TSTP Solution File: ROB023-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : ROB023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n018.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 : 600s
% DateTime : Mon Jul 18 20:54:28 EDT 2022
% Result : Unsatisfiable 104.18s 26.38s
% Output : CNFRefutation 104.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 15:09:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 15694: Facts:
% 0.12/0.33 15694: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.34 15694: Id : 3, {_}:
% 0.12/0.34 add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
% 0.12/0.34 [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 0.12/0.34 15694: Id : 4, {_}:
% 0.12/0.34 negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
% 0.12/0.34 =>=
% 0.12/0.34 ?9
% 0.12/0.34 [10, 9] by robbins_axiom ?9 ?10
% 0.12/0.34 15694: Id : 5, {_}: add ?12 ?12 =>= ?12 [12] by x_plus_x_is_x ?12
% 0.12/0.34 15694: Goal:
% 0.12/0.34 15694: Id : 1, {_}:
% 0.12/0.34 add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
% 0.12/0.34 =>=
% 0.12/0.34 b
% 0.12/0.34 [] by prove_huntingtons_axiom
% 104.18/26.38 Statistics :
% 104.18/26.38 Max weight : 27
% 104.18/26.38 Found proof, 26.044159s
% 104.18/26.38 % SZS status Unsatisfiable for theBenchmark.p
% 104.18/26.38 % SZS output start CNFRefutation for theBenchmark.p
% 104.18/26.38 Id : 4, {_}: negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10)))) =>= ?9 [10, 9] by robbins_axiom ?9 ?10
% 104.18/26.38 Id : 5, {_}: add ?12 ?12 =>= ?12 [12] by x_plus_x_is_x ?12
% 104.18/26.38 Id : 3, {_}: add (add ?5 ?6) ?7 =>= add ?5 (add ?6 ?7) [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 104.18/26.38 Id : 13, {_}: add (add ?37 ?38) ?39 =>= add ?37 (add ?38 ?39) [39, 38, 37] by associativity_of_add ?37 ?38 ?39
% 104.18/26.38 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 104.18/26.38 Id : 25, {_}: negate (add (negate (add ?66 ?67)) (negate (add ?66 (negate ?67)))) =>= ?66 [67, 66] by robbins_axiom ?66 ?67
% 104.18/26.38 Id : 31, {_}: negate (add (negate (add ?86 ?87)) (negate (add ?87 (negate ?86)))) =>= ?87 [87, 86] by Super 25 with 2 at 1,1,1,2
% 104.18/26.38 Id : 14, {_}: add (add ?41 ?42) ?43 =>= add ?42 (add ?41 ?43) [43, 42, 41] by Super 13 with 2 at 1,2
% 104.18/26.38 Id : 20, {_}: add ?41 (add ?42 ?43) =?= add ?42 (add ?41 ?43) [43, 42, 41] by Demod 14 with 3 at 2
% 104.18/26.38 Id : 40, {_}: add ?101 ?102 =<= add ?101 (add ?101 ?102) [102, 101] by Super 3 with 5 at 1,2
% 104.18/26.38 Id : 43, {_}: negate (add (negate ?109) (negate (add ?109 (negate ?109)))) =>= ?109 [109] by Super 4 with 5 at 1,1,1,2
% 104.18/26.38 Id : 844, {_}: negate (add (negate (add ?1524 ?1525)) (negate (add (negate ?1525) ?1524))) =>= ?1524 [1525, 1524] by Super 25 with 2 at 1,2,1,2
