TSTP Solution File: ROB004-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : ROB004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n026.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 20:54:24 EDT 2022
% Result : Unsatisfiable 40.83s 10.56s
% Output : CNFRefutation 40.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ROB004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n026.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 15:36:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 14045: Facts:
% 0.12/0.33 14045: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.12/0.33 14045: Id : 3, {_}:
% 0.12/0.33 add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
% 0.12/0.33 [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 0.12/0.33 14045: Id : 4, {_}:
% 0.12/0.33 negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
% 0.12/0.33 =>=
% 0.12/0.33 ?9
% 0.12/0.33 [10, 9] by robbins_axiom ?9 ?10
% 0.12/0.33 14045: Id : 5, {_}: negate d =>= c [] by negate_d_is_c
% 0.12/0.33 14045: Id : 6, {_}: add c d =>= d [] by c_plus_d_is_d
% 0.12/0.33 14045: Id : 7, {_}: add c c =>= c [] by c_plus_c_is_c
% 0.12/0.33 14045: Goal:
% 0.12/0.33 14045: Id : 1, {_}:
% 0.12/0.33 add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
% 0.12/0.33 =>=
% 0.12/0.33 b
% 0.12/0.33 [] by prove_huntingtons_axiom
% 40.83/10.56 Statistics :
% 40.83/10.56 Max weight : 20
% 40.83/10.56 Found proof, 10.228407s
% 40.83/10.56 % SZS status Unsatisfiable for theBenchmark.p
% 40.83/10.56 % SZS output start CNFRefutation for theBenchmark.p
% 40.83/10.56 Id : 15, {_}: add (add ?38 ?39) ?40 =>= add ?38 (add ?39 ?40) [40, 39, 38] by associativity_of_add ?38 ?39 ?40
% 40.83/10.56 Id : 7, {_}: add c c =>= c [] by c_plus_c_is_c
% 40.83/10.56 Id : 6, {_}: add c d =>= d [] by c_plus_d_is_d
% 40.83/10.56 Id : 3, {_}: add (add ?5 ?6) ?7 =>= add ?5 (add ?6 ?7) [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 40.83/10.56 Id : 5, {_}: negate d =>= c [] by negate_d_is_c
% 40.83/10.56 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 40.83/10.56 Id : 27, {_}: negate (add (negate (add ?67 ?68)) (negate (add ?67 (negate ?68)))) =>= ?67 [68, 67] by robbins_axiom ?67 ?68
% 40.83/10.56 Id : 4, {_}: negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10)))) =>= ?9 [10, 9] by robbins_axiom ?9 ?10
% 40.83/10.56 Id : 29, {_}: negate (add (negate (add ?74 ?75)) (negate (add (negate ?75) ?74))) =>= ?74 [75, 74] by Super 27 with 2 at 1,2,1,2
% 40.83/10.56 Id : 1224, {_}: negate (add (negate (add ?1656 ?1657)) (negate (add ?1657 (negate ?1656)))) =>= ?1657 [1657, 1656] by Super 27 with 2 at 1,1,1,2
% 40.83/10.56 Id : 13681, {_}: negate (add (negate (add d ?14843)) (negate (add ?14843 c))) =>= ?14843 [14843] by Super 1224 with 5 at 2,1,2,1,2
% 40.83/10.56 Id : 45, {_}: add d c =>= d [] by Demod 6 with 2 at 2
% 40.83/10.56 Id : 161, {_}: add d ?302 =<= add d (add c ?302) [302] by Super 3 with 45 at 1,2
% 40.83/10.56 Id : 164, {_}: add d ?308 =<= add d (add ?308 c) [308] by Super 161 with 2 at 2,3
