%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO661+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:21:50 PM UTC 2026
% Result : Satisfiable 98.41s 67.65s
% Output : Saturation 98.60s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(lower_dimension,axiom,
? [X7,X8,X14] :
( ~ between(X7,X8,X14)
& ~ between(X8,X14,X7)
& ~ between(X14,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension) ).
fof(continuity,axiom,
! [X13,X4,X12,X1,X9,X6] :
( ( equidistant(X13,X4,X13,X12)
& equidistant(X13,X1,X13,X9)
& between(X13,X4,X1)
& between(X4,X6,X1) )
=> ? [X7] :
( between(X12,X7,X9)
& equidistant(X13,X6,X13,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity) ).
fof(euclid,axiom,
! [X1,X13,X4,X2,X3] :
( ( between(X1,X13,X4)
& between(X2,X13,X3)
& X1 != X13 )
=> ? [X7,X8] :
( between(X1,X2,X7)
& between(X1,X3,X8)
& between(X7,X4,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid) ).
fof(inner_pasch,axiom,
! [X1,X13,X3,X2,X4] :
( ( between(X1,X13,X3)
& between(X2,X4,X3) )
=> ? [X7] :
( between(X13,X7,X2)
& between(X4,X7,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch) ).
fof(outer_five_segment,axiom,
! [X1,X2,X9,X10,X3,X11,X4,X12] :
( ( equidistant(X1,X2,X9,X10)
& equidistant(X2,X3,X10,X11)
& equidistant(X1,X4,X9,X12)
& equidistant(X2,X4,X10,X12)
& between(X1,X2,X3)
& between(X9,X10,X11)
& X1 != X2 )
=> equidistant(X3,X4,X11,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
fof(upper_dimension,axiom,
! [X1,X6,X4,X2,X3] :
( ( equidistant(X1,X6,X1,X4)
& equidistant(X2,X6,X2,X4)
& equidistant(X3,X6,X3,X4)
& X6 != X4 )
=> ( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_dimension) ).
fof(transitivity_for_equidistance,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( equidistant(X1,X2,X3,X4)
& equidistant(X1,X2,X5,X6) )
=> equidistant(X3,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(segment_construction,axiom,
! [X1,X2,X7,X8] :
? [X3] :
( between(X1,X2,X3)
=> equidistant(X2,X3,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction) ).
fof(identity_for_equidistance,axiom,
! [X1,X2,X3] :
( equidistant(X1,X2,X3,X3)
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(reflexivity_for_equidistance,axiom,
! [X1,X2] : equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(identity_for_betweeness,axiom,
! [X1,X2] :
( between(X1,X2,X1)
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(i_0_11,plain,
? [X7,X8,X14] :
( ~ between(X7,X8,X14)
& ~ between(X8,X14,X7)
& ~ between(X14,X7,X8) ),
inference(fof_simplification,[status(thm)],[lower_dimension]) ).
fof(i_0_12,plain,
! [X117,X118,X119,X120,X121,X122] :
( ( between(X119,esk9_6(X117,X118,X119,X120,X121,X122),X121)
| ~ equidistant(X117,X118,X117,X119)
| ~ equidistant(X117,X120,X117,X121)
| ~ between(X117,X118,X120)
| ~ between(X118,X122,X120) )
& ( equidistant(X117,X122,X117,esk9_6(X117,X118,X119,X120,X121,X122))
| ~ equidistant(X117,X118,X117,X119)
| ~ equidistant(X117,X120,X117,X121)
| ~ between(X117,X118,X120)
| ~ between(X118,X122,X120) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[continuity])])])]) ).
fof(i_0_13,plain,
! [X110,X111,X112,X113,X114] :
( ( between(X110,X113,esk7_5(X110,X111,X112,X113,X114))
| ~ between(X110,X111,X112)
| ~ between(X113,X111,X114)
| X110 = X111 )
& ( between(X110,X114,esk8_5(X110,X111,X112,X113,X114))
| ~ between(X110,X111,X112)
| ~ between(X113,X111,X114)
| X110 = X111 )
& ( between(esk7_5(X110,X111,X112,X113,X114),X112,esk8_5(X110,X111,X112,X113,X114))
| ~ between(X110,X111,X112)
| ~ between(X113,X111,X114)
| X110 = X111 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[euclid])])])]) ).
fof(i_0_14,plain,
! [X96,X97,X98,X99,X100] :
( ( between(X97,esk3_5(X96,X97,X98,X99,X100),X99)
| ~ between(X96,X97,X98)
| ~ between(X99,X100,X98) )
& ( between(X100,esk3_5(X96,X97,X98,X99,X100),X96)
| ~ between(X96,X97,X98)
| ~ between(X99,X100,X98) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inner_pasch])])])]) ).
fof(i_0_15,plain,
! [X86,X87,X88,X89,X90,X91,X92,X93] :
( ~ equidistant(X86,X87,X88,X89)
| ~ equidistant(X87,X90,X89,X91)
| ~ equidistant(X86,X92,X88,X93)
| ~ equidistant(X87,X92,X89,X93)
| ~ between(X86,X87,X90)
| ~ between(X88,X89,X91)
| X86 = X87
| equidistant(X90,X92,X91,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[outer_five_segment])]) ).
