TSTP Solution File: ROB003-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : ROB003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n019.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 19.87s 5.31s
% Output : CNFRefutation 19.87s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ROB003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 13:17:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 20471: Facts:
% 0.13/0.34 20471: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.13/0.34 20471: Id : 3, {_}:
% 0.13/0.34 add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
% 0.13/0.34 [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 0.13/0.34 20471: Id : 4, {_}:
% 0.13/0.34 negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
% 0.13/0.34 =>=
% 0.13/0.34 ?9
% 0.13/0.34 [10, 9] by robbins_axiom ?9 ?10
% 0.13/0.34 20471: Id : 5, {_}: add ?12 c =>= c [12] by there_exists_a_constant ?12
% 0.13/0.34 20471: Goal:
% 0.13/0.34 20471: Id : 1, {_}:
% 0.13/0.34 add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
% 0.13/0.34 =>=
% 0.13/0.34 b
% 0.13/0.34 [] by prove_huntingtons_axiom
% 19.87/5.31 Statistics :
% 19.87/5.31 Max weight : 18
% 19.87/5.31 Found proof, 4.973217s
% 19.87/5.31 % SZS status Unsatisfiable for theBenchmark.p
% 19.87/5.31 % SZS output start CNFRefutation for theBenchmark.p
% 19.87/5.31 Id : 13, {_}: add (add ?37 ?38) ?39 =>= add ?37 (add ?38 ?39) [39, 38, 37] by associativity_of_add ?37 ?38 ?39
% 19.87/5.31 Id : 5, {_}: add ?12 c =>= c [12] by there_exists_a_constant ?12
% 19.87/5.31 Id : 4, {_}: negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10)))) =>= ?9 [10, 9] by robbins_axiom ?9 ?10
% 19.87/5.31 Id : 3, {_}: add (add ?5 ?6) ?7 =>= add ?5 (add ?6 ?7) [7, 6, 5] by associativity_of_add ?5 ?6 ?7
% 19.87/5.31 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 19.87/5.31 Id : 25, {_}: negate (add (negate (add ?66 ?67)) (negate (add ?66 (negate ?67)))) =>= ?66 [67, 66] by robbins_axiom ?66 ?67
% 19.87/5.31 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
% 19.87/5.31 Id : 315, {_}: negate (add (negate c) (negate (add ?584 (negate c)))) =>= ?584 [584] by Super 4 with 5 at 1,1,1,2
% 19.87/5.31 Id : 320, {_}: negate (add (negate c) (negate (add (negate c) ?594))) =>= ?594 [594] by Super 315 with 2 at 1,2,1,2
% 19.87/5.31 Id : 42, {_}: add c ?107 =>= c [107] by Super 2 with 5 at 3
% 19.87/5.31 Id : 119, {_}: negate (add (negate (add c ?274)) (negate c)) =>= c [274] by Super 4 with 42 at 1,2,1,2
% 19.87/5.31 Id : 152, {_}: negate (add (negate c) (negate (add c ?274))) =>= c [274] by Demod 119 with 2 at 1,2
% 19.87/5.31 Id : 153, {_}: negate (add (negate c) (negate c)) =>= c [] by Demod 152 with 42 at 1,2,1,2
% 19.87/5.31 Id : 166, {_}: negate (add (negate (add ?316 (add (negate c) (negate c)))) (negate (add ?316 c))) =>= ?316 [316] by Super 4 with 153 at 2,1,2,1,2
% 19.87/5.31 Id : 177, {_}: negate (add (negate (add ?316 c)) (negate (add ?316 (add (negate c) (negate c))))) =>= ?316 [316] by Demod 166 with 2 at 1,2
% 19.87/5.31 Id : 742, {_}: negate (add (negate c) (negate (add ?1100 (add (negate c) (negate c))))) =>= ?1100 [1100] by Demod 177 with 5 at 1,1,1,2
% 19.87/5.31 Id : 753, {_}: negate (add (negate c) (negate (add (add (negate c) (negate c)) ?1122))) =>= ?1122 [1122] by Super 742 with 2 at 1,2,1,2
% 19.87/5.31 Id : 790, {_}: negate (add (negate c) (negate (add (negate c) (add (negate c) ?1122)))) =>= ?1122 [1122] by Demod 753 with 3 at 1,2,1,2
