TSTP Solution File: GEO053-2 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 : Sat May 4 07:44:03 EDT 2024
% Result : Unsatisfiable 14.79s 2.33s
% Output : CNFRefutation 14.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 14
% Syntax : Number of clauses : 100 ( 26 unt; 7 nHn; 80 RR)
% Number of literals : 285 ( 23 equ; 200 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-6 aty)
% Number of variables : 331 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',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/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',inner_pasch2) ).
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/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',inner_pasch1) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',segment_construction2) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',v_between_u_and_w) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',segment_construction1) ).
cnf(prove_v_equals_w,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',prove_v_equals_w) ).
cnf(transitivity_for_equidistance,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',transitivity_for_equidistance) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',reflexivity_for_equidistance) ).
cnf(u_to_v_equals_u_to_w,hypothesis,
equidistant(u,v,u,w),
file('/export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',u_to_v_equals_u_to_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/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',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/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',continuity2) ).
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/tmp/tmp.DVP01NCCCV/E---3.1_7018.p',outer_five_segment) ).
cnf(c_0_14,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_15,plain,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inference(fof_simplification,[status(thm)],[inner_pasch2]) ).
cnf(c_0_16,plain,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inference(fof_simplification,[status(thm)],[inner_pasch1]) ).
cnf(c_0_17,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
c_0_14 ).
cnf(c_0_18,plain,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
c_0_15 ).
cnf(c_0_19,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_20,plain,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
c_0_16 ).
cnf(c_0_21,plain,
( inner_pasch(X1,X2,X3,X1,X4) = X1
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
c_0_19 ).
cnf(c_0_23,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_24,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X4)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_26,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_27,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( inner_pasch(X1,X2,X3,X4,X2) = X2
| ~ between(X2,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_29,plain,
( between(X1,inner_pasch(X2,X3,X4,X5,X6),X5)
| ~ between(inner_pasch(X2,X3,X4,X5,X6),X1,X2)
| ~ between(X6,X5,X4)
| ~ between(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_30,hypothesis,
( between(X1,v,u)
| ~ between(v,X1,w) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
cnf(c_0_33,plain,
( between(X1,X2,X3)
| ~ between(X2,X1,X4)
| ~ between(X2,X3,X5)
| ~ between(X4,X2,X5) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_34,hypothesis,
between(w,v,u),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( inner_pasch(X1,X2,X3,X4,X5) = X4
| ~ between(inner_pasch(X1,X2,X3,X4,X5),X4,X1)
| ~ between(X5,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_18]) ).
cnf(c_0_36,hypothesis,
( between(v,w,X1)
| ~ between(u,w,X2)
| ~ between(w,X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
v != w,
inference(fof_simplification,[status(thm)],[prove_v_equals_w]) ).
cnf(c_0_38,plain,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_39,hypothesis,
( between(v,w,X1)
| ~ between(u,w,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
v != w,
c_0_37 ).
cnf(c_0_41,hypothesis,
( ~ between(v,w,X1)
| ~ between(u,w,X2)
| ~ between(X2,v,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_42,plain,
( between(X1,X2,X3)
| ~ between(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_43,hypothesis,
( ~ between(X1,v,extension(v,w,X2,X3))
| ~ between(u,w,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_44,plain,
( between(inner_pasch(X1,X2,X3,X1,X4),X1,X5)
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_18]) ).
cnf(c_0_45,hypothesis,
( ~ between(u,w,inner_pasch(v,X1,X2,v,X3))
| ~ between(X3,v,X2)
| ~ between(v,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_46,hypothesis,
( between(X1,v,w)
| ~ between(v,X1,u) ),
inference(spm,[status(thm)],[c_0_24,c_0_34]) ).
cnf(c_0_47,hypothesis,
( ~ between(u,w,X1)
| ~ between(X1,v,X2)
| ~ between(v,X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_28]) ).
cnf(c_0_48,hypothesis,
( between(inner_pasch(u,X1,X2,v,X3),v,w)
| ~ between(X3,v,X2)
| ~ between(u,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_18]) ).
