%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO281+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.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 : Tue May 5 04:20:14 PM UTC 2026
% Result : Theorem 1.70s 1.88s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 21 unt; 0 def)
% Number of atoms : 261 ( 48 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 370 ( 152 ~; 162 |; 53 &)
% ( 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 : 13 ( 13 usr; 11 con; 0-7 aty)
% Number of variables : 87 ( 0 sgn 29 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))',axiom,
! [X25,X26,X27,X28,X29,X30,X31,X32] :
( ( ron(X31,X27)
& ~ ron(X31,X25)
& ~ rinside(X31,X25)
& X31 = X32
& rpoint(X32)
& ron(X29,X27)
& rinside(X29,X25)
& X29 = X30
& rpoint(X30)
& X27 = X28
& rline(X28)
& X25 = X26
& rcircle(X26) )
=> ? [X33] :
( rR(X33,X29,X31)
& ron(X33,X25)
& ron(X33,X27)
& rpoint(X33) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof('qe(248)',conjecture,
? [X1] :
( rR(X1,vd1123,vd1125)
& ron(X1,vd1139)
& ron(X1,vd1138)
& rpoint(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(248)') ).
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/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(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X373,X374] :
( rcenter(X373,X374)
=> rinside(X373,X374) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('pred(246, 0)',axiom,
rline(vd1138),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(246, 0)') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))',axiom,
( ron(vd1136,vd1139)
& rcenter(vd1123,vd1139)
& rcircle(vd1139)
& ron(vd1125,vd1138)
& ron(vd1123,vd1138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).
fof('neg(neg(247))',axiom,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(247))') ).
fof('neg(neg(comma_conjunct2(247)))',axiom,
~ ron(vd1125,vd1139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(247)))') ).
fof(c_0_8,plain,
! [X25,X26,X27,X28,X29,X30,X31,X32] :
( ( ron(X31,X27)
& ~ ron(X31,X25)
& ~ rinside(X31,X25)
& X31 = X32
& rpoint(X32)
& ron(X29,X27)
& rinside(X29,X25)
& X29 = X30
& rpoint(X30)
& X27 = X28
& rline(X28)
& X25 = X26
& rcircle(X26) )
=> ? [X33] :
( rR(X33,X29,X31)
& ron(X33,X25)
& ron(X33,X27)
& rpoint(X33) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))']) ).
fof(c_0_9,negated_conjecture,
~ ? [X1] :
( rR(X1,vd1123,vd1125)
& ron(X1,vd1139)
& ron(X1,vd1138)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(248)']) ).
fof(c_0_10,plain,
! [X1513,X1514,X1515,X1516,X1517,X1518,X1519,X1520] :
( ( rR(esk2_7(X1513,X1514,X1515,X1516,X1517,X1518,X1519),X1517,X1519)
| ~ ron(X1519,X1515)
| ron(X1519,X1513)
| rinside(X1519,X1513)
| X1519 != X1520
| ~ rpoint(X1520)
| ~ ron(X1517,X1515)
| ~ rinside(X1517,X1513)
| X1517 != X1518
| ~ rpoint(X1518)
| X1515 != X1516
| ~ rline(X1516)
| X1513 != X1514
| ~ rcircle(X1514) )
& ( ron(esk2_7(X1513,X1514,X1515,X1516,X1517,X1518,X1519),X1513)
| ~ ron(X1519,X1515)
| ron(X1519,X1513)
| rinside(X1519,X1513)
| X1519 != X1520
| ~ rpoint(X1520)
| ~ ron(X1517,X1515)
| ~ rinside(X1517,X1513)
| X1517 != X1518
| ~ rpoint(X1518)
| X1515 != X1516
| ~ rline(X1516)
| X1513 != X1514
| ~ rcircle(X1514) )
& ( ron(esk2_7(X1513,X1514,X1515,X1516,X1517,X1518,X1519),X1515)
| ~ ron(X1519,X1515)
| ron(X1519,X1513)
| rinside(X1519,X1513)
| X1519 != X1520
| ~ rpoint(X1520)
| ~ ron(X1517,X1515)
| ~ rinside(X1517,X1513)
| X1517 != X1518
| ~ rpoint(X1518)
| X1515 != X1516
| ~ rline(X1516)
| X1513 != X1514
| ~ rcircle(X1514) )
& ( rpoint(esk2_7(X1513,X1514,X1515,X1516,X1517,X1518,X1519))
| ~ ron(X1519,X1515)
| ron(X1519,X1513)
| rinside(X1519,X1513)
| X1519 != X1520
| ~ rpoint(X1520)
| ~ ron(X1517,X1515)
| ~ rinside(X1517,X1513)
| X1517 != X1518
| ~ rpoint(X1518)
| X1515 != X1516
| ~ rline(X1516)
| X1513 != X1514
| ~ rcircle(X1514) ) ),
inference(distribute,[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,negated_conjecture,
! [X1489] :
( ~ rR(X1489,vd1123,vd1125)
| ~ ron(X1489,vd1139)
| ~ ron(X1489,vd1138)
| ~ rpoint(X1489) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
cnf(c_0_12,plain,
( rR(esk2_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]) ).
