR(X1,X2)
& ~ ca_Vx7(X2) )
| cc(X1) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(78,plain,
! [X3] :
( ( ~ cc(X3)
| ! [X4] :
( ~ rinvR(X3,X4)
| ca_Vx7(X4) ) )
& ( ? [X5] :
( rinvR(X3,X5)
& ~ ca_Vx7(X5) )
| cc(X3) ) ),
inference(variable_rename,[status(thm)],[77]) ).
fof(79,plain,
! [X3] :
( ( ~ cc(X3)
| ! [X4] :
( ~ rinvR(X3,X4)
| ca_Vx7(X4) ) )
& ( ( rinvR(X3,esk5_1(X3))
& ~ ca_Vx7(esk5_1(X3)) )
| cc(X3) ) ),
inference(skolemize,[status(esa)],[78]) ).
fof(80,plain,
! [X3,X4] :
( ( ~ rinvR(X3,X4)
| ca_Vx7(X4)
| ~ cc(X3) )
& ( ( rinvR(X3,esk5_1(X3))
& ~ ca_Vx7(esk5_1(X3)) )
| cc(X3) ) ),
inference(shift_quantors,[status(thm)],[79]) ).
fof(81,plain,
! [X3,X4] :
( ( ~ rinvR(X3,X4)
| ca_Vx7(X4)
| ~ cc(X3) )
& ( rinvR(X3,esk5_1(X3))
| cc(X3) )
& ( ~ ca_Vx7(esk5_1(X3))
| cc(X3) ) ),
inference(distribute,[status(thm)],[80]) ).
cnf(84,plain,
( ca_Vx7(X2)
| ~ cc(X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[81]) ).
fof(85,plain,
! [X1] :
( ( ~ ca_Ax2(X1)
| ( ! [X2] :
( ~ rp(X1,X2)
| ca_Vx3(X2) )
& ! [X2] :
( ~ rp(X1,X2)
| ca_Vx5(X2) )
& ! [X2] :
( ~ rr(X1,X2)
| cc(X2) )
& ? [X2] :
( rr(X1,X2)
& cowlThing(X2) )
& ? [X2] :
( rp(X1,X2)
& cowlThing(X2) )
& ! [X2] :
( ~ rp(X1,X2)
| ca_Vx4(X2) ) ) )
& ( ? [X2] :
( rp(X1,X2)
& ~ ca_Vx3(X2) )
| ? [X2] :
( rp(X1,X2)
& ~ ca_Vx5(X2) )
| ? [X2] :
( rr(X1,X2)
& ~ cc(X2) )
| ! [X2] :
( ~ rr(X1,X2)
| ~ cowlThing(X2) )
| ! [X2] :
( ~ rp(X1,X2)
| ~ cowlThing(X2) )
| ? [X2] :
( rp(X1,X2)
& ~ ca_Vx4(X2) )
| ca_Ax2(X1) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(86,plain,
! [X3] :
( ( ~ ca_Ax2(X3)
| ( ! [X4] :
( ~ rp(X3,X4)
| ca_Vx3(X4) )
& ! [X5] :
( ~ rp(X3,X5)
| ca_Vx5(X5) )
& ! [X6] :
( ~ rr(X3,X6)
| cc(X6) )
& ? [X7] :
( rr(X3,X7)
& cowlThing(X7) )
& ? [X8] :
( rp(X3,X8)
& cowlThing(X8) )
& ! [X9] :
( ~ rp(X3,X9)
| ca_Vx4(X9) ) ) )
& ( ? [X10] :
( rp(X3,X10)
& ~ ca_Vx3(X10) )
| ? [X11] :
( rp(X3,X11)
& ~ ca_Vx5(X11) )
| ? [X12] :
( rr(X3,X12)
& ~ cc(X12) )
| ! [X13] :
( ~ rr(X3,X13)
| ~ cowlThing(X13) )
| ! [X14] :
( ~ rp(X3,X14)
| ~ cowlThing(X14) )
| ? [X15] :
( rp(X3,X15)
& ~ ca_Vx4(X15) )
| ca_Ax2(X3) ) ),
inference(variable_rename,[status(thm)],[85]) ).
