TSTP Solution File: GEO083+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO083+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n011.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 10:38:08 EDT 2023

% Result   : Theorem 211.91s 181.89s
% Output   : CNFRefutation 211.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   95 (  19 unt;  27 typ;   0 def)
%            Number of atoms       :  154 (  29 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  142 (  56   ~;  76   |;   3   &)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  23   >;  22   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   4 con; 0-3 aty)
%            Number of variables   :  144 (; 139   !;   5   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ meet > part_of > inner_point > incident_c > end_point > open > closed > sum > #nlpp > #skF_9 > #skF_7 > #skF_11 > #skF_18 > #skF_17 > #skF_6 > #skF_8 > #skF_19 > #skF_13 > #skF_16 > #skF_14 > #skF_12 > #skF_10 > #skF_2 > #skF_3 > #skF_1 > #skF_5 > #skF_15 > #skF_4

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_9',type,
    '#skF_9': $i > $i ).

tff('#skF_7',type,
    '#skF_7': $i > $i ).

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

tff('#skF_11',type,
    '#skF_11': ( $i * $i ) > $i ).

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

tff('#skF_18',type,
    '#skF_18': $i ).

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

tff('#skF_17',type,
    '#skF_17': $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': $i > $i ).

tff('#skF_19',type,
    '#skF_19': $i ).

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

tff('#skF_13',type,
    '#skF_13': ( $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i ) > $i ).

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

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

tff('#skF_10',type,
    '#skF_10': ( $i * $i ) > $i ).

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

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

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

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

tff('#skF_5',type,
    '#skF_5': ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

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

tff(f_213,negated_conjecture,
    ~ ! [C1,C2,C3,P] :
        ( ( part_of(C2,C3)
          & meet(P,C1,C2)
          & meet(P,C1,C3) )
       => part_of(sum(C1,C2),sum(C1,C3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1) ).

tff(f_195,axiom,
    ! [C1,C2] :
      ( ? [P] : meet(P,C1,C2)
     => ? [C] : ( C = sum(C1,C2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c8) ).

tff(f_66,axiom,
    ! [C,C1,C2] :
      ( ( C = sum(C1,C2) )
    <=> ! [Q] :
          ( incident_c(Q,C)
        <=> ( incident_c(Q,C1)
            | incident_c(Q,C2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).

tff(f_151,axiom,
    ! [C] :
    ? [P] : inner_point(P,C),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c3) ).

tff(f_158,axiom,
    ! [C,P] :
      ( inner_point(P,C)
     => ? [C1,C2] :
          ( meet(P,C1,C2)
          & ( C = sum(C1,C2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c4) ).

tff(f_57,axiom,
    ! [C,C1] :
      ( part_of(C1,C)
    <=> ! [P] :
          ( incident_c(P,C1)
         => incident_c(P,C) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).

tff(c_102,plain,
    meet('#skF_19','#skF_16','#skF_17'),
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_384,plain,
    ! [C1_149,C2_150,P_151] :
      ( ( sum(C1_149,C2_150) = '#skF_13'(C1_149,C2_150) )
      | ~ meet(P_151,C1_149,C2_150) ),
    inference(cnfTransformation,[status(thm)],[f_195]) ).

tff(c_392,plain,
    sum('#skF_16','#skF_17') = '#skF_13'('#skF_16','#skF_17'),
    inference(resolution,[status(thm)],[c_102,c_384]) ).

tff(c_100,plain,
    meet('#skF_19','#skF_16','#skF_18'),
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_391,plain,
    sum('#skF_16','#skF_18') = '#skF_13'('#skF_16','#skF_18'),
    inference(resolution,[status(thm)],[c_100,c_384]) ).

tff(c_98,plain,
    ~ part_of(sum('#skF_16','#skF_17'),sum('#skF_16','#skF_18')),
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_393,plain,
    ~ part_of(sum('#skF_16','#skF_17'),'#skF_13'('#skF_16','#skF_18')),
    inference(demodulation,[status(thm),theory(equality)],[c_391,c_98]) ).