% 19.87/5.31 Id : 791, {_}: add (negate c) ?1122 =>= ?1122 [1122] by Demod 790 with 320 at 2
% 19.87/5.31 Id : 1048, {_}: negate (negate (add (negate c) ?594)) =>= ?594 [594] by Demod 320 with 791 at 1,2
% 19.87/5.31 Id : 1049, {_}: negate (negate ?594) =>= ?594 [594] by Demod 1048 with 791 at 1,1,2
% 19.87/5.31 Id : 1076, {_}: negate (add (negate ?1408) (negate (add (negate ?1408) (negate c)))) =>= negate c [1408] by Super 27 with 791 at 1,1,1,2
% 19.87/5.31 Id : 44, {_}: negate (add (negate c) (negate (add ?111 (negate c)))) =>= ?111 [111] by Super 4 with 5 at 1,1,1,2
% 19.87/5.31 Id : 1050, {_}: negate (negate (add ?111 (negate c))) =>= ?111 [111] by Demod 44 with 791 at 1,2
% 19.87/5.31 Id : 1053, {_}: add ?111 (negate c) =>= ?111 [111] by Demod 1050 with 1049 at 2
% 19.87/5.31 Id : 1095, {_}: negate (add (negate ?1408) (negate (negate ?1408))) =>= negate c [1408] by Demod 1076 with 1053 at 1,2,1,2
% 19.87/5.31 Id : 1096, {_}: negate (add (negate ?1408) ?1408) =>= negate c [1408] by Demod 1095 with 1049 at 2,1,2
% 19.87/5.31 Id : 1097, {_}: negate (add ?1408 (negate ?1408)) =>= negate c [1408] by Demod 1096 with 2 at 1,2
% 19.87/5.31 Id : 1138, {_}: negate (negate c) =<= add ?1440 (negate ?1440) [1440] by Super 1049 with 1097 at 1,2
% 19.87/5.31 Id : 1189, {_}: c =<= add ?1440 (negate ?1440) [1440] by Demod 1138 with 1049 at 2
% 19.87/5.31 Id : 1273, {_}: c =<= add ?1570 (add ?1571 (negate (add ?1570 ?1571))) [1571, 1570] by Super 3 with 1189 at 2
% 19.87/5.31 Id : 3682, {_}: negate (add (negate (add (add ?4632 (negate (add (negate ?4633) ?4632))) ?4633)) (negate c)) =>= add ?4632 (negate (add (negate ?4633) ?4632)) [4633, 4632] by Super 27 with 1273 at 1,2,1,2
% 19.87/5.31 Id : 3757, {_}: negate (add (negate c) (negate (add (add ?4632 (negate (add (negate ?4633) ?4632))) ?4633))) =>= add ?4632 (negate (add (negate ?4633) ?4632)) [4633, 4632] by Demod 3682 with 2 at 1,2
% 19.87/5.31 Id : 3758, {_}: negate (negate (add (add ?4632 (negate (add (negate ?4633) ?4632))) ?4633)) =>= add ?4632 (negate (add (negate ?4633) ?4632)) [4633, 4632] by Demod 3757 with 791 at 1,2
% 19.87/5.31 Id : 3759, {_}: add (add ?4632 (negate (add (negate ?4633) ?4632))) ?4633 =>= add ?4632 (negate (add (negate ?4633) ?4632)) [4633, 4632] by Demod 3758 with 1049 at 2
% 19.87/5.31 Id : 3760, {_}: add ?4633 (add ?4632 (negate (add (negate ?4633) ?4632))) =>= add ?4632 (negate (add (negate ?4633) ?4632)) [4632, 4633] by Demod 3759 with 2 at 2
% 19.87/5.31 Id : 14, {_}: add (add ?41 ?42) ?43 =>= add ?42 (add ?41 ?43) [43, 42, 41] by Super 13 with 2 at 1,2
% 19.87/5.31 Id : 20, {_}: add ?41 (add ?42 ?43) =?= add ?42 (add ?41 ?43) [43, 42, 41] by Demod 14 with 3 at 2
% 19.87/5.31 Id : 11, {_}: add ?29 (add ?30 ?31) =?= add ?30 (add ?31 ?29) [31, 30, 29] by Super 2 with 3 at 3
% 19.87/5.31 Id : 1274, {_}: add (negate ?1573) (add ?1574 ?1573) =>= add ?1574 c [1574, 1573] by Super 11 with 1189 at 2,3
% 19.87/5.31 Id : 1300, {_}: add ?1573 (add (negate ?1573) ?1574) =>= add ?1574 c [1574, 1573] by Demod 1274 with 11 at 2
% 19.87/5.31 Id : 1301, {_}: add ?1573 (add (negate ?1573) ?1574) =>= c [1574, 1573] by Demod 1300 with 5 at 3
% 19.87/5.31 Id : 1713, {_}: negate (add (negate c) (negate (add (negate (add (negate ?2052) ?2053)) ?2052))) =>= ?2052 [2053, 2052] by Super 27 with 1301 at 1,1,1,2
% 19.87/5.31 Id : 1759, {_}: negate (negate (add (negate (add (negate ?2052) ?2053)) ?2052)) =>= ?2052 [2053, 2052] by Demod 1713 with 791 at 1,2
% 19.87/5.31 Id : 1760, {_}: add (negate (add (negate ?2052) ?2053)) ?2052 =>= ?2052 [2053, 2052] by Demod 1759 with 1049 at 2