% 40.83/10.56 Id : 13726, {_}: negate (add (negate (add d ?14937)) (negate (add (add ?14937 c) c))) =>= add ?14937 c [14937] by Super 13681 with 164 at 1,1,1,2
% 40.83/10.56 Id : 2208, {_}: negate (add ?2670 (negate (add (negate (add ?2670 ?2671)) (negate (negate (add ?2670 (negate ?2671))))))) =>= negate (add ?2670 ?2671) [2671, 2670] by Super 27 with 4 at 1,1,2
% 40.83/10.56 Id : 197, {_}: add c ?346 =<= add c (add c ?346) [346] by Super 3 with 7 at 1,2
% 40.83/10.56 Id : 57, {_}: add c ?115 =<= add c (add c ?115) [115] by Super 3 with 7 at 1,2
% 40.83/10.56 Id : 210, {_}: add c ?373 =?= add c ?373 [373] by Super 197 with 57 at 3
% 40.83/10.56 Id : 2218, {_}: negate (add c (negate (add (negate (add c ?2702)) (negate (negate (add c (negate ?2702))))))) =>= negate (add c ?2702) [2702] by Super 2208 with 210 at 1,1,2,1,2,1,2
% 40.83/10.56 Id : 36, {_}: negate (add ?97 (negate (add (negate (add ?97 ?98)) (negate (negate (add ?97 (negate ?98))))))) =>= negate (add ?97 ?98) [98, 97] by Super 27 with 4 at 1,1,2
% 40.83/10.56 Id : 5457, {_}: negate (add c ?5711) =?= negate (add c ?5711) [5711] by Demod 2218 with 36 at 2
% 40.83/10.56 Id : 5460, {_}: negate (add c ?5717) =?= negate (add ?5717 c) [5717] by Super 5457 with 2 at 1,3
% 40.83/10.56 Id : 13842, {_}: negate (add (negate (add d ?14937)) (negate (add c (add ?14937 c)))) =>= add ?14937 c [14937] by Demod 13726 with 5460 at 2,1,2
% 40.83/10.56 Id : 106, {_}: add ?185 (add ?186 ?187) =?= add ?186 (add ?187 ?185) [187, 186, 185] by Super 2 with 3 at 3
% 40.83/10.56 Id : 109, {_}: add c (add ?198 c) =>= add ?198 c [198] by Super 106 with 7 at 2,3
% 40.83/10.56 Id : 13843, {_}: negate (add (negate (add d ?14937)) (negate (add ?14937 c))) =>= add ?14937 c [14937] by Demod 13842 with 109 at 1,2,1,2
% 40.83/10.56 Id : 1226, {_}: negate (add (negate (add d ?1663)) (negate (add ?1663 c))) =>= ?1663 [1663] by Super 1224 with 5 at 2,1,2,1,2
% 40.83/10.56 Id : 13844, {_}: ?14937 =<= add ?14937 c [14937] by Demod 13843 with 1226 at 2
% 40.83/10.56 Id : 14247, {_}: negate (add (negate (add c ?15459)) (negate (negate ?15459))) =>= c [15459] by Super 29 with 13844 at 1,2,1,2
% 40.83/10.56 Id : 14305, {_}: negate (add (negate (negate ?15459)) (negate (add c ?15459))) =>= c [15459] by Demod 14247 with 2 at 1,2
% 40.83/10.56 Id : 14198, {_}: add c ?198 =?= add ?198 c [198] by Demod 109 with 13844 at 2,2
% 40.83/10.56 Id : 14199, {_}: add c ?198 =>= ?198 [198] by Demod 14198 with 13844 at 3
% 40.83/10.56 Id : 14306, {_}: negate (add (negate (negate ?15459)) (negate ?15459)) =>= c [15459] by Demod 14305 with 14199 at 1,2,1,2
% 40.83/10.56 Id : 14363, {_}: negate (add (negate ?15579) (negate (negate ?15579))) =>= c [15579] by Demod 14306 with 2 at 1,2
% 40.83/10.56 Id : 14364, {_}: negate (add (negate (add (negate (add ?15581 ?15582)) (negate (add ?15581 (negate ?15582))))) (negate ?15581)) =>= c [15582, 15581] by Super 14363 with 4 at 1,2,1,2
% 40.83/10.56 Id : 14440, {_}: negate (add (negate ?15581) (negate (add (negate (add ?15581 ?15582)) (negate (add ?15581 (negate ?15582)))))) =>= c [15582, 15581] by Demod 14364 with 2 at 1,2
