%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO016-3 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 04:19:00 PM UTC 2026
% Result : Unsatisfiable 0.29s 1.62s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 68)
% Comments :
%------------------------------------------------------------------------------
cnf(continuity2,axiom,
( equidistant(X1,X6,X1,continuous(X1,X2,X3,X6,X4,X5))
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',continuity2) ).
cnf(continuity1,axiom,
( between(X3,continuous(X1,X2,X3,X6,X4,X5),X5)
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',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/sandbox2/benchmark/Axioms/GEO002-0.ax',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/sandbox2/benchmark/Axioms/GEO002-0.ax',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/sandbox2/benchmark/Axioms/GEO002-0.ax',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/sandbox2/benchmark/Axioms/GEO002-0.ax',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/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(outer_five_segment,axiom,
( 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) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(upper_dimension,axiom,
( between(X1,X4,X5)
| between(X4,X5,X1)
| between(X5,X1,X4)
| X2 = X3
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X4,X2,X4,X3)
| ~ equidistant(X5,X2,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',upper_dimension) ).
cnf(transitivity_for_equidistance,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(prove_symmetry,negated_conjecture,
~ equidistant(v,u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).
cnf(d1,axiom,
equidistant(X1,X2,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).
cnf(lower_dimension1,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).
cnf(i_0_22,axiom,
( equidistant(X1,X6,X1,continuous(X1,X2,X3,X6,X4,X5))
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
continuity2,
[final] ).
cnf(i_0_23,axiom,
( between(X3,continuous(X1,X2,X3,X6,X4,X5),X5)
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
continuity1,
[final] ).
cnf(i_0_24,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_25,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_26,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_27,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_28,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_29,axiom,
( 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) ),
outer_five_segment,
[final] ).
cnf(i_0_30,axiom,
( between(X1,X4,X5)
| between(X4,X5,X1)
| between(X5,X1,X4)
| X2 = X3
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X4,X2,X4,X3)
| ~ equidistant(X5,X2,X5,X3) ),
upper_dimension,
[final] ).
cnf(i_0_31,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance,
[final] ).
cnf(i_0_32,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2,
[final] ).
cnf(i_0_33,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2,
[final] ).
cnf(i_0_34,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1,
[final] ).
cnf(i_0_35,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance,
[final] ).
cnf(i_0_36,negated_conjecture,
~ equidistant(v,u,w,x),
prove_symmetry,
[final] ).
cnf(i_0_37,axiom,
equidistant(X1,X2,X1,X2),
d1,
[final] ).
cnf(i_0_38,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance,
[final] ).
cnf(i_0_39,hypothesis,
equidistant(u,v,w,x),
u_to_v_equals_w_to_x,
[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,
X1 = X1 ).
cnf(i_0_45,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_46,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_47,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_48,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_49,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_50,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,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_44_001,axiom,
X1 = X1 ).
cnf(i_0_45_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_46_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_47_004,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_48_005,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_49_006,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_50_007,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_51_008,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_52_009,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_53_010,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_54,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(scs_inference,[],[i_0_32,i_0_33]) ).
cnf(i_0_55,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_56,plain,
X1 = extension(X2,X1,X3,X3),
inference(scs_inference,[],[i_0_32,i_0_33,i_0_35]) ).
cnf(i_0_57,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_58,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_59,plain,
~ equidistant(w,x,v,u),
inference(scs_inference,[],[i_0_36,i_0_37,i_0_32,i_0_33,i_0_35,i_0_31]) ).
cnf(i_0_60,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_61,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_62,plain,
extension(X1,v,w,x) != u,
inference(scs_inference,[],[i_0_36,i_0_37,i_0_32,i_0_57,i_0_33,i_0_35,i_0_31,i_0_48]) ).
cnf(i_0_63,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_64,plain,
extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
inference(scs_inference,[],[i_0_36,i_0_37,i_0_32,i_0_57,i_0_34,i_0_41,i_0_33,i_0_35,i_0_31,i_0_48,i_0_53]) ).
