TSTP Solution File: GEO286+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO286+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:59:04 EDT 2024
% Result : Theorem 65.23s 8.78s
% Output : CNFRefutation 65.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 26 unt; 0 def)
% Number of atoms : 320 ( 60 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 434 ( 170 ~; 188 |; 73 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-7 aty)
% Number of variables : 96 ( 0 sgn 29 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))',axiom,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( ron(X55,X51)
& ~ ron(X55,X49)
& ~ rinside(X55,X49)
& X55 = X56
& rpoint(X56)
& ron(X53,X51)
& rinside(X53,X49)
& X53 = X54
& rpoint(X54)
& X51 = X52
& rline(X52)
& X49 = X50
& rcircle(X50) )
=> ? [X57] :
( rR(X57,X53,X55)
& ron(X57,X49)
& ron(X57,X51)
& rpoint(X57) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof('and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))',axiom,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& vd1127 != vd1129
& vd1123 != vd1125
& vd1129 = vd1130
& rpoint(vd1130)
& vd1127 = vd1128
& rpoint(vd1128)
& vd1125 = vd1126
& rpoint(vd1126)
& vd1123 = vd1124
& rpoint(vd1124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X359,X360] :
( rcenter(X359,X360)
=> rinside(X359,X360) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))',axiom,
( ron(vd1127,vd1152)
& rcenter(vd1123,vd1152)
& rcircle(vd1152)
& ron(vd1125,vd1151)
& ron(vd1123,vd1151) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))') ).
fof('neg(neg(260))',axiom,
~ rinside(vd1125,vd1152),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(260))') ).
fof('neg(neg(comma_conjunct2(260)))',axiom,
~ ron(vd1125,vd1152),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(260)))') ).
fof('qe(261)',conjecture,
? [X1] :
( rR(X1,vd1123,vd1125)
& ron(X1,vd1152)
& ron(X1,vd1151)
& rpoint(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(261)') ).
fof('pred(259, 0)',axiom,
rline(vd1151),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(259, 0)') ).
fof(c_0_8,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( ron(X55,X51)
& ~ ron(X55,X49)
& ~ rinside(X55,X49)
& X55 = X56
& rpoint(X56)
& ron(X53,X51)
& rinside(X53,X49)
& X53 = X54
& rpoint(X54)
& X51 = X52
& rline(X52)
& X49 = X50
& rcircle(X50) )
=> ? [X57] :
( rR(X57,X53,X55)
& ron(X57,X49)
& ron(X57,X51)
& rpoint(X57) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))']) ).
fof(c_0_9,plain,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& vd1127 != vd1129
& vd1123 != vd1125
& vd1129 = vd1130
& rpoint(vd1130)
& vd1127 = vd1128
& rpoint(vd1128)
& vd1125 = vd1126
& rpoint(vd1126)
& vd1123 = vd1124
& rpoint(vd1124) ),
inference(fof_simplification,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
fof(c_0_10,plain,
! [X786,X787,X788,X789,X790,X791,X792,X793] :
( ( rR(esk4_7(X786,X787,X788,X789,X790,X791,X792),X790,X792)
| ~ ron(X792,X788)
| ron(X792,X786)
| rinside(X792,X786)
| X792 != X793
| ~ rpoint(X793)
| ~ ron(X790,X788)
| ~ rinside(X790,X786)
| X790 != X791
| ~ rpoint(X791)
| X788 != X789
| ~ rline(X789)
| X786 != X787
| ~ rcircle(X787) )
& ( ron(esk4_7(X786,X787,X788,X789,X790,X791,X792),X786)
| ~ ron(X792,X788)
| ron(X792,X786)
| rinside(X792,X786)
| X792 != X793
| ~ rpoint(X793)
| ~ ron(X790,X788)
| ~ rinside(X790,X786)
| X790 != X791
| ~ rpoint(X791)
| X788 != X789
| ~ rline(X789)
| X786 != X787
| ~ rcircle(X787) )
& ( ron(esk4_7(X786,X787,X788,X789,X790,X791,X792),X788)
| ~ ron(X792,X788)
| ron(X792,X786)
| rinside(X792,X786)
| X792 != X793
| ~ rpoint(X793)
| ~ ron(X790,X788)
| ~ rinside(X790,X786)
| X790 != X791
| ~ rpoint(X791)
| X788 != X789
| ~ rline(X789)
| X786 != X787
| ~ rcircle(X787) )
& ( rpoint(esk4_7(X786,X787,X788,X789,X790,X791,X792))
| ~ ron(X792,X788)
| ron(X792,X786)
| rinside(X792,X786)
| X792 != X793
| ~ rpoint(X793)
| ~ ron(X790,X788)
| ~ rinside(X790,X786)
| X790 != X791
| ~ rpoint(X791)
| X788 != X789
| ~ rline(X789)
| X786 != X787
| ~ rcircle(X787) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).
