%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO290+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 04:20:15 PM UTC 2026
% Result : Theorem 6.41s 4.51s
% Output : CNFRefutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 76 ( 43 unt; 0 def)
% Number of atoms : 306 ( 141 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 366 ( 136 ~; 143 |; 82 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-3 aty)
% Number of variables : 87 ( 0 sgn 32 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(s2(plural(271)))',axiom,
? [X10] :
( vd1200 = X10
& rpoint(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(271)))') ).
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X1,X2,X3,X4,X5] :
( ( X4 = X5
& ron(X3,X4)
& ron(X2,X4)
& ron(X1,X4)
& rline(X5)
& X2 != X3
& X1 != X3
& X1 != X2
& ? [X6] :
( X3 = X6
& rpoint(X6) )
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) ) )
=> ( rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)',axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
( ~ ? [X12] :
( ron(vd1187,X12)
& ron(vd1186,X12)
& ron(vd1185,X12)
& rline(X12) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X13] :
( vd1187 = X13
& rpoint(X13) )
& ? [X14] :
( vd1186 = X14
& rpoint(X14) )
& ? [X15] :
( vd1185 = X15
& rpoint(X15) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X16] :
( vd1180 = X16
& rpoint(X16) )
& ? [X17] :
( vd1179 = X17
& rpoint(X17) )
& ? [X18] :
( vd1178 = X18
& rpoint(X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X441,X442,X443] :
( ( rR(X442,X441,X443)
& ? [X444] :
( X443 = X444
& rpoint(X444) )
& ? [X445] :
( X442 = X445
& rpoint(X445) )
& ? [X446] :
( X441 = X446
& rpoint(X446) ) )
=> ( ~ rR(X441,X442,X443)
& X441 != X443
& X441 != X442
& rR(X442,X443,X441) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('pred(s2(plural(269)), 0)',axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof('pred(269, 0)',axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).
fof('qe(s1(plural(271)))',axiom,
? [X11] :
( vd1199 = X11
& rpoint(X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof('pred(s3(plural(274)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof('pred(s1(plural(274)), 0)',axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(274)), 0)') ).
fof('holds(275, 1217, 0)',axiom,
vd1199 != vd1185,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(275, 1217, 0)') ).
fof('neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))',axiom,
~ rR(vd1186,vd1199,vd1185),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))') ).
fof('dis(276)',conjecture,
( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(276)') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X27,X28] :
( ( ? [X29] :
( X28 = X29
& rpoint(X29) )
& ? [X30] :
( X27 = X30
& rpoint(X30) ) )
=> ( vf(X27,X28) = v0
<=> X27 = X28 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('holds(273, 1215, 0)',axiom,
vf(vd1199,vd1200) = vf(vd1185,vd1186),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(273, 1215, 0)') ).
fof(c_0_15,plain,
( vd1200 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(271)))'])]) ).
fof(c_0_16,plain,
! [X1539,X1540,X1541,X1542,X1543,X1544,X1545,X1546] :
( X1542 != X1543
| ~ ron(X1541,X1542)
| ~ ron(X1540,X1542)
| ~ ron(X1539,X1542)
| ~ rline(X1543)
| X1540 = X1541
| X1539 = X1541
| X1539 = X1540
| X1541 != X1544
| ~ rpoint(X1544)
| X1540 != X1545
| ~ rpoint(X1545)
| X1539 != X1546
| ~ rpoint(X1546)
| rR(X1540,X1539,X1541)
| rR(X1539,X1540,X1541)
| rR(X1541,X1539,X1540) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))'])])]) ).
cnf(c_0_17,plain,
vd1200 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).
