TSTP Solution File: GEO053-2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 : Wed Aug 30 22:45:48 EDT 2023
% Result : Unsatisfiable 19.70s 19.79s
% Output : CNFRefutation 19.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 27
% Syntax : Number of formulae : 182 ( 61 unt; 13 typ; 0 def)
% Number of atoms : 458 ( 65 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 566 ( 277 ~; 289 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 7 >; 25 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-6 aty)
% Number of variables : 443 ( 29 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(decl_23,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
between: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
lower_dimension_point_1: $i ).
tff(decl_27,type,
lower_dimension_point_2: $i ).
tff(decl_28,type,
lower_dimension_point_3: $i ).
tff(decl_29,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
u: $i ).
tff(decl_33,type,
v: $i ).
tff(decl_34,type,
w: $i ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
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(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_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(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
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(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(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
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(prove_v_equals_w,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_w) ).
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(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(u_to_v_equals_u_to_w,hypothesis,
equidistant(u,v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_w) ).
cnf(c_0_14,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_15,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2 ).
cnf(c_0_16,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_17,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_18,plain,
( inner_pasch(X1,X2,X3,X1,X4) = X1
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_20,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_21,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch1 ).
cnf(c_0_23,hypothesis,
( inner_pasch(v,X1,w,v,u) = v
| ~ between(v,X1,w) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( inner_pasch(X1,X2,X3,X4,X2) = X2
| ~ between(X2,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_26,hypothesis,
inner_pasch(v,w,w,v,u) = v,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( inner_pasch(X1,X2,X3,X3,X2) = X2
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_28,hypothesis,
between(w,v,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_26]),c_0_19]),c_0_24])]) ).
cnf(c_0_29,plain,
inner_pasch(X1,X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4),X2) = X2,
inference(spm,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_30,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 ).
cnf(c_0_31,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_32,hypothesis,
( inner_pasch(X1,w,u,v,w) = w
| ~ between(X1,w,u) ),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_33,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_29]),c_0_24]),c_0_20])]) ).
cnf(c_0_34,plain,
( X1 = X2
| equidistant(X3,X4,X5,X2)
| ~ between(X6,X4,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| ~ equidistant(X1,X4,X6,X2)
| ~ equidistant(X1,X2,X6,X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,hypothesis,
inner_pasch(extension(u,w,X1,X2),w,u,v,w) = w,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance ).
cnf(c_0_37,plain,
( X1 = X2
| equidistant(extension(X3,X2,X4,X5),X4,X5,X2)
| ~ between(X1,X2,extension(X3,X2,X4,X5))
| ~ between(X6,X4,X5)
| ~ equidistant(X1,X4,X6,X2)
| ~ equidistant(X1,X2,X6,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_17]) ).
cnf(c_0_38,hypothesis,
between(v,w,extension(u,w,X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_35]),c_0_28]),c_0_33])]) ).
cnf(c_0_39,negated_conjecture,
v != w,
prove_v_equals_w ).
cnf(c_0_40,hypothesis,
( inner_pasch(v,inner_pasch(w,X1,X2,v,X3),w,v,u) = v
| ~ between(X3,v,X2)
| ~ between(w,X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_41,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_42,hypothesis,
( equidistant(extension(u,w,X1,X2),X1,X2,w)
| ~ between(X3,X1,X2)
| ~ equidistant(v,X1,X3,w)
| ~ equidistant(v,w,X3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_43,plain,
equidistant(X1,X1,X2,X2),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_44,hypothesis,
( inner_pasch(v,inner_pasch(w,X1,w,v,u),w,v,u) = v
| ~ between(w,X1,w) ),
inference(spm,[status(thm)],[c_0_40,c_0_19]) ).
cnf(c_0_45,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 ).
cnf(c_0_46,plain,
equidistant(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_47,hypothesis,
( equidistant(extension(u,w,v,X1),v,X1,w)
| ~ between(w,v,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_31])]) ).
cnf(c_0_48,hypothesis,
inner_pasch(v,inner_pasch(w,w,w,v,u),w,v,u) = v,
inference(spm,[status(thm)],[c_0_44,c_0_24]) ).