% 40.83/10.56 Id : 14441, {_}: negate (add (negate ?15581) ?15581) =>= c [15581] by Demod 14440 with 4 at 2,1,2
% 40.83/10.56 Id : 14442, {_}: negate (add ?15581 (negate ?15581)) =>= c [15581] by Demod 14441 with 2 at 1,2
% 40.83/10.56 Id : 14533, {_}: negate (add c (negate (add ?15699 (negate (negate ?15699))))) =>= ?15699 [15699] by Super 4 with 14442 at 1,1,2
% 40.83/10.56 Id : 14587, {_}: negate (negate (add ?15699 (negate (negate ?15699)))) =>= ?15699 [15699] by Demod 14533 with 14199 at 1,2
% 40.83/10.56 Id : 14307, {_}: negate (add (negate ?15459) (negate (negate ?15459))) =>= c [15459] by Demod 14306 with 2 at 1,2
% 40.83/10.56 Id : 14353, {_}: negate (add (negate (add (negate (negate ?15557)) ?15557)) c) =>= negate (negate ?15557) [15557] by Super 29 with 14307 at 2,1,2
% 40.83/10.56 Id : 14418, {_}: negate (add c (negate (add (negate (negate ?15557)) ?15557))) =>= negate (negate ?15557) [15557] by Demod 14353 with 2 at 1,2
% 40.83/10.56 Id : 14419, {_}: negate (negate (add (negate (negate ?15557)) ?15557)) =>= negate (negate ?15557) [15557] by Demod 14418 with 14199 at 1,2
% 40.83/10.56 Id : 14420, {_}: negate (negate (add ?15557 (negate (negate ?15557)))) =>= negate (negate ?15557) [15557] by Demod 14419 with 2 at 1,1,2
% 40.83/10.56 Id : 14895, {_}: negate (negate ?15978) =>= ?15978 [15978] by Demod 14587 with 14420 at 2
% 40.83/10.56 Id : 43602, {_}: negate ?54256 =<= add (negate (add ?54256 ?54257)) (negate (add ?54256 (negate ?54257))) [54257, 54256] by Super 14895 with 4 at 1,2
% 40.83/10.56 Id : 14876, {_}: negate (negate ?15699) =>= ?15699 [15699] by Demod 14587 with 14420 at 2
% 40.83/10.56 Id : 32, {_}: negate (add (negate (add (negate (add ?84 ?85)) (add ?84 (negate ?85)))) ?84) =>= negate (add ?84 ?85) [85, 84] by Super 27 with 4 at 2,1,2
% 40.83/10.56 Id : 40, {_}: negate (add ?84 (negate (add (negate (add ?84 ?85)) (add ?84 (negate ?85))))) =>= negate (add ?84 ?85) [85, 84] by Demod 32 with 2 at 1,2
% 40.83/10.56 Id : 13, {_}: add ?30 (add ?31 ?32) =?= add ?31 (add ?32 ?30) [32, 31, 30] by Super 2 with 3 at 3
% 40.83/10.56 Id : 13888, {_}: negate (add ?84 (negate (add ?84 (add (negate ?85) (negate (add ?84 ?85)))))) =>= negate (add ?84 ?85) [85, 84] by Demod 40 with 13 at 1,2,1,2
% 40.83/10.56 Id : 16, {_}: add (add ?42 ?43) ?44 =>= add ?43 (add ?42 ?44) [44, 43, 42] by Super 15 with 2 at 1,2
% 40.83/10.56 Id : 22, {_}: add ?42 (add ?43 ?44) =?= add ?43 (add ?42 ?44) [44, 43, 42] by Demod 16 with 3 at 2
% 40.83/10.56 Id : 14909, {_}: negate c =<= add ?16012 (negate ?16012) [16012] by Super 14895 with 14442 at 1,2
% 40.83/10.56 Id : 48, {_}: negate (add (negate d) (negate (add d (negate c)))) =>= d [] by Super 4 with 45 at 1,1,1,2
% 40.83/10.56 Id : 51, {_}: negate (add c (negate (add d (negate c)))) =>= d [] by Demod 48 with 5 at 1,1,2
% 40.83/10.56 Id : 653, {_}: negate (add (negate (add c (add d (negate c)))) d) =>= c [] by Super 4 with 51 at 2,1,2
% 40.83/10.56 Id : 666, {_}: negate (add d (negate (add c (add d (negate c))))) =>= c [] by Demod 653 with 2 at 1,2
