%------------------------------------------------------------------------------
% File : E---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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:07 PM UTC 2026
% Result : ContradictoryAxioms 61.69s 9.43s
% Output : CNFRefutation 61.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 87 ( 60 unt; 0 def)
% Number of atoms : 407 ( 183 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 490 ( 170 ~; 180 |; 132 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-3 aty)
% Number of variables : 127 ( 0 sgn 51 !; 37 ?)
% 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('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('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('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(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_22,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_23,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_24,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_25,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(309, 1245, 1)']) ).
cnf(c_0_26,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).
cnf(c_0_27,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).
fof(c_0_28,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_22])])])]) ).
fof(c_0_29,plain,
( rpoint(esk7_0)
& vd1201 = esk7_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
fof(c_0_30,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_23])])])])]) ).
fof(c_0_31,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_24])])])])]) ).
cnf(c_0_32,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_33,plain,
vangle(vd1186,vd1185,vd1187) = vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_34,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_28]) ).
cnf(c_0_35,plain,
rpoint(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
vd1201 = esk7_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
vd1185 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
vd1187 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_41,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)))']) ).
cnf(c_0_42,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_31]) ).
cnf(c_0_43,plain,
vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1187,vd1185,vd1201)) = vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,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_34])])]) ).
cnf(c_0_45,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_49,plain,
vd1186 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_50,plain,
~ rS(vd1186,vd1201,vd1232),
inference(fof_simplification,[status(thm)],['neg(298)']) ).
fof(c_0_51,plain,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).
fof(c_0_52,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_41])])])]) ).
cnf(c_0_53,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_42])])])])])]) ).
cnf(c_0_54,plain,
( vd1187 = vd1201
| vd1201 = 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_43,c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_55,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_56,plain,
~ rS(vd1186,vd1201,vd1232),
inference(fof_nnf,[status(thm)],[c_0_50]) ).
fof(c_0_57,plain,
~ ron(vd1201,vd1232),
inference(fof_nnf,[status(thm)],[c_0_51]) ).
cnf(c_0_58,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_52]) ).
cnf(c_0_59,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
| vd1201 = 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_53,c_0_54]),c_0_33]),c_0_46]),c_0_55]),c_0_47]),c_0_45])]) ).
cnf(c_0_60,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(s2(plural(293)), 0)']) ).
cnf(c_0_61,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).
cnf(c_0_62,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).
cnf(c_0_63,plain,
~ rS(vd1186,vd1201,vd1232),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,plain,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_65,plain,
ron(vd1200,vd1197),
inference(split_conjunct,[status(thm)],['pred(s2(plural(274)), 0)']) ).
cnf(c_0_66,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_58])])]) ).
cnf(c_0_67,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).
cnf(c_0_68,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
fof(c_0_69,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).
cnf(c_0_70,plain,
( ~ ron(vd1186,X1)
| ~ ron(vd1185,X1)
| ~ rline(X1)
| ron(vd1201,X1)
| vd1232 = X1
| vd1187 = vd1201
| vd1201 = vd1185
| 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_59,c_0_60]),c_0_61]),c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_71,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_72,plain,
ron(vd1186,vd1197),
inference(rw,[status(thm)],[c_0_65,c_0_26]) ).
cnf(c_0_73,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_66,c_0_67]),c_0_45]),c_0_47]),c_0_68])]) ).
fof(c_0_74,plain,
~ ron(vd1187,vd1197),
inference(fof_nnf,[status(thm)],[c_0_69]) ).
cnf(c_0_75,plain,
( vd1186 = vd1185
| vd1187 = vd1185
| vd1201 = 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_70,c_0_71]),c_0_68]),c_0_72])]),c_0_73]) ).
cnf(c_0_76,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_77,plain,
( vd1187 = vd1201
| vd1201 = vd1185
| vd1187 = vd1185
| vd1186 = vd1185 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_75]),c_0_76]) ).
cnf(c_0_78,plain,
rS(vd1200,vd1187,vd1234),
inference(split_conjunct,[status(thm)],['holds(306, 1242, 0)']) ).
cnf(c_0_79,plain,
( vd1186 = vd1185
| vd1187 = vd1185
| vd1201 = vd1185 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_77]),c_0_64]) ).
cnf(c_0_80,plain,
rS(vd1186,vd1187,vd1234),
inference(rw,[status(thm)],[c_0_78,c_0_26]) ).
cnf(c_0_81,plain,
rline(vd1234),
inference(split_conjunct,[status(thm)],['pred(294, 0)']) ).
cnf(c_0_82,plain,
( vd1201 = vd1185
| vd1186 = vd1185 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_79]),c_0_71])]) ).
cnf(c_0_83,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_66,c_0_80]),c_0_55]),c_0_47]),c_0_81])]) ).
cnf(c_0_84,plain,
vd1186 = vd1185,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_82]),c_0_62])]) ).
cnf(c_0_85,plain,
ron(vd1185,vd1234),
inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']) ).