fof(c_0_11,plain,
! [X1102,X1103] :
( ~ rcenter(X1102,X1103)
| rinside(X1102,X1103) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])])]) ).
fof(c_0_12,plain,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& vd1127 != vd1129
& vd1123 != vd1125
& vd1129 = vd1130
& rpoint(vd1130)
& vd1127 = vd1128
& rpoint(vd1128)
& vd1125 = vd1126
& rpoint(vd1126)
& vd1123 = vd1124
& rpoint(vd1124) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ron(esk4_7(X1,X2,X3,X4,X5,X6,X7),X1)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
rcenter(vd1123,vd1152),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_16,plain,
rpoint(vd1124),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
vd1123 = vd1124,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( rpoint(esk4_7(X1,X2,X3,X4,X5,X6,X7))
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( ron(esk4_7(X1,X2,X3,X4,X5,X6,X7),X3)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( rinside(X1,X2)
| ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X2)
| ron(X1,X2)
| ~ rline(X3)
| ~ rcircle(X2)
| ~ rinside(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X1,X3)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_21,plain,
rinside(vd1123,vd1152),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
rcircle(vd1152),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_23,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_24,plain,
~ rinside(vd1125,vd1152),
inference(fof_simplification,[status(thm)],['neg(neg(260))']) ).
fof(c_0_25,plain,
~ ron(vd1125,vd1152),
inference(fof_simplification,[status(thm)],['neg(neg(comma_conjunct2(260)))']) ).
cnf(c_0_26,plain,
( rinside(X1,X2)
| rpoint(esk4_7(X2,X2,X3,X3,X4,X4,X1))
| ron(X1,X2)
| ~ rline(X3)
| ~ rcircle(X2)
| ~ rinside(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X1,X3)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_27,plain,
( rinside(X1,X2)
| ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X3)
| ron(X1,X2)
| ~ rline(X3)
| ~ rcircle(X2)
| ~ rinside(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X1,X3)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_28,plain,
( rR(esk4_7(X1,X2,X3,X4,X5,X6,X7),X5,X7)
| ron(X7,X1)
| rinside(X7,X1)
| ~ ron(X7,X3)
| X7 != X8
| ~ rpoint(X8)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| X5 != X6
| ~ rpoint(X6)
| X3 != X4
| ~ rline(X4)
| X1 != X2
| ~ rcircle(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_29,negated_conjecture,
~ ? [X1] :
( rR(X1,vd1123,vd1125)
& ron(X1,vd1152)
& ron(X1,vd1151)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(261)']) ).
cnf(c_0_30,plain,
( rinside(X1,vd1152)
| ron(esk4_7(vd1152,vd1152,X2,X2,vd1123,vd1123,X1),vd1152)
| ron(X1,vd1152)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1123,X2)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_31,plain,
ron(vd1123,vd1151),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_32,plain,
rline(vd1151),
inference(split_conjunct,[status(thm)],['pred(259, 0)']) ).
cnf(c_0_33,plain,
rpoint(vd1126),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,plain,
vd1125 = vd1126,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_35,plain,
~ rinside(vd1125,vd1152),
inference(fof_nnf,[status(thm)],[c_0_24]) ).
fof(c_0_36,plain,
~ ron(vd1125,vd1152),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( rinside(X1,vd1152)
| rpoint(esk4_7(vd1152,vd1152,X2,X2,vd1123,vd1123,X1))
| ron(X1,vd1152)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1123,X2)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_38,plain,
( rinside(X1,vd1152)
| ron(esk4_7(vd1152,vd1152,X2,X2,vd1123,vd1123,X1),X2)
| ron(X1,vd1152)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1123,X2)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_39,plain,
( rinside(X1,X2)
| ron(X1,X2)
| rR(esk4_7(X2,X2,X3,X3,X4,X4,X1),X4,X1)
| ~ rline(X3)
| ~ rcircle(X2)
| ~ rinside(X4,X2)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X1,X3)
| ~ ron(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])])])]) ).
