%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : RNG026-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n029.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 20:35:30 EDT 2022

% Result   : Unsatisfiable 135.00s 34.09s
% Output   : CNFRefutation 135.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG026-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33  % Computer : n029.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 : Mon May 30 09:27:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  22261: Facts:
% 0.12/0.34  22261:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 0.12/0.34  22261:  Id :   3, {_}:
% 0.12/0.34            add ?4 additive_identity =>= ?4
% 0.12/0.34            [4] by right_additive_identity ?4
% 0.12/0.34  22261:  Id :   4, {_}:
% 0.12/0.34            multiply additive_identity ?6 =>= additive_identity
% 0.12/0.34            [6] by left_multiplicative_zero ?6
% 0.12/0.34  22261:  Id :   5, {_}:
% 0.12/0.34            multiply ?8 additive_identity =>= additive_identity
% 0.12/0.34            [8] by right_multiplicative_zero ?8
% 0.12/0.34  22261:  Id :   6, {_}:
% 0.12/0.34            add (additive_inverse ?10) ?10 =>= additive_identity
% 0.12/0.34            [10] by left_additive_inverse ?10
% 0.12/0.34  22261:  Id :   7, {_}:
% 0.12/0.34            add ?12 (additive_inverse ?12) =>= additive_identity
% 0.12/0.34            [12] by right_additive_inverse ?12
% 0.12/0.34  22261:  Id :   8, {_}:
% 0.12/0.34            additive_inverse (additive_inverse ?14) =>= ?14
% 0.12/0.34            [14] by additive_inverse_additive_inverse ?14
% 0.12/0.34  22261:  Id :   9, {_}:
% 0.12/0.34            multiply ?16 (add ?17 ?18)
% 0.12/0.34            =<=
% 0.12/0.34            add (multiply ?16 ?17) (multiply ?16 ?18)
% 0.12/0.34            [18, 17, 16] by distribute1 ?16 ?17 ?18
% 0.12/0.34  22261:  Id :  10, {_}:
% 0.12/0.34            multiply (add ?20 ?21) ?22
% 0.12/0.34            =<=
% 0.12/0.34            add (multiply ?20 ?22) (multiply ?21 ?22)
% 0.12/0.34            [22, 21, 20] by distribute2 ?20 ?21 ?22
% 0.12/0.34  22261:  Id :  11, {_}:
% 0.12/0.34            add ?24 ?25 =?= add ?25 ?24
% 0.12/0.34            [25, 24] by commutativity_for_addition ?24 ?25
% 0.12/0.34  22261:  Id :  12, {_}:
% 0.12/0.34            add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
% 0.12/0.34            [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
% 0.12/0.34  22261:  Id :  13, {_}:
% 0.12/0.34            multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
% 0.12/0.34            [32, 31] by right_alternative ?31 ?32
% 0.12/0.34  22261:  Id :  14, {_}:
% 0.12/0.34            multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
% 0.12/0.34            [35, 34] by left_alternative ?34 ?35
% 0.12/0.34  22261:  Id :  15, {_}:
% 0.12/0.34            associator ?37 ?38 ?39
% 0.12/0.34            =<=
% 0.12/0.34            add (multiply (multiply ?37 ?38) ?39)
% 0.12/0.34              (additive_inverse (multiply ?37 (multiply ?38 ?39)))
% 0.12/0.34            [39, 38, 37] by associator ?37 ?38 ?39
% 0.12/0.34  22261:  Id :  16, {_}:
% 0.12/0.34            commutator ?41 ?42
% 0.12/0.34            =<=
% 0.12/0.34            add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
% 0.12/0.34            [42, 41] by commutator ?41 ?42
% 0.12/0.34  22261: Goal:
% 0.12/0.34  22261:  Id :   1, {_}:
% 0.12/0.34            add
% 0.12/0.34              (add (associator (multiply a b) c d)
% 0.12/0.34                (associator a b (multiply c d)))
% 0.12/0.34              (additive_inverse
% 0.12/0.34                (add
% 0.12/0.34                  (add (associator a (multiply b c) d)
% 0.12/0.34                    (multiply a (associator b c d)))
% 0.12/0.34                  (multiply (associator a b c) d)))
% 0.12/0.34            =>=
% 0.12/0.34            additive_identity
% 0.12/0.34            [] by prove_teichmuller_identity
% 135.00/34.08  Statistics :
% 135.00/34.08  Max weight : 90
% 135.00/34.08  Found proof, 33.745527s
% 135.00/34.09  % SZS status Unsatisfiable for theBenchmark.p
% 135.00/34.09  % SZS output start CNFRefutation for theBenchmark.p
% 135.00/34.09  Id :  10, {_}: multiply (add ?20 ?21) ?22 =>= add (multiply ?20 ?22) (multiply ?21 ?22) [22, 21, 20] by distribute2 ?20 ?21 ?22
% 135.00/34.09  Id :   9, {_}: multiply ?16 (add ?17 ?18) =>= add (multiply ?16 ?17) (multiply ?16 ?18) [18, 17, 16] by distribute1 ?16 ?17 ?18
