TSTP Solution File: GEO255+3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO255+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n031.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 : Tue Aug 22 10:38:54 EDT 2023

% Result   : Theorem 33.01s 22.04s
% Output   : CNFRefutation 33.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  105 (  20 unt;  25 typ;   0 def)
%            Number of atoms       :  159 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  134 (  55   ~;  67   |;   5   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  22   >;  23   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  145 (; 145   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_opposite_lines > unequally_directed_lines > right_convergent_lines > right_apart_point > left_convergent_lines > left_apart_point > incident_point_and_line > equally_directed_opposite_lines > equally_directed_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > line_connecting > intersection_point > #nlpp > reverse_line > #skF_2 > #skF_3 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(line_connecting,type,
    line_connecting: ( $i * $i ) > $i ).

tff(incident_point_and_line,type,
    incident_point_and_line: ( $i * $i ) > $o ).

tff(distinct_points,type,
    distinct_points: ( $i * $i ) > $o ).

tff(unequally_directed_opposite_lines,type,
    unequally_directed_opposite_lines: ( $i * $i ) > $o ).

tff(intersection_point,type,
    intersection_point: ( $i * $i ) > $i ).

tff(parallel_through_point,type,
    parallel_through_point: ( $i * $i ) > $i ).

tff(apart_point_and_line,type,
    apart_point_and_line: ( $i * $i ) > $o ).

tff(convergent_lines,type,
    convergent_lines: ( $i * $i ) > $o ).

tff(equally_directed_opposite_lines,type,
    equally_directed_opposite_lines: ( $i * $i ) > $o ).

tff(right_apart_point,type,
    right_apart_point: ( $i * $i ) > $o ).

tff(point,type,
    point: $i > $o ).

tff(reverse_line,type,
    reverse_line: $i > $i ).

tff(line,type,
    line: $i > $o ).

tff(between_on_line,type,
    between_on_line: ( $i * $i * $i * $i ) > $o ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff(equally_directed_lines,type,
    equally_directed_lines: ( $i * $i ) > $o ).

tff('#skF_3',type,
    '#skF_3': $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff(left_convergent_lines,type,
    left_convergent_lines: ( $i * $i ) > $o ).

tff(distinct_lines,type,
    distinct_lines: ( $i * $i ) > $o ).

tff(before_on_line,type,
    before_on_line: ( $i * $i * $i ) > $o ).

tff(divides_points,type,
    divides_points: ( $i * $i * $i ) > $o ).

tff(left_apart_point,type,
    left_apart_point: ( $i * $i ) > $o ).

tff(unequally_directed_lines,type,
    unequally_directed_lines: ( $i * $i ) > $o ).

tff(right_convergent_lines,type,
    right_convergent_lines: ( $i * $i ) > $o ).

tff(f_287,negated_conjecture,
    ~ ! [L,A,B] :
        ~ ( before_on_line(L,A,B)
          & before_on_line(L,B,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

tff(f_103,axiom,
    ! [L,A,B] :
      ( before_on_line(L,A,B)
    <=> ( distinct_points(A,B)
        & incident_point_and_line(A,L)
        & incident_point_and_line(B,L)
        & equally_directed_lines(L,line_connecting(A,B)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax4_defns) ).

tff(f_66,axiom,
    ! [X,Y] :
      ( equally_directed_lines(X,Y)
    <=> ~ unequally_directed_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_defns) ).

tff(f_139,axiom,
    ! [L,M,N] :
      ( unequally_directed_lines(L,M)
     => ( unequally_directed_lines(L,N)
        | unequally_directed_lines(M,N) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).

tff(f_155,axiom,
    ! [L,M] :
      ( unequally_directed_lines(L,M)
      | unequally_directed_lines(L,reverse_line(M)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).

tff(f_53,axiom,
    ! [X,Y] :
      ( unequally_directed_opposite_lines(X,Y)
    <=> unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).

tff(f_133,axiom,
    ! [L] : equally_directed_lines(L,L),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).