cnf(c_0_13,plain,
rpoint(vd1126),
inference(split_conjunct,[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)))']) ).
cnf(c_0_14,plain,
vd1125 = vd1126,
inference(split_conjunct,[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)))']) ).
cnf(c_0_15,plain,
rpoint(vd1124),
inference(split_conjunct,[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)))']) ).
cnf(c_0_16,plain,
vd1123 = vd1124,
inference(split_conjunct,[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)))']) ).
cnf(c_0_17,negated_conjecture,
( ~ rR(X1,vd1123,vd1125)
| ~ ron(X1,vd1139)
| ~ ron(X1,vd1138)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( rinside(X1,X2)
| ron(X1,X2)
| rR(esk2_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_12])])])]) ).
cnf(c_0_19,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ron(esk2_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]) ).
fof(c_0_22,plain,
! [X1875,X1876] :
( ~ rcenter(X1875,X1876)
| rinside(X1875,X1876) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).
cnf(c_0_23,negated_conjecture,
( rinside(vd1125,X1)
| ron(vd1125,X1)
| ~ rline(X2)
| ~ rcircle(X1)
| ~ rinside(vd1123,X1)
| ~ rpoint(esk2_7(X1,X1,X2,X2,vd1123,vd1123,vd1125))
| ~ ron(esk2_7(X1,X1,X2,X2,vd1123,vd1123,vd1125),vd1139)
| ~ ron(esk2_7(X1,X1,X2,X2,vd1123,vd1123,vd1125),vd1138)
| ~ ron(vd1125,X2)
| ~ ron(vd1123,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
( rinside(X1,X2)
| ron(esk2_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_21])])])]) ).
cnf(c_0_25,plain,
rline(vd1138),
inference(split_conjunct,[status(thm)],['pred(246, 0)']) ).
cnf(c_0_26,plain,
ron(vd1125,vd1138),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_27,plain,
ron(vd1123,vd1138),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_28,plain,
( ron(esk2_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_29,plain,
( rinside(X1,X2)
| ~ rcenter(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
rcenter(vd1123,vd1139),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
fof(c_0_31,plain,
~ rinside(vd1125,vd1139),
inference(fof_simplification,[status(thm)],['neg(neg(247))']) ).
fof(c_0_32,plain,
~ ron(vd1125,vd1139),
inference(fof_simplification,[status(thm)],['neg(neg(comma_conjunct2(247)))']) ).
cnf(c_0_33,negated_conjecture,
( rinside(vd1125,X1)
| ron(vd1125,X1)
| ~ rcircle(X1)
| ~ rinside(vd1123,X1)
| ~ rpoint(esk2_7(X1,X1,vd1138,vd1138,vd1123,vd1123,vd1125))
| ~ ron(esk2_7(X1,X1,vd1138,vd1138,vd1123,vd1123,vd1125),vd1139) ),
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_23,c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_19]),c_0_20])]) ).
cnf(c_0_34,plain,
( rinside(X1,X2)
| ron(esk2_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_28])])])]) ).
cnf(c_0_35,plain,
rcircle(vd1139),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_36,plain,
rinside(vd1123,vd1139),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
~ rinside(vd1125,vd1139),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
~ ron(vd1125,vd1139),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( rpoint(esk2_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_40,negated_conjecture,
~ rpoint(esk2_7(vd1139,vd1139,vd1138,vd1138,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_33,c_0_34]),c_0_35]),c_0_36]),c_0_25]),c_0_19]),c_0_20]),c_0_26]),c_0_27])]),c_0_37]),c_0_38]) ).
cnf(c_0_41,plain,
( rinside(X1,X2)
| rpoint(esk2_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_39])])])]) ).
cnf(c_0_42,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_40,c_0_41]),c_0_25]),c_0_35]),c_0_36]),c_0_19]),c_0_20]),c_0_26]),c_0_27])]),c_0_37]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO281+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n009.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 17:51:41 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.70/1.88 % Version : CSE_E---1.7
% 1.70/1.88 % Problem : theBenchmark.p
% 1.70/1.88 % SZS status Theorem for theBenchmark.p
% 1.70/1.88 % SZS output start CNFRefutation
% See solution above
% 1.70/1.88 % Total time : 1.423s
%------------------------------------------------------------------------------