TSTP Solution File: GRP501-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP501-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : Sat Jul 16 10:30:33 EDT 2022
% Result : Unsatisfiable 4.75s 1.50s
% Output : CNFRefutation 4.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP501-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : Tue Jun 14 00:27:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 17461: Facts:
% 0.12/0.34 17461: Id : 2, {_}:
% 0.12/0.34 double_divide (inverse ?2)
% 0.12/0.34 (inverse
% 0.12/0.34 (double_divide (inverse (double_divide ?2 (double_divide ?3 ?4)))
% 0.12/0.34 (double_divide ?5 (double_divide ?3 ?5))))
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.12/0.34 17461: Id : 3, {_}:
% 0.12/0.34 multiply ?7 ?8 =<= inverse (double_divide ?8 ?7)
% 0.12/0.34 [8, 7] by multiply ?7 ?8
% 0.12/0.34 17461: Goal:
% 0.12/0.34 17461: Id : 1, {_}:
% 0.12/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.34 [] by prove_these_axioms_3
% 4.75/1.50 Statistics :
% 4.75/1.50 Max weight : 42
% 4.75/1.50 Found proof, 1.166313s
% 4.75/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 4.75/1.50 % SZS output start CNFRefutation for theBenchmark.p
% 4.75/1.50 Id : 4, {_}: double_divide (inverse ?10) (inverse (double_divide (inverse (double_divide ?10 (double_divide ?11 ?12))) (double_divide ?13 (double_divide ?11 ?13)))) =>= ?12 [13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13
% 4.75/1.50 Id : 3, {_}: multiply ?7 ?8 =<= inverse (double_divide ?8 ?7) [8, 7] by multiply ?7 ?8
% 4.75/1.50 Id : 2, {_}: double_divide (inverse ?2) (inverse (double_divide (inverse (double_divide ?2 (double_divide ?3 ?4))) (double_divide ?5 (double_divide ?3 ?5)))) =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 4.75/1.50 Id : 11, {_}: multiply ?37 ?38 =<= inverse (double_divide ?38 ?37) [38, 37] by multiply ?37 ?38
% 4.75/1.50 Id : 8, {_}: double_divide (inverse ?2) (multiply (double_divide ?5 (double_divide ?3 ?5)) (inverse (double_divide ?2 (double_divide ?3 ?4)))) =>= ?4 [4, 3, 5, 2] by Demod 2 with 3 at 2,2
% 4.75/1.50 Id : 9, {_}: double_divide (inverse ?2) (multiply (double_divide ?5 (double_divide ?3 ?5)) (multiply (double_divide ?3 ?4) ?2)) =>= ?4 [4, 3, 5, 2] by Demod 8 with 3 at 2,2,2
% 4.75/1.50 Id : 12, {_}: multiply (multiply (double_divide ?40 (double_divide ?41 ?40)) (multiply (double_divide ?41 ?42) ?43)) (inverse ?43) =>= inverse ?42 [43, 42, 41, 40] by Super 11 with 9 at 1,3
% 4.75/1.50 Id : 6, {_}: double_divide (inverse ?22) (inverse (double_divide (inverse (double_divide ?22 ?23)) (double_divide ?24 (double_divide (inverse ?25) ?24)))) =?= inverse (double_divide (inverse (double_divide ?25 (double_divide ?26 ?23))) (double_divide ?27 (double_divide ?26 ?27))) [27, 26, 25, 24, 23, 22] by Super 4 with 2 at 2,1,1,1,2,2