% 135.00/34.09  Id :   4, {_}: multiply additive_identity ?6 =>= additive_identity [6] by left_multiplicative_zero ?6
% 135.00/34.09  Id :  66, {_}: multiply (add ?116 ?117) ?118 =>= add (multiply ?116 ?118) (multiply ?117 ?118) [118, 117, 116] by distribute2 ?116 ?117 ?118
% 135.00/34.09  Id :   3, {_}: add ?4 additive_identity =>= ?4 [4] by right_additive_identity ?4
% 135.00/34.09  Id :   5, {_}: multiply ?8 additive_identity =>= additive_identity [8] by right_multiplicative_zero ?8
% 135.00/34.09  Id :   6, {_}: add (additive_inverse ?10) ?10 =>= additive_identity [10] by left_additive_inverse ?10
% 135.00/34.09  Id :  45, {_}: multiply ?85 (add ?86 ?87) =>= add (multiply ?85 ?86) (multiply ?85 ?87) [87, 86, 85] by distribute1 ?85 ?86 ?87
% 135.00/34.09  Id :  15, {_}: associator ?37 ?38 ?39 =>= add (multiply (multiply ?37 ?38) ?39) (additive_inverse (multiply ?37 (multiply ?38 ?39))) [39, 38, 37] by associator ?37 ?38 ?39
% 135.00/34.09  Id :  12, {_}: add ?27 (add ?28 ?29) =<= add (add ?27 ?28) ?29 [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
% 135.00/34.09  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
% 135.00/34.09  Id :   7, {_}: add ?12 (additive_inverse ?12) =>= additive_identity [12] by right_additive_inverse ?12
% 135.00/34.09  Id : 137, {_}: add ?217 (add ?218 ?219) =<= add (add ?217 ?218) ?219 [219, 218, 217] by associativity_for_addition ?217 ?218 ?219
% 135.00/34.09  Id :   8, {_}: additive_inverse (additive_inverse ?14) =>= ?14 [14] by additive_inverse_additive_inverse ?14
% 135.00/34.09  Id :  11, {_}: add ?24 ?25 =?= add ?25 ?24 [25, 24] by commutativity_for_addition ?24 ?25
% 135.00/34.09  Id : 140, {_}: add ?227 (add (additive_inverse ?227) ?228) =>= add additive_identity ?228 [228, 227] by Super 137 with 7 at 1,3
% 135.00/34.09  Id : 160, {_}: add ?227 (add (additive_inverse ?227) ?228) =>= ?228 [228, 227] by Demod 140 with 2 at 3
% 135.00/34.09  Id : 555, {_}: add ?506 (add (additive_inverse ?506) ?507) =>= ?507 [507, 506] by Demod 140 with 2 at 3
% 135.00/34.09  Id : 606, {_}: add (additive_inverse ?553) (add ?553 ?554) =>= ?554 [554, 553] by Super 555 with 8 at 1,2,2
% 135.00/34.09  Id : 1232, {_}: add (additive_inverse ?1152) (add ?1153 ?1152) =>= ?1153 [1153, 1152] by Super 606 with 11 at 2,2
% 135.00/34.09  Id : 610, {_}: add (additive_inverse ?562) (add ?563 ?562) =>= ?563 [563, 562] by Super 606 with 11 at 2,2
% 135.00/34.09  Id : 1240, {_}: add (additive_inverse (add ?1173 ?1174)) ?1173 =>= additive_inverse ?1174 [1174, 1173] by Super 1232 with 610 at 2,2
% 135.00/34.09  Id : 1270, {_}: add ?1173 (additive_inverse (add ?1173 ?1174)) =>= additive_inverse ?1174 [1174, 1173] by Demod 1240 with 11 at 2
% 135.00/34.09  Id : 1384, {_}: add ?1298 (additive_inverse ?1299) =<= additive_inverse (add (additive_inverse ?1298) ?1299) [1299, 1298] by Super 160 with 1270 at 2,2
% 135.00/34.09  Id : 1474, {_}: additive_inverse (add ?1407 (additive_inverse ?1408)) =<= add (additive_inverse ?1407) ?1408 [1408, 1407] by Super 8 with 1384 at 1,2
% 135.00/34.09  Id : 304, {_}: associator ?37 ?38 ?39 =>= add (additive_inverse (multiply ?37 (multiply ?38 ?39))) (multiply (multiply ?37 ?38) ?39) [39, 38, 37] by Demod 15 with 11 at 3
% 135.00/34.09  Id : 1557, {_}: associator ?37 ?38 ?39 =>= additive_inverse (add (multiply ?37 (multiply ?38 ?39)) (additive_inverse (multiply (multiply ?37 ?38) ?39))) [39, 38, 37] by Demod 304 with 1474 at 3
% 135.00/34.09  Id :  48, {_}: multiply ?95 additive_identity =<= add (multiply ?95 (additive_inverse ?96)) (multiply ?95 ?96) [96, 95] by Super 45 with 6 at 2,2
% 135.00/34.09  Id :  59, {_}: additive_identity =<= add (multiply ?95 (additive_inverse ?96)) (multiply ?95 ?96) [96, 95] by Demod 48 with 5 at 2
% 135.00/34.09  Id : 432, {_}: additive_identity =<= add (multiply ?95 ?96) (multiply ?95 (additive_inverse ?96)) [96, 95] by Demod 59 with 11 at 3
% 135.00/34.09  Id : 616, {_}: add (additive_inverse (multiply ?581 ?582)) additive_identity =<= multiply ?581 (additive_inverse ?582) [582, 581] by Super 606 with 432 at 2,2
% 135.00/34.09  Id : 633, {_}: additive_inverse (multiply ?581 ?582) =<= multiply ?581 (additive_inverse ?582) [582, 581] by Demod 616 with 3 at 2
% 135.00/34.09  Id : 556, {_}: add (additive_inverse ?509) (add ?509 ?510) =>= ?510 [510, 509] by Super 555 with 8 at 1,2,2
% 135.00/34.09  Id : 1238, {_}: add (additive_inverse (add ?1167 ?1168)) ?1168 =>= additive_inverse ?1167 [1168, 1167] by Super 1232 with 556 at 2,2
