TSTP Solution File: GEO523+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO523+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n043.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 10:18:36 EST 2017
% Result : Theorem 10.47s
% Output : CNFRefutation 10.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 27
% Syntax : Number of formulae : 190 ( 48 unt; 0 def)
% Number of atoms : 483 ( 116 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 495 ( 202 ~; 259 |; 34 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 448 ( 9 sgn 227 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X9,X7] :
( s_t(X1,X2,ext(X1,X2,X9,X7))
& s_e(X2,ext(X1,X2,X9,X7),X9,X7) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aA4) ).
fof(4,axiom,
! [X1,X2] :
( ~ s_t(X1,X2,X1)
| equal(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aA6) ).
fof(11,axiom,
! [X10,X13] : s_m(X10,midpoint(X10,X13),X13),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz8_22) ).
fof(19,axiom,
! [X10,X13,X11,X21] :
( ( equal(X10,X13)
| ~ s_col(X10,X13,midpoint(X11,X21))
| ~ perp(X10,X13,X11,X21)
| equal(X21,reflect(X10,X13,X11)) )
& ( equal(X10,X13)
| ~ s_col(X10,X13,midpoint(X11,X21))
| ~ equal(X11,X21)
| equal(X21,reflect(X10,X13,X11)) ) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz10_2b) ).
fof(27,axiom,
! [X11,X10,X14] :
( ~ s_m(X11,X10,X14)
| equal(X14,s(X10,X11)) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_6) ).
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/tmpm9DCz1/sel_theBenchmark.p_1',aSatz10_2a) ).
fof(31,axiom,
! [X11,X14,X10] : s_e(X11,X14,s(X10,X11),s(X10,X14)),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_13) ).
fof(40,axiom,
! [X10,X13,X12,X17,X11] :
( equal(X10,X13)
| equal(X12,X17)
| ~ s_col(X10,X13,X12)
| ~ s_col(X10,X13,X17)
| ~ s_col(X12,X17,X11)
| s_col(X10,X13,X11) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aExtCol2) ).
fof(57,axiom,
! [X10,X11] :
( equal(s(X10,X11),X11)
| ~ equal(X11,X10) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_10b) ).
fof(79,axiom,
! [X10,X13,X11] :
( ~ equal(s(X10,s(X13,X11)),s(X13,s(X10,X11)))
| equal(X10,X13) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_19) ).
fof(89,axiom,
! [X10,X11,X14] :
( ~ equal(s(X10,X11),s(X10,X14))
| equal(X11,X14) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_9) ).
fof(95,axiom,
! [X10,X20,X13] :
( ~ s_m(X10,X20,X13)
| s_m(X13,X20,X10) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_2) ).
fof(96,axiom,
! [X10,X11] : equal(s(X10,s(X10,X11)),X11),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_7) ).
fof(108,axiom,
! [X10,X13,X11,X14] :
( ~ perp(X10,X13,X11,X14)
| perp(X10,X13,X14,X11) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aExtPerp4) ).
fof(110,axiom,
! [X10,X13,X12] :
( ( ~ s_col(X10,X13,X12)
| s_t(X10,X13,X12)
| s_t(X13,X12,X10)
| s_t(X12,X10,X13) )
& ( s_col(X10,X13,X12)
| ~ s_t(X10,X13,X12) )
& ( s_col(X10,X13,X12)
| ~ s_t(X13,X12,X10) )
& ( s_col(X10,X13,X12)
| ~ s_t(X12,X10,X13) ) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',d_Defn4_10) ).
fof(118,axiom,
! [X10,X13,X11,X14] :
( ~ perp(X10,X13,X11,X14)
| perp(X13,X10,X11,X14) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aperp1) ).
fof(121,axiom,
! [X27,X29] : s_t(X27,X27,X29),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz3_3) ).
fof(123,axiom,
! [X10,X13] : s_t(X10,X13,X13),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz3_1) ).
fof(126,conjecture,
! [X10,X13,X11,X21] :
( equal(X10,X13)
| ~ equal(reflect(X10,X13,X11),X21)
| equal(reflect(X10,X13,X21),X11) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz10_4) ).
fof(129,axiom,
! [X10,X12,X17] : le(X10,X10,X12,X17),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz5_11) ).
fof(131,axiom,
! [X10,X20] :
( ~ s_m(X10,X20,X10)
| equal(X20,X10) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_3a) ).
fof(135,axiom,
! [X10,X13,X12] :
( ~ s_col(X10,X13,X12)
| s_col(X13,X10,X12) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz4_11d) ).
fof(139,axiom,
! [X10,X13,X12,X17,X22,X45] :
( ~ le(X10,X13,X12,X17)
| ~ le(X12,X17,X22,X45)
| le(X10,X13,X22,X45) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz5_8) ).
