%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO022-3 : 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 : n023.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 04:19:02 PM UTC 2026
% Result : Unsatisfiable 0.34s 1.61s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 94)
% 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(d4_1,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_1) ).
cnf(d3,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).
cnf(d4_2,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(d4_3,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_3) ).
cnf(d4_4,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_5) ).
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_transitivity,negated_conjecture,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).
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(w_to_x_equals_y_to_z,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
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_29,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_30,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_31,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_32,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_33,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_34,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_35,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_36,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_37,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_38,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance,
[final] ).
cnf(i_0_39,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2,
[final] ).
cnf(i_0_40,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_1,
[final] ).
cnf(i_0_41,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
d3,
[final] ).
cnf(i_0_42,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_2,
[final] ).
cnf(i_0_43,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2,
[final] ).
cnf(i_0_44,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_3,
[final] ).
cnf(i_0_45,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4,
[final] ).
cnf(i_0_46,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5,
[final] ).
cnf(i_0_47,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1,
[final] ).
cnf(i_0_48,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance,
[final] ).
cnf(i_0_49,negated_conjecture,
~ equidistant(u,v,y,z),
prove_transitivity,
[final] ).
cnf(i_0_50,axiom,
equidistant(X1,X2,X1,X2),
d1,
[final] ).
cnf(i_0_51,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance,
[final] ).
cnf(i_0_52,hypothesis,
equidistant(w,x,y,z),
w_to_x_equals_y_to_z,
[final] ).
cnf(i_0_53,hypothesis,
equidistant(u,v,w,x),
u_to_v_equals_w_to_x,
[final] ).
cnf(i_0_54,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness,
[final] ).
cnf(i_0_55,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
lower_dimension3,
[final] ).
cnf(i_0_56,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
lower_dimension2,
[final] ).
cnf(i_0_57,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
lower_dimension1,
[final] ).
cnf(i_0_58,axiom,
X1 = X1 ).
cnf(i_0_59,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_60,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_61,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_62,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_63,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_64,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_65,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_66,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_67,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_58_001,axiom,
X1 = X1 ).
cnf(i_0_59_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_60_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_61_004,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_62_005,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_63_006,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_64_007,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_65_008,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_66_009,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_67_010,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_68,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_39,i_0_40]) ).
cnf(i_0_69,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_70,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(scs_inference,[],[i_0_39,i_0_40,i_0_41]) ).
cnf(i_0_71,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_72,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(scs_inference,[],[i_0_39,i_0_40,i_0_41,i_0_42]) ).
cnf(i_0_73,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_74,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(scs_inference,[],[i_0_39,i_0_40,i_0_41,i_0_42,i_0_43]) ).
cnf(i_0_75,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_76,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(scs_inference,[],[i_0_39,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44]) ).
cnf(i_0_77,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_78,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(scs_inference,[],[i_0_39,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45]) ).
cnf(i_0_79,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_80,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(scs_inference,[],[i_0_39,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46]) ).
cnf(i_0_81,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_82,plain,
X1 = extension(X2,X1,X3,X3),
inference(scs_inference,[],[i_0_39,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48]) ).
cnf(i_0_83,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_84,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_85,plain,
~ equidistant(y,z,u,v),
inference(scs_inference,[],[i_0_49,i_0_50,i_0_39,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48,i_0_38]) ).
cnf(i_0_86,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_87,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_88,plain,
extension(X1,u,y,z) != v,
inference(scs_inference,[],[i_0_49,i_0_50,i_0_39,i_0_83,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48,i_0_38,i_0_62]) ).
cnf(i_0_89,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_90,plain,
extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
inference(scs_inference,[],[i_0_49,i_0_50,i_0_39,i_0_83,i_0_47,i_0_55,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48,i_0_38,i_0_62,i_0_67]) ).
cnf(i_0_91,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_92,plain,
extension(X1,X2,X3,X3) = X2,
inference(scs_inference,[],[i_0_49,i_0_50,i_0_39,i_0_83,i_0_47,i_0_55,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48,i_0_38,i_0_62,i_0_67,i_0_59]) ).
