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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:03:06 AM UTC 2026

% Result   : Theorem 45.51s 25.03s
% Output   : CNFRefutation 45.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :  141 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  130 (  59   ~;  56   |;   5   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-9 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :  179 ( 177   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ in_box3 > box2_conflict > box2_compatible > in_box2 > axis_subsumes > axis_conflict > axis_compatible > in_ropen > in_open > in_lopen > in_closed > less > leq > val > is_verdict > box_verdict > #nlpp > v800 > v600 > v400 > v0 > unknown > conflict > compatible > #skF_2 > #skF_3 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(is_verdict,type,
    is_verdict: $i > $o ).

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

tff(v0,type,
    v0: $i ).

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

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

tff(unknown,type,
    unknown: $i ).

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

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

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

tff(compatible,type,
    compatible: $i ).

tff(in_box3,type,
    in_box3: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

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

tff(box2_conflict,type,
    box2_conflict: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

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

tff(v400,type,
    v400: $i ).

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

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

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

tff(box2_compatible,type,
    box2_compatible: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(in_box2,type,
    in_box2: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(v600,type,
    v600: $i ).

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

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

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

tff(v800,type,
    v800: $i ).

tff(conflict,type,
    conflict: $i ).

tff(f_390,axiom,
    less(v400,v600),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v400_v600) ).

tff(f_94,axiom,
    ! [X,Y] :
      ( less(X,Y)
     => leq(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).

tff(f_392,axiom,
    less(v600,v800),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v800) ).

tff(f_357,axiom,
    ! [X,A,B] :
      ( in_closed(X,A,B)
    <=> ( leq(A,X)
        & leq(X,B) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_closed) ).

tff(f_389,axiom,
    less(v0,v600),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v600) ).

tff(f_81,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> ( less(X,Y)
        | ( X = Y ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_def) ).

tff(f_200,axiom,
    ! [I1lo,I1hi,I2lo,I2hi] :
      ( axis_subsumes(I1lo,I1hi,I2lo,I2hi)
    <=> ! [X] :
          ( in_closed(X,I1lo,I1hi)
         => in_closed(X,I2lo,I2hi) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_subsumes_def) ).

tff(f_113,axiom,
    ! [X,Y,Z] :
      ( ( leq(X,Y)
        & leq(Y,Z) )
     => leq(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_trans) ).

tff(f_348,axiom,
    ! [X,V] :
      ( in_closed(X,V,V)
    <=> ( X = V ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_point) ).

tff(f_193,axiom,
    ! [I1lo,I1hi,I2lo,I2hi] :
      ( axis_compatible(I1lo,I1hi,I2lo,I2hi)
    <=> ? [X] :
          ( in_closed(X,I1lo,I1hi)
          & in_closed(X,I2lo,I2hi) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_compatible_def) ).

tff(f_186,axiom,
    ! [I1lo,I1hi,I2lo,I2hi] :
      ( axis_conflict(I1lo,I1hi,I2lo,I2hi)
    <=> ~ ? [X] :
            ( in_closed(X,I1lo,I1hi)
            & in_closed(X,I2lo,I2hi) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_conflict_def) ).

tff(f_324,axiom,
    ! [A1,B1,A2,B2,C1,D1,C2,D2] :
      ( box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2)
    <=> ( axis_compatible(A1,B1,C1,D1)
        & axis_compatible(A2,B2,C2,D2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',box2_overlap) ).

tff(f_411,negated_conjecture,
    ~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl624) ).

tff(c_158,plain,
    less(v400,v600),
    inference(cnfTransformation,[status(thm)],[f_390]) ).

tff(c_219,plain,
    ! [X_115,Y_116] :
      ( leq(X_115,Y_116)
      | ~ less(X_115,Y_116) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_237,plain,
    leq(v400,v600),
    inference(resolution,[status(thm)],[c_158,c_219]) ).

tff(c_162,plain,
    less(v600,v800),
    inference(cnfTransformation,[status(thm)],[f_392]) ).

tff(c_239,plain,
    leq(v600,v800),
    inference(resolution,[status(thm)],[c_162,c_219]) ).