fof(156,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/tmpm9DCz1/sel_theBenchmark.p_1',d_Defn7_1) ).
fof(165,axiom,
! [X10,X13,X12,X17,X2] :
( ( ~ le(X10,X13,X12,X17)
| s_t(X12,insert(X10,X13,X12,X17),X17) )
& ( ~ le(X10,X13,X12,X17)
| s_e(X10,X13,X12,insert(X10,X13,X12,X17)) )
& ( ~ s_t(X12,X2,X17)
| ~ s_e(X10,X13,X12,X2)
| le(X10,X13,X12,X17) ) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',d_Defn5_4) ).
fof(171,axiom,
! [X11,X10,X14,X13] :
( ~ s_m(X11,X10,X14)
| ~ s_m(X11,X13,X14)
| equal(X10,X13) ),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',aSatz7_17) ).
fof(193,axiom,
! [X10,X13,X27,X40] : equal(insert(X10,X13,X27,X40),ext(ext(X40,X27,alpha,gamma),X27,X10,X13)),
file('/export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1',d_insert) ).
fof(202,negated_conjecture,
~ ! [X10,X13,X11,X21] :
( equal(X10,X13)
| ~ equal(reflect(X10,X13,X11),X21)
| equal(reflect(X10,X13,X21),X11) ),
inference(assume_negation,[status(cth)],[126]) ).
fof(205,plain,
! [X1,X2] :
( ~ s_t(X1,X2,X1)
| equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(216,plain,
! [X10,X13,X11,X21] :
( ( equal(X10,X13)
| ~ s_col(X10,X13,midpoint(X11,X21))
| ~ perp(X10,X13,X11,X21)
| equal(X21,reflect(X10,X13,X11)) )
& ( equal(X10,X13)
| ~ s_col(X10,X13,midpoint(X11,X21))
| ~ equal(X11,X21)
| equal(X21,reflect(X10,X13,X11)) ) ),
inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).
fof(224,plain,
! [X11,X10,X14] :
( ~ s_m(X11,X10,X14)
| equal(X14,s(X10,X11)) ),
inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).
fof(233,plain,
! [X10,X13,X12,X17,X11] :
( equal(X10,X13)
| equal(X12,X17)
| ~ s_col(X10,X13,X12)
| ~ s_col(X10,X13,X17)
| ~ s_col(X12,X17,X11)
| s_col(X10,X13,X11) ),
inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).
fof(277,plain,
! [X10,X20,X13] :
( ~ s_m(X10,X20,X13)
| s_m(X13,X20,X10) ),
inference(fof_simplification,[status(thm)],[95,theory(equality)]) ).
fof(288,plain,
! [X10,X13,X11,X14] :
( ~ perp(X10,X13,X11,X14)
| perp(X10,X13,X14,X11) ),
inference(fof_simplification,[status(thm)],[108,theory(equality)]) ).
fof(290,plain,
! [X10,X13,X12] :
( ( ~ s_col(X10,X13,X12)
| s_t(X10,X13,X12)
| s_t(X13,X12,X10)
| s_t(X12,X10,X13) )
& ( s_col(X10,X13,X12)
| ~ s_t(X10,X13,X12) )
& ( s_col(X10,X13,X12)
| ~ s_t(X13,X12,X10) )
& ( s_col(X10,X13,X12)
| ~ s_t(X12,X10,X13) ) ),
inference(fof_simplification,[status(thm)],[110,theory(equality)]) ).
fof(297,plain,
! [X10,X13,X11,X14] :
( ~ perp(X10,X13,X11,X14)
| perp(X13,X10,X11,X14) ),
inference(fof_simplification,[status(thm)],[118,theory(equality)]) ).
fof(303,plain,
! [X10,X20] :
( ~ s_m(X10,X20,X10)
| equal(X20,X10) ),
inference(fof_simplification,[status(thm)],[131,theory(equality)]) ).
fof(307,plain,
! [X10,X13,X12] :
( ~ s_col(X10,X13,X12)
| s_col(X13,X10,X12) ),
inference(fof_simplification,[status(thm)],[135,theory(equality)]) ).
fof(311,plain,
! [X10,X13,X12,X17,X22,X45] :
( ~ le(X10,X13,X12,X17)
| ~ le(X12,X17,X22,X45)
| le(X10,X13,X22,X45) ),
inference(fof_simplification,[status(thm)],[139,theory(equality)]) ).
fof(327,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)],[156,theory(equality)]) ).
fof(334,plain,
! [X10,X13,X12,X17,X2] :
( ( ~ le(X10,X13,X12,X17)
| s_t(X12,insert(X10,X13,X12,X17),X17) )
& ( ~ le(X10,X13,X12,X17)
| s_e(X10,X13,X12,insert(X10,X13,X12,X17)) )
& ( ~ s_t(X12,X2,X17)
| ~ s_e(X10,X13,X12,X2)
| le(X10,X13,X12,X17) ) ),
inference(fof_simplification,[status(thm)],[165,theory(equality)]) ).