cnf(c_0_49,hypothesis,
( ~ between(u,w,inner_pasch(u,X1,X2,v,X3))
| ~ between(v,inner_pasch(u,X1,X2,v,X3),w)
| ~ between(X3,v,X2)
| ~ between(u,X1,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,hypothesis,
( ~ between(u,w,X1)
| ~ between(v,X1,w)
| ~ between(X1,v,X2)
| ~ between(u,X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_51,hypothesis,
( ~ between(u,w,inner_pasch(w,X1,X2,v,X3))
| ~ between(inner_pasch(w,X1,X2,v,X3),v,X4)
| ~ between(u,inner_pasch(w,X1,X2,v,X3),X4)
| ~ between(X3,v,X2)
| ~ between(w,X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_18]) ).
cnf(c_0_52,hypothesis,
( ~ between(u,w,X1)
| ~ between(X1,v,X2)
| ~ between(u,X1,X2)
| ~ between(X1,v,X3)
| ~ between(w,X1,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_28]) ).
cnf(c_0_53,hypothesis,
( ~ between(u,w,X1)
| ~ between(u,X1,v)
| ~ between(X1,v,X2)
| ~ between(w,X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_31]) ).
cnf(c_0_54,hypothesis,
( ~ between(u,w,X1)
| ~ between(u,X1,v)
| ~ between(w,X1,v) ),
inference(spm,[status(thm)],[c_0_53,c_0_31]) ).
cnf(c_0_55,plain,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(fof_simplification,[status(thm)],[transitivity_for_equidistance]) ).
cnf(c_0_56,hypothesis,
( ~ between(u,w,inner_pasch(v,X1,X2,w,X3))
| ~ between(u,inner_pasch(v,X1,X2,w,X3),v)
| ~ between(X3,w,X2)
| ~ between(v,X1,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_18]) ).
cnf(c_0_57,plain,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
c_0_55 ).
cnf(c_0_58,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_59,hypothesis,
( ~ between(u,w,X1)
| ~ between(u,X1,v)
| ~ between(X1,w,X2)
| ~ between(v,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_28]) ).
cnf(c_0_60,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,hypothesis,
( ~ between(u,w,inner_pasch(w,X1,X2,w,X3))
| ~ between(u,inner_pasch(w,X1,X2,w,X3),v)
| ~ between(v,inner_pasch(w,X1,X2,w,X3),X4)
| ~ between(X3,w,X2)
| ~ between(w,X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_44]) ).
cnf(c_0_62,plain,
equidistant(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_58]) ).
cnf(c_0_63,hypothesis,
equidistant(u,v,u,w),
u_to_v_equals_u_to_w ).
cnf(c_0_64,hypothesis,
( ~ between(u,w,X1)
| ~ between(u,X1,v)
| ~ between(v,X1,X2)
| ~ between(X1,w,X3)
| ~ between(w,X1,X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_28]) ).
cnf(c_0_65,plain,
( between(X1,X2,X3)
| ~ between(extension(X2,X1,X4,X5),X2,X6)
| ~ between(X2,X3,X6) ),
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
cnf(c_0_66,plain,
( 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) ),
inference(fof_simplification,[status(thm)],[continuity1]) ).
cnf(c_0_67,plain,
( 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) ),
inference(fof_simplification,[status(thm)],[continuity2]) ).
cnf(c_0_68,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_62]) ).
cnf(c_0_69,plain,
( 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) ),
inference(fof_simplification,[status(thm)],[outer_five_segment]) ).
cnf(c_0_70,hypothesis,
( equidistant(X1,X2,u,w)
| ~ equidistant(u,v,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_63]) ).
cnf(c_0_71,hypothesis,
( ~ between(u,w,X1)
| ~ between(u,X1,v)
| ~ between(X1,w,X2)
| ~ between(w,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
cnf(c_0_72,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_31]) ).
cnf(c_0_73,plain,
( 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) ),
c_0_66 ).
cnf(c_0_74,plain,
( 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) ),
c_0_67 ).
cnf(c_0_75,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(spm,[status(thm)],[c_0_68,c_0_23]) ).
cnf(c_0_76,plain,
( 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) ),
c_0_69 ).
cnf(c_0_77,hypothesis,
equidistant(v,u,u,w),
inference(spm,[status(thm)],[c_0_70,c_0_58]) ).
cnf(c_0_78,hypothesis,
( ~ between(u,X1,v)
| ~ between(w,X1,w) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_31]),c_0_72]) ).
cnf(c_0_79,hypothesis,
( between(X1,continuous(u,X2,X1,X3,v,w),w)
| ~ between(u,X2,v)
| ~ between(X2,X3,v)
| ~ equidistant(u,X2,u,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_63]) ).
