%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO528+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n073.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Jan 20 10:18:37 EST 2017
% Result : Theorem 3.33s
% Output : CNFRefutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 15 unt; 0 def)
% Number of atoms : 173 ( 23 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 190 ( 68 ~; 93 |; 29 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 99 ( 0 sgn 63 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(11,axiom,
! [X10,X13] : s_m(X10,midpoint(X10,X13),X13),
file('/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1',aSatz8_22) ).
fof(28,axiom,
! [X10,X13,X11] :
( ( equal(X10,X13)
| s_col(X10,X13,midpoint(X11,reflect(X10,X13,X11))) )
& ( equal(X10,X13)
| equal(X11,reflect(X10,X13,X11))
| perp(X10,X13,X11,reflect(X10,X13,X11)) ) ),
file('/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1',aSatz10_2a) ).
fof(39,conjecture,
! [X10,X13,X11,X21] :
( equal(X10,X13)
| ~ equal(reflect(X10,X13,X11),X21)
| s_col(X10,X13,X11)
| opposite(X11,X10,X13,X21) ),
file('/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1',aSatz10_14) ).
fof(42,axiom,
! [X11,X14,X10,X13,X18] :
( ( equal(X11,X14)
| s_col(X11,X14,X10)
| s_col(X11,X14,X13)
| ~ s_t(X10,X18,X13)
| ~ s_col(X11,X14,X18)
| opposite(X10,X11,X14,X13) )
& ( ~ opposite(X10,X11,X14,X13)
| ~ s_col(X11,X14,X10) )
& ( ~ opposite(X10,X11,X14,X13)
| ~ s_col(X11,X14,X13) )
& ( ~ opposite(X10,X11,X14,X13)
| s_t(X10,il(X10,X13,X11,X14),X13) )
& ( ~ opposite(X10,X11,X14,X13)
| s_col(X11,X14,il(X10,X13,X11,X14)) ) ),
file('/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1',d_Defn9_1) ).
fof(76,axiom,
! [X10,X13,X11] :
( equal(X10,X13)
| equal(reflect(X10,X13,reflect(X10,X13,X11)),X11) ),
file('/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1',aSatz10_5) ).
fof(133,axiom,
! [X10,X13,X11] :
( equal(X10,X13)
| ~ s_col(X10,X13,X11)
| equal(reflect(X10,X13,X11),X11) ),
file('/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1',aSatz10_8b) ).
fof(165,axiom,
! [X10,X20,X13] :
( ( ~ s_m(X10,X20,X13)
| s_t(X10,X20,X13) )
& ( ~ s_m(X10,X20,X13)
| s_e(X20,X10,X20,X13) )
& ( ~ s_t(X10,X20,X13)
| ~ s_e(X20,X10,X20,X13)
| s_m(X10,X20,X13) ) ),
file('/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1',d_Defn7_1) ).
fof(175,axiom,
! [X10,X13,X11] :
( equal(X10,X13)
| ~ equal(reflect(X10,X13,X11),X11)
| s_col(X10,X13,X11) ),
file('/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1',aSatz10_8a) ).
fof(214,negated_conjecture,
~ ! [X10,X13,X11,X21] :
( equal(X10,X13)
| ~ equal(reflect(X10,X13,X11),X21)
| s_col(X10,X13,X11)
| opposite(X11,X10,X13,X21) ),
inference(assume_negation,[status(cth)],[39]) ).
fof(245,plain,
! [X11,X14,X10,X13,X18] :
( ( equal(X11,X14)
| s_col(X11,X14,X10)
| s_col(X11,X14,X13)
| ~ s_t(X10,X18,X13)
| ~ s_col(X11,X14,X18)
| opposite(X10,X11,X14,X13) )
& ( ~ opposite(X10,X11,X14,X13)
| ~ s_col(X11,X14,X10) )
& ( ~ opposite(X10,X11,X14,X13)
| ~ s_col(X11,X14,X13) )
& ( ~ opposite(X10,X11,X14,X13)
| s_t(X10,il(X10,X13,X11,X14),X13) )
& ( ~ opposite(X10,X11,X14,X13)
| s_col(X11,X14,il(X10,X13,X11,X14)) ) ),
inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).
fof(316,plain,
! [X10,X13,X11] :
( equal(X10,X13)
| ~ s_col(X10,X13,X11)
| equal(reflect(X10,X13,X11),X11) ),
inference(fof_simplification,[status(thm)],[133,theory(equality)]) ).
