%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO306+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 : n013.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 12:28:08 PM UTC 2026
% Result : Theorem 0.16s 5.77s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 27 unt; 0 def)
% Number of atoms : 376 ( 168 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 495 ( 185 ~; 167 |; 133 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-8 aty)
% Number of variables : 183 ( 0 sgn 101 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(goal(238), 0), 1)',axiom,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( rpoint(X14)
& X13 = X14
& rpoint(X16)
& X15 = X16
& rpoint(X18)
& X17 = X18
& rpoint(X20)
& X19 = X20
& X13 != X15
& X17 != X19
& rless(vf(X17,X19),vf(X13,X15)) )
=> rR(vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20),X13,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
( ? [X4] :
( rpoint(X4)
& vd1287 = X4 )
& ? [X3] :
( rpoint(X3)
& vd1288 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
& vd1287 != vd1288
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof('ass(cond(goal(238), 0), 2)',axiom,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( rpoint(X14)
& X13 = X14
& rpoint(X16)
& X15 = X16
& rpoint(X18)
& X17 = X18
& rpoint(X20)
& X19 = X20
& X13 != X15
& X17 != X19
& rless(vf(X17,X19),vf(X13,X15)) )
=> rpoint(vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X163,X164,X165] :
( ( ? [X168] :
( rpoint(X168)
& X163 = X168 )
& ? [X167] :
( rpoint(X167)
& X164 = X167 )
& ? [X166] :
( rpoint(X166)
& X165 = X166 )
& rR(X164,X163,X165) )
=> ( rR(X164,X165,X163)
& X163 != X164
& X163 != X165
& ~ rR(X163,X164,X165) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))',axiom,
! [X380,X381,X382,X383] :
( ( ? [X387] :
( rpoint(X387)
& X380 = X387 )
& ? [X386] :
( rpoint(X386)
& X381 = X386 )
& ? [X385] :
( rpoint(X385)
& X382 = X385 )
& ? [X384] :
( rpoint(X384)
& X383 = X384 )
& rR(X381,X380,X382)
& rR(X381,X380,X383) )
=> ~ rR(X381,X382,X383) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof('ass(cond(goal(238), 0), 0)',axiom,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( rpoint(X14)
& X13 = X14
& rpoint(X16)
& X15 = X16
& rpoint(X18)
& X17 = X18
& rpoint(X20)
& X19 = X20
& X13 != X15
& X17 != X19
& rless(vf(X17,X19),vf(X13,X15)) )
=> vf(X13,vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20)) = vf(X17,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof('qe(352)',conjecture,
? [X1] :
( rpoint(X1)
& rR(X1,vd1287,vd1302)
& vf(vd1287,vd1299) = vf(vd1287,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(352)') ).
fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof('pred(348, 1)',axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof('pred(348, 4)',axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof('holds(351, 1305, 0)',axiom,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(351, 1305, 0)') ).
fof(c_0_11,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( rpoint(X14)
& X13 = X14
& rpoint(X16)
& X15 = X16
& rpoint(X18)
& X17 = X18
& rpoint(X20)
& X19 = X20
& X13 != X15
& X17 != X19
& rless(vf(X17,X19),vf(X13,X15)) )
=> rR(vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20),X13,X15) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 1)']) ).
fof(c_0_12,plain,
( ? [X4] :
( rpoint(X4)
& vd1287 = X4 )
& ? [X3] :
( rpoint(X3)
& vd1288 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
& vd1287 != vd1288
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(fof_simplification,[status(thm)],['and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))']) ).
fof(c_0_13,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( rpoint(X14)
& X13 = X14
& rpoint(X16)
& X15 = X16
& rpoint(X18)
& X17 = X18
& rpoint(X20)
& X19 = X20
& X13 != X15
& X17 != X19
& rless(vf(X17,X19),vf(X13,X15)) )
=> rpoint(vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20)) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 2)']) ).