fof(338,plain,
! [X11,X10,X14,X13] :
( ~ s_m(X11,X10,X14)
| ~ s_m(X11,X13,X14)
| equal(X10,X13) ),
inference(fof_simplification,[status(thm)],[171,theory(equality)]) ).
fof(366,plain,
! [X10,X11,X12,X13] :
( s_t(X10,X11,ext(X10,X11,X12,X13))
& s_e(X11,ext(X10,X11,X12,X13),X12,X13) ),
inference(variable_rename,[status(thm)],[2]) ).
cnf(367,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[366]) ).
fof(372,plain,
! [X3,X4] :
( ~ s_t(X3,X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[205]) ).
cnf(373,plain,
( X1 = X2
| ~ s_t(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[372]) ).
fof(387,plain,
! [X14,X15] : s_m(X14,midpoint(X14,X15),X15),
inference(variable_rename,[status(thm)],[11]) ).
cnf(388,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[387]) ).
fof(406,plain,
! [X22,X23,X24,X25] :
( ( equal(X22,X23)
| ~ s_col(X22,X23,midpoint(X24,X25))
| ~ perp(X22,X23,X24,X25)
| equal(X25,reflect(X22,X23,X24)) )
& ( equal(X22,X23)
| ~ s_col(X22,X23,midpoint(X24,X25))
| ~ equal(X24,X25)
| equal(X25,reflect(X22,X23,X24)) ) ),
inference(variable_rename,[status(thm)],[216]) ).
cnf(407,plain,
( X1 = reflect(X2,X3,X4)
| X2 = X3
| X4 != X1
| ~ s_col(X2,X3,midpoint(X4,X1)) ),
inference(split_conjunct,[status(thm)],[406]) ).
cnf(408,plain,
( X1 = reflect(X2,X3,X4)
| X2 = X3
| ~ perp(X2,X3,X4,X1)
| ~ s_col(X2,X3,midpoint(X4,X1)) ),
inference(split_conjunct,[status(thm)],[406]) ).
fof(436,plain,
! [X15,X16,X17] :
( ~ s_m(X15,X16,X17)
| equal(X17,s(X16,X15)) ),
inference(variable_rename,[status(thm)],[224]) ).
cnf(437,plain,
( X1 = s(X2,X3)
| ~ s_m(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[436]) ).
fof(438,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(439,plain,
( perp(X1,X2,X3,reflect(X1,X2,X3))
| X3 = reflect(X1,X2,X3)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[438]) ).
cnf(440,plain,
( s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3)))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[438]) ).
fof(445,plain,
! [X15,X16,X17] : s_e(X15,X16,s(X17,X15),s(X17,X16)),
inference(variable_rename,[status(thm)],[31]) ).
cnf(446,plain,
s_e(X1,X2,s(X3,X1),s(X3,X2)),
inference(split_conjunct,[status(thm)],[445]) ).
fof(479,plain,
! [X18,X19,X20,X21,X22] :
( equal(X18,X19)
| equal(X20,X21)
| ~ s_col(X18,X19,X20)
| ~ s_col(X18,X19,X21)
| ~ s_col(X20,X21,X22)
| s_col(X18,X19,X22) ),
inference(variable_rename,[status(thm)],[233]) ).
cnf(480,plain,
( s_col(X1,X2,X3)
| X4 = X5
| X1 = X2
| ~ s_col(X4,X5,X3)
| ~ s_col(X1,X2,X5)
| ~ s_col(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[479]) ).
fof(513,plain,
! [X12,X13] :
( equal(s(X12,X13),X13)
| ~ equal(X13,X12) ),
inference(variable_rename,[status(thm)],[57]) ).
cnf(514,plain,
( s(X2,X1) = X1
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[513]) ).
fof(577,plain,
! [X14,X15,X16] :
( ~ equal(s(X14,s(X15,X16)),s(X15,s(X14,X16)))
| equal(X14,X15) ),
inference(variable_rename,[status(thm)],[79]) ).
cnf(578,plain,
( X1 = X2
| s(X1,s(X2,X3)) != s(X2,s(X1,X3)) ),
inference(split_conjunct,[status(thm)],[577]) ).
fof(597,plain,
! [X15,X16,X17] :
( ~ equal(s(X15,X16),s(X15,X17))
| equal(X16,X17) ),
inference(variable_rename,[status(thm)],[89]) ).
cnf(598,plain,
( X1 = X2
| s(X3,X1) != s(X3,X2) ),
inference(split_conjunct,[status(thm)],[597]) ).