fof(i_0_16,plain,
! [X105,X106,X107,X108,X109] :
( ~ equidistant(X105,X106,X105,X107)
| ~ equidistant(X108,X106,X108,X107)
| ~ equidistant(X109,X106,X109,X107)
| X106 = X107
| between(X105,X108,X109)
| between(X108,X109,X105)
| between(X109,X105,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[upper_dimension])]) ).
fof(i_0_17,plain,
! [X71,X72,X73,X74,X75,X76] :
( ~ equidistant(X71,X72,X73,X74)
| ~ equidistant(X71,X72,X75,X76)
| equidistant(X73,X74,X75,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_for_equidistance])]) ).
fof(i_0_18,plain,
! [X80,X81,X83,X84] :
( ~ between(X80,X81,esk1_2(X80,X81))
| equidistant(X81,esk2_4(X80,X81,X83,X84),X83,X84) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[segment_construction])])])])]) ).
fof(i_0_19,plain,
! [X77,X78,X79] :
( ~ equidistant(X77,X78,X79,X79)
| X77 = X78 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[identity_for_equidistance])]) ).
fof(i_0_20,plain,
! [X69,X70] : equidistant(X69,X70,X70,X69),
inference(variable_rename,[status(thm)],[reflexivity_for_equidistance]) ).
fof(i_0_21,plain,
! [X94,X95] :
( ~ between(X94,X95,X94)
| X94 = X95 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[identity_for_betweeness])]) ).
fof(i_0_22,plain,
( ~ between(esk4_0,esk5_0,esk6_0)
& ~ between(esk5_0,esk6_0,esk4_0)
& ~ between(esk6_0,esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_11])]) ).
cnf(i_0_23,plain,
( equidistant(X1,X2,X1,esk9_6(X1,X3,X4,X5,X6,X2))
| ~ equidistant(X1,X3,X1,X4)
| ~ equidistant(X1,X5,X1,X6)
| ~ between(X1,X3,X5)
| ~ between(X3,X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_24,plain,
( between(X1,esk9_6(X2,X3,X1,X4,X5,X6),X5)
| ~ equidistant(X2,X3,X2,X1)
| ~ equidistant(X2,X4,X2,X5)
| ~ between(X2,X3,X4)
| ~ between(X3,X6,X4) ),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_25,plain,
( between(esk7_5(X1,X2,X3,X4,X5),X3,esk8_5(X1,X2,X3,X4,X5))
| X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_26,plain,
( between(X1,X2,esk8_5(X1,X3,X4,X5,X2))
| X1 = X3
| ~ between(X1,X3,X4)
| ~ between(X5,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_27,plain,
( between(X1,X2,esk7_5(X1,X3,X4,X2,X5))
| X1 = X3
| ~ between(X1,X3,X4)
| ~ between(X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_28,plain,
( between(X1,esk3_5(X2,X1,X3,X4,X5),X4)
| ~ between(X2,X1,X3)
| ~ between(X4,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_29,plain,
( between(X1,esk3_5(X2,X3,X4,X5,X1),X2)
| ~ between(X2,X3,X4)
| ~ between(X5,X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_30,plain,
( X1 = X2
| equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X7,X4,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_31,plain,
( X2 = X3
| between(X1,X4,X5)
| between(X4,X5,X1)
| between(X5,X1,X4)
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X4,X2,X4,X3)
| ~ equidistant(X5,X2,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_32,plain,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_33,plain,
( equidistant(X2,esk2_4(X1,X2,X3,X4),X3,X4)
| ~ between(X1,X2,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_34,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_35,plain,
equidistant(X1,X2,X2,X1),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_36,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_37,plain,
~ between(esk6_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_38,plain,
~ between(esk5_0,esk6_0,esk4_0),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_39,plain,
~ between(esk4_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_40,axiom,
X1 = X1 ).
cnf(i_0_41,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_42,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_43,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_44,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_45,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_46,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_47,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_48,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_49,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_50,plain,
equidistant(X1,X2,X1,X2),
inference(scs_inference,[],[i_0_35,i_0_32]) ).
cnf(i_0_56,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_57,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_66,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_76,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_97,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_98,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_105,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_106,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_108,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_109,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_111,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_112,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_114,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_115,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_117,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_118,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_120,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_121,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_123,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_124,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_126,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_127,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_129,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_130,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_132,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_133,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_135,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_136,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_138,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_139,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_141,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_142,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_144,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_145,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_147,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_148,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_150,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_151,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_153,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_154,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_156,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_157,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_159,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_160,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_162,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_163,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_165,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_166,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_168,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_35]) ).
cnf(c_0_69,plain,
( X1 = X2
| equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X7,X8)
| ~ equidistant(X2,X3,X8,X5)
| ~ equidistant(X1,X4,X7,X6)
| ~ equidistant(X2,X4,X8,X6)
| ~ between(X1,X2,X3)
| ~ between(X7,X8,X5) ),
i_0_30,
[final] ).
cnf(c_0_70,plain,
equidistant(X1,X2,X2,X1),
i_0_35,
[final] ).