cnf(c_0_49,plain,
( inner_pasch(X1,X2,X1,X1,X3) = X1
| ~ between(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_50,plain,
( between(X1,continuous(X2,X3,X1,X4,X5,X5),X5)
| ~ between(X3,X4,X5)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,hypothesis,
( equidistant(X1,w,v,extension(u,w,v,X1))
| ~ between(w,v,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_47]) ).
cnf(c_0_52,hypothesis,
( between(inner_pasch(w,w,w,v,u),v,u)
| ~ between(v,inner_pasch(w,w,w,v,u),w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_48]),c_0_19])]) ).
cnf(c_0_53,plain,
inner_pasch(X1,X1,X1,X1,X2) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_24]) ).
cnf(c_0_54,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 ).
cnf(c_0_55,hypothesis,
( between(w,continuous(v,w,w,X1,X2,X2),X2)
| ~ between(v,w,X2)
| ~ between(w,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_21]),c_0_21]),c_0_24])]) ).
cnf(c_0_56,hypothesis,
( inner_pasch(inner_pasch(w,w,w,v,u),v,u,u,v) = v
| ~ between(v,inner_pasch(w,w,w,v,u),w) ),
inference(spm,[status(thm)],[c_0_27,c_0_52]) ).
cnf(c_0_57,plain,
between(X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_53]),c_0_24]),c_0_24])]) ).
cnf(c_0_58,plain,
( X1 = X2
| equidistant(X3,X4,X5,continuous(X2,X6,X7,X4,X8,X9))
| ~ between(X10,X2,X5)
| ~ between(X1,X2,X3)
| ~ between(X6,X4,X8)
| ~ between(X2,X6,X8)
| ~ equidistant(X1,X4,X10,continuous(X2,X6,X7,X4,X8,X9))
| ~ equidistant(X2,X3,X2,X5)
| ~ equidistant(X1,X2,X10,X2)
| ~ equidistant(X2,X8,X2,X9)
| ~ equidistant(X2,X6,X2,X7) ),
inference(spm,[status(thm)],[c_0_30,c_0_54]) ).
cnf(c_0_59,hypothesis,
( continuous(v,w,w,X1,w,w) = w
| ~ between(w,X1,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_55]),c_0_24])]) ).
cnf(c_0_60,hypothesis,
inner_pasch(inner_pasch(w,w,w,v,u),v,u,u,v) = v,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_15]),c_0_19]),c_0_57])]) ).
cnf(c_0_61,plain,
( equidistant(X1,X2,X3,continuous(X3,X4,X5,X6,X7,X8))
| ~ between(X4,X6,X7)
| ~ between(X3,X4,X7)
| ~ equidistant(X3,X6,X1,X2)
| ~ equidistant(X3,X7,X3,X8)
| ~ equidistant(X3,X4,X3,X5) ),
inference(spm,[status(thm)],[c_0_36,c_0_54]) ).
cnf(c_0_62,plain,
( continuous(X1,X2,X3,X4,X5,X6) = X1
| equidistant(X7,X4,X8,continuous(X1,X2,X3,X4,X5,X6))
| ~ between(continuous(X1,X2,X3,X4,X5,X6),X1,X7)
| ~ between(X4,X1,X8)
| ~ between(X2,X4,X5)
| ~ between(X1,X2,X5)
| ~ equidistant(continuous(X1,X2,X3,X4,X5,X6),X1,X4,X1)
| ~ equidistant(X1,X7,X1,X8)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_31]) ).
cnf(c_0_63,hypothesis,
continuous(v,w,w,w,w,w) = w,
inference(spm,[status(thm)],[c_0_59,c_0_24]) ).
cnf(c_0_64,hypothesis,
equidistant(u,v,u,w),
u_to_v_equals_u_to_w ).
cnf(c_0_65,plain,
( equidistant(X1,continuous(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ between(X2,X4,X5)
| ~ between(X1,X2,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_54]) ).
cnf(c_0_66,hypothesis,
( between(u,v,inner_pasch(w,w,w,v,u))
| ~ between(inner_pasch(w,w,w,v,u),v,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_60]),c_0_24])]) ).
cnf(c_0_67,plain,
( equidistant(X1,continuous(X1,X2,X3,X4,X5,X6),X7,X8)
| ~ between(X2,X4,X5)
| ~ between(X1,X2,X5)
| ~ equidistant(X1,X4,X8,X7)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_61]) ).