fof(c_0_14,plain,
! [X163,X164,X165] :
( ( ? [X168] :
( rpoint(X168)
& X163 = X168 )
& ? [X167] :
( rpoint(X167)
& X164 = X167 )
& ? [X166] :
( rpoint(X166)
& X165 = X166 )
& rR(X164,X163,X165) )
=> ( rR(X164,X165,X163)
& X163 != X164
& X163 != X165
& ~ rR(X163,X164,X165) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
fof(c_0_15,plain,
! [X782,X783,X784,X785,X786,X787,X788,X789] :
( rR(vskolem1120(X782,X783,X784,X785,X786,X787,X788,X789),X782,X784)
| ~ rpoint(X783)
| X782 != X783
| ~ rpoint(X785)
| X784 != X785
| ~ rpoint(X787)
| X786 != X787
| ~ rpoint(X789)
| X788 != X789
| X782 = X784
| X786 = X788
| ~ rless(vf(X786,X788),vf(X782,X784)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,plain,
( rpoint(esk3_0)
& vd1287 = esk3_0
& rpoint(esk2_0)
& vd1288 = esk2_0
& rpoint(esk1_0)
& vd1289 = esk1_0
& vd1287 != vd1288
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X790,X791,X792,X793,X794,X795,X796,X797] :
( rpoint(vskolem1120(X790,X791,X792,X793,X794,X795,X796,X797))
| ~ rpoint(X791)
| X790 != X791
| ~ rpoint(X793)
| X792 != X793
| ~ rpoint(X795)
| X794 != X795
| ~ rpoint(X797)
| X796 != X797
| X790 = X792
| X794 = X796
| ~ rless(vf(X794,X796),vf(X790,X792)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_18,plain,
! [X380,X381,X382,X383] :
( ( ? [X387] :
( rpoint(X387)
& X380 = X387 )
& ? [X386] :
( rpoint(X386)
& X381 = X386 )
& ? [X385] :
( rpoint(X385)
& X382 = X385 )
& ? [X384] :
( rpoint(X384)
& X383 = X384 )
& rR(X381,X380,X382)
& rR(X381,X380,X383) )
=> ~ rR(X381,X382,X383) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))']) ).
fof(c_0_19,plain,
! [X980,X981,X982,X983,X984,X985] :
( ( ~ rpoint(X985)
| X980 != X985
| ~ rpoint(X984)
| X981 != X984
| ~ rpoint(X983)
| X982 != X983
| ~ rR(X981,X980,X982)
| rR(X981,X982,X980) )
& ( ~ rpoint(X985)
| X980 != X985
| ~ rpoint(X984)
| X981 != X984
| ~ rpoint(X983)
| X982 != X983
| ~ rR(X981,X980,X982)
| X980 != X981 )
& ( ~ rpoint(X985)
| X980 != X985
| ~ rpoint(X984)
| X981 != X984
| ~ rpoint(X983)
| X982 != X983
| ~ rR(X981,X980,X982)
| X980 != X982 )
& ( ~ rpoint(X985)
| X980 != X985
| ~ rpoint(X984)
| X981 != X984
| ~ rpoint(X983)
| X982 != X983
| ~ rR(X981,X980,X982)
| ~ rR(X980,X981,X982) ) ),
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_14])])])])]) ).
fof(c_0_20,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( rpoint(X14)
& X13 = X14
& rpoint(X16)
& X15 = X16
& rpoint(X18)
& X17 = X18
& rpoint(X20)
& X19 = X20
& X13 != X15
& X17 != X19
& rless(vf(X17,X19),vf(X13,X15)) )
=> vf(X13,vskolem1120(X13,X14,X15,X16,X17,X18,X19,X20)) = vf(X17,X19) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 0)']) ).
fof(c_0_21,negated_conjecture,
~ ? [X1] :
( rpoint(X1)
& rR(X1,vd1287,vd1302)
& vf(vd1287,vd1299) = vf(vd1287,X1) ),
inference(assume_negation,[status(cth)],['qe(352)']) ).
cnf(c_0_22,plain,
( ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X7)
| X4 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rless(vf(X1,X2),vf(X3,X4))
| rR(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5),X3,X4)
| X3 = X4
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
vd1287 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
rpoint(vd1303),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_26,plain,
vd1302 = vd1303,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_27,plain,
rpoint(vd1300),
inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).
cnf(c_0_28,plain,
vd1299 = vd1300,
inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).
cnf(c_0_29,plain,
( ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X7)
| X4 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rless(vf(X1,X2),vf(X3,X4))
| rpoint(vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5))
| X3 = X4
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_30,plain,
! [X1197,X1198,X1199,X1200,X1201,X1202,X1203,X1204] :
( ~ rR(X1198,X1199,X1200)
| ~ rpoint(X1204)
| X1197 != X1204
| ~ rpoint(X1203)
| X1198 != X1203
| ~ rpoint(X1202)
| X1199 != X1202
| ~ rpoint(X1201)
| X1200 != X1201
| ~ rR(X1198,X1197,X1199)
| ~ rR(X1198,X1197,X1200) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_31,plain,
( ~ rpoint(X6)
| X3 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X2 != X4
| ~ rR(X1,X3,X2)
| rR(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,plain,
vd1288 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_34,plain,
! [X774,X775,X776,X777,X778,X779,X780,X781] :
( vf(X774,vskolem1120(X774,X775,X776,X777,X778,X779,X780,X781)) = vf(X778,X780)
| ~ rpoint(X775)
| X774 != X775
| ~ rpoint(X777)
| X776 != X777
| ~ rpoint(X779)
| X778 != X779
| ~ rpoint(X781)
| X780 != X781
| X774 = X776
| X778 = X780
| ~ rless(vf(X778,X780),vf(X774,X776)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_35,negated_conjecture,
! [X762] :
( ~ rpoint(X762)
| ~ rR(X762,vd1287,vd1302)
| vf(vd1287,vd1299) != vf(vd1287,X762) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_36,plain,
( ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rless(vf(X3,X4),vf(X1,X2))
| rR(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4),X1,X2)
| X3 = X4
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_37,plain,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
inference(split_conjunct,[status(thm)],['holds(351, 1305, 0)']) ).
