TSTP Solution File: GRP492-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n017.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 10:30:31 EDT 2022
% Result : Unsatisfiable 0.87s 0.52s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 03:48:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 25698: Facts:
% 0.12/0.34 25698: Id : 2, {_}:
% 0.12/0.34 double_divide (double_divide identity ?2)
% 0.12/0.34 (double_divide identity
% 0.12/0.34 (double_divide (double_divide (double_divide ?2 ?3) identity)
% 0.12/0.34 (double_divide ?4 ?3)))
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 25698: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 25698: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.34 25698: Id : 5, {_}:
% 0.12/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.12/0.34 [11] by identity ?11
% 0.12/0.34 25698: Goal:
% 0.12/0.34 25698: 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
% 0.87/0.52 Statistics :
% 0.87/0.52 Max weight : 30
% 0.87/0.52 Found proof, 0.184035s
% 0.87/0.52 % SZS status Unsatisfiable for theBenchmark.p
% 0.87/0.52 % SZS output start CNFRefutation for theBenchmark.p
% 0.87/0.52 Id : 6, {_}: double_divide (double_divide identity ?13) (double_divide identity (double_divide (double_divide (double_divide ?13 ?14) identity) (double_divide ?15 ?14))) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.87/0.52 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.87/0.52 Id : 2, {_}: double_divide (double_divide identity ?2) (double_divide identity (double_divide (double_divide (double_divide ?2 ?3) identity) (double_divide ?4 ?3))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.87/0.52 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.87/0.52 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.87/0.52 Id : 16, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.87/0.52 Id : 10, {_}: double_divide (double_divide identity ?2) (double_divide identity (double_divide (multiply ?3 ?2) (double_divide ?4 ?3))) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 1,2,2,2
% 0.87/0.52 Id : 18, {_}: double_divide (double_divide identity ?48) (double_divide identity (double_divide (multiply identity ?48) (inverse ?49))) =>= ?49 [49, 48] by Super 10 with 4 at 2,2,2,2
% 0.87/0.52 Id : 17, {_}: multiply identity ?46 =>= inverse (inverse ?46) [46] by Super 16 with 4 at 1,3
% 0.87/0.52 Id : 766, {_}: double_divide (double_divide identity ?48) (double_divide identity (double_divide (inverse (inverse ?48)) (inverse ?49))) =>= ?49 [49, 48] by Demod 18 with 17 at 1,2,2,2
% 0.87/0.52 Id : 774, {_}: double_divide (double_divide identity ?1222) (double_divide identity (double_divide (inverse (inverse ?1222)) (inverse ?1223))) =>= ?1223 [1223, 1222] by Demod 18 with 17 at 1,2,2,2
% 0.87/0.52 Id : 779, {_}: double_divide (double_divide identity ?1237) (double_divide identity identity) =>= inverse (inverse ?1237) [1237] by Super 774 with 5 at 2,2,2
% 0.87/0.52 Id : 800, {_}: double_divide (double_divide identity ?1237) (inverse identity) =>= inverse (inverse ?1237) [1237] by Demod 779 with 4 at 2,2
% 0.87/0.52 Id : 22, {_}: double_divide (double_divide identity ?58) (double_divide identity (double_divide (multiply (inverse ?59) ?58) identity)) =>= ?59 [59, 58] by Super 10 with 5 at 2,2,2,2