fof(87,plain,
! [X3] :
( ( ~ ca_Ax2(X3)
| ( ! [X4] :
( ~ rp(X3,X4)
| ca_Vx3(X4) )
& ! [X5] :
( ~ rp(X3,X5)
| ca_Vx5(X5) )
& ! [X6] :
( ~ rr(X3,X6)
| cc(X6) )
& rr(X3,esk6_1(X3))
& cowlThing(esk6_1(X3))
& rp(X3,esk7_1(X3))
& cowlThing(esk7_1(X3))
& ! [X9] :
( ~ rp(X3,X9)
| ca_Vx4(X9) ) ) )
& ( ( rp(X3,esk8_1(X3))
& ~ ca_Vx3(esk8_1(X3)) )
| ( rp(X3,esk9_1(X3))
& ~ ca_Vx5(esk9_1(X3)) )
| ( rr(X3,esk10_1(X3))
& ~ cc(esk10_1(X3)) )
| ! [X13] :
( ~ rr(X3,X13)
| ~ cowlThing(X13) )
| ! [X14] :
( ~ rp(X3,X14)
| ~ cowlThing(X14) )
| ( rp(X3,esk11_1(X3))
& ~ ca_Vx4(esk11_1(X3)) )
| ca_Ax2(X3) ) ),
inference(skolemize,[status(esa)],[86]) ).
fof(88,plain,
! [X3,X4,X5,X6,X9,X13,X14] :
( ( ~ rp(X3,X14)
| ~ cowlThing(X14)
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ( rp(X3,esk8_1(X3))
& ~ ca_Vx3(esk8_1(X3)) )
| ( rp(X3,esk9_1(X3))
& ~ ca_Vx5(esk9_1(X3)) )
| ( rr(X3,esk10_1(X3))
& ~ cc(esk10_1(X3)) )
| ( rp(X3,esk11_1(X3))
& ~ ca_Vx4(esk11_1(X3)) )
| ca_Ax2(X3) )
& ( ( ( ~ rp(X3,X9)
| ca_Vx4(X9) )
& ( ~ rr(X3,X6)
| cc(X6) )
& ( ~ rp(X3,X5)
| ca_Vx5(X5) )
& ( ~ rp(X3,X4)
| ca_Vx3(X4) )
& rr(X3,esk6_1(X3))
& cowlThing(esk6_1(X3))
& rp(X3,esk7_1(X3))
& cowlThing(esk7_1(X3)) )
| ~ ca_Ax2(X3) ) ),
inference(shift_quantors,[status(thm)],[87]) ).
fof(89,plain,
! [X3,X4,X5,X6,X9,X13,X14] :
( ( rp(X3,esk11_1(X3))
| rr(X3,esk10_1(X3))
| rp(X3,esk9_1(X3))
| rp(X3,esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ ca_Vx4(esk11_1(X3))
| rr(X3,esk10_1(X3))
| rp(X3,esk9_1(X3))
| rp(X3,esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( rp(X3,esk11_1(X3))
| ~ cc(esk10_1(X3))
| rp(X3,esk9_1(X3))
| rp(X3,esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ ca_Vx4(esk11_1(X3))
| ~ cc(esk10_1(X3))
| rp(X3,esk9_1(X3))
| rp(X3,esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( rp(X3,esk11_1(X3))
| rr(X3,esk10_1(X3))
| ~ ca_Vx5(esk9_1(X3))
| rp(X3,esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ ca_Vx4(esk11_1(X3))
| rr(X3,esk10_1(X3))
| ~ ca_Vx5(esk9_1(X3))
| rp(X3,esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( rp(X3,esk11_1(X3))
| ~ cc(esk10_1(X3))
| ~ ca_Vx5(esk9_1(X3))
| rp(X3,esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ ca_Vx4(esk11_1(X3))
| ~ cc(esk10_1(X3))
| ~ ca_Vx5(esk9_1(X3))
| rp(X3,esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( rp(X3,esk11_1(X3))
| rr(X3,esk10_1(X3))
| rp(X3,esk9_1(X3))
| ~ ca_Vx3(esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ ca_Vx4(esk11_1(X3))
| rr(X3,esk10_1(X3))
| rp(X3,esk9_1(X3))
| ~ ca_Vx3(esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( rp(X3,esk11_1(X3))
| ~ cc(esk10_1(X3))
| rp(X3,esk9_1(X3))
| ~ ca_Vx3(esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ ca_Vx4(esk11_1(X3))
| ~ cc(esk10_1(X3))
| rp(X3,esk9_1(X3))
| ~ ca_Vx3(esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( rp(X3,esk11_1(X3))
| rr(X3,esk10_1(X3))
| ~ ca_Vx5(esk9_1(X3))
| ~ ca_Vx3(esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ ca_Vx4(esk11_1(X3))