cnf(c_0_68,hypothesis,
( equidistant(X1,w,X2,w)
| ~ between(w,v,X1)
| ~ between(w,v,X2)
| ~ equidistant(v,X1,v,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_57]),c_0_24]),c_0_46]),c_0_46])]),c_0_39]) ).
cnf(c_0_69,hypothesis,
equidistant(u,w,v,u),
inference(spm,[status(thm)],[c_0_41,c_0_64]) ).
cnf(c_0_70,plain,
( continuous(X1,X2,X3,X1,X4,X5) = X1
| ~ between(X2,X1,X4)
| ~ between(X1,X2,X4)
| ~ equidistant(X1,X4,X1,X5)
| ~ equidistant(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_65]) ).
cnf(c_0_71,hypothesis,
( between(u,v,inner_pasch(w,w,w,v,u))
| ~ between(v,inner_pasch(w,w,w,v,u),w) ),
inference(spm,[status(thm)],[c_0_66,c_0_52]) ).
cnf(c_0_72,hypothesis,
( equidistant(v,w,X1,X2)
| ~ equidistant(v,w,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_63]),c_0_57]),c_0_24]),c_0_46])]) ).
cnf(c_0_73,hypothesis,
( equidistant(v,w,X1,w)
| ~ between(w,v,X1)
| ~ equidistant(v,v,v,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_24]) ).
cnf(c_0_74,hypothesis,
equidistant(v,u,w,u),
inference(spm,[status(thm)],[c_0_41,c_0_69]) ).
cnf(c_0_75,hypothesis,
( continuous(v,X1,X2,v,w,w) = v
| ~ between(X1,v,w)
| ~ between(v,X1,w)
| ~ equidistant(v,X1,v,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_51]),c_0_21]),c_0_24])]) ).
cnf(c_0_76,plain,
( inner_pasch(inner_pasch(X1,X2,X3,X4,X5),X6,X5,inner_pasch(X1,X2,X3,X4,X5),X2) = inner_pasch(X1,X2,X3,X4,X5)
| ~ between(inner_pasch(X1,X2,X3,X4,X5),X6,X5)
| ~ between(X5,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_22]) ).
cnf(c_0_77,hypothesis,
between(u,v,inner_pasch(w,w,w,v,u)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_15]),c_0_19]),c_0_57])]) ).
cnf(c_0_78,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_46]) ).
cnf(c_0_79,hypothesis,
( equidistant(v,w,w,X1)
| ~ between(w,v,X1)
| ~ equidistant(v,v,v,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,hypothesis,
( equidistant(X1,X2,w,u)
| ~ equidistant(v,u,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_74]) ).
cnf(c_0_81,hypothesis,
( continuous(v,v,X1,v,w,w) = v
| ~ equidistant(v,v,v,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_57]),c_0_57])]) ).
cnf(c_0_82,hypothesis,
( inner_pasch(inner_pasch(w,w,w,v,u),v,u,inner_pasch(w,w,w,v,u),w) = inner_pasch(w,w,w,v,u)
| ~ between(v,inner_pasch(w,w,w,v,u),w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_52]),c_0_19]),c_0_57])]) ).
cnf(c_0_83,hypothesis,
inner_pasch(u,v,inner_pasch(w,w,w,v,u),inner_pasch(w,w,w,v,u),v) = v,
inference(spm,[status(thm)],[c_0_27,c_0_77]) ).
cnf(c_0_84,hypothesis,
( equidistant(X1,X2,u,w)
| ~ equidistant(u,v,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_64]) ).
cnf(c_0_85,hypothesis,
( equidistant(w,X1,v,w)
| ~ between(w,v,X1)
| ~ equidistant(v,v,v,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,hypothesis,
( equidistant(X1,continuous(X1,X2,X3,X4,X5,X6),w,u)
| ~ between(X2,X4,X5)
| ~ between(X1,X2,X5)
| ~ equidistant(X1,X4,v,u)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_61]) ).
cnf(c_0_87,hypothesis,
continuous(v,v,v,v,w,w) = v,
inference(spm,[status(thm)],[c_0_81,c_0_31]) ).
cnf(c_0_88,hypothesis,
( equidistant(X1,X2,v,extension(u,w,v,X3))
| ~ between(w,v,X3)
| ~ equidistant(X3,w,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_51]) ).