% 40.83/10.56 Id : 667, {_}: negate (add d (negate (add d (add (negate c) c)))) =>= c [] by Demod 666 with 13 at 1,2,1,2
% 40.83/10.56 Id : 668, {_}: negate (add d (negate (add d (negate c)))) =>= c [] by Demod 667 with 164 at 1,2,1,2
% 40.83/10.56 Id : 1271, {_}: negate (add c (negate (add (negate (add d (negate c))) (negate d)))) =>= negate (add d (negate c)) [] by Super 1224 with 668 at 1,1,2
% 40.83/10.56 Id : 1354, {_}: negate (add c (negate (add (negate d) (negate (add d (negate c)))))) =>= negate (add d (negate c)) [] by Demod 1271 with 2 at 1,2,1,2
% 40.83/10.56 Id : 1355, {_}: negate (add c (negate (add c (negate (add d (negate c)))))) =>= negate (add d (negate c)) [] by Demod 1354 with 5 at 1,1,2,1,2
% 40.83/10.56 Id : 1356, {_}: negate (add c d) =<= negate (add d (negate c)) [] by Demod 1355 with 51 at 2,1,2
% 40.83/10.56 Id : 1357, {_}: negate (add d c) =<= negate (add d (negate c)) [] by Demod 1356 with 2 at 1,2
% 40.83/10.56 Id : 1358, {_}: negate d =<= negate (add d (negate c)) [] by Demod 1357 with 45 at 1,2
% 40.83/10.56 Id : 1359, {_}: c =<= negate (add d (negate c)) [] by Demod 1358 with 5 at 2
% 40.83/10.56 Id : 1396, {_}: negate (add c c) =>= d [] by Demod 51 with 1359 at 2,1,2
% 40.83/10.56 Id : 1400, {_}: negate c =>= d [] by Demod 1396 with 7 at 1,2
% 40.83/10.56 Id : 14934, {_}: d =<= add ?16012 (negate ?16012) [16012] by Demod 14909 with 1400 at 2
% 40.83/10.56 Id : 14968, {_}: add ?16090 (add ?16091 (negate ?16090)) =>= add ?16091 d [16091, 16090] by Super 22 with 14934 at 2,3
% 40.83/10.56 Id : 33, {_}: negate (add (negate (add ?87 ?88)) (negate (add ?88 (negate ?87)))) =>= ?88 [88, 87] by Super 27 with 2 at 1,1,1,2
% 40.83/10.56 Id : 889, {_}: negate (add (negate (add d (add d (negate c)))) c) =>= d [] by Super 4 with 668 at 2,1,2
% 40.83/10.56 Id : 904, {_}: negate (add c (negate (add d (add d (negate c))))) =>= d [] by Demod 889 with 2 at 1,2
% 40.83/10.56 Id : 3806, {_}: negate (add c (negate (add d (add d d)))) =>= d [] by Demod 904 with 1400 at 2,2,1,2,1,2
% 40.83/10.56 Id : 3808, {_}: negate (add c (negate (add (negate (add c (add d (add d d)))) (negate d)))) =>= negate (add c (add d (add d d))) [] by Super 36 with 3806 at 1,2,1,2,1,2
% 40.83/10.56 Id : 3861, {_}: negate (add c (negate (add (negate d) (negate (add c (add d (add d d))))))) =>= negate (add c (add d (add d d))) [] by Demod 3808 with 2 at 1,2,1,2
% 40.83/10.56 Id : 3862, {_}: negate (add c (negate (add (negate d) (negate (add c (add d (add d d))))))) =>= negate (add d (add (add d d) c)) [] by Demod 3861 with 13 at 1,3
% 40.83/10.56 Id : 3863, {_}: negate (add c (negate (add c (negate (add c (add d (add d d))))))) =>= negate (add d (add (add d d) c)) [] by Demod 3862 with 5 at 1,1,2,1,2
% 40.83/10.56 Id : 3864, {_}: negate (add c (negate (add c (negate (add d (add (add d d) c)))))) =>= negate (add d (add (add d d) c)) [] by Demod 3863 with 13 at 1,2,1,2,1,2
% 40.83/10.56 Id : 3865, {_}: negate (add c (negate (add c (negate (add d (add (add d d) c)))))) =>= negate (add d (add d d)) [] by Demod 3864 with 164 at 1,3
