%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO286+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:05 PM UTC 2026
% Result : Theorem 9.64s 2.08s
% Output : CNFRefutation 9.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 26 unt; 0 def)
% Number of atoms : 288 ( 63 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 396 ( 158 ~; 162 |; 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 : 87 ( 0 sgn 29 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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,
( rpoint(vd1124)
& vd1123 = vd1124
& rpoint(vd1126)
& vd1125 = vd1126
& rpoint(vd1128)
& vd1127 = vd1128
& rpoint(vd1130)
& vd1129 = vd1130
& vd1123 != vd1125
& vd1127 != vd1129
& rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
file('/export/starexec/sandbox/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(61), 0), imp(cond(axiom(61), 0)))',axiom,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( rcircle(X50)
& X49 = X50
& rline(X52)
& X51 = X52
& rpoint(X54)
& X53 = X54
& rinside(X53,X49)
& ron(X53,X51)
& rpoint(X56)
& X55 = X56
& ~ rinside(X55,X49)
& ~ ron(X55,X49)
& ron(X55,X51) )
=> ? [X57] :
( rpoint(X57)
& ron(X57,X51)
& ron(X57,X49)
& rR(X57,X53,X55) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof('qe(261)',conjecture,
? [X1] :
( rpoint(X1)
& ron(X1,vd1151)
& ron(X1,vd1152)
& rR(X1,vd1123,vd1125) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(261)') ).
fof('holds(258, 1150, 0)',axiom,
vd1123 = vd1129,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(258, 1150, 0)') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X359,X360] :
( rcenter(X359,X360)
=> rinside(X359,X360) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('neg(neg(260))',axiom,
~ rinside(vd1125,vd1152),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(260))') ).
fof('neg(neg(comma_conjunct2(260)))',axiom,
~ ron(vd1125,vd1152),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(260)))') ).
fof('pred(259, 0)',axiom,
rline(vd1151),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(259, 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(vd1123,vd1151)
& ron(vd1125,vd1151)
& rcircle(vd1152)
& rcenter(vd1123,vd1152)
& ron(vd1127,vd1152) ),
file('/export/starexec/sandbox/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(c_0_9,plain,
( rpoint(vd1124)
& vd1123 = vd1124
& rpoint(vd1126)
& vd1125 = vd1126
& rpoint(vd1128)
& vd1127 = vd1128
& rpoint(vd1130)
& vd1129 = vd1130
& vd1123 != vd1125
& vd1127 != vd1129
& rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
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,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( rcircle(X50)
& X49 = X50
& rline(X52)
& X51 = X52
& rpoint(X54)
& X53 = X54
& rinside(X53,X49)
& ron(X53,X51)
& rpoint(X56)
& X55 = X56
& ~ rinside(X55,X49)
& ~ ron(X55,X49)
& ron(X55,X51) )
=> ? [X57] :
( rpoint(X57)
& ron(X57,X51)
& ron(X57,X49)
& rR(X57,X53,X55) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))']) ).
fof(c_0_11,plain,
( rpoint(vd1124)
& vd1123 = vd1124
& rpoint(vd1126)
& vd1125 = vd1126
& rpoint(vd1128)
& vd1127 = vd1128
& rpoint(vd1130)
& vd1129 = vd1130
& vd1123 != vd1125
& vd1127 != vd1129
& rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
fof(c_0_12,negated_conjecture,
~ ? [X1] :
( rpoint(X1)
& ron(X1,vd1151)
& ron(X1,vd1152)
& rR(X1,vd1123,vd1125) ),
inference(assume_negation,[status(cth)],['qe(261)']) ).