% 135.00/34.09  Id : 1268, {_}: add ?1168 (additive_inverse (add ?1167 ?1168)) =>= additive_inverse ?1167 [1167, 1168] by Demod 1238 with 11 at 2
% 135.00/34.09  Id :  69, {_}: multiply additive_identity ?126 =<= add (multiply (additive_inverse ?127) ?126) (multiply ?127 ?126) [127, 126] by Super 66 with 6 at 1,2
% 135.00/34.09  Id :  85, {_}: additive_identity =<= add (multiply (additive_inverse ?127) ?126) (multiply ?127 ?126) [126, 127] by Demod 69 with 4 at 2
% 135.00/34.09  Id : 1682, {_}: additive_identity =<= add (multiply ?127 ?126) (multiply (additive_inverse ?127) ?126) [126, 127] by Demod 85 with 11 at 3
% 135.00/34.09  Id : 1683, {_}: add (multiply (additive_inverse ?1538) ?1539) (additive_inverse additive_identity) =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Super 1268 with 1682 at 1,2,2
% 135.00/34.09  Id : 1718, {_}: add (additive_inverse additive_identity) (multiply (additive_inverse ?1538) ?1539) =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Demod 1683 with 11 at 2
% 135.00/34.09  Id : 1719, {_}: additive_inverse (add additive_identity (additive_inverse (multiply (additive_inverse ?1538) ?1539))) =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Demod 1718 with 1474 at 2
% 135.00/34.09  Id : 1720, {_}: additive_inverse (additive_inverse (multiply (additive_inverse ?1538) ?1539)) =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Demod 1719 with 2 at 1,2
% 135.00/34.09  Id : 1721, {_}: multiply (additive_inverse ?1538) ?1539 =>= additive_inverse (multiply ?1538 ?1539) [1539, 1538] by Demod 1720 with 8 at 2
% 135.00/34.09  Id : 560, {_}: add ?518 (add ?519 (additive_inverse ?518)) =>= ?519 [519, 518] by Super 555 with 11 at 2,2
% 135.00/34.09  Id : 1226, {_}: add (additive_inverse ?1132) (add (add ?1133 ?1132) ?1134) =>= add ?1133 ?1134 [1134, 1133, 1132] by Super 12 with 610 at 1,3
% 135.00/34.09  Id : 1258, {_}: add (additive_inverse ?1132) (add ?1133 (add ?1132 ?1134)) =>= add ?1133 ?1134 [1134, 1133, 1132] by Demod 1226 with 12 at 2,2
% 135.00/34.09  Id : 3816, {_}: additive_inverse (add ?1132 (additive_inverse (add ?1133 (add ?1132 ?1134)))) =>= add ?1133 ?1134 [1134, 1133, 1132] by Demod 1258 with 1474 at 2
% 135.00/34.09  Id : 3994, {_}: additive_identity === additive_identity [] by Demod 3993 with 7 at 2
% 135.00/34.09  Id : 3993, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (multiply a (multiply (multiply b c) d))) =>= additive_identity [] by Demod 3992 with 560 at 1,2,2
% 135.00/34.09  Id : 3992, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (add (multiply a (multiply (multiply b c) d)) (additive_inverse (multiply (multiply a (multiply b c)) d))))) =>= additive_identity [] by Demod 2999 with 3816 at 2,1,2,2
% 135.00/34.09  Id : 2999, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a (multiply b c)) d))))))))) =>= additive_identity [] by Demod 2998 with 560 at 1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2998, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply (multiply a b) c) d) (add (multiply (multiply a (multiply b c)) d) (additive_inverse (multiply (multiply (multiply a b) c) d)))))))))))) =>= additive_identity [] by Demod 2997 with 1721 at 2,2,1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2997, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply (multiply a b) c) d) (add (multiply (multiply a (multiply b c)) d) (multiply (additive_inverse (multiply (multiply a b) c)) d))))))))))) =>= additive_identity [] by Demod 2996 with 10 at 2,1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2996, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply (multiply a b) c) d) (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))) =>= additive_identity [] by Demod 2995 with 8 at 2,1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2995, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply (multiply a b) c) d) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))))) =>= additive_identity [] by Demod 2994 with 8 at 2,1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2994, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply (multiply a b) c) d) (additive_inverse (additive_inverse (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))))))) =>= additive_identity [] by Demod 2993 with 1474 at 2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2993, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (add (additive_inverse (multiply (multiply (multiply a b) c) d)) (additive_inverse (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))))) =>= additive_identity [] by Demod 2992 with 8 at 2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2992, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (additive_inverse (add (additive_inverse (multiply (multiply (multiply a b) c) d)) (additive_inverse (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))))))) =>= additive_identity [] by Demod 2991 with 1270 at 1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2991, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (add (additive_inverse (multiply (multiply (multiply a b) c) d)) (additive_inverse (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))))))))) =>= additive_identity [] by Demod 2990 with 12 at 1,2,1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2990, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (add (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d))) (additive_inverse (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))))))))) =>= additive_identity [] by Demod 2989 with 1474 at 2,1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2989, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (add (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))))))) =>= additive_identity [] by Demod 2988 with 8 at 2,1,2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2988, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (additive_inverse (add (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))))))))) =>= additive_identity [] by Demod 2987 with 1474 at 2,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2987, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (multiply a (multiply b (multiply c d))) (add (additive_inverse (multiply (multiply a b) (multiply c d))) (additive_inverse (add (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))))))) =>= additive_identity [] by Demod 2986 with 12 at 2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2986, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (add (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d)))) (additive_inverse (add (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))))) =>= additive_identity [] by Demod 2985 with 8 at 2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2985, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (additive_inverse (additive_inverse (add (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d)))) (additive_inverse (add (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))))))) =>= additive_identity [] by Demod 2984 with 1474 at 1,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2984, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (add (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))))))) =>= additive_identity [] by Demod 2983 with 12 at 1,2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2983, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d))))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))))) =>= additive_identity [] by Demod 2982 with 8 at 2,1,2,1,2,1,2,2
% 135.00/34.09  Id : 2982, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (add (multiply a (multiply (multiply b c) d)) (additive_inverse (additive_inverse (additive_inverse (add (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d))))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))))))) =>= additive_identity [] by Demod 2981 with 1474 at 2,1,2,1,2,2
% 135.00/34.09  Id : 2981, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (add (additive_inverse (multiply a (multiply (multiply b c) d))) (additive_inverse (additive_inverse (add (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d))))) (additive_inverse (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))))) =>= additive_identity [] by Demod 2980 with 1474 at 1,2,2,1,2,1,2,2
% 135.00/34.09  Id : 2980, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (add (additive_inverse (multiply a (multiply (multiply b c) d))) (additive_inverse (add (additive_inverse (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))))) (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))) =>= additive_identity [] by Demod 2979 with 633 at 1,2,1,2,1,2,2
% 135.00/34.09  Id : 2979, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (multiply b (multiply c d))) (add (multiply a (additive_inverse (multiply (multiply b c) d))) (additive_inverse (add (additive_inverse (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))))) (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d))))))))) =>= additive_identity [] by Demod 2978 with 12 at 1,2,1,2,2