cnf(i_0_65,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_66,plain,
extension(X1,X2,X3,X3) = X2,
inference(scs_inference,[],[i_0_36,i_0_37,i_0_32,i_0_57,i_0_34,i_0_41,i_0_33,i_0_35,i_0_31,i_0_48,i_0_53,i_0_45]) ).
cnf(i_0_67,plain,
~ equidistant(extension(X1,v,X2,X2),u,w,x),
inference(scs_inference,[],[i_0_36,i_0_37,i_0_32,i_0_57,i_0_34,i_0_41,i_0_33,i_0_35,i_0_31,i_0_48,i_0_53,i_0_45,i_0_47]) ).
cnf(i_0_68,plain,
( X1 != w
| ~ equidistant(v,u,X1,x) ),
inference(scs_inference,[],[i_0_36,i_0_37,i_0_32,i_0_57,i_0_34,i_0_41,i_0_33,i_0_35,i_0_31,i_0_48,i_0_53,i_0_45,i_0_47,i_0_49]) ).
cnf(i_0_69,plain,
( u != x
| v != w ),
inference(scs_inference,[],[i_0_36,i_0_37,i_0_60,i_0_32,i_0_57,i_0_34,i_0_41,i_0_33,i_0_35,i_0_31,i_0_48,i_0_53,i_0_45,i_0_47,i_0_49,i_0_50]) ).
cnf(i_0_70,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_71,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_72,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_73,plain,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X2,X1,X3)
| ~ between(X5,X4,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_74,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_75,plain,
( v != w
| inner_pasch(lower_dimension_point_2,lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,X1,X2),lower_dimension_point_3,lower_dimension_point_2) != lower_dimension_point_1 ),
inference(scs_inference,[],[i_0_36,i_0_37,i_0_60,i_0_32,i_0_57,i_0_34,i_0_65,i_0_72,i_0_41,i_0_33,i_0_35,i_0_31,i_0_48,i_0_53,i_0_45,i_0_47,i_0_49,i_0_50,i_0_52,i_0_27,i_0_28]) ).
cnf(i_0_76,plain,
~ equidistant(v,u,w,x),
inference(equality_inference,[],[68]) ).
cnf(i_0_77,plain,
equidistant(w,x,u,v),
inference(scs_inference,[],[i_0_39,i_0_33]) ).
cnf(i_0_78,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_79,plain,
extension(X1,v,w,x) != extension(X2,u,X3,X3),
inference(scs_inference,[],[i_0_66,i_0_62,i_0_39,i_0_33,i_0_46]) ).
cnf(i_0_80,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_81,plain,
~ equidistant(x,w,v,u),
inference(scs_inference,[],[i_0_36,i_0_66,i_0_62,i_0_38,i_0_39,i_0_33,i_0_46,i_0_31]) ).
cnf(i_0_82,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_83,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_84,plain,
~ equidistant(extension(X1,extension(X2,v,X3,X3),X4,X4),u,w,x),
inference(scs_inference,[],[i_0_36,i_0_66,i_0_80,i_0_62,i_0_67,i_0_38,i_0_39,i_0_33,i_0_46,i_0_31,i_0_47]) ).
cnf(i_0_85,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_86,plain,
~ equidistant(v,extension(X1,u,X2,X2),w,x),
inference(scs_inference,[],[i_0_36,i_0_66,i_0_80,i_0_85,i_0_62,i_0_67,i_0_38,i_0_39,i_0_33,i_0_46,i_0_31,i_0_47,i_0_48]) ).
cnf(i_0_87,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_88,plain,
~ equidistant(v,u,extension(X1,w,X2,X2),x),
inference(scs_inference,[],[i_0_36,i_0_66,i_0_80,i_0_85,i_0_87,i_0_62,i_0_67,i_0_38,i_0_39,i_0_33,i_0_46,i_0_31,i_0_47,i_0_48,i_0_49]) ).
cnf(i_0_89,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_90,plain,
~ equidistant(v,u,w,extension(X1,x,X2,X2)),
inference(scs_inference,[],[i_0_36,i_0_66,i_0_80,i_0_85,i_0_87,i_0_89,i_0_62,i_0_67,i_0_38,i_0_39,i_0_33,i_0_46,i_0_31,i_0_47,i_0_48,i_0_49,i_0_50]) ).