fof(c_0_13,plain,
! [X786,X787,X788,X789,X790,X791,X792,X793] :
( ( ~ rcircle(X787)
| X786 != X787
| ~ rline(X789)
| X788 != X789
| ~ rpoint(X791)
| X790 != X791
| ~ rinside(X790,X786)
| ~ ron(X790,X788)
| ~ rpoint(X793)
| X792 != X793
| rinside(X792,X786)
| ron(X792,X786)
| ~ ron(X792,X788)
| rpoint(esk4_7(X786,X787,X788,X789,X790,X791,X792)) )
& ( ~ rcircle(X787)
| X786 != X787
| ~ rline(X789)
| X788 != X789
| ~ rpoint(X791)
| X790 != X791
| ~ rinside(X790,X786)
| ~ ron(X790,X788)
| ~ rpoint(X793)
| X792 != X793
| rinside(X792,X786)
| ron(X792,X786)
| ~ ron(X792,X788)
| ron(esk4_7(X786,X787,X788,X789,X790,X791,X792),X788) )
& ( ~ rcircle(X787)
| X786 != X787
| ~ rline(X789)
| X788 != X789
| ~ rpoint(X791)
| X790 != X791
| ~ rinside(X790,X786)
| ~ ron(X790,X788)
| ~ rpoint(X793)
| X792 != X793
| rinside(X792,X786)
| ron(X792,X786)
| ~ ron(X792,X788)
| ron(esk4_7(X786,X787,X788,X789,X790,X791,X792),X786) )
& ( ~ rcircle(X787)
| X786 != X787
| ~ rline(X789)
| X788 != X789
| ~ rpoint(X791)
| X790 != X791
| ~ rinside(X790,X786)
| ~ ron(X790,X788)
| ~ rpoint(X793)
| X792 != X793
| rinside(X792,X786)
| ron(X792,X786)
| ~ ron(X792,X788)
| rR(esk4_7(X786,X787,X788,X789,X790,X791,X792),X790,X792) ) ),
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_10])])])])])])]) ).
cnf(c_0_14,plain,
vd1129 = vd1130,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
vd1123 = vd1129,
inference(split_conjunct,[status(thm)],['holds(258, 1150, 0)']) ).
fof(c_0_16,negated_conjecture,
! [X738] :
( ~ rpoint(X738)
| ~ ron(X738,vd1151)
| ~ ron(X738,vd1152)
| ~ rR(X738,vd1123,vd1125) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_17,plain,
( ~ rcircle(X2)
| X1 != X2
| ~ rline(X4)
| X3 != X4
| ~ rpoint(X6)
| X5 != X6
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X7,X3)
| rinside(X7,X1)
| ron(X7,X1)
| rR(esk4_7(X1,X2,X3,X4,X5,X6,X7),X5,X7) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
rpoint(vd1126),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
vd1125 = vd1126,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
rpoint(vd1130),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
vd1130 = vd1123,
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vd1151)
| ~ ron(X1,vd1152)
| ~ rR(X1,vd1123,vd1125) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ ron(X4,X3)
| ~ ron(X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rinside(X4,X2)
| ~ rcircle(X2)
| ~ rline(X3)
| rR(esk4_7(X2,X2,X3,X3,X4,X4,X1),X4,X1)
| ron(X1,X2)
| rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_24,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( ~ rcircle(X2)
| X1 != X2
| ~ rline(X4)
| X3 != X4
| ~ rpoint(X6)
| X5 != X6
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X7,X3)
| rinside(X7,X1)
| ron(X7,X1)
| ron(esk4_7(X1,X2,X3,X4,X5,X6,X7),X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_27,plain,
! [X1102,X1103] :
( rinside(X1102,X1103)
| ~ rcenter(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_28,plain,
~ rinside(vd1125,vd1152),
inference(fof_simplification,[status(thm)],['neg(neg(260))']) ).
fof(c_0_29,plain,
~ ron(vd1125,vd1152),
inference(fof_simplification,[status(thm)],['neg(neg(comma_conjunct2(260)))']) ).
cnf(c_0_30,negated_conjecture,
( ~ ron(vd1123,X2)
| ~ ron(vd1125,X2)
| ~ ron(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1125),vd1151)
| ~ ron(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1125),vd1152)
| ~ rpoint(esk4_7(X1,X1,X2,X2,vd1123,vd1123,vd1125))
| ~ rinside(vd1123,X1)
| ~ rcircle(X1)
| ~ rline(X2)
| ron(vd1125,X1)
| rinside(vd1125,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_31,plain,
( ~ ron(X4,X3)
| ~ ron(X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rinside(X4,X2)
| ~ rcircle(X2)
| ~ rline(X3)
| ron(X1,X2)
| ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X3)
| rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_32,plain,
rline(vd1151),
inference(split_conjunct,[status(thm)],['pred(259, 0)']) ).
