%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO296+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 12:30:02 PM UTC 2026
% Result : ContradictoryAxioms 88.79s 13.35s
% Output : CNFRefutation 88.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 153 ( 80 unt; 0 def)
% Number of atoms : 633 ( 272 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 775 ( 295 ~; 307 |; 156 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 21 con; 0-3 aty)
% Number of variables : 251 ( 0 sgn 101 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))',axiom,
! [X749,X750,X751] :
( ( ? [X754] :
( rpoint(X754)
& X749 = X754 )
& ? [X753] :
( rpoint(X753)
& X750 = X753 )
& ? [X752] :
( rpoint(X752)
& X751 = X752 )
& X749 != X750
& X749 != X751 )
=> vangle(X749,X750,X751) = vangle(X751,X750,X749) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 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,
( ? [X7] :
( rpoint(X7)
& vd1178 = X7 )
& ? [X6] :
( rpoint(X6)
& vd1179 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1180 = X5 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X4] :
( rpoint(X4)
& vd1185 = X4 )
& ? [X3] :
( rpoint(X3)
& vd1186 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1187 = X2 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X1] :
( rline(X1)
& ron(vd1185,X1)
& ron(vd1186,X1)
& ron(vd1187,X1) ) ),
file('/export/starexec/sandbox/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(190), 0), imp(cond(axiom(190), 0)))',axiom,
! [X11,X12,X13,X14,X15,X16] :
( ( ? [X22] :
( rpoint(X22)
& X11 = X22 )
& ? [X21] :
( rpoint(X21)
& X12 = X21 )
& ? [X20] :
( rpoint(X20)
& X13 = X20 )
& ? [X19] :
( rpoint(X19)
& X14 = X19 )
& ? [X18] :
( rline(X18)
& X15 = X18 )
& ? [X17] :
( rline(X17)
& X16 = X17 )
& ron(X11,X15)
& ron(X11,X16)
& ron(X12,X15)
& ron(X13,X16)
& X11 != X12
& X11 != X13
& ~ ron(X14,X15)
& ~ ron(X14,X16)
& X15 != X16 )
=> ( vangle(X12,X11,X13) = vplus(vangle(X12,X11,X14),vangle(X14,X11,X13))
<=> ( rS(X12,X14,X16)
& rS(X13,X14,X15) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof('holds(309, 1245, 1)',axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(309, 1245, 1)') ).
fof('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)',axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof('holds(291, 1230, 0)',axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof('qe(s3(plural(271)))',axiom,
? [X8] :
( rpoint(X8)
& vd1201 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof('qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))',axiom,
! [X183,X184,X185,X186] :
( ( rreal(X184)
& X183 = X184
& rreal(X186)
& X185 = X186 )
=> ( rless(X185,X183)
| X183 = X185
| rless(X183,X185) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X61,X62] :
( ( ? [X64] :
( rpoint(X64)
& X61 = X64 )
& ? [X63] :
( rpoint(X63)
& X62 = X63 ) )
=> ? [X65] :
( rreal(X65)
& vf(X61,X62) = X65 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('holds(307, 1243, 0)',axiom,
vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(307, 1243, 0)') ).
fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
! [X78,X79,X80,X81] :
( ( ? [X83] :
( rpoint(X83)
& X78 = X83 )
& ? [X82] :
( rpoint(X82)
& X79 = X82 )
& rline(X81)
& X80 = X81
& rS(X78,X79,X80) )
=> ~ ron(X78,X80) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
! [X76,X77] :
( ( rreal(X77)
& X76 = X77 )
=> vplus(X76,v0) = X76 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X72,X73,X74,X75] :
( ( rreal(X73)
& X72 = X73
& rreal(X75)
& X74 = X75 )
=> vplus(X72,X74) = vplus(X74,X72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('pred(axiom(137), 1)',axiom,
rreal(vd684),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof('pred(axiom(137), 2)',axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
! [X177,X178] :
( ( rreal(X178)
& X177 = X178 )
=> ~ rless(X177,X177) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
! [X165,X166,X167,X168,X169,X170] :
( ( rreal(X166)
& X165 = X166
& rreal(X168)
& X167 = X168
& rreal(X170)
& X169 = X170
& rless(X165,X167) )
=> rless(vplus(X165,X169),vplus(X167,X169)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof('neg(298)',axiom,
~ rS(vd1186,vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(298)') ).