% 0.87/0.52 Id : 440, {_}: double_divide (double_divide identity ?819) (double_divide identity (inverse (multiply (inverse ?820) ?819))) =>= ?820 [820, 819] by Demod 22 with 4 at 2,2,2
% 0.87/0.52 Id : 24, {_}: multiply (inverse ?64) ?64 =>= inverse identity [64] by Super 16 with 5 at 1,3
% 0.87/0.52 Id : 446, {_}: double_divide (double_divide identity ?834) (double_divide identity (inverse (inverse identity))) =>= ?834 [834] by Super 440 with 24 at 1,2,2,2
% 0.87/0.52 Id : 546, {_}: double_divide (double_divide identity ?1030) (double_divide identity (inverse (inverse identity))) =>= ?1030 [1030] by Super 440 with 24 at 1,2,2,2
% 0.87/0.52 Id : 561, {_}: double_divide identity (double_divide identity (inverse (inverse identity))) =>= inverse identity [] by Super 546 with 5 at 1,2
% 0.87/0.53 Id : 596, {_}: double_divide (inverse identity) (double_divide identity (inverse (inverse identity))) =>= double_divide identity (inverse (inverse identity)) [] by Super 446 with 561 at 1,2
% 0.87/0.53 Id : 560, {_}: double_divide (inverse identity) (double_divide identity (inverse (inverse identity))) =>= identity [] by Super 546 with 4 at 1,2
% 0.87/0.53 Id : 724, {_}: identity =<= double_divide identity (inverse (inverse identity)) [] by Demod 596 with 560 at 2
% 0.87/0.53 Id : 725, {_}: double_divide (inverse identity) identity =>= identity [] by Demod 560 with 724 at 2,2
% 0.87/0.53 Id : 735, {_}: inverse (inverse identity) =>= identity [] by Demod 725 with 4 at 2
% 0.87/0.53 Id : 738, {_}: identity =<= double_divide identity identity [] by Demod 724 with 735 at 2,3
% 0.87/0.53 Id : 739, {_}: identity =<= inverse identity [] by Demod 738 with 4 at 3
% 0.87/0.53 Id : 801, {_}: double_divide (double_divide identity ?1237) identity =>= inverse (inverse ?1237) [1237] by Demod 800 with 739 at 2,2
% 0.87/0.53 Id : 802, {_}: inverse (double_divide identity ?1237) =>= inverse (inverse ?1237) [1237] by Demod 801 with 4 at 2
% 0.87/0.53 Id : 803, {_}: multiply ?1237 identity =>= inverse (inverse ?1237) [1237] by Demod 802 with 16 at 2
% 0.87/0.53 Id : 727, {_}: double_divide (double_divide identity ?834) identity =>= ?834 [834] by Demod 446 with 724 at 2,2
% 0.87/0.53 Id : 730, {_}: inverse (double_divide identity ?834) =>= ?834 [834] by Demod 727 with 4 at 2
% 0.87/0.53 Id : 731, {_}: multiply ?834 identity =>= ?834 [834] by Demod 730 with 16 at 2
% 0.87/0.53 Id : 804, {_}: ?1237 =<= inverse (inverse ?1237) [1237] by Demod 803 with 731 at 2
% 0.87/0.53 Id : 819, {_}: double_divide (double_divide identity ?48) (double_divide identity (double_divide ?48 (inverse ?49))) =>= ?49 [49, 48] by Demod 766 with 804 at 1,2,2,2
% 0.87/0.53 Id : 827, {_}: ?1284 =<= inverse (inverse ?1284) [1284] by Demod 803 with 731 at 2
% 0.87/0.53 Id : 924, {_}: double_divide ?1397 ?1398 =<= inverse (multiply ?1398 ?1397) [1398, 1397] by Super 827 with 16 at 1,3
% 0.87/0.53 Id : 926, {_}: double_divide identity ?1404 =>= inverse ?1404 [1404] by Super 924 with 731 at 1,3
% 0.87/0.53 Id : 960, {_}: double_divide (inverse ?48) (double_divide identity (double_divide ?48 (inverse ?49))) =>= ?49 [49, 48] by Demod 819 with 926 at 1,2
% 0.87/0.53 Id : 961, {_}: double_divide (inverse ?48) (inverse (double_divide ?48 (inverse ?49))) =>= ?49 [49, 48] by Demod 960 with 926 at 2,2
% 0.87/0.53 Id : 962, {_}: double_divide (inverse ?48) (multiply (inverse ?49) ?48) =>= ?49 [49, 48] by Demod 961 with 16 at 2,2