% 104.18/26.38 Id : 864, {_}: negate (add (negate (add ?1592 ?1593)) (negate (add (negate ?1592) ?1593))) =>= ?1593 [1593, 1592] by Super 844 with 2 at 1,1,1,2
% 104.18/26.38 Id : 26, {_}: negate (add (negate (add ?69 (add (negate (add ?70 ?71)) (negate (add ?70 (negate ?71)))))) (negate (add ?69 ?70))) =>= ?69 [71, 70, 69] by Super 25 with 4 at 2,1,2,1,2
% 104.18/26.38 Id : 7006, {_}: negate (add (negate (add ?11976 ?11977)) (negate (add ?11976 (add (negate (add ?11977 ?11978)) (negate (add ?11977 (negate ?11978))))))) =>= ?11976 [11978, 11977, 11976] by Demod 26 with 2 at 1,2
% 104.18/26.38 Id : 7084, {_}: negate (add (negate (add (negate (add ?12321 ?12322)) ?12321)) (negate (add (negate (add ?12321 ?12322)) (negate (add ?12321 (negate ?12322)))))) =>= negate (add ?12321 ?12322) [12322, 12321] by Super 7006 with 40 at 1,2,1,2
% 104.18/26.38 Id : 7272, {_}: negate (add (negate (add ?12321 (negate (add ?12321 ?12322)))) (negate (add (negate (add ?12321 ?12322)) (negate (add ?12321 (negate ?12322)))))) =>= negate (add ?12321 ?12322) [12322, 12321] by Demod 7084 with 2 at 1,1,1,2
% 104.18/26.38 Id : 7273, {_}: negate (add (negate (add ?12321 (negate (add ?12321 ?12322)))) ?12321) =>= negate (add ?12321 ?12322) [12322, 12321] by Demod 7272 with 4 at 2,1,2
% 104.18/26.38 Id : 7400, {_}: negate (add ?12627 (negate (add ?12627 (negate (add ?12627 ?12628))))) =>= negate (add ?12627 ?12628) [12628, 12627] by Demod 7273 with 2 at 1,2
% 104.18/26.38 Id : 20552, {_}: negate (add ?42423 (negate (add ?42423 (negate (add ?42424 (add ?42423 ?42425)))))) =>= negate (add ?42423 (add ?42424 ?42425)) [42425, 42424, 42423] by Super 7400 with 20 at 1,2,1,2,1,2
% 104.18/26.38 Id : 36, {_}: negate (add (negate (add ?69 ?70)) (negate (add ?69 (add (negate (add ?70 ?71)) (negate (add ?70 (negate ?71))))))) =>= ?69 [71, 70, 69] by Demod 26 with 2 at 1,2
% 104.18/26.38 Id : 20642, {_}: negate (add (negate (add ?42912 ?42912)) ?42912) =<= negate (add (negate (add ?42912 ?42912)) (add ?42912 (negate (add ?42912 (negate ?42912))))) [42912] by Super 20552 with 36 at 2,1,2
% 104.18/26.38 Id : 20822, {_}: negate (add ?42912 (negate (add ?42912 ?42912))) =<= negate (add (negate (add ?42912 ?42912)) (add ?42912 (negate (add ?42912 (negate ?42912))))) [42912] by Demod 20642 with 2 at 1,2
% 104.18/26.38 Id : 11, {_}: add ?29 (add ?30 ?31) =?= add ?30 (add ?31 ?29) [31, 30, 29] by Super 2 with 3 at 3
% 104.18/26.38 Id : 20823, {_}: negate (add ?42912 (negate (add ?42912 ?42912))) =<= negate (add ?42912 (add (negate (add ?42912 (negate ?42912))) (negate (add ?42912 ?42912)))) [42912] by Demod 20822 with 11 at 1,3
% 104.18/26.38 Id : 20824, {_}: negate (add ?42912 (negate ?42912)) =<= negate (add ?42912 (add (negate (add ?42912 (negate ?42912))) (negate (add ?42912 ?42912)))) [42912] by Demod 20823 with 5 at 1,2,1,2
