%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO336+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 : n019.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 12:28:10 PM UTC 2026
% Result : Theorem 3.54s 1.02s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 88 ( 35 unt; 0 def)
% Number of atoms : 411 ( 191 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 538 ( 215 ~; 203 |; 108 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-8 aty)
% Number of variables : 220 ( 0 sgn 114 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(goal(238), 0), 1)',axiom,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( ( rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& rpoint(X9)
& X8 = X9
& X2 != X4
& X6 != X8
& rless(vf(X6,X8),vf(X2,X4)) )
=> rR(vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9),X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof('ass(cond(goal(238), 0), 2)',axiom,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( ( rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& rpoint(X9)
& X8 = X9
& X2 != X4
& X6 != X8
& rless(vf(X6,X8),vf(X2,X4)) )
=> rpoint(vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X87,X88,X89] :
( ( ? [X92] :
( rpoint(X92)
& X87 = X92 )
& ? [X91] :
( rpoint(X91)
& X88 = X91 )
& ? [X90] :
( rpoint(X90)
& X89 = X90 )
& rR(X88,X87,X89) )
=> ( rR(X88,X89,X87)
& X87 != X88
& X87 != X89
& ~ rR(X87,X88,X89) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('qe(s1(plural(386)))',axiom,
? [X184] :
( rpoint(X184)
& vd1361 = X184 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).
fof('qe(s3(plural(386)))',axiom,
? [X183] :
( rpoint(X183)
& vd1363 = X183 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).
fof('qe(s2(plural(386)))',axiom,
? [X24] :
( rpoint(X24)
& vd1362 = X24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).
fof('pred(386, 7)',axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 7)') ).
fof('pred(386, 8)',axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 8)') ).
fof('ass(cond(goal(238), 0), 0)',axiom,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( ( rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& rpoint(X9)
& X8 = X9
& X2 != X4
& X6 != X8
& rless(vf(X6,X8),vf(X2,X4)) )
=> vf(X2,vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9)) = vf(X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X213,X214,X215] :
( ( ? [X218] :
( rpoint(X218)
& X213 = X218 )
& ? [X217] :
( rpoint(X217)
& X214 = X217 )
& ? [X216] :
( rpoint(X216)
& X215 = X216 )
& rR(X214,X213,X215) )
=> vplus(vf(X213,X214),vf(X214,X215)) = vf(X213,X215) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('holds(395, 1377, 0)',axiom,
rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(395, 1377, 0)') ).
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
! [X136,X137] :
( ( ? [X139] :
( rpoint(X139)
& X136 = X139 )
& ? [X138] :
( rpoint(X138)
& X137 = X138 ) )
=> ? [X140] :
( rreal(X140)
& vf(X136,X137) = X140 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
! [X49,X50] :
( ( ? [X52] :
( rpoint(X52)
& X49 = X52 )
& ? [X51] :
( rpoint(X51)
& X50 = X51 ) )
=> vf(X49,X50) = vf(X50,X49) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
! [X153,X154,X155,X156] :
( ( rreal(X154)
& X153 = X154
& rreal(X156)
& X155 = X156 )
=> vplus(X153,X155) = vplus(X155,X153) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof('qe(396)',conjecture,
? [X1] :
( rpoint(X1)
& rR(X1,vd1361,vd1363)
& vf(vd1363,X1) = vf(vd1361,vd1362) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(396)') ).
fof(c_0_15,plain,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( ( rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& rpoint(X9)
& X8 = X9
& X2 != X4
& X6 != X8
& rless(vf(X6,X8),vf(X2,X4)) )
=> rR(vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9),X2,X4) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 1)']) ).
fof(c_0_16,plain,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( ( rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& rpoint(X9)
& X8 = X9
& X2 != X4
& X6 != X8
& rless(vf(X6,X8),vf(X2,X4)) )
=> rpoint(vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9)) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 2)']) ).