% 0.87/0.53 Id : 19, {_}: double_divide (inverse identity) (double_divide identity (double_divide (multiply ?51 identity) (double_divide ?52 ?51))) =>= ?52 [52, 51] by Super 10 with 4 at 1,2
% 0.87/0.53 Id : 1075, {_}: double_divide identity (double_divide identity (double_divide (multiply ?51 identity) (double_divide ?52 ?51))) =>= ?52 [52, 51] by Demod 19 with 739 at 1,2
% 0.87/0.53 Id : 1076, {_}: double_divide identity (inverse (double_divide (multiply ?51 identity) (double_divide ?52 ?51))) =>= ?52 [52, 51] by Demod 1075 with 926 at 2,2
% 0.87/0.53 Id : 1077, {_}: inverse (inverse (double_divide (multiply ?51 identity) (double_divide ?52 ?51))) =>= ?52 [52, 51] by Demod 1076 with 926 at 2
% 0.87/0.53 Id : 1078, {_}: double_divide (multiply ?51 identity) (double_divide ?52 ?51) =>= ?52 [52, 51] by Demod 1077 with 804 at 2
% 0.87/0.53 Id : 1088, {_}: double_divide ?1551 (double_divide ?1552 ?1551) =>= ?1552 [1552, 1551] by Demod 1078 with 731 at 1,2
% 0.87/0.53 Id : 7, {_}: double_divide (double_divide identity ?17) (double_divide identity (double_divide (double_divide (double_divide ?17 (double_divide identity (double_divide (double_divide (double_divide ?18 ?19) identity) (double_divide ?20 ?19)))) identity) ?20)) =>= double_divide identity ?18 [20, 19, 18, 17] by Super 6 with 2 at 2,2,2,2
% 0.87/0.53 Id : 46, {_}: double_divide (double_divide identity ?17) (double_divide identity (double_divide (inverse (double_divide ?17 (double_divide identity (double_divide (double_divide (double_divide ?18 ?19) identity) (double_divide ?20 ?19))))) ?20)) =>= double_divide identity ?18 [20, 19, 18, 17] by Demod 7 with 4 at 1,2,2,2
% 0.87/0.53 Id : 47, {_}: double_divide (double_divide identity ?17) (double_divide identity (double_divide (multiply (double_divide identity (double_divide (double_divide (double_divide ?18 ?19) identity) (double_divide ?20 ?19))) ?17) ?20)) =>= double_divide identity ?18 [20, 19, 18, 17] by Demod 46 with 16 at 1,2,2,2
% 0.87/0.53 Id : 48, {_}: double_divide (double_divide identity ?17) (double_divide identity (double_divide (multiply (double_divide identity (double_divide (inverse (double_divide ?18 ?19)) (double_divide ?20 ?19))) ?17) ?20)) =>= double_divide identity ?18 [20, 19, 18, 17] by Demod 47 with 4 at 1,2,1,1,2,2,2
% 0.87/0.53 Id : 49, {_}: double_divide (double_divide identity ?17) (double_divide identity (double_divide (multiply (double_divide identity (double_divide (multiply ?19 ?18) (double_divide ?20 ?19))) ?17) ?20)) =>= double_divide identity ?18 [20, 18, 19, 17] by Demod 48 with 16 at 1,2,1,1,2,2,2
% 0.87/0.53 Id : 952, {_}: double_divide (inverse ?17) (double_divide identity (double_divide (multiply (double_divide identity (double_divide (multiply ?19 ?18) (double_divide ?20 ?19))) ?17) ?20)) =>= double_divide identity ?18 [20, 18, 19, 17] by Demod 49 with 926 at 1,2
% 0.87/0.53 Id : 953, {_}: double_divide (inverse ?17) (inverse (double_divide (multiply (double_divide identity (double_divide (multiply ?19 ?18) (double_divide ?20 ?19))) ?17) ?20)) =>= double_divide identity ?18 [20, 18, 19, 17] by Demod 952 with 926 at 2,2
% 0.87/0.53 Id : 954, {_}: double_divide (inverse ?17) (inverse (double_divide (multiply (double_divide identity (double_divide (multiply ?19 ?18) (double_divide ?20 ?19))) ?17) ?20)) =>= inverse ?18 [20, 18, 19, 17] by Demod 953 with 926 at 3
