%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO289+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 64.00s 10.17s
% Output : CNFRefutation 64.00s
% 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), 0)',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) ) )
=> vangle(X11,X13,X12) = vangle(X8,X10,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 0)') ).
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/sandbox2/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(conjunct2(conjunct2(266)), 1177, 0)',conjecture,
vangle(vd1156,vd1158,vd1157) = vangle(vd1163,vd1165,vd1164),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(266)), 1177, 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) ) )
=> vangle(X11,X13,X12) = vangle(X8,X10,X9) ),
inference(fof_simplification,[status(thm)],['ass(cond(proof(267), 0), 0)']) ).
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,
! [X778,X779,X780,X781,X782,X783,X785,X786,X787,X788,X789,X790] :
( ( vangle(X781,X783,X782) = vangle(X778,X780,X779)
| ~ rpoint(X790)
| X778 != X790
| ~ rpoint(X789)
| X779 != X789
| ~ rpoint(X788)
| X780 != X788
| X778 = X779
| X778 = X780
| X779 = X780
| ~ rpoint(X787)
| X781 != X787
| ~ rpoint(X786)
| X782 != X786
| ~ rpoint(X785)
| X783 != X785
| vf(X778,X779) != vf(X781,X782)
| vf(X778,X780) != vf(X781,X783)
| vangle(X779,X778,X780) != vangle(X782,X781,X783)
| rline(esk7_6(X778,X779,X780,X781,X782,X783)) )
& ( vangle(X781,X783,X782) = vangle(X778,X780,X779)
| ~ rpoint(X790)
| X778 != X790
| ~ rpoint(X789)
| X779 != X789
| ~ rpoint(X788)
| X780 != X788
| X778 = X779
| X778 = X780
| X779 = X780
| ~ rpoint(X787)
| X781 != X787
| ~ rpoint(X786)
| X782 != X786
| ~ rpoint(X785)
| X783 != X785
| vf(X778,X779) != vf(X781,X782)
| vf(X778,X780) != vf(X781,X783)
| vangle(X779,X778,X780) != vangle(X782,X781,X783)
| ron(X781,esk7_6(X778,X779,X780,X781,X782,X783)) )
& ( vangle(X781,X783,X782) = vangle(X778,X780,X779)
| ~ rpoint(X790)
| X778 != X790
| ~ rpoint(X789)
| X779 != X789
| ~ rpoint(X788)
| X780 != X788
| X778 = X779
| X778 = X780
| X779 = X780
| ~ rpoint(X787)
| X781 != X787
| ~ rpoint(X786)
| X782 != X786
| ~ rpoint(X785)
| X783 != X785
| vf(X778,X779) != vf(X781,X782)
| vf(X778,X780) != vf(X781,X783)
| vangle(X779,X778,X780) != vangle(X782,X781,X783)
| ron(X782,esk7_6(X778,X779,X780,X781,X782,X783)) )
& ( vangle(X781,X783,X782) = vangle(X778,X780,X779)
| ~ rpoint(X790)
| X778 != X790
| ~ rpoint(X789)
| X779 != X789
| ~ rpoint(X788)
| X780 != X788
| X778 = X779
| X778 = X780
| X779 = X780
| ~ rpoint(X787)
| X781 != X787
| ~ rpoint(X786)
| X782 != X786
| ~ rpoint(X785)
| X783 != X785
| vf(X778,X779) != vf(X781,X782)
| vf(X778,X780) != vf(X781,X783)
| vangle(X779,X778,X780) != vangle(X782,X781,X783)
| ron(X783,esk7_6(X778,X779,X780,X781,X782,X783)) ) ),
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,
vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
inference(assume_negation,[status(cth)],['holds(conjunct2(conjunct2(266)), 1177, 0)']) ).