% 40.83/10.56 Id : 3866, {_}: negate (add c (negate (add c (negate (add d (add d d)))))) =>= negate (add d (add d d)) [] by Demod 3865 with 164 at 1,2,1,2,1,2
% 40.83/10.56 Id : 3867, {_}: negate (add c d) =<= negate (add d (add d d)) [] by Demod 3866 with 3806 at 2,1,2
% 40.83/10.56 Id : 3868, {_}: negate (add d c) =<= negate (add d (add d d)) [] by Demod 3867 with 2 at 1,2
% 40.83/10.56 Id : 3869, {_}: negate d =<= negate (add d (add d d)) [] by Demod 3868 with 45 at 1,2
% 40.83/10.56 Id : 3870, {_}: c =<= negate (add d (add d d)) [] by Demod 3869 with 5 at 2
% 40.83/10.56 Id : 3906, {_}: negate (add c (negate (add (add d d) (negate d)))) =>= add d d [] by Super 33 with 3870 at 1,1,2
% 40.83/10.56 Id : 3947, {_}: negate (add c (negate (add (negate d) (add d d)))) =>= add d d [] by Demod 3906 with 2 at 1,2,1,2
% 40.83/10.56 Id : 3948, {_}: negate (add c (negate (add d (add d (negate d))))) =>= add d d [] by Demod 3947 with 13 at 1,2,1,2
% 40.83/10.56 Id : 3949, {_}: negate (add c (negate (add d (add d c)))) =>= add d d [] by Demod 3948 with 5 at 2,2,1,2,1,2
% 40.83/10.56 Id : 3950, {_}: negate (add c (negate (add d d))) =>= add d d [] by Demod 3949 with 164 at 1,2,1,2
% 40.83/10.56 Id : 1402, {_}: c =<= negate (add d d) [] by Demod 1359 with 1400 at 2,1,3
% 40.83/10.56 Id : 3951, {_}: negate (add c c) =>= add d d [] by Demod 3950 with 1402 at 2,1,2
% 40.83/10.56 Id : 3952, {_}: negate c =<= add d d [] by Demod 3951 with 7 at 1,2
% 40.83/10.56 Id : 3953, {_}: d =<= add d d [] by Demod 3952 with 1400 at 2
% 40.83/10.56 Id : 4008, {_}: add d (add ?4298 d) =>= add ?4298 d [4298] by Super 13 with 3953 at 2,3
% 40.83/10.56 Id : 15673, {_}: add d ?16737 =<= add ?16738 (add (negate ?16738) ?16737) [16738, 16737] by Super 3 with 14934 at 1,2
% 40.83/10.56 Id : 14532, {_}: negate (add (negate (add ?15697 ?15697)) c) =>= ?15697 [15697] by Super 4 with 14442 at 2,1,2
% 40.83/10.56 Id : 14585, {_}: negate (add c (negate (add ?15697 ?15697))) =>= ?15697 [15697] by Demod 14532 with 2 at 1,2
% 40.83/10.56 Id : 14586, {_}: negate (negate (add ?15697 ?15697)) =>= ?15697 [15697] by Demod 14585 with 14199 at 1,2
% 40.83/10.56 Id : 14881, {_}: add ?15697 ?15697 =>= ?15697 [15697] by Demod 14586 with 14876 at 2
% 40.83/10.56 Id : 15695, {_}: add d (negate ?16811) =?= add ?16811 (negate ?16811) [16811] by Super 15673 with 14881 at 2,3
% 40.83/10.56 Id : 15980, {_}: add d (negate ?16993) =>= d [16993] by Demod 15695 with 14934 at 3
% 40.83/10.56 Id : 15981, {_}: add d ?16995 =>= d [16995] by Super 15980 with 4 at 2,2
% 40.83/10.56 Id : 16135, {_}: d =<= add ?4298 d [4298] by Demod 4008 with 15981 at 2
% 40.83/10.56 Id : 16377, {_}: add ?16090 (add ?16091 (negate ?16090)) =>= d [16091, 16090] by Demod 14968 with 16135 at 3
% 40.83/10.56 Id : 16399, {_}: negate (add (negate d) (negate (add (negate (add ?17207 (negate ?17208))) ?17208))) =>= ?17208 [17208, 17207] by Super 29 with 16377 at 1,1,1,2