tff(c_122,plain,
    ! [X_97,A_98,B_99] :
      ( in_closed(X_97,A_98,B_99)
      | ~ leq(X_97,B_99)
      | ~ leq(A_98,X_97) ),
    inference(cnfTransformation,[status(thm)],[f_357]) ).

tff(c_156,plain,
    less(v0,v600),
    inference(cnfTransformation,[status(thm)],[f_389]) ).

tff(c_238,plain,
    leq(v0,v600),
    inference(resolution,[status(thm)],[c_156,c_219]) ).

tff(c_10,plain,
    ! [Y_8] : leq(Y_8,Y_8),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_1652,plain,
    ! [I1lo_248,I1hi_249,I2lo_250,I2hi_251] :
      ( in_closed('#skF_3'(I1lo_248,I1hi_249,I2lo_250,I2hi_251),I1lo_248,I1hi_249)
      | axis_subsumes(I1lo_248,I1hi_249,I2lo_250,I2hi_251) ),
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_126,plain,
    ! [A_98,X_97,B_99] :
      ( leq(A_98,X_97)
      | ~ in_closed(X_97,A_98,B_99) ),
    inference(cnfTransformation,[status(thm)],[f_357]) ).

tff(c_15378,plain,
    ! [I1lo_580,I1hi_581,I2lo_582,I2hi_583] :
      ( leq(I1lo_580,'#skF_3'(I1lo_580,I1hi_581,I2lo_582,I2hi_583))
      | axis_subsumes(I1lo_580,I1hi_581,I2lo_582,I2hi_583) ),
    inference(resolution,[status(thm)],[c_1652,c_126]) ).

tff(c_22,plain,
    ! [X_19,Z_21,Y_20] :
      ( leq(X_19,Z_21)
      | ~ leq(Y_20,Z_21)
      | ~ leq(X_19,Y_20) ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_69935,plain,
    ! [I1hi_12367,I2lo_12363,I2hi_12364,X_12365,I1lo_12366] :
      ( leq(X_12365,'#skF_3'(I1lo_12366,I1hi_12367,I2lo_12363,I2hi_12364))
      | ~ leq(X_12365,I1lo_12366)
      | axis_subsumes(I1lo_12366,I1hi_12367,I2lo_12363,I2hi_12364) ),
    inference(resolution,[status(thm)],[c_15378,c_22]) ).

tff(c_124,plain,
    ! [X_97,B_99,A_98] :
      ( leq(X_97,B_99)
      | ~ in_closed(X_97,A_98,B_99) ),
    inference(cnfTransformation,[status(thm)],[f_357]) ).

tff(c_1678,plain,
    ! [I1lo_248,I1hi_249,I2lo_250,I2hi_251] :
      ( leq('#skF_3'(I1lo_248,I1hi_249,I2lo_250,I2hi_251),I1hi_249)
      | axis_subsumes(I1lo_248,I1hi_249,I2lo_250,I2hi_251) ),
    inference(resolution,[status(thm)],[c_1652,c_124]) ).

tff(c_1134,plain,
    ! [I1lo_218,I1hi_219,I2lo_220,I2hi_221] :
      ( ~ in_closed('#skF_3'(I1lo_218,I1hi_219,I2lo_220,I2hi_221),I2lo_220,I2hi_221)
      | axis_subsumes(I1lo_218,I1hi_219,I2lo_220,I2hi_221) ),
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_51707,plain,
    ! [I1lo_12075,I1hi_12076,A_12077,B_12078] :
      ( axis_subsumes(I1lo_12075,I1hi_12076,A_12077,B_12078)
      | ~ leq('#skF_3'(I1lo_12075,I1hi_12076,A_12077,B_12078),B_12078)
      | ~ leq(A_12077,'#skF_3'(I1lo_12075,I1hi_12076,A_12077,B_12078)) ),
    inference(resolution,[status(thm)],[c_122,c_1134]) ).

