%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO287+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 : n008.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 12:28:06 PM UTC 2026
% Result : Theorem 39.14s 6.84s
% Output : CNFRefutation 39.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 53 ( 34 unt; 0 def)
% Number of atoms : 410 ( 239 equ)
% Maximal formula atoms : 80 ( 7 avg)
% Number of connectives : 571 ( 214 ~; 250 |; 105 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-6 aty)
% Number of variables : 138 ( 0 sgn 25 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(proof(267), 0), 2)',axiom,
! [X8,X9,X10,X11,X12,X13] :
( ( ? [X20] :
( rpoint(X20)
& X8 = X20 )
& ? [X19] :
( rpoint(X19)
& X9 = X19 )
& ? [X18] :
( rpoint(X18)
& X10 = X18 )
& X8 != X9
& X8 != X10
& X9 != X10
& ? [X17] :
( rpoint(X17)
& X11 = X17 )
& ? [X16] :
( rpoint(X16)
& X12 = X16 )
& ? [X15] :
( rpoint(X15)
& X13 = X15 )
& vf(X8,X9) = vf(X11,X12)
& vf(X8,X10) = vf(X11,X13)
& vangle(X9,X8,X10) = vangle(X12,X11,X13)
& ~ ? [X14] :
( rline(X14)
& ron(X11,X14)
& ron(X12,X14)
& ron(X13,X14) ) )
=> vf(X12,X13) = vf(X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 2)') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))',axiom,
( ? [X7] :
( rpoint(X7)
& vd1156 = X7 )
& ? [X6] :
( rpoint(X6)
& vd1157 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1158 = X5 )
& vd1156 != vd1157
& vd1156 != vd1158
& vd1157 != vd1158
& ? [X4] :
( rpoint(X4)
& vd1163 = X4 )
& ? [X3] :
( rpoint(X3)
& vd1164 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1165 = X2 )
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ~ ? [X1] :
( rline(X1)
& ron(vd1163,X1)
& ron(vd1164,X1)
& ron(vd1165,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))') ).
fof('holds(conjunct1(266), 1175, 0)',conjecture,
vf(vd1157,vd1158) = vf(vd1164,vd1165),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(266), 1175, 0)') ).
fof(c_0_3,plain,
! [X8,X9,X10,X11,X12,X13] :
( ( ? [X20] :
( rpoint(X20)
& X8 = X20 )
& ? [X19] :
( rpoint(X19)
& X9 = X19 )
& ? [X18] :
( rpoint(X18)
& X10 = X18 )
& X8 != X9
& X8 != X10
& X9 != X10
& ? [X17] :
( rpoint(X17)
& X11 = X17 )
& ? [X16] :
( rpoint(X16)
& X12 = X16 )
& ? [X15] :
( rpoint(X15)
& X13 = X15 )
& vf(X8,X9) = vf(X11,X12)
& vf(X8,X10) = vf(X11,X13)
& vangle(X9,X8,X10) = vangle(X12,X11,X13)
& ~ ? [X14] :
( rline(X14)
& ron(X11,X14)
& ron(X12,X14)
& ron(X13,X14) ) )
=> vf(X12,X13) = vf(X9,X10) ),
inference(fof_simplification,[status(thm)],['ass(cond(proof(267), 0), 2)']) ).
fof(c_0_4,plain,
( ? [X7] :
( rpoint(X7)
& vd1156 = X7 )
& ? [X6] :
( rpoint(X6)
& vd1157 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1158 = X5 )
& vd1156 != vd1157
& vd1156 != vd1158
& vd1157 != vd1158
& ? [X4] :
( rpoint(X4)
& vd1163 = X4 )
& ? [X3] :
( rpoint(X3)
& vd1164 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1165 = X2 )
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ~ ? [X1] :
( rline(X1)
& ron(vd1163,X1)
& ron(vd1164,X1)
& ron(vd1165,X1) ) ),
inference(fof_simplification,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))']) ).