% 40.83/10.56 Id : 16440, {_}: negate (add c (negate (add (negate (add ?17207 (negate ?17208))) ?17208))) =>= ?17208 [17208, 17207] by Demod 16399 with 5 at 1,1,2
% 40.83/10.56 Id : 16441, {_}: negate (add c (negate (add ?17208 (negate (add ?17207 (negate ?17208)))))) =>= ?17208 [17207, 17208] by Demod 16440 with 2 at 1,2,1,2
% 40.83/10.56 Id : 16442, {_}: negate (negate (add ?17208 (negate (add ?17207 (negate ?17208))))) =>= ?17208 [17207, 17208] by Demod 16441 with 14199 at 1,2
% 40.83/10.56 Id : 17276, {_}: add ?18489 (negate (add ?18490 (negate ?18489))) =>= ?18489 [18490, 18489] by Demod 16442 with 14876 at 2
% 40.83/10.56 Id : 17285, {_}: add (negate ?18522) (negate (add ?18523 ?18522)) =>= negate ?18522 [18523, 18522] by Super 17276 with 14876 at 2,1,2,2
% 40.83/10.56 Id : 17422, {_}: negate (add ?84 (negate (add ?84 (negate ?85)))) =>= negate (add ?84 ?85) [85, 84] by Demod 13888 with 17285 at 2,1,2,1,2
% 40.83/10.56 Id : 17286, {_}: add ?18525 (negate (add (negate ?18525) ?18526)) =>= ?18525 [18526, 18525] by Super 17276 with 2 at 1,2,2
% 40.83/10.56 Id : 17653, {_}: negate (add (negate (add (negate (add (negate (negate ?18809)) ?18810)) ?18809)) (negate (negate ?18809))) =>= negate (add (negate (negate ?18809)) ?18810) [18810, 18809] by Super 29 with 17286 at 1,2,1,2
% 40.83/10.56 Id : 17779, {_}: negate (add (negate (negate ?18809)) (negate (add (negate (add (negate (negate ?18809)) ?18810)) ?18809))) =>= negate (add (negate (negate ?18809)) ?18810) [18810, 18809] by Demod 17653 with 2 at 1,2
% 40.83/10.56 Id : 17780, {_}: negate (add (negate (negate ?18809)) (negate (add (negate (add (negate (negate ?18809)) ?18810)) ?18809))) =>= negate (add ?18809 ?18810) [18810, 18809] by Demod 17779 with 14876 at 1,1,3
% 40.83/10.56 Id : 17781, {_}: negate (add ?18809 (negate (add (negate (add (negate (negate ?18809)) ?18810)) ?18809))) =>= negate (add ?18809 ?18810) [18810, 18809] by Demod 17780 with 14876 at 1,1,2
% 40.83/10.56 Id : 17782, {_}: negate (add ?18809 (negate (add ?18809 (negate (add (negate (negate ?18809)) ?18810))))) =>= negate (add ?18809 ?18810) [18810, 18809] by Demod 17781 with 2 at 1,2,1,2
% 40.83/10.56 Id : 17783, {_}: negate (add ?18809 (add (negate (negate ?18809)) ?18810)) =>= negate (add ?18809 ?18810) [18810, 18809] by Demod 17782 with 17422 at 2
% 40.83/10.56 Id : 17784, {_}: negate (add ?18809 (add ?18809 ?18810)) =>= negate (add ?18809 ?18810) [18810, 18809] by Demod 17783 with 14876 at 1,2,1,2
% 40.83/10.56 Id : 16398, {_}: negate (add (negate (add (add ?17204 (negate (negate ?17205))) ?17205)) (negate d)) =>= add ?17204 (negate (negate ?17205)) [17205, 17204] by Super 29 with 16377 at 1,2,1,2
% 40.83/10.56 Id : 16433, {_}: negate (add (negate d) (negate (add (add ?17204 (negate (negate ?17205))) ?17205))) =>= add ?17204 (negate (negate ?17205)) [17205, 17204] by Demod 16398 with 2 at 1,2
% 40.83/10.56 Id : 16434, {_}: negate (add (negate d) (negate (add (add ?17204 (negate (negate ?17205))) ?17205))) =>= add ?17204 ?17205 [17205, 17204] by Demod 16433 with 14876 at 2,3