tff(c_51825,plain,
    ! [I2lo_250,I1lo_248,I1hi_249] :
      ( ~ leq(I2lo_250,'#skF_3'(I1lo_248,I1hi_249,I2lo_250,I1hi_249))
      | axis_subsumes(I1lo_248,I1hi_249,I2lo_250,I1hi_249) ),
    inference(resolution,[status(thm)],[c_1678,c_51707]) ).

tff(c_70131,plain,
    ! [I2lo_12368,I1lo_12369,I2hi_12370] :
      ( ~ leq(I2lo_12368,I1lo_12369)
      | axis_subsumes(I1lo_12369,I2hi_12370,I2lo_12368,I2hi_12370) ),
    inference(resolution,[status(thm)],[c_69935,c_51825]) ).

tff(c_120,plain,
    ! [X_95] : in_closed(X_95,X_95,X_95),
    inference(cnfTransformation,[status(thm)],[f_348]) ).

tff(c_1108,plain,
    ! [I2hi_214,I1lo_213,X_215,I1hi_216,I2lo_212] :
      ( in_closed(X_215,I2lo_212,I2hi_214)
      | ~ in_closed(X_215,I1lo_213,I1hi_216)
      | ~ axis_subsumes(I1lo_213,I1hi_216,I2lo_212,I2hi_214) ),
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_1117,plain,
    ! [X_95,I2lo_212,I2hi_214] :
      ( in_closed(X_95,I2lo_212,I2hi_214)
      | ~ axis_subsumes(X_95,X_95,I2lo_212,I2hi_214) ),
    inference(resolution,[status(thm)],[c_120,c_1108]) ).

tff(c_70152,plain,
    ! [I2hi_12371,I2lo_12372] :
      ( in_closed(I2hi_12371,I2lo_12372,I2hi_12371)
      | ~ leq(I2lo_12372,I2hi_12371) ),
    inference(resolution,[status(thm)],[c_70131,c_1117]) ).

tff(c_1507,plain,
    ! [X_243,I1lo_242,I2lo_245,I2hi_244,I1hi_241] :
      ( axis_compatible(I1lo_242,I1hi_241,I2lo_245,I2hi_244)
      | ~ in_closed(X_243,I2lo_245,I2hi_244)
      | ~ in_closed(X_243,I1lo_242,I1hi_241) ),
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_1519,plain,
    ! [I1lo_242,I1hi_241,X_95] :
      ( axis_compatible(I1lo_242,I1hi_241,X_95,X_95)
      | ~ in_closed(X_95,I1lo_242,I1hi_241) ),
    inference(resolution,[status(thm)],[c_120,c_1507]) ).

tff(c_1068,plain,
    ! [I1lo_206,I1hi_207,I2lo_208,I2hi_209] :
      ( in_closed('#skF_1'(I1lo_206,I1hi_207,I2lo_208,I2hi_209),I1lo_206,I1hi_207)
      | axis_conflict(I1lo_206,I1hi_207,I2lo_208,I2hi_209) ),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_118,plain,
    ! [X_95,V_96] :
      ( ( X_95 = V_96 )
      | ~ in_closed(X_95,V_96,V_96) ),
    inference(cnfTransformation,[status(thm)],[f_348]) ).

tff(c_1081,plain,
    ! [I1hi_207,I2lo_208,I2hi_209] :
      ( ( '#skF_1'(I1hi_207,I1hi_207,I2lo_208,I2hi_209) = I1hi_207 )
      | axis_conflict(I1hi_207,I1hi_207,I2lo_208,I2hi_209) ),
    inference(resolution,[status(thm)],[c_1068,c_118]) ).