% 19.87/5.31 Id : 1761, {_}: add ?2052 (negate (add (negate ?2052) ?2053)) =>= ?2052 [2053, 2052] by Demod 1760 with 2 at 2
% 19.87/5.31 Id : 1974, {_}: add ?2312 (add ?2313 (negate (add (negate ?2312) ?2314))) =>= add ?2313 ?2312 [2314, 2313, 2312] by Super 20 with 1761 at 2,3
% 19.87/5.31 Id : 11287, {_}: add ?15527 ?15528 =<= add ?15527 (negate (add (negate ?15528) ?15527)) [15528, 15527] by Demod 3760 with 1974 at 2
% 19.87/5.31 Id : 11747, {_}: add ?15966 (negate ?15967) =<= add ?15966 (negate (add ?15967 ?15966)) [15967, 15966] by Super 11287 with 1049 at 1,1,2,3
% 19.87/5.31 Id : 12143, {_}: add ?16382 (negate ?16383) =<= add ?16382 (negate (add ?16382 ?16383)) [16383, 16382] by Super 11747 with 2 at 1,2,3
% 19.87/5.31 Id : 12175, {_}: add ?16491 (negate (add ?16492 ?16493)) =<= add ?16491 (negate (add ?16493 (add ?16491 ?16492))) [16493, 16492, 16491] by Super 12143 with 11 at 1,2,3
% 19.87/5.31 Id : 12148, {_}: add ?16398 (negate (add ?16399 ?16400)) =<= add ?16398 (negate (add ?16399 (add ?16398 ?16400))) [16400, 16399, 16398] by Super 12143 with 20 at 1,2,3
% 19.87/5.31 Id : 16687, {_}: add ?16491 (negate (add ?16492 ?16493)) =?= add ?16491 (negate (add ?16493 ?16492)) [16493, 16492, 16491] by Demod 12175 with 12148 at 3
% 19.87/5.31 Id : 11294, {_}: add ?15554 (negate ?15555) =<= add ?15554 (negate (add ?15555 ?15554)) [15555, 15554] by Super 11287 with 1049 at 1,1,2,3
% 19.87/5.31 Id : 11791, {_}: add (negate (add ?16120 ?16121)) (negate ?16121) =<= add (negate (add ?16120 ?16121)) (negate (add ?16121 (negate ?16120))) [16121, 16120] by Super 11747 with 11294 at 1,2,3
% 19.87/5.31 Id : 12035, {_}: add (negate ?16121) (negate (add ?16120 ?16121)) =<= add (negate (add ?16120 ?16121)) (negate (add ?16121 (negate ?16120))) [16120, 16121] by Demod 11791 with 2 at 2
% 19.87/5.31 Id : 1266, {_}: add ?1554 (add ?1555 (negate ?1554)) =>= add ?1555 c [1555, 1554] by Super 20 with 1189 at 2,3
% 19.87/5.31 Id : 1315, {_}: add ?1554 (add ?1555 (negate ?1554)) =>= c [1555, 1554] by Demod 1266 with 5 at 3
% 19.87/5.31 Id : 1833, {_}: negate (add (negate c) (negate (add ?2171 (negate (add ?2172 (negate ?2171)))))) =>= ?2171 [2172, 2171] by Super 4 with 1315 at 1,1,1,2
% 19.87/5.31 Id : 1896, {_}: negate (negate (add ?2171 (negate (add ?2172 (negate ?2171))))) =>= ?2171 [2172, 2171] by Demod 1833 with 791 at 1,2
% 19.87/5.31 Id : 2111, {_}: add ?2494 (negate (add ?2495 (negate ?2494))) =>= ?2494 [2495, 2494] by Demod 1896 with 1049 at 2
% 19.87/5.31 Id : 2116, {_}: add (negate ?2511) (negate (add ?2512 ?2511)) =>= negate ?2511 [2512, 2511] by Super 2111 with 1049 at 2,1,2,2
% 19.87/5.31 Id : 12036, {_}: negate ?16121 =<= add (negate (add ?16120 ?16121)) (negate (add ?16121 (negate ?16120))) [16120, 16121] by Demod 12035 with 2116 at 2
% 19.87/5.31 Id : 30786, {_}: add (negate (add ?45394 ?45395)) (negate (add (negate ?45394) ?45395)) =>= negate ?45395 [45395, 45394] by Super 16687 with 12036 at 3
% 19.87/5.31 Id : 40303, {_}: b =?= b [] by Demod 40302 with 1049 at 2
% 19.87/5.31 Id : 40302, {_}: negate (negate b) =>= b [] by Demod 1 with 30786 at 2
% 19.87/5.31 Id : 1, {_}: add (negate (add a (negate b))) (negate (add (negate a) (negate b))) =>= b [] by prove_huntingtons_axiom
% 19.87/5.31 % SZS output end CNFRefutation for theBenchmark.p
% 19.87/5.31 20472: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 4.975738 using kbo
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