cnf(c_0_89,hypothesis,
inner_pasch(inner_pasch(w,w,w,v,u),v,u,inner_pasch(w,w,w,v,u),w) = inner_pasch(w,w,w,v,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_15]),c_0_19]),c_0_57])]) ).
cnf(c_0_90,hypothesis,
between(inner_pasch(w,w,w,v,u),v,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_83]),c_0_24]),c_0_77])]) ).
cnf(c_0_91,hypothesis,
equidistant(v,u,u,w),
inference(spm,[status(thm)],[c_0_84,c_0_31]) ).
cnf(c_0_92,plain,
( X1 = X2
| equidistant(X3,X4,X5,X4)
| ~ between(X6,X2,X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X3,X2,X5)
| ~ equidistant(X1,X4,X6,X4)
| ~ equidistant(X1,X2,X6,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_46]) ).
cnf(c_0_93,hypothesis,
( equidistant(X1,X2,v,w)
| ~ between(w,v,X3)
| ~ equidistant(v,v,v,X3)
| ~ equidistant(w,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_85]) ).
cnf(c_0_94,hypothesis,
( equidistant(v,v,w,u)
| ~ equidistant(v,v,v,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_57]),c_0_46]),c_0_43])]) ).
cnf(c_0_95,hypothesis,
( equidistant(v,extension(u,w,v,X1),X2,X3)
| ~ between(w,v,X1)
| ~ equidistant(X1,w,X3,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_88]) ).
cnf(c_0_96,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(spm,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_97,hypothesis,
( between(w,continuous(u,v,w,X1,X2,X2),X2)
| ~ between(u,v,X2)
| ~ between(v,X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_64]) ).
cnf(c_0_98,hypothesis,
( between(v,inner_pasch(w,w,w,v,u),w)
| ~ between(w,inner_pasch(w,w,w,v,u),u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_89]),c_0_90])]) ).
cnf(c_0_99,hypothesis,
equidistant(u,w,u,v),
inference(spm,[status(thm)],[c_0_41,c_0_91]) ).
cnf(c_0_100,plain,
( X1 = X2
| equidistant(X3,X4,continuous(X2,X5,X6,X7,X8,X9),X4)
| ~ between(X10,X2,continuous(X2,X5,X6,X7,X8,X9))
| ~ between(X1,X2,X3)
| ~ between(X5,X7,X8)
| ~ between(X2,X5,X8)
| ~ equidistant(X1,X4,X10,X4)
| ~ equidistant(X1,X2,X10,X2)
| ~ equidistant(X2,X7,X2,X3)
| ~ equidistant(X2,X8,X2,X9)
| ~ equidistant(X2,X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_92,c_0_61]) ).
cnf(c_0_101,hypothesis,
( equidistant(X1,X2,v,w)
| ~ equidistant(v,v,v,u)
| ~ equidistant(w,u,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_28]) ).
cnf(c_0_102,hypothesis,
( equidistant(w,u,v,v)
| ~ equidistant(v,v,v,u) ),
inference(spm,[status(thm)],[c_0_41,c_0_94]) ).
cnf(c_0_103,hypothesis,
( extension(u,w,v,X1) = v
| ~ between(w,v,X1)
| ~ equidistant(X1,w,X2,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_95]) ).
cnf(c_0_104,hypothesis,
( equidistant(X1,X2,v,u)
| ~ equidistant(u,w,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_69]) ).
cnf(c_0_105,plain,
( X1 = X2
| equidistant(X3,extension(X4,X2,X5,X6),X7,X6)
| ~ between(X8,X5,X7)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,extension(X4,X2,X5,X6),X8,X6)
| ~ equidistant(X2,X3,X5,X7)
| ~ equidistant(X1,X2,X8,X5) ),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_106,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(spm,[status(thm)],[c_0_41,c_0_96]) ).
cnf(c_0_107,hypothesis,
( continuous(u,v,w,X1,w,w) = w
| ~ between(v,X1,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_97]),c_0_19])]) ).
cnf(c_0_108,hypothesis,
between(v,inner_pasch(w,w,w,v,u),w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_22]),c_0_19]),c_0_57])]) ).