fof(c_0_17,plain,
! [X87,X88,X89] :
( ( ? [X92] :
( rpoint(X92)
& X87 = X92 )
& ? [X91] :
( rpoint(X91)
& X88 = X91 )
& ? [X90] :
( rpoint(X90)
& X89 = X90 )
& rR(X88,X87,X89) )
=> ( rR(X88,X89,X87)
& X87 != X88
& X87 != X89
& ~ rR(X87,X88,X89) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
fof(c_0_18,plain,
! [X781,X782,X783,X784,X785,X786,X787,X788] :
( rR(vskolem1120(X781,X782,X783,X784,X785,X786,X787,X788),X781,X783)
| ~ rpoint(X782)
| X781 != X782
| ~ rpoint(X784)
| X783 != X784
| ~ rpoint(X786)
| X785 != X786
| ~ rpoint(X788)
| X787 != X788
| X781 = X783
| X785 = X787
| ~ rless(vf(X785,X787),vf(X781,X783)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_19,plain,
( rpoint(esk11_0)
& vd1361 = esk11_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(386)))'])]) ).
fof(c_0_20,plain,
( rpoint(esk10_0)
& vd1363 = esk10_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(386)))'])]) ).
fof(c_0_21,plain,
( rpoint(esk1_0)
& vd1362 = esk1_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(386)))'])]) ).
fof(c_0_22,plain,
vd1361 != vd1362,
inference(fof_simplification,[status(thm)],['pred(386, 7)']) ).
fof(c_0_23,plain,
vd1361 != vd1363,
inference(fof_simplification,[status(thm)],['pred(386, 8)']) ).
fof(c_0_24,plain,
! [X789,X790,X791,X792,X793,X794,X795,X796] :
( rpoint(vskolem1120(X789,X790,X791,X792,X793,X794,X795,X796))
| ~ rpoint(X790)
| X789 != X790
| ~ rpoint(X792)
| X791 != X792
| ~ rpoint(X794)
| X793 != X794
| ~ rpoint(X796)
| X795 != X796
| X789 = X791
| X793 = X795
| ~ rless(vf(X793,X795),vf(X789,X791)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_25,plain,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( ( rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& rpoint(X9)
& X8 = X9
& X2 != X4
& X6 != X8
& rless(vf(X6,X8),vf(X2,X4)) )
=> vf(X2,vskolem1120(X2,X3,X4,X5,X6,X7,X8,X9)) = vf(X6,X8) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(238), 0), 0)']) ).
fof(c_0_26,plain,
! [X874,X875,X876,X877,X878,X879] :
( ( ~ rpoint(X879)
| X874 != X879
| ~ rpoint(X878)
| X875 != X878
| ~ rpoint(X877)
| X876 != X877
| ~ rR(X875,X874,X876)
| rR(X875,X876,X874) )
& ( ~ rpoint(X879)
| X874 != X879
| ~ rpoint(X878)
| X875 != X878
| ~ rpoint(X877)
| X876 != X877
| ~ rR(X875,X874,X876)
| X874 != X875 )
& ( ~ rpoint(X879)
| X874 != X879
| ~ rpoint(X878)
| X875 != X878
| ~ rpoint(X877)
| X876 != X877
| ~ rR(X875,X874,X876)
| X874 != X876 )
& ( ~ rpoint(X879)
| X874 != X879
| ~ rpoint(X878)
| X875 != X878
| ~ rpoint(X877)
| X876 != X877
| ~ rR(X875,X874,X876)
| ~ rR(X874,X875,X876) ) ),
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_17])])])])]) ).
cnf(c_0_27,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_18]) ).
cnf(c_0_28,plain,
rpoint(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
vd1361 = esk11_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
rpoint(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
vd1363 = esk10_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
vd1362 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_34,plain,
vd1361 != vd1362,
inference(fof_nnf,[status(thm)],[c_0_22]) ).
fof(c_0_35,plain,
vd1361 != vd1363,
inference(fof_nnf,[status(thm)],[c_0_23]) ).
cnf(c_0_36,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_24]) ).
fof(c_0_37,plain,
! [X1050,X1051,X1052,X1053,X1054,X1055] :
( vplus(vf(X1050,X1051),vf(X1051,X1052)) = vf(X1050,X1052)
| ~ rpoint(X1055)
| X1050 != X1055
| ~ rpoint(X1054)
| X1051 != X1054
| ~ rpoint(X1053)
| X1052 != X1053
| ~ rR(X1051,X1050,X1052) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])])]) ).
