%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP642+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 10:55:42 EST 2010
% Result : Theorem 77.71s
% Output : CNFRefutation 77.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 14 unt; 0 def)
% Number of atoms : 150 ( 7 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 170 ( 57 ~; 64 |; 39 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 2 sgn 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(399,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& r1_tarski(X2,X1) ),
file('/tmp/tmpQjFr5k/sel_GRP642+3.p_2',t7_ordinal1) ).
fof(3363,axiom,
! [X1] : r1_tarski(k1_xboole_0,X1),
file('/tmp/tmpQjFr5k/sel_GRP642+3.p_2',t2_xboole_1) ).
fof(4714,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> k1_funct_1(k1_latsubgr(X1),X2) != k1_xboole_0 ) ),
file('/tmp/tmpQjFr5k/sel_GRP642+3.p_2',t20_latsubgr) ).
fof(4715,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
file('/tmp/tmpQjFr5k/sel_GRP642+3.p_2',t19_latsubgr) ).
fof(4730,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> k1_funct_1(k1_latsubgr(X1),X2) != k1_xboole_0 ) ),
inference(assume_negation,[status(cth)],[4714]) ).
fof(5744,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> k1_funct_1(k1_latsubgr(X1),X2) != k1_xboole_0 ) ),
inference(fof_simplification,[status(thm)],[4730,theory(equality)]) ).
fof(5745,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(fof_simplification,[status(thm)],[4715,theory(equality)]) ).
fof(7018,plain,
! [X1,X2] :
( ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(fof_nnf,[status(thm)],[399]) ).
fof(7019,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[7018]) ).
cnf(7020,plain,
( ~ r1_tarski(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[7019]) ).
fof(16803,plain,
! [X2] : r1_tarski(k1_xboole_0,X2),
inference(variable_rename,[status(thm)],[3363]) ).
cnf(16804,plain,
r1_tarski(k1_xboole_0,X1),
inference(split_conjunct,[status(thm)],[16803]) ).
fof(21176,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ? [X2] :
( v1_group_1(X2)
& m1_group_2(X2,X1)
& k1_funct_1(k1_latsubgr(X1),X2) = k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[5744]) ).
fof(21177,negated_conjecture,
? [X3] :
( ~ v3_struct_0(X3)
& v3_group_1(X3)
& v4_group_1(X3)
& l1_group_1(X3)
& ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X3)
& k1_funct_1(k1_latsubgr(X3),X4) = k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[21176]) ).
fof(21178,negated_conjecture,
( ~ v3_struct_0(esk732_0)
& v3_group_1(esk732_0)
& v4_group_1(esk732_0)
& l1_group_1(esk732_0)
& v1_group_1(esk733_0)
& m1_group_2(esk733_0,esk732_0)
& k1_funct_1(k1_latsubgr(esk732_0),esk733_0) = k1_xboole_0 ),
inference(skolemize,[status(esa)],[21177]) ).
cnf(21179,negated_conjecture,
k1_funct_1(k1_latsubgr(esk732_0),esk733_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[21178]) ).
cnf(21180,negated_conjecture,
m1_group_2(esk733_0,esk732_0),
inference(split_conjunct,[status(thm)],[21178]) ).
cnf(21181,negated_conjecture,
v1_group_1(esk733_0),
inference(split_conjunct,[status(thm)],[21178]) ).
cnf(21182,negated_conjecture,
l1_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21178]) ).
cnf(21183,negated_conjecture,
v4_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21178]) ).
cnf(21184,negated_conjecture,
v3_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21178]) ).
cnf(21185,negated_conjecture,
~ v3_struct_0(esk732_0),
inference(split_conjunct,[status(thm)],[21178]) ).
fof(21186,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(fof_nnf,[status(thm)],[5745]) ).
fof(21187,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ! [X4] :
( ~ v1_group_1(X4)
| ~ m1_group_2(X4,X3)
| r2_hidden(k2_group_1(X3),k1_funct_1(k1_latsubgr(X3),X4)) ) ),
inference(variable_rename,[status(thm)],[21186]) ).
fof(21188,plain,
! [X3,X4] :
( ~ v1_group_1(X4)
| ~ m1_group_2(X4,X3)
| r2_hidden(k2_group_1(X3),k1_funct_1(k1_latsubgr(X3),X4))
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(shift_quantors,[status(thm)],[21187]) ).
cnf(21189,plain,
( v3_struct_0(X1)
| r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[21188]) ).
cnf(23073,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(spm,[status(thm)],[7020,16804,theory(equality)]) ).