fof('neg(neg(296))',axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(296))') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X23,X24] :
( ( ? [X26] :
( rpoint(X26)
& X23 = X26 )
& ? [X25] :
( rpoint(X25)
& X24 = X25 ) )
=> ( vf(X23,X24) = v0
<=> X23 = X24 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('pred(s2(plural(293)), 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof('pred(293, 0)',axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)') ).
fof('pred(s1(plural(293)), 0)',axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof('pred(s2(plural(274)), 0)',axiom,
ron(vd1200,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(274)), 0)') ).
fof('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)',axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof('pred(269, 0)',axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof('neg(neg(270))',axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).
fof('pred(s3(plural(274)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof('holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)',axiom,
vf(vd1178,vd1180) = vf(vd1199,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)') ).
fof('holds(306, 1242, 0)',axiom,
rS(vd1200,vd1187,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(306, 1242, 0)') ).
fof('pred(294, 0)',axiom,
rline(vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(294, 0)') ).
fof('pred(s1(plural(294)), 0)',axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).
fof(c_0_32,plain,
! [X749,X750,X751] :
( ( ? [X754] :
( rpoint(X754)
& X749 = X754 )
& ? [X753] :
( rpoint(X753)
& X750 = X753 )
& ? [X752] :
( rpoint(X752)
& X751 = X752 )
& X749 != X750
& X749 != X751 )
=> vangle(X749,X750,X751) = vangle(X751,X750,X749) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))']) ).
fof(c_0_33,plain,
( ? [X7] :
( rpoint(X7)
& vd1178 = X7 )
& ? [X6] :
( rpoint(X6)
& vd1179 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1180 = X5 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X4] :
( rpoint(X4)
& vd1185 = X4 )
& ? [X3] :
( rpoint(X3)
& vd1186 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1187 = X2 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X1] :
( rline(X1)
& ron(vd1185,X1)
& ron(vd1186,X1)
& ron(vd1187,X1) ) ),
inference(fof_simplification,[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_34,plain,
! [X11,X12,X13,X14,X15,X16] :
( ( ? [X22] :
( rpoint(X22)
& X11 = X22 )
& ? [X21] :
( rpoint(X21)
& X12 = X21 )
& ? [X20] :
( rpoint(X20)
& X13 = X20 )
& ? [X19] :
( rpoint(X19)
& X14 = X19 )
& ? [X18] :
( rline(X18)
& X15 = X18 )
& ? [X17] :
( rline(X17)
& X16 = X17 )
& ron(X11,X15)
& ron(X11,X16)
& ron(X12,X15)
& ron(X13,X16)
& X11 != X12
& X11 != X13
& ~ ron(X14,X15)
& ~ ron(X14,X16)
& X15 != X16 )
=> ( vangle(X12,X11,X13) = vplus(vangle(X12,X11,X14),vangle(X14,X11,X13))
<=> ( rS(X12,X14,X16)
& rS(X13,X14,X15) ) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))']) ).
cnf(c_0_35,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(309, 1245, 1)']) ).
cnf(c_0_36,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).
cnf(c_0_37,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).