fof(c_0_5,plain,
! [X804,X805,X806,X807,X808,X809,X811,X812,X813,X814,X815,X816] :
( ( vf(X808,X809) = vf(X805,X806)
| ~ rpoint(X816)
| X804 != X816
| ~ rpoint(X815)
| X805 != X815
| ~ rpoint(X814)
| X806 != X814
| X804 = X805
| X804 = X806
| X805 = X806
| ~ rpoint(X813)
| X807 != X813
| ~ rpoint(X812)
| X808 != X812
| ~ rpoint(X811)
| X809 != X811
| vf(X804,X805) != vf(X807,X808)
| vf(X804,X806) != vf(X807,X809)
| vangle(X805,X804,X806) != vangle(X808,X807,X809)
| rline(esk9_6(X804,X805,X806,X807,X808,X809)) )
& ( vf(X808,X809) = vf(X805,X806)
| ~ rpoint(X816)
| X804 != X816
| ~ rpoint(X815)
| X805 != X815
| ~ rpoint(X814)
| X806 != X814
| X804 = X805
| X804 = X806
| X805 = X806
| ~ rpoint(X813)
| X807 != X813
| ~ rpoint(X812)
| X808 != X812
| ~ rpoint(X811)
| X809 != X811
| vf(X804,X805) != vf(X807,X808)
| vf(X804,X806) != vf(X807,X809)
| vangle(X805,X804,X806) != vangle(X808,X807,X809)
| ron(X807,esk9_6(X804,X805,X806,X807,X808,X809)) )
& ( vf(X808,X809) = vf(X805,X806)
| ~ rpoint(X816)
| X804 != X816
| ~ rpoint(X815)
| X805 != X815
| ~ rpoint(X814)
| X806 != X814
| X804 = X805
| X804 = X806
| X805 = X806
| ~ rpoint(X813)
| X807 != X813
| ~ rpoint(X812)
| X808 != X812
| ~ rpoint(X811)
| X809 != X811
| vf(X804,X805) != vf(X807,X808)
| vf(X804,X806) != vf(X807,X809)
| vangle(X805,X804,X806) != vangle(X808,X807,X809)
| ron(X808,esk9_6(X804,X805,X806,X807,X808,X809)) )
& ( vf(X808,X809) = vf(X805,X806)
| ~ rpoint(X816)
| X804 != X816
| ~ rpoint(X815)
| X805 != X815
| ~ rpoint(X814)
| X806 != X814
| X804 = X805
| X804 = X806
| X805 = X806
| ~ rpoint(X813)
| X807 != X813
| ~ rpoint(X812)
| X808 != X812
| ~ rpoint(X811)
| X809 != X811
| vf(X804,X805) != vf(X807,X808)
| vf(X804,X806) != vf(X807,X809)
| vangle(X805,X804,X806) != vangle(X808,X807,X809)
| ron(X809,esk9_6(X804,X805,X806,X807,X808,X809)) ) ),
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)],[c_0_3])])])])])]) ).
fof(c_0_6,plain,
! [X771] :
( rpoint(esk6_0)
& vd1156 = esk6_0
& rpoint(esk5_0)
& vd1157 = esk5_0
& rpoint(esk4_0)
& vd1158 = esk4_0
& vd1156 != vd1157
& vd1156 != vd1158
& vd1157 != vd1158
& rpoint(esk3_0)
& vd1163 = esk3_0
& rpoint(esk2_0)
& vd1164 = esk2_0
& rpoint(esk1_0)
& vd1165 = esk1_0
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ( ~ rline(X771)
| ~ ron(vd1163,X771)
| ~ ron(vd1164,X771)
| ~ ron(vd1165,X771) ) ),
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_4])])])])]) ).
fof(c_0_7,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(assume_negation,[status(cth)],['holds(conjunct1(266), 1175, 0)']) ).
