%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO011-4 : TPTP v9.2.1. Released v1.0.0.
% 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 : n010.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 04:18:59 PM UTC 2026
% Result : Unsatisfiable 0.28s 1.61s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 79)
% Comments :
%------------------------------------------------------------------------------
cnf(continuity2,axiom,
( equal_distance(distance(X1,X6),distance(X1,continuous(X1,X2,X3,X6,X4,X5)))
| ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X1,X4),distance(X1,X5))
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity2) ).
cnf(continuity1,axiom,
( between(X3,continuous(X1,X2,X3,X6,X4,X5),X5)
| ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X1,X4),distance(X1,X5))
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity1) ).
cnf(euclid3,axiom,
( X1 = X2
| between(euclid1(X1,X4,X2,X5,X3),X3,euclid2(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid3) ).
cnf(euclid1,axiom,
( X1 = X2
| between(X1,X4,euclid1(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid1) ).
cnf(euclid2,axiom,
( X1 = X2
| between(X1,X5,euclid2(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid2) ).
cnf(inner_pasch1,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).
cnf(inner_pasch2,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
cnf(segment_construction2,axiom,
equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
cnf(outer_five_segment,axiom,
( X1 = X2
| equal_distance(distance(X5,X7),distance(X6,X8))
| ~ equal_distance(distance(X1,X2),distance(X3,X4))
| ~ equal_distance(distance(X2,X5),distance(X4,X6))
| ~ equal_distance(distance(X1,X7),distance(X3,X8))
| ~ equal_distance(distance(X2,X7),distance(X4,X8))
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
cnf(upper_dimension,axiom,
( between(X1,X4,X5)
| between(X4,X5,X1)
| between(X5,X1,X4)
| X2 = X3
| ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X4,X2),distance(X4,X3))
| ~ equal_distance(distance(X5,X2),distance(X5,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_dimension) ).
cnf(transitivity_for_equidistance,axiom,
( equal_distance(distance(X3,X4),distance(X5,X6))
| ~ equal_distance(distance(X1,X2),distance(X3,X4))
| ~ equal_distance(distance(X1,X2),distance(X5,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(colinearity3,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equal_distance(distance(X1,X2),distance(X3,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
cnf(lower_dimension1,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
cnf(reflexivity_for_equidistance,axiom,
equal_distance(distance(X1,X2),distance(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
cnf(prove_lower_dimension_points_not_colinear,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
cnf(i_0_23,axiom,
( equal_distance(distance(X1,X6),distance(X1,continuous(X1,X2,X3,X6,X4,X5)))
| ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X1,X4),distance(X1,X5))
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
continuity2,
[final] ).
cnf(i_0_24,axiom,
( between(X3,continuous(X1,X2,X3,X6,X4,X5),X5)
| ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X1,X4),distance(X1,X5))
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
continuity1,
[final] ).
cnf(i_0_25,axiom,
( X1 = X2
| between(euclid1(X1,X4,X2,X5,X3),X3,euclid2(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
euclid3,
[final] ).
cnf(i_0_26,axiom,
( X1 = X2
| between(X1,X4,euclid1(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
euclid1,
[final] ).
cnf(i_0_27,axiom,
( X1 = X2
| between(X1,X5,euclid2(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
euclid2,
[final] ).
cnf(i_0_28,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch1,
[final] ).
cnf(i_0_29,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2,
[final] ).
cnf(i_0_30,axiom,
equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
segment_construction2,
[final] ).
cnf(i_0_31,axiom,
( X1 = X2
| equal_distance(distance(X5,X7),distance(X6,X8))
| ~ equal_distance(distance(X1,X2),distance(X3,X4))
| ~ equal_distance(distance(X2,X5),distance(X4,X6))
| ~ equal_distance(distance(X1,X7),distance(X3,X8))
| ~ equal_distance(distance(X2,X7),distance(X4,X8))
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
outer_five_segment,
[final] ).
cnf(i_0_32,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1,
[final] ).
cnf(i_0_33,axiom,
( between(X1,X4,X5)
| between(X4,X5,X1)
| between(X5,X1,X4)
| X2 = X3
| ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X4,X2),distance(X4,X3))
| ~ equal_distance(distance(X5,X2),distance(X5,X3)) ),
upper_dimension,
[final] ).
cnf(i_0_34,axiom,
( equal_distance(distance(X3,X4),distance(X5,X6))
| ~ equal_distance(distance(X1,X2),distance(X3,X4))
| ~ equal_distance(distance(X1,X2),distance(X5,X6)) ),
transitivity_for_equidistance,
[final] ).