% 4.75/1.50 Id : 61, {_}: double_divide (inverse ?22) (multiply (double_divide ?24 (double_divide (inverse ?25) ?24)) (inverse (double_divide ?22 ?23))) =?= inverse (double_divide (inverse (double_divide ?25 (double_divide ?26 ?23))) (double_divide ?27 (double_divide ?26 ?27))) [27, 26, 23, 25, 24, 22] by Demod 6 with 3 at 2,2
% 4.75/1.50 Id : 62, {_}: double_divide (inverse ?22) (multiply (double_divide ?24 (double_divide (inverse ?25) ?24)) (inverse (double_divide ?22 ?23))) =?= multiply (double_divide ?27 (double_divide ?26 ?27)) (inverse (double_divide ?25 (double_divide ?26 ?23))) [26, 27, 23, 25, 24, 22] by Demod 61 with 3 at 3
% 4.75/1.50 Id : 63, {_}: double_divide (inverse ?22) (multiply (double_divide ?24 (double_divide (inverse ?25) ?24)) (multiply ?23 ?22)) =?= multiply (double_divide ?27 (double_divide ?26 ?27)) (inverse (double_divide ?25 (double_divide ?26 ?23))) [26, 27, 23, 25, 24, 22] by Demod 62 with 3 at 2,2,2
% 4.75/1.50 Id : 64, {_}: double_divide (inverse ?22) (multiply (double_divide ?24 (double_divide (inverse ?25) ?24)) (multiply ?23 ?22)) =?= multiply (double_divide ?27 (double_divide ?26 ?27)) (multiply (double_divide ?26 ?23) ?25) [26, 27, 23, 25, 24, 22] by Demod 63 with 3 at 2,3
% 4.75/1.50 Id : 81, {_}: multiply (double_divide ?502 (double_divide ?503 ?502)) (multiply (double_divide ?503 (double_divide (inverse ?504) ?505)) ?504) =>= ?505 [505, 504, 503, 502] by Super 9 with 64 at 2
% 4.75/1.50 Id : 109, {_}: multiply (multiply (double_divide ?743 (double_divide ?744 ?743)) ?745) (inverse (multiply (double_divide ?746 (double_divide (inverse ?747) ?745)) ?747)) =>= inverse (double_divide ?746 ?744) [747, 746, 745, 744, 743] by Super 12 with 81 at 2,1,2
% 4.75/1.50 Id : 295, {_}: multiply (multiply (double_divide ?1913 (double_divide ?1914 ?1913)) ?1915) (inverse (multiply (double_divide ?1916 (double_divide (inverse ?1917) ?1915)) ?1917)) =>= multiply ?1914 ?1916 [1917, 1916, 1915, 1914, 1913] by Demod 109 with 3 at 3
% 4.75/1.50 Id : 309, {_}: multiply ?2032 (inverse (multiply (double_divide ?2033 (double_divide (inverse ?2034) (multiply (double_divide ?2035 (double_divide (inverse ?2036) ?2032)) ?2036))) ?2034)) =>= multiply ?2035 ?2033 [2036, 2035, 2034, 2033, 2032] by Super 295 with 81 at 1,2
% 4.75/1.50 Id : 80, {_}: double_divide (inverse ?497) (double_divide (inverse ?498) (multiply (double_divide ?499 (double_divide (inverse ?497) ?499)) (multiply ?500 ?498))) =>= ?500 [500, 499, 498, 497] by Super 9 with 64 at 2,2
% 4.75/1.50 Id : 274, {_}: double_divide (inverse (multiply (double_divide ?1752 (double_divide (inverse ?1753) ?1754)) ?1753)) (multiply (double_divide ?1755 (double_divide ?1756 ?1755)) ?1754) =>= double_divide ?1752 ?1756 [1756, 1755, 1754, 1753, 1752] by Super 9 with 81 at 2,2,2