cnf(i_0_91,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_92,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_36,i_0_66,i_0_80,i_0_85,i_0_87,i_0_89,i_0_91,i_0_62,i_0_67,i_0_38,i_0_39,i_0_42,i_0_33,i_0_46,i_0_31,i_0_47,i_0_48,i_0_49,i_0_50,i_0_51]) ).
cnf(i_0_93,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_94,plain,
~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1),
inference(scs_inference,[],[i_0_36,i_0_66,i_0_80,i_0_85,i_0_87,i_0_89,i_0_91,i_0_93,i_0_62,i_0_67,i_0_38,i_0_39,i_0_42,i_0_33,i_0_46,i_0_31,i_0_47,i_0_48,i_0_49,i_0_50,i_0_51,i_0_52]) ).
cnf(i_0_95,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_96,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2)),
inference(scs_inference,[],[i_0_36,i_0_66,i_0_80,i_0_85,i_0_87,i_0_89,i_0_91,i_0_93,i_0_95,i_0_62,i_0_67,i_0_38,i_0_39,i_0_42,i_0_33,i_0_46,i_0_31,i_0_47,i_0_48,i_0_49,i_0_50,i_0_51,i_0_52,i_0_53]) ).
cnf(i_0_97,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_98,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_99,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| ~ equidistant(X3,X4,X3,X5)
| ~ equidistant(X1,X4,X1,X5)
| ~ equidistant(X2,X4,X2,X5)
| between(X3,X1,X2)
| X4 = X5 ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_100,plain,
( ~ equidistant(lower_dimension_point_3,X1,lower_dimension_point_3,extension(X2,lower_dimension_point_1,lower_dimension_point_1,X1))
| ~ equidistant(lower_dimension_point_2,X1,lower_dimension_point_2,extension(X2,lower_dimension_point_1,lower_dimension_point_1,X1))
| X1 = extension(X2,lower_dimension_point_1,lower_dimension_point_1,X1) ),
inference(scs_inference,[],[i_0_36,i_0_54,i_0_66,i_0_80,i_0_85,i_0_87,i_0_89,i_0_91,i_0_93,i_0_95,i_0_62,i_0_67,i_0_38,i_0_39,i_0_42,i_0_43,i_0_41,i_0_33,i_0_46,i_0_31,i_0_47,i_0_48,i_0_49,i_0_50,i_0_51,i_0_52,i_0_53,i_0_30]) ).
cnf(i_0_101,plain,
equidistant(u,v,X1,extension(X2,X1,w,x)),
inference(scs_inference,[],[i_0_77,i_0_54,i_0_31]) ).
cnf(i_0_102,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_103,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_104,plain,
~ equidistant(extension(X1,extension(X2,v,X3,X3),X4,X4),extension(X5,u,X6,X6),w,x),
inference(scs_inference,[],[i_0_84,i_0_77,i_0_54,i_0_66,i_0_31,i_0_48]) ).
cnf(i_0_105,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_106,plain,
~ equidistant(extension(X1,extension(X2,v,X3,X3),X4,X4),u,extension(X5,w,X6,X6),x),
inference(scs_inference,[],[i_0_84,i_0_77,i_0_54,i_0_66,i_0_105,i_0_31,i_0_48,i_0_49]) ).
cnf(i_0_107,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_108,plain,
~ equidistant(extension(X1,extension(X2,v,X3,X3),X4,X4),u,w,extension(X5,x,X6,X6)),
inference(scs_inference,[],[i_0_84,i_0_77,i_0_54,i_0_66,i_0_105,i_0_107,i_0_31,i_0_48,i_0_49,i_0_50]) ).