cnf(i_0_93,plain,
~ equidistant(extension(X1,u,X2,X2),v,y,z),
inference(scs_inference,[],[i_0_49,i_0_50,i_0_39,i_0_83,i_0_47,i_0_55,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48,i_0_38,i_0_62,i_0_67,i_0_59,i_0_61]) ).
cnf(i_0_94,plain,
( X1 != y
| ~ equidistant(u,v,X1,z) ),
inference(scs_inference,[],[i_0_49,i_0_50,i_0_39,i_0_83,i_0_47,i_0_55,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48,i_0_38,i_0_62,i_0_67,i_0_59,i_0_61,i_0_63]) ).
cnf(i_0_95,plain,
( v != z
| u != y ),
inference(scs_inference,[],[i_0_49,i_0_50,i_0_86,i_0_39,i_0_83,i_0_47,i_0_55,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48,i_0_38,i_0_62,i_0_67,i_0_59,i_0_61,i_0_63,i_0_64]) ).
cnf(i_0_96,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_97,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_98,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_99,plain,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X2,X1,X3)
| ~ between(X5,X4,X3) ),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_100,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_101,plain,
( u != y
| 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_49,i_0_50,i_0_86,i_0_39,i_0_83,i_0_47,i_0_91,i_0_98,i_0_55,i_0_40,i_0_41,i_0_42,i_0_43,i_0_44,i_0_45,i_0_46,i_0_48,i_0_38,i_0_62,i_0_67,i_0_59,i_0_61,i_0_63,i_0_64,i_0_66,i_0_34,i_0_35]) ).
cnf(i_0_102,plain,
~ equidistant(u,v,y,z),
inference(equality_inference,[],[94]) ).
cnf(i_0_103,plain,
extension(X1,z,u,v) != y,
inference(scs_inference,[],[i_0_76,i_0_94]) ).
cnf(i_0_104,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_105,plain,
equidistant(y,z,w,x),
inference(scs_inference,[],[i_0_76,i_0_52,i_0_94,i_0_43]) ).
cnf(i_0_106,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_107,plain,
equidistant(z,y,x,w),
inference(scs_inference,[],[i_0_76,i_0_52,i_0_94,i_0_43,i_0_46]) ).
cnf(i_0_108,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_109,plain,
equidistant(w,x,z,y),
inference(scs_inference,[],[i_0_76,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40]) ).
cnf(i_0_110,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_111,plain,
equidistant(x,w,y,z),
inference(scs_inference,[],[i_0_76,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41]) ).
cnf(i_0_112,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_113,plain,
equidistant(x,w,z,y),
inference(scs_inference,[],[i_0_76,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42]) ).
cnf(i_0_114,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_115,plain,
equidistant(y,z,x,w),
inference(scs_inference,[],[i_0_76,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44]) ).
cnf(i_0_116,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_117,plain,
equidistant(z,y,w,x),
inference(scs_inference,[],[i_0_76,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45]) ).
cnf(i_0_118,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_119,plain,
extension(X1,u,y,z) != extension(X2,v,X3,X3),
inference(scs_inference,[],[i_0_76,i_0_92,i_0_88,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60]) ).
cnf(i_0_120,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_121,plain,
~ equidistant(X1,extension(X2,X1,z,y),u,v),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_76,i_0_92,i_0_88,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38]) ).
cnf(i_0_122,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_123,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_124,plain,
~ equidistant(extension(X1,extension(X2,u,X3,X3),X4,X4),v,y,z),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_76,i_0_92,i_0_120,i_0_88,i_0_93,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38,i_0_61]) ).
cnf(i_0_125,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_126,plain,
~ equidistant(u,extension(X1,v,X2,X2),y,z),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_76,i_0_92,i_0_120,i_0_125,i_0_88,i_0_93,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38,i_0_61,i_0_62]) ).
cnf(i_0_127,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_128,plain,
~ equidistant(u,v,extension(X1,y,X2,X2),z),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_76,i_0_92,i_0_120,i_0_125,i_0_127,i_0_88,i_0_93,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38,i_0_61,i_0_62,i_0_63]) ).