fof(c_0_38,plain,
! [X1533,X1534,X1535,X1536,X1537,X1538] :
( vangle(X1533,X1534,X1535) = vangle(X1535,X1534,X1533)
| ~ rpoint(X1538)
| X1533 != X1538
| ~ rpoint(X1537)
| X1534 != X1537
| ~ rpoint(X1536)
| X1535 != X1536
| X1533 = X1534
| X1533 = X1535 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
fof(c_0_39,plain,
! [X755] :
( rpoint(esk6_0)
& vd1178 = esk6_0
& rpoint(esk5_0)
& vd1179 = esk5_0
& rpoint(esk4_0)
& vd1180 = esk4_0
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(esk3_0)
& vd1185 = esk3_0
& rpoint(esk2_0)
& vd1186 = esk2_0
& rpoint(esk1_0)
& vd1187 = esk1_0
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ( ~ rline(X755)
| ~ ron(vd1185,X755)
| ~ ron(vd1186,X755)
| ~ ron(vd1187,X755) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).
fof(c_0_40,plain,
( rpoint(esk7_0)
& vd1201 = esk7_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
fof(c_0_41,plain,
! [X959,X960,X961,X962] :
( rless(X961,X959)
| X959 = X961
| rless(X959,X961)
| ~ rreal(X960)
| X959 != X960
| ~ rreal(X962)
| X961 != X962 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))'])])]) ).
fof(c_0_42,plain,
! [X831,X832,X833,X834] :
( ( ~ rpoint(X834)
| X831 != X834
| ~ rpoint(X833)
| X832 != X833
| rreal(esk10_2(X831,X832)) )
& ( ~ rpoint(X834)
| X831 != X834
| ~ rpoint(X833)
| X832 != X833
| vf(X831,X832) = esk10_2(X831,X832) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_43,plain,
! [X765,X766,X767,X768,X769,X770,X771,X772,X773,X774,X775,X776] :
( ( ~ rpoint(X776)
| X765 != X776
| ~ rpoint(X775)
| X766 != X775
| ~ rpoint(X774)
| X767 != X774
| ~ rpoint(X773)
| X768 != X773
| ~ rline(X772)
| X769 != X772
| ~ rline(X771)
| X770 != X771
| ~ ron(X765,X769)
| ~ ron(X765,X770)
| ~ ron(X766,X769)
| ~ ron(X767,X770)
| X765 = X766
| X765 = X767
| ron(X768,X769)
| ron(X768,X770)
| X769 = X770
| vangle(X766,X765,X767) = vplus(vangle(X766,X765,X768),vangle(X768,X765,X767))
| ~ rS(X766,X768,X770)
| ~ rS(X767,X768,X769) )
& ( ~ rpoint(X776)
| X765 != X776
| ~ rpoint(X775)
| X766 != X775
| ~ rpoint(X774)
| X767 != X774
| ~ rpoint(X773)
| X768 != X773
| ~ rline(X772)
| X769 != X772
| ~ rline(X771)
| X770 != X771
| ~ ron(X765,X769)
| ~ ron(X765,X770)
| ~ ron(X766,X769)
| ~ ron(X767,X770)
| X765 = X766
| X765 = X767
| ron(X768,X769)
| ron(X768,X770)
| X769 = X770
| vangle(X766,X765,X767) != vplus(vangle(X766,X765,X768),vangle(X768,X765,X767))
| rS(X766,X768,X770) )
& ( ~ rpoint(X776)
| X765 != X776
| ~ rpoint(X775)
| X766 != X775
| ~ rpoint(X774)
| X767 != X774
| ~ rpoint(X773)
| X768 != X773
| ~ rline(X772)
| X769 != X772
| ~ rline(X771)
| X770 != X771
| ~ ron(X765,X769)
| ~ ron(X765,X770)
| ~ ron(X766,X769)
| ~ ron(X767,X770)
| X765 = X766
| X765 = X767
| ron(X768,X769)
| ron(X768,X770)
| X769 = X770
| vangle(X766,X765,X767) != vplus(vangle(X766,X765,X768),vangle(X768,X765,X767))
| rS(X767,X768,X769) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])]) ).
cnf(c_0_44,plain,
vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(split_conjunct,[status(thm)],['holds(307, 1243, 0)']) ).