cnf(i_0_109,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_110,plain,
~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_84,i_0_77,i_0_54,i_0_66,i_0_105,i_0_107,i_0_109,i_0_92,i_0_31,i_0_48,i_0_49,i_0_50,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_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),lower_dimension_point_1),
inference(scs_inference,[],[i_0_84,i_0_77,i_0_54,i_0_66,i_0_105,i_0_107,i_0_109,i_0_111,i_0_92,i_0_31,i_0_48,i_0_49,i_0_50,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_2,X2,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,X4,X4)),
inference(scs_inference,[],[i_0_84,i_0_77,i_0_54,i_0_66,i_0_105,i_0_107,i_0_109,i_0_111,i_0_113,i_0_92,i_0_31,i_0_48,i_0_49,i_0_50,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,
~ equidistant(extension(X1,v,X2,X2),extension(X3,u,X4,X4),w,x),
inference(scs_inference,[],[i_0_84,i_0_86,i_0_77,i_0_54,i_0_66,i_0_105,i_0_107,i_0_109,i_0_111,i_0_113,i_0_115,i_0_92,i_0_31,i_0_48,i_0_49,i_0_50,i_0_51,i_0_52,i_0_53,i_0_47]) ).
cnf(i_0_117,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_118,plain,
equidistant(X1,extension(X2,X1,w,x),u,v),
inference(scs_inference,[],[i_0_84,i_0_86,i_0_77,i_0_54,i_0_66,i_0_105,i_0_107,i_0_109,i_0_111,i_0_113,i_0_115,i_0_92,i_0_31,i_0_48,i_0_49,i_0_50,i_0_51,i_0_52,i_0_53,i_0_47,i_0_33]) ).
cnf(i_0_119,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_120,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_121,plain,
( ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),X3,extension(X1,lower_dimension_point_2,X2,X2),extension(X4,lower_dimension_point_1,lower_dimension_point_1,X3))
| ~ equidistant(lower_dimension_point_3,X3,lower_dimension_point_3,extension(X4,lower_dimension_point_1,lower_dimension_point_1,X3))
| between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2))
| between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3)
| X3 = extension(X4,lower_dimension_point_1,lower_dimension_point_1,X3) ),
inference(scs_inference,[],[i_0_84,i_0_86,i_0_77,i_0_54,i_0_102,i_0_66,i_0_105,i_0_107,i_0_109,i_0_111,i_0_113,i_0_115,i_0_92,i_0_31,i_0_48,i_0_49,i_0_50,i_0_51,i_0_52,i_0_53,i_0_47,i_0_33,i_0_30]) ).
cnf(i_0_122,plain,
equidistant(X1,extension(X2,X1,w,x),X3,extension(X4,X3,u,v)),
inference(scs_inference,[],[i_0_101,i_0_54,i_0_31]) ).
cnf(i_0_123,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_124,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_125,plain,
~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),extension(X5,lower_dimension_point_3,X6,X6),lower_dimension_point_1),
inference(scs_inference,[],[i_0_101,i_0_54,i_0_66,i_0_112,i_0_31,i_0_51]) ).
cnf(i_0_126,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_127,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),X6,X6),lower_dimension_point_1),
inference(scs_inference,[],[i_0_101,i_0_54,i_0_66,i_0_126,i_0_112,i_0_31,i_0_51,i_0_52]) ).
cnf(i_0_128,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_129,plain,
~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),lower_dimension_point_3,extension(X5,lower_dimension_point_1,X6,X6)),
inference(scs_inference,[],[i_0_101,i_0_54,i_0_66,i_0_126,i_0_128,i_0_110,i_0_112,i_0_31,i_0_51,i_0_52,i_0_53]) ).
cnf(i_0_130,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_131,plain,
~ equidistant(extension(X1,extension(X2,v,X3,X3),X4,X4),extension(X5,u,X6,X6),extension(X7,w,X8,X8),x),
inference(scs_inference,[],[i_0_106,i_0_101,i_0_54,i_0_66,i_0_126,i_0_128,i_0_130,i_0_110,i_0_112,i_0_31,i_0_51,i_0_52,i_0_53,i_0_48]) ).
cnf(i_0_132,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_133,plain,
~ equidistant(extension(X1,extension(X2,v,X3,X3),X4,X4),u,extension(X5,w,X6,X6),extension(X7,x,X8,X8)),
inference(scs_inference,[],[i_0_106,i_0_108,i_0_101,i_0_54,i_0_66,i_0_126,i_0_128,i_0_130,i_0_132,i_0_110,i_0_112,i_0_31,i_0_51,i_0_52,i_0_53,i_0_48,i_0_49]) ).