| rr(X3,esk10_1(X3))
| ~ ca_Vx5(esk9_1(X3))
| ~ ca_Vx3(esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( rp(X3,esk11_1(X3))
| ~ cc(esk10_1(X3))
| ~ ca_Vx5(esk9_1(X3))
| ~ ca_Vx3(esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ ca_Vx4(esk11_1(X3))
| ~ cc(esk10_1(X3))
| ~ ca_Vx5(esk9_1(X3))
| ~ ca_Vx3(esk8_1(X3))
| ~ rr(X3,X13)
| ~ cowlThing(X13)
| ~ rp(X3,X14)
| ~ cowlThing(X14)
| ca_Ax2(X3) )
& ( ~ rp(X3,X9)
| ca_Vx4(X9)
| ~ ca_Ax2(X3) )
& ( ~ rr(X3,X6)
| cc(X6)
| ~ ca_Ax2(X3) )
& ( ~ rp(X3,X5)
| ca_Vx5(X5)
| ~ ca_Ax2(X3) )
& ( ~ rp(X3,X4)
| ca_Vx3(X4)
| ~ ca_Ax2(X3) )
& ( rr(X3,esk6_1(X3))
| ~ ca_Ax2(X3) )
& ( cowlThing(esk6_1(X3))
| ~ ca_Ax2(X3) )
& ( rp(X3,esk7_1(X3))
| ~ ca_Ax2(X3) )
& ( cowlThing(esk7_1(X3))
| ~ ca_Ax2(X3) ) ),
inference(distribute,[status(thm)],[88]) ).
cnf(91,plain,
( rp(X1,esk7_1(X1))
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(94,plain,
( ca_Vx3(X2)
| ~ ca_Ax2(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(95,plain,
( ca_Vx5(X2)
| ~ ca_Ax2(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(114,plain,
! [X1] :
( ( ~ ca(X1)
| ! [X2] : ~ ra_Px1(X1,X2) )
& ( ? [X2] : ra_Px1(X1,X2)
| ca(X1) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(115,plain,
! [X3] :
( ( ~ ca(X3)
| ! [X4] : ~ ra_Px1(X3,X4) )
& ( ? [X5] : ra_Px1(X3,X5)
| ca(X3) ) ),
inference(variable_rename,[status(thm)],[114]) ).
fof(116,plain,
! [X3] :
( ( ~ ca(X3)
| ! [X4] : ~ ra_Px1(X3,X4) )
& ( ra_Px1(X3,esk12_1(X3))
| ca(X3) ) ),
inference(skolemize,[status(esa)],[115]) ).
fof(117,plain,
! [X3,X4] :
( ( ~ ra_Px1(X3,X4)
| ~ ca(X3) )
& ( ra_Px1(X3,esk12_1(X3))
| ca(X3) ) ),
inference(shift_quantors,[status(thm)],[116]) ).
cnf(119,plain,
( ~ ca(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[117]) ).
fof(120,plain,
! [X1] :
( ( ~ caxcomp(X1)
| ? [X4] : ra_Px1(X1,X4) )
& ( ! [X4] : ~ ra_Px1(X1,X4)
| caxcomp(X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(121,plain,
! [X5] :
( ( ~ caxcomp(X5)
| ? [X6] : ra_Px1(X5,X6) )
& ( ! [X7] : ~ ra_Px1(X5,X7)
| caxcomp(X5) ) ),
inference(variable_rename,[status(thm)],[120]) ).
fof(122,plain,
! [X5] :
( ( ~ caxcomp(X5)
| ra_Px1(X5,esk13_1(X5)) )
& ( ! [X7] : ~ ra_Px1(X5,X7)
| caxcomp(X5) ) ),
inference(skolemize,[status(esa)],[121]) ).
fof(123,plain,
! [X5,X7] :
( ( ~ ra_Px1(X5,X7)
| caxcomp(X5) )
& ( ~ caxcomp(X5)
| ra_Px1(X5,esk13_1(X5)) ) ),
inference(shift_quantors,[status(thm)],[122]) ).
cnf(124,plain,
( ra_Px1(X1,esk13_1(X1))
| ~ caxcomp(X1) ),
inference(split_conjunct,[status(thm)],[123]) ).
fof(126,plain,
! [X1] :
( ( ~ ca_Vx3(X1)
| ? [X2] :
( rr(X1,X2)
& cowlThing(X2) ) )
& ( ! [X2] :
( ~ rr(X1,X2)
| ~ cowlThing(X2) )
| ca_Vx3(X1) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(127,plain,
! [X3] :
( ( ~ ca_Vx3(X3)
| ? [X4] :
( rr(X3,X4)
& cowlThing(X4) ) )
& ( ! [X5] :
( ~ rr(X3,X5)
| ~ cowlThing(X5) )
| ca_Vx3(X3) ) ),
inference(variable_rename,[status(thm)],[126]) ).