cnf(c_0_80,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_60,c_0_74]) ).
cnf(c_0_81,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(spm,[status(thm)],[c_0_60,c_0_75]) ).
cnf(c_0_82,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_76,c_0_62]) ).
cnf(c_0_83,hypothesis,
equidistant(u,w,u,v),
inference(spm,[status(thm)],[c_0_60,c_0_77]) ).
cnf(c_0_84,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_85,hypothesis,
( ~ between(u,continuous(u,X1,w,X2,v,w),v)
| ~ between(u,X1,v)
| ~ between(X1,X2,v)
| ~ equidistant(u,X1,u,w) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,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_22,c_0_80]) ).
cnf(c_0_87,plain,
between(X1,X1,X2),
inference(spm,[status(thm)],[c_0_42,c_0_31]) ).
cnf(c_0_88,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,extension(X6,X5,X4,X3),X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_81]) ).
cnf(c_0_89,hypothesis,
( X1 = u
| equidistant(w,X2,v,X2)
| ~ between(X3,u,v)
| ~ between(X1,u,w)
| ~ equidistant(X1,u,X3,u)
| ~ equidistant(X1,X2,X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,hypothesis,
( between(X1,u,v)
| ~ between(X1,u,w) ),
inference(spm,[status(thm)],[c_0_84,c_0_25]) ).
cnf(c_0_91,plain,
( between(X1,X2,X3)
| ~ between(X2,X1,extension(X3,X2,X4,X5)) ),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
cnf(c_0_92,hypothesis,
( ~ between(u,X1,v)
| ~ between(X1,u,v)
| ~ equidistant(u,X1,u,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_63])]) ).
cnf(c_0_93,plain,
equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),X6,X5),
inference(spm,[status(thm)],[c_0_88,c_0_75]) ).
cnf(c_0_94,hypothesis,
( X1 = u
| equidistant(w,X2,v,X2)
| ~ between(X1,u,w) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_62]),c_0_62])]),c_0_90]) ).
cnf(c_0_95,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_91,c_0_31]) ).
cnf(c_0_96,hypothesis,
( ~ between(u,extension(X1,u,X2,extension(X3,X2,w,u)),v)
| ~ between(extension(X1,u,X2,extension(X3,X2,w,u)),u,v) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,hypothesis,
( extension(w,u,X1,X2) = u
| equidistant(w,X3,v,X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,hypothesis,
equidistant(w,X1,v,X1),
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_96,c_0_97]),c_0_27]),c_0_87]),c_0_27]),c_0_87])]) ).
cnf(c_0_99,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_98]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 18:44:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.DVP01NCCCV/E---3.1_7018.p
% 14.79/2.33 # Version: 3.1.0
% 14.79/2.33 # Preprocessing class: FSMSSMSSSSSNFFN.
% 14.79/2.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.79/2.33 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.79/2.33 # Starting new_bool_3 with 300s (1) cores
% 14.79/2.33 # Starting new_bool_1 with 300s (1) cores
% 14.79/2.33 # Starting sh5l with 300s (1) cores
% 14.79/2.33 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7095 completed with status 0
% 14.79/2.33 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.79/2.33 # Preprocessing class: FSMSSMSSSSSNFFN.
% 14.79/2.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.79/2.33 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.79/2.33 # No SInE strategy applied
% 14.79/2.33 # Search class: FGUSS-FFMF33-SFFFFFNN
% 14.79/2.33 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 14.79/2.33 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 14.79/2.33 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.79/2.33 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 14.79/2.33 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 14.79/2.33 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 14.79/2.33 # SAT001_MinMin_p005000_rr_RG with pid 7107 completed with status 0
% 14.79/2.33 # Result found by SAT001_MinMin_p005000_rr_RG
% 14.79/2.33 # Preprocessing class: FSMSSMSSSSSNFFN.
% 14.79/2.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.79/2.33 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.79/2.33 # No SInE strategy applied
% 14.79/2.33 # Search class: FGUSS-FFMF33-SFFFFFNN
% 14.79/2.33 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 14.79/2.33 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 14.79/2.33 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.79/2.33 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 14.79/2.33 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 14.79/2.33 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 14.79/2.33 # Preprocessing time : 0.001 s
% 14.79/2.33 # Presaturation interreduction done
% 14.79/2.33
% 14.79/2.33 # Proof found!