cnf(i_0_134,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_135,plain,
~ equidistant(extension(X1,extension(X2,v,X3,X3),X4,X4),extension(X5,u,X6,X6),w,extension(X7,x,X8,X8)),
inference(scs_inference,[],[i_0_104,i_0_106,i_0_108,i_0_101,i_0_54,i_0_66,i_0_126,i_0_128,i_0_130,i_0_132,i_0_134,i_0_110,i_0_112,i_0_31,i_0_51,i_0_52,i_0_53,i_0_48,i_0_49,i_0_50]) ).
cnf(i_0_136,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_137,plain,
~ equidistant(extension(X1,v,X2,X2),u,extension(X3,w,X4,X4),x),
inference(scs_inference,[],[i_0_104,i_0_106,i_0_108,i_0_101,i_0_88,i_0_54,i_0_66,i_0_126,i_0_128,i_0_130,i_0_132,i_0_134,i_0_136,i_0_110,i_0_112,i_0_31,i_0_51,i_0_52,i_0_53,i_0_48,i_0_49,i_0_50,i_0_47]) ).
cnf(i_0_138,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_139,plain,
equidistant(X1,extension(X2,X1,u,v),X3,extension(X4,X3,w,x)),
inference(scs_inference,[],[i_0_104,i_0_106,i_0_108,i_0_101,i_0_88,i_0_54,i_0_66,i_0_126,i_0_128,i_0_130,i_0_132,i_0_134,i_0_136,i_0_110,i_0_112,i_0_31,i_0_51,i_0_52,i_0_53,i_0_48,i_0_49,i_0_50,i_0_47,i_0_33]) ).
cnf(i_0_140,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_141,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_143,plain,
equidistant(X1,extension(X2,X1,u,v),X3,extension(X4,X3,X5,extension(X6,X5,w,x))),
inference(scs_inference,[],[i_0_122,i_0_54,i_0_31]) ).
cnf(i_0_144,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_145,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_146,plain,
~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
inference(scs_inference,[],[i_0_122,i_0_54,i_0_66,i_0_125,i_0_31,i_0_53]) ).
cnf(i_0_147,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_148,plain,
~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,lower_dimension_point_3),
inference(scs_inference,[],[i_0_122,i_0_54,i_0_66,i_0_147,i_0_125,i_0_43,i_0_31,i_0_53,i_0_51]) ).
cnf(i_0_149,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_150,plain,
~ equidistant(extension(X1,extension(X2,v,X3,X3),X4,X4),extension(X5,u,X6,X6),extension(X7,w,X8,X8),extension(X9,x,X10,X10)),
inference(scs_inference,[],[i_0_122,i_0_133,i_0_54,i_0_66,i_0_147,i_0_149,i_0_125,i_0_43,i_0_31,i_0_53,i_0_51,i_0_48]) ).
cnf(i_0_151,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_152,plain,
~ equidistant(extension(X1,v,X2,X2),extension(X3,u,X4,X4),w,extension(X5,x,X6,X6)),
inference(scs_inference,[],[i_0_122,i_0_133,i_0_116,i_0_54,i_0_66,i_0_147,i_0_149,i_0_151,i_0_125,i_0_43,i_0_31,i_0_53,i_0_51,i_0_48,i_0_50]) ).
cnf(i_0_153,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_154,plain,
~ between(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_122,i_0_133,i_0_116,i_0_54,i_0_66,i_0_147,i_0_149,i_0_151,i_0_153,i_0_125,i_0_114,i_0_43,i_0_31,i_0_53,i_0_51,i_0_48,i_0_50,i_0_52]) ).
cnf(i_0_155,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_156,plain,
~ equidistant(extension(X1,v,X2,X2),extension(X3,u,X4,X4),extension(X5,w,X6,X6),x),
inference(scs_inference,[],[i_0_122,i_0_133,i_0_116,i_0_54,i_0_66,i_0_147,i_0_149,i_0_151,i_0_153,i_0_155,i_0_125,i_0_114,i_0_43,i_0_31,i_0_53,i_0_51,i_0_48,i_0_50,i_0_52,i_0_49]) ).