cnf(i_0_35,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4,
[final] ).
cnf(i_0_36,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
colinearity1,
[final] ).
cnf(i_0_37,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
colinearity3,
[final] ).
cnf(i_0_38,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
colinearity2,
[final] ).
cnf(i_0_39,axiom,
( X1 = X2
| ~ equal_distance(distance(X1,X2),distance(X3,X3)) ),
identity_for_equidistance,
[final] ).
cnf(i_0_40,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness,
[final] ).
cnf(i_0_41,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
lower_dimension3,
[final] ).
cnf(i_0_42,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
lower_dimension2,
[final] ).
cnf(i_0_43,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
lower_dimension1,
[final] ).
cnf(i_0_44,axiom,
equal_distance(distance(X1,X2),distance(X2,X1)),
reflexivity_for_equidistance,
[final] ).
cnf(i_0_45,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
prove_lower_dimension_points_not_colinear,
[final] ).
cnf(i_0_46,axiom,
X1 = X1 ).
cnf(i_0_47,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_48,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_49,axiom,
( X1 != X2
| ~ equal_distance(X1,X3)
| equal_distance(X2,X3) ) ).
cnf(i_0_50,axiom,
( X1 != X2
| ~ equal_distance(X3,X1)
| equal_distance(X3,X2) ) ).
cnf(i_0_51,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_52,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_53,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_54,axiom,
( X1 != X2
| ~ colinear(X1,X3,X4)
| colinear(X2,X3,X4) ) ).
cnf(i_0_55,axiom,
( X1 != X2
| ~ colinear(X3,X1,X4)
| colinear(X3,X2,X4) ) ).
cnf(i_0_56,axiom,
( X1 != X2
| ~ colinear(X3,X4,X1)
| colinear(X3,X4,X2) ) ).
cnf(i_0_46_001,axiom,
X1 = X1 ).
cnf(i_0_47_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_48_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_49_004,axiom,
( X1 != X2
| ~ equal_distance(X1,X3)
| equal_distance(X2,X3) ) ).
cnf(i_0_50_005,axiom,
( X1 != X2
| ~ equal_distance(X3,X1)
| equal_distance(X3,X2) ) ).
cnf(i_0_51_006,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_52_007,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_53_008,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_54_009,axiom,
( X1 != X2
| ~ colinear(X1,X3,X4)
| colinear(X2,X3,X4) ) ).
cnf(i_0_55_010,axiom,
( X1 != X2
| ~ colinear(X3,X1,X4)
| colinear(X3,X2,X4) ) ).
cnf(i_0_56_011,axiom,
( X1 != X2
| ~ colinear(X3,X4,X1)
| colinear(X3,X4,X2) ) ).
cnf(i_0_57,plain,
colinear(X1,X2,extension(X1,X2,X3,X4)),
inference(scs_inference,[],[i_0_32,i_0_36]) ).
cnf(i_0_58,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_59,plain,
colinear(X1,extension(X2,X1,X3,X4),X2),
inference(scs_inference,[],[i_0_32,i_0_36,i_0_37]) ).
cnf(i_0_60,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_61,plain,
colinear(extension(X1,X2,X3,X4),X1,X2),
inference(scs_inference,[],[i_0_32,i_0_36,i_0_37,i_0_38]) ).
cnf(i_0_62,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_63,plain,
X1 = extension(X2,X1,X3,X3),
inference(scs_inference,[],[i_0_32,i_0_30,i_0_36,i_0_37,i_0_38,i_0_39]) ).
cnf(i_0_64,plain,
equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_65,plain,
( ~ equal_distance(distance(X1,X2),distance(X3,X3))
| X1 = X2 ),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_66,plain,
extension(X1,X2,X3,X3) = X2,
inference(scs_inference,[],[i_0_32,i_0_30,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47]) ).
cnf(i_0_67,plain,
~ between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2),
inference(scs_inference,[],[i_0_32,i_0_41,i_0_30,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51]) ).
cnf(i_0_68,plain,
~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1),
inference(scs_inference,[],[i_0_32,i_0_41,i_0_42,i_0_30,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52]) ).
cnf(i_0_69,plain,
extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
inference(scs_inference,[],[i_0_32,i_0_41,i_0_42,i_0_30,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53]) ).
cnf(i_0_70,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_71,plain,
~ colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_32,i_0_41,i_0_42,i_0_43,i_0_30,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53,i_0_35]) ).