tff(c_414,plain,
    ~ part_of('#skF_13'('#skF_16','#skF_17'),'#skF_13'('#skF_16','#skF_18')),
    inference(demodulation,[status(thm),theory(equality)],[c_392,c_393]) ).

tff(c_4988,plain,
    ! [C_481,C1_482,C2_483] :
      ( incident_c('#skF_2'(C_481,C1_482,C2_483),C2_483)
      | incident_c('#skF_2'(C_481,C1_482,C2_483),C1_482)
      | incident_c('#skF_3'(C_481,C1_482,C2_483),C_481)
      | ( sum(C1_482,C2_483) = C_481 ) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_22,plain,
    ! [C_6,C1_7,C2_8] :
      ( ~ incident_c('#skF_2'(C_6,C1_7,C2_8),C_6)
      | incident_c('#skF_3'(C_6,C1_7,C2_8),C_6)
      | ( sum(C1_7,C2_8) = C_6 ) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_133353,plain,
    ! [C1_56076,C2_56077] :
      ( incident_c('#skF_2'(C1_56076,C1_56076,C2_56077),C2_56077)
      | incident_c('#skF_3'(C1_56076,C1_56076,C2_56077),C1_56076)
      | ( sum(C1_56076,C2_56077) = C1_56076 ) ),
    inference(resolution,[status(thm)],[c_4988,c_22]) ).

tff(c_3904,plain,
    ! [C_410,C1_411,C2_412] :
      ( incident_c('#skF_2'(C_410,C1_411,C2_412),C2_412)
      | incident_c('#skF_2'(C_410,C1_411,C2_412),C1_411)
      | ~ incident_c('#skF_3'(C_410,C1_411,C2_412),C1_411)
      | ( sum(C1_411,C2_412) = C_410 ) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_18,plain,
    ! [C_6,C1_7,C2_8] :
      ( ~ incident_c('#skF_2'(C_6,C1_7,C2_8),C_6)
      | ~ incident_c('#skF_3'(C_6,C1_7,C2_8),C1_7)
      | ( sum(C1_7,C2_8) = C_6 ) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_3999,plain,
    ! [C1_411,C2_412] :
      ( incident_c('#skF_2'(C1_411,C1_411,C2_412),C2_412)
      | ~ incident_c('#skF_3'(C1_411,C1_411,C2_412),C1_411)
      | ( sum(C1_411,C2_412) = C1_411 ) ),
    inference(resolution,[status(thm)],[c_3904,c_18]) ).

tff(c_133924,plain,
    ! [C1_56076,C2_56077] :
      ( incident_c('#skF_2'(C1_56076,C1_56076,C2_56077),C2_56077)
      | ( sum(C1_56076,C2_56077) = C1_56076 ) ),
    inference(resolution,[status(thm)],[c_133353,c_3999]) ).

tff(c_74,plain,
    ! [C_44] : inner_point('#skF_9'(C_44),C_44),
    inference(cnfTransformation,[status(thm)],[f_151]) ).

tff(c_530,plain,
    ! [C_173,P_174] :
      ( ( sum('#skF_10'(C_173,P_174),'#skF_11'(C_173,P_174)) = C_173 )
      | ~ inner_point(P_174,C_173) ),
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_8,plain,
    ! [Q_11,C2_8,C1_7] :
      ( incident_c(Q_11,C2_8)
      | incident_c(Q_11,C1_7)
      | ~ incident_c(Q_11,sum(C1_7,C2_8)) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_536,plain,
    ! [Q_11,C_173,P_174] :
      ( incident_c(Q_11,'#skF_11'(C_173,P_174))
      | incident_c(Q_11,'#skF_10'(C_173,P_174))
      | ~ incident_c(Q_11,C_173)
      | ~ inner_point(P_174,C_173) ),
    inference(superposition,[status(thm),theory(equality)],[c_530,c_8]) ).

