TSTP Solution File: GEO032-2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO032-2 : 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 : n027.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 22:45:38 EDT 2023
% Result : Unsatisfiable 33.28s 33.39s
% Output : CNFRefutation 33.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 31
% Syntax : Number of formulae : 119 ( 59 unt; 16 typ; 0 def)
% Number of atoms : 196 ( 42 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 179 ( 86 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 4 ( 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 : 14 ( 14 usr; 9 con; 0-6 aty)
% Number of variables : 267 ( 52 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 ).
tff(decl_35,type,
u1: $i ).
tff(decl_36,type,
v1: $i ).
tff(decl_37,type,
w1: $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(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(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(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
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(u_to_w_equals_u1_to_w1,hypothesis,
equidistant(u,w,u1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
cnf(v1_between_u1_and_w1,hypothesis,
between(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(v_to_w_equals_v1_to_w1,negated_conjecture,
~ equidistant(v,w,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
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(c_0_15,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_16,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2 ).
cnf(c_0_17,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_18,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_19,plain,
( inner_pasch(X1,X2,X3,X1,X4) = X1
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
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_17,c_0_18]) ).
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,plain,
( inner_pasch(X1,X2,extension(X3,X1,X4,X5),X1,X3) = X1
| ~ between(X1,X2,extension(X3,X1,X4,X5)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance ).
cnf(c_0_26,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_27,plain,
( inner_pasch(X1,X2,X3,X4,X2) = X2
| ~ between(X2,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
cnf(c_0_28,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_29,plain,
inner_pasch(X1,extension(X2,X1,X3,X4),extension(X2,X1,X3,X4),X1,X2) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,extension(X6,X5,X3,X4),X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_18]) ).
cnf(c_0_32,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_33,hypothesis,
equidistant(u,w,u1,w1),
u_to_w_equals_u1_to_w1 ).
cnf(c_0_34,hypothesis,
( inner_pasch(X1,u,w,v,u) = u
| ~ between(X1,u,w) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,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_22,c_0_29]),c_0_20]),c_0_24])]) ).
cnf(c_0_36,hypothesis,
between(u1,v1,w1),
v1_between_u1_and_w1 ).
cnf(c_0_37,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(spm,[status(thm)],[c_0_30,c_0_18]) ).
cnf(c_0_38,plain,
equidistant(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_18]) ).
cnf(c_0_39,hypothesis,
( X1 = u
| equidistant(X2,w,X3,w1)
| ~ between(X4,u1,X3)
| ~ between(X1,u,X2)
| ~ equidistant(u,X2,u1,X3)
| ~ equidistant(X1,w,X4,w1)
| ~ equidistant(X1,u,X4,u1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,hypothesis,
equidistant(u1,w1,w,u),
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_41,hypothesis,
inner_pasch(extension(w,u,X1,X2),u,w,v,u) = u,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,hypothesis,
( inner_pasch(X1,u1,w1,v1,u1) = u1
| ~ between(X1,u1,w1) ),
inference(spm,[status(thm)],[c_0_27,c_0_36]) ).
cnf(c_0_43,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_44,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_38]) ).
cnf(c_0_45,plain,
( inner_pasch(X1,X2,X1,X1,X3) = X1
| ~ between(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_46,hypothesis,
equidistant(u,v,u1,v1),
u_to_v_equals_u1_to_v1 ).
cnf(c_0_47,negated_conjecture,
~ equidistant(v,w,v1,w1),
v_to_w_equals_v1_to_w1 ).
cnf(c_0_48,hypothesis,
( X1 = u
| equidistant(extension(X2,u,u1,X3),w,X3,w1)
| ~ between(X1,u,extension(X2,u,u1,X3))
| ~ between(X4,u1,X3)
| ~ equidistant(X1,w,X4,w1)
| ~ equidistant(X1,u,X4,u1) ),
inference(spm,[status(thm)],[c_0_39,c_0_18]) ).