% 104.18/26.38 Id : 53, {_}: add ?132 ?133 =<= add ?132 (add ?132 ?133) [133, 132] by Super 3 with 5 at 1,2
% 104.18/26.38 Id : 54, {_}: add ?135 ?136 =<= add ?135 (add ?136 ?135) [136, 135] by Super 53 with 2 at 2,3
% 104.18/26.38 Id : 150, {_}: add (add ?347 ?348) ?349 =<= add ?347 (add (add ?348 ?347) ?349) [349, 348, 347] by Super 3 with 54 at 1,2
% 104.18/26.38 Id : 176, {_}: add ?347 (add ?348 ?349) =<= add ?347 (add (add ?348 ?347) ?349) [349, 348, 347] by Demod 150 with 3 at 2
% 104.18/26.38 Id : 177, {_}: add ?347 (add ?348 ?349) =<= add ?347 (add ?348 (add ?347 ?349)) [349, 348, 347] by Demod 176 with 3 at 2,3
% 104.18/26.38 Id : 85, {_}: add ?211 (add ?212 ?213) =<= add ?211 (add ?213 (add ?211 ?212)) [213, 212, 211] by Super 40 with 11 at 2,3
% 104.18/26.38 Id : 596, {_}: add ?347 (add ?348 ?349) =?= add ?347 (add ?349 ?348) [349, 348, 347] by Demod 177 with 85 at 3
% 104.18/26.38 Id : 20825, {_}: negate (add ?42912 (negate ?42912)) =<= negate (add ?42912 (add (negate (add ?42912 ?42912)) (negate (add ?42912 (negate ?42912))))) [42912] by Demod 20824 with 596 at 1,3
% 104.18/26.38 Id : 20826, {_}: negate (add ?42912 (negate ?42912)) =<= negate (add ?42912 (add (negate ?42912) (negate (add ?42912 (negate ?42912))))) [42912] by Demod 20825 with 5 at 1,1,2,1,3
% 104.18/26.38 Id : 26446, {_}: negate (add (negate (add ?47914 (negate ?47914))) (negate (add (negate ?47914) (add (negate ?47914) (negate (add ?47914 (negate ?47914))))))) =>= add (negate ?47914) (negate (add ?47914 (negate ?47914))) [47914] by Super 864 with 20826 at 1,1,2
% 104.18/26.38 Id : 7274, {_}: negate (add ?12321 (negate (add ?12321 (negate (add ?12321 ?12322))))) =>= negate (add ?12321 ?12322) [12322, 12321] by Demod 7273 with 2 at 1,2
% 104.18/26.38 Id : 30, {_}: negate (add (negate (add (negate (add ?83 ?84)) (add ?83 (negate ?84)))) ?83) =>= negate (add ?83 ?84) [84, 83] by Super 25 with 4 at 2,1,2
% 104.18/26.38 Id : 38, {_}: negate (add ?83 (negate (add (negate (add ?83 ?84)) (add ?83 (negate ?84))))) =>= negate (add ?83 ?84) [84, 83] by Demod 30 with 2 at 1,2
% 104.18/26.38 Id : 22298, {_}: negate (add ?83 (negate (add ?83 (add (negate ?84) (negate (add ?83 ?84)))))) =>= negate (add ?83 ?84) [84, 83] by Demod 38 with 11 at 1,2,1,2
% 104.18/26.38 Id : 24477, {_}: negate (add ?45957 (negate (add ?45957 ?45958))) =<= negate (add ?45957 (add (negate ?45958) (negate (add ?45957 ?45958)))) [45958, 45957] by Super 7274 with 22298 at 2,1,2
% 104.18/26.38 Id : 24478, {_}: negate (add ?45960 (negate (add ?45960 ?45961))) =<= negate (add ?45960 (add (negate ?45961) (negate (add ?45961 ?45960)))) [45961, 45960] by Super 24477 with 2 at 1,2,2,1,3
% 104.18/26.38 Id : 26639, {_}: negate (add (negate (add ?47914 (negate ?47914))) (negate (add (negate ?47914) (negate (add (negate ?47914) ?47914))))) =>= add (negate ?47914) (negate (add ?47914 (negate ?47914))) [47914] by Demod 26446 with 24478 at 2,1,2