% 135.00/34.09  Id : 2978, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (add (multiply a (multiply b (multiply c d))) (multiply a (additive_inverse (multiply (multiply b c) d)))) (additive_inverse (add (additive_inverse (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))))) (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)))))))) =>= additive_identity [] by Demod 2977 with 11 at 1,2,1,2,1,2,2
% 135.00/34.09  Id : 2977, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (add (multiply a (multiply b (multiply c d))) (multiply a (additive_inverse (multiply (multiply b c) d)))) (additive_inverse (add (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)) (additive_inverse (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))))))))))) =>= additive_identity [] by Demod 2976 with 9 at 1,1,2,1,2,2
% 135.00/34.09  Id : 2976, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (add (multiply a (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d)))) (additive_inverse (add (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)) (additive_inverse (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))))))))))) =>= additive_identity [] by Demod 2975 with 1474 at 2,1,2,2
% 135.00/34.09  Id : 2975, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (add (additive_inverse (multiply a (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)) (additive_inverse (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (additive_inverse (add (multiply (multiply a b) (multiply c d)) (additive_inverse (multiply (multiply (multiply a b) c) d)))))))))) =>= additive_identity [] by Demod 2974 with 1557 at 2,1,2,2,2,1,2,2
% 135.00/34.09  Id : 2974, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (add (additive_inverse (multiply a (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)) (additive_inverse (add (additive_inverse (add (multiply a (multiply b (multiply c d))) (additive_inverse (multiply (multiply a b) (multiply c d))))) (associator (multiply a b) c d))))))) =>= additive_identity [] by Demod 2973 with 1557 at 1,1,2,2,2,1,2,2
% 135.00/34.09  Id : 2973, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (add (additive_inverse (multiply a (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (additive_inverse (multiply (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c))) d)) (additive_inverse (add (associator a b (multiply c d)) (associator (multiply a b) c d))))))) =>= additive_identity [] by Demod 2972 with 1721 at 1,2,2,1,2,2
% 135.00/34.09  Id : 2972, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (add (additive_inverse (multiply a (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (additive_inverse (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c)))) d) (additive_inverse (add (associator a b (multiply c d)) (associator (multiply a b) c d))))))) =>= additive_identity [] by Demod 2971 with 633 at 1,2,1,2,2
% 135.00/34.09  Id : 2971, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (add (multiply a (additive_inverse (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (additive_inverse (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c)))) d) (additive_inverse (add (associator a b (multiply c d)) (associator (multiply a b) c d))))))) =>= additive_identity [] by Demod 2970 with 8 at 2,1,2,2
% 135.00/34.09  Id : 2970, {_}: add (multiply a (multiply (multiply b c) d)) (additive_inverse (add (multiply (multiply a (multiply b c)) d) (additive_inverse (additive_inverse (add (multiply a (additive_inverse (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (additive_inverse (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c)))) d) (additive_inverse (add (associator a b (multiply c d)) (associator (multiply a b) c d))))))))) =>= additive_identity [] by Demod 2969 with 1474 at 2,2
% 135.00/34.09  Id : 2969, {_}: add (multiply a (multiply (multiply b c) d)) (add (additive_inverse (multiply (multiply a (multiply b c)) d)) (additive_inverse (add (multiply a (additive_inverse (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (additive_inverse (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c)))) d) (additive_inverse (add (associator a b (multiply c d)) (associator (multiply a b) c d))))))) =>= additive_identity [] by Demod 2968 with 12 at 2