cnf(c_0_45,plain,
vangle(vd1186,vd1185,vd1187) = vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_46,plain,
( ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X3 != X5
| ~ rpoint(X4)
| X2 != X4
| vangle(X1,X3,X2) = vangle(X2,X3,X1)
| X1 = X3
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
vd1187 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
vd1185 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,plain,
rpoint(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,plain,
vd1201 = esk7_0,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_53,plain,
! [X78,X79,X80,X81] :
( ( ? [X83] :
( rpoint(X83)
& X78 = X83 )
& ? [X82] :
( rpoint(X82)
& X79 = X82 )
& rline(X81)
& X80 = X81
& rS(X78,X79,X80) )
=> ~ ron(X78,X80) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).
fof(c_0_54,plain,
! [X846,X847] :
( vplus(X846,v0) = X846
| ~ rreal(X847)
| X846 != X847 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])])]) ).
fof(c_0_55,plain,
! [X842,X843,X844,X845] :
( vplus(X842,X844) = vplus(X844,X842)
| ~ rreal(X843)
| X842 != X843
| ~ rreal(X845)
| X844 != X845 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])])]) ).
cnf(c_0_56,plain,
( ~ rreal(X4)
| X3 != X4
| ~ rreal(X2)
| X1 != X2
| rless(X1,X3)
| X3 = X1
| rless(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_57,plain,
rreal(vd684),
inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).
cnf(c_0_58,plain,
v0 = vd684,
inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).
cnf(c_0_59,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| rreal(esk10_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_60,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| vf(X1,X2) = esk10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_61,plain,
! [X177,X178] :
( ( rreal(X178)
& X177 = X178 )
=> ~ rless(X177,X177) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).
fof(c_0_62,plain,
! [X941,X942,X943,X944,X945,X946] :
( rless(vplus(X941,X945),vplus(X943,X945))
| ~ rreal(X942)
| X941 != X942
| ~ rreal(X944)
| X943 != X944
| ~ rreal(X946)
| X945 != X946
| ~ rless(X941,X943) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])])]) ).
cnf(c_0_63,plain,
( ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X8)
| X6 != X8
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X4,X3)
| ~ ron(X1,X6)
| ~ ron(X5,X3)
| vangle(X1,X4,X5) != vplus(vangle(X1,X4,X2),vangle(X2,X4,X5))
| X4 = X1
| X4 = X5
| ron(X2,X6)
| ron(X2,X3)
| X6 = X3
| rS(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_64,plain,
vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_65,plain,
( ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X1 = X3
| X1 = X2
| vangle(X1,X2,X3) = vangle(X3,X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])])]) ).
cnf(c_0_66,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_67,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_68,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_69,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_70,plain,
vd1186 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_71,plain,
~ rS(vd1186,vd1201,vd1232),
inference(fof_simplification,[status(thm)],['neg(298)']) ).
fof(c_0_72,plain,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).
fof(c_0_73,plain,
! [X848,X849,X850,X851,X852,X853] :
( ~ ron(X848,X850)
| ~ rpoint(X853)
| X848 != X853
| ~ rpoint(X852)
| X849 != X852
| ~ rline(X851)
| X850 != X851
| ~ rS(X848,X849,X850) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
cnf(c_0_74,plain,
( ~ rreal(X2)
| X1 != X2
| vplus(X1,v0) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_75,plain,
( ~ rreal(X4)
| X3 != X4
| ~ rreal(X2)
| X1 != X2
| vplus(X3,X1) = vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_76,plain,
! [X777,X778,X779,X780] :
( ( ~ rpoint(X780)
| X777 != X780
| ~ rpoint(X779)
| X778 != X779
| vf(X777,X778) = v0
| X777 != X778 )
& ( ~ rpoint(X780)
| X777 != X780
| ~ rpoint(X779)
| X778 != X779
| X777 = X778
| vf(X777,X778) != v0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_77,plain,
( ~ rreal(X1)
| ~ rreal(X2)
| rless(X1,X2)
| rless(X2,X1)
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_56])]) ).