cnf(c_0_86,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_85])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO296+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 15:14:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 61.69/9.43 % Version: 3.5.1
% 61.69/9.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 61.69/9.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.69/9.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 61.69/9.43 % Starting new_bool_3 with 300s (1) cores
% 61.69/9.43 % Starting new_bool_1 with 300s (1) cores
% 61.69/9.43 % Starting sh5l with 300s (1) cores
% 61.69/9.43 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 91413 completed with status 0
% 61.69/9.43 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 61.69/9.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 61.69/9.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.69/9.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 61.69/9.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 61.69/9.43 % No SInE strategy applied
% 61.69/9.43 % Search class: FGHSF-FSLM33-SFFFFFNN
% 61.69/9.43 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 61.69/9.43 % Starting SubtermCWHack with 136s (1) cores
% 61.69/9.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 61.69/9.43 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 61.69/9.43 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 61.69/9.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 61.69/9.43 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 91421 completed with status 0
% 61.69/9.43 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 61.69/9.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 61.69/9.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.69/9.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 61.69/9.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 61.69/9.43 % No SInE strategy applied
% 61.69/9.43 % Search class: FGHSF-FSLM33-SFFFFFNN
% 61.69/9.43 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 61.69/9.43 % Starting SubtermCWHack with 136s (1) cores
% 61.69/9.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 61.69/9.43 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 61.69/9.43 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 61.69/9.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 61.69/9.43 % Preprocessing time : 0.009 s
% 61.69/9.43 % Presaturation interreduction done
% 61.69/9.43
% 61.69/9.43 % Proof found!
% 61.69/9.43 % SZS status ContradictoryAxioms
% 61.69/9.43 % SZS output start CNFRefutation
% See solution above
% 61.69/9.43 % Parsed axioms : 154
% 61.69/9.43 % Removed by relevancy pruning/SinE : 0
% 61.69/9.43 % Initial clauses : 321
% 61.69/9.43 % Removed in clause preprocessing : 2
% 61.69/9.43 % Initial clauses in saturation : 319
% 61.69/9.43 % Processed clauses : 19192
% 61.69/9.43 % ...of these trivial : 419
% 61.69/9.43 % ...subsumed : 7615
% 61.69/9.43 % ...remaining for further processing : 11158
% 61.69/9.43 % Other redundant clauses eliminated : 1127
% 61.69/9.43 % Clauses deleted for lack of memory : 0
% 61.69/9.43 % Backward-subsumed : 750
% 61.69/9.43 % Backward-rewritten : 1320
% 61.69/9.43 % Generated clauses : 373376
% 61.69/9.43 % ...of the previous two non-redundant : 288123
% 61.69/9.43 % ...aggressively subsumed : 0
% 61.69/9.43 % Contextual simplify-reflections : 441
% 61.69/9.43 % Paramodulations : 372324
% 61.69/9.43 % Factorizations : 795
% 61.69/9.43 % NegExts : 0
% 61.69/9.43 % Equation resolutions : 1132
% 61.69/9.43 % Disequality decompositions : 0
% 61.69/9.43 % Total rewrite steps : 683616
% 61.69/9.43 % ...of those cached : 682268
% 61.69/9.43 % Propositional unsat checks : 2
% 61.69/9.43 % Propositional check models : 0
% 61.69/9.43 % Propositional check unsatisfiable : 0
% 61.69/9.43 % Propositional clauses : 0
% 61.69/9.43 % Propositional clauses after purity: 0
% 61.69/9.43 % Propositional unsat core size : 0
% 61.69/9.43 % Propositional preprocessing time : 0.000
% 61.69/9.43 % Propositional encoding time : 0.284
% 61.69/9.43 % Propositional solver time : 0.259
% 61.69/9.43 % Success case prop preproc time : 0.000
% 61.69/9.43 % Success case prop encoding time : 0.000
% 61.69/9.43 % Success case prop solver time : 0.000
% 61.69/9.43 % Current number of processed clauses : 8542
% 61.69/9.43 % Positive orientable unit clauses : 1558
% 61.69/9.43 % Positive unorientable unit clauses: 0
% 61.69/9.43 % Negative unit clauses : 196
% 61.69/9.43 % Non-unit-clauses : 6788
% 61.69/9.43 % Current number of unprocessed clauses: 268436
% 61.69/9.43 % ...number of literals in the above : 1886573
% 61.69/9.43 % Current number of archived formulas : 0
% 61.69/9.43 % Current number of archived clauses : 2370
% 61.69/9.43 % Clause-clause subsumption calls (NU) : 7946715
% 61.69/9.43 % Rec. Clause-clause subsumption calls : 1839739
% 61.69/9.43 % Non-unit clause-clause subsumptions : 8222
% 61.69/9.43 % Unit Clause-clause subsumption calls : 990653
% 61.69/9.43 % Rewrite failures with RHS unbound : 0
% 61.69/9.43 % BW rewrite match attempts : 53074
% 61.69/9.43 % BW rewrite match successes : 194
% 61.69/9.43 % Condensation attempts : 0
% 61.69/9.43 % Condensation successes : 0
% 61.69/9.43 % Termbank termtop insertions : 18418719
% 61.69/9.43 % Search garbage collected termcells : 14334
% 61.69/9.43
% 61.69/9.43 % -------------------------------------------------
% 61.69/9.43 % User time : 8.558 s
% 61.69/9.43 % System time : 0.250 s
% 61.69/9.43 % Total time : 8.808 s
% 61.69/9.43 % Maximum resident set size: 6296 pages
% 61.69/9.43
% 61.69/9.43 % -------------------------------------------------
% 61.69/9.43 % User time : 42.967 s
% 61.69/9.43 % System time : 0.880 s
% 61.69/9.43 % Total time : 43.847 s
% 61.69/9.43 % Maximum resident set size: 5632 pages
% 61.69/9.43 % E exiting
%------------------------------------------------------------------------------