cnf(c_0_8,plain,
( ~ rpoint(X12)
| X2 != X12
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X9)
| X5 != X9
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X7)
| X6 != X7
| vf(X2,X3) != vf(X5,X1)
| vf(X2,X4) != vf(X5,X6)
| vangle(X3,X2,X4) != vangle(X1,X5,X6)
| vf(X1,X6) = vf(X3,X4)
| X2 = X3
| X2 = X4
| X3 = X4
| ron(X1,esk9_6(X2,X3,X4,X5,X1,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
vd1163 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
vd1164 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
vd1165 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_15,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( ~ rpoint(X12)
| X1 != X12
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X8)
| X5 != X8
| ~ rpoint(X7)
| X6 != X7
| vf(X1,X2) != vf(X4,X5)
| vf(X1,X3) != vf(X4,X6)
| vangle(X2,X1,X3) != vangle(X5,X4,X6)
| vf(X5,X6) = vf(X2,X3)
| X1 = X2
| X1 = X3
| X2 = X3
| rline(esk9_6(X1,X2,X3,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( ~ rpoint(X12)
| X2 != X12
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X9)
| X5 != X9
| ~ rpoint(X8)
| X6 != X8
| ~ rpoint(X7)
| X1 != X7
| vf(X2,X3) != vf(X5,X6)
| vf(X2,X4) != vf(X5,X1)
| vangle(X3,X2,X4) != vangle(X6,X5,X1)
| vf(X6,X1) = vf(X3,X4)
| X2 = X3
| X2 = X4
| X3 = X4
| ron(X1,esk9_6(X2,X3,X4,X5,X6,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( ~ rpoint(X12)
| X2 != X12
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X5 != X8
| ~ rpoint(X7)
| X6 != X7
| vf(X2,X3) != vf(X1,X5)
| vf(X2,X4) != vf(X1,X6)
| vangle(X3,X2,X4) != vangle(X5,X1,X6)
| vf(X5,X6) = vf(X3,X4)
| X2 = X3
| X2 = X4
| X3 = X4
| ron(X1,esk9_6(X2,X3,X4,X1,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X6)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X5)
| vf(X5,X3) != vf(X6,X1)
| vf(X5,X4) != vf(X6,X2)
| vangle(X1,X6,X2) != vangle(X3,X5,X4)
| ron(X1,esk9_6(X5,X3,X4,X6,X1,X2))
| X5 = X3
| X5 = X4
| X3 = X4
| vf(X1,X2) = vf(X3,X4) ),
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_8])])])])])]) ).
cnf(c_0_20,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,plain,
rpoint(vd1163),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_24,plain,
rpoint(vd1164),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_25,plain,
rpoint(vd1165),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_26,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,plain,
vd1156 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,plain,
vd1157 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,plain,
vd1158 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_32,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(fof_nnf,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
( ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X6)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X5)
| vf(X5,X1) != vf(X6,X3)
| vf(X5,X2) != vf(X6,X4)
| vangle(X1,X5,X2) != vangle(X3,X6,X4)
| rline(esk9_6(X5,X1,X2,X6,X3,X4))
| X5 = X1
| X5 = X2
| X1 = X2
| vf(X1,X2) = vf(X3,X4) ),
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_16])])])])])]) ).
cnf(c_0_34,plain,
( ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X6)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X5)
| vf(X5,X1) != vf(X6,X3)
| vf(X5,X2) != vf(X6,X4)
| vangle(X1,X5,X2) != vangle(X3,X6,X4)
| ron(X4,esk9_6(X5,X1,X2,X6,X3,X4))
| X5 = X1
| X5 = X2
| X1 = X2
| vf(X1,X2) = vf(X3,X4) ),
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_17])])])])])]) ).
cnf(c_0_35,plain,
( ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X6)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X5)
| vf(X6,X3) != vf(X5,X1)
| vf(X6,X4) != vf(X5,X2)
| vangle(X1,X5,X2) != vangle(X3,X6,X4)
| ron(X6,esk9_6(X5,X1,X2,X6,X3,X4))
| X5 = X1
| X5 = X2
| X1 = X2
| vf(X1,X2) = vf(X3,X4) ),
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_18])])])])])]) ).