cnf(c_0_8,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)
| vangle(X1,X6,X5) = vangle(X2,X4,X3)
| X2 = X3
| X2 = X4
| X3 = X4
| ron(X1,esk7_6(X2,X3,X4,X1,X5,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,
vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
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)
| vangle(X4,X6,X5) = vangle(X1,X3,X2)
| X1 = X2
| X1 = X3
| X2 = X3
| rline(esk7_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)
| vangle(X5,X1,X6) = vangle(X2,X4,X3)
| X2 = X3
| X2 = X4
| X3 = X4
| ron(X1,esk7_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)
| 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)
| vangle(X5,X6,X1) = vangle(X2,X4,X3)
| X2 = X3
| X2 = X4
| X3 = X4
| ron(X1,esk7_6(X2,X3,X4,X5,X1,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
( ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X4)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| vangle(X6,X4,X5) != vangle(X3,X1,X2)
| ron(X1,esk7_6(X4,X6,X5,X1,X3,X2))
| X4 = X6
| X4 = X5
| X6 = X5
| vangle(X1,X2,X3) = vangle(X4,X5,X6) ),
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,
vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
inference(fof_nnf,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
( ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| vangle(X3,X1,X2) != vangle(X6,X4,X5)
| rline(esk7_6(X1,X3,X2,X4,X6,X5))
| X1 = X3
| X1 = X2
| X3 = X2
| vangle(X1,X2,X3) = vangle(X4,X5,X6) ),
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(X5)
| ~ rpoint(X6)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| vangle(X3,X1,X2) != vangle(X6,X4,X5)
| ron(X5,esk7_6(X1,X3,X2,X4,X6,X5))
| X1 = X3
| X1 = X2
| X3 = X2
| vangle(X1,X2,X3) = vangle(X4,X5,X6) ),
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(X5)
| ~ rpoint(X6)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| vangle(X6,X4,X5) != vangle(X3,X1,X2)
| ron(X6,esk7_6(X1,X3,X2,X4,X6,X5))
| X1 = X3
| X1 = X2
| X3 = X2
| vangle(X1,X2,X3) = vangle(X4,X5,X6) ),
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(X3)
| ~ rpoint(X1)
| vf(vd1156,vd1157) != vf(X1,X3)
| vf(vd1156,vd1158) != vf(X1,X2)
| vangle(X3,X1,X2) != vangle(vd1157,vd1156,vd1158)
| ron(vd1163,esk7_6(X1,X3,X2,vd1163,vd1164,vd1165))
| X1 = X3
| X1 = X2
| X3 = X2
| vangle(vd1163,vd1165,vd1164) = vangle(X1,X2,X3) ),
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,
vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
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(X3)
| ~ rpoint(X1)
| vf(X1,X3) != vf(vd1156,vd1157)
| vf(X1,X2) != vf(vd1156,vd1158)
| vangle(X3,X1,X2) != vangle(vd1157,vd1156,vd1158)
| rline(esk7_6(X1,X3,X2,vd1163,vd1164,vd1165))
| X1 = X3
| X1 = X2
| X3 = X2
| vangle(X1,X2,X3) = vangle(vd1163,vd1165,vd1164) ),
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(X3)
| ~ rpoint(X1)
| vf(X1,X3) != vf(vd1156,vd1157)
| vf(X1,X2) != vf(vd1156,vd1158)
| vangle(X3,X1,X2) != vangle(vd1157,vd1156,vd1158)
| ron(vd1165,esk7_6(X1,X3,X2,vd1163,vd1164,vd1165))
| X1 = X3
| X1 = X2
| X3 = X2
| vangle(X1,X2,X3) = vangle(vd1163,vd1165,vd1164) ),
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(X3)
| ~ rpoint(X1)
| vf(X1,X3) != vf(vd1156,vd1157)
| vf(X1,X2) != vf(vd1156,vd1158)
| vangle(vd1157,vd1156,vd1158) != vangle(X3,X1,X2)
| ron(vd1164,esk7_6(X1,X3,X2,vd1163,vd1164,vd1165))
| X1 = X3
| X1 = X2
| X3 = X2
| vangle(X1,X2,X3) = vangle(vd1163,vd1165,vd1164) ),
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(vd1163,esk7_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(esk7_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,esk7_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(vd1164,esk7_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 : GEO289+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.51 % Computer : n004.cluster.edu
% 0.20/0.51 % Model : x86_64 x86_64
% 0.20/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.51 % Memory : 8046.5625MB
% 0.20/0.51 % OS : Linux 6.8.0-71-generic
% 0.20/0.51 % CPULimit : 300
% 0.20/0.51 % WCLimit : 300
% 0.20/0.51 % DateTime : Sun Sep 20 15:10:04 UTC 2026
% 0.20/0.51 % CPUTime :
% 0.20/0.51 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.59 Running first-order theorem proving
% 0.24/0.59 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 64.00/10.17 % Version: 3.5.1
% 64.00/10.17 % Preprocessing class: FSLSSMSMSSSNFFN.
% 64.00/10.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.00/10.17 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 64.00/10.17 % Starting new_bool_3 with 300s (1) cores
% 64.00/10.17 % Starting new_bool_1 with 300s (1) cores
% 64.00/10.17 % Starting sh5l with 300s (1) cores
% 64.00/10.17 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 981646 completed with status 0
% 64.00/10.17 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 64.00/10.17 % Preprocessing class: FSLSSMSMSSSNFFN.
% 64.00/10.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.00/10.17 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 64.00/10.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 64.00/10.17 % No SInE strategy applied
% 64.00/10.17 % Search class: FGHSF-FMLM33-SFFFFFNN
% 64.00/10.17 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 64.00/10.17 % Starting SubtermCWHack with 136s (1) cores
% 64.00/10.17 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 64.00/10.17 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 64.00/10.17 % Starting new_bool_3 with 136s (1) cores
% 64.00/10.17 % Starting new_bool_1 with 136s (1) cores
% 64.00/10.17 % new_bool_1 with pid 981657 completed with status 0
% 64.00/10.17 % Result found by new_bool_1
% 64.00/10.17 % Preprocessing class: FSLSSMSMSSSNFFN.