cnf(i_0_129,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_130,plain,
~ equidistant(u,v,y,extension(X1,z,X2,X2)),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_76,i_0_92,i_0_120,i_0_125,i_0_127,i_0_129,i_0_88,i_0_93,i_0_52,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38,i_0_61,i_0_62,i_0_63,i_0_64]) ).
cnf(i_0_131,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_132,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_76,i_0_92,i_0_120,i_0_125,i_0_127,i_0_129,i_0_131,i_0_88,i_0_93,i_0_52,i_0_56,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38,i_0_61,i_0_62,i_0_63,i_0_64,i_0_65]) ).
cnf(i_0_133,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_134,plain,
~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_76,i_0_92,i_0_120,i_0_125,i_0_127,i_0_129,i_0_131,i_0_133,i_0_88,i_0_93,i_0_52,i_0_56,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38,i_0_61,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66]) ).
cnf(i_0_135,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_136,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2)),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_76,i_0_92,i_0_120,i_0_125,i_0_127,i_0_129,i_0_131,i_0_133,i_0_135,i_0_88,i_0_93,i_0_52,i_0_56,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38,i_0_61,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).
cnf(i_0_137,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_138,plain,
( ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2,lower_dimension_point_2)
| ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_3,lower_dimension_point_2) ),
inference(scs_inference,[],[i_0_49,i_0_68,i_0_122,i_0_76,i_0_92,i_0_120,i_0_125,i_0_127,i_0_129,i_0_131,i_0_133,i_0_135,i_0_88,i_0_93,i_0_90,i_0_52,i_0_56,i_0_57,i_0_55,i_0_94,i_0_43,i_0_46,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_60,i_0_38,i_0_61,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_37]) ).
cnf(i_0_139,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_140,plain,
extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_141,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_37]) ).
cnf(i_0_143,plain,
equidistant(x,w,v,u),
inference(scs_inference,[],[i_0_53,i_0_46]) ).
cnf(i_0_144,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_145,plain,
equidistant(w,x,u,v),
inference(scs_inference,[],[i_0_53,i_0_46,i_0_43]) ).
cnf(i_0_146,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_147,plain,
equidistant(u,v,x,w),
inference(scs_inference,[],[i_0_53,i_0_46,i_0_43,i_0_40]) ).
cnf(i_0_148,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_149,plain,
equidistant(v,u,w,x),
inference(scs_inference,[],[i_0_53,i_0_46,i_0_43,i_0_40,i_0_41]) ).
cnf(i_0_150,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_151,plain,
equidistant(v,u,x,w),
inference(scs_inference,[],[i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42]) ).
cnf(i_0_152,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_153,plain,
equidistant(w,x,v,u),
inference(scs_inference,[],[i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44]) ).
cnf(i_0_154,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_155,plain,
equidistant(x,w,u,v),
inference(scs_inference,[],[i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45]) ).
cnf(i_0_156,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_157,plain,
extension(X1,z,v,u) != y,
inference(scs_inference,[],[i_0_80,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94]) ).
cnf(i_0_158,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_159,plain,
~ equidistant(extension(X1,X2,y,z),X2,u,v),
inference(scs_inference,[],[i_0_49,i_0_70,i_0_80,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38]) ).
cnf(i_0_160,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_161,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_162,plain,
extension(X1,z,u,v) != extension(X2,y,X3,X3),
inference(scs_inference,[],[i_0_49,i_0_70,i_0_80,i_0_103,i_0_92,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60]) ).
cnf(i_0_163,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_164,plain,
~ equidistant(X1,extension(X2,extension(X3,X1,z,y),X4,X4),u,v),
inference(scs_inference,[],[i_0_49,i_0_70,i_0_80,i_0_121,i_0_103,i_0_92,i_0_163,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60,i_0_62]) ).
cnf(i_0_165,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_166,plain,
~ equidistant(X1,extension(X2,X1,z,y),extension(X3,u,X4,X4),v),
inference(scs_inference,[],[i_0_49,i_0_70,i_0_80,i_0_121,i_0_103,i_0_92,i_0_163,i_0_165,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60,i_0_62,i_0_63]) ).