% 40.83/10.56 Id : 16435, {_}: negate (add c (negate (add (add ?17204 (negate (negate ?17205))) ?17205))) =>= add ?17204 ?17205 [17205, 17204] by Demod 16434 with 5 at 1,1,2
% 40.83/10.56 Id : 16436, {_}: negate (add c (negate (add ?17205 (add ?17204 (negate (negate ?17205)))))) =>= add ?17204 ?17205 [17204, 17205] by Demod 16435 with 2 at 1,2,1,2
% 40.83/10.56 Id : 16437, {_}: negate (negate (add ?17205 (add ?17204 (negate (negate ?17205))))) =>= add ?17204 ?17205 [17204, 17205] by Demod 16436 with 14199 at 1,2
% 40.83/10.56 Id : 16438, {_}: add ?17205 (add ?17204 (negate (negate ?17205))) =>= add ?17204 ?17205 [17204, 17205] by Demod 16437 with 14876 at 2
% 40.83/10.56 Id : 16439, {_}: add ?17205 (add ?17204 ?17205) =>= add ?17204 ?17205 [17204, 17205] by Demod 16438 with 14876 at 2,2,2
% 40.83/10.56 Id : 16875, {_}: add ?18041 (add ?18041 ?18042) =>= add ?18042 ?18041 [18042, 18041] by Super 13 with 16439 at 3
% 40.83/10.56 Id : 17785, {_}: negate (add ?18810 ?18809) =?= negate (add ?18809 ?18810) [18809, 18810] by Demod 17784 with 16875 at 1,2
% 40.83/10.56 Id : 21421, {_}: negate (add ?23203 (negate (add (negate ?23204) ?23203))) =>= negate (add ?23203 ?23204) [23204, 23203] by Super 17422 with 17785 at 2,1,2
% 40.83/10.56 Id : 21712, {_}: negate (add ?23735 (negate (add ?23735 ?23736))) =<= negate (add ?23735 (add (negate ?23736) ?23735)) [23736, 23735] by Super 17422 with 21421 at 2,1,2
% 40.83/10.56 Id : 21789, {_}: negate (add ?23735 (negate (add ?23735 ?23736))) =>= negate (add (negate ?23736) ?23735) [23736, 23735] by Demod 21712 with 16439 at 1,3
% 40.83/10.56 Id : 23250, {_}: negate (negate (add (negate ?25331) ?25332)) =<= add ?25332 (negate (add ?25332 ?25331)) [25332, 25331] by Super 14876 with 21789 at 1,2
% 40.83/10.56 Id : 23332, {_}: add (negate ?25331) ?25332 =<= add ?25332 (negate (add ?25332 ?25331)) [25332, 25331] by Demod 23250 with 14876 at 2
% 40.83/10.56 Id : 43641, {_}: negate ?54396 =<= add (negate (add ?54396 (add ?54396 ?54397))) (negate (add (negate ?54397) ?54396)) [54397, 54396] by Super 43602 with 23332 at 1,2,3
% 40.83/10.56 Id : 44165, {_}: negate ?54396 =<= add (negate (add (negate ?54397) ?54396)) (negate (add ?54396 (add ?54396 ?54397))) [54397, 54396] by Demod 43641 with 2 at 3
% 40.83/10.56 Id : 44166, {_}: negate ?54396 =<= add (negate (add (negate ?54397) ?54396)) (negate (add ?54397 ?54396)) [54397, 54396] by Demod 44165 with 16875 at 1,2,3
% 40.83/10.56 Id : 44167, {_}: negate ?54396 =<= add (negate (add ?54397 ?54396)) (negate (add (negate ?54397) ?54396)) [54397, 54396] by Demod 44166 with 2 at 3
% 40.83/10.56 Id : 70222, {_}: b =?= b [] by Demod 70221 with 14876 at 2
% 40.83/10.56 Id : 70221, {_}: negate (negate b) =>= b [] by Demod 1 with 44167 at 2
% 40.83/10.56 Id : 1, {_}: add (negate (add a (negate b))) (negate (add (negate a) (negate b))) =>= b [] by prove_huntingtons_axiom
% 40.83/10.56 % SZS output end CNFRefutation for theBenchmark.p
% 40.83/10.56 14046: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 10.226266 using kbo
%------------------------------------------------------------------------------