cnf(i_0_72,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| ~ colinear(X3,X1,X2)
| between(X3,X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_73,plain,
between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),
inference(scs_inference,[],[i_0_32,i_0_41,i_0_42,i_0_43,i_0_30,i_0_64,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53,i_0_35,i_0_33]) ).
cnf(i_0_74,plain,
equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_75,plain,
equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_76,plain,
equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_77,plain,
( ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X4,X2),distance(X4,X3))
| ~ equal_distance(distance(X5,X2),distance(X5,X3))
| between(X4,X5,X1)
| between(X5,X1,X4)
| between(X1,X4,X5)
| X2 = X3 ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_78,plain,
~ colinear(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1),
inference(scs_inference,[],[i_0_32,i_0_41,i_0_42,i_0_43,i_0_30,i_0_64,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53,i_0_35,i_0_33,i_0_55]) ).
cnf(i_0_79,plain,
( X1 != lower_dimension_point_1
| ~ colinear(lower_dimension_point_2,lower_dimension_point_3,X1) ),
inference(scs_inference,[],[i_0_32,i_0_41,i_0_42,i_0_43,i_0_30,i_0_64,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53,i_0_35,i_0_33,i_0_55,i_0_56]) ).
cnf(i_0_80,plain,
between(lower_dimension_point_1,continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),
inference(scs_inference,[],[i_0_32,i_0_44,i_0_41,i_0_42,i_0_43,i_0_30,i_0_64,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53,i_0_35,i_0_33,i_0_55,i_0_56,i_0_24]) ).
cnf(i_0_81,plain,
equal_distance(distance(X1,X2),distance(X2,X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_82,plain,
equal_distance(distance(X1,X2),distance(X2,X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_83,plain,
( ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X1,X4),distance(X1,X5))
| between(X3,continuous(X1,X2,X3,X6,X4,X5),X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_84,plain,
lower_dimension_point_1 = continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),
inference(scs_inference,[],[i_0_32,i_0_44,i_0_41,i_0_42,i_0_43,i_0_30,i_0_64,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53,i_0_35,i_0_33,i_0_55,i_0_56,i_0_24,i_0_40]) ).
cnf(i_0_85,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_86,plain,
( X1 != lower_dimension_point_2
| ~ colinear(X1,extension(X2,lower_dimension_point_3,X3,X3),lower_dimension_point_1) ),
inference(scs_inference,[],[i_0_32,i_0_44,i_0_41,i_0_42,i_0_43,i_0_30,i_0_64,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53,i_0_35,i_0_33,i_0_55,i_0_56,i_0_24,i_0_40,i_0_54]) ).
cnf(i_0_87,plain,
( X1 = continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1)
| X1 != lower_dimension_point_1 ),
inference(scs_inference,[],[i_0_32,i_0_44,i_0_41,i_0_42,i_0_43,i_0_30,i_0_64,i_0_36,i_0_37,i_0_38,i_0_39,i_0_47,i_0_51,i_0_52,i_0_53,i_0_35,i_0_33,i_0_55,i_0_56,i_0_24,i_0_40,i_0_54,i_0_48]) ).
cnf(i_0_88,plain,
~ colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(equality_inference,[],[79]) ).
cnf(i_0_89,plain,
~ colinear(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1),
inference(equality_inference,[],[86]) ).
cnf(i_0_90,plain,
lower_dimension_point_1 = continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),
inference(equality_inference,[],[87]) ).
cnf(i_0_91,plain,
extension(lower_dimension_point_2,lower_dimension_point_3,X1,X2) != lower_dimension_point_1,
inference(scs_inference,[],[i_0_57,i_0_79]) ).
cnf(i_0_92,plain,
colinear(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_57]) ).
cnf(i_0_93,plain,
~ colinear(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),lower_dimension_point_1),
inference(scs_inference,[],[i_0_66,i_0_57,i_0_79,i_0_86]) ).
cnf(i_0_94,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_95,plain,
extension(X1,lower_dimension_point_1,X2,X2) = continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),
inference(scs_inference,[],[i_0_66,i_0_94,i_0_57,i_0_79,i_0_86,i_0_87]) ).
cnf(i_0_96,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_97,plain,
colinear(lower_dimension_point_1,continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),
inference(scs_inference,[],[i_0_66,i_0_94,i_0_57,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36]) ).
cnf(i_0_98,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_99,plain,
colinear(continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,lower_dimension_point_1),
inference(scs_inference,[],[i_0_66,i_0_94,i_0_57,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37]) ).