fof(c_0_38,plain,
! [X773,X774,X775,X776,X777,X778,X779,X780] :
( vf(X773,vskolem1120(X773,X774,X775,X776,X777,X778,X779,X780)) = vf(X777,X779)
| ~ rpoint(X774)
| X773 != X774
| ~ rpoint(X776)
| X775 != X776
| ~ rpoint(X778)
| X777 != X778
| ~ rpoint(X780)
| X779 != X780
| X773 = X775
| X777 = X779
| ~ rless(vf(X777,X779),vf(X773,X775)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
cnf(c_0_39,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_26]) ).
cnf(c_0_40,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_27])])])]) ).
cnf(c_0_41,plain,
rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
inference(split_conjunct,[status(thm)],['holds(395, 1377, 0)']) ).
cnf(c_0_42,plain,
rpoint(vd1361),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_43,plain,
rpoint(vd1363),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_44,plain,
rpoint(vd1362),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_45,plain,
vd1361 != vd1362,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
vd1361 != vd1363,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,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_36])])])]) ).
cnf(c_0_48,plain,
( ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X3 != X4
| ~ rR(X1,X2,X3)
| vplus(vf(X2,X1),vf(X1,X3)) = vf(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,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_38]) ).
fof(c_0_50,plain,
! [X955,X956,X957,X958] :
( ( ~ rpoint(X958)
| X955 != X958
| ~ rpoint(X957)
| X956 != X957
| rreal(esk9_2(X955,X956)) )
& ( ~ rpoint(X958)
| X955 != X958
| ~ rpoint(X957)
| X956 != X957
| vf(X955,X956) = esk9_2(X955,X956) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])])]) ).
cnf(c_0_51,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_39])])]) ).
cnf(c_0_52,plain,
rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363),
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(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_44])]),c_0_45]),c_0_46]) ).
cnf(c_0_53,plain,
rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),
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(spm,[status(thm)],[c_0_47,c_0_41]),c_0_42]),c_0_43]),c_0_44])]),c_0_45]),c_0_46]) ).
fof(c_0_54,plain,
! [X836,X837,X838,X839] :
( vf(X836,X837) = vf(X837,X836)
| ~ rpoint(X839)
| X836 != X839
| ~ rpoint(X838)
| X837 != X838 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])])]) ).
cnf(c_0_55,plain,
( ~ rR(X2,X1,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])])]) ).
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_49])])])]) ).
cnf(c_0_57,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| rreal(esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| vf(X1,X2) = esk9_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_59,plain,
! [X972,X973,X974,X975] :
( vplus(X972,X974) = vplus(X974,X972)
| ~ rreal(X973)
| X972 != X973
| ~ rreal(X975)
| X974 != X975 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])])]) ).
cnf(c_0_60,plain,
rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_42]),c_0_53]),c_0_43])]) ).
cnf(c_0_61,plain,
( ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X2)
| X1 != X2
| vf(X3,X1) = vf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,plain,
vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363)) = vf(vd1361,vd1363),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_42]),c_0_53]),c_0_43])]) ).
cnf(c_0_63,plain,
vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)) = vf(vd1361,vd1362),
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(spm,[status(thm)],[c_0_56,c_0_41]),c_0_42]),c_0_43]),c_0_44])]),c_0_45]),c_0_46]) ).
cnf(c_0_64,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| rreal(esk9_2(X1,X2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_57])]) ).
cnf(c_0_65,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| esk9_2(X1,X2) = vf(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_58])]) ).
cnf(c_0_66,plain,
( ~ rreal(X4)
| X3 != X4
| ~ rreal(X2)
| X1 != X2
| vplus(X3,X1) = vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,plain,
vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361)) = vf(vd1363,vd1361),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_60]),c_0_43]),c_0_53]),c_0_42])]) ).
cnf(c_0_68,plain,
( ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X1,X2) = vf(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_61])]) ).
cnf(c_0_69,plain,
vplus(vf(vd1361,vd1362),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363)) = vf(vd1361,vd1363),
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| rreal(vf(X1,X2)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( ~ rreal(X1)
| ~ rreal(X2)
| vplus(X1,X2) = vplus(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_66])]) ).
cnf(c_0_72,plain,
vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vd1361,vd1362)) = vf(vd1363,vd1361),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_42]),c_0_53])]),c_0_63]) ).