cnf(i_0_167,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_168,plain,
~ equidistant(X1,extension(X2,X1,z,y),u,extension(X3,v,X4,X4)),
inference(scs_inference,[],[i_0_49,i_0_70,i_0_80,i_0_121,i_0_103,i_0_92,i_0_163,i_0_165,i_0_167,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60,i_0_62,i_0_63,i_0_64]) ).
cnf(i_0_169,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_170,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_49,i_0_70,i_0_80,i_0_121,i_0_103,i_0_92,i_0_163,i_0_165,i_0_167,i_0_169,i_0_132,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60,i_0_62,i_0_63,i_0_64,i_0_65]) ).
cnf(i_0_171,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_172,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_49,i_0_70,i_0_80,i_0_121,i_0_103,i_0_92,i_0_163,i_0_165,i_0_167,i_0_169,i_0_171,i_0_132,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66]) ).
cnf(i_0_173,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_174,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_49,i_0_70,i_0_80,i_0_121,i_0_103,i_0_92,i_0_163,i_0_165,i_0_167,i_0_169,i_0_171,i_0_173,i_0_132,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).
cnf(i_0_175,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_176,plain,
~ equidistant(extension(X1,X2,X3,X3),extension(X4,X2,z,y),u,v),
inference(scs_inference,[],[i_0_49,i_0_70,i_0_80,i_0_121,i_0_103,i_0_92,i_0_163,i_0_165,i_0_167,i_0_169,i_0_171,i_0_173,i_0_175,i_0_132,i_0_53,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_61]) ).
cnf(i_0_177,plain,
~ equidistant(X1,extension(X2,X1,z,y),u,v),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_178,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_179,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_37]) ).
cnf(i_0_180,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_181,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_182,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_183,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_184,plain,
extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_185,plain,
( ~ between(X1,lower_dimension_point_2,extension(extension(lower_dimension_point_3,lower_dimension_point_1,X1,extension(X2,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)),lower_dimension_point_2,X3,X4))
| equidistant(extension(extension(lower_dimension_point_3,lower_dimension_point_1,X1,extension(X2,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)),lower_dimension_point_2,X3,X4),lower_dimension_point_1,extension(extension(lower_dimension_point_3,lower_dimension_point_1,X1,extension(X2,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)),lower_dimension_point_2,X3,X4),extension(X2,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1))
| ~ equidistant(extension(lower_dimension_point_3,lower_dimension_point_1,X1,extension(X2,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)),lower_dimension_point_2,X1,lower_dimension_point_2) ),
inference(scs_inference,[],[i_0_49,i_0_70,i_0_160,i_0_74,i_0_178,i_0_80,i_0_121,i_0_103,i_0_92,i_0_163,i_0_165,i_0_167,i_0_169,i_0_171,i_0_173,i_0_175,i_0_132,i_0_53,i_0_50,i_0_47,i_0_90,i_0_46,i_0_43,i_0_40,i_0_41,i_0_42,i_0_44,i_0_45,i_0_94,i_0_38,i_0_60,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_61,i_0_36]) ).
cnf(i_0_186,plain,
~ equidistant(extension(X1,X2,z,y),X2,u,v),
inference(scs_inference,[],[i_0_49,i_0_72,i_0_38]) ).
cnf(i_0_187,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_72]) ).
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_38]) ).
cnf(i_0_189,plain,
extension(X1,z,v,u) != extension(X2,y,X3,X3),
inference(scs_inference,[],[i_0_49,i_0_72,i_0_157,i_0_92,i_0_38,i_0_60]) ).
cnf(i_0_190,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_191,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_49,i_0_72,i_0_157,i_0_92,i_0_190,i_0_172,i_0_38,i_0_60,i_0_65]) ).
cnf(i_0_192,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_193,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_49,i_0_72,i_0_157,i_0_92,i_0_190,i_0_192,i_0_172,i_0_38,i_0_60,i_0_65,i_0_66]) ).
cnf(i_0_194,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_195,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_49,i_0_72,i_0_157,i_0_92,i_0_190,i_0_192,i_0_194,i_0_170,i_0_172,i_0_38,i_0_60,i_0_65,i_0_66,i_0_67]) ).