tff(c_104,plain,
    part_of('#skF_17','#skF_18'),
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_76,plain,
    ! [C_46,P_47] :
      ( ( sum('#skF_10'(C_46,P_47),'#skF_11'(C_46,P_47)) = C_46 )
      | ~ inner_point(P_47,C_46) ),
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_10,plain,
    ! [Q_11,C2_8,C1_7] :
      ( ~ incident_c(Q_11,C2_8)
      | incident_c(Q_11,sum(C1_7,C2_8)) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_297,plain,
    ! [P_130,C_131,C1_132] :
      ( incident_c(P_130,C_131)
      | ~ incident_c(P_130,C1_132)
      | ~ part_of(C1_132,C_131) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_837,plain,
    ! [Q_209,C_210,C1_211,C2_212] :
      ( incident_c(Q_209,C_210)
      | ~ part_of(sum(C1_211,C2_212),C_210)
      | ~ incident_c(Q_209,C2_212) ),
    inference(resolution,[status(thm)],[c_10,c_297]) ).

tff(c_722217,plain,
    ! [Q_273710,C_273711,C_273712,P_273713] :
      ( incident_c(Q_273710,C_273711)
      | ~ part_of(C_273712,C_273711)
      | ~ incident_c(Q_273710,'#skF_11'(C_273712,P_273713))
      | ~ inner_point(P_273713,C_273712) ),
    inference(superposition,[status(thm),theory(equality)],[c_76,c_837]) ).

tff(c_722715,plain,
    ! [Q_274488,P_274489] :
      ( incident_c(Q_274488,'#skF_18')
      | ~ incident_c(Q_274488,'#skF_11'('#skF_17',P_274489))
      | ~ inner_point(P_274489,'#skF_17') ),
    inference(resolution,[status(thm)],[c_104,c_722217]) ).

tff(c_1284866,plain,
    ! [Q_422572,P_422573] :
      ( incident_c(Q_422572,'#skF_18')
      | incident_c(Q_422572,'#skF_10'('#skF_17',P_422573))
      | ~ incident_c(Q_422572,'#skF_17')
      | ~ inner_point(P_422573,'#skF_17') ),
    inference(resolution,[status(thm)],[c_536,c_722715]) ).

tff(c_12,plain,
    ! [Q_11,C1_7,C2_8] :
      ( ~ incident_c(Q_11,C1_7)
      | incident_c(Q_11,sum(C1_7,C2_8)) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_797,plain,
    ! [Q_202,C_203,C1_204,C2_205] :
      ( incident_c(Q_202,C_203)
      | ~ part_of(sum(C1_204,C2_205),C_203)
      | ~ incident_c(Q_202,C1_204) ),
    inference(resolution,[status(thm)],[c_12,c_297]) ).

tff(c_705973,plain,
    ! [Q_269830,C_269831,C_269832,P_269833] :
      ( incident_c(Q_269830,C_269831)
      | ~ part_of(C_269832,C_269831)
      | ~ incident_c(Q_269830,'#skF_10'(C_269832,P_269833))
      | ~ inner_point(P_269833,C_269832) ),
    inference(superposition,[status(thm),theory(equality)],[c_76,c_797]) ).

tff(c_706144,plain,
    ! [Q_269830,P_269833] :
      ( incident_c(Q_269830,'#skF_18')
      | ~ incident_c(Q_269830,'#skF_10'('#skF_17',P_269833))
      | ~ inner_point(P_269833,'#skF_17') ),
    inference(resolution,[status(thm)],[c_104,c_705973]) ).

tff(c_1285433,plain,
    ! [Q_422572,P_422573] :
      ( incident_c(Q_422572,'#skF_18')
      | ~ incident_c(Q_422572,'#skF_17')
      | ~ inner_point(P_422573,'#skF_17') ),
    inference(resolution,[status(thm)],[c_1284866,c_706144]) ).