fof(610,plain,
! [X21,X22,X23] :
( ~ s_m(X21,X22,X23)
| s_m(X23,X22,X21) ),
inference(variable_rename,[status(thm)],[277]) ).
cnf(611,plain,
( s_m(X1,X2,X3)
| ~ s_m(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[610]) ).
fof(612,plain,
! [X12,X13] : equal(s(X12,s(X12,X13)),X13),
inference(variable_rename,[status(thm)],[96]) ).
cnf(613,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[612]) ).
fof(636,plain,
! [X15,X16,X17,X18] :
( ~ perp(X15,X16,X17,X18)
| perp(X15,X16,X18,X17) ),
inference(variable_rename,[status(thm)],[288]) ).
cnf(637,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[636]) ).
fof(640,plain,
! [X14,X15,X16] :
( ( ~ s_col(X14,X15,X16)
| s_t(X14,X15,X16)
| s_t(X15,X16,X14)
| s_t(X16,X14,X15) )
& ( s_col(X14,X15,X16)
| ~ s_t(X14,X15,X16) )
& ( s_col(X14,X15,X16)
| ~ s_t(X15,X16,X14) )
& ( s_col(X14,X15,X16)
| ~ s_t(X16,X14,X15) ) ),
inference(variable_rename,[status(thm)],[290]) ).
cnf(641,plain,
( s_col(X2,X3,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[640]) ).
cnf(643,plain,
( s_col(X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[640]) ).
fof(661,plain,
! [X15,X16,X17,X18] :
( ~ perp(X15,X16,X17,X18)
| perp(X16,X15,X17,X18) ),
inference(variable_rename,[status(thm)],[297]) ).
cnf(662,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[661]) ).
fof(665,plain,
! [X30,X31] : s_t(X30,X30,X31),
inference(variable_rename,[status(thm)],[121]) ).
cnf(666,plain,
s_t(X1,X1,X2),
inference(split_conjunct,[status(thm)],[665]) ).
fof(669,plain,
! [X14,X15] : s_t(X14,X15,X15),
inference(variable_rename,[status(thm)],[123]) ).
cnf(670,plain,
s_t(X1,X2,X2),
inference(split_conjunct,[status(thm)],[669]) ).
fof(679,negated_conjecture,
? [X10,X13,X11,X21] :
( ~ equal(X10,X13)
& equal(reflect(X10,X13,X11),X21)
& ~ equal(reflect(X10,X13,X21),X11) ),
inference(fof_nnf,[status(thm)],[202]) ).
fof(680,negated_conjecture,
? [X22,X23,X24,X25] :
( ~ equal(X22,X23)
& equal(reflect(X22,X23,X24),X25)
& ~ equal(reflect(X22,X23,X25),X24) ),
inference(variable_rename,[status(thm)],[679]) ).
fof(681,negated_conjecture,
( ~ equal(esk1_0,esk2_0)
& equal(reflect(esk1_0,esk2_0,esk3_0),esk4_0)
& ~ equal(reflect(esk1_0,esk2_0,esk4_0),esk3_0) ),
inference(skolemize,[status(esa)],[680]) ).
cnf(682,negated_conjecture,
reflect(esk1_0,esk2_0,esk4_0) != esk3_0,
inference(split_conjunct,[status(thm)],[681]) ).
cnf(683,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
inference(split_conjunct,[status(thm)],[681]) ).
cnf(684,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[681]) ).
fof(693,plain,
! [X18,X19,X20] : le(X18,X18,X19,X20),
inference(variable_rename,[status(thm)],[129]) ).
cnf(694,plain,
le(X1,X1,X2,X3),
inference(split_conjunct,[status(thm)],[693]) ).
fof(697,plain,
! [X21,X22] :
( ~ s_m(X21,X22,X21)
| equal(X22,X21) ),
inference(variable_rename,[status(thm)],[303]) ).
cnf(698,plain,
( X1 = X2
| ~ s_m(X2,X1,X2) ),
inference(split_conjunct,[status(thm)],[697]) ).
fof(705,plain,
! [X14,X15,X16] :
( ~ s_col(X14,X15,X16)
| s_col(X15,X14,X16) ),
inference(variable_rename,[status(thm)],[307]) ).
cnf(706,plain,
( s_col(X1,X2,X3)
| ~ s_col(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[705]) ).
fof(713,plain,
! [X46,X47,X48,X49,X50,X51] :
( ~ le(X46,X47,X48,X49)
| ~ le(X48,X49,X50,X51)
| le(X46,X47,X50,X51) ),
inference(variable_rename,[status(thm)],[311]) ).
cnf(714,plain,
( le(X1,X2,X3,X4)
| ~ le(X5,X6,X3,X4)
| ~ le(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[713]) ).
fof(748,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)],[327]) ).
cnf(749,plain,
( s_m(X1,X2,X3)
| ~ s_e(X2,X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[748]) ).