cnf(c_0_78,plain,
rreal(v0),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_79,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| rreal(esk10_2(X1,X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_59])]) ).
cnf(c_0_80,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| esk10_2(X1,X2) = vf(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_60])]) ).
fof(c_0_81,plain,
! [X953,X954] :
( ~ rless(X953,X953)
| ~ rreal(X954)
| X953 != X954 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
cnf(c_0_82,plain,
( ~ rreal(X6)
| X1 != X6
| ~ rreal(X5)
| X2 != X5
| ~ rreal(X4)
| X3 != X4
| ~ rless(X1,X2)
| rless(vplus(X1,X3),vplus(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_83,plain,
( ~ ron(X5,X4)
| ~ ron(X1,X3)
| ~ ron(X1,X4)
| ~ ron(X2,X3)
| ~ rline(X3)
| ~ rline(X4)
| ~ rpoint(X6)
| ~ rpoint(X2)
| ~ rpoint(X5)
| ~ rpoint(X1)
| vplus(vangle(X5,X1,X6),vangle(X6,X1,X2)) != vangle(X5,X1,X2)
| ron(X6,X3)
| ron(X6,X4)
| rS(X5,X6,X3)
| X5 = X1
| X3 = X4
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_63])])])])])]) ).
cnf(c_0_84,plain,
( vd1187 = vd1201
| vd1187 = vd1185
| vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) = vangle(vd1186,vd1185,vd1201) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]),c_0_68])]) ).
cnf(c_0_85,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_86,plain,
~ rS(vd1186,vd1201,vd1232),
inference(fof_nnf,[status(thm)],[c_0_71]) ).
fof(c_0_87,plain,
~ ron(vd1201,vd1232),
inference(fof_nnf,[status(thm)],[c_0_72]) ).
cnf(c_0_88,plain,
( ~ ron(X1,X3)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rline(X4)
| X3 != X4
| ~ rS(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_89,plain,
( ~ rreal(X1)
| vplus(X1,v0) = X1 ),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_90,plain,
( ~ rreal(X1)
| ~ rreal(X2)
| vplus(X1,X2) = vplus(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_75])]) ).
cnf(c_0_91,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| X1 != X2
| vf(X1,X2) = v0 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_92,plain,
( ~ rreal(X1)
| rless(X1,v0)
| rless(v0,X1)
| X1 = v0 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_93,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| rreal(vf(X1,X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_94,plain,
( ~ rless(X1,X1)
| ~ rreal(X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_95,plain,
( ~ rless(X1,X3)
| ~ rreal(X2)
| ~ rreal(X3)
| ~ rreal(X1)
| rless(vplus(X1,X2),vplus(X3,X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_82])])]) ).
cnf(c_0_96,plain,
( ~ ron(vd1186,X2)
| ~ ron(vd1185,X1)
| ~ ron(vd1185,X2)
| ~ ron(vd1187,X1)
| ~ rline(X1)
| ~ rline(X2)
| ron(vd1201,X1)
| ron(vd1201,X2)
| rS(vd1186,vd1201,X1)
| X1 = X2
| vd1186 = vd1185
| vd1187 = vd1185
| vd1187 = vd1201 ),
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_83,c_0_84]),c_0_45]),c_0_67]),c_0_85]),c_0_66]),c_0_68])]) ).
cnf(c_0_97,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(s2(plural(293)), 0)']) ).
cnf(c_0_98,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).
cnf(c_0_99,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).
cnf(c_0_100,plain,
~ rS(vd1186,vd1201,vd1232),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_101,plain,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_102,plain,
ron(vd1200,vd1197),
inference(split_conjunct,[status(thm)],['pred(s2(plural(274)), 0)']) ).
cnf(c_0_103,plain,
( ~ ron(X1,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rS(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_88])])]) ).
cnf(c_0_104,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).
cnf(c_0_105,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
fof(c_0_106,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).
cnf(c_0_107,plain,
( ~ rreal(X1)
| vplus(v0,X1) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_78])]) ).