cnf(c_0_71,plain,
( equidistant(X1,X2,X1,esk9_6(X1,X3,X4,X5,X6,X2))
| ~ equidistant(X1,X3,X1,X4)
| ~ equidistant(X1,X5,X1,X6)
| ~ between(X1,X3,X5)
| ~ between(X3,X2,X5) ),
i_0_23,
[final] ).
cnf(c_0_72,plain,
equidistant(X1,X2,X1,X2),
i_0_50,
[final] ).
cnf(c_0_73,plain,
( between(X1,esk9_6(X2,X3,X1,X4,X5,X6),X5)
| ~ equidistant(X2,X3,X2,X1)
| ~ equidistant(X2,X4,X2,X5)
| ~ between(X2,X3,X4)
| ~ between(X3,X6,X4) ),
i_0_24,
[final] ).
cnf(c_0_74,plain,
( X1 = X2
| equidistant(X3,X4,X5,X2)
| ~ between(X6,X4,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| ~ equidistant(X1,X4,X6,X2)
| ~ equidistant(X1,X2,X6,X4) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]),
[final] ).
cnf(c_0_75,plain,
( equidistant(X1,X2,X1,esk9_6(X1,X3,X4,X5,X5,X2))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_76,plain,
( between(X1,esk9_6(X2,X3,X1,X4,X4,X5),X4)
| ~ between(X3,X5,X4)
| ~ between(X2,X3,X4)
| ~ equidistant(X2,X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]),
[final] ).
cnf(c_0_77,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X1,X2)
| ~ equidistant(X5,X6,X3,X4) ),
i_0_32,
[final] ).
cnf(c_0_78,plain,
( X1 = X2
| equidistant(X3,X4,X5,X4)
| ~ between(X6,X2,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X3,X2,X5)
| ~ equidistant(X1,X4,X6,X4)
| ~ equidistant(X1,X2,X6,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_72]),
[final] ).
cnf(c_0_79,plain,
( X1 = X2
| equidistant(X3,X3,X2,X2)
| ~ between(X4,X3,X2)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X2)
| ~ equidistant(X1,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_74,c_0_70]),
[final] ).
cnf(c_0_80,plain,
( equidistant(X1,X2,X1,esk9_6(X1,X3,X3,X4,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_75,c_0_72]),
[final] ).
cnf(c_0_81,plain,
( between(X1,esk9_6(X2,X1,X1,X3,X3,X4),X3)
| ~ between(X1,X4,X3)
| ~ between(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_72]),
[final] ).
cnf(c_0_82,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_72]),
[final] ).
cnf(c_0_83,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_70]),
[final] ).
cnf(c_0_84,plain,
( X1 = X2
| between(X3,X4,X5)
| between(X4,X5,X3)
| between(X5,X3,X4)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X5,X1,X5,X2) ),
i_0_31,
[final] ).
cnf(c_0_85,plain,
( between(esk7_5(X1,X2,X3,X4,X5),X3,esk8_5(X1,X2,X3,X4,X5))
| X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
i_0_25,
[final] ).
cnf(c_0_86,plain,
( between(X1,X2,esk8_5(X1,X3,X4,X5,X2))
| X1 = X3
| ~ between(X1,X3,X4)
| ~ between(X5,X3,X2) ),
i_0_26,
[final] ).
cnf(c_0_87,plain,
( between(X1,X2,esk7_5(X1,X3,X4,X2,X5))
| X1 = X3
| ~ between(X1,X3,X4)
| ~ between(X2,X3,X5) ),
i_0_27,
[final] ).
cnf(c_0_88,plain,
( equidistant(X1,esk2_4(X2,X1,X3,X4),X3,X4)
| ~ between(X2,X1,esk1_2(X2,X1)) ),
i_0_33,
[final] ).
cnf(c_0_89,plain,
( between(X1,esk3_5(X2,X1,X3,X4,X5),X4)
| ~ between(X2,X1,X3)
| ~ between(X4,X5,X3) ),
i_0_28,
[final] ).
cnf(c_0_90,plain,
( between(X1,esk3_5(X2,X3,X4,X5,X1),X2)
| ~ between(X2,X3,X4)
| ~ between(X5,X1,X4) ),
i_0_29,
[final] ).
cnf(c_0_91,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
i_0_34,
[final] ).
cnf(c_0_92,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
i_0_36,
[final] ).
cnf(c_0_93,plain,
~ between(esk5_0,esk6_0,esk4_0),
i_0_38,
[final] ).
cnf(c_0_94,plain,
~ between(esk4_0,esk5_0,esk6_0),
i_0_39,
[final] ).
cnf(c_0_95,plain,
~ between(esk6_0,esk4_0,esk5_0),
i_0_37,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO661+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:05:15 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 98.41/67.65 % Version : CSE_E---1.7
% 98.41/67.65 % Problem : theBenchmark.p
% 98.41/67.65 % SZS status Satisfiable for theBenchmark.p
% 98.41/67.65 % SZS output start Saturation
% See solution above
% 98.60/67.86 % Total time : 67.305s
%------------------------------------------------------------------------------