cnf(c_0_49,plain,
equidistant(X1,X1,X2,X2),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_50,hypothesis,
equidistant(w,u,w1,u1),
inference(spm,[status(thm)],[c_0_30,c_0_40]) ).
cnf(c_0_51,plain,
( inner_pasch(X1,X2,X3,X3,X2) = X2
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_52,hypothesis,
between(v,u,extension(w,u,X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_41]),c_0_28]),c_0_35])]) ).
cnf(c_0_53,hypothesis,
inner_pasch(extension(w1,u1,X1,X2),u1,w1,v1,u1) = u1,
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
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,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_43]) ).
cnf(c_0_56,plain,
( equidistant(X1,X2,extension(X3,X4,X5,X6),X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_57,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(spm,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_58,plain,
inner_pasch(X1,X1,X1,X1,X2) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_24]) ).
cnf(c_0_59,hypothesis,
( X1 = u
| ~ between(X2,u1,v1)
| ~ between(X1,u,v)
| ~ equidistant(X1,w,X2,w1)
| ~ equidistant(X1,u,X2,u1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_46]),c_0_47]) ).
cnf(c_0_60,hypothesis,
( w = u
| equidistant(extension(X1,u,u1,X2),w,X2,w1)
| ~ between(w,u,extension(X1,u,u1,X2))
| ~ between(w1,u1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_61,hypothesis,
inner_pasch(v,u,extension(w,u,X1,X2),extension(w,u,X1,X2),u) = u,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,hypothesis,
between(v1,u1,extension(w1,u1,X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_53]),c_0_36]),c_0_35])]) ).
cnf(c_0_63,plain,
( equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,extension(X6,X1,X5,X1)))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),X6),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,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_58]),c_0_24]),c_0_24])]) ).
cnf(c_0_66,hypothesis,
( extension(X1,u,u1,X2) = u
| w = u
| ~ between(extension(X1,u,u1,X2),u,v)
| ~ between(w,u,extension(X1,u,u1,X2))
| ~ between(X2,u1,v1)
| ~ between(w1,u1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_43])]) ).
cnf(c_0_67,hypothesis,
between(extension(w,u,X1,X2),u,v),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_61]),c_0_24]),c_0_52])]) ).
cnf(c_0_68,hypothesis,
inner_pasch(v1,u1,extension(w1,u1,X1,X2),extension(w1,u1,X1,X2),u1) = u1,
inference(spm,[status(thm)],[c_0_51,c_0_62]) ).
cnf(c_0_69,plain,
( equidistant(X1,X2,X1,continuous(X1,X1,X1,X2,X3,extension(X4,X1,X3,X1)))
| ~ between(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_65])]) ).
cnf(c_0_70,hypothesis,
( equidistant(X1,X2,u1,w1)
| ~ equidistant(u,w,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_33]) ).
cnf(c_0_71,plain,
equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2,X5,X6),
inference(spm,[status(thm)],[c_0_31,c_0_37]) ).
cnf(c_0_72,hypothesis,
( extension(w,u,u1,X1) = u
| w = u
| ~ between(X1,u1,v1)
| ~ between(w1,u1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_20])]) ).
cnf(c_0_73,hypothesis,
between(extension(w1,u1,X1,X2),u1,v1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_68]),c_0_24]),c_0_62])]) ).
cnf(c_0_74,plain,
( equidistant(X1,continuous(X1,X1,X1,X2,X3,extension(X4,X1,X3,X1)),X2,X1)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_69]) ).
cnf(c_0_75,hypothesis,
equidistant(w,u,u1,w1),
inference(spm,[status(thm)],[c_0_70,c_0_26]) ).
cnf(c_0_76,plain,
equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X7,extension(X8,X7,X1,X2)),X6),X4),
inference(spm,[status(thm)],[c_0_56,c_0_71]) ).
cnf(c_0_77,hypothesis,
( extension(w,u,u1,extension(w1,u1,X1,X2)) = u
| w = u ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_20])]) ).