% 104.18/26.38 Id : 26640, {_}: negate (add (negate (add ?47914 (negate ?47914))) (negate (add (negate ?47914) (negate (add ?47914 (negate ?47914)))))) =>= add (negate ?47914) (negate (add ?47914 (negate ?47914))) [47914] by Demod 26639 with 2 at 1,2,1,2,1,2
% 104.18/26.38 Id : 26641, {_}: negate (add (negate (add ?47914 (negate ?47914))) ?47914) =<= add (negate ?47914) (negate (add ?47914 (negate ?47914))) [47914] by Demod 26640 with 43 at 2,1,2
% 104.18/26.38 Id : 26642, {_}: negate (add ?47914 (negate (add ?47914 (negate ?47914)))) =<= add (negate ?47914) (negate (add ?47914 (negate ?47914))) [47914] by Demod 26641 with 2 at 1,2
% 104.18/26.38 Id : 811, {_}: negate (add (negate (add (negate ?1485) (add ?1485 (negate ?1485)))) ?1485) =>= negate ?1485 [1485] by Super 4 with 43 at 2,1,2
% 104.18/26.38 Id : 821, {_}: negate (add ?1485 (negate (add (negate ?1485) (add ?1485 (negate ?1485))))) =>= negate ?1485 [1485] by Demod 811 with 2 at 1,2
% 104.18/26.38 Id : 822, {_}: negate (add ?1485 (negate (add ?1485 (add (negate ?1485) (negate ?1485))))) =>= negate ?1485 [1485] by Demod 821 with 11 at 1,2,1,2
% 104.18/26.38 Id : 823, {_}: negate (add ?1485 (negate (add ?1485 (negate ?1485)))) =>= negate ?1485 [1485] by Demod 822 with 5 at 2,1,2,1,2
% 104.18/26.38 Id : 26643, {_}: negate ?47914 =<= add (negate ?47914) (negate (add ?47914 (negate ?47914))) [47914] by Demod 26642 with 823 at 2
% 104.18/26.38 Id : 27289, {_}: negate (negate ?109) =>= ?109 [109] by Demod 43 with 26643 at 1,2
% 104.18/26.38 Id : 24561, {_}: negate (add ?46312 (negate (add ?46312 ?46313))) =<= negate (add (negate ?46313) (add ?46312 (negate (add ?46312 ?46313)))) [46313, 46312] by Super 24477 with 20 at 1,3
% 104.18/26.38 Id : 27885, {_}: add (negate ?49079) ?49080 =<= add (negate ?49079) (add (negate (add ?49079 (negate ?49079))) ?49080) [49080, 49079] by Super 3 with 26643 at 1,2
% 104.18/26.38 Id : 27897, {_}: add (negate (negate ?49129)) ?49130 =<= add (negate (negate ?49129)) (add (negate (add (negate ?49129) ?49129)) ?49130) [49130, 49129] by Super 27885 with 27289 at 2,1,1,2,3
% 104.18/26.38 Id : 28304, {_}: add ?49129 ?49130 =<= add (negate (negate ?49129)) (add (negate (add (negate ?49129) ?49129)) ?49130) [49130, 49129] by Demod 27897 with 27289 at 1,2
% 104.18/26.38 Id : 28305, {_}: add ?49129 ?49130 =<= add ?49129 (add (negate (add (negate ?49129) ?49129)) ?49130) [49130, 49129] by Demod 28304 with 27289 at 1,3
% 104.18/26.38 Id : 28306, {_}: add ?49129 ?49130 =<= add ?49129 (add (negate (add ?49129 (negate ?49129))) ?49130) [49130, 49129] by Demod 28305 with 2 at 1,1,2,3
% 104.18/26.38 Id : 28554, {_}: negate (add (negate (add ?49939 ?49940)) (negate (add (add (negate (add ?49939 (negate ?49939))) ?49940) (negate ?49939)))) =>= add (negate (add ?49939 (negate ?49939))) ?49940 [49940, 49939] by Super 31 with 28306 at 1,1,1,2