cnf(c_0_109,hypothesis,
( continuous(u,X1,X2,u,w,v) = u
| ~ between(X1,u,w)
| ~ between(u,X1,w)
| ~ equidistant(u,X1,u,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_99]) ).
cnf(c_0_110,hypothesis,
( X1 = v
| equidistant(X2,X3,v,X3)
| ~ between(X1,v,X2)
| ~ equidistant(v,v,v,X2)
| ~ equidistant(X1,v,X4,v)
| ~ equidistant(X1,X3,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_87]),c_0_24]),c_0_57]),c_0_46]),c_0_43])]) ).
cnf(c_0_111,hypothesis,
( equidistant(v,v,v,w)
| ~ equidistant(v,v,v,u) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_112,hypothesis,
~ equidistant(v,w,X1,X1),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_24]),c_0_21]),c_0_39]) ).
cnf(c_0_113,hypothesis,
( equidistant(X1,continuous(X1,X2,X3,X4,X5,X6),v,u)
| ~ between(X2,X4,X5)
| ~ between(X1,X2,X5)
| ~ equidistant(X1,X4,u,w)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_61]) ).
cnf(c_0_114,hypothesis,
equidistant(u,v,w,u),
inference(spm,[status(thm)],[c_0_41,c_0_99]) ).
cnf(c_0_115,plain,
( X1 = X2
| equidistant(X3,extension(X4,X2,X5,X1),X6,X1)
| ~ between(extension(X4,X2,X5,X1),X5,X6)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X2,extension(X4,X2,X5,X1),X5)
| ~ equidistant(X2,X3,X5,X6) ),
inference(spm,[status(thm)],[c_0_105,c_0_31]) ).
cnf(c_0_116,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(spm,[status(thm)],[c_0_78,c_0_106]) ).
cnf(c_0_117,plain,
( equidistant(X1,X2,continuous(X2,X3,X4,X1,X5,X6),X2)
| ~ between(X3,X1,X5)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_65]) ).
cnf(c_0_118,hypothesis,
continuous(u,v,w,inner_pasch(w,w,w,v,u),w,w) = w,
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_119,hypothesis,
( continuous(u,u,X1,u,w,v) = u
| ~ equidistant(u,u,u,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_57]),c_0_57])]) ).
cnf(c_0_120,hypothesis,
equidistant(extension(X1,X2,u,v),X2,u,w),
inference(spm,[status(thm)],[c_0_84,c_0_96]) ).
cnf(c_0_121,hypothesis,
( X1 = v
| equidistant(extension(X1,v,X2,X3),X4,v,X4)
| ~ equidistant(v,v,v,extension(X1,v,X2,X3))
| ~ equidistant(X1,v,X5,v)
| ~ equidistant(X1,X4,X5,X4) ),
inference(spm,[status(thm)],[c_0_110,c_0_20]) ).
cnf(c_0_122,hypothesis,
( equidistant(w,X1,w,v)
| ~ between(w,v,X1)
| ~ equidistant(v,v,v,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_79]) ).
cnf(c_0_123,hypothesis,
~ equidistant(v,v,v,u),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_111]),c_0_112]) ).
cnf(c_0_124,hypothesis,
( equidistant(v,v,v,u)
| ~ equidistant(v,v,u,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_87]),c_0_57]),c_0_46]),c_0_43])]) ).
cnf(c_0_125,hypothesis,
equidistant(w,u,v,u),
inference(spm,[status(thm)],[c_0_41,c_0_114]) ).
cnf(c_0_126,plain,
( X1 = X2
| equidistant(X3,extension(X4,X2,X2,X1),X4,X1)
| ~ between(X1,X2,X3)
| ~ equidistant(X2,X3,X2,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_33]),c_0_116])]) ).
cnf(c_0_127,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(spm,[status(thm)],[c_0_78,c_0_17]) ).
cnf(c_0_128,plain,
( equidistant(X1,X2,X3,continuous(X3,X4,X5,X6,X7,X8))
| ~ between(X4,X6,X7)
| ~ between(X3,X4,X7)
| ~ equidistant(X9,X10,X1,X2)
| ~ equidistant(X3,X6,X9,X10)
| ~ equidistant(X3,X7,X3,X8)
| ~ equidistant(X3,X4,X3,X5) ),
inference(spm,[status(thm)],[c_0_36,c_0_61]) ).
