%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO282+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 : n022.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 2.30s 1.99s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 56 ( 22 unt; 0 def)
% Number of atoms : 221 ( 69 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 288 ( 123 ~; 115 |; 41 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 46 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))',axiom,
! [X30,X31,X32,X33] :
( ( rless(X30,X32)
& X32 = X33
& rreal(X33)
& X30 = X31
& rreal(X31) )
=> ( ~ rless(X32,X30)
| X30 = X32 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
! [X11,X12,X13,X14] :
( ( ron(X12,X14)
& rcenter(X13,X14)
& ? [X15] :
( X12 = X15
& rpoint(X15) )
& ? [X16] :
( X11 = X16
& rpoint(X16) ) )
=> ( rless(vf(X13,X11),vf(X13,X12))
<=> rinside(X11,X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 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/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('holds(252, 1144, 0)',axiom,
vd1123 = vd1127,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(252, 1144, 0)') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X23,X24] :
( ( ? [X25] :
( X24 = X25
& rpoint(X25) )
& ? [X26] :
( X23 = X26
& rpoint(X26) ) )
=> ? [X27] :
( vf(X23,X24) = X27
& rreal(X27) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
! [X17,X18,X19,X20,X21,X22] :
( ( ron(X21,X20)
& X21 = X22
& rpoint(X22)
& rcenter(X19,X20)
& X17 = X18
& rpoint(X18) )
=> ( vf(X19,X17) = vf(X19,X21)
<=> ron(X17,X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))',axiom,
( ron(vd1129,vd1146)
& rcenter(vd1123,vd1146)
& rcircle(vd1146)
& ron(vd1125,vd1145)
& ron(vd1123,vd1145) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))') ).
fof('neg(neg(254))',conjecture,
~ rinside(vd1125,vd1146),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(254))') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X28,X29] :
( ( X28 = X29
& rreal(X29) )
=> ~ rless(X28,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(c_0_9,plain,
! [X30,X31,X32,X33] :
( ( rless(X30,X32)
& X32 = X33
& rreal(X33)
& X30 = X31
& rreal(X31) )
=> ( ~ rless(X32,X30)
| X30 = X32 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))']) ).
fof(c_0_10,plain,
! [X1516,X1517,X1518,X1519] :
( ~ rless(X1516,X1518)
| X1518 != X1519
| ~ rreal(X1519)
| X1516 != X1517
| ~ rreal(X1517)
| ~ rless(X1518,X1516)
| X1516 = X1518 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_11,plain,
! [X1497,X1498,X1499,X1500,X1501,X1502] :
( ( ~ rless(vf(X1499,X1497),vf(X1499,X1498))
| rinside(X1497,X1500)
| ~ ron(X1498,X1500)
| ~ rcenter(X1499,X1500)
| X1498 != X1501
| ~ rpoint(X1501)
| X1497 != X1502
| ~ rpoint(X1502) )
& ( ~ rinside(X1497,X1500)
| rless(vf(X1499,X1497),vf(X1499,X1498))
| ~ ron(X1498,X1500)
| ~ rcenter(X1499,X1500)
| X1498 != X1501
| ~ rpoint(X1501)
| X1497 != X1502
| ~ rpoint(X1502) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))'])])])]) ).
cnf(c_0_12,plain,
( X1 = X2
| ~ rless(X1,X2)
| X2 != X3
| ~ rreal(X3)
| X1 != X4
| ~ rreal(X4)
| ~ rless(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
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,
vd1123 = vd1127,
inference(split_conjunct,[status(thm)],['holds(252, 1144, 0)']) ).
cnf(c_0_15,plain,
( rless(vf(X3,X1),vf(X3,X4))
| ~ rinside(X1,X2)
| ~ ron(X4,X2)
| ~ rcenter(X3,X2)
| X4 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X1509,X1510,X1511,X1512] :
( ( vf(X1509,X1510) = esk3_2(X1509,X1510)
| X1510 != X1511
| ~ rpoint(X1511)
| X1509 != X1512
| ~ rpoint(X1512) )
& ( rreal(esk3_2(X1509,X1510))
| X1510 != X1511
| ~ rpoint(X1511)
| X1509 != X1512
| ~ rpoint(X1512) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])]) ).
