TSTP Solution File: GEO060-2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO060-2 : 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 : n016.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 22:45:51 EDT 2023
% Result : Unsatisfiable 109.44s 109.44s
% Output : CNFRefutation 109.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 105 ( 32 unt; 13 typ; 0 def)
% Number of atoms : 219 ( 64 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 230 ( 103 ~; 127 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 8 >; 26 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% Number of variables : 404 ( 56 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,
reflection: ( $i * $i ) > $i ).
tff(decl_33,type,
u: $i ).
tff(decl_34,type,
v: $i ).
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(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
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(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
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(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
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(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(prove__involution,negated_conjecture,
u != reflection(reflection(u,v),v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove__involution) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(c_0_11,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_12,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_13,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_14,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch1 ).
cnf(c_0_15,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_16,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance ).
cnf(c_0_18,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_19,plain,
( inner_pasch(X1,X2,X3,X4,X2) = X2
| ~ between(X2,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,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_23,plain,
( inner_pasch(X1,X2,X3,X3,X2) = X2
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
equidistant(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_25,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_26,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,extension(X6,X5,X3,X4),X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_27,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_22,c_0_12]) ).
cnf(c_0_28,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2 ).
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_23,c_0_15]) ).
cnf(c_0_30,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_31,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_32,plain,
( equidistant(X1,X2,extension(X3,X4,X5,X6),X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_33,plain,
equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2,X5,X6),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_34,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_35,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_27,c_0_18]) ).
cnf(c_0_36,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_28,c_0_29]),c_0_20]),c_0_15])]) ).
cnf(c_0_37,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(spm,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_39,plain,
( equidistant(extension(X1,X2,X3,X4),X2,X5,X6)
| ~ equidistant(X3,X4,X6,X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_32]) ).
cnf(c_0_40,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(extension(X5,X6,X7,extension(X8,X7,X3,X4)),X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_41,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(extension(X5,X6,X3,X4),X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
cnf(c_0_42,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_35,c_0_36]),c_0_37])]) ).
cnf(c_0_43,plain,
( equidistant(X1,X2,X3,extension(X4,X3,X5,X6))
| ~ equidistant(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_38]) ).
cnf(c_0_44,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_22,c_0_24]) ).
cnf(c_0_45,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(spm,[status(thm)],[c_0_21,c_0_38]) ).
cnf(c_0_46,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(extension(X5,X6,X7,X8),X6,X1,X2)
| ~ equidistant(X7,X8,X4,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_39]) ).
cnf(c_0_47,plain,
equidistant(extension(X1,X2,extension(X3,X4,X5,extension(X6,X5,X7,X8)),X4),X2,X7,X8),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_48,plain,
( equidistant(extension(X1,X2,X3,X4),X2,X5,X6)
| ~ equidistant(X3,X4,extension(X7,X8,X5,X6),X8) ),
inference(spm,[status(thm)],[c_0_41,c_0_32]) ).
cnf(c_0_49,plain,
( equidistant(X1,X2,extension(X3,X4,X5,X6),X4)
| ~ equidistant(X5,X6,X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_39]) ).
cnf(c_0_50,plain,
( X1 = extension(X2,X3,X3,X2)
| X2 = X3
| ~ between(X2,X3,X1)
| ~ equidistant(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_42]) ).
cnf(c_0_51,plain,
( equidistant(X1,extension(X2,X1,X3,X4),X5,X6)
| ~ equidistant(X3,X4,X6,X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_43]) ).
cnf(c_0_52,plain,
equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,X5,X6),
inference(spm,[status(thm)],[c_0_41,c_0_25]) ).
cnf(c_0_53,plain,
( X1 = X2
| equidistant(extension(X3,X2,X2,X4),X5,X4,X5)
| ~ between(X1,X2,extension(X3,X2,X2,X4))
| ~ between(X6,X2,X4)
| ~ equidistant(X1,X5,X6,X5)
| ~ equidistant(X1,X2,X6,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_12]) ).
cnf(c_0_54,plain,
( X1 = X2
| equidistant(extension(X3,X2,X4,X2),X5,X4,X5)
| ~ between(X1,X2,extension(X3,X2,X4,X2))
| ~ between(X6,X2,X4)
| ~ equidistant(X1,X5,X6,X5)
| ~ equidistant(X1,X2,X6,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(extension(X5,X6,X7,extension(X8,X7,X1,X2)),X6,X4,X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
( equidistant(extension(X1,X2,X3,X4),X2,X5,X6)
| ~ equidistant(X5,X6,X4,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( inner_pasch(X1,X2,extension(X2,X3,X4,X5),X3,X2) = X2
| ~ between(X1,X2,extension(X2,X3,X4,X5)) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_58,negated_conjecture,
u != reflection(reflection(u,v),v),
prove__involution ).
cnf(c_0_59,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(c_0_60,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_50,c_0_45]) ).
cnf(c_0_61,plain,
( extension(X1,X2,X3,X4) = extension(X5,X2,X2,X5)
| X5 = X2
| ~ between(X5,X2,extension(X1,X2,X3,X4))
| ~ equidistant(X3,X4,X5,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,plain,
( equidistant(X1,extension(X2,X1,X3,X4),X5,X6)
| ~ equidistant(X3,X4,extension(X7,X8,X5,X6),X8) ),
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
cnf(c_0_63,plain,
equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X1,X2),X6),X4),
inference(spm,[status(thm)],[c_0_30,c_0_52]) ).