% 64.00/10.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 64.00/10.17 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 64.00/10.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 64.00/10.17 % No SInE strategy applied
% 64.00/10.17 % Search class: FGHSF-FMLM33-SFFFFFNN
% 64.00/10.17 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 64.00/10.17 % Starting SubtermCWHack with 136s (1) cores
% 64.00/10.17 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 64.00/10.17 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 64.00/10.17 % Starting new_bool_3 with 136s (1) cores
% 64.00/10.17 % Starting new_bool_1 with 136s (1) cores
% 64.00/10.17 % Preprocessing time : 0.037 s
% 64.00/10.17 % Presaturation interreduction done
% 64.00/10.17
% 64.00/10.17 % Proof found!
% 64.00/10.17 % SZS status Theorem
% 64.00/10.17 % SZS output start CNFRefutation
% See solution above
% 64.00/10.17 % Parsed axioms : 157
% 64.00/10.17 % Removed by relevancy pruning/SinE : 0
% 64.00/10.17 % Initial clauses : 450
% 64.00/10.17 % Removed in clause preprocessing : 22
% 64.00/10.17 % Initial clauses in saturation : 428
% 64.00/10.17 % Processed clauses : 10545
% 64.00/10.17 % ...of these trivial : 97
% 64.00/10.17 % ...subsumed : 5329
% 64.00/10.17 % ...remaining for further processing : 5119
% 64.00/10.17 % Other redundant clauses eliminated : 2535
% 64.00/10.17 % Clauses deleted for lack of memory : 0
% 64.00/10.17 % Backward-subsumed : 174
% 64.00/10.17 % Backward-rewritten : 5
% 64.00/10.17 % Generated clauses : 147235
% 64.00/10.17 % ...of the previous two non-redundant : 145701
% 64.00/10.17 % ...aggressively subsumed : 0
% 64.00/10.17 % Contextual simplify-reflections : 1554
% 64.00/10.17 % Paramodulations : 146629
% 64.00/10.17 % Factorizations : 30
% 64.00/10.17 % NegExts : 0
% 64.00/10.17 % Equation resolutions : 2707
% 64.00/10.17 % Disequality decompositions : 0
% 64.00/10.17 % Total rewrite steps : 42599
% 64.00/10.17 % ...of those cached : 42549
% 64.00/10.17 % Propositional unsat checks : 1
% 64.00/10.17 % Propositional check models : 1
% 64.00/10.17 % Propositional check unsatisfiable : 0
% 64.00/10.17 % Propositional clauses : 0
% 64.00/10.17 % Propositional clauses after purity: 0
% 64.00/10.17 % Propositional unsat core size : 0
% 64.00/10.17 % Propositional preprocessing time : 0.000
% 64.00/10.17 % Propositional encoding time : 0.521
% 64.00/10.17 % Propositional solver time : 0.012
% 64.00/10.17 % Success case prop preproc time : 0.000
% 64.00/10.17 % Success case prop encoding time : 0.000
% 64.00/10.17 % Success case prop solver time : 0.000
% 64.00/10.17 % Current number of processed clauses : 4116
% 64.00/10.17 % Positive orientable unit clauses : 54
% 64.00/10.17 % Positive unorientable unit clauses: 0
% 64.00/10.17 % Negative unit clauses : 7
% 64.00/10.17 % Non-unit-clauses : 4055
% 64.00/10.17 % Current number of unprocessed clauses: 135482
% 64.00/10.17 % ...number of literals in the above : 1551304
% 64.00/10.17 % Current number of archived formulas : 0
% 64.00/10.17 % Current number of archived clauses : 605
% 64.00/10.17 % Clause-clause subsumption calls (NU) : 4532678
% 64.00/10.17 % Rec. Clause-clause subsumption calls : 291246
% 64.00/10.17 % Non-unit clause-clause subsumptions : 7032
% 64.00/10.17 % Unit Clause-clause subsumption calls : 10335
% 64.00/10.17 % Rewrite failures with RHS unbound : 0
% 64.00/10.17 % BW rewrite match attempts : 8
% 64.00/10.17 % BW rewrite match successes : 3
% 64.00/10.17 % Condensation attempts : 0
% 64.00/10.17 % Condensation successes : 0
% 64.00/10.17 % Termbank termtop insertions : 9485298
% 64.00/10.17 % Search garbage collected termcells : 29386
% 64.00/10.17
% 64.00/10.17 % -------------------------------------------------
% 64.00/10.17 % User time : 9.102 s
% 64.00/10.17 % System time : 0.231 s
% 64.00/10.17 % Total time : 9.333 s
% 64.00/10.17 % Maximum resident set size: 8156 pages
% 64.00/10.17
% 64.00/10.17 % -------------------------------------------------
% 64.00/10.17 % User time : 44.067 s
% 64.00/10.17 % System time : 0.885 s
% 64.00/10.17 % Total time : 44.952 s
% 64.00/10.17 % Maximum resident set size: 5888 pages
% 64.00/10.17 % E exiting
%------------------------------------------------------------------------------