fof(c_0_17,plain,
! [X1503,X1504,X1505,X1506,X1507,X1508] :
( ( vf(X1505,X1503) != vf(X1505,X1507)
| ron(X1503,X1506)
| ~ ron(X1507,X1506)
| X1507 != X1508
| ~ rpoint(X1508)
| ~ rcenter(X1505,X1506)
| X1503 != X1504
| ~ rpoint(X1504) )
& ( ~ ron(X1503,X1506)
| vf(X1505,X1503) = vf(X1505,X1507)
| ~ ron(X1507,X1506)
| X1507 != X1508
| ~ rpoint(X1508)
| ~ rcenter(X1505,X1506)
| X1503 != X1504
| ~ rpoint(X1504) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))'])])]) ).
cnf(c_0_18,plain,
( X1 = X2
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X2,X1)
| ~ rless(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])]) ).
cnf(c_0_19,plain,
rless(vf(vd1123,vd1129),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ rinside(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_15])]) ).
cnf(c_0_21,plain,
rcenter(vd1123,vd1146),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))']) ).
cnf(c_0_22,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_23,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_24,plain,
rpoint(vd1130),
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_25,plain,
vd1129 = vd1130,
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)))']) ).
fof(c_0_26,negated_conjecture,
rinside(vd1125,vd1146),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['neg(neg(254))'])]) ).
cnf(c_0_27,plain,
( rreal(esk3_2(X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( vf(X1,X2) = esk3_2(X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
vd1127 = vd1128,
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_30,plain,
( vf(X3,X1) = vf(X3,X4)
| ~ ron(X1,X2)
| ~ ron(X4,X2)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X3,X2)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1129)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1129))
| ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1129)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_32,plain,
( rless(vf(vd1123,X1),vf(vd1123,X2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1146)
| ~ rinside(X1,vd1146) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_33,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_34,plain,
rpoint(vd1129),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,plain,
ron(vd1129,vd1146),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))']) ).
cnf(c_0_36,negated_conjecture,
rinside(vd1125,vd1146),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
( rreal(esk3_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]) ).
cnf(c_0_38,plain,
( esk3_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).
cnf(c_0_39,plain,
rpoint(vd1128),
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_40,plain,
vd1128 = vd1123,
inference(rw,[status(thm)],[c_0_29,c_0_14]) ).
fof(c_0_41,plain,
! [X28,X29] :
( ( X28 = X29
& rreal(X29) )
=> ~ rless(X28,X28) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
cnf(c_0_42,plain,
( vf(X1,X2) = vf(X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rcenter(X1,X4)
| ~ ron(X3,X4)
| ~ ron(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]) ).
cnf(c_0_43,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1129)
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1129)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_44,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_46,plain,
! [X1514,X1515] :
( X1514 != X1515
| ~ rreal(X1515)
| ~ rless(X1514,X1514) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
cnf(c_0_47,plain,
( vf(vd1123,X1) = vf(vd1123,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X2,vd1146)
| ~ ron(X1,vd1146) ),
inference(spm,[status(thm)],[c_0_42,c_0_21]) ).
cnf(c_0_48,plain,
( vf(vd1123,vd1125) = vf(vd1123,vd1129)
| ~ rreal(vf(vd1123,vd1129)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_33])]) ).
cnf(c_0_49,plain,
( X1 != X2
| ~ rreal(X2)
| ~ rless(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1125))
| ~ rpoint(X1)
| ~ ron(X1,vd1146) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_47]),c_0_34]),c_0_35])]) ).
cnf(c_0_51,plain,
vf(vd1123,vd1125) = vf(vd1123,vd1129),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_45]),c_0_34])]) ).
cnf(c_0_52,plain,
( ~ rreal(X1)
| ~ rless(X1,X1) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_53,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1129))
| ~ rpoint(X1)
| ~ ron(X1,vd1146) ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,plain,
rreal(vf(vd1123,vd1129)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_51]),c_0_45]),c_0_33])]) ).
cnf(c_0_55,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_34]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO282+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
% 0.15/0.33 % Computer : n022.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:52:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.30/1.99 % Version : CSE_E---1.7
% 2.30/1.99 % Problem : theBenchmark.p
% 2.30/1.99 % SZS status Theorem for theBenchmark.p
% 2.30/1.99 % SZS output start CNFRefutation
% See solution above
% 2.30/2.00 % Total time : 1.425s
%------------------------------------------------------------------------------