cnf(42093,negated_conjecture,
( r2_hidden(k2_group_1(esk732_0),k1_xboole_0)
| v3_struct_0(esk732_0)
| ~ v1_group_1(esk733_0)
| ~ m1_group_2(esk733_0,esk732_0)
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(spm,[status(thm)],[21189,21179,theory(equality)]) ).
cnf(42123,negated_conjecture,
( r2_hidden(k2_group_1(esk732_0),k1_xboole_0)
| v3_struct_0(esk732_0)
| $false
| ~ m1_group_2(esk733_0,esk732_0)
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[42093,21181,theory(equality)]) ).
cnf(42124,negated_conjecture,
( r2_hidden(k2_group_1(esk732_0),k1_xboole_0)
| v3_struct_0(esk732_0)
| $false
| $false
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[42123,21180,theory(equality)]) ).
cnf(42125,negated_conjecture,
( r2_hidden(k2_group_1(esk732_0),k1_xboole_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[42124,21182,theory(equality)]) ).
cnf(42126,negated_conjecture,
( r2_hidden(k2_group_1(esk732_0),k1_xboole_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[42125,21183,theory(equality)]) ).
cnf(42127,negated_conjecture,
( r2_hidden(k2_group_1(esk732_0),k1_xboole_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[42126,21184,theory(equality)]) ).
cnf(42128,negated_conjecture,
( r2_hidden(k2_group_1(esk732_0),k1_xboole_0)
| v3_struct_0(esk732_0) ),
inference(cn,[status(thm)],[42127,theory(equality)]) ).
cnf(42129,negated_conjecture,
r2_hidden(k2_group_1(esk732_0),k1_xboole_0),
inference(sr,[status(thm)],[42128,21185,theory(equality)]) ).
cnf(277647,negated_conjecture,
$false,
inference(sr,[status(thm)],[42129,23073,theory(equality)]) ).
cnf(277648,negated_conjecture,
$false,
277647,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP642+3.p
% --creating new selector for [SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+4.ax, SET007+5.ax, SET007+6.ax, SET007+7.ax, SET007+8.ax, SET007+9.ax, SET007+10.ax, SET007+11.ax, SET007+13.ax, SET007+14.ax, SET007+15.ax, SET007+16.ax, SET007+17.ax, SET007+18.ax, SET007+19.ax, SET007+20.ax, SET007+21.ax, SET007+22.ax, SET007+23.ax, SET007+24.ax, SET007+25.ax, SET007+26.ax, SET007+31.ax, SET007+32.ax, SET007+33.ax, SET007+34.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+50.ax, SET007+51.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+61.ax, SET007+64.ax, SET007+66.ax, SET007+67.ax, SET007+68.ax, SET007+71.ax, SET007+75.ax, SET007+76.ax, SET007+77.ax, SET007+79.ax, SET007+80.ax, SET007+86.ax, SET007+91.ax, SET007+117.ax, SET007+125.ax, SET007+126.ax, SET007+148.ax, SET007+159.ax, SET007+165.ax, SET007+170.ax, SET007+182.ax, SET007+186.ax, SET007+188.ax, SET007+190.ax, SET007+200.ax, SET007+202.ax, SET007+205.ax, SET007+206.ax, SET007+207.ax, SET007+209.ax, SET007+210.ax, SET007+211.ax, SET007+212.ax, SET007+213.ax, SET007+217.ax, SET007+218.ax, SET007+223.ax, SET007+224.ax, SET007+225.ax, SET007+227.ax, SET007+237.ax, SET007+241.ax, SET007+242.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+252.ax, SET007+253.ax, SET007+255.ax, SET007+256.ax, SET007+276.ax, SET007+278.ax, SET007+279.ax, SET007+280.ax, SET007+281.ax, SET007+293.ax, SET007+295.ax, SET007+297.ax, SET007+298.ax, SET007+299.ax, SET007+301.ax, SET007+308.ax, SET007+309.ax, SET007+311.ax, SET007+312.ax, SET007+317.ax, SET007+321.ax, SET007+322.ax, SET007+327.ax, SET007+335.ax, SET007+338.ax, SET007+339.ax, SET007+354.ax, SET007+363.ax, SET007+365.ax, SET007+370.ax, SET007+375.ax, SET007+377.ax, SET007+384.ax, SET007+387.ax, SET007+388.ax, SET007+393.ax, SET007+394.ax, SET007+395.ax, SET007+396.ax, SET007+399.ax, SET007+401.ax, SET007+405.ax, SET007+406.ax, SET007+407.ax, SET007+411.ax, SET007+412.ax, SET007+426.ax, SET007+427.ax, SET007+432.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpQjFr5k/sel_GRP642+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpQjFr5k/sel_GRP642+3.p_2 with time limit 80
% -prover status Theorem
% Problem GRP642+3.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP642+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP642+3.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------