% 4.75/1.50 Id : 631, {_}: double_divide (inverse (multiply (double_divide ?4417 (double_divide (inverse ?4418) (multiply (double_divide ?4419 (double_divide (inverse ?4420) ?4421)) ?4420))) ?4418)) ?4421 =>= double_divide ?4417 ?4419 [4421, 4420, 4419, 4418, 4417] by Super 274 with 81 at 2,2
% 4.75/1.50 Id : 111, {_}: double_divide (inverse (multiply (double_divide ?752 (double_divide (inverse ?753) ?754)) ?753)) (multiply (double_divide ?755 (double_divide ?756 ?755)) ?754) =>= double_divide ?752 ?756 [756, 755, 754, 753, 752] by Super 9 with 81 at 2,2,2
% 4.75/1.50 Id : 647, {_}: double_divide (inverse (multiply (double_divide ?4554 (double_divide ?4555 (inverse ?4556))) (multiply (double_divide ?4555 (double_divide (inverse ?4557) ?4556)) ?4557))) ?4558 =>= double_divide ?4554 ?4558 [4558, 4557, 4556, 4555, 4554] by Super 631 with 111 at 2,1,1,1,2
% 4.75/1.50 Id : 859, {_}: double_divide (inverse (multiply (double_divide ?6632 (double_divide ?6633 (inverse ?6634))) (multiply (double_divide ?6633 (double_divide (inverse ?6635) ?6634)) ?6635))) (double_divide (inverse ?6636) (multiply (double_divide ?6637 (double_divide ?6632 ?6637)) (multiply ?6638 ?6636))) =>= ?6638 [6638, 6637, 6636, 6635, 6634, 6633, 6632] by Super 80 with 647 at 2,1,2,2,2
% 4.75/1.50 Id : 927, {_}: double_divide ?6632 (double_divide (inverse ?6636) (multiply (double_divide ?6637 (double_divide ?6632 ?6637)) (multiply ?6638 ?6636))) =>= ?6638 [6638, 6637, 6636, 6632] by Demod 859 with 647 at 2
% 4.75/1.50 Id : 1109, {_}: multiply (double_divide (inverse ?7977) (multiply (double_divide ?7978 (double_divide ?7979 ?7978)) (multiply ?7980 ?7977))) ?7979 =>= inverse ?7980 [7980, 7979, 7978, 7977] by Super 3 with 927 at 1,3
% 4.75/1.50 Id : 1113, {_}: multiply (double_divide (inverse (multiply (double_divide ?8006 (double_divide (inverse ?8007) ?8008)) ?8007)) (multiply (double_divide ?8009 (double_divide ?8010 ?8009)) ?8008)) ?8010 =?= inverse (double_divide ?8011 (double_divide ?8006 ?8011)) [8011, 8010, 8009, 8008, 8007, 8006] by Super 1109 with 81 at 2,2,1,2
% 4.75/1.50 Id : 1146, {_}: multiply (double_divide ?8006 ?8010) ?8010 =?= inverse (double_divide ?8011 (double_divide ?8006 ?8011)) [8011, 8010, 8006] by Demod 1113 with 111 at 1,2
% 4.75/1.50 Id : 1147, {_}: multiply (double_divide ?8006 ?8010) ?8010 =?= multiply (double_divide ?8006 ?8011) ?8011 [8011, 8010, 8006] by Demod 1146 with 3 at 3
% 4.75/1.50 Id : 1192, {_}: double_divide (inverse ?8440) (multiply (double_divide ?8441 (double_divide ?8442 ?8441)) (multiply (double_divide ?8442 ?8443) ?8443)) =>= ?8440 [8443, 8442, 8441, 8440] by Super 9 with 1147 at 2,2,2
% 4.75/1.50 Id : 122, {_}: multiply (double_divide ?820 (double_divide ?821 ?820)) (multiply (double_divide ?821 (double_divide (inverse ?822) ?823)) ?822) =>= ?823 [823, 822, 821, 820] by Super 9 with 64 at 2