cnf(i_0_100,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_101,plain,
colinear(lower_dimension_point_1,lower_dimension_point_1,continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1)),
inference(scs_inference,[],[i_0_66,i_0_94,i_0_57,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38]) ).
cnf(i_0_102,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_103,plain,
continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1) = lower_dimension_point_1,
inference(scs_inference,[],[i_0_66,i_0_94,i_0_57,i_0_84,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47]) ).
cnf(i_0_104,plain,
~ colinear(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_63,i_0_66,i_0_94,i_0_57,i_0_84,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55]) ).
cnf(i_0_105,plain,
X1 = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_63]) ).
cnf(i_0_106,plain,
~ colinear(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2)),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_66,i_0_94,i_0_96,i_0_57,i_0_84,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56]) ).
cnf(i_0_107,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_108,plain,
extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_105,i_0_66,i_0_94,i_0_96,i_0_107,i_0_57,i_0_84,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56,i_0_48]) ).
cnf(i_0_109,plain,
X1 = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_63]) ).
cnf(i_0_110,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),lower_dimension_point_1),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_105,i_0_66,i_0_94,i_0_96,i_0_107,i_0_57,i_0_84,i_0_68,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56,i_0_48,i_0_51]) ).
cnf(i_0_111,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_112,plain,
~ between(extension(X1,lower_dimension_point_3,X2,X2),extension(X3,lower_dimension_point_1,X4,X4),lower_dimension_point_2),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_105,i_0_66,i_0_94,i_0_96,i_0_107,i_0_111,i_0_57,i_0_84,i_0_67,i_0_68,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56,i_0_48,i_0_51,i_0_52]) ).
cnf(i_0_113,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_114,plain,
~ between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,extension(X3,lower_dimension_point_2,X4,X4)),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_105,i_0_66,i_0_94,i_0_96,i_0_107,i_0_111,i_0_113,i_0_57,i_0_84,i_0_67,i_0_68,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56,i_0_48,i_0_51,i_0_52,i_0_53]) ).
cnf(i_0_115,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_116,plain,
~ colinear(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,X4,X4)),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_105,i_0_66,i_0_94,i_0_96,i_0_107,i_0_111,i_0_113,i_0_115,i_0_57,i_0_84,i_0_67,i_0_68,i_0_80,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56,i_0_48,i_0_51,i_0_52,i_0_53,i_0_54]) ).
cnf(i_0_117,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_118,plain,
~ colinear(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_105,i_0_66,i_0_94,i_0_96,i_0_107,i_0_111,i_0_113,i_0_115,i_0_57,i_0_84,i_0_67,i_0_68,i_0_80,i_0_43,i_0_42,i_0_41,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56,i_0_48,i_0_51,i_0_52,i_0_53,i_0_54,i_0_35]) ).
cnf(i_0_119,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| ~ colinear(X3,X1,X2)
| between(X3,X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_120,plain,
between(X1,continuous(X1,X1,X1,X1,extension(X1,X1,X1,X2),X2),X2),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_105,i_0_66,i_0_94,i_0_96,i_0_107,i_0_111,i_0_113,i_0_115,i_0_57,i_0_84,i_0_67,i_0_68,i_0_80,i_0_43,i_0_30,i_0_44,i_0_42,i_0_41,i_0_32,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56,i_0_48,i_0_51,i_0_52,i_0_53,i_0_54,i_0_35,i_0_24]) ).
cnf(i_0_121,plain,
equal_distance(distance(X1,X2),distance(X2,X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_122,plain,
equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_123,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_124,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_125,plain,
( ~ equal_distance(distance(X1,X2),distance(X1,X3))
| ~ equal_distance(distance(X1,X4),distance(X1,X5))
| between(X3,continuous(X1,X2,X3,X6,X4,X5),X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_126,plain,
X1 = continuous(X1,X1,X1,X1,extension(X1,X1,X1,X1),X1),
inference(scs_inference,[],[i_0_71,i_0_63,i_0_105,i_0_66,i_0_94,i_0_96,i_0_107,i_0_111,i_0_113,i_0_115,i_0_57,i_0_84,i_0_67,i_0_68,i_0_80,i_0_43,i_0_30,i_0_44,i_0_42,i_0_41,i_0_32,i_0_79,i_0_86,i_0_87,i_0_36,i_0_37,i_0_38,i_0_47,i_0_55,i_0_56,i_0_48,i_0_51,i_0_52,i_0_53,i_0_54,i_0_35,i_0_24,i_0_40]) ).