tff(c_1285519,plain,
    ! [P_422830] : ~ inner_point(P_422830,'#skF_17'),
    inference(splitLeft,[status(thm)],[c_1285433]) ).

tff(c_1285549,plain,
    $false,
    inference(resolution,[status(thm)],[c_74,c_1285519]) ).

tff(c_1285550,plain,
    ! [Q_422572] :
      ( incident_c(Q_422572,'#skF_18')
      | ~ incident_c(Q_422572,'#skF_17') ),
    inference(splitRight,[status(thm)],[c_1285433]) ).

tff(c_92084,plain,
    ! [C2_45783,C1_45784] :
      ( incident_c('#skF_2'(C2_45783,C1_45784,C2_45783),C1_45784)
      | incident_c('#skF_3'(C2_45783,C1_45784,C2_45783),C2_45783)
      | ( sum(C1_45784,C2_45783) = C2_45783 ) ),
    inference(resolution,[status(thm)],[c_4988,c_22]) ).

tff(c_94898,plain,
    ! [C1_46173] :
      ( incident_c('#skF_3'(C1_46173,C1_46173,C1_46173),C1_46173)
      | ( sum(C1_46173,C1_46173) = C1_46173 ) ),
    inference(resolution,[status(thm)],[c_92084,c_22]) ).

tff(c_77520,plain,
    ! [C2_41604,C1_41605] :
      ( incident_c('#skF_2'(C2_41604,C1_41605,C2_41604),C1_41605)
      | ~ incident_c('#skF_3'(C2_41604,C1_41605,C2_41604),C1_41605)
      | ( sum(C1_41605,C2_41604) = C2_41604 ) ),
    inference(resolution,[status(thm)],[c_3904,c_18]) ).

tff(c_77842,plain,
    ! [C1_41605] :
      ( ~ incident_c('#skF_3'(C1_41605,C1_41605,C1_41605),C1_41605)
      | ( sum(C1_41605,C1_41605) = C1_41605 ) ),
    inference(resolution,[status(thm)],[c_77520,c_18]) ).

tff(c_95215,plain,
    ! [C1_46173] : ( sum(C1_46173,C1_46173) = C1_46173 ),
    inference(resolution,[status(thm)],[c_94898,c_77842]) ).

tff(c_3020,plain,
    ! [C_356,C1_357,C2_358] :
      ( ~ incident_c('#skF_2'(C_356,C1_357,C2_358),C_356)
      | incident_c('#skF_3'(C_356,C1_357,C2_358),C_356)
      | ( sum(C1_357,C2_358) = C_356 ) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_347576,plain,
    ! [C1_168987,C2_168988,C1_168989,C2_168990] :
      ( incident_c('#skF_3'(sum(C1_168987,C2_168988),C1_168989,C2_168990),sum(C1_168987,C2_168988))
      | ( sum(C1_168989,C2_168990) = sum(C1_168987,C2_168988) )
      | ~ incident_c('#skF_2'(sum(C1_168987,C2_168988),C1_168989,C2_168990),C1_168987) ),
    inference(resolution,[status(thm)],[c_12,c_3020]) ).

tff(c_3309,plain,
    ! [C_375,C1_376,C2_377] :
      ( ~ incident_c('#skF_2'(C_375,C1_376,C2_377),C_375)
      | ~ incident_c('#skF_3'(C_375,C1_376,C2_377),C1_376)
      | ( sum(C1_376,C2_377) = C_375 ) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_3355,plain,
    ! [C1_7,C2_8,C1_376,C2_377] :
      ( ~ incident_c('#skF_3'(sum(C1_7,C2_8),C1_376,C2_377),C1_376)
      | ( sum(C1_7,C2_8) = sum(C1_376,C2_377) )
      | ~ incident_c('#skF_2'(sum(C1_7,C2_8),C1_376,C2_377),C1_7) ),
    inference(resolution,[status(thm)],[c_12,c_3309]) ).