cnf(c_0_33,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_34,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_35,plain,
( ~ rcircle(X2)
| X1 != X2
| ~ rline(X4)
| X3 != X4
| ~ rpoint(X6)
| X5 != X6
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X7,X3)
| rinside(X7,X1)
| ron(X7,X1)
| ron(esk4_7(X1,X2,X3,X4,X5,X6,X7),X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_36,plain,
( ~ rcenter(X1,X2)
| rinside(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,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))']) ).
fof(c_0_38,plain,
~ rinside(vd1125,vd1152),
inference(fof_nnf,[status(thm)],[c_0_28]) ).
fof(c_0_39,plain,
~ ron(vd1125,vd1152),
inference(fof_nnf,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( ~ ron(esk4_7(X1,X1,vd1151,vd1151,vd1123,vd1123,vd1125),vd1152)
| ~ rpoint(esk4_7(X1,X1,vd1151,vd1151,vd1123,vd1123,vd1125))
| ~ rinside(vd1123,X1)
| ~ rcircle(X1)
| ron(vd1125,X1)
| rinside(vd1125,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_24]),c_0_25])]) ).
cnf(c_0_41,plain,
( ~ ron(X4,X3)
| ~ ron(X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rinside(X4,X2)
| ~ rcircle(X2)
| ~ rline(X3)
| ron(X1,X2)
| ron(esk4_7(X2,X2,X3,X3,X4,X4,X1),X2)
| rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_35])])])]) ).
cnf(c_0_42,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_43,plain,
rinside(vd1123,vd1152),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
~ rinside(vd1125,vd1152),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
~ ron(vd1125,vd1152),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( ~ rcircle(X2)
| X1 != X2
| ~ rline(X4)
| X3 != X4
| ~ rpoint(X6)
| X5 != X6
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X7,X3)
| rinside(X7,X1)
| ron(X7,X1)
| rpoint(esk4_7(X1,X2,X3,X4,X5,X6,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_47,negated_conjecture,
~ 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_32]),c_0_24]),c_0_25]),c_0_33]),c_0_34])]),c_0_44]),c_0_45]) ).
cnf(c_0_48,plain,
( ~ ron(X4,X3)
| ~ ron(X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rinside(X4,X2)
| ~ rcircle(X2)
| ~ rline(X3)
| ron(X1,X2)
| rpoint(esk4_7(X2,X2,X3,X3,X4,X4,X1))
| rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])])])]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_32]),c_0_42]),c_0_43]),c_0_24]),c_0_25]),c_0_33]),c_0_34])]),c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO286+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 15:35:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 9.64/2.08 % Version: 3.5.1
% 9.64/2.08 % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.64/2.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.64/2.08 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.64/2.08 % Starting new_bool_3 with 300s (1) cores
% 9.64/2.08 % Starting new_bool_1 with 300s (1) cores
% 9.64/2.08 % Starting sh5l with 300s (1) cores
% 9.64/2.08 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 916398 completed with status 0
% 9.64/2.08 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 9.64/2.08 % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.64/2.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.64/2.08 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.64/2.08 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.64/2.08 % No SInE strategy applied
% 9.64/2.08 % Search class: FGHSF-FSLM33-SFFFFFNN
% 9.64/2.08 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 9.64/2.08 % Starting SubtermCWHack with 136s (1) cores
% 9.64/2.08 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 9.64/2.08 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 9.64/2.08 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 9.64/2.08 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 9.64/2.08 % G-E--_302_C18_F1_URBAN_S0Y with pid 916407 completed with status 0
% 9.64/2.08 % Result found by G-E--_302_C18_F1_URBAN_S0Y
% 9.64/2.08 % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.64/2.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.64/2.08 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.64/2.08 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.64/2.08 % No SInE strategy applied
% 9.64/2.08 % Search class: FGHSF-FSLM33-SFFFFFNN
% 9.64/2.08 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 9.64/2.08 % Starting SubtermCWHack with 136s (1) cores
% 9.64/2.08 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 9.64/2.08 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 9.64/2.08 % Preprocessing time : 0.010 s
% 9.64/2.08
% 9.64/2.08 % Proof found!