% 4.75/1.50 Id : 123, {_}: multiply (double_divide ?825 (double_divide ?826 ?825)) (multiply (double_divide ?826 (double_divide (multiply ?827 ?828) ?829)) (double_divide ?828 ?827)) =>= ?829 [829, 828, 827, 826, 825] by Super 122 with 3 at 1,2,1,2,2
% 4.75/1.50 Id : 10, {_}: double_divide (multiply ?31 ?32) (multiply (double_divide ?33 (double_divide ?34 ?33)) (multiply (double_divide ?34 ?35) (double_divide ?32 ?31))) =>= ?35 [35, 34, 33, 32, 31] by Super 9 with 3 at 1,2
% 4.75/1.50 Id : 2075, {_}: double_divide (multiply ?14421 ?14422) (multiply (double_divide ?14423 (double_divide ?14424 ?14423)) (multiply (double_divide ?14424 ?14425) ?14425)) =>= double_divide ?14422 ?14421 [14425, 14424, 14423, 14422, 14421] by Super 10 with 1147 at 2,2,2
% 4.75/1.50 Id : 2119, {_}: double_divide (multiply (double_divide ?14812 ?14813) ?14813) (multiply (double_divide ?14814 (double_divide ?14815 ?14814)) (multiply (double_divide ?14815 ?14816) ?14816)) =?= double_divide ?14817 (double_divide ?14812 ?14817) [14817, 14816, 14815, 14814, 14813, 14812] by Super 2075 with 1147 at 1,2
% 4.75/1.50 Id : 1182, {_}: double_divide (multiply ?8372 ?8373) (multiply (double_divide ?8374 (double_divide ?8375 ?8374)) (multiply (double_divide ?8375 ?8376) ?8376)) =>= double_divide ?8373 ?8372 [8376, 8375, 8374, 8373, 8372] by Super 10 with 1147 at 2,2,2
% 4.75/1.50 Id : 2157, {_}: double_divide ?14813 (double_divide ?14812 ?14813) =?= double_divide ?14817 (double_divide ?14812 ?14817) [14817, 14812, 14813] by Demod 2119 with 1182 at 2
% 4.75/1.50 Id : 2749, {_}: multiply (double_divide ?19453 (double_divide ?19454 ?19453)) (multiply (double_divide ?19455 (double_divide (inverse ?19456) ?19455)) ?19456) =>= ?19454 [19456, 19455, 19454, 19453] by Super 81 with 2157 at 1,2,2
% 4.75/1.50 Id : 1268, {_}: multiply (double_divide ?8970 (double_divide (inverse ?8971) (multiply (double_divide ?8972 ?8973) ?8973))) ?8971 =>= double_divide ?8970 ?8972 [8973, 8972, 8971, 8970] by Super 111 with 1192 at 2
% 4.75/1.50 Id : 2769, {_}: multiply (double_divide ?19607 (double_divide ?19608 ?19607)) (double_divide (multiply (double_divide ?19609 ?19610) ?19610) ?19609) =>= ?19608 [19610, 19609, 19608, 19607] by Super 2749 with 1268 at 2,2
% 4.75/1.50 Id : 2859, {_}: multiply (double_divide ?20075 (double_divide ?20076 ?20075)) (multiply ?20077 (multiply (double_divide ?20077 ?20078) ?20078)) =>= ?20076 [20078, 20077, 20076, 20075] by Super 123 with 2769 at 2,2
% 4.75/1.50 Id : 3022, {_}: double_divide ?20888 (double_divide (inverse (multiply (double_divide ?20889 ?20890) ?20890)) ?20888) =>= ?20889 [20890, 20889, 20888] by Super 927 with 2859 at 2,2,2
% 4.75/1.50 Id : 3885, {_}: double_divide (inverse ?28447) (multiply ?28448 (multiply (double_divide (inverse (multiply (double_divide ?28448 ?28449) ?28449)) ?28450) ?28450)) =>= ?28447 [28450, 28449, 28448, 28447] by Super 1192 with 3022 at 1,2,2