fof(c_0_40,negated_conjecture,
! [X738] :
( ~ rR(X738,vd1123,vd1125)
| ~ ron(X738,vd1152)
| ~ ron(X738,vd1151)
| ~ rpoint(X738) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_41,plain,
( rinside(X1,vd1152)
| ron(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,X1),vd1152)
| ron(X1,vd1152)
| ~ rpoint(X1)
| ~ ron(X1,vd1151) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_42,plain,
ron(vd1125,vd1151),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))']) ).
cnf(c_0_43,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_44,plain,
~ rinside(vd1125,vd1152),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
~ ron(vd1125,vd1152),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
( rinside(X1,vd1152)
| rpoint(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,X1))
| ron(X1,vd1152)
| ~ rpoint(X1)
| ~ ron(X1,vd1151) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_32])]) ).
cnf(c_0_47,plain,
( rinside(X1,vd1152)
| ron(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,X1),vd1151)
| ron(X1,vd1152)
| ~ rpoint(X1)
| ~ ron(X1,vd1151) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_31]),c_0_32])]) ).
cnf(c_0_48,plain,
( rinside(X1,vd1152)
| ron(X1,vd1152)
| rR(esk4_7(vd1152,vd1152,X2,X2,vd1123,vd1123,X1),vd1123,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1123,X2)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_49,negated_conjecture,
( ~ rR(X1,vd1123,vd1125)
| ~ ron(X1,vd1152)
| ~ ron(X1,vd1151)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
ron(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125),vd1152),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]),c_0_44]),c_0_45]) ).
cnf(c_0_51,plain,
rpoint(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_42]),c_0_43])]),c_0_44]),c_0_45]) ).
cnf(c_0_52,plain,
ron(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125),vd1151),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_42]),c_0_43])]),c_0_44]),c_0_45]) ).
cnf(c_0_53,plain,
( rinside(X1,vd1152)
| ron(X1,vd1152)
| rR(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,X1),vd1123,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1151) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_31]),c_0_32])]) ).
cnf(c_0_54,negated_conjecture,
~ rR(esk4_7(vd1152,vd1152,vd1151,vd1151,vd1123,vd1123,vd1125),vd1123,vd1125),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_55,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_42]),c_0_43])]),c_0_44]),c_0_45]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO286+1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 14:14:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.23/8.78 # Version: 3.1.0
% 65.23/8.78 # Preprocessing class: FSLSSMSMSSSNFFN.
% 65.23/8.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.23/8.78 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 65.23/8.78 # Starting new_bool_3 with 300s (1) cores
% 65.23/8.78 # Starting new_bool_1 with 300s (1) cores
% 65.23/8.78 # Starting sh5l with 300s (1) cores
% 65.23/8.78 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 11909 completed with status 0
% 65.23/8.78 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 65.23/8.78 # Preprocessing class: FSLSSMSMSSSNFFN.
% 65.23/8.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.23/8.78 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 65.23/8.78 # No SInE strategy applied
% 65.23/8.78 # Search class: FGHSF-FSLM33-SFFFFFNN
% 65.23/8.78 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 65.23/8.78 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 65.23/8.78 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 65.23/8.78 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 65.23/8.78 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 65.23/8.78 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 65.23/8.78 # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 11916 completed with status 0
% 65.23/8.78 # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 65.23/8.78 # Preprocessing class: FSLSSMSMSSSNFFN.
% 65.23/8.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.23/8.78 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 65.23/8.78 # No SInE strategy applied
% 65.23/8.78 # Search class: FGHSF-FSLM33-SFFFFFNN
% 65.23/8.78 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 65.23/8.78 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 65.23/8.78 # Preprocessing time : 0.014 s
% 65.23/8.78 # Presaturation interreduction done
% 65.23/8.78
% 65.23/8.78 # Proof found!
