TSTP Solution File: GEO053-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:33:35 EDT 2023

% Result   : Unsatisfiable 12.39s 2.10s
% Output   : CNFRefutation 12.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   91 (  25 unt;   6 nHn;  71 RR)
%            Number of literals    :  253 (  19 equ; 177 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   :  290 (  29 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.IZmC3kblki/E---3.1_27186.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.IZmC3kblki/E---3.1_27186.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.IZmC3kblki/E---3.1_27186.p',inner_pasch1) ).

cnf(identity_for_equidistance,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.IZmC3kblki/E---3.1_27186.p',identity_for_equidistance) ).

cnf(segment_construction2,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    file('/export/starexec/sandbox2/tmp/tmp.IZmC3kblki/E---3.1_27186.p',segment_construction2) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/tmp/tmp.IZmC3kblki/E---3.1_27186.p',v_between_u_and_w) ).

cnf(segment_construction1,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    file('/export/starexec/sandbox2/tmp/tmp.IZmC3kblki/E---3.1_27186.p',segment_construction1) ).

cnf(prove_v_equals_w,negated_conjecture,
    v != w,
    file('/export/starexec/sandbox2/tmp/tmp.IZmC3kblki/E---3.1_27186.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.IZmC3kblki/E---3.1_27186.p',transitivity_for_equidistance) ).

cnf(reflexivity_for_equidistance,axiom,
    equidistant(X1,X2,X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.IZmC3kblki/E---3.1_27186.p',reflexivity_for_equidistance) ).

cnf(u_to_v_equals_u_to_w,hypothesis,
    equidistant(u,v,u,w),
    file('/export/starexec/sandbox2/tmp/tmp.IZmC3kblki/E---3.1_27186.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.IZmC3kblki/E---3.1_27186.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.IZmC3kblki/E---3.1_27186.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.IZmC3kblki/E---3.1_27186.p',outer_five_segment) ).

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,
    ( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
    | ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3) ),
    inner_pasch1 ).

cnf(c_0_17,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_18,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    identity_for_equidistance ).

cnf(c_0_19,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    segment_construction2 ).

cnf(c_0_20,plain,
    ( between(X1,X2,X3)
    | ~ between(X3,X2,X4)
    | ~ between(X2,X1,X4) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_22,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    segment_construction1 ).

cnf(c_0_23,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,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_16]) ).

cnf(c_0_25,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_20,c_0_15]) ).

cnf(c_0_26,hypothesis,
    ( between(X1,v,u)
    | ~ between(v,X1,w) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,plain,
    between(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,plain,
    ( X1 = X2
    | ~ between(X1,X2,X3)
    | ~ between(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_24]) ).

cnf(c_0_29,plain,
    ( between(X1,X2,X3)
    | ~ between(X2,X1,X4)
    | ~ between(X2,X3,X5)
    | ~ between(X4,X2,X5) ),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

cnf(c_0_30,hypothesis,
    between(w,v,u),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,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_28,c_0_15]) ).

cnf(c_0_32,hypothesis,
    ( between(v,w,X1)
    | ~ between(u,w,X2)
    | ~ between(w,X1,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    ( X1 = X2
    | ~ between(X1,X2,X3)
    | ~ between(X1,X2,X4)
    | ~ between(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_31,c_0_24]) ).

cnf(c_0_34,hypothesis,
    ( between(v,w,X1)
    | ~ between(u,w,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_27]) ).

cnf(c_0_35,negated_conjecture,
    v != w,
    prove_v_equals_w ).

cnf(c_0_36,hypothesis,
    ( ~ between(v,w,X1)
    | ~ between(u,w,X2)
    | ~ between(X2,v,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_37,plain,
    ( between(X1,X2,X3)
    | ~ between(X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_27]) ).

cnf(c_0_38,hypothesis,
    ( ~ between(X1,v,extension(v,w,X2,X3))
    | ~ between(u,w,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_22]) ).

cnf(c_0_39,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_37,c_0_15]) ).