tff(f_173,axiom,
    ! [L,M] :
      ~ ( left_convergent_lines(L,M)
        | left_convergent_lines(L,reverse_line(M)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).

tff(f_163,axiom,
    ! [L,M] :
      ( ( unequally_directed_lines(L,M)
        & unequally_directed_lines(L,reverse_line(M)) )
     => ( left_convergent_lines(L,M)
        | left_convergent_lines(L,reverse_line(M)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).

tff(f_71,axiom,
    ! [X,Y] :
      ( equally_directed_opposite_lines(X,Y)
    <=> ~ unequally_directed_opposite_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a5_defns) ).

tff(f_229,axiom,
    ! [A,B] :
      ( distinct_points(A,B)
     => equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_cons_objs) ).

tff(c_134,plain,
    before_on_line('#skF_1','#skF_3','#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_287]) ).

tff(c_48,plain,
    ! [L_18,A_19,B_20] :
      ( equally_directed_lines(L_18,line_connecting(A_19,B_20))
      | ~ before_on_line(L_18,A_19,B_20) ),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_16,plain,
    ! [X_7,Y_8] :
      ( equally_directed_lines(X_7,Y_8)
      | unequally_directed_lines(X_7,Y_8) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_600,plain,
    ! [M_201,N_202,L_203] :
      ( unequally_directed_lines(M_201,N_202)
      | unequally_directed_lines(L_203,N_202)
      | ~ unequally_directed_lines(L_203,M_201) ),
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_2430,plain,
    ! [Y_337,N_338,X_339] :
      ( unequally_directed_lines(Y_337,N_338)
      | unequally_directed_lines(X_339,N_338)
      | equally_directed_lines(X_339,Y_337) ),
    inference(resolution,[status(thm)],[c_16,c_600]) ).

tff(c_14,plain,
    ! [X_7,Y_8] :
      ( ~ unequally_directed_lines(X_7,Y_8)
      | ~ equally_directed_lines(X_7,Y_8) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_5388,plain,
    ! [X_440,N_441,Y_442] :
      ( ~ equally_directed_lines(X_440,N_441)
      | unequally_directed_lines(Y_442,N_441)
      | equally_directed_lines(X_440,Y_442) ),
    inference(resolution,[status(thm)],[c_2430,c_14]) ).

tff(c_105791,plain,
    ! [Y_1767,A_1768,B_1769,L_1770] :
      ( unequally_directed_lines(Y_1767,line_connecting(A_1768,B_1769))
      | equally_directed_lines(L_1770,Y_1767)
      | ~ before_on_line(L_1770,A_1768,B_1769) ),
    inference(resolution,[status(thm)],[c_48,c_5388]) ).

tff(c_105807,plain,
    ! [Y_1771] :
      ( unequally_directed_lines(Y_1771,line_connecting('#skF_3','#skF_2'))
      | equally_directed_lines('#skF_1',Y_1771) ),
    inference(resolution,[status(thm)],[c_134,c_105791]) ).

tff(c_88,plain,
    ! [L_40,M_41] :
      ( unequally_directed_lines(L_40,reverse_line(M_41))
      | unequally_directed_lines(L_40,M_41) ),
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_259,plain,
    ! [X_144,Y_145] :
      ( unequally_directed_opposite_lines(X_144,Y_145)
      | ~ unequally_directed_lines(X_144,reverse_line(Y_145)) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_271,plain,
    ! [L_40,M_41] :
      ( unequally_directed_opposite_lines(L_40,M_41)
      | unequally_directed_lines(L_40,M_41) ),
    inference(resolution,[status(thm)],[c_88,c_259]) ).

tff(c_76,plain,
    ! [L_33] : equally_directed_lines(L_33,L_33),
    inference(cnfTransformation,[status(thm)],[f_133]) ).

tff(c_290,plain,
    ! [X_152,Y_153] :
      ( unequally_directed_lines(X_152,reverse_line(Y_153))
      | ~ unequally_directed_opposite_lines(X_152,Y_153) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_405,plain,
    ! [X_174,Y_175] :
      ( ~ equally_directed_lines(X_174,reverse_line(Y_175))
      | ~ unequally_directed_opposite_lines(X_174,Y_175) ),
    inference(resolution,[status(thm)],[c_290,c_14]) ).