cnf(c_0_36,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| vf(X3,X1) != vf(vd1156,vd1157)
| vf(X3,X2) != vf(vd1156,vd1158)
| vangle(vd1157,vd1156,vd1158) != vangle(X1,X3,X2)
| ron(vd1164,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
| X3 = X1
| X3 = X2
| X1 = X2
| vf(vd1164,vd1165) = vf(X1,X2) ),
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_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_37,plain,
rpoint(vd1156),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_38,plain,
rpoint(vd1157),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
rpoint(vd1158),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
vd1157 != vd1158,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_42,plain,
vd1156 != vd1158,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_43,plain,
vd1156 != vd1157,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| vf(X3,X1) != vf(vd1156,vd1157)
| vf(X3,X2) != vf(vd1156,vd1158)
| vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
| rline(esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
| X3 = X1
| X3 = X2
| X1 = X2
| vf(X1,X2) = vf(vd1164,vd1165) ),
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_33,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_45,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| vf(X3,X1) != vf(vd1156,vd1157)
| vf(X3,X2) != vf(vd1156,vd1158)
| vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
| ron(vd1165,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
| X3 = X1
| X3 = X2
| X1 = X2
| vf(X1,X2) = vf(vd1164,vd1165) ),
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_34,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_46,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| vf(vd1156,vd1157) != vf(X3,X1)
| vf(vd1156,vd1158) != vf(X3,X2)
| vangle(X1,X3,X2) != vangle(vd1157,vd1156,vd1158)
| ron(vd1163,esk9_6(X3,X1,X2,vd1163,vd1164,vd1165))
| X3 = X1
| X3 = X2
| X1 = X2
| vf(X1,X2) = vf(vd1164,vd1165) ),
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_35,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_47,plain,
( ~ rline(X1)
| ~ ron(vd1163,X1)
| ~ ron(vd1164,X1)
| ~ ron(vd1165,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_48,plain,
ron(vd1164,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_49,plain,
rline(esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_44]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_50,plain,
ron(vd1165,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_51,plain,
ron(vd1163,esk9_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_46]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_52,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO287+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n008.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 15:08:09 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.55 Running first-order theorem proving
% 0.23/0.55 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
% 39.14/6.84 % Version: 3.5.1
% 39.14/6.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 39.14/6.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.14/6.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 39.14/6.84 % Starting new_bool_3 with 300s (1) cores
% 39.14/6.84 % Starting new_bool_1 with 300s (1) cores
% 39.14/6.84 % Starting sh5l with 300s (1) cores
% 39.14/6.84 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3118753 completed with status 0
% 39.14/6.84 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 39.14/6.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 39.14/6.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.14/6.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 39.14/6.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 39.14/6.84 % No SInE strategy applied
% 39.14/6.84 % Search class: FGHSF-FMLM33-SFFFFFNN
% 39.14/6.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 39.14/6.84 % Starting SubtermCWHack with 136s (1) cores
% 39.14/6.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 39.14/6.84 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 39.14/6.84 % Starting new_bool_3 with 136s (1) cores
% 39.14/6.84 % Starting new_bool_1 with 136s (1) cores
% 39.14/6.84 % new_bool_1 with pid 3118763 completed with status 0
% 39.14/6.84 % Result found by new_bool_1
% 39.14/6.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 39.14/6.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.14/6.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 39.14/6.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 39.14/6.84 % No SInE strategy applied
% 39.14/6.84 % Search class: FGHSF-FMLM33-SFFFFFNN
% 39.14/6.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 39.14/6.84 % Starting SubtermCWHack with 136s (1) cores
% 39.14/6.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 39.14/6.84 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 39.14/6.84 % Starting new_bool_3 with 136s (1) cores
% 39.14/6.84 % Starting new_bool_1 with 136s (1) cores
% 39.14/6.84 % Preprocessing time : 0.073 s
% 39.14/6.84 % Presaturation interreduction done
% 39.14/6.84
% 39.14/6.84 % Proof found!