cnf(c_0_40,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_38,c_0_39]) ).

cnf(c_0_41,hypothesis,
    ( between(X1,v,w)
    | ~ between(v,X1,u) ),
    inference(spm,[status(thm)],[c_0_20,c_0_30]) ).

cnf(c_0_42,hypothesis,
    ( ~ between(u,w,X1)
    | ~ between(X1,v,X2)
    | ~ between(v,X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_24]) ).

cnf(c_0_43,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_41,c_0_15]) ).

cnf(c_0_44,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_42,c_0_43]) ).

cnf(c_0_45,hypothesis,
    ( ~ between(u,w,X1)
    | ~ between(v,X1,w)
    | ~ between(X1,v,X2)
    | ~ between(u,X1,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_24]) ).

cnf(c_0_46,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_45,c_0_15]) ).

cnf(c_0_47,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_46,c_0_24]) ).

cnf(c_0_48,hypothesis,
    ( ~ between(u,w,X1)
    | ~ between(u,X1,v)
    | ~ between(X1,v,X2)
    | ~ between(w,X1,X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_27]) ).

cnf(c_0_49,hypothesis,
    ( ~ between(u,w,X1)
    | ~ between(u,X1,v)
    | ~ between(w,X1,v) ),
    inference(spm,[status(thm)],[c_0_48,c_0_27]) ).

cnf(c_0_50,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_49,c_0_15]) ).

cnf(c_0_51,axiom,
    ( equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    transitivity_for_equidistance ).

cnf(c_0_52,axiom,
    equidistant(X1,X2,X2,X1),
    reflexivity_for_equidistance ).

cnf(c_0_53,hypothesis,
    ( ~ between(u,w,X1)
    | ~ between(u,X1,v)
    | ~ between(X1,w,X2)
    | ~ between(v,X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_24]) ).

cnf(c_0_54,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,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_53,c_0_39]) ).

cnf(c_0_56,plain,
    equidistant(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_54,c_0_52]) ).

cnf(c_0_57,hypothesis,
    equidistant(u,v,u,w),
    u_to_v_equals_u_to_w ).

cnf(c_0_58,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_55,c_0_24]) ).

cnf(c_0_59,plain,
    ( between(X1,X2,X3)
    | ~ between(extension(X2,X1,X4,X5),X2,X6)
    | ~ between(X2,X3,X6) ),
    inference(spm,[status(thm)],[c_0_29,c_0_22]) ).

cnf(c_0_60,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_56]) ).

cnf(c_0_61,hypothesis,
    ( equidistant(X1,X2,u,w)
    | ~ equidistant(u,v,X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_57]) ).

cnf(c_0_62,hypothesis,
    ( ~ between(u,w,X1)
    | ~ between(u,X1,v)
    | ~ between(X1,w,X2)
    | ~ between(w,X1,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_22]) ).

cnf(c_0_63,plain,
    ( between(X1,X2,X3)
    | ~ between(X2,X3,X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_27]) ).

cnf(c_0_64,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_65,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_66,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
    inference(spm,[status(thm)],[c_0_60,c_0_19]) ).

cnf(c_0_67,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_68,hypothesis,
    equidistant(v,u,u,w),
    inference(spm,[status(thm)],[c_0_61,c_0_52]) ).

cnf(c_0_69,hypothesis,
    ( ~ between(u,X1,v)
    | ~ between(w,X1,w) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_27]),c_0_63]) ).

cnf(c_0_70,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_64,c_0_57]) ).

cnf(c_0_71,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_54,c_0_65]) ).

cnf(c_0_72,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(spm,[status(thm)],[c_0_54,c_0_66]) ).

cnf(c_0_73,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_67,c_0_56]) ).

cnf(c_0_74,hypothesis,
    equidistant(u,w,u,v),
    inference(spm,[status(thm)],[c_0_54,c_0_68]) ).