cnf(i_0_196,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_197,plain,
~ equidistant(X1,extension(X2,extension(X3,X1,z,y),X4,X4),extension(X5,u,X6,X6),v),
inference(scs_inference,[],[i_0_49,i_0_72,i_0_166,i_0_157,i_0_92,i_0_190,i_0_192,i_0_194,i_0_196,i_0_170,i_0_172,i_0_38,i_0_60,i_0_65,i_0_66,i_0_67,i_0_62]) ).
cnf(i_0_198,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_199,plain,
~ equidistant(X1,extension(X2,X1,z,y),extension(X3,extension(X4,u,X5,X5),X6,X6),v),
inference(scs_inference,[],[i_0_49,i_0_72,i_0_166,i_0_157,i_0_92,i_0_190,i_0_192,i_0_194,i_0_196,i_0_198,i_0_170,i_0_172,i_0_38,i_0_60,i_0_65,i_0_66,i_0_67,i_0_62,i_0_63]) ).
cnf(i_0_200,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_201,plain,
~ equidistant(X1,extension(X2,X1,z,y),extension(X3,u,X4,X4),extension(X5,v,X6,X6)),
inference(scs_inference,[],[i_0_49,i_0_72,i_0_166,i_0_157,i_0_92,i_0_190,i_0_192,i_0_194,i_0_196,i_0_198,i_0_200,i_0_170,i_0_172,i_0_38,i_0_60,i_0_65,i_0_66,i_0_67,i_0_62,i_0_63,i_0_64]) ).
cnf(i_0_202,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_203,plain,
~ equidistant(extension(X1,X2,X3,X3),extension(X4,X2,z,y),extension(X5,u,X6,X6),v),
inference(scs_inference,[],[i_0_49,i_0_72,i_0_166,i_0_157,i_0_92,i_0_190,i_0_192,i_0_194,i_0_196,i_0_198,i_0_200,i_0_202,i_0_170,i_0_172,i_0_38,i_0_60,i_0_65,i_0_66,i_0_67,i_0_62,i_0_63,i_0_64,i_0_61]) ).
cnf(i_0_204,plain,
~ equidistant(X1,extension(X2,X1,z,y),extension(X3,u,X4,X4),v),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_205,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_206,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_37]) ).
cnf(i_0_207,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_208,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_209,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_210,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_211,plain,
extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_212,plain,
( ~ between(X1,lower_dimension_point_2,extension(extension(lower_dimension_point_3,lower_dimension_point_1,extension(X2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),X1),lower_dimension_point_2,X3,X4))
| equidistant(extension(extension(lower_dimension_point_3,lower_dimension_point_1,extension(X2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),X1),lower_dimension_point_2,X3,X4),lower_dimension_point_1,extension(extension(lower_dimension_point_3,lower_dimension_point_1,extension(X2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),X1),lower_dimension_point_2,X3,X4),extension(X2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(extension(lower_dimension_point_3,lower_dimension_point_1,extension(X2,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),X1),lower_dimension_point_2,X1,lower_dimension_point_2) ),
inference(scs_inference,[],[i_0_49,i_0_72,i_0_187,i_0_78,i_0_205,i_0_166,i_0_157,i_0_92,i_0_190,i_0_192,i_0_194,i_0_196,i_0_198,i_0_200,i_0_202,i_0_170,i_0_132,i_0_172,i_0_50,i_0_47,i_0_90,i_0_38,i_0_60,i_0_65,i_0_66,i_0_67,i_0_62,i_0_63,i_0_64,i_0_61,i_0_36]) ).
cnf(i_0_213,plain,
$false,
inference(scs_inference,[],[i_0_49,i_0_111,i_0_155,i_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO022-3 : 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
% 0.16/0.33 % Computer : n023.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 17:38:54 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.34/1.61 % Version : CSE_E---1.7
% 0.34/1.61 % Problem : theBenchmark.p
% 0.34/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.34/1.61 % SZS output start CNFRefutation
% See solution above
% 0.63/1.98 % Total time : 1.270s
%------------------------------------------------------------------------------