% 14.79/2.33 # SZS status Unsatisfiable
% 14.79/2.33 # SZS output start CNFRefutation
% See solution above
% 14.79/2.33 # Parsed axioms : 21
% 14.79/2.33 # Removed by relevancy pruning/SinE : 0
% 14.79/2.33 # Initial clauses : 21
% 14.79/2.33 # Removed in clause preprocessing : 0
% 14.79/2.33 # Initial clauses in saturation : 21
% 14.79/2.33 # Processed clauses : 8082
% 14.79/2.33 # ...of these trivial : 131
% 14.79/2.33 # ...subsumed : 5622
% 14.79/2.33 # ...remaining for further processing : 2329
% 14.79/2.33 # Other redundant clauses eliminated : 0
% 14.79/2.33 # Clauses deleted for lack of memory : 0
% 14.79/2.33 # Backward-subsumed : 282
% 14.79/2.33 # Backward-rewritten : 19
% 14.79/2.33 # Generated clauses : 46189
% 14.79/2.33 # ...of the previous two non-redundant : 39476
% 14.79/2.33 # ...aggressively subsumed : 0
% 14.79/2.33 # Contextual simplify-reflections : 10
% 14.79/2.33 # Paramodulations : 46189
% 14.79/2.33 # Factorizations : 0
% 14.79/2.33 # NegExts : 0
% 14.79/2.33 # Equation resolutions : 0
% 14.79/2.33 # Disequality decompositions : 0
% 14.79/2.33 # Total rewrite steps : 18326
% 14.79/2.33 # ...of those cached : 17352
% 14.79/2.33 # Propositional unsat checks : 0
% 14.79/2.33 # Propositional check models : 0
% 14.79/2.33 # Propositional check unsatisfiable : 0
% 14.79/2.33 # Propositional clauses : 0
% 14.79/2.33 # Propositional clauses after purity: 0
% 14.79/2.33 # Propositional unsat core size : 0
% 14.79/2.33 # Propositional preprocessing time : 0.000
% 14.79/2.33 # Propositional encoding time : 0.000
% 14.79/2.33 # Propositional solver time : 0.000
% 14.79/2.33 # Success case prop preproc time : 0.000
% 14.79/2.33 # Success case prop encoding time : 0.000
% 14.79/2.33 # Success case prop solver time : 0.000
% 14.79/2.33 # Current number of processed clauses : 2007
% 14.79/2.33 # Positive orientable unit clauses : 149
% 14.79/2.33 # Positive unorientable unit clauses: 0
% 14.79/2.33 # Negative unit clauses : 115
% 14.79/2.33 # Non-unit-clauses : 1743
% 14.79/2.33 # Current number of unprocessed clauses: 30858
% 14.79/2.33 # ...number of literals in the above : 187139
% 14.79/2.33 # Current number of archived formulas : 0
% 14.79/2.33 # Current number of archived clauses : 322
% 14.79/2.33 # Clause-clause subsumption calls (NU) : 2798468
% 14.79/2.33 # Rec. Clause-clause subsumption calls : 523901
% 14.79/2.33 # Non-unit clause-clause subsumptions : 3599
% 14.79/2.33 # Unit Clause-clause subsumption calls : 95837
% 14.79/2.33 # Rewrite failures with RHS unbound : 0
% 14.79/2.33 # BW rewrite match attempts : 5457
% 14.79/2.33 # BW rewrite match successes : 21
% 14.79/2.33 # Condensation attempts : 0
% 14.79/2.33 # Condensation successes : 0
% 14.79/2.33 # Termbank termtop insertions : 1176734
% 14.79/2.33 # Search garbage collected termcells : 75
% 14.79/2.33
% 14.79/2.33 # -------------------------------------------------
% 14.79/2.33 # User time : 1.840 s
% 14.79/2.33 # System time : 0.025 s
% 14.79/2.33 # Total time : 1.864 s
% 14.79/2.33 # Maximum resident set size: 1652 pages
% 14.79/2.33
% 14.79/2.33 # -------------------------------------------------
% 14.79/2.33 # User time : 9.166 s
% 14.79/2.33 # System time : 0.224 s
% 14.79/2.33 # Total time : 9.390 s
% 14.79/2.33 # Maximum resident set size: 1704 pages
% 14.79/2.33 % E---3.1 exiting
%------------------------------------------------------------------------------