cnf(751,plain,
( s_t(X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[748]) ).
fof(768,plain,
! [X18,X19,X20,X21,X22] :
( ( ~ le(X18,X19,X20,X21)
| s_t(X20,insert(X18,X19,X20,X21),X21) )
& ( ~ le(X18,X19,X20,X21)
| s_e(X18,X19,X20,insert(X18,X19,X20,X21)) )
& ( ~ s_t(X20,X22,X21)
| ~ s_e(X18,X19,X20,X22)
| le(X18,X19,X20,X21) ) ),
inference(variable_rename,[status(thm)],[334]) ).
cnf(769,plain,
( le(X1,X2,X3,X4)
| ~ s_e(X1,X2,X3,X5)
| ~ s_t(X3,X5,X4) ),
inference(split_conjunct,[status(thm)],[768]) ).
cnf(771,plain,
( s_t(X1,insert(X2,X3,X1,X4),X4)
| ~ le(X2,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[768]) ).
fof(783,plain,
! [X15,X16,X17,X18] :
( ~ s_m(X15,X16,X17)
| ~ s_m(X15,X18,X17)
| equal(X16,X18) ),
inference(variable_rename,[status(thm)],[338]) ).
cnf(784,plain,
( X1 = X2
| ~ s_m(X3,X2,X4)
| ~ s_m(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[783]) ).
fof(838,plain,
! [X41,X42,X43,X44] : equal(insert(X41,X42,X43,X44),ext(ext(X44,X43,alpha,gamma),X43,X41,X42)),
inference(variable_rename,[status(thm)],[193]) ).
cnf(839,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[838]) ).
cnf(858,plain,
( s_t(X1,ext(ext(X4,X1,alpha,gamma),X1,X2,X3),X4)
| ~ le(X2,X3,X1,X4) ),
inference(rw,[status(thm)],[771,839,theory(equality)]),
[unfolding] ).
cnf(863,plain,
s(X1,X1) = X1,
inference(er,[status(thm)],[514,theory(equality)]) ).
cnf(866,plain,
( s(X1,X2) = X3
| X2 != s(X1,X3) ),
inference(spm,[status(thm)],[598,613,theory(equality)]) ).
cnf(876,plain,
midpoint(X1,X1) = X1,
inference(spm,[status(thm)],[698,388,theory(equality)]) ).
cnf(882,plain,
s(midpoint(X1,X2),X1) = X2,
inference(spm,[status(thm)],[437,388,theory(equality)]) ).
cnf(889,plain,
( X1 = X2
| s(X1,X3) != s(X2,s(X1,s(X2,X3))) ),
inference(spm,[status(thm)],[578,613,theory(equality)]) ).
cnf(899,plain,
s_t(X1,midpoint(X1,X2),X2),
inference(spm,[status(thm)],[751,388,theory(equality)]) ).
cnf(938,plain,
s_m(X1,midpoint(X2,X1),X2),
inference(spm,[status(thm)],[611,388,theory(equality)]) ).
cnf(943,negated_conjecture,
( esk1_0 = esk2_0
| s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[440,683,theory(equality)]) ).
cnf(947,plain,
( s_col(X1,X2,midpoint(X3,reflect(X2,X1,X3)))
| X2 = X1 ),
inference(spm,[status(thm)],[706,440,theory(equality)]) ).
cnf(949,negated_conjecture,
s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)),
inference(sr,[status(thm)],[943,684,theory(equality)]) ).
cnf(959,plain,
( X1 = midpoint(X2,X3)
| ~ s_m(X2,X1,X3) ),
inference(spm,[status(thm)],[784,388,theory(equality)]) ).
cnf(1017,negated_conjecture,
( esk4_0 = esk3_0
| esk1_0 = esk2_0
| perp(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[439,683,theory(equality)]) ).
cnf(1019,plain,
( perp(X1,X2,X3,reflect(X2,X1,X3))
| reflect(X2,X1,X3) = X3
| X2 = X1 ),
inference(spm,[status(thm)],[662,439,theory(equality)]) ).
cnf(1021,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[1017,684,theory(equality)]) ).
cnf(1047,plain,
( reflect(X1,X2,X3) = X3
| X1 = X2
| ~ s_col(X1,X2,midpoint(X3,X3)) ),
inference(er,[status(thm)],[407,theory(equality)]) ).
cnf(1200,plain,
( s_m(ext(X1,X2,X2,X3),X2,X3)
| ~ s_t(ext(X1,X2,X2,X3),X2,X3) ),
inference(spm,[status(thm)],[749,367,theory(equality)]) ).
cnf(1269,plain,
( le(X1,X2,s(X3,X1),X4)
| ~ s_t(s(X3,X1),s(X3,X2),X4) ),
inference(spm,[status(thm)],[769,446,theory(equality)]) ).