tff(c_1289379,plain,
    ! [C1_426168,C2_426169,C2_426170] :
      ( ( sum(sum(C1_426168,C2_426169),C2_426170) = sum(C1_426168,C2_426169) )
      | ~ incident_c('#skF_2'(sum(C1_426168,C2_426169),sum(C1_426168,C2_426169),C2_426170),C1_426168) ),
    inference(resolution,[status(thm)],[c_347576,c_3355]) ).

tff(c_1290223,plain,
    ! [C1_46173,C2_426170] :
      ( ( sum(sum(C1_46173,C1_46173),C2_426170) = sum(C1_46173,C1_46173) )
      | ~ incident_c('#skF_2'(C1_46173,sum(C1_46173,C1_46173),C2_426170),C1_46173) ),
    inference(superposition,[status(thm),theory(equality)],[c_95215,c_1289379]) ).

tff(c_1436225,plain,
    ! [C1_481420,C2_481421] :
      ( ( sum(C1_481420,C2_481421) = C1_481420 )
      | ~ incident_c('#skF_2'(C1_481420,C1_481420,C2_481421),C1_481420) ),
    inference(demodulation,[status(thm),theory(equality)],[c_95215,c_95215,c_95215,c_1290223]) ).

tff(c_1498278,plain,
    ! [C2_486848] :
      ( ( sum('#skF_18',C2_486848) = '#skF_18' )
      | ~ incident_c('#skF_2'('#skF_18','#skF_18',C2_486848),'#skF_17') ),
    inference(resolution,[status(thm)],[c_1285550,c_1436225]) ).

tff(c_1498604,plain,
    sum('#skF_18','#skF_17') = '#skF_18',
    inference(resolution,[status(thm)],[c_133924,c_1498278]) ).

tff(c_6,plain,
    ! [C_1,C1_2] :
      ( incident_c('#skF_1'(C_1,C1_2),C1_2)
      | part_of(C1_2,C_1) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_490,plain,
    ! [Q_170,C2_171,C1_172] :
      ( incident_c(Q_170,C2_171)
      | incident_c(Q_170,C1_172)
      | ~ incident_c(Q_170,sum(C1_172,C2_171)) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_155754,plain,
    ! [C_63803,C1_63804,C2_63805] :
      ( incident_c('#skF_1'(C_63803,sum(C1_63804,C2_63805)),C2_63805)
      | incident_c('#skF_1'(C_63803,sum(C1_63804,C2_63805)),C1_63804)
      | part_of(sum(C1_63804,C2_63805),C_63803) ),
    inference(resolution,[status(thm)],[c_6,c_490]) ).

tff(c_268,plain,
    ! [C_125,C1_126] :
      ( ~ incident_c('#skF_1'(C_125,C1_126),C_125)
      | part_of(C1_126,C_125) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_286,plain,
    ! [C1_126,C1_7,C2_8] :
      ( part_of(C1_126,sum(C1_7,C2_8))
      | ~ incident_c('#skF_1'(sum(C1_7,C2_8),C1_126),C1_7) ),
    inference(resolution,[status(thm)],[c_12,c_268]) ).

tff(c_911244,plain,
    ! [C1_326082,C2_326083,C2_326084] :
      ( incident_c('#skF_1'(sum(C1_326082,C2_326083),sum(C1_326082,C2_326084)),C2_326084)
      | part_of(sum(C1_326082,C2_326084),sum(C1_326082,C2_326083)) ),
    inference(resolution,[status(thm)],[c_155754,c_286]) ).

tff(c_36268,plain,
    ! [C1_21980,C1_21981,C2_21982] :
      ( part_of(C1_21980,sum(C1_21981,C2_21982))
      | ~ incident_c('#skF_1'(sum(C1_21981,C2_21982),C1_21980),C2_21982) ),
    inference(resolution,[status(thm)],[c_10,c_268]) ).