cnf(c_0_38,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_39,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_40,plain,
rpoint(vd1299),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_41,plain,
( ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rless(vf(X3,X4),vf(X1,X2))
| rpoint(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))
| X3 = X4
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])])])]) ).
cnf(c_0_42,plain,
( ~ rR(X1,X4,X3)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X6)
| X4 != X6
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X1,X2,X4)
| ~ rR(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,plain,
( ~ rR(X1,X3,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| rR(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])])]) ).
cnf(c_0_44,plain,
rR(vd1288,vd1287,vd1299),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_45,plain,
rpoint(vd1288),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_46,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_47,plain,
vd1289 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_48,plain,
( ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X7)
| X4 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rless(vf(X1,X2),vf(X3,X4))
| vf(X3,vskolem1120(X3,X8,X4,X7,X1,X6,X2,X5)) = vf(X1,X2)
| X3 = X4
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_49,negated_conjecture,
( ~ rpoint(X1)
| ~ rR(X1,vd1287,vd1302)
| vf(vd1287,vd1299) != vf(vd1287,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_50,plain,
( rR(vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299),vd1287,vd1302)
| vd1299 = vd1287
| vd1302 = vd1287 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_51,plain,
( rpoint(vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299))
| vd1299 = vd1287
| vd1302 = vd1287 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_37]),c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_52,plain,
( ~ rR(X2,X1,X4)
| ~ rR(X2,X1,X3)
| ~ rR(X2,X3,X4)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_42])])])]) ).
cnf(c_0_53,plain,
rR(vd1288,vd1299,vd1287),
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_38]),c_0_45]),c_0_40])]) ).
cnf(c_0_54,plain,
rR(vd1289,vd1287,vd1302),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_55,plain,
rpoint(vd1289),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
( ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rless(vf(X3,X4),vf(X1,X2))
| X3 = X4
| X1 = X2
| vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4)) = vf(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])])])]) ).
cnf(c_0_57,negated_conjecture,
( vf(vd1287,vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299)) != vf(vd1287,vd1299)
| vd1302 = vd1287
| vd1299 = vd1287 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_58,plain,
( ~ rR(vd1288,X1,vd1287)
| ~ rR(vd1288,X1,vd1299)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_45]),c_0_40]),c_0_38])]) ).
cnf(c_0_59,plain,
rR(vd1289,vd1302,vd1287),
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_54]),c_0_38]),c_0_55]),c_0_39])]) ).
cnf(c_0_60,plain,
( vd1299 = vd1287
| vd1302 = vd1287 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_57]) ).
cnf(c_0_61,plain,
~ rR(vd1288,vd1287,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_44]),c_0_38])]) ).
cnf(c_0_62,plain,
( ~ rR(vd1289,X1,vd1287)
| ~ rR(vd1289,X1,vd1302)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_59]),c_0_55]),c_0_39]),c_0_38])]) ).
cnf(c_0_63,plain,
vd1302 = vd1287,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_60]),c_0_61]) ).
cnf(c_0_64,plain,
~ rR(vd1289,vd1287,vd1287),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_54]),c_0_38])]) ).
cnf(c_0_65,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_63]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO306+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.39 % Computer : n013.cluster.edu
% 0.13/5.39 % Model : x86_64 x86_64
% 0.13/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39 % Memory : 8046.5625MB
% 0.13/5.39 % OS : Linux 6.8.0-71-generic
% 0.13/5.39 % CPULimit : 300
% 0.13/5.39 % WCLimit : 300
% 0.13/5.39 % DateTime : Sun Sep 20 15:19:41 UTC 2026
% 0.13/5.39 % CPUTime :
% 0.13/5.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.44 Running first-order theorem proving
% 0.16/5.44 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
% 0.16/5.77 % Version: 3.5.1
% 0.16/5.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.77 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.77 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.77 % Starting sh5l with 300s (1) cores
% 0.16/5.77 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2948842 completed with status 0
% 0.16/5.77 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/5.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.77 % No SInE strategy applied
% 0.16/5.77 % Search class: FGHSF-FSLM33-SFFFFFNN
% 0.16/5.77 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.77 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/5.77 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.16/5.77 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.16/5.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.16/5.77 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 2948853 completed with status 0
% 0.16/5.77 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.16/5.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.77 % No SInE strategy applied
% 0.16/5.77 % Search class: FGHSF-FSLM33-SFFFFFNN
% 0.16/5.77 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.77 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/5.77 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.16/5.77 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 0.16/5.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.16/5.77 % Preprocessing time : 0.016 s
% 0.16/5.77 % Presaturation interreduction done
% 0.16/5.77
% 0.16/5.77 % Proof found!