tff(c_56,plain,
    ! [I1lo_41,I1hi_42,I2lo_43,I2hi_44] :
      ( in_closed('#skF_2'(I1lo_41,I1hi_42,I2lo_43,I2hi_44),I2lo_43,I2hi_44)
      | ~ axis_compatible(I1lo_41,I1hi_42,I2lo_43,I2hi_44) ),
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_58,plain,
    ! [I1lo_41,I1hi_42,I2lo_43,I2hi_44] :
      ( in_closed('#skF_2'(I1lo_41,I1hi_42,I2lo_43,I2hi_44),I1lo_41,I1hi_42)
      | ~ axis_compatible(I1lo_41,I1hi_42,I2lo_43,I2hi_44) ),
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_1382,plain,
    ! [X_232,I1lo_235,I1hi_233,I2hi_236,I2lo_234] :
      ( ~ in_closed(X_232,I2lo_234,I2hi_236)
      | ~ in_closed(X_232,I1lo_235,I1hi_233)
      | ~ axis_conflict(I1lo_235,I1hi_233,I2lo_234,I2hi_236) ),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_30479,plain,
    ! [I1lo_761,I2hi_762,I1hi_764,I1hi_759,I2lo_763,I1lo_760] :
      ( ~ in_closed('#skF_2'(I1lo_760,I1hi_759,I2lo_763,I2hi_762),I1lo_761,I1hi_764)
      | ~ axis_conflict(I1lo_761,I1hi_764,I1lo_760,I1hi_759)
      | ~ axis_compatible(I1lo_760,I1hi_759,I2lo_763,I2hi_762) ),
    inference(resolution,[status(thm)],[c_58,c_1382]) ).

tff(c_30507,plain,
    ! [I2lo_765,I2hi_766,I1lo_767,I1hi_768] :
      ( ~ axis_conflict(I2lo_765,I2hi_766,I1lo_767,I1hi_768)
      | ~ axis_compatible(I1lo_767,I1hi_768,I2lo_765,I2hi_766) ),
    inference(resolution,[status(thm)],[c_56,c_30479]) ).

tff(c_30926,plain,
    ! [I2lo_780,I2hi_781,I1hi_782] :
      ( ~ axis_compatible(I2lo_780,I2hi_781,I1hi_782,I1hi_782)
      | ( '#skF_1'(I1hi_782,I1hi_782,I2lo_780,I2hi_781) = I1hi_782 ) ),
    inference(resolution,[status(thm)],[c_1081,c_30507]) ).

tff(c_30935,plain,
    ! [X_95,I1lo_242,I1hi_241] :
      ( ( '#skF_1'(X_95,X_95,I1lo_242,I1hi_241) = X_95 )
      | ~ in_closed(X_95,I1lo_242,I1hi_241) ),
    inference(resolution,[status(thm)],[c_1519,c_30926]) ).

tff(c_72811,plain,
    ! [I2hi_12474,I2lo_12475] :
      ( ( '#skF_1'(I2hi_12474,I2hi_12474,I2lo_12475,I2hi_12474) = I2hi_12474 )
      | ~ leq(I2lo_12475,I2hi_12474) ),
    inference(resolution,[status(thm)],[c_70152,c_30935]) ).

tff(c_72996,plain,
    '#skF_1'(v600,v600,v0,v600) = v600,
    inference(resolution,[status(thm)],[c_238,c_72811]) ).

tff(c_50,plain,
    ! [I1lo_34,I1hi_35,I2lo_36,I2hi_37] :
      ( in_closed('#skF_1'(I1lo_34,I1hi_35,I2lo_36,I2hi_37),I2lo_36,I2hi_37)
      | axis_conflict(I1lo_34,I1hi_35,I2lo_36,I2hi_37) ),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_73534,plain,
    ( in_closed(v600,v0,v600)
    | axis_conflict(v600,v600,v0,v600) ),
    inference(superposition,[status(thm),theory(equality)],[c_72996,c_50]) ).

tff(c_90111,plain,
    axis_conflict(v600,v600,v0,v600),
    inference(splitLeft,[status(thm)],[c_73534]) ).

tff(c_27270,plain,
    ! [A_722,I1lo_719,X_721,I1hi_723,B_720] :
      ( ~ in_closed(X_721,I1lo_719,I1hi_723)
      | ~ axis_conflict(I1lo_719,I1hi_723,A_722,B_720)
      | ~ leq(X_721,B_720)
      | ~ leq(A_722,X_721) ),
    inference(resolution,[status(thm)],[c_122,c_1382]) ).