cnf(i_0_157,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_158,plain,
~ equidistant(extension(X1,v,X2,X2),u,w,extension(X3,x,X4,X4)),
inference(scs_inference,[],[i_0_122,i_0_133,i_0_116,i_0_90,i_0_54,i_0_66,i_0_147,i_0_149,i_0_151,i_0_153,i_0_155,i_0_157,i_0_125,i_0_114,i_0_43,i_0_31,i_0_53,i_0_51,i_0_48,i_0_50,i_0_52,i_0_49,i_0_47]) ).
cnf(i_0_159,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_160,plain,
equidistant(X1,extension(X2,X1,X3,extension(X4,X3,w,x)),X5,extension(X6,X5,u,v)),
inference(scs_inference,[],[i_0_122,i_0_133,i_0_116,i_0_90,i_0_54,i_0_66,i_0_147,i_0_149,i_0_151,i_0_153,i_0_155,i_0_157,i_0_125,i_0_114,i_0_43,i_0_31,i_0_53,i_0_51,i_0_48,i_0_50,i_0_52,i_0_49,i_0_47,i_0_33]) ).
cnf(i_0_161,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_162,plain,
equidistant(X1,extension(X2,X1,w,x),X3,extension(X4,X3,u,v)),
inference(rename_variables,[],[i_0_122]) ).
cnf(i_0_163,plain,
( ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_1,w,x),extension(X1,lower_dimension_point_2,X2,X2),extension(X4,lower_dimension_point_1,u,v))
| ~ equidistant(lower_dimension_point_3,extension(X3,lower_dimension_point_1,w,x),lower_dimension_point_3,extension(X4,lower_dimension_point_1,u,v))
| between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2))
| between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3)
| extension(X3,lower_dimension_point_1,w,x) = extension(X4,lower_dimension_point_1,u,v) ),
inference(scs_inference,[],[i_0_122,i_0_133,i_0_116,i_0_90,i_0_54,i_0_66,i_0_147,i_0_149,i_0_151,i_0_153,i_0_155,i_0_157,i_0_125,i_0_92,i_0_114,i_0_43,i_0_31,i_0_53,i_0_51,i_0_48,i_0_50,i_0_52,i_0_49,i_0_47,i_0_33,i_0_30]) ).
cnf(i_0_164,plain,
equidistant(X1,extension(X2,X1,X3,extension(X4,X3,w,x)),X5,extension(X6,X5,w,x)),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_31]) ).
cnf(i_0_165,plain,
equidistant(X1,extension(X2,X1,u,v),X3,extension(X4,X3,w,x)),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_166,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_167,plain,
~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,extension(X3,lower_dimension_point_3,X4,X4)),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_66,i_0_148,i_0_31,i_0_53]) ).
cnf(i_0_168,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_169,plain,
~ equidistant(extension(X1,v,X2,X2),extension(X3,extension(X4,u,X5,X5),X6,X6),w,extension(X7,x,X8,X8)),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_152,i_0_66,i_0_168,i_0_148,i_0_31,i_0_53,i_0_48]) ).
cnf(i_0_170,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_171,plain,
~ equidistant(extension(X1,v,X2,X2),extension(X3,u,X4,X4),w,extension(X5,extension(X6,x,X7,X7),X8,X8)),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_152,i_0_66,i_0_168,i_0_170,i_0_148,i_0_31,i_0_53,i_0_48,i_0_50]) ).
cnf(i_0_172,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_173,plain,
~ equidistant(extension(X1,v,X2,X2),extension(X3,u,X4,X4),extension(X5,w,X6,X6),extension(X7,x,X8,X8)),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_152,i_0_66,i_0_168,i_0_170,i_0_172,i_0_148,i_0_31,i_0_53,i_0_48,i_0_50,i_0_49]) ).
cnf(i_0_174,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_175,plain,
~ between(extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X4,X4),lower_dimension_point_2,lower_dimension_point_3),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_152,i_0_66,i_0_168,i_0_170,i_0_172,i_0_174,i_0_148,i_0_31,i_0_53,i_0_48,i_0_50,i_0_49,i_0_51]) ).