% 4.75/1.50 Id : 1009, {_}: multiply (double_divide (inverse ?7332) (multiply (double_divide ?7333 (double_divide ?7334 ?7333)) (multiply ?7335 ?7332))) ?7334 =>= inverse ?7335 [7335, 7334, 7333, 7332] by Super 3 with 927 at 1,3
% 4.75/1.50 Id : 2983, {_}: multiply (double_divide (inverse (multiply (double_divide ?20608 ?20609) ?20609)) ?20610) ?20610 =>= inverse ?20608 [20610, 20609, 20608] by Super 1009 with 2859 at 2,1,2
% 4.75/1.50 Id : 3963, {_}: double_divide (inverse ?28447) (multiply ?28448 (inverse ?28448)) =>= ?28447 [28448, 28447] by Demod 3885 with 2983 at 2,2,2
% 4.75/1.50 Id : 4015, {_}: multiply (multiply ?29164 (inverse ?29164)) (inverse (multiply (double_divide ?29165 (double_divide (inverse ?29166) (multiply (double_divide ?29167 ?29168) ?29168))) ?29166)) =>= multiply ?29167 ?29165 [29168, 29167, 29166, 29165, 29164] by Super 309 with 3963 at 2,1,2,2,1,1,2,2
% 4.75/1.50 Id : 4096, {_}: multiply (multiply ?29164 (inverse ?29164)) (inverse (double_divide ?29165 ?29167)) =>= multiply ?29167 ?29165 [29167, 29165, 29164] by Demod 4015 with 1268 at 1,2,2
% 4.75/1.50 Id : 5064, {_}: multiply (multiply ?35913 (inverse ?35913)) (multiply ?35914 ?35915) =>= multiply ?35914 ?35915 [35915, 35914, 35913] by Demod 4096 with 3 at 2,2
% 4.75/1.50 Id : 5068, {_}: multiply (multiply ?35938 (inverse ?35938)) ?35939 =?= multiply (double_divide ?35940 (double_divide ?35941 ?35940)) (multiply (double_divide ?35941 (double_divide (inverse ?35942) ?35939)) ?35942) [35942, 35941, 35940, 35939, 35938] by Super 5064 with 81 at 2,2
% 4.75/1.50 Id : 5175, {_}: multiply (multiply ?36232 (inverse ?36232)) ?36233 =>= ?36233 [36233, 36232] by Demod 5068 with 81 at 3
% 4.75/1.50 Id : 137, {_}: multiply (multiply (double_divide ?743 (double_divide ?744 ?743)) ?745) (inverse (multiply (double_divide ?746 (double_divide (inverse ?747) ?745)) ?747)) =>= multiply ?744 ?746 [747, 746, 745, 744, 743] by Demod 109 with 3 at 3
% 4.75/1.50 Id : 5224, {_}: multiply (multiply (inverse ?36372) ?36372) ?36373 =>= ?36373 [36373, 36372] by Super 5175 with 137 at 1,2
% 4.75/1.50 Id : 7348, {_}: multiply (multiply (multiply ?48651 ?48652) (double_divide ?48652 ?48651)) ?48653 =>= ?48653 [48653, 48652, 48651] by Super 5224 with 3 at 1,1,2
% 4.75/1.50 Id : 5120, {_}: multiply (multiply ?35938 (inverse ?35938)) ?35939 =>= ?35939 [35939, 35938] by Demod 5068 with 81 at 3
% 4.75/1.50 Id : 7419, {_}: multiply (double_divide (inverse ?49087) ?49087) ?49088 =>= ?49088 [49088, 49087] by Super 7348 with 5120 at 1,2
% 4.75/1.50 Id : 7505, {_}: multiply (double_divide ?49166 ?49167) ?49167 =>= inverse ?49166 [49167, 49166] by Super 2983 with 7419 at 2
% 4.75/1.50 Id : 7902, {_}: inverse (inverse ?50604) =>= ?50604 [50604] by Super 7419 with 7505 at 2
% 4.75/1.50 Id : 7904, {_}: inverse (multiply ?50608 ?50609) =>= double_divide ?50609 ?50608 [50609, 50608] by Super 7902 with 3 at 1,2