tff(c_416,plain,
    ! [Y_176] : ~ unequally_directed_opposite_lines(reverse_line(Y_176),Y_176),
    inference(resolution,[status(thm)],[c_76,c_405]) ).

tff(c_427,plain,
    ! [M_177] : unequally_directed_lines(reverse_line(M_177),M_177),
    inference(resolution,[status(thm)],[c_271,c_416]) ).

tff(c_96,plain,
    ! [L_46,M_47] : ~ left_convergent_lines(L_46,M_47),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_90,plain,
    ! [L_42,M_43] :
      ( left_convergent_lines(L_42,reverse_line(M_43))
      | left_convergent_lines(L_42,M_43)
      | ~ unequally_directed_lines(L_42,reverse_line(M_43))
      | ~ unequally_directed_lines(L_42,M_43) ),
    inference(cnfTransformation,[status(thm)],[f_163]) ).

tff(c_144,plain,
    ! [L_42,M_43] :
      ( ~ unequally_directed_lines(L_42,reverse_line(M_43))
      | ~ unequally_directed_lines(L_42,M_43) ),
    inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).

tff(c_443,plain,
    ! [M_43] : ~ unequally_directed_lines(reverse_line(reverse_line(M_43)),M_43),
    inference(resolution,[status(thm)],[c_427,c_144]) ).

tff(c_105971,plain,
    equally_directed_lines('#skF_1',reverse_line(reverse_line(line_connecting('#skF_3','#skF_2')))),
    inference(resolution,[status(thm)],[c_105807,c_443]) ).

tff(c_3531,plain,
    ! [M_377,N_378,L_379] :
      ( unequally_directed_lines(reverse_line(M_377),N_378)
      | unequally_directed_lines(L_379,N_378)
      | unequally_directed_lines(L_379,M_377) ),
    inference(resolution,[status(thm)],[c_88,c_600]) ).

tff(c_4,plain,
    ! [X_1,Y_2] :
      ( unequally_directed_opposite_lines(X_1,Y_2)
      | ~ unequally_directed_lines(X_1,reverse_line(Y_2)) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_13431,plain,
    ! [L_646,Y_647,N_648] :
      ( unequally_directed_opposite_lines(L_646,Y_647)
      | unequally_directed_lines(reverse_line(reverse_line(Y_647)),N_648)
      | unequally_directed_lines(L_646,N_648) ),
    inference(resolution,[status(thm)],[c_3531,c_4]) ).

tff(c_425,plain,
    ! [M_41] : unequally_directed_lines(reverse_line(M_41),M_41),
    inference(resolution,[status(thm)],[c_271,c_416]) ).

tff(c_1130,plain,
    ! [M_236,N_237] :
      ( unequally_directed_lines(M_236,N_237)
      | unequally_directed_lines(reverse_line(M_236),N_237) ),
    inference(resolution,[status(thm)],[c_425,c_600]) ).

tff(c_1168,plain,
    ! [M_242,N_243] :
      ( ~ equally_directed_lines(reverse_line(M_242),N_243)
      | unequally_directed_lines(M_242,N_243) ),
    inference(resolution,[status(thm)],[c_1130,c_14]) ).

tff(c_1194,plain,
    ! [M_244] : unequally_directed_lines(M_244,reverse_line(M_244)),
    inference(resolution,[status(thm)],[c_76,c_1168]) ).

tff(c_1211,plain,
    ! [M_244] : ~ unequally_directed_lines(M_244,M_244),
    inference(resolution,[status(thm)],[c_1194,c_144]) ).

tff(c_13689,plain,
    ! [N_648,Y_647] :
      ( unequally_directed_opposite_lines(N_648,Y_647)
      | unequally_directed_lines(reverse_line(reverse_line(Y_647)),N_648) ),
    inference(resolution,[status(thm)],[c_13431,c_1211]) ).