cnf(1324,plain,
( le(X1,X2,X3,X4)
| ~ le(X1,X2,X5,X5) ),
inference(spm,[status(thm)],[714,694,theory(equality)]) ).
cnf(1381,plain,
( X1 = ext(ext(X1,X1,alpha,gamma),X1,X2,X3)
| ~ le(X2,X3,X1,X1) ),
inference(spm,[status(thm)],[373,858,theory(equality)]) ).
cnf(2219,plain,
( s(midpoint(X1,X2),X3) = X1
| X3 != X2 ),
inference(spm,[status(thm)],[866,882,theory(equality)]) ).
cnf(2225,plain,
s(midpoint(X1,X2),X2) = X1,
inference(er,[status(thm)],[2219,theory(equality)]) ).
cnf(2370,plain,
s_col(midpoint(X1,X2),X2,X1),
inference(spm,[status(thm)],[641,899,theory(equality)]) ).
cnf(2371,plain,
s_col(X1,midpoint(X1,X2),X2),
inference(spm,[status(thm)],[643,899,theory(equality)]) ).
cnf(2447,negated_conjecture,
s_col(esk2_0,esk1_0,midpoint(esk3_0,esk4_0)),
inference(spm,[status(thm)],[706,949,theory(equality)]) ).
cnf(2547,plain,
( X1 = midpoint(X2,X3)
| ~ s_m(X3,X1,X2) ),
inference(spm,[status(thm)],[784,938,theory(equality)]) ).
cnf(2556,plain,
( s(X1,X2) = X1
| s(X1,s(X1,X2)) != s(s(X1,X2),X2) ),
inference(spm,[status(thm)],[889,863,theory(equality)]) ).
cnf(2561,plain,
( s(X1,X2) = X1
| X2 != s(s(X1,X2),X2) ),
inference(rw,[status(thm)],[2556,613,theory(equality)]) ).
cnf(2917,plain,
( X1 = X2
| midpoint(X3,X4) = X4
| s_col(X1,X2,X3)
| ~ s_col(X1,X2,X4)
| ~ s_col(X1,X2,midpoint(X3,X4)) ),
inference(spm,[status(thm)],[480,2370,theory(equality)]) ).
cnf(2937,plain,
( X1 = X2
| X3 = midpoint(X3,X4)
| s_col(X1,X2,X4)
| ~ s_col(X1,X2,midpoint(X3,X4))
| ~ s_col(X1,X2,X3) ),
inference(spm,[status(thm)],[480,2371,theory(equality)]) ).
cnf(3442,plain,
( reflect(X1,X2,X3) = reflect(X2,X1,X3)
| X1 = X2
| ~ perp(X1,X2,X3,reflect(X2,X1,X3)) ),
inference(spm,[status(thm)],[408,947,theory(equality)]) ).
cnf(3974,plain,
midpoint(X1,X2) = midpoint(X2,X1),
inference(spm,[status(thm)],[959,938,theory(equality)]) ).
cnf(4007,plain,
( reflect(X1,X2,X3) = X4
| X1 = X2
| ~ s_col(X1,X2,midpoint(X4,X3))
| ~ perp(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[408,3974,theory(equality)]) ).
cnf(6782,plain,
( reflect(X1,X2,X3) = X3
| X1 = X2
| ~ s_col(X1,X2,X3) ),
inference(rw,[status(thm)],[1047,876,theory(equality)]) ).
cnf(6783,negated_conjecture,
( esk3_0 = esk4_0
| esk1_0 = esk2_0
| ~ s_col(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[683,6782,theory(equality)]) ).
cnf(6784,negated_conjecture,
( esk1_0 = esk2_0
| esk4_0 != esk3_0
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[682,6782,theory(equality)]) ).
cnf(6796,negated_conjecture,
( esk4_0 = esk3_0
| ~ s_col(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[6783,684,theory(equality)]) ).
cnf(6797,negated_conjecture,
( esk4_0 != esk3_0
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(sr,[status(thm)],[6784,684,theory(equality)]) ).
cnf(12681,plain,
( X2 = midpoint(X1,X2)
| s(X2,X1) != X1 ),
inference(spm,[status(thm)],[2561,882,theory(equality)]) ).
cnf(21244,plain,
le(X1,X2,s(X3,X1),s(X3,X2)),
inference(spm,[status(thm)],[1269,670,theory(equality)]) ).
cnf(21643,plain,
le(X1,X2,s(X2,X1),X2),
inference(spm,[status(thm)],[21244,863,theory(equality)]) ).
cnf(21976,plain,
le(X1,midpoint(X1,X2),X2,midpoint(X1,X2)),
inference(spm,[status(thm)],[21643,882,theory(equality)]) ).