cnf(c_0_75,plain,
    ( between(X1,X2,X3)
    | ~ between(X2,X3,X4)
    | ~ between(X1,X2,X4) ),
    inference(spm,[status(thm)],[c_0_29,c_0_27]) ).

cnf(c_0_76,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_69,c_0_70]) ).

cnf(c_0_77,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_18,c_0_71]) ).

cnf(c_0_78,plain,
    between(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_27]) ).

cnf(c_0_79,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,extension(X6,X5,X4,X3),X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_72]) ).

cnf(c_0_80,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_73,c_0_74]) ).

cnf(c_0_81,hypothesis,
    ( between(X1,u,v)
    | ~ between(X1,u,w) ),
    inference(spm,[status(thm)],[c_0_75,c_0_21]) ).

cnf(c_0_82,plain,
    ( between(X1,X2,X3)
    | ~ between(X2,X1,extension(X3,X2,X4,X5)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_22]) ).

cnf(c_0_83,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_76,c_0_77]),c_0_78]),c_0_57])]) ).

cnf(c_0_84,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),X6,X5),
    inference(spm,[status(thm)],[c_0_79,c_0_66]) ).

cnf(c_0_85,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_80,c_0_56]),c_0_56])]),c_0_81]) ).

cnf(c_0_86,plain,
    between(extension(X1,X2,X3,X4),X2,X1),
    inference(spm,[status(thm)],[c_0_82,c_0_27]) ).

cnf(c_0_87,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_83,c_0_84]) ).

cnf(c_0_88,hypothesis,
    ( extension(w,u,X1,X2) = u
    | equidistant(w,X3,v,X3) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_89,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_87,c_0_88]),c_0_23]),c_0_78]),c_0_23]),c_0_78])]) ).

