TSTP Solution File: GRP642+2 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP642+2 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 10:55:17 EST 2010
% Result : Theorem 23.54s
% Output : CNFRefutation 23.54s
% 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(1524,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& r1_tarski(X2,X1) ),
file('/tmp/tmp0-bARs/sel_GRP642+2.p_1',t7_ordinal1) ).
fof(2082,axiom,
! [X1] : r1_tarski(k1_xboole_0,X1),
file('/tmp/tmp0-bARs/sel_GRP642+2.p_1',t2_xboole_1) ).
fof(2973,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/tmp0-bARs/sel_GRP642+2.p_1',t20_latsubgr) ).
fof(2974,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/tmp0-bARs/sel_GRP642+2.p_1',t19_latsubgr) ).
fof(2989,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)],[2973]) ).
fof(3683,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)],[2989,theory(equality)]) ).
fof(3684,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)],[2974,theory(equality)]) ).
fof(8833,plain,
! [X1,X2] :
( ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(fof_nnf,[status(thm)],[1524]) ).
fof(8834,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[8833]) ).
cnf(8835,plain,
( ~ r1_tarski(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[8834]) ).
fof(10588,plain,
! [X2] : r1_tarski(k1_xboole_0,X2),
inference(variable_rename,[status(thm)],[2082]) ).
cnf(10589,plain,
r1_tarski(k1_xboole_0,X1),
inference(split_conjunct,[status(thm)],[10588]) ).
fof(13484,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)],[3683]) ).
fof(13485,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)],[13484]) ).
fof(13486,negated_conjecture,
( ~ v3_struct_0(esk442_0)
& v3_group_1(esk442_0)
& v4_group_1(esk442_0)
& l1_group_1(esk442_0)
& v1_group_1(esk443_0)
& m1_group_2(esk443_0,esk442_0)
& k1_funct_1(k1_latsubgr(esk442_0),esk443_0) = k1_xboole_0 ),
inference(skolemize,[status(esa)],[13485]) ).
cnf(13487,negated_conjecture,
k1_funct_1(k1_latsubgr(esk442_0),esk443_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[13486]) ).
cnf(13488,negated_conjecture,
m1_group_2(esk443_0,esk442_0),
inference(split_conjunct,[status(thm)],[13486]) ).
cnf(13489,negated_conjecture,
v1_group_1(esk443_0),
inference(split_conjunct,[status(thm)],[13486]) ).
cnf(13490,negated_conjecture,
l1_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13486]) ).
cnf(13491,negated_conjecture,
v4_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13486]) ).
cnf(13492,negated_conjecture,
v3_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13486]) ).
cnf(13493,negated_conjecture,
~ v3_struct_0(esk442_0),
inference(split_conjunct,[status(thm)],[13486]) ).
fof(13494,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)],[3684]) ).
fof(13495,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)],[13494]) ).
fof(13496,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)],[13495]) ).
cnf(13497,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)],[13496]) ).
cnf(14495,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(spm,[status(thm)],[8835,10589,theory(equality)]) ).
cnf(25826,negated_conjecture,
( r2_hidden(k2_group_1(esk442_0),k1_xboole_0)
| v3_struct_0(esk442_0)
| ~ v1_group_1(esk443_0)
| ~ m1_group_2(esk443_0,esk442_0)
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(spm,[status(thm)],[13497,13487,theory(equality)]) ).
cnf(25845,negated_conjecture,
( r2_hidden(k2_group_1(esk442_0),k1_xboole_0)
| v3_struct_0(esk442_0)
| $false
| ~ m1_group_2(esk443_0,esk442_0)
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[25826,13489,theory(equality)]) ).
cnf(25846,negated_conjecture,
( r2_hidden(k2_group_1(esk442_0),k1_xboole_0)
| v3_struct_0(esk442_0)
| $false
| $false
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[25845,13488,theory(equality)]) ).
cnf(25847,negated_conjecture,
( r2_hidden(k2_group_1(esk442_0),k1_xboole_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[25846,13490,theory(equality)]) ).
cnf(25848,negated_conjecture,
( r2_hidden(k2_group_1(esk442_0),k1_xboole_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[25847,13491,theory(equality)]) ).
cnf(25849,negated_conjecture,
( r2_hidden(k2_group_1(esk442_0),k1_xboole_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[25848,13492,theory(equality)]) ).
cnf(25850,negated_conjecture,
( r2_hidden(k2_group_1(esk442_0),k1_xboole_0)
| v3_struct_0(esk442_0) ),
inference(cn,[status(thm)],[25849,theory(equality)]) ).
cnf(25851,negated_conjecture,
r2_hidden(k2_group_1(esk442_0),k1_xboole_0),
inference(sr,[status(thm)],[25850,13493,theory(equality)]) ).
cnf(132241,negated_conjecture,
$false,
inference(sr,[status(thm)],[25851,14495,theory(equality)]) ).
cnf(132242,negated_conjecture,
$false,
132241,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP642+2.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+16.ax, SET007+17.ax, SET007+18.ax, SET007+20.ax, SET007+22.ax, SET007+23.ax, SET007+25.ax, SET007+26.ax, SET007+31.ax, SET007+32.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+71.ax, SET007+117.ax, SET007+200.ax, SET007+205.ax, SET007+210.ax, SET007+212.ax, SET007+213.ax, SET007+218.ax, SET007+242.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+252.ax, SET007+255.ax, SET007+295.ax, SET007+312.ax, SET007+335.ax, SET007+375.ax, SET007+432.ax]
% -running prover on /tmp/tmp0-bARs/sel_GRP642+2.p_1 with time limit 29
% -prover status Theorem
% Problem GRP642+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP642+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP642+2.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
%
%------------------------------------------------------------------------------