% 104.18/26.38 Id : 28791, {_}: negate (add (negate (add ?49939 ?49940)) (negate (add (negate ?49939) (add (negate (add ?49939 (negate ?49939))) ?49940)))) =>= add (negate (add ?49939 (negate ?49939))) ?49940 [49940, 49939] by Demod 28554 with 2 at 1,2,1,2
% 104.18/26.38 Id : 27340, {_}: add (negate ?48209) ?48210 =<= add (negate ?48209) (add (negate (add ?48209 (negate ?48209))) ?48210) [48210, 48209] by Super 3 with 26643 at 1,2
% 104.18/26.38 Id : 28792, {_}: negate (add (negate (add ?49939 ?49940)) (negate (add (negate ?49939) ?49940))) =>= add (negate (add ?49939 (negate ?49939))) ?49940 [49940, 49939] by Demod 28791 with 27340 at 1,2,1,2
% 104.18/26.38 Id : 28793, {_}: ?49940 =<= add (negate (add ?49939 (negate ?49939))) ?49940 [49939, 49940] by Demod 28792 with 864 at 2
% 104.18/26.38 Id : 29982, {_}: add ?52059 (negate (add ?52060 (negate ?52060))) =>= ?52059 [52060, 52059] by Super 2 with 28793 at 3
% 104.18/26.38 Id : 30628, {_}: negate (add ?53204 (negate (add ?53204 (negate (add ?53205 (negate ?53205)))))) =<= negate (add (negate (negate (add ?53205 (negate ?53205)))) (add ?53204 (negate ?53204))) [53205, 53204] by Super 24561 with 29982 at 1,2,2,1,3
% 104.18/26.38 Id : 30659, {_}: negate (add ?53204 (negate ?53204)) =<= negate (add (negate (negate (add ?53205 (negate ?53205)))) (add ?53204 (negate ?53204))) [53205, 53204] by Demod 30628 with 29982 at 1,2,1,2
% 104.18/26.38 Id : 30660, {_}: negate (add ?53204 (negate ?53204)) =<= negate (add (add ?53205 (negate ?53205)) (add ?53204 (negate ?53204))) [53205, 53204] by Demod 30659 with 27289 at 1,1,3
% 104.18/26.38 Id : 30661, {_}: negate (add ?53204 (negate ?53204)) =<= negate (add ?53205 (add (negate ?53205) (add ?53204 (negate ?53204)))) [53205, 53204] by Demod 30660 with 3 at 1,3
% 104.18/26.38 Id : 32294, {_}: negate (negate (add ?55465 (negate ?55465))) =<= add ?55466 (add (negate ?55466) (add ?55465 (negate ?55465))) [55466, 55465] by Super 27289 with 30661 at 1,2
% 104.18/26.38 Id : 32389, {_}: add ?55465 (negate ?55465) =<= add ?55466 (add (negate ?55466) (add ?55465 (negate ?55465))) [55466, 55465] by Demod 32294 with 27289 at 2
% 104.18/26.38 Id : 32839, {_}: add ?56001 (add (negate ?56001) (add ?56002 (negate ?56002))) =>= add ?56001 (add ?56002 (negate ?56002)) [56002, 56001] by Super 40 with 32389 at 2,3
% 104.18/26.38 Id : 33178, {_}: add ?56002 (negate ?56002) =<= add ?56001 (add ?56002 (negate ?56002)) [56001, 56002] by Demod 32839 with 32389 at 2
% 104.18/26.38 Id : 33571, {_}: add ?56814 (add ?56815 (negate ?56814)) =>= add ?56814 (negate ?56814) [56815, 56814] by Super 20 with 33178 at 3
% 104.18/26.38 Id : 27, {_}: negate (add (negate (add ?73 ?74)) (negate (add (negate ?74) ?73))) =>= ?73 [74, 73] by Super 25 with 2 at 1,2,1,2