tff(c_6684,plain,
    ! [X_481,Y_482,Y_483] :
      ( unequally_directed_opposite_lines(X_481,Y_482)
      | unequally_directed_lines(Y_483,reverse_line(Y_482))
      | equally_directed_lines(X_481,Y_483) ),
    inference(resolution,[status(thm)],[c_2430,c_4]) ).

tff(c_20,plain,
    ! [X_9,Y_10] :
      ( equally_directed_opposite_lines(X_9,Y_10)
      | unequally_directed_opposite_lines(X_9,Y_10) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_2,plain,
    ! [X_1,Y_2] :
      ( unequally_directed_lines(X_1,reverse_line(Y_2))
      | ~ unequally_directed_opposite_lines(X_1,Y_2) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_299,plain,
    ! [L_154,M_155] :
      ( ~ unequally_directed_lines(L_154,reverse_line(M_155))
      | ~ unequally_directed_lines(L_154,M_155) ),
    inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).

tff(c_323,plain,
    ! [X_156,Y_157] :
      ( ~ unequally_directed_lines(X_156,Y_157)
      | ~ unequally_directed_opposite_lines(X_156,Y_157) ),
    inference(resolution,[status(thm)],[c_2,c_299]) ).

tff(c_334,plain,
    ! [X_9,Y_10] :
      ( ~ unequally_directed_lines(X_9,Y_10)
      | equally_directed_opposite_lines(X_9,Y_10) ),
    inference(resolution,[status(thm)],[c_20,c_323]) ).

tff(c_41869,plain,
    ! [Y_1043,Y_1044,X_1045] :
      ( equally_directed_opposite_lines(Y_1043,reverse_line(Y_1044))
      | unequally_directed_opposite_lines(X_1045,Y_1044)
      | equally_directed_lines(X_1045,Y_1043) ),
    inference(resolution,[status(thm)],[c_6684,c_334]) ).

tff(c_446,plain,
    ! [Y_178] : equally_directed_opposite_lines(reverse_line(Y_178),Y_178),
    inference(resolution,[status(thm)],[c_20,c_416]) ).

tff(c_274,plain,
    ! [L_146,M_147] :
      ( unequally_directed_opposite_lines(L_146,M_147)
      | unequally_directed_lines(L_146,M_147) ),
    inference(resolution,[status(thm)],[c_88,c_259]) ).

tff(c_18,plain,
    ! [X_9,Y_10] :
      ( ~ unequally_directed_opposite_lines(X_9,Y_10)
      | ~ equally_directed_opposite_lines(X_9,Y_10) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_279,plain,
    ! [L_148,M_149] :
      ( ~ equally_directed_opposite_lines(L_148,M_149)
      | unequally_directed_lines(L_148,M_149) ),
    inference(resolution,[status(thm)],[c_274,c_18]) ).

tff(c_288,plain,
    ! [L_148,M_149] :
      ( ~ equally_directed_lines(L_148,M_149)
      | ~ equally_directed_opposite_lines(L_148,M_149) ),
    inference(resolution,[status(thm)],[c_279,c_14]) ).

tff(c_450,plain,
    ! [Y_178] : ~ equally_directed_lines(reverse_line(Y_178),Y_178),
    inference(resolution,[status(thm)],[c_446,c_288]) ).

tff(c_42382,plain,
    ! [Y_1046,Y_1047] :
      ( equally_directed_opposite_lines(Y_1046,reverse_line(Y_1047))
      | unequally_directed_opposite_lines(reverse_line(Y_1046),Y_1047) ),
    inference(resolution,[status(thm)],[c_41869,c_450]) ).

tff(c_318,plain,
    ! [X_1,Y_2] :
      ( ~ unequally_directed_lines(X_1,Y_2)
      | ~ unequally_directed_opposite_lines(X_1,Y_2) ),
    inference(resolution,[status(thm)],[c_2,c_299]) ).