fof(128,plain,
! [X3] :
( ( ~ ca_Vx3(X3)
| ( rr(X3,esk14_1(X3))
& cowlThing(esk14_1(X3)) ) )
& ( ! [X5] :
( ~ rr(X3,X5)
| ~ cowlThing(X5) )
| ca_Vx3(X3) ) ),
inference(skolemize,[status(esa)],[127]) ).
fof(129,plain,
! [X3,X5] :
( ( ~ rr(X3,X5)
| ~ cowlThing(X5)
| ca_Vx3(X3) )
& ( ~ ca_Vx3(X3)
| ( rr(X3,esk14_1(X3))
& cowlThing(esk14_1(X3)) ) ) ),
inference(shift_quantors,[status(thm)],[128]) ).
fof(130,plain,
! [X3,X5] :
( ( ~ rr(X3,X5)
| ~ cowlThing(X5)
| ca_Vx3(X3) )
& ( rr(X3,esk14_1(X3))
| ~ ca_Vx3(X3) )
& ( cowlThing(esk14_1(X3))
| ~ ca_Vx3(X3) ) ),
inference(distribute,[status(thm)],[129]) ).
cnf(132,plain,
( rr(X1,esk14_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[130]) ).
cnf(175,plain,
( rinvS(esk4_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[27,69,theory(equality)]) ).
cnf(179,plain,
( ~ ca(X1)
| ~ caxcomp(X1) ),
inference(spm,[status(thm)],[119,124,theory(equality)]) ).
cnf(180,plain,
( ca_Vx5(esk7_1(X1))
| ~ ca_Ax2(X1) ),
inference(spm,[status(thm)],[95,91,theory(equality)]) ).
cnf(184,plain,
( cc(esk14_1(X1))
| ~ ca_Vx5(X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[40,132,theory(equality)]) ).
cnf(188,plain,
( ca_Vx6(X1)
| ~ ca_Vx7(X2)
| ~ rp(X1,X2) ),
inference(spm,[status(thm)],[56,59,theory(equality)]) ).
cnf(191,plain,
( ca_Vx7(X1)
| ~ cc(X2)
| ~ rr(X1,X2) ),
inference(spm,[status(thm)],[84,23,theory(equality)]) ).
cnf(193,plain,
( ca_Vx3(esk7_1(X1))
| ~ ca_Ax2(X1) ),
inference(spm,[status(thm)],[94,91,theory(equality)]) ).
cnf(202,plain,
( ~ caxcomp(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[179,63,theory(equality)]) ).
cnf(229,plain,
( caxcomp(X1)
| ~ ca_Vx6(esk4_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[48,175,theory(equality)]) ).
cnf(237,plain,
( ca_Vx6(X1)
| ~ ca_Vx7(esk7_1(X1))
| ~ ca_Ax2(X1) ),
inference(spm,[status(thm)],[188,91,theory(equality)]) ).
cnf(242,plain,
( ca_Vx7(X1)
| ~ cc(esk14_1(X1))
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[191,132,theory(equality)]) ).
cnf(246,plain,
( ~ ca_Vx6(esk4_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[229,202]) ).
cnf(258,plain,
( ca_Vx7(X1)
| ~ ca_Vx3(X1)
| ~ ca_Vx5(X1) ),
inference(spm,[status(thm)],[242,184,theory(equality)]) ).
cnf(261,plain,
( ca_Vx6(X1)
| ~ ca_Ax2(X1)
| ~ ca_Vx3(esk7_1(X1))
| ~ ca_Vx5(esk7_1(X1)) ),
inference(spm,[status(thm)],[237,258,theory(equality)]) ).
cnf(282,plain,
( ca_Vx6(X1)
| ~ ca_Vx3(esk7_1(X1))
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[261,180]) ).
cnf(283,plain,
( ca_Vx6(X1)
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[282,193]) ).
cnf(285,plain,
( ~ cUnsatisfiable(X1)
| ~ ca_Ax2(esk4_1(X1)) ),
inference(spm,[status(thm)],[246,283,theory(equality)]) ).
cnf(293,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[285,68]) ).
cnf(294,plain,
$false,
inference(sr,[status(thm)],[32,293,theory(equality)]) ).
cnf(295,plain,
$false,
294,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS116+1.p
% --creating new selector for []
% -running prover on /tmp/tmpLsVuXk/sel_KRS116+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS116+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS116+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS116+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
%
%------------------------------------------------------------------------------