cnf(26608,plain,
( le(X1,X2,X2,X2)
| s(X2,X1) != X1 ),
inference(spm,[status(thm)],[21976,12681,theory(equality)]) ).
cnf(29625,plain,
( le(X1,X2,X3,X4)
| s(X2,X1) != X1 ),
inference(spm,[status(thm)],[1324,26608,theory(equality)]) ).
cnf(30000,plain,
( s_m(X1,X1,X2)
| ~ s_t(X1,X1,X2)
| ~ le(X1,X2,X1,X1) ),
inference(spm,[status(thm)],[1200,1381,theory(equality)]) ).
cnf(30053,plain,
( s_m(X1,X1,X2)
| $false
| ~ le(X1,X2,X1,X1) ),
inference(rw,[status(thm)],[30000,666,theory(equality)]) ).
cnf(30054,plain,
( s_m(X1,X1,X2)
| ~ le(X1,X2,X1,X1) ),
inference(cn,[status(thm)],[30053,theory(equality)]) ).
cnf(32360,plain,
( s_m(X1,X1,X2)
| s(X2,X1) != X1 ),
inference(spm,[status(thm)],[30054,29625,theory(equality)]) ).
cnf(32536,plain,
( X1 = midpoint(X2,X1)
| s(X2,X1) != X1 ),
inference(spm,[status(thm)],[2547,32360,theory(equality)]) ).
cnf(32894,negated_conjecture,
( s_col(esk1_0,esk2_0,esk4_0)
| s(esk3_0,esk4_0) != esk4_0 ),
inference(spm,[status(thm)],[949,32536,theory(equality)]) ).
cnf(210786,negated_conjecture,
( midpoint(esk3_0,esk4_0) = esk4_0
| esk1_0 = esk2_0
| s_col(esk1_0,esk2_0,esk3_0)
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[2917,949,theory(equality)]) ).
cnf(211192,negated_conjecture,
( midpoint(esk3_0,esk4_0) = esk4_0
| s_col(esk1_0,esk2_0,esk3_0)
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(sr,[status(thm)],[210786,684,theory(equality)]) ).
cnf(214379,negated_conjecture,
( midpoint(esk3_0,esk4_0) = esk3_0
| esk1_0 = esk2_0
| s_col(esk1_0,esk2_0,esk4_0)
| ~ s_col(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[2937,949,theory(equality)]) ).
cnf(214380,negated_conjecture,
( midpoint(esk3_0,esk4_0) = esk3_0
| esk2_0 = esk1_0
| s_col(esk2_0,esk1_0,esk4_0)
| ~ s_col(esk2_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[2937,2447,theory(equality)]) ).
cnf(214772,negated_conjecture,
( midpoint(esk3_0,esk4_0) = esk3_0
| s_col(esk1_0,esk2_0,esk4_0)
| ~ s_col(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[214379,684,theory(equality)]) ).
cnf(214773,negated_conjecture,
( midpoint(esk3_0,esk4_0) = esk3_0
| s_col(esk2_0,esk1_0,esk4_0)
| ~ s_col(esk2_0,esk1_0,esk3_0) ),
inference(sr,[status(thm)],[214380,684,theory(equality)]) ).
cnf(277644,plain,
( reflect(X1,X2,X3) = reflect(X2,X1,X3)
| X1 = X2
| reflect(X2,X1,X3) = X3 ),
inference(spm,[status(thm)],[3442,1019,theory(equality)]) ).
cnf(277667,plain,
( reflect(X7,X6,X8) = X8
| X6 = X7
| reflect(X6,X7,X8) != X8 ),
inference(ef,[status(thm)],[277644,theory(equality)]) ).
cnf(298654,negated_conjecture,
( s(esk4_0,esk4_0) = esk3_0
| s_col(esk1_0,esk2_0,esk3_0)
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[2225,211192,theory(equality)]) ).
cnf(299441,negated_conjecture,
( esk4_0 = esk3_0
| s_col(esk1_0,esk2_0,esk3_0)
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(rw,[status(thm)],[298654,863,theory(equality)]) ).
cnf(299744,negated_conjecture,
( esk4_0 = esk3_0
| ~ s_col(esk1_0,esk2_0,esk4_0) ),
inference(csr,[status(thm)],[299441,6796]) ).
cnf(299745,negated_conjecture,
~ s_col(esk1_0,esk2_0,esk4_0),
inference(csr,[status(thm)],[299744,6797]) ).
cnf(304281,negated_conjecture,
( midpoint(esk3_0,esk4_0) = esk3_0
| ~ s_col(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[214772,299745,theory(equality)]) ).
cnf(304285,negated_conjecture,
( s(esk3_0,esk4_0) = esk3_0
| ~ s_col(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[2225,304281,theory(equality)]) ).
cnf(306235,negated_conjecture,
( s_col(esk1_0,esk2_0,esk4_0)
| esk3_0 != esk4_0
| ~ s_col(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[32894,304285,theory(equality)]) ).