% 4.75/1.50 Id : 7645, {_}: double_divide ?20888 (double_divide (inverse (inverse ?20889)) ?20888) =>= ?20889 [20889, 20888] by Demod 3022 with 7505 at 1,1,2,2
% 4.75/1.50 Id : 7678, {_}: inverse (inverse ?49686) =>= ?49686 [49686] by Super 7419 with 7505 at 2
% 4.75/1.50 Id : 7795, {_}: double_divide ?20888 (double_divide ?20889 ?20888) =>= ?20889 [20889, 20888] by Demod 7645 with 7678 at 1,2,2
% 4.75/1.50 Id : 7832, {_}: multiply (multiply ?744 ?745) (inverse (multiply (double_divide ?746 (double_divide (inverse ?747) ?745)) ?747)) =>= multiply ?744 ?746 [747, 746, 745, 744] by Demod 137 with 7795 at 1,1,2
% 4.75/1.50 Id : 8259, {_}: multiply (multiply ?744 ?745) (double_divide ?747 (double_divide ?746 (double_divide (inverse ?747) ?745))) =>= multiply ?744 ?746 [746, 747, 745, 744] by Demod 7832 with 7904 at 2,2
% 4.75/1.50 Id : 8325, {_}: inverse (multiply ?53917 ?53918) =>= double_divide ?53918 ?53917 [53918, 53917] by Super 7902 with 3 at 1,2
% 4.75/1.50 Id : 7659, {_}: multiply (double_divide ?20075 (double_divide ?20076 ?20075)) (multiply ?20077 (inverse ?20077)) =>= ?20076 [20077, 20076, 20075] by Demod 2859 with 7505 at 2,2,2
% 4.75/1.50 Id : 7808, {_}: multiply ?20076 (multiply ?20077 (inverse ?20077)) =>= ?20076 [20077, 20076] by Demod 7659 with 7795 at 1,2
% 4.75/1.50 Id : 8335, {_}: inverse ?53950 =<= double_divide (multiply ?53951 (inverse ?53951)) ?53950 [53951, 53950] by Super 8325 with 7808 at 1,2
% 4.75/1.50 Id : 9818, {_}: multiply (multiply ?57297 ?57298) (double_divide ?57299 (inverse (double_divide (inverse ?57299) ?57298))) =?= multiply ?57297 (multiply ?57300 (inverse ?57300)) [57300, 57299, 57298, 57297] by Super 8259 with 8335 at 2,2,2
% 4.75/1.50 Id : 7656, {_}: multiply (double_divide ?8970 (double_divide (inverse ?8971) (inverse ?8972))) ?8971 =>= double_divide ?8970 ?8972 [8972, 8971, 8970] by Demod 1268 with 7505 at 2,2,1,2
% 4.75/1.50 Id : 8330, {_}: inverse ?53934 =<= double_divide ?53934 (double_divide (inverse ?53935) ?53935) [53935, 53934] by Super 8325 with 7419 at 1,2
% 4.75/1.50 Id : 9361, {_}: multiply (inverse ?56205) (inverse ?56206) =>= double_divide ?56205 ?56206 [56206, 56205] by Super 7656 with 8330 at 1,2
% 4.75/1.50 Id : 9362, {_}: multiply (inverse ?56208) ?56209 =<= double_divide ?56208 (inverse ?56209) [56209, 56208] by Super 9361 with 7678 at 2,2
% 4.75/1.50 Id : 9861, {_}: multiply (multiply ?57297 ?57298) (multiply (inverse ?57299) (double_divide (inverse ?57299) ?57298)) =?= multiply ?57297 (multiply ?57300 (inverse ?57300)) [57300, 57299, 57298, 57297] by Demod 9818 with 9362 at 2,2
% 4.75/1.50 Id : 9862, {_}: multiply (multiply ?57297 ?57298) (multiply (inverse ?57299) (double_divide (inverse ?57299) ?57298)) =>= ?57297 [57299, 57298, 57297] by Demod 9861 with 7808 at 3