% 104.18/26.38 Id : 34165, {_}: negate (add (negate (add ?57411 (negate ?57411))) (negate (add (negate (add ?57412 (negate ?57411))) ?57411))) =>= ?57411 [57412, 57411] by Super 27 with 33571 at 1,1,1,2
% 104.18/26.38 Id : 34426, {_}: negate (negate (add (negate (add ?57412 (negate ?57411))) ?57411)) =>= ?57411 [57411, 57412] by Demod 34165 with 28793 at 1,2
% 104.18/26.38 Id : 34427, {_}: add (negate (add ?57412 (negate ?57411))) ?57411 =>= ?57411 [57411, 57412] by Demod 34426 with 27289 at 2
% 104.18/26.38 Id : 35788, {_}: add ?59158 (negate (add ?59159 (negate ?59158))) =>= ?59158 [59159, 59158] by Demod 34427 with 2 at 2
% 104.18/26.38 Id : 35800, {_}: add (negate ?59209) (negate (add ?59210 ?59209)) =>= negate ?59209 [59210, 59209] by Super 35788 with 27289 at 2,1,2,2
% 104.18/26.38 Id : 36567, {_}: add (add ?60326 ?60327) (negate ?60327) =<= add (add ?60326 ?60327) (negate (add ?60326 ?60327)) [60327, 60326] by Super 33571 with 35800 at 2,2
% 104.18/26.38 Id : 36678, {_}: add (negate ?60327) (add ?60326 ?60327) =<= add (add ?60326 ?60327) (negate (add ?60326 ?60327)) [60326, 60327] by Demod 36567 with 2 at 2
% 104.18/26.38 Id : 36679, {_}: add (negate ?60327) (add ?60326 ?60327) =<= add ?60326 (add ?60327 (negate (add ?60326 ?60327))) [60326, 60327] by Demod 36678 with 3 at 3
% 104.18/26.38 Id : 152, {_}: add (add ?355 ?356) (add ?357 ?356) =>= add ?357 (add ?356 ?355) [357, 356, 355] by Super 11 with 54 at 2,3
% 104.18/26.38 Id : 170, {_}: add ?355 (add ?356 (add ?357 ?356)) =>= add ?357 (add ?356 ?355) [357, 356, 355] by Demod 152 with 3 at 2
% 104.18/26.38 Id : 171, {_}: add ?355 (add ?356 ?357) =?= add ?357 (add ?356 ?355) [357, 356, 355] by Demod 170 with 54 at 2,2
% 104.18/26.38 Id : 36680, {_}: add ?60327 (add ?60326 (negate ?60327)) =<= add ?60326 (add ?60327 (negate (add ?60326 ?60327))) [60326, 60327] by Demod 36679 with 171 at 2
% 104.18/26.38 Id : 36681, {_}: add ?60327 (negate ?60327) =<= add ?60326 (add ?60327 (negate (add ?60326 ?60327))) [60326, 60327] by Demod 36680 with 33571 at 2
% 104.18/26.38 Id : 42699, {_}: negate (add (negate (add ?69796 (negate ?69796))) (negate (add (add ?69796 (negate (add ?69797 ?69796))) (negate ?69797)))) =>= add ?69796 (negate (add ?69797 ?69796)) [69797, 69796] by Super 31 with 36681 at 1,1,1,2
% 104.18/26.38 Id : 42976, {_}: negate (negate (add (add ?69796 (negate (add ?69797 ?69796))) (negate ?69797))) =>= add ?69796 (negate (add ?69797 ?69796)) [69797, 69796] by Demod 42699 with 28793 at 1,2
% 104.18/26.38 Id : 42977, {_}: add (add ?69796 (negate (add ?69797 ?69796))) (negate ?69797) =>= add ?69796 (negate (add ?69797 ?69796)) [69797, 69796] by Demod 42976 with 27289 at 2