cnf(c_0_129,hypothesis,
equidistant(inner_pasch(w,w,w,v,u),u,w,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_108]),c_0_19]),c_0_46]),c_0_64])]) ).
cnf(c_0_130,plain,
( X1 = X2
| equidistant(X3,X4,X5,continuous(X2,X6,X7,X4,X8,X9))
| ~ between(extension(X10,continuous(X2,X6,X7,X4,X8,X9),X1,X4),X2,X5)
| ~ between(X1,X2,X3)
| ~ between(X6,X4,X8)
| ~ between(X2,X6,X8)
| ~ equidistant(X1,X2,extension(X10,continuous(X2,X6,X7,X4,X8,X9),X1,X4),X2)
| ~ equidistant(X2,X3,X2,X5)
| ~ equidistant(X2,X8,X2,X9)
| ~ equidistant(X2,X6,X2,X7) ),
inference(spm,[status(thm)],[c_0_58,c_0_96]) ).
cnf(c_0_131,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,extension(X6,X5,X3,X4),X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_17]) ).
cnf(c_0_132,hypothesis,
continuous(u,u,u,u,w,v) = u,
inference(spm,[status(thm)],[c_0_119,c_0_31]) ).
cnf(c_0_133,hypothesis,
( equidistant(X1,X2,u,w)
| ~ equidistant(extension(X3,X4,u,v),X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_120]) ).
cnf(c_0_134,hypothesis,
( equidistant(extension(w,v,X1,X2),X3,v,X3)
| ~ equidistant(v,v,v,extension(w,v,X1,X2)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_46]),c_0_24]),c_0_43])]),c_0_39]) ).
cnf(c_0_135,hypothesis,
~ equidistant(v,v,u,w),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_136,hypothesis,
( X1 = w
| equidistant(X2,u,X3,u)
| ~ between(X4,v,X3)
| ~ between(X1,w,X2)
| ~ equidistant(w,X2,v,X3)
| ~ equidistant(X1,u,X4,u)
| ~ equidistant(X1,w,X4,v) ),
inference(spm,[status(thm)],[c_0_30,c_0_125]) ).
cnf(c_0_137,plain,
( X1 = extension(X2,X3,X3,X2)
| X2 = X3
| ~ between(X2,X3,X1)
| ~ equidistant(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_126]) ).
cnf(c_0_138,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(spm,[status(thm)],[c_0_41,c_0_127]) ).
cnf(c_0_139,hypothesis,
( equidistant(w,u,X1,continuous(X1,X2,X3,X4,X5,X6))
| ~ between(X2,X4,X5)
| ~ between(X1,X2,X5)
| ~ equidistant(X1,X4,inner_pasch(w,w,w,v,u),u)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_140,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X5,X3,X6)
| ~ between(X4,X5,X6)
| ~ equidistant(X4,continuous(X4,X5,X7,X3,X6,X8),X1,X2)
| ~ equidistant(X4,X6,X4,X8)
| ~ equidistant(X4,X5,X4,X7) ),
inference(spm,[status(thm)],[c_0_36,c_0_65]) ).
cnf(c_0_141,hypothesis,
( X1 = v
| equidistant(X2,v,X3,v)
| ~ between(extension(X4,v,X1,v),v,X3)
| ~ between(X1,v,X2)
| ~ equidistant(v,X2,v,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_87]),c_0_57]),c_0_96]),c_0_46]),c_0_43])]) ).
cnf(c_0_142,plain,
( equidistant(X1,X2,X3,X3)
| ~ equidistant(X4,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_131,c_0_21]) ).
cnf(c_0_143,hypothesis,
( equidistant(u,u,v,u)
| ~ equidistant(u,u,u,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_132]),c_0_57]),c_0_99]),c_0_43])]) ).
cnf(c_0_144,hypothesis,
~ equidistant(v,v,v,extension(w,v,u,v)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
cnf(c_0_145,plain,
( equidistant(X1,X2,X3,extension(X4,X3,X5,X6))
| ~ equidistant(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_127]) ).