cnf(c_0_19,plain,
( X4 = X3
| X5 = X3
| X5 = X4
| rR(X4,X5,X3)
| rR(X5,X4,X3)
| rR(X3,X5,X4)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ ron(X5,X1)
| ~ rline(X2)
| X3 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
esk2_0 = vd1186,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_22,plain,
! [X1550] :
( ( ~ ron(vd1187,X1550)
| ~ ron(vd1186,X1550)
| ~ ron(vd1185,X1550)
| ~ rline(X1550) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk4_0
& rpoint(esk4_0)
& vd1186 = esk5_0
& rpoint(esk5_0)
& vd1185 = esk6_0
& rpoint(esk6_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk7_0
& rpoint(esk7_0)
& vd1179 = esk8_0
& rpoint(esk8_0)
& vd1178 = esk9_0
& rpoint(esk9_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))'])])])]) ).
fof(c_0_23,plain,
! [X441,X442,X443] :
( ( rR(X442,X441,X443)
& ? [X444] :
( X443 = X444
& rpoint(X444) )
& ? [X445] :
( X442 = X445
& rpoint(X445) )
& ? [X446] :
( X441 = X446
& rpoint(X446) ) )
=> ( ~ rR(X441,X442,X443)
& X441 != X443
& X441 != X442
& rR(X442,X443,X441) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
cnf(c_0_24,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_25,plain,
ron(vd1186,vd1197),
inference(split_conjunct,[status(thm)],['pred(s2(plural(269)), 0)']) ).
cnf(c_0_26,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
cnf(c_0_28,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
( vd1199 = esk3_0
& rpoint(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(271)))'])]) ).
fof(c_0_31,plain,
! [X2009,X2010,X2011,X2012,X2013,X2014] :
( ( ~ rR(X2009,X2010,X2011)
| ~ rR(X2010,X2009,X2011)
| X2011 != X2012
| ~ rpoint(X2012)
| X2010 != X2013
| ~ rpoint(X2013)
| X2009 != X2014
| ~ rpoint(X2014) )
& ( X2009 != X2011
| ~ rR(X2010,X2009,X2011)
| X2011 != X2012
| ~ rpoint(X2012)
| X2010 != X2013
| ~ rpoint(X2013)
| X2009 != X2014
| ~ rpoint(X2014) )
& ( X2009 != X2010
| ~ rR(X2010,X2009,X2011)
| X2011 != X2012
| ~ rpoint(X2012)
| X2010 != X2013
| ~ rpoint(X2013)
| X2009 != X2014
| ~ rpoint(X2014) )
& ( rR(X2010,X2011,X2009)
| ~ rR(X2010,X2009,X2011)
| X2011 != X2012
| ~ rpoint(X2012)
| X2010 != X2013
| ~ rpoint(X2013)
| X2009 != X2014
| ~ rpoint(X2014) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_32,plain,
( X1 = vd1186
| X2 = vd1186
| X2 = X1
| rR(vd1186,X1,X2)
| rR(X1,vd1186,X2)
| rR(X2,vd1186,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,vd1197)
| ~ ron(X2,vd1197) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_33,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_34,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
vd1199 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| X2 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( vd1186 = vd1185
| X1 = vd1185
| X1 = vd1186
| rR(X1,vd1186,vd1185)
| rR(vd1185,vd1186,X1)
| rR(vd1186,vd1185,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1197) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_39,plain,
ron(vd1199,vd1197),
inference(split_conjunct,[status(thm)],['pred(s1(plural(274)), 0)']) ).
cnf(c_0_40,plain,
rpoint(vd1199),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
vd1199 != vd1185,
inference(split_conjunct,[status(thm)],['holds(275, 1217, 0)']) ).
fof(c_0_42,plain,
~ rR(vd1186,vd1199,vd1185),
inference(fof_simplification,[status(thm)],['neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))']) ).
fof(c_0_43,negated_conjecture,
~ ( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ),
inference(assume_negation,[status(cth)],['dis(276)']) ).
cnf(c_0_44,plain,
( rR(X1,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])])]) ).
cnf(c_0_45,plain,
( vd1186 = vd1199
| vd1186 = vd1185
| rR(vd1186,vd1185,vd1199)
| rR(vd1185,vd1186,vd1199)
| rR(vd1199,vd1186,vd1185) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),c_0_41]) ).