cnf(i_0_176,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_177,plain,
~ between(extension(X1,lower_dimension_point_1,X2,X2),extension(X3,lower_dimension_point_2,X4,X4),lower_dimension_point_3),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_152,i_0_66,i_0_168,i_0_170,i_0_172,i_0_174,i_0_176,i_0_148,i_0_31,i_0_53,i_0_48,i_0_50,i_0_49,i_0_51,i_0_52]) ).
cnf(i_0_178,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_179,plain,
~ equidistant(extension(X1,w,X2,X2),x,v,u),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_152,i_0_59,i_0_66,i_0_168,i_0_170,i_0_172,i_0_174,i_0_176,i_0_178,i_0_148,i_0_31,i_0_53,i_0_48,i_0_50,i_0_49,i_0_51,i_0_52,i_0_47]) ).
cnf(i_0_180,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_181,plain,
equidistant(X1,extension(X2,X1,w,x),X3,extension(X4,X3,X5,extension(X6,X5,w,x))),
inference(scs_inference,[],[i_0_143,i_0_139,i_0_152,i_0_59,i_0_66,i_0_168,i_0_170,i_0_172,i_0_174,i_0_176,i_0_178,i_0_148,i_0_31,i_0_53,i_0_48,i_0_50,i_0_49,i_0_51,i_0_52,i_0_47,i_0_33]) ).
cnf(i_0_182,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_183,plain,
~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,lower_dimension_point_3),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_184,plain,
equidistant(X1,extension(X2,X1,X3,extension(X4,X3,w,x)),X5,extension(X6,X5,u,v)),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_185,plain,
( ~ equidistant(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,extension(X3,X2,w,x)),lower_dimension_point_2,extension(X4,lower_dimension_point_3,u,v))
| ~ equidistant(extension(X5,lower_dimension_point_1,X6,X6),extension(X1,lower_dimension_point_3,X2,extension(X3,X2,w,x)),extension(X5,lower_dimension_point_1,X6,X6),extension(X4,lower_dimension_point_3,u,v))
| between(lower_dimension_point_3,extension(X5,lower_dimension_point_1,X6,X6),lower_dimension_point_2)
| extension(X1,lower_dimension_point_3,X2,extension(X3,X2,w,x)) = extension(X4,lower_dimension_point_3,u,v) ),
inference(scs_inference,[],[i_0_160,i_0_143,i_0_139,i_0_152,i_0_59,i_0_66,i_0_168,i_0_170,i_0_172,i_0_174,i_0_176,i_0_178,i_0_148,i_0_96,i_0_31,i_0_53,i_0_48,i_0_50,i_0_49,i_0_51,i_0_52,i_0_47,i_0_33,i_0_30]) ).
cnf(i_0_186,plain,
equidistant(X1,extension(X2,X1,X3,extension(X4,X3,w,x)),u,v),
inference(scs_inference,[],[i_0_181,i_0_118,i_0_31]) ).
cnf(i_0_187,plain,
equidistant(X1,extension(X2,X1,w,x),u,v),
inference(rename_variables,[],[i_0_118]) ).
cnf(i_0_188,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_189,plain,
~ between(extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X4,X4),lower_dimension_point_2,extension(X5,lower_dimension_point_3,X6,X6)),
inference(scs_inference,[],[i_0_181,i_0_118,i_0_66,i_0_175,i_0_31,i_0_53]) ).
cnf(i_0_190,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_191,plain,
~ equidistant(extension(X1,v,X2,X2),extension(X3,extension(X4,u,X5,X5),X6,X6),extension(X7,w,X8,X8),extension(X9,x,X10,X10)),
inference(scs_inference,[],[i_0_181,i_0_173,i_0_118,i_0_66,i_0_190,i_0_175,i_0_31,i_0_53,i_0_48]) ).
cnf(i_0_192,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_193,plain,
~ between(extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X4,X4),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3),
inference(scs_inference,[],[i_0_181,i_0_173,i_0_118,i_0_66,i_0_190,i_0_192,i_0_175,i_0_177,i_0_31,i_0_53,i_0_48,i_0_51]) ).
cnf(i_0_194,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_195,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
inference(scs_inference,[],[i_0_181,i_0_173,i_0_118,i_0_66,i_0_190,i_0_192,i_0_194,i_0_175,i_0_154,i_0_177,i_0_31,i_0_53,i_0_48,i_0_51,i_0_52]) ).