% 9.64/2.08 % SZS status Theorem
% 9.64/2.08 % SZS output start CNFRefutation
% See solution above
% 9.64/2.08 % Parsed axioms : 135
% 9.64/2.08 % Removed by relevancy pruning/SinE : 0
% 9.64/2.08 % Initial clauses : 303
% 9.64/2.08 % Removed in clause preprocessing : 2
% 9.64/2.08 % Initial clauses in saturation : 301
% 9.64/2.08 % Processed clauses : 3067
% 9.64/2.08 % ...of these trivial : 26
% 9.64/2.08 % ...subsumed : 1241
% 9.64/2.08 % ...remaining for further processing : 1800
% 9.64/2.08 % Other redundant clauses eliminated : 1100
% 9.64/2.08 % Clauses deleted for lack of memory : 0
% 9.64/2.08 % Backward-subsumed : 69
% 9.64/2.08 % Backward-rewritten : 7
% 9.64/2.08 % Generated clauses : 19256
% 9.64/2.08 % ...of the previous two non-redundant : 16845
% 9.64/2.08 % ...aggressively subsumed : 0
% 9.64/2.08 % Contextual simplify-reflections : 317
% 9.64/2.08 % Paramodulations : 18998
% 9.64/2.08 % Factorizations : 0
% 9.64/2.08 % NegExts : 0
% 9.64/2.08 % Equation resolutions : 1121
% 9.64/2.08 % Disequality decompositions : 0
% 9.64/2.08 % Total rewrite steps : 12898
% 9.64/2.08 % ...of those cached : 12873
% 9.64/2.08 % Propositional unsat checks : 0
% 9.64/2.08 % Propositional check models : 0
% 9.64/2.08 % Propositional check unsatisfiable : 0
% 9.64/2.08 % Propositional clauses : 0
% 9.64/2.08 % Propositional clauses after purity: 0
% 9.64/2.08 % Propositional unsat core size : 0
% 9.64/2.08 % Propositional preprocessing time : 0.000
% 9.64/2.08 % Propositional encoding time : 0.000
% 9.64/2.08 % Propositional solver time : 0.000
% 9.64/2.08 % Success case prop preproc time : 0.000
% 9.64/2.08 % Success case prop encoding time : 0.000
% 9.64/2.08 % Success case prop solver time : 0.000
% 9.64/2.08 % Current number of processed clauses : 1487
% 9.64/2.08 % Positive orientable unit clauses : 29
% 9.64/2.08 % Positive unorientable unit clauses: 0
% 9.64/2.08 % Negative unit clauses : 11
% 9.64/2.08 % Non-unit-clauses : 1447
% 9.64/2.08 % Current number of unprocessed clauses: 13934
% 9.64/2.08 % ...number of literals in the above : 223359
% 9.64/2.08 % Current number of archived formulas : 0
% 9.64/2.08 % Current number of archived clauses : 76
% 9.64/2.08 % Clause-clause subsumption calls (NU) : 1193864
% 9.64/2.08 % Rec. Clause-clause subsumption calls : 29062
% 9.64/2.08 % Non-unit clause-clause subsumptions : 1330
% 9.64/2.08 % Unit Clause-clause subsumption calls : 3564
% 9.64/2.08 % Rewrite failures with RHS unbound : 0
% 9.64/2.08 % BW rewrite match attempts : 11
% 9.64/2.08 % BW rewrite match successes : 7
% 9.64/2.08 % Condensation attempts : 0
% 9.64/2.08 % Condensation successes : 0
% 9.64/2.08 % Termbank termtop insertions : 912686
% 9.64/2.08 % Search garbage collected termcells : 14066
% 9.64/2.08
% 9.64/2.08 % -------------------------------------------------
% 9.64/2.08 % User time : 1.587 s
% 9.64/2.08 % System time : 0.033 s
% 9.64/2.08 % Total time : 1.621 s
% 9.64/2.08 % Maximum resident set size: 6280 pages
% 9.64/2.08
% 9.64/2.08 % -------------------------------------------------
% 9.64/2.08 % User time : 7.790 s
% 9.64/2.08 % System time : 0.059 s
% 9.64/2.08 % Total time : 7.849 s
% 9.64/2.08 % Maximum resident set size: 5376 pages
% 9.64/2.08 % E exiting
%------------------------------------------------------------------------------