% 104.18/26.38 Id : 42978, {_}: add (negate ?69797) (add ?69796 (negate (add ?69797 ?69796))) =>= add ?69796 (negate (add ?69797 ?69796)) [69796, 69797] by Demod 42977 with 2 at 2
% 104.18/26.38 Id : 33568, {_}: add (add ?56805 (negate ?56805)) ?56806 =?= add (add ?56805 (negate ?56805)) (add ?56805 (negate ?56805)) [56806, 56805] by Super 54 with 33178 at 2,3
% 104.18/26.38 Id : 33790, {_}: add ?56805 (add (negate ?56805) ?56806) =?= add (add ?56805 (negate ?56805)) (add ?56805 (negate ?56805)) [56806, 56805] by Demod 33568 with 3 at 2
% 104.18/26.38 Id : 33791, {_}: add ?56805 (add (negate ?56805) ?56806) =?= add ?56805 (add (negate ?56805) (add ?56805 (negate ?56805))) [56806, 56805] by Demod 33790 with 3 at 3
% 104.18/26.38 Id : 459, {_}: add ?933 (add ?934 ?935) =<= add ?933 (add ?935 (add ?933 ?934)) [935, 934, 933] by Super 40 with 11 at 2,3
% 104.18/26.38 Id : 473, {_}: add ?995 (add ?996 (add ?997 ?998)) =<= add ?995 (add ?997 (add ?998 (add ?995 ?996))) [998, 997, 996, 995] by Super 459 with 3 at 2,3
% 104.18/26.38 Id : 84, {_}: add ?207 (add ?208 ?209) =<= add ?207 (add ?208 (add ?209 ?207)) [209, 208, 207] by Super 40 with 11 at 2,3
% 104.18/26.38 Id : 218, {_}: add (add ?427 (add ?428 ?429)) ?430 =<= add ?427 (add (add ?428 (add ?429 ?427)) ?430) [430, 429, 428, 427] by Super 3 with 84 at 1,2
% 104.18/26.38 Id : 261, {_}: add ?427 (add (add ?428 ?429) ?430) =<= add ?427 (add (add ?428 (add ?429 ?427)) ?430) [430, 429, 428, 427] by Demod 218 with 3 at 2
% 104.18/26.38 Id : 262, {_}: add ?427 (add (add ?428 ?429) ?430) =<= add ?427 (add ?428 (add (add ?429 ?427) ?430)) [430, 429, 428, 427] by Demod 261 with 3 at 2,3
% 104.18/26.38 Id : 263, {_}: add ?427 (add ?428 (add ?429 ?430)) =<= add ?427 (add ?428 (add (add ?429 ?427) ?430)) [430, 429, 428, 427] by Demod 262 with 3 at 2,2
% 104.18/26.38 Id : 264, {_}: add ?427 (add ?428 (add ?429 ?430)) =<= add ?427 (add ?428 (add ?429 (add ?427 ?430))) [430, 429, 428, 427] by Demod 263 with 3 at 2,2,3
% 104.18/26.38 Id : 2266, {_}: add ?995 (add ?996 (add ?997 ?998)) =?= add ?995 (add ?997 (add ?998 ?996)) [998, 997, 996, 995] by Demod 473 with 264 at 3
% 104.18/26.38 Id : 33792, {_}: add ?56805 (add (negate ?56805) ?56806) =?= add ?56805 (add ?56805 (add (negate ?56805) (negate ?56805))) [56806, 56805] by Demod 33791 with 2266 at 3
% 104.18/26.38 Id : 33793, {_}: add ?56805 (add (negate ?56805) ?56806) =?= add ?56805 (add (negate ?56805) (negate ?56805)) [56806, 56805] by Demod 33792 with 40 at 3
% 104.18/26.38 Id : 33794, {_}: add ?56805 (add (negate ?56805) ?56806) =>= add ?56805 (negate ?56805) [56806, 56805] by Demod 33793 with 5 at 2,3
% 104.18/26.38 Id : 34827, {_}: negate (add (negate (add ?58090 (negate ?58090))) (negate (add ?58090 (negate (add (negate ?58090) ?58091))))) =>= ?58090 [58091, 58090] by Super 4 with 33794 at 1,1,1,2