% 4.75/1.50 Id : 1521, {_}: multiply (double_divide ?10973 (double_divide ?10974 ?10973)) (double_divide ?10974 ?10975) =?= multiply (double_divide ?10975 ?10976) ?10976 [10976, 10975, 10974, 10973] by Super 81 with 1268 at 2,2
% 4.75/1.50 Id : 7651, {_}: multiply (double_divide ?10973 (double_divide ?10974 ?10973)) (double_divide ?10974 ?10975) =>= inverse ?10975 [10975, 10974, 10973] by Demod 1521 with 7505 at 3
% 4.75/1.50 Id : 7806, {_}: multiply ?10974 (double_divide ?10974 ?10975) =>= inverse ?10975 [10975, 10974] by Demod 7651 with 7795 at 1,2
% 4.75/1.50 Id : 10984, {_}: multiply (multiply ?59634 ?59635) (inverse ?59635) =>= ?59634 [59635, 59634] by Demod 9862 with 7806 at 2,2
% 4.75/1.50 Id : 9383, {_}: multiply (double_divide ?8970 (multiply (inverse (inverse ?8971)) ?8972)) ?8971 =>= double_divide ?8970 ?8972 [8972, 8971, 8970] by Demod 7656 with 9362 at 2,1,2
% 4.75/1.50 Id : 9387, {_}: multiply (double_divide ?8970 (multiply ?8971 ?8972)) ?8971 =>= double_divide ?8970 ?8972 [8972, 8971, 8970] by Demod 9383 with 7678 at 1,2,1,2
% 4.75/1.50 Id : 11001, {_}: multiply (double_divide ?59694 ?59695) (inverse ?59696) =>= double_divide ?59694 (multiply ?59696 ?59695) [59696, 59695, 59694] by Super 10984 with 9387 at 1,2
% 4.75/1.51 Id : 11866, {_}: inverse (double_divide ?62531 (multiply ?62532 ?62533)) =<= double_divide (inverse ?62532) (double_divide ?62531 ?62533) [62533, 62532, 62531] by Super 7904 with 11001 at 1,2
% 4.75/1.51 Id : 11955, {_}: multiply (multiply ?62532 ?62533) ?62531 =<= double_divide (inverse ?62532) (double_divide ?62531 ?62533) [62531, 62533, 62532] by Demod 11866 with 3 at 2
% 4.75/1.51 Id : 7825, {_}: multiply ?503 (multiply (double_divide ?503 (double_divide (inverse ?504) ?505)) ?504) =>= ?505 [505, 504, 503] by Demod 81 with 7795 at 1,2
% 4.75/1.51 Id : 10269, {_}: multiply ?58091 (multiply (inverse ?58091) ?58092) =>= ?58092 [58092, 58091] by Super 7825 with 8330 at 1,2,2
% 4.75/1.51 Id : 10274, {_}: multiply ?58108 (inverse ?58109) =<= double_divide (inverse ?58108) ?58109 [58109, 58108] by Super 10269 with 7806 at 2,2
% 4.75/1.51 Id : 11956, {_}: multiply (multiply ?62532 ?62533) ?62531 =<= multiply ?62532 (inverse (double_divide ?62531 ?62533)) [62531, 62533, 62532] by Demod 11955 with 10274 at 3
% 4.75/1.51 Id : 11957, {_}: multiply (multiply ?62532 ?62533) ?62531 =>= multiply ?62532 (multiply ?62533 ?62531) [62531, 62533, 62532] by Demod 11956 with 3 at 2,3
% 4.75/1.51 Id : 12296, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 11957 at 2
% 4.75/1.51 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 4.75/1.51 % SZS output end CNFRefutation for theBenchmark.p
% 4.75/1.51 17462: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.170393 using kbo
%------------------------------------------------------------------------------