cnf(c_0_108,plain,
( ~ rpoint(X1)
| vf(X1,X1) = v0 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_91])])]) ).
cnf(c_0_109,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| rless(v0,vf(X1,X2))
| rless(vf(X1,X2),v0)
| vf(X1,X2) = v0 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_110,plain,
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_111,plain,
( ~ rless(X1,X2)
| ~ rreal(X2)
| ~ rreal(X1)
| rless(vplus(X1,v0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_89]),c_0_78])]) ).
cnf(c_0_112,plain,
( ~ ron(vd1186,X1)
| ~ ron(vd1185,X1)
| ~ rline(X1)
| ron(vd1201,X1)
| vd1232 = X1
| vd1187 = vd1201
| vd1187 = vd1185
| vd1186 = vd1185 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_99])]),c_0_100]),c_0_101]) ).
cnf(c_0_113,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_114,plain,
ron(vd1186,vd1197),
inference(rw,[status(thm)],[c_0_102,c_0_36]) ).
cnf(c_0_115,plain,
~ ron(vd1201,vd1197),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_68]),c_0_66]),c_0_105])]) ).
fof(c_0_116,plain,
~ ron(vd1187,vd1197),
inference(fof_nnf,[status(thm)],[c_0_106]) ).
cnf(c_0_117,plain,
( ~ rpoint(X1)
| ~ rreal(X2)
| vplus(vf(X1,X1),X2) = X2 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_118,plain,
( ~ rpoint(X1)
| rreal(vf(X1,X1)) ),
inference(spm,[status(thm)],[c_0_78,c_0_108]) ).
cnf(c_0_119,plain,
( ~ rpoint(X1)
| rless(vf(vd1185,X1),v0)
| rless(v0,vf(vd1185,X1))
| vf(vd1185,X1) = v0 ),
inference(spm,[status(thm)],[c_0_109,c_0_67]) ).
cnf(c_0_120,plain,
( ~ rless(X1,vplus(X1,v0))
| ~ rreal(X1)
| ~ rreal(vplus(X1,v0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_121,plain,
vf(vd1178,vd1180) = vf(vd1199,vd1201),
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)']) ).
cnf(c_0_122,plain,
vf(vd1178,vd1180) = vf(vd1185,vd1187),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_123,plain,
( vd1186 = vd1185
| vd1187 = vd1185
| vd1187 = vd1201
| vd1232 = vd1197 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_105]),c_0_114])]),c_0_115]) ).
cnf(c_0_124,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_125,plain,
( ~ rless(X1,X2)
| ~ rreal(X2)
| ~ rreal(X1)
| rless(X1,vplus(X2,v0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_89]),c_0_78])]) ).
cnf(c_0_126,plain,
( ~ rpoint(X2)
| ~ rless(vf(X2,X2),X1)
| ~ rreal(X1)
| rless(v0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_117]),c_0_78])]),c_0_118]) ).
cnf(c_0_127,plain,
( rless(v0,vf(vd1185,vd1185))
| rless(vf(vd1185,vd1185),v0)
| vf(vd1185,vd1185) = v0 ),
inference(spm,[status(thm)],[c_0_119,c_0_67]) ).
cnf(c_0_128,plain,
~ rless(v0,v0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_107]),c_0_78])]) ).
cnf(c_0_129,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| vf(X1,X2) != v0
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_130,plain,
vf(vd1185,vd1187) = vf(vd1185,vd1201),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_37]) ).
cnf(c_0_131,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_132,plain,
vd1178 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_133,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_134,plain,
vd1180 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_135,plain,
rS(vd1200,vd1187,vd1234),
inference(split_conjunct,[status(thm)],['holds(306, 1242, 0)']) ).
cnf(c_0_136,plain,
( vd1187 = vd1201
| vd1187 = vd1185
| vd1186 = vd1185 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_123]),c_0_124]) ).