cnf(c_0_46,plain,
~ rR(vd1186,vd1199,vd1185),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_47,negated_conjecture,
( ~ rR(vd1199,vd1185,vd1186)
& ~ rR(vd1185,vd1199,vd1186) ),
inference(fof_nnf,[status(thm)],[c_0_43]) ).
fof(c_0_48,plain,
! [X1581,X1582,X1583,X1584] :
( ( vf(X1581,X1582) != v0
| X1581 = X1582
| X1582 != X1583
| ~ rpoint(X1583)
| X1581 != X1584
| ~ rpoint(X1584) )
& ( X1581 != X1582
| vf(X1581,X1582) = v0
| X1582 != X1583
| ~ rpoint(X1583)
| X1581 != X1584
| ~ rpoint(X1584) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])]) ).
cnf(c_0_49,plain,
vf(vd1199,vd1200) = vf(vd1185,vd1186),
inference(split_conjunct,[status(thm)],['holds(273, 1215, 0)']) ).
cnf(c_0_50,plain,
( vd1186 = vd1185
| vd1186 = vd1199
| rR(vd1199,vd1186,vd1185)
| rR(vd1185,vd1186,vd1199) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_34]),c_0_26]),c_0_40])]),c_0_46]) ).
cnf(c_0_51,negated_conjecture,
~ rR(vd1185,vd1199,vd1186),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,plain,
( X1 = X2
| vf(X1,X2) != v0
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,plain,
vf(vd1178,vd1179) = vf(vd1185,vd1186),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_54,plain,
vf(vd1185,vd1186) = vf(vd1199,vd1186),
inference(rw,[status(thm)],[c_0_49,c_0_18]) ).
cnf(c_0_55,plain,
rpoint(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_56,plain,
vd1178 = esk9_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_57,plain,
rpoint(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_58,plain,
vd1179 = esk8_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_59,plain,
( vd1186 = vd1199
| vd1186 = vd1185
| rR(vd1199,vd1186,vd1185) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_50]),c_0_26]),c_0_34]),c_0_40])]),c_0_51]) ).
cnf(c_0_60,negated_conjecture,
~ rR(vd1199,vd1185,vd1186),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_61,plain,
( X1 = X2
| vf(X1,X2) != v0
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_52])]) ).
cnf(c_0_62,plain,
vf(vd1178,vd1179) = vf(vd1199,vd1186),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,plain,
rpoint(vd1178),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,plain,
rpoint(vd1179),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
vd1178 != vd1179,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_66,plain,
( vf(X1,X2) = v0
| X1 != X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_67,plain,
( vd1186 = vd1185
| vd1186 = vd1199 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_59]),c_0_26]),c_0_40]),c_0_34])]),c_0_60]) ).
cnf(c_0_68,plain,
vf(vd1199,vd1186) != v0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64])]),c_0_65]) ).
cnf(c_0_69,plain,
( vf(X1,X1) = v0
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_66])])]) ).
cnf(c_0_70,plain,
( vf(vd1185,vd1185) = vf(vd1199,vd1185)
| vd1186 = vd1199 ),
inference(spm,[status(thm)],[c_0_54,c_0_67]) ).
cnf(c_0_71,plain,
( vd1186 = vd1199
| vf(vd1199,vd1185) != v0 ),
inference(spm,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_72,plain,
( vd1186 = vd1185
| vf(vd1199,vd1186) != v0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_54]),c_0_34]),c_0_26])]) ).
cnf(c_0_73,plain,
vd1186 = vd1199,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_34])]),c_0_71]) ).
cnf(c_0_74,plain,
vf(vd1199,vd1199) != v0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_73]),c_0_41]) ).
cnf(c_0_75,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_69]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO290+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 17:51:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 6.41/4.51 % Version : CSE_E---1.7
% 6.41/4.51 % Problem : theBenchmark.p
% 6.41/4.51 % SZS status Theorem for theBenchmark.p
% 6.41/4.51 % SZS output start CNFRefutation
% See solution above
% 6.41/4.52 % Total time : 3.426s
%------------------------------------------------------------------------------