cnf(i_0_196,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_197,plain,
~ equidistant(extension(X1,v,X2,X2),extension(X3,u,X4,X4),extension(X5,w,X6,X6),extension(X7,extension(X8,x,X9,X9),X10,X10)),
inference(scs_inference,[],[i_0_181,i_0_173,i_0_118,i_0_66,i_0_190,i_0_192,i_0_194,i_0_196,i_0_175,i_0_154,i_0_177,i_0_31,i_0_53,i_0_48,i_0_51,i_0_52,i_0_50]) ).
cnf(i_0_198,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_199,plain,
~ equidistant(extension(X1,v,X2,X2),extension(X3,u,X4,X4),extension(X5,extension(X6,w,X7,X7),X8,X8),extension(X9,x,X10,X10)),
inference(scs_inference,[],[i_0_181,i_0_173,i_0_118,i_0_66,i_0_190,i_0_192,i_0_194,i_0_196,i_0_198,i_0_175,i_0_154,i_0_177,i_0_31,i_0_53,i_0_48,i_0_51,i_0_52,i_0_50,i_0_49]) ).
cnf(i_0_200,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_201,plain,
~ equidistant(extension(X1,extension(X2,w,X3,X3),X4,X4),x,v,u),
inference(scs_inference,[],[i_0_181,i_0_173,i_0_118,i_0_179,i_0_66,i_0_190,i_0_192,i_0_194,i_0_196,i_0_198,i_0_200,i_0_175,i_0_154,i_0_177,i_0_31,i_0_53,i_0_48,i_0_51,i_0_52,i_0_50,i_0_49,i_0_47]) ).
cnf(i_0_202,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_203,plain,
equidistant(u,v,X1,extension(X2,X1,X3,extension(X4,X3,w,x))),
inference(scs_inference,[],[i_0_181,i_0_173,i_0_118,i_0_179,i_0_66,i_0_190,i_0_192,i_0_194,i_0_196,i_0_198,i_0_200,i_0_175,i_0_154,i_0_177,i_0_31,i_0_53,i_0_48,i_0_51,i_0_52,i_0_50,i_0_49,i_0_47,i_0_33]) ).
cnf(i_0_204,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_205,plain,
~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,lower_dimension_point_3),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_206,plain,
equidistant(X1,extension(X2,X1,X3,extension(X4,X3,w,x)),X5,extension(X6,X5,w,x)),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_207,plain,
( ~ equidistant(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,extension(X3,X2,w,x)),lower_dimension_point_2,extension(X4,lower_dimension_point_3,w,x))
| ~ equidistant(extension(X5,lower_dimension_point_1,X6,X6),extension(X1,lower_dimension_point_3,X2,extension(X3,X2,w,x)),extension(X5,lower_dimension_point_1,X6,X6),extension(X4,lower_dimension_point_3,w,x))
| between(lower_dimension_point_3,extension(X5,lower_dimension_point_1,X6,X6),lower_dimension_point_2)
| extension(X1,lower_dimension_point_3,X2,extension(X3,X2,w,x)) = extension(X4,lower_dimension_point_3,w,x) ),
inference(scs_inference,[],[i_0_164,i_0_181,i_0_173,i_0_118,i_0_179,i_0_66,i_0_190,i_0_192,i_0_194,i_0_196,i_0_198,i_0_200,i_0_175,i_0_148,i_0_154,i_0_177,i_0_96,i_0_31,i_0_53,i_0_48,i_0_51,i_0_52,i_0_50,i_0_49,i_0_47,i_0_33,i_0_30]) ).
cnf(i_0_208,plain,
$false,
inference(scs_inference,[],[i_0_36,i_0_38,i_0_39,i_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO016-3 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 4 17:36:11 EDT 2026
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % start to proof: theBenchmark
% 0.29/1.62 % Version : CSE_E---1.7
% 0.29/1.62 % Problem : theBenchmark.p
% 0.29/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.29/1.62 % SZS output start CNFRefutation
% See solution above
% 0.59/1.92 % Total time : 1.272s
%------------------------------------------------------------------------------