tff(c_42495,plain,
    ! [Y_1048,Y_1049] :
      ( ~ unequally_directed_lines(reverse_line(Y_1048),Y_1049)
      | equally_directed_opposite_lines(Y_1048,reverse_line(Y_1049)) ),
    inference(resolution,[status(thm)],[c_42382,c_318]) ).

tff(c_43947,plain,
    ! [Y_1060,N_1061] :
      ( equally_directed_opposite_lines(reverse_line(Y_1060),reverse_line(N_1061))
      | unequally_directed_opposite_lines(N_1061,Y_1060) ),
    inference(resolution,[status(thm)],[c_13689,c_42495]) ).

tff(c_1885,plain,
    ! [M_301,Y_302] :
      ( unequally_directed_opposite_lines(reverse_line(M_301),Y_302)
      | unequally_directed_lines(M_301,reverse_line(Y_302)) ),
    inference(resolution,[status(thm)],[c_1130,c_4]) ).

tff(c_1941,plain,
    ! [M_309,Y_310] :
      ( ~ equally_directed_opposite_lines(reverse_line(M_309),Y_310)
      | unequally_directed_lines(M_309,reverse_line(Y_310)) ),
    inference(resolution,[status(thm)],[c_1885,c_18]) ).

tff(c_1990,plain,
    ! [M_309,Y_310] :
      ( ~ equally_directed_lines(M_309,reverse_line(Y_310))
      | ~ equally_directed_opposite_lines(reverse_line(M_309),Y_310) ),
    inference(resolution,[status(thm)],[c_1941,c_14]) ).

tff(c_44069,plain,
    ! [Y_1060,N_1061] :
      ( ~ equally_directed_lines(Y_1060,reverse_line(reverse_line(N_1061)))
      | unequally_directed_opposite_lines(N_1061,Y_1060) ),
    inference(resolution,[status(thm)],[c_43947,c_1990]) ).

tff(c_106326,plain,
    unequally_directed_opposite_lines(line_connecting('#skF_3','#skF_2'),'#skF_1'),
    inference(resolution,[status(thm)],[c_105971,c_44069]) ).

tff(c_107422,plain,
    ~ unequally_directed_lines(line_connecting('#skF_3','#skF_2'),'#skF_1'),
    inference(resolution,[status(thm)],[c_106326,c_318]) ).

tff(c_357,plain,
    ! [A_160,B_161,L_162] :
      ( distinct_points(A_160,B_161)
      | ~ before_on_line(L_162,A_160,B_161) ),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_364,plain,
    distinct_points('#skF_3','#skF_2'),
    inference(resolution,[status(thm)],[c_134,c_357]) ).

tff(c_136,plain,
    before_on_line('#skF_1','#skF_2','#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_287]) ).

tff(c_5053,plain,
    ! [Y_427,N_428,X_429] :
      ( ~ equally_directed_lines(Y_427,N_428)
      | unequally_directed_lines(X_429,N_428)
      | equally_directed_lines(X_429,Y_427) ),
    inference(resolution,[status(thm)],[c_2430,c_14]) ).

tff(c_120682,plain,
    ! [X_1829,A_1830,B_1831,L_1832] :
      ( unequally_directed_lines(X_1829,line_connecting(A_1830,B_1831))
      | equally_directed_lines(X_1829,L_1832)
      | ~ before_on_line(L_1832,A_1830,B_1831) ),
    inference(resolution,[status(thm)],[c_48,c_5053]) ).

tff(c_121142,plain,
    ! [X_1838] :
      ( unequally_directed_lines(X_1838,line_connecting('#skF_2','#skF_3'))
      | equally_directed_lines(X_1838,'#skF_1') ),
    inference(resolution,[status(thm)],[c_136,c_120682]) ).

tff(c_121319,plain,
    equally_directed_lines(reverse_line(reverse_line(line_connecting('#skF_2','#skF_3'))),'#skF_1'),
    inference(resolution,[status(thm)],[c_121142,c_443]) ).

tff(c_13672,plain,
    ! [Y_647,N_648,L_646] :
      ( ~ equally_directed_lines(reverse_line(reverse_line(Y_647)),N_648)
      | unequally_directed_opposite_lines(L_646,Y_647)
      | unequally_directed_lines(L_646,N_648) ),
    inference(resolution,[status(thm)],[c_13431,c_14]) ).