cnf(c_0_73,plain,
vplus(vf(vd1361,vd1362),vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))) = vf(vd1361,vd1363),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_43]),c_0_53])]) ).
cnf(c_0_74,plain,
rreal(vf(vd1361,vd1362)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_63]),c_0_42]),c_0_53])]) ).
cnf(c_0_75,plain,
( ~ rreal(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))
| vf(vd1363,vd1361) = vf(vd1361,vd1363) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]) ).
cnf(c_0_76,plain,
vf(vd1363,vd1361) = vf(vd1361,vd1363),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_70]),c_0_43]),c_0_53])]) ).
fof(c_0_77,negated_conjecture,
~ ? [X1] :
( rpoint(X1)
& rR(X1,vd1361,vd1363)
& vf(vd1363,X1) = vf(vd1361,vd1362) ),
inference(assume_negation,[status(cth)],['qe(396)']) ).
cnf(c_0_78,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rless(vf(X1,X2),vf(vd1361,vd1363))
| rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2),vd1363,vd1361)
| X1 = X2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_76]),c_0_43]),c_0_42])]),c_0_46]) ).
cnf(c_0_79,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rless(vf(X1,X2),vf(vd1361,vd1363))
| rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2))
| X1 = X2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_76]),c_0_43]),c_0_42])]),c_0_46]) ).
fof(c_0_80,negated_conjecture,
! [X772] :
( ~ rpoint(X772)
| ~ rR(X772,vd1361,vd1363)
| vf(vd1363,X772) != vf(vd1361,vd1362) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])]) ).
cnf(c_0_81,plain,
rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_41]),c_0_42]),c_0_44])]),c_0_45]) ).
cnf(c_0_82,plain,
rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_41]),c_0_42]),c_0_44])]),c_0_45]) ).
cnf(c_0_83,negated_conjecture,
( ~ rpoint(X1)
| ~ rR(X1,vd1361,vd1363)
| vf(vd1363,X1) != vf(vd1361,vd1362) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_84,plain,
rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_81]),c_0_43]),c_0_82]),c_0_42])]) ).
cnf(c_0_85,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rless(vf(X1,X2),vf(vd1361,vd1363))
| X1 = X2
| vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2)) = vf(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_76]),c_0_43]),c_0_42])]),c_0_46]) ).
cnf(c_0_86,negated_conjecture,
vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) != vf(vd1361,vd1362),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_82])]) ).
cnf(c_0_87,plain,
$false,
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_85,c_0_41]),c_0_42]),c_0_44])]),c_0_86]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO336+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 15:31:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.54/1.02 % Version: 3.5.1
% 3.54/1.02 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.54/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.54/1.02 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.54/1.02 % Starting new_bool_3 with 300s (1) cores
% 3.54/1.02 % Starting new_bool_1 with 300s (1) cores
% 3.54/1.02 % Starting sh5l with 300s (1) cores
% 3.54/1.02 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 461277 completed with status 0
% 3.54/1.02 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.54/1.02 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.54/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.54/1.02 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.54/1.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.54/1.02 % No SInE strategy applied
% 3.54/1.02 % Search class: FGHSF-FSLM33-SFFFFFNN
% 3.54/1.02 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 3.54/1.02 % Starting SubtermCWHack with 136s (1) cores
% 3.54/1.02 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.54/1.02 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 3.54/1.02 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 3.54/1.02 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 3.54/1.02 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 461289 completed with status 0
% 3.54/1.02 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 3.54/1.02 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.54/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.54/1.02 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.54/1.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.54/1.02 % No SInE strategy applied
% 3.54/1.02 % Search class: FGHSF-FSLM33-SFFFFFNN
% 3.54/1.02 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 3.54/1.02 % Starting SubtermCWHack with 136s (1) cores
% 3.54/1.02 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.54/1.02 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 3.54/1.02 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 3.54/1.02 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 3.54/1.02 % Preprocessing time : 0.016 s
% 3.54/1.02 % Presaturation interreduction done
% 3.54/1.02
% 3.54/1.02 % Proof found!