% 0.16/5.77 % SZS status Theorem
% 0.16/5.77 % SZS output start CNFRefutation
% See solution above
% 0.16/5.77 % Parsed axioms : 127
% 0.16/5.77 % Removed by relevancy pruning/SinE : 0
% 0.16/5.77 % Initial clauses : 294
% 0.16/5.77 % Removed in clause preprocessing : 2
% 0.16/5.77 % Initial clauses in saturation : 292
% 0.16/5.77 % Processed clauses : 993
% 0.16/5.77 % ...of these trivial : 6
% 0.16/5.77 % ...subsumed : 76
% 0.16/5.77 % ...remaining for further processing : 911
% 0.16/5.77 % Other redundant clauses eliminated : 1195
% 0.16/5.77 % Clauses deleted for lack of memory : 0
% 0.16/5.77 % Backward-subsumed : 18
% 0.16/5.77 % Backward-rewritten : 56
% 0.16/5.77 % Generated clauses : 1239
% 0.16/5.77 % ...of the previous two non-redundant : 1211
% 0.16/5.77 % ...aggressively subsumed : 0
% 0.16/5.77 % Contextual simplify-reflections : 14
% 0.16/5.77 % Paramodulations : 976
% 0.16/5.77 % Factorizations : 2
% 0.16/5.77 % NegExts : 0
% 0.16/5.77 % Equation resolutions : 1196
% 0.16/5.77 % Disequality decompositions : 0
% 0.16/5.77 % Total rewrite steps : 1157
% 0.16/5.77 % ...of those cached : 1114
% 0.16/5.77 % Propositional unsat checks : 0
% 0.16/5.77 % Propositional check models : 0
% 0.16/5.77 % Propositional check unsatisfiable : 0
% 0.16/5.77 % Propositional clauses : 0
% 0.16/5.77 % Propositional clauses after purity: 0
% 0.16/5.77 % Propositional unsat core size : 0
% 0.16/5.77 % Propositional preprocessing time : 0.000
% 0.16/5.77 % Propositional encoding time : 0.000
% 0.16/5.77 % Propositional solver time : 0.000
% 0.16/5.77 % Success case prop preproc time : 0.000
% 0.16/5.77 % Success case prop encoding time : 0.000
% 0.16/5.77 % Success case prop solver time : 0.000
% 0.16/5.77 % Current number of processed clauses : 289
% 0.16/5.77 % Positive orientable unit clauses : 48
% 0.16/5.77 % Positive unorientable unit clauses: 0
% 0.16/5.77 % Negative unit clauses : 14
% 0.16/5.77 % Non-unit-clauses : 227
% 0.16/5.77 % Current number of unprocessed clauses: 755
% 0.16/5.77 % ...number of literals in the above : 4947
% 0.16/5.77 % Current number of archived formulas : 0
% 0.16/5.77 % Current number of archived clauses : 364
% 0.16/5.77 % Clause-clause subsumption calls (NU) : 316190
% 0.16/5.77 % Rec. Clause-clause subsumption calls : 6810
% 0.16/5.77 % Non-unit clause-clause subsumptions : 78
% 0.16/5.77 % Unit Clause-clause subsumption calls : 443
% 0.16/5.77 % Rewrite failures with RHS unbound : 0
% 0.16/5.77 % BW rewrite match attempts : 20
% 0.16/5.77 % BW rewrite match successes : 8
% 0.16/5.77 % Condensation attempts : 0
% 0.16/5.77 % Condensation successes : 0
% 0.16/5.77 % Termbank termtop insertions : 94766
% 0.16/5.77 % Search garbage collected termcells : 15139
% 0.16/5.77
% 0.16/5.77 % -------------------------------------------------
% 0.16/5.77 % User time : 0.290 s
% 0.16/5.77 % System time : 0.013 s
% 0.16/5.77 % Total time : 0.303 s
% 0.16/5.77 % Maximum resident set size: 6548 pages
% 0.16/5.77
% 0.16/5.77 % -------------------------------------------------
% 0.16/5.77 % User time : 1.321 s
% 0.16/5.77 % System time : 0.048 s
% 0.16/5.77 % Total time : 1.369 s
% 0.16/5.77 % Maximum resident set size: 5632 pages
% 0.16/5.77 % E exiting
%------------------------------------------------------------------------------