% 135.00/34.09  Id : 2968, {_}: add (add (multiply a (multiply (multiply b c) d)) (additive_inverse (multiply (multiply a (multiply b c)) d))) (additive_inverse (add (multiply a (additive_inverse (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (additive_inverse (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c)))) d) (additive_inverse (add (associator a b (multiply c d)) (associator (multiply a b) c d)))))) =>= additive_identity [] by Demod 2967 with 8 at 2
% 135.00/34.09  Id : 2967, {_}: additive_inverse (additive_inverse (add (add (multiply a (multiply (multiply b c) d)) (additive_inverse (multiply (multiply a (multiply b c)) d))) (additive_inverse (add (multiply a (additive_inverse (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (additive_inverse (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c)))) d) (additive_inverse (add (associator a b (multiply c d)) (associator (multiply a b) c d)))))))) =>= additive_identity [] by Demod 2966 with 1474 at 1,2
% 135.00/34.09  Id : 2966, {_}: additive_inverse (add (additive_inverse (add (multiply a (multiply (multiply b c) d)) (additive_inverse (multiply (multiply a (multiply b c)) d)))) (add (multiply a (additive_inverse (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (additive_inverse (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c)))) d) (additive_inverse (add (associator a b (multiply c d)) (associator (multiply a b) c d)))))) =>= additive_identity [] by Demod 2965 with 11 at 1,2,2,2,1,2
% 135.00/34.09  Id : 2965, {_}: additive_inverse (add (additive_inverse (add (multiply a (multiply (multiply b c) d)) (additive_inverse (multiply (multiply a (multiply b c)) d)))) (add (multiply a (additive_inverse (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (additive_inverse (add (multiply a (multiply b c)) (additive_inverse (multiply (multiply a b) c)))) d) (additive_inverse (add (associator (multiply a b) c d) (associator a b (multiply c d))))))) =>= additive_identity [] by Demod 2964 with 1557 at 1,1,2,2,1,2
% 135.00/34.09  Id : 2964, {_}: additive_inverse (add (additive_inverse (add (multiply a (multiply (multiply b c) d)) (additive_inverse (multiply (multiply a (multiply b c)) d)))) (add (multiply a (additive_inverse (add (multiply b (multiply c d)) (additive_inverse (multiply (multiply b c) d))))) (add (multiply (associator a b c) d) (additive_inverse (add (associator (multiply a b) c d) (associator a b (multiply c d))))))) =>= additive_identity [] by Demod 2963 with 1557 at 2,1,2,1,2
% 135.00/34.09  Id : 2963, {_}: additive_inverse (add (additive_inverse (add (multiply a (multiply (multiply b c) d)) (additive_inverse (multiply (multiply a (multiply b c)) d)))) (add (multiply a (associator b c d)) (add (multiply (associator a b c) d) (additive_inverse (add (associator (multiply a b) c d) (associator a b (multiply c d))))))) =>= additive_identity [] by Demod 2962 with 1557 at 1,1,2
% 135.00/34.09  Id : 2962, {_}: additive_inverse (add (associator a (multiply b c) d) (add (multiply a (associator b c d)) (add (multiply (associator a b c) d) (additive_inverse (add (associator (multiply a b) c d) (associator a b (multiply c d))))))) =>= additive_identity [] by Demod 2961 with 12 at 1,2
% 135.00/34.09  Id : 2961, {_}: additive_inverse (add (add (associator a (multiply b c) d) (multiply a (associator b c d))) (add (multiply (associator a b c) d) (additive_inverse (add (associator (multiply a b) c d) (associator a b (multiply c d)))))) =>= additive_identity [] by Demod 2960 with 12 at 1,2
% 135.00/34.09  Id : 2960, {_}: additive_inverse (add (add (add (associator a (multiply b c) d) (multiply a (associator b c d))) (multiply (associator a b c) d)) (additive_inverse (add (associator (multiply a b) c d) (associator a b (multiply c d))))) =>= additive_identity [] by Demod 2959 with 1474 at 2
% 135.00/34.10  Id : 2959, {_}: add (additive_inverse (add (add (associator a (multiply b c) d) (multiply a (associator b c d))) (multiply (associator a b c) d))) (add (associator (multiply a b) c d) (associator a b (multiply c d))) =>= additive_identity [] by Demod 1 with 11 at 2
% 135.00/34.10  Id :   1, {_}: add (add (associator (multiply a b) c d) (associator a b (multiply c d))) (additive_inverse (add (add (associator a (multiply b c) d) (multiply a (associator b c d))) (multiply (associator a b c) d))) =>= additive_identity [] by prove_teichmuller_identity
% 135.00/34.10  % SZS output end CNFRefutation for theBenchmark.p
% 135.00/34.10  22263: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 33.758116 using lpo
%------------------------------------------------------------------------------