cnf(c_0_64,plain,
( X1 = X2
| equidistant(extension(X1,X2,X2,X3),X4,X3,X4)
| ~ between(X5,X2,X3)
| ~ equidistant(X1,X4,X5,X4)
| ~ equidistant(X1,X2,X5,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_15]) ).
cnf(c_0_65,plain,
( X1 = X2
| equidistant(extension(X1,X2,X3,X2),X4,X3,X4)
| ~ between(X5,X2,X3)
| ~ equidistant(X1,X4,X5,X4)
| ~ equidistant(X1,X2,X5,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_15]) ).
cnf(c_0_66,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,extension(X5,X6,X1,X2),X6) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,plain,
inner_pasch(extension(extension(X1,X2,X3,X4),X1,X5,X6),X1,extension(X1,X2,X3,X4),X2,X1) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_36]) ).
cnf(c_0_68,negated_conjecture,
u != extension(extension(u,v,u,v),v,extension(u,v,u,v),v),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_59]) ).
cnf(c_0_69,plain,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_60,c_0_15]) ).
cnf(c_0_70,plain,
( extension(X1,X2,X3,X4) = extension(X1,X2,X2,X1)
| X1 = X2
| ~ equidistant(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_15]) ).
cnf(c_0_71,plain,
equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X3,X4),X6),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_72,plain,
( X1 = X2
| equidistant(extension(X1,X2,X2,X3),X4,X3,X4)
| ~ between(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_24]),c_0_24])]) ).
cnf(c_0_73,plain,
( X1 = X2
| equidistant(extension(X1,X2,X3,X2),X4,X3,X4)
| ~ between(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_24]),c_0_24])]) ).
cnf(c_0_74,plain,
( X1 = X2
| equidistant(X3,X4,extension(extension(X5,X1,X3,X4),X2,X2,X1),X6)
| ~ between(X1,X2,X6)
| ~ equidistant(X2,X6,X2,extension(X5,X1,X3,X4)) ),
inference(spm,[status(thm)],[c_0_66,c_0_42]) ).
cnf(c_0_75,plain,
( extension(X1,X2,X2,X3) = extension(X3,X2,X2,X3)
| X3 = X2
| ~ between(X3,X2,extension(X1,X2,X2,X3)) ),
inference(spm,[status(thm)],[c_0_50,c_0_12]) ).
cnf(c_0_76,plain,
between(X1,X2,extension(extension(X2,X1,X3,X4),X2,X5,X6)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_67]),c_0_15]),c_0_36])]) ).
cnf(c_0_77,negated_conjecture,
( extension(u,v,u,v) = v
| extension(extension(u,v,u,v),v,v,extension(u,v,u,v)) != u ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,plain,
( extension(extension(X1,X2,X3,X4),X2,X5,extension(X6,X5,X3,X4)) = extension(extension(X1,X2,X3,X4),X2,X2,extension(X1,X2,X3,X4))
| extension(X1,X2,X3,X4) = X2 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,plain,
( extension(X1,X2,X2,X3) = X3
| X1 = X2
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_72]) ).
cnf(c_0_80,plain,
( extension(X1,X2,X3,X2) = X3
| X1 = X2
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_73]) ).
cnf(c_0_81,plain,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,extension(extension(X5,X1,X3,X4),X2,X2,X1))
| ~ equidistant(X2,extension(extension(X5,X1,X3,X4),X2,X2,X1),X2,extension(X5,X1,X3,X4)) ),
inference(spm,[status(thm)],[c_0_11,c_0_74]) ).
cnf(c_0_82,plain,
( extension(extension(X1,X2,X3,X4),X1,X1,X2) = extension(X2,X1,X1,X2)
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( extension(u,v,u,v) = v
| extension(extension(u,v,u,v),v,X1,extension(X2,X1,u,v)) != u ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,plain,
( extension(X1,X2,X2,extension(X1,X2,X3,X4)) = extension(X1,X2,X3,X4)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_79,c_0_15]) ).
cnf(c_0_85,plain,
( extension(extension(X1,X2,X3,X4),X2,X1,X2) = X1
| extension(X1,X2,X3,X4) = X2 ),
inference(spm,[status(thm)],[c_0_80,c_0_36]) ).
cnf(c_0_86,plain,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,extension(X3,X4,X4,X3),X4,extension(X4,X3,X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_15])]) ).
cnf(c_0_87,plain,
( equidistant(X1,extension(X2,X1,X3,X4),X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_30,c_0_43]) ).
cnf(c_0_88,negated_conjecture,
extension(u,v,u,v) = v,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_89,plain,
( X1 = X2
| X3 = X4
| ~ equidistant(X2,X1,X2,extension(X2,X1,X3,X4)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,negated_conjecture,
u != v,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_88]),c_0_88]),c_0_16]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_88]),c_0_24])]),c_0_90]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO060-2 : 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
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:11:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.45/0.58 start to proof: theBenchmark
% 109.44/109.44 % Version : CSE_E---1.5
% 109.44/109.44 % Problem : theBenchmark.p
% 109.44/109.44 % Proof found
% 109.44/109.44 % SZS status Theorem for theBenchmark.p
% 109.44/109.44 % SZS output start Proof
% See solution above
% 109.44/109.45 % Total time : 108.861000 s
% 109.44/109.45 % SZS output end Proof
% 109.44/109.45 % Total time : 108.869000 s
%------------------------------------------------------------------------------