cnf(c_0_78,plain,
( equidistant(X1,X2,continuous(X2,X2,X2,X1,X3,extension(X4,X2,X3,X2)),X2)
| ~ between(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_74]) ).
cnf(c_0_79,hypothesis,
equidistant(u1,w1,u,w),
inference(spm,[status(thm)],[c_0_30,c_0_75]) ).
cnf(c_0_80,hypothesis,
( w = u
| equidistant(X1,X2,X3,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_21]) ).
cnf(c_0_81,plain,
( equidistant(X1,X2,X3,X3)
| ~ equidistant(X4,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_49]) ).
cnf(c_0_82,hypothesis,
( inner_pasch(v,X1,w,v,u) = v
| ~ between(v,X1,w) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_83,plain,
( equidistant(X1,X2,continuous(X3,X3,X3,X4,X5,extension(X6,X3,X5,X3)),X3)
| ~ between(X3,X4,X5)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_78]) ).
cnf(c_0_84,hypothesis,
equidistant(u,w,w1,u1),
inference(spm,[status(thm)],[c_0_30,c_0_79]) ).
cnf(c_0_85,hypothesis,
( w = u
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_17,c_0_80]) ).
cnf(c_0_86,plain,
equidistant(X1,continuous(X1,X1,X1,X1,X2,extension(X3,X1,X2,X1)),X4,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_69]),c_0_65])]) ).
cnf(c_0_87,hypothesis,
inner_pasch(v,w,w,v,u) = v,
inference(spm,[status(thm)],[c_0_82,c_0_24]) ).
cnf(c_0_88,hypothesis,
( inner_pasch(v1,X1,w1,v1,u1) = v1
| ~ between(v1,X1,w1) ),
inference(spm,[status(thm)],[c_0_19,c_0_36]) ).
cnf(c_0_89,hypothesis,
( equidistant(w1,u1,continuous(w,w,w,u,X1,extension(X2,w,X1,w)),w)
| ~ between(w,u,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,hypothesis,
w = u,
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_85])]) ).
cnf(c_0_91,plain,
continuous(X1,X1,X1,X1,X2,extension(X3,X1,X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_86]) ).
cnf(c_0_92,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_87]),c_0_28]),c_0_24])]) ).
cnf(c_0_93,hypothesis,
inner_pasch(v1,w1,w1,v1,u1) = v1,
inference(spm,[status(thm)],[c_0_88,c_0_24]) ).
cnf(c_0_94,hypothesis,
equidistant(w1,u1,u,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_91]),c_0_90]),c_0_90]),c_0_65])]) ).
cnf(c_0_95,hypothesis,
between(u,v,u),
inference(rw,[status(thm)],[c_0_92,c_0_90]) ).
cnf(c_0_96,hypothesis,
between(w1,v1,u1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_93]),c_0_36]),c_0_24])]) ).
cnf(c_0_97,hypothesis,
w1 = u1,
inference(spm,[status(thm)],[c_0_17,c_0_94]) ).
cnf(c_0_98,hypothesis,
v = u,
inference(spm,[status(thm)],[c_0_15,c_0_95]) ).
cnf(c_0_99,hypothesis,
between(u1,v1,u1),
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,negated_conjecture,
~ equidistant(u,u,v1,u1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_90]),c_0_98]),c_0_97]) ).
cnf(c_0_101,hypothesis,
v1 = u1,
inference(spm,[status(thm)],[c_0_15,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO032-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n027.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 19:43:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 33.28/33.39 % Version : CSE_E---1.5
% 33.28/33.39 % Problem : theBenchmark.p
% 33.28/33.39 % Proof found
% 33.28/33.39 % SZS status Theorem for theBenchmark.p
% 33.28/33.39 % SZS output start Proof
% See solution above
% 33.28/33.40 % Total time : 32.810000 s
% 33.28/33.40 % SZS output end Proof
% 33.28/33.40 % Total time : 32.815000 s
%------------------------------------------------------------------------------