% 65.23/8.78 # SZS status Theorem
% 65.23/8.78 # SZS output start CNFRefutation
% See solution above
% 65.23/8.78 # Parsed axioms : 135
% 65.23/8.78 # Removed by relevancy pruning/SinE : 0
% 65.23/8.78 # Initial clauses : 303
% 65.23/8.78 # Removed in clause preprocessing : 2
% 65.23/8.78 # Initial clauses in saturation : 301
% 65.23/8.78 # Processed clauses : 13020
% 65.23/8.78 # ...of these trivial : 23
% 65.23/8.78 # ...subsumed : 9044
% 65.23/8.78 # ...remaining for further processing : 3953
% 65.23/8.78 # Other redundant clauses eliminated : 1100
% 65.23/8.78 # Clauses deleted for lack of memory : 0
% 65.23/8.78 # Backward-subsumed : 115
% 65.23/8.78 # Backward-rewritten : 23
% 65.23/8.78 # Generated clauses : 110372
% 65.23/8.78 # ...of the previous two non-redundant : 107863
% 65.23/8.78 # ...aggressively subsumed : 0
% 65.23/8.78 # Contextual simplify-reflections : 1066
% 65.23/8.78 # Paramodulations : 110058
% 65.23/8.78 # Factorizations : 28
% 65.23/8.78 # NegExts : 0
% 65.23/8.78 # Equation resolutions : 1149
% 65.23/8.78 # Disequality decompositions : 0
% 65.23/8.78 # Total rewrite steps : 168226
% 65.23/8.78 # ...of those cached : 168176
% 65.23/8.78 # Propositional unsat checks : 0
% 65.23/8.78 # Propositional check models : 0
% 65.23/8.78 # Propositional check unsatisfiable : 0
% 65.23/8.78 # Propositional clauses : 0
% 65.23/8.78 # Propositional clauses after purity: 0
% 65.23/8.78 # Propositional unsat core size : 0
% 65.23/8.78 # Propositional preprocessing time : 0.000
% 65.23/8.78 # Propositional encoding time : 0.000
% 65.23/8.78 # Propositional solver time : 0.000
% 65.23/8.78 # Success case prop preproc time : 0.000
% 65.23/8.78 # Success case prop encoding time : 0.000
% 65.23/8.78 # Success case prop solver time : 0.000
% 65.23/8.78 # Current number of processed clauses : 3309
% 65.23/8.78 # Positive orientable unit clauses : 54
% 65.23/8.78 # Positive unorientable unit clauses: 0
% 65.23/8.78 # Negative unit clauses : 116
% 65.23/8.78 # Non-unit-clauses : 3139
% 65.23/8.78 # Current number of unprocessed clauses: 95004
% 65.23/8.78 # ...number of literals in the above : 981563
% 65.23/8.78 # Current number of archived formulas : 0
% 65.23/8.78 # Current number of archived clauses : 407
% 65.23/8.78 # Clause-clause subsumption calls (NU) : 5471634
% 65.23/8.78 # Rec. Clause-clause subsumption calls : 203620
% 65.23/8.78 # Non-unit clause-clause subsumptions : 4582
% 65.23/8.78 # Unit Clause-clause subsumption calls : 20288
% 65.23/8.78 # Rewrite failures with RHS unbound : 0
% 65.23/8.78 # BW rewrite match attempts : 46
% 65.23/8.78 # BW rewrite match successes : 13
% 65.23/8.78 # Condensation attempts : 0
% 65.23/8.78 # Condensation successes : 0
% 65.23/8.78 # Termbank termtop insertions : 4164172
% 65.23/8.78 # Search garbage collected termcells : 14066
% 65.23/8.78
% 65.23/8.78 # -------------------------------------------------
% 65.23/8.78 # User time : 8.049 s
% 65.23/8.78 # System time : 0.122 s
% 65.23/8.78 # Total time : 8.172 s
% 65.23/8.78 # Maximum resident set size: 4440 pages
% 65.23/8.78
% 65.23/8.78 # -------------------------------------------------
% 65.23/8.78 # User time : 39.781 s
% 65.23/8.78 # System time : 0.651 s
% 65.23/8.78 # Total time : 40.432 s
% 65.23/8.78 # Maximum resident set size: 2564 pages
% 65.23/8.78 % E---3.1 exiting
% 65.23/8.78 % E exiting
%------------------------------------------------------------------------------