% 39.14/6.84 % SZS status Theorem
% 39.14/6.84 % SZS output start CNFRefutation
% See solution above
% 39.14/6.85 % Parsed axioms : 155
% 39.14/6.85 % Removed by relevancy pruning/SinE : 0
% 39.14/6.85 % Initial clauses : 448
% 39.14/6.85 % Removed in clause preprocessing : 22
% 39.14/6.85 % Initial clauses in saturation : 426
% 39.14/6.85 % Processed clauses : 7421
% 39.14/6.85 % ...of these trivial : 33
% 39.14/6.85 % ...subsumed : 3789
% 39.14/6.85 % ...remaining for further processing : 3599
% 39.14/6.85 % Other redundant clauses eliminated : 2535
% 39.14/6.85 % Clauses deleted for lack of memory : 0
% 39.14/6.85 % Backward-subsumed : 208
% 39.14/6.85 % Backward-rewritten : 4
% 39.14/6.85 % Generated clauses : 66987
% 39.14/6.85 % ...of the previous two non-redundant : 66402
% 39.14/6.85 % ...aggressively subsumed : 0
% 39.14/6.85 % Contextual simplify-reflections : 689
% 39.14/6.85 % Paramodulations : 66481
% 39.14/6.85 % Factorizations : 30
% 39.14/6.85 % NegExts : 0
% 39.14/6.85 % Equation resolutions : 2607
% 39.14/6.85 % Disequality decompositions : 0
% 39.14/6.85 % Total rewrite steps : 22394
% 39.14/6.85 % ...of those cached : 22358
% 39.14/6.85 % Propositional unsat checks : 0
% 39.14/6.85 % Propositional check models : 0
% 39.14/6.85 % Propositional check unsatisfiable : 0
% 39.14/6.85 % Propositional clauses : 0
% 39.14/6.85 % Propositional clauses after purity: 0
% 39.14/6.85 % Propositional unsat core size : 0
% 39.14/6.85 % Propositional preprocessing time : 0.000
% 39.14/6.85 % Propositional encoding time : 0.000
% 39.14/6.85 % Propositional solver time : 0.000
% 39.14/6.85 % Success case prop preproc time : 0.000
% 39.14/6.85 % Success case prop encoding time : 0.000
% 39.14/6.85 % Success case prop solver time : 0.000
% 39.14/6.85 % Current number of processed clauses : 2565
% 39.14/6.85 % Positive orientable unit clauses : 41
% 39.14/6.85 % Positive unorientable unit clauses: 0
% 39.14/6.85 % Negative unit clauses : 8
% 39.14/6.85 % Non-unit-clauses : 2516
% 39.14/6.85 % Current number of unprocessed clauses: 59434
% 39.14/6.85 % ...number of literals in the above : 643023
% 39.14/6.85 % Current number of archived formulas : 0
% 39.14/6.85 % Current number of archived clauses : 636
% 39.14/6.85 % Clause-clause subsumption calls (NU) : 3085325
% 39.14/6.85 % Rec. Clause-clause subsumption calls : 177940
% 39.14/6.85 % Non-unit clause-clause subsumptions : 4674
% 39.14/6.85 % Unit Clause-clause subsumption calls : 4963
% 39.14/6.85 % Rewrite failures with RHS unbound : 0
% 39.14/6.85 % BW rewrite match attempts : 7
% 39.14/6.85 % BW rewrite match successes : 3
% 39.14/6.85 % Condensation attempts : 0
% 39.14/6.85 % Condensation successes : 0
% 39.14/6.85 % Termbank termtop insertions : 2991210
% 39.14/6.85 % Search garbage collected termcells : 29386
% 39.14/6.85
% 39.14/6.85 % -------------------------------------------------
% 39.14/6.85 % User time : 5.570 s
% 39.14/6.85 % System time : 0.118 s
% 39.14/6.85 % Total time : 5.688 s
% 39.14/6.85 % Maximum resident set size: 8104 pages
% 39.14/6.85
% 39.14/6.85 % -------------------------------------------------
% 39.14/6.85 % User time : 27.341 s
% 39.14/6.85 % System time : 0.506 s
% 39.14/6.85 % Total time : 27.847 s
% 39.14/6.85 % Maximum resident set size: 5888 pages
% 39.14/6.85 % E exiting
%------------------------------------------------------------------------------