% 3.54/1.02 % SZS status Theorem
% 3.54/1.02 % SZS output start CNFRefutation
% See solution above
% 3.54/1.02 % Parsed axioms : 126
% 3.54/1.02 % Removed by relevancy pruning/SinE : 0
% 3.54/1.02 % Initial clauses : 284
% 3.54/1.02 % Removed in clause preprocessing : 2
% 3.54/1.02 % Initial clauses in saturation : 282
% 3.54/1.02 % Processed clauses : 1583
% 3.54/1.02 % ...of these trivial : 22
% 3.54/1.02 % ...subsumed : 288
% 3.54/1.02 % ...remaining for further processing : 1273
% 3.54/1.02 % Other redundant clauses eliminated : 1205
% 3.54/1.02 % Clauses deleted for lack of memory : 0
% 3.54/1.02 % Backward-subsumed : 91
% 3.54/1.02 % Backward-rewritten : 50
% 3.54/1.02 % Generated clauses : 2869
% 3.54/1.02 % ...of the previous two non-redundant : 2784
% 3.54/1.02 % ...aggressively subsumed : 0
% 3.54/1.02 % Contextual simplify-reflections : 28
% 3.54/1.02 % Paramodulations : 2586
% 3.54/1.02 % Factorizations : 8
% 3.54/1.02 % NegExts : 0
% 3.54/1.02 % Equation resolutions : 1218
% 3.54/1.02 % Disequality decompositions : 0
% 3.54/1.02 % Total rewrite steps : 2283
% 3.54/1.02 % ...of those cached : 2222
% 3.54/1.02 % Propositional unsat checks : 0
% 3.54/1.02 % Propositional check models : 0
% 3.54/1.02 % Propositional check unsatisfiable : 0
% 3.54/1.02 % Propositional clauses : 0
% 3.54/1.02 % Propositional clauses after purity: 0
% 3.54/1.02 % Propositional unsat core size : 0
% 3.54/1.02 % Propositional preprocessing time : 0.000
% 3.54/1.02 % Propositional encoding time : 0.000
% 3.54/1.02 % Propositional solver time : 0.000
% 3.54/1.02 % Success case prop preproc time : 0.000
% 3.54/1.02 % Success case prop encoding time : 0.000
% 3.54/1.02 % Success case prop solver time : 0.000
% 3.54/1.02 % Current number of processed clauses : 592
% 3.54/1.02 % Positive orientable unit clauses : 73
% 3.54/1.02 % Positive unorientable unit clauses: 0
% 3.54/1.02 % Negative unit clauses : 23
% 3.54/1.02 % Non-unit-clauses : 496
% 3.54/1.02 % Current number of unprocessed clauses: 1643
% 3.54/1.02 % ...number of literals in the above : 12679
% 3.54/1.02 % Current number of archived formulas : 0
% 3.54/1.02 % Current number of archived clauses : 421
% 3.54/1.02 % Clause-clause subsumption calls (NU) : 265946
% 3.54/1.02 % Rec. Clause-clause subsumption calls : 14748
% 3.54/1.02 % Non-unit clause-clause subsumptions : 376
% 3.54/1.02 % Unit Clause-clause subsumption calls : 2059
% 3.54/1.02 % Rewrite failures with RHS unbound : 0
% 3.54/1.02 % BW rewrite match attempts : 81
% 3.54/1.02 % BW rewrite match successes : 34
% 3.54/1.02 % Condensation attempts : 0
% 3.54/1.02 % Condensation successes : 0
% 3.54/1.02 % Termbank termtop insertions : 179551
% 3.54/1.02 % Search garbage collected termcells : 15385
% 3.54/1.02
% 3.54/1.02 % -------------------------------------------------
% 3.54/1.02 % User time : 0.525 s
% 3.54/1.02 % System time : 0.025 s
% 3.54/1.02 % Total time : 0.550 s
% 3.54/1.02 % Maximum resident set size: 6296 pages
% 3.54/1.02
% 3.54/1.02 % -------------------------------------------------
% 3.54/1.02 % User time : 2.517 s
% 3.54/1.02 % System time : 0.090 s
% 3.54/1.02 % Total time : 2.607 s
% 3.54/1.02 % Maximum resident set size: 5632 pages
% 3.54/1.02 % E exiting
%------------------------------------------------------------------------------