tff(c_138371,plain,
    ! [L_1888] :
      ( unequally_directed_opposite_lines(L_1888,line_connecting('#skF_2','#skF_3'))
      | unequally_directed_lines(L_1888,'#skF_1') ),
    inference(resolution,[status(thm)],[c_121319,c_13672]) ).

tff(c_1158,plain,
    ! [A_238,B_239] :
      ( equally_directed_lines(line_connecting(A_238,B_239),reverse_line(line_connecting(B_239,A_238)))
      | ~ distinct_points(A_238,B_239) ),
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_298,plain,
    ! [X_152,Y_153] :
      ( ~ equally_directed_lines(X_152,reverse_line(Y_153))
      | ~ unequally_directed_opposite_lines(X_152,Y_153) ),
    inference(resolution,[status(thm)],[c_290,c_14]) ).

tff(c_1166,plain,
    ! [A_238,B_239] :
      ( ~ unequally_directed_opposite_lines(line_connecting(A_238,B_239),line_connecting(B_239,A_238))
      | ~ distinct_points(A_238,B_239) ),
    inference(resolution,[status(thm)],[c_1158,c_298]) ).

tff(c_138448,plain,
    ( ~ distinct_points('#skF_3','#skF_2')
    | unequally_directed_lines(line_connecting('#skF_3','#skF_2'),'#skF_1') ),
    inference(resolution,[status(thm)],[c_138371,c_1166]) ).

tff(c_138509,plain,
    unequally_directed_lines(line_connecting('#skF_3','#skF_2'),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_138448]) ).

tff(c_138511,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_107422,c_138509]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem  : GEO255+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n031.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 : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug  4 01:07:45 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 33.01/22.04  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.01/22.05  
% 33.01/22.05  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 33.14/22.09  
% 33.14/22.09  Inference rules
% 33.14/22.09  ----------------------
% 33.14/22.09  #Ref     : 0
% 33.14/22.09  #Sup     : 28651
% 33.14/22.09  #Fact    : 1548
% 33.14/22.09  #Define  : 0
% 33.14/22.09  #Split   : 4
% 33.14/22.09  #Chain   : 0
% 33.14/22.09  #Close   : 0
% 33.14/22.09  
% 33.14/22.09  Ordering : KBO
% 33.14/22.09  
% 33.14/22.09  Simplification rules
% 33.14/22.09  ----------------------
% 33.14/22.09  #Subsume      : 5377
% 33.14/22.09  #Demod        : 4096
% 33.14/22.09  #Tautology    : 4113
% 33.14/22.09  #SimpNegUnit  : 493
% 33.14/22.09  #BackRed      : 2
% 33.14/22.09  
% 33.14/22.09  #Partial instantiations: 0
% 33.14/22.09  #Strategies tried      : 1
% 33.14/22.09  
% 33.14/22.09  Timing (in seconds)
% 33.14/22.09  ----------------------
% 33.14/22.10  Preprocessing        : 0.60
% 33.14/22.10  Parsing              : 0.32
% 33.14/22.10  CNF conversion       : 0.05
% 33.14/22.10  Main loop            : 20.37
% 33.14/22.10  Inferencing          : 2.66
% 33.14/22.10  Reduction            : 6.63
% 33.14/22.10  Demodulation         : 4.27
% 33.14/22.10  BG Simplification    : 0.15
% 33.14/22.10  Subsumption          : 9.53
% 33.14/22.10  Abstraction          : 0.19
% 33.14/22.10  MUC search           : 0.00
% 33.14/22.10  Cooper               : 0.00
% 33.14/22.10  Total                : 21.04
% 33.14/22.10  Index Insertion      : 0.00
% 33.14/22.10  Index Deletion       : 0.00
% 33.14/22.10  Index Matching       : 0.00
% 33.14/22.10  BG Taut test         : 0.00
%------------------------------------------------------------------------------