tff(c_36475,plain,
    ! [C1_21980,C1_21981,C1_7,C2_8] :
      ( part_of(C1_21980,sum(C1_21981,sum(C1_7,C2_8)))
      | ~ incident_c('#skF_1'(sum(C1_21981,sum(C1_7,C2_8)),C1_21980),C2_8) ),
    inference(resolution,[status(thm)],[c_10,c_36268]) ).

tff(c_920657,plain,
    ! [C1_327374,C2_327375,C1_327376] : part_of(sum(C1_327374,C2_327375),sum(C1_327374,sum(C1_327376,C2_327375))),
    inference(resolution,[status(thm)],[c_911244,c_36475]) ).

tff(c_923558,plain,
    ! [C1_327376] : part_of('#skF_13'('#skF_16','#skF_17'),sum('#skF_16',sum(C1_327376,'#skF_17'))),
    inference(superposition,[status(thm),theory(equality)],[c_392,c_920657]) ).

tff(c_1498916,plain,
    part_of('#skF_13'('#skF_16','#skF_17'),sum('#skF_16','#skF_18')),
    inference(superposition,[status(thm),theory(equality)],[c_1498604,c_923558]) ).

tff(c_1500466,plain,
    part_of('#skF_13'('#skF_16','#skF_17'),'#skF_13'('#skF_16','#skF_18')),
    inference(demodulation,[status(thm),theory(equality)],[c_391,c_1498916]) ).

tff(c_1500468,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_414,c_1500466]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : GEO083+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.16  % 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
% 0.17/0.37  % Computer : n011.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Fri Aug  4 00:49:51 EDT 2023
% 0.17/0.37  % CPUTime  : 
% 211.91/181.89  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 211.91/181.90  
% 211.91/181.90  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 211.91/181.94  
% 211.91/181.94  Inference rules
% 211.91/181.94  ----------------------
% 211.91/181.94  #Ref     : 0
% 211.91/181.94  #Sup     : 278209
% 211.91/181.94  #Fact    : 84
% 211.91/181.94  #Define  : 0
% 211.91/181.94  #Split   : 41
% 211.91/181.94  #Chain   : 0
% 211.91/181.94  #Close   : 0
% 211.91/181.94  
% 211.91/181.94  Ordering : KBO
% 211.91/181.94  
% 211.91/181.94  Simplification rules
% 211.91/181.94  ----------------------
% 211.91/181.94  #Subsume      : 179548
% 211.91/181.94  #Demod        : 66571
% 211.91/181.94  #Tautology    : 39213
% 211.91/181.94  #SimpNegUnit  : 1333
% 211.91/181.94  #BackRed      : 55
% 211.91/181.94  
% 211.91/181.94  #Partial instantiations: 302280
% 211.91/181.94  #Strategies tried      : 1
% 211.91/181.94  
% 211.91/181.94  Timing (in seconds)
% 211.91/181.94  ----------------------
% 211.91/181.94  Preprocessing        : 0.61
% 211.91/181.94  Parsing              : 0.30
% 211.91/181.94  CNF conversion       : 0.05
% 211.91/181.94  Main loop            : 180.16
% 211.91/181.94  Inferencing          : 14.44
% 211.91/181.94  Reduction            : 79.20
% 211.91/181.94  Demodulation         : 62.01
% 211.91/181.94  BG Simplification    : 0.64
% 211.91/181.94  Subsumption          : 79.68
% 211.91/181.94  Abstraction          : 1.16
% 211.91/181.94  MUC search           : 0.00
% 211.91/181.94  Cooper               : 0.00
% 211.91/181.94  Total                : 180.84
% 211.91/181.94  Index Insertion      : 0.00
% 211.91/181.94  Index Deletion       : 0.00
% 211.91/181.94  Index Matching       : 0.00
% 211.91/181.94  BG Taut test         : 0.00
%------------------------------------------------------------------------------