fof(344,plain,
! [X10,X20,X13] :
( ( ~ s_m(X10,X20,X13)
| s_t(X10,X20,X13) )
& ( ~ s_m(X10,X20,X13)
| s_e(X20,X10,X20,X13) )
& ( ~ s_t(X10,X20,X13)
| ~ s_e(X20,X10,X20,X13)
| s_m(X10,X20,X13) ) ),
inference(fof_simplification,[status(thm)],[165,theory(equality)]) ).
fof(405,plain,
! [X14,X15] : s_m(X14,midpoint(X14,X15),X15),
inference(variable_rename,[status(thm)],[11]) ).
cnf(406,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[405]) ).
fof(456,plain,
! [X14,X15,X16] :
( ( equal(X14,X15)
| s_col(X14,X15,midpoint(X16,reflect(X14,X15,X16))) )
& ( equal(X14,X15)
| equal(X16,reflect(X14,X15,X16))
| perp(X14,X15,X16,reflect(X14,X15,X16)) ) ),
inference(variable_rename,[status(thm)],[28]) ).
cnf(458,plain,
( s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3)))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[456]) ).
fof(479,negated_conjecture,
? [X10,X13,X11,X21] :
( ~ equal(X10,X13)
& equal(reflect(X10,X13,X11),X21)
& ~ s_col(X10,X13,X11)
& ~ opposite(X11,X10,X13,X21) ),
inference(fof_nnf,[status(thm)],[214]) ).
fof(480,negated_conjecture,
? [X22,X23,X24,X25] :
( ~ equal(X22,X23)
& equal(reflect(X22,X23,X24),X25)
& ~ s_col(X22,X23,X24)
& ~ opposite(X24,X22,X23,X25) ),
inference(variable_rename,[status(thm)],[479]) ).
fof(481,negated_conjecture,
( ~ equal(esk1_0,esk2_0)
& equal(reflect(esk1_0,esk2_0,esk3_0),esk4_0)
& ~ s_col(esk1_0,esk2_0,esk3_0)
& ~ opposite(esk3_0,esk1_0,esk2_0,esk4_0) ),
inference(skolemize,[status(esa)],[480]) ).
cnf(482,negated_conjecture,
~ opposite(esk3_0,esk1_0,esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[481]) ).
cnf(483,negated_conjecture,
~ s_col(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[481]) ).
cnf(484,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
inference(split_conjunct,[status(thm)],[481]) ).
cnf(485,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[481]) ).
fof(491,plain,
! [X19,X20,X21,X22,X23] :
( ( equal(X19,X20)
| s_col(X19,X20,X21)
| s_col(X19,X20,X22)
| ~ s_t(X21,X23,X22)
| ~ s_col(X19,X20,X23)
| opposite(X21,X19,X20,X22) )
& ( ~ opposite(X21,X19,X20,X22)
| ~ s_col(X19,X20,X21) )
& ( ~ opposite(X21,X19,X20,X22)
| ~ s_col(X19,X20,X22) )
& ( ~ opposite(X21,X19,X20,X22)
| s_t(X21,il(X21,X22,X19,X20),X22) )
& ( ~ opposite(X21,X19,X20,X22)
| s_col(X19,X20,il(X21,X22,X19,X20)) ) ),
inference(variable_rename,[status(thm)],[245]) ).
cnf(496,plain,
( opposite(X1,X2,X3,X4)
| s_col(X2,X3,X4)
| s_col(X2,X3,X1)
| X2 = X3
| ~ s_col(X2,X3,X5)
| ~ s_t(X1,X5,X4) ),
inference(split_conjunct,[status(thm)],[491]) ).
fof(587,plain,
! [X14,X15,X16] :
( equal(X14,X15)
| equal(reflect(X14,X15,reflect(X14,X15,X16)),X16) ),
inference(variable_rename,[status(thm)],[76]) ).
cnf(588,plain,
( reflect(X1,X2,reflect(X1,X2,X3)) = X3
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[587]) ).
fof(716,plain,
! [X14,X15,X16] :
( equal(X14,X15)
| ~ s_col(X14,X15,X16)
| equal(reflect(X14,X15,X16),X16) ),
inference(variable_rename,[status(thm)],[316]) ).
cnf(717,plain,
( reflect(X1,X2,X3) = X3
| X1 = X2
| ~ s_col(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[716]) ).
fof(785,plain,
! [X21,X22,X23] :
( ( ~ s_m(X21,X22,X23)
| s_t(X21,X22,X23) )
& ( ~ s_m(X21,X22,X23)
| s_e(X22,X21,X22,X23) )
& ( ~ s_t(X21,X22,X23)
| ~ s_e(X22,X21,X22,X23)
| s_m(X21,X22,X23) ) ),
inference(variable_rename,[status(thm)],[344]) ).