cnf(i_0_127,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_128,plain,
colinear(X1,continuous(X1,X1,X1,X1,extension(X1,X1,X1,X2),X2),X2),
inference(scs_inference,[],[i_0_120,i_0_36]) ).
cnf(i_0_129,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_130,plain,
colinear(continuous(X1,X1,X1,X1,extension(X1,X1,X1,X2),X2),X2,X1),
inference(scs_inference,[],[i_0_120,i_0_36,i_0_37]) ).
cnf(i_0_131,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_132,plain,
colinear(X1,X2,continuous(X2,X2,X2,X2,extension(X2,X2,X2,X1),X1)),
inference(scs_inference,[],[i_0_120,i_0_36,i_0_37,i_0_38]) ).
cnf(i_0_133,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_134,plain,
continuous(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2),lower_dimension_point_2) != lower_dimension_point_1,
inference(scs_inference,[],[i_0_120,i_0_36,i_0_37,i_0_38,i_0_79]) ).
cnf(i_0_135,plain,
continuous(X1,X1,X1,X1,extension(X1,X1,X1,X1),X1) = X1,
inference(scs_inference,[],[i_0_126,i_0_120,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47]) ).
cnf(i_0_136,plain,
~ colinear(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1)),
inference(scs_inference,[],[i_0_93,i_0_126,i_0_120,i_0_103,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47,i_0_56]) ).
cnf(i_0_137,plain,
extension(X1,X2,X3,X3) = continuous(extension(X4,X2,X5,X5),extension(X4,X2,X5,X5),extension(X4,X2,X5,X5),extension(X4,X2,X5,X5),extension(extension(X4,X2,X5,X5),extension(X4,X2,X5,X5),extension(X4,X2,X5,X5),extension(X4,X2,X5,X5)),extension(X4,X2,X5,X5)),
inference(scs_inference,[],[i_0_93,i_0_108,i_0_126,i_0_120,i_0_103,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47,i_0_56,i_0_48]) ).
cnf(i_0_138,plain,
X1 = continuous(X1,X1,X1,X1,extension(X1,X1,X1,X1),X1),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_139,plain,
~ between(extension(X1,lower_dimension_point_3,X2,X2),continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),extension(X3,lower_dimension_point_2,X4,X4)),
inference(scs_inference,[],[i_0_93,i_0_108,i_0_126,i_0_120,i_0_114,i_0_103,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47,i_0_56,i_0_48,i_0_52]) ).
cnf(i_0_140,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1)),
inference(scs_inference,[],[i_0_93,i_0_108,i_0_126,i_0_120,i_0_110,i_0_114,i_0_103,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47,i_0_56,i_0_48,i_0_52,i_0_53]) ).
cnf(i_0_141,plain,
~ between(continuous(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_2,lower_dimension_point_3),
inference(scs_inference,[],[i_0_93,i_0_108,i_0_126,i_0_120,i_0_110,i_0_114,i_0_103,i_0_43,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47,i_0_56,i_0_48,i_0_52,i_0_53,i_0_51]) ).
cnf(i_0_142,plain,
~ colinear(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
inference(scs_inference,[],[i_0_93,i_0_116,i_0_108,i_0_126,i_0_120,i_0_110,i_0_114,i_0_103,i_0_66,i_0_43,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47,i_0_56,i_0_48,i_0_52,i_0_53,i_0_51,i_0_55]) ).
cnf(i_0_143,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_144,plain,
~ colinear(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2),
inference(scs_inference,[],[i_0_93,i_0_116,i_0_118,i_0_108,i_0_126,i_0_120,i_0_110,i_0_114,i_0_103,i_0_66,i_0_143,i_0_43,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47,i_0_56,i_0_48,i_0_52,i_0_53,i_0_51,i_0_55,i_0_54]) ).
cnf(i_0_145,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_146,plain,
$false,
inference(scs_inference,[],[i_0_45,i_0_93,i_0_116,i_0_118,i_0_108,i_0_126,i_0_120,i_0_110,i_0_114,i_0_103,i_0_66,i_0_143,i_0_43,i_0_42,i_0_41,i_0_36,i_0_37,i_0_38,i_0_79,i_0_47,i_0_56,i_0_48,i_0_52,i_0_53,i_0_51,i_0_55,i_0_54,i_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO011-4 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n010.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 17:36:36 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.28/1.61 % Version : CSE_E---1.7
% 0.28/1.61 % Problem : theBenchmark.p
% 0.28/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.61 % SZS output start CNFRefutation
% See solution above
% 0.49/1.87 % Total time : 1.270s
%------------------------------------------------------------------------------