cnf(c_0_90,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_89]),c_0_35]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Oct  3 06:55:21 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order model finding
% 0.22/0.50  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.IZmC3kblki/E---3.1_27186.p
% 12.39/2.10  # Version: 3.1pre001
% 12.39/2.10  # Preprocessing class: FSMSSMSSSSSNFFN.
% 12.39/2.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.39/2.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.39/2.10  # Starting new_bool_3 with 300s (1) cores
% 12.39/2.10  # Starting new_bool_1 with 300s (1) cores
% 12.39/2.10  # Starting sh5l with 300s (1) cores
% 12.39/2.10  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 27264 completed with status 0
% 12.39/2.10  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 12.39/2.10  # Preprocessing class: FSMSSMSSSSSNFFN.
% 12.39/2.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.39/2.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.39/2.10  # No SInE strategy applied
% 12.39/2.10  # Search class: FGUSS-FFMF33-SFFFFFNN
% 12.39/2.10  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.39/2.10  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 12.39/2.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 12.39/2.10  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 12.39/2.10  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 12.39/2.10  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 12.39/2.10  # SAT001_MinMin_p005000_rr_RG with pid 27275 completed with status 0
% 12.39/2.10  # Result found by SAT001_MinMin_p005000_rr_RG
% 12.39/2.10  # Preprocessing class: FSMSSMSSSSSNFFN.
% 12.39/2.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.39/2.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.39/2.10  # No SInE strategy applied
% 12.39/2.10  # Search class: FGUSS-FFMF33-SFFFFFNN
% 12.39/2.10  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.39/2.10  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 888s (1) cores
% 12.39/2.10  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 12.39/2.10  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 12.39/2.10  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 12.39/2.10  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 12.39/2.10  # Preprocessing time       : 0.001 s
% 12.39/2.10  # Presaturation interreduction done
% 12.39/2.10  
% 12.39/2.10  # Proof found!
% 12.39/2.10  # SZS status Unsatisfiable
% 12.39/2.10  # SZS output start CNFRefutation
% See solution above
% 12.39/2.11  # Parsed axioms                        : 21
% 12.39/2.11  # Removed by relevancy pruning/SinE    : 0
% 12.39/2.11  # Initial clauses                      : 21
% 12.39/2.11  # Removed in clause preprocessing      : 0
% 12.39/2.11  # Initial clauses in saturation        : 21
% 12.39/2.11  # Processed clauses                    : 8082
% 12.39/2.11  # ...of these trivial                  : 131
% 12.39/2.11  # ...subsumed                          : 5622
% 12.39/2.11  # ...remaining for further processing  : 2329
% 12.39/2.11  # Other redundant clauses eliminated   : 0
% 12.39/2.11  # Clauses deleted for lack of memory   : 0
% 12.39/2.11  # Backward-subsumed                    : 282
% 12.39/2.11  # Backward-rewritten                   : 19
% 12.39/2.11  # Generated clauses                    : 46189
% 12.39/2.11  # ...of the previous two non-redundant : 39476
% 12.39/2.11  # ...aggressively subsumed             : 0
% 12.39/2.11  # Contextual simplify-reflections      : 10
% 12.39/2.11  # Paramodulations                      : 46189
% 12.39/2.11  # Factorizations                       : 0
% 12.39/2.11  # NegExts                              : 0
% 12.39/2.11  # Equation resolutions                 : 0
% 12.39/2.11  # Total rewrite steps                  : 18326
% 12.39/2.11  # Propositional unsat checks           : 0
% 12.39/2.11  #    Propositional check models        : 0
% 12.39/2.11  #    Propositional check unsatisfiable : 0
% 12.39/2.11  #    Propositional clauses             : 0
% 12.39/2.11  #    Propositional clauses after purity: 0
% 12.39/2.11  #    Propositional unsat core size     : 0
% 12.39/2.11  #    Propositional preprocessing time  : 0.000
% 12.39/2.11  #    Propositional encoding time       : 0.000
% 12.39/2.11  #    Propositional solver time         : 0.000
% 12.39/2.11  #    Success case prop preproc time    : 0.000
% 12.39/2.11  #    Success case prop encoding time   : 0.000
% 12.39/2.11  #    Success case prop solver time     : 0.000
% 12.39/2.11  # Current number of processed clauses  : 2007
% 12.39/2.11  #    Positive orientable unit clauses  : 149
% 12.39/2.11  #    Positive unorientable unit clauses: 0
% 12.39/2.11  #    Negative unit clauses             : 115
% 12.39/2.11  #    Non-unit-clauses                  : 1743
% 12.39/2.11  # Current number of unprocessed clauses: 30858
% 12.39/2.11  # ...number of literals in the above   : 187139
% 12.39/2.11  # Current number of archived formulas  : 0
% 12.39/2.11  # Current number of archived clauses   : 322
% 12.39/2.11  # Clause-clause subsumption calls (NU) : 2794726
% 12.39/2.11  # Rec. Clause-clause subsumption calls : 523789
% 12.39/2.11  # Non-unit clause-clause subsumptions  : 3599
% 12.39/2.11  # Unit Clause-clause subsumption calls : 95837
% 12.39/2.11  # Rewrite failures with RHS unbound    : 0
% 12.39/2.11  # BW rewrite match attempts            : 5457
% 12.39/2.11  # BW rewrite match successes           : 21
% 12.39/2.11  # Condensation attempts                : 0
% 12.39/2.11  # Condensation successes               : 0
% 12.39/2.11  # Termbank termtop insertions          : 1176567
% 12.39/2.11  
% 12.39/2.11  # -------------------------------------------------
% 12.39/2.11  # User time                : 1.525 s
% 12.39/2.11  # System time              : 0.030 s
% 12.39/2.11  # Total time               : 1.554 s
% 12.39/2.11  # Maximum resident set size: 1632 pages
% 12.39/2.11  
% 12.39/2.11  # -------------------------------------------------
% 12.39/2.11  # User time                : 7.448 s
% 12.39/2.11  # System time              : 0.213 s
% 12.39/2.11  # Total time               : 7.661 s
% 12.39/2.11  # Maximum resident set size: 1688 pages
% 12.39/2.11  % E---3.1 exiting
%------------------------------------------------------------------------------