% 104.18/26.38 Id : 35217, {_}: negate (negate (add ?58090 (negate (add (negate ?58090) ?58091)))) =>= ?58090 [58091, 58090] by Demod 34827 with 28793 at 1,2
% 104.18/26.38 Id : 36131, {_}: add ?59646 (negate (add (negate ?59646) ?59647)) =>= ?59646 [59647, 59646] by Demod 35217 with 27289 at 2
% 104.18/26.38 Id : 36143, {_}: add (negate ?59697) (negate (add ?59697 ?59698)) =>= negate ?59697 [59698, 59697] by Super 36131 with 27289 at 1,1,2,2
% 104.18/26.38 Id : 38602, {_}: add (negate ?64788) (add ?64789 (negate (add ?64788 ?64790))) =>= add ?64789 (negate ?64788) [64790, 64789, 64788] by Super 20 with 36143 at 2,3
% 104.18/26.38 Id : 54613, {_}: add ?89753 (negate ?89754) =<= add ?89753 (negate (add ?89754 ?89753)) [89754, 89753] by Demod 42978 with 38602 at 2
% 104.18/26.38 Id : 55327, {_}: add ?90557 (negate ?90558) =<= add ?90557 (negate (add ?90557 ?90558)) [90558, 90557] by Super 54613 with 2 at 1,2,3
% 104.18/26.38 Id : 55334, {_}: add ?90582 (negate (add ?90583 ?90584)) =<= add ?90582 (negate (add ?90584 (add ?90583 ?90582))) [90584, 90583, 90582] by Super 55327 with 171 at 1,2,3
% 104.18/26.38 Id : 54615, {_}: add ?89759 (negate (add ?89760 ?89761)) =<= add ?89759 (negate (add ?89760 (add ?89761 ?89759))) [89761, 89760, 89759] by Super 54613 with 3 at 1,2,3
% 104.18/26.38 Id : 60376, {_}: add ?90582 (negate (add ?90583 ?90584)) =?= add ?90582 (negate (add ?90584 ?90583)) [90584, 90583, 90582] by Demod 55334 with 54615 at 3
% 104.18/26.38 Id : 54511, {_}: add ?69796 (negate ?69797) =<= add ?69796 (negate (add ?69797 ?69796)) [69797, 69796] by Demod 42978 with 38602 at 2
% 104.18/26.38 Id : 54688, {_}: add (negate (add ?90081 ?90082)) (negate ?90082) =<= add (negate (add ?90081 ?90082)) (negate (add ?90082 (negate ?90081))) [90082, 90081] by Super 54613 with 54511 at 1,2,3
% 104.18/26.38 Id : 55164, {_}: add (negate ?90082) (negate (add ?90081 ?90082)) =<= add (negate (add ?90081 ?90082)) (negate (add ?90082 (negate ?90081))) [90081, 90082] by Demod 54688 with 2 at 2
% 104.18/26.38 Id : 55165, {_}: negate ?90082 =<= add (negate (add ?90081 ?90082)) (negate (add ?90082 (negate ?90081))) [90081, 90082] by Demod 55164 with 35800 at 2
% 104.18/26.38 Id : 72373, {_}: add (negate (add ?117817 ?117818)) (negate (add (negate ?117817) ?117818)) =>= negate ?117818 [117818, 117817] by Super 60376 with 55165 at 3
% 104.18/26.38 Id : 80711, {_}: b =?= b [] by Demod 80710 with 27289 at 2
% 104.18/26.38 Id : 80710, {_}: negate (negate b) =>= b [] by Demod 1 with 72373 at 2
% 104.18/26.38 Id : 1, {_}: add (negate (add a (negate b))) (negate (add (negate a) (negate b))) =>= b [] by prove_huntingtons_axiom
% 104.18/26.38 % SZS output end CNFRefutation for theBenchmark.p
% 104.18/26.38 15695: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 26.046276 using kbo
%------------------------------------------------------------------------------