cnf(306867,negated_conjecture,
( esk4_0 != esk3_0
| ~ s_col(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[306235,299745,theory(equality)]) ).
cnf(306929,negated_conjecture,
~ s_col(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[306867,6796]) ).
cnf(310235,negated_conjecture,
( s_col(esk1_0,esk2_0,esk3_0)
| s_col(esk2_0,esk1_0,esk4_0)
| ~ s_col(esk2_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[949,214773,theory(equality)]) ).
cnf(311032,negated_conjecture,
( s_col(esk2_0,esk1_0,esk4_0)
| ~ s_col(esk2_0,esk1_0,esk3_0) ),
inference(sr,[status(thm)],[310235,306929,theory(equality)]) ).
cnf(311355,negated_conjecture,
( s_col(esk1_0,esk2_0,esk4_0)
| ~ s_col(esk2_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[706,311032,theory(equality)]) ).
cnf(311377,negated_conjecture,
~ s_col(esk2_0,esk1_0,esk3_0),
inference(sr,[status(thm)],[311355,299745,theory(equality)]) ).
cnf(339433,negated_conjecture,
( reflect(esk2_0,esk1_0,esk3_0) = esk3_0
| esk1_0 = esk2_0
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[277667,683,theory(equality)]) ).
cnf(339450,negated_conjecture,
( reflect(esk2_0,esk1_0,esk3_0) = esk3_0
| esk4_0 != esk3_0 ),
inference(sr,[status(thm)],[339433,684,theory(equality)]) ).
cnf(339452,negated_conjecture,
( esk2_0 = esk1_0
| s_col(esk2_0,esk1_0,midpoint(esk3_0,esk3_0))
| esk4_0 != esk3_0 ),
inference(spm,[status(thm)],[440,339450,theory(equality)]) ).
cnf(339493,negated_conjecture,
( esk2_0 = esk1_0
| s_col(esk2_0,esk1_0,esk3_0)
| esk4_0 != esk3_0 ),
inference(rw,[status(thm)],[339452,876,theory(equality)]) ).
cnf(339494,negated_conjecture,
( s_col(esk2_0,esk1_0,esk3_0)
| esk4_0 != esk3_0 ),
inference(sr,[status(thm)],[339493,684,theory(equality)]) ).
cnf(339495,negated_conjecture,
esk4_0 != esk3_0,
inference(sr,[status(thm)],[339494,311377,theory(equality)]) ).
cnf(339608,negated_conjecture,
perp(esk1_0,esk2_0,esk3_0,esk4_0),
inference(sr,[status(thm)],[1021,339495,theory(equality)]) ).
cnf(339626,negated_conjecture,
perp(esk1_0,esk2_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[637,339608,theory(equality)]) ).
cnf(350252,negated_conjecture,
( reflect(esk1_0,esk2_0,esk4_0) = esk3_0
| esk1_0 = esk2_0
| ~ perp(esk1_0,esk2_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[4007,949,theory(equality)]) ).
cnf(350738,negated_conjecture,
( reflect(esk1_0,esk2_0,esk4_0) = esk3_0
| esk1_0 = esk2_0
| $false ),
inference(rw,[status(thm)],[350252,339626,theory(equality)]) ).
cnf(350739,negated_conjecture,
( reflect(esk1_0,esk2_0,esk4_0) = esk3_0
| esk1_0 = esk2_0 ),
inference(cn,[status(thm)],[350738,theory(equality)]) ).
cnf(350740,negated_conjecture,
esk2_0 = esk1_0,
inference(sr,[status(thm)],[350739,682,theory(equality)]) ).
cnf(350741,negated_conjecture,
$false,
inference(sr,[status(thm)],[350740,684,theory(equality)]) ).
cnf(350742,negated_conjecture,
$false,
350741,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO523+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.05 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n043.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.75MB
% 0.03/0.24 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 20 05:40:17 CST 2017
% 0.03/0.24 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for [GEO011+0.ax]
% 10.47/10.76 -running prover on /export/starexec/sandbox2/tmp/tmpm9DCz1/sel_theBenchmark.p_1 with time limit 29
% 10.47/10.76 -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/tmpm9DCz1/sel_theBenchmark.p_1']
% 10.47/10.76 -prover status Theorem
% 10.47/10.76 Problem theBenchmark.p solved in phase 0.
% 10.47/10.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.47/10.76 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.47/10.76 Solved 1 out of 1.
% 10.47/10.76 # Problem is unsatisfiable (or provable), constructing proof object
% 10.47/10.76 # SZS status Theorem
% 10.47/10.76 # SZS output start CNFRefutation.
% See solution above
% 10.47/10.77 # SZS output end CNFRefutation
%------------------------------------------------------------------------------