cnf(c_0_137,plain,
( ~ rpoint(X2)
| ~ rless(X1,vf(X2,X2))
| ~ rreal(X1)
| rless(X1,v0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_117]),c_0_78])]),c_0_118]) ).
cnf(c_0_138,plain,
( rless(v0,vf(vd1185,vd1185))
| vf(vd1185,vd1185) = v0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_78]),c_0_67])]),c_0_128]) ).
cnf(c_0_139,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| vf(X1,X2) != v0
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_129])]) ).
cnf(c_0_140,plain,
vf(vd1178,vd1180) = vf(vd1185,vd1201),
inference(rw,[status(thm)],[c_0_122,c_0_130]) ).
cnf(c_0_141,plain,
rpoint(vd1178),
inference(rw,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_142,plain,
rpoint(vd1180),
inference(rw,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_143,plain,
vd1178 != vd1180,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_144,plain,
rS(vd1186,vd1187,vd1234),
inference(rw,[status(thm)],[c_0_135,c_0_36]) ).
cnf(c_0_145,plain,
rline(vd1234),
inference(split_conjunct,[status(thm)],['pred(294, 0)']) ).
cnf(c_0_146,plain,
( vd1186 = vd1185
| vd1187 = vd1185 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_136]),c_0_101]) ).
cnf(c_0_147,plain,
vf(vd1185,vd1185) = v0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_78]),c_0_67])]),c_0_128]) ).
cnf(c_0_148,plain,
vf(vd1185,vd1201) != v0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_142])]),c_0_143]) ).
cnf(c_0_149,plain,
~ ron(vd1186,vd1234),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_144]),c_0_85]),c_0_66]),c_0_145])]) ).
cnf(c_0_150,plain,
vd1186 = vd1185,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_146]),c_0_147]),c_0_148]) ).
cnf(c_0_151,plain,
ron(vd1185,vd1234),
inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']) ).
cnf(c_0_152,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_151])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO296+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 15:17:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 88.79/13.35 % Version: 3.5.1
% 88.79/13.35 % Preprocessing class: FSLSSMSMSSSNFFN.
% 88.79/13.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 88.79/13.35 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 88.79/13.35 % Starting new_bool_3 with 300s (1) cores
% 88.79/13.35 % Starting new_bool_1 with 300s (1) cores
% 88.79/13.35 % Starting sh5l with 300s (1) cores
% 88.79/13.35 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 879668 completed with status 0
% 88.79/13.35 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 88.79/13.35 % Preprocessing class: FSLSSMSMSSSNFFN.
% 88.79/13.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 88.79/13.35 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 88.79/13.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 88.79/13.35 % No SInE strategy applied
% 88.79/13.35 % Search class: FGHSF-FSLM33-SFFFFFNN
% 88.79/13.35 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 88.79/13.35 % Starting SubtermCWHack with 136s (1) cores
% 88.79/13.35 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 88.79/13.35 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 88.79/13.35 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 88.79/13.35 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 88.79/13.35 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 879676 completed with status 0
% 88.79/13.35 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 88.79/13.35 % Preprocessing class: FSLSSMSMSSSNFFN.
% 88.79/13.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 88.79/13.35 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 88.79/13.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 88.79/13.35 % No SInE strategy applied
% 88.79/13.35 % Search class: FGHSF-FSLM33-SFFFFFNN
% 88.79/13.35 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 88.79/13.35 % Starting SubtermCWHack with 136s (1) cores
% 88.79/13.35 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 88.79/13.35 % Preprocessing time : 0.016 s
% 88.79/13.35 % Presaturation interreduction done
% 88.79/13.35
% 88.79/13.35 % Proof found!