cnf(788,plain,
( s_t(X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[785]) ).
fof(809,plain,
! [X14,X15,X16] :
( equal(X14,X15)
| ~ equal(reflect(X14,X15,X16),X16)
| s_col(X14,X15,X16) ),
inference(variable_rename,[status(thm)],[175]) ).
cnf(810,plain,
( s_col(X1,X2,X3)
| X1 = X2
| reflect(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[809]) ).
cnf(960,negated_conjecture,
( reflect(esk1_0,esk2_0,esk4_0) = esk3_0
| esk1_0 = esk2_0 ),
inference(spm,[status(thm)],[588,484,theory(equality)]) ).
cnf(961,negated_conjecture,
reflect(esk1_0,esk2_0,esk4_0) = esk3_0,
inference(sr,[status(thm)],[960,485,theory(equality)]) ).
cnf(972,plain,
s_t(X1,midpoint(X1,X2),X2),
inference(spm,[status(thm)],[788,406,theory(equality)]) ).
cnf(977,negated_conjecture,
( esk1_0 = esk2_0
| s_col(esk1_0,esk2_0,esk3_0)
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[810,484,theory(equality)]) ).
cnf(980,negated_conjecture,
( s_col(esk1_0,esk2_0,esk3_0)
| esk4_0 != esk3_0 ),
inference(sr,[status(thm)],[977,485,theory(equality)]) ).
cnf(981,negated_conjecture,
esk4_0 != esk3_0,
inference(sr,[status(thm)],[980,483,theory(equality)]) ).
cnf(1009,negated_conjecture,
( esk1_0 = esk2_0
| s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[458,484,theory(equality)]) ).
cnf(1017,negated_conjecture,
s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)),
inference(sr,[status(thm)],[1009,485,theory(equality)]) ).
cnf(2185,negated_conjecture,
( esk3_0 = esk4_0
| esk1_0 = esk2_0
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[717,961,theory(equality)]) ).
cnf(2195,negated_conjecture,
( esk2_0 = esk1_0
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(sr,[status(thm)],[2185,981,theory(equality)]) ).
cnf(2196,negated_conjecture,
~ s_col(esk1_0,esk2_0,esk4_0),
inference(sr,[status(thm)],[2195,485,theory(equality)]) ).
cnf(2893,plain,
( X1 = X2
| opposite(X3,X1,X2,X4)
| s_col(X1,X2,X3)
| s_col(X1,X2,X4)
| ~ s_col(X1,X2,midpoint(X3,X4)) ),
inference(spm,[status(thm)],[496,972,theory(equality)]) ).
cnf(96868,negated_conjecture,
( esk1_0 = esk2_0
| opposite(esk3_0,esk1_0,esk2_0,esk4_0)
| s_col(esk1_0,esk2_0,esk4_0)
| s_col(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[2893,1017,theory(equality)]) ).
cnf(97015,negated_conjecture,
( opposite(esk3_0,esk1_0,esk2_0,esk4_0)
| s_col(esk1_0,esk2_0,esk4_0)
| s_col(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[96868,485,theory(equality)]) ).
cnf(97016,negated_conjecture,
( s_col(esk1_0,esk2_0,esk4_0)
| s_col(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[97015,482,theory(equality)]) ).
cnf(97017,negated_conjecture,
s_col(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[97016,2196,theory(equality)]) ).
cnf(97018,negated_conjecture,
$false,
inference(sr,[status(thm)],[97017,483,theory(equality)]) ).
cnf(97019,negated_conjecture,
$false,
97018,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO528+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n073.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 20 05:41:02 CST 2017
% 0.03/0.23 % CPUTime :
% 0.06/0.29 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.29 --creating new selector for [GEO011+0.ax]
% 3.33/3.62 -running prover on /export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1 with time limit 29
% 3.33/3.62 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpftg7oS/sel_theBenchmark.p_1']
% 3.33/3.62 -prover status Theorem
% 3.33/3.62 Problem theBenchmark.p solved in phase 0.
% 3.33/3.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.33/3.62 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.33/3.62 Solved 1 out of 1.
% 3.33/3.62 # Problem is unsatisfiable (or provable), constructing proof object
% 3.33/3.62 # SZS status Theorem
% 3.33/3.62 # SZS output start CNFRefutation.
% See solution above
% 3.37/3.62 # SZS output end CNFRefutation
%------------------------------------------------------------------------------