tff(c_27294,plain,
    ! [X_95,A_722,B_720] :
      ( ~ axis_conflict(X_95,X_95,A_722,B_720)
      | ~ leq(X_95,B_720)
      | ~ leq(A_722,X_95) ),
    inference(resolution,[status(thm)],[c_120,c_27270]) ).

tff(c_90130,plain,
    ( ~ leq(v600,v600)
    | ~ leq(v0,v600) ),
    inference(resolution,[status(thm)],[c_90111,c_27294]) ).

tff(c_90141,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_238,c_10,c_90130]) ).

tff(c_90142,plain,
    in_closed(v600,v0,v600),
    inference(splitRight,[status(thm)],[c_73534]) ).

tff(c_54,plain,
    ! [I2hi_44,I1hi_42,X_47,I2lo_43,I1lo_41] :
      ( axis_compatible(I1lo_41,I1hi_42,I2lo_43,I2hi_44)
      | ~ in_closed(X_47,I2lo_43,I2hi_44)
      | ~ in_closed(X_47,I1lo_41,I1hi_42) ),
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_114368,plain,
    ! [I1lo_12850,I1hi_12851] :
      ( axis_compatible(I1lo_12850,I1hi_12851,v0,v600)
      | ~ in_closed(v600,I1lo_12850,I1hi_12851) ),
    inference(resolution,[status(thm)],[c_90142,c_54]) ).

tff(c_50866,plain,
    ! [I1hi_11795,I2hi_11797,I2lo_11799,I1lo_11796,I1lo_11800,I1hi_11798] :
      ( axis_compatible(I1lo_11800,I1hi_11798,I1lo_11796,I1hi_11795)
      | ~ in_closed('#skF_2'(I1lo_11796,I1hi_11795,I2lo_11799,I2hi_11797),I1lo_11800,I1hi_11798)
      | ~ axis_compatible(I1lo_11796,I1hi_11795,I2lo_11799,I2hi_11797) ),
    inference(resolution,[status(thm)],[c_58,c_1507]) ).

tff(c_50900,plain,
    ! [I2lo_43,I2hi_44,I1lo_41,I1hi_42] :
      ( axis_compatible(I2lo_43,I2hi_44,I1lo_41,I1hi_42)
      | ~ axis_compatible(I1lo_41,I1hi_42,I2lo_43,I2hi_44) ),
    inference(resolution,[status(thm)],[c_56,c_50866]) ).

tff(c_122749,plain,
    ! [I1lo_12966,I1hi_12967] :
      ( axis_compatible(v0,v600,I1lo_12966,I1hi_12967)
      | ~ in_closed(v600,I1lo_12966,I1hi_12967) ),
    inference(resolution,[status(thm)],[c_114368,c_50900]) ).

tff(c_4701,plain,
    ! [C2_394,A2_397,D1_396,A1_399,B1_398,B2_393,C1_400,D2_395] :
      ( box2_compatible(A1_399,B1_398,A2_397,B2_393,C1_400,D1_396,C2_394,D2_395)
      | ~ axis_compatible(A2_397,B2_393,C2_394,D2_395)
      | ~ axis_compatible(A1_399,B1_398,C1_400,D1_396) ),
    inference(cnfTransformation,[status(thm)],[f_324]) ).

tff(c_176,plain,
    ~ box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800),
    inference(cnfTransformation,[status(thm)],[f_411]) ).

tff(c_4713,plain,
    ~ axis_compatible(v0,v600,v400,v800),
    inference(resolution,[status(thm)],[c_4701,c_176]) ).

tff(c_122825,plain,
    ~ in_closed(v600,v400,v800),
    inference(resolution,[status(thm)],[c_122749,c_4713]) ).

tff(c_122831,plain,
    ( ~ leq(v600,v800)
    | ~ leq(v400,v600) ),
    inference(resolution,[status(thm)],[c_122,c_122825]) ).

tff(c_122836,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_237,c_239,c_122831]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.36  % Computer : n006.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep  7 14:23:46 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 45.51/25.03  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.51/25.04  
% 45.51/25.04  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------