cnf(c_0_146,hypothesis,
( X1 = w
| equidistant(X2,u,u,u)
| ~ between(X1,w,X2)
| ~ equidistant(w,X2,v,u)
| ~ equidistant(X1,u,w,u)
| ~ equidistant(X1,w,w,v) ),
inference(spm,[status(thm)],[c_0_136,c_0_28]) ).
cnf(c_0_147,plain,
( extension(X1,X2,X3,X2) = extension(X3,X2,X2,X3)
| X3 = X2
| ~ between(X3,X2,extension(X1,X2,X3,X2)) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_148,hypothesis,
equidistant(u,inner_pasch(w,w,w,v,u),u,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_118]),c_0_108]),c_0_19]),c_0_46]),c_0_64])]) ).
cnf(c_0_149,hypothesis,
( equidistant(w,u,u,u)
| ~ equidistant(u,u,inner_pasch(w,w,w,v,u),u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_132]),c_0_57]),c_0_99]),c_0_43])]) ).
cnf(c_0_150,hypothesis,
( equidistant(X1,X2,inner_pasch(w,w,w,v,u),u)
| ~ equidistant(u,w,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_118]),c_0_108]),c_0_19]),c_0_46]),c_0_64])]) ).
cnf(c_0_151,hypothesis,
( equidistant(u,v,X1,v)
| ~ between(extension(X2,v,w,v),v,X1)
| ~ equidistant(v,u,v,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_28]),c_0_39]) ).
cnf(c_0_152,hypothesis,
( equidistant(v,u,X1,X1)
| ~ equidistant(u,u,u,w) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_153,hypothesis,
~ equidistant(u,v,v,v),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_154,hypothesis,
( equidistant(extension(u,w,X1,X2),u,u,u)
| ~ equidistant(w,extension(u,w,X1,X2),v,u) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_38]),c_0_74]),c_0_31])]),c_0_39]) ).
cnf(c_0_155,plain,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_147,c_0_20]) ).
cnf(c_0_156,hypothesis,
equidistant(X1,extension(X2,X1,u,w),v,u),
inference(spm,[status(thm)],[c_0_104,c_0_127]) ).
cnf(c_0_157,hypothesis,
( equidistant(u,w,X1,continuous(X1,X2,X3,X4,X5,X6))
| ~ between(X2,X4,X5)
| ~ between(X1,X2,X5)
| ~ equidistant(X1,X4,u,inner_pasch(w,w,w,v,u))
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_148]) ).
cnf(c_0_158,hypothesis,
equidistant(w,u,u,inner_pasch(w,w,w,v,u)),
inference(spm,[status(thm)],[c_0_41,c_0_129]) ).
cnf(c_0_159,hypothesis,
( equidistant(w,u,u,u)
| ~ equidistant(u,w,u,u) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_160,hypothesis,
~ equidistant(u,u,u,w),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_24])]),c_0_153]) ).
cnf(c_0_161,hypothesis,
( w = u
| equidistant(extension(u,w,u,w),u,u,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]) ).
cnf(c_0_162,hypothesis,
( equidistant(u,w,u,u)
| ~ equidistant(u,u,u,inner_pasch(w,w,w,v,u)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_132]),c_0_57]),c_0_99]),c_0_43])]) ).
cnf(c_0_163,hypothesis,
( equidistant(X1,X2,u,inner_pasch(w,w,w,v,u))
| ~ equidistant(w,u,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_158]) ).
cnf(c_0_164,hypothesis,
~ equidistant(u,w,u,u),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_159]),c_0_160]) ).
cnf(c_0_165,hypothesis,
( extension(u,w,u,w) = u
| w = u ),
inference(spm,[status(thm)],[c_0_16,c_0_161]) ).
cnf(c_0_166,hypothesis,
~ equidistant(w,u,u,u),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_167,hypothesis,
w = u,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_165]),c_0_14]) ).
cnf(c_0_168,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:08:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 19.70/19.79 % Version : CSE_E---1.5
% 19.70/19.79 % Problem : theBenchmark.p
% 19.70/19.79 % Proof found
% 19.70/19.79 % SZS status Theorem for theBenchmark.p
% 19.70/19.79 % SZS output start Proof
% See solution above
% 19.70/19.80 % Total time : 19.215000 s
% 19.70/19.80 % SZS output end Proof
% 19.70/19.80 % Total time : 19.220000 s
%------------------------------------------------------------------------------