% 88.79/13.35 % SZS status ContradictoryAxioms
% 88.79/13.35 % SZS output start CNFRefutation
% See solution above
% 88.79/13.35 % Parsed axioms : 154
% 88.79/13.35 % Removed by relevancy pruning/SinE : 0
% 88.79/13.35 % Initial clauses : 321
% 88.79/13.35 % Removed in clause preprocessing : 2
% 88.79/13.35 % Initial clauses in saturation : 319
% 88.79/13.35 % Processed clauses : 30712
% 88.79/13.35 % ...of these trivial : 88
% 88.79/13.35 % ...subsumed : 23788
% 88.79/13.35 % ...remaining for further processing : 6836
% 88.79/13.35 % Other redundant clauses eliminated : 1139
% 88.79/13.35 % Clauses deleted for lack of memory : 0
% 88.79/13.35 % Backward-subsumed : 659
% 88.79/13.35 % Backward-rewritten : 1107
% 88.79/13.35 % Generated clauses : 163001
% 88.79/13.35 % ...of the previous two non-redundant : 151718
% 88.79/13.35 % ...aggressively subsumed : 0
% 88.79/13.35 % Contextual simplify-reflections : 1492
% 88.79/13.35 % Paramodulations : 162683
% 88.79/13.35 % Factorizations : 1
% 88.79/13.35 % NegExts : 0
% 88.79/13.35 % Equation resolutions : 1192
% 88.79/13.35 % Disequality decompositions : 0
% 88.79/13.35 % Total rewrite steps : 147867
% 88.79/13.35 % ...of those cached : 147786
% 88.79/13.35 % Propositional unsat checks : 1
% 88.79/13.35 % Propositional check models : 0
% 88.79/13.35 % Propositional check unsatisfiable : 0
% 88.79/13.35 % Propositional clauses : 0
% 88.79/13.35 % Propositional clauses after purity: 0
% 88.79/13.35 % Propositional unsat core size : 0
% 88.79/13.35 % Propositional preprocessing time : 0.000
% 88.79/13.35 % Propositional encoding time : 0.216
% 88.79/13.35 % Propositional solver time : 0.087
% 88.79/13.35 % Success case prop preproc time : 0.000
% 88.79/13.35 % Success case prop encoding time : 0.000
% 88.79/13.35 % Success case prop solver time : 0.000
% 88.79/13.35 % Current number of processed clauses : 4524
% 88.79/13.35 % Positive orientable unit clauses : 62
% 88.79/13.35 % Positive unorientable unit clauses: 0
% 88.79/13.35 % Negative unit clauses : 19
% 88.79/13.35 % Non-unit-clauses : 4443
% 88.79/13.35 % Current number of unprocessed clauses: 118097
% 88.79/13.35 % ...number of literals in the above : 1463900
% 88.79/13.35 % Current number of archived formulas : 0
% 88.79/13.35 % Current number of archived clauses : 2066
% 88.79/13.35 % Clause-clause subsumption calls (NU) : 7015431
% 88.79/13.35 % Rec. Clause-clause subsumption calls : 575860
% 88.79/13.35 % Non-unit clause-clause subsumptions : 22392
% 88.79/13.35 % Unit Clause-clause subsumption calls : 24570
% 88.79/13.35 % Rewrite failures with RHS unbound : 0
% 88.79/13.35 % BW rewrite match attempts : 22
% 88.79/13.35 % BW rewrite match successes : 19
% 88.79/13.35 % Condensation attempts : 0
% 88.79/13.35 % Condensation successes : 0
% 88.79/13.35 % Termbank termtop insertions : 6676391
% 88.79/13.35 % Search garbage collected termcells : 14334
% 88.79/13.35
% 88.79/13.35 % -------------------------------------------------
% 88.79/13.35 % User time : 12.494 s
% 88.79/13.35 % System time : 0.193 s
% 88.79/13.35 % Total time : 12.687 s
% 88.79/13.35 % Maximum resident set size: 6296 pages
% 88.79/13.35
% 88.79/13.35 % -------------------------------------------------
% 88.79/13.35 % User time : 61.728 s
% 88.79/13.35 % System time : 1.242 s
% 88.79/13.35 % Total time : 62.970 s
% 88.79/13.35 % Maximum resident set size: 5632 pages
% 88.79/13.35 % E exiting
%------------------------------------------------------------------------------