% 0.87/0.53 Id : 955, {_}: double_divide (inverse ?17) (inverse (double_divide (multiply (inverse (double_divide (multiply ?19 ?18) (double_divide ?20 ?19))) ?17) ?20)) =>= inverse ?18 [20, 18, 19, 17] by Demod 954 with 926 at 1,1,1,2,2
% 0.87/0.53 Id : 965, {_}: double_divide (inverse ?17) (multiply ?20 (multiply (inverse (double_divide (multiply ?19 ?18) (double_divide ?20 ?19))) ?17)) =>= inverse ?18 [18, 19, 20, 17] by Demod 955 with 16 at 2,2
% 0.87/0.53 Id : 966, {_}: double_divide (inverse ?17) (multiply ?20 (multiply (multiply (double_divide ?20 ?19) (multiply ?19 ?18)) ?17)) =>= inverse ?18 [18, 19, 20, 17] by Demod 965 with 16 at 1,2,2,2
% 0.87/0.53 Id : 971, {_}: double_divide (inverse ?1418) (multiply identity (multiply (multiply (inverse ?1419) (multiply ?1419 ?1420)) ?1418)) =>= inverse ?1420 [1420, 1419, 1418] by Super 966 with 926 at 1,1,2,2,2
% 0.87/0.53 Id : 821, {_}: multiply identity ?46 =>= ?46 [46] by Demod 17 with 804 at 3
% 0.87/0.53 Id : 1004, {_}: double_divide (inverse ?1418) (multiply (multiply (inverse ?1419) (multiply ?1419 ?1420)) ?1418) =>= inverse ?1420 [1420, 1419, 1418] by Demod 971 with 821 at 2,2
% 0.87/0.53 Id : 11, {_}: double_divide (double_divide identity ?29) (double_divide identity (double_divide (multiply identity ?29) (multiply ?30 ?31))) =>= double_divide ?31 ?30 [31, 30, 29] by Super 10 with 3 at 2,2,2,2
% 0.87/0.53 Id : 283, {_}: double_divide (double_divide identity ?29) (double_divide identity (double_divide (inverse (inverse ?29)) (multiply ?30 ?31))) =>= double_divide ?31 ?30 [31, 30, 29] by Demod 11 with 17 at 1,2,2,2
% 0.87/0.53 Id : 820, {_}: double_divide (double_divide identity ?29) (double_divide identity (double_divide ?29 (multiply ?30 ?31))) =>= double_divide ?31 ?30 [31, 30, 29] by Demod 283 with 804 at 1,2,2,2
% 0.87/0.53 Id : 944, {_}: double_divide (inverse ?29) (double_divide identity (double_divide ?29 (multiply ?30 ?31))) =>= double_divide ?31 ?30 [31, 30, 29] by Demod 820 with 926 at 1,2
% 0.87/0.53 Id : 945, {_}: double_divide (inverse ?29) (inverse (double_divide ?29 (multiply ?30 ?31))) =>= double_divide ?31 ?30 [31, 30, 29] by Demod 944 with 926 at 2,2
% 0.87/0.53 Id : 970, {_}: double_divide (inverse ?29) (multiply (multiply ?30 ?31) ?29) =>= double_divide ?31 ?30 [31, 30, 29] by Demod 945 with 16 at 2,2
% 0.87/0.53 Id : 1005, {_}: double_divide (multiply ?1419 ?1420) (inverse ?1419) =>= inverse ?1420 [1420, 1419] by Demod 1004 with 970 at 2
% 0.87/0.53 Id : 1125, {_}: double_divide (inverse ?1630) (inverse ?1631) =>= multiply ?1630 ?1631 [1631, 1630] by Super 1088 with 1005 at 2,2
% 0.87/0.53 Id : 1128, {_}: double_divide (inverse ?1639) ?1640 =>= multiply ?1639 (inverse ?1640) [1640, 1639] by Super 1125 with 804 at 2,2
% 0.87/0.53 Id : 1154, {_}: multiply ?48 (inverse (multiply (inverse ?49) ?48)) =>= ?49 [49, 48] by Demod 962 with 1128 at 2
% 0.87/0.53 Id : 828, {_}: double_divide ?1286 ?1287 =<= inverse (multiply ?1287 ?1286) [1287, 1286] by Super 827 with 16 at 1,3
% 0.87/0.53 Id : 1157, {_}: multiply ?48 (double_divide ?48 (inverse ?49)) =>= ?49 [49, 48] by Demod 1154 with 828 at 2,2
% 0.87/0.53 Id : 1132, {_}: double_divide ?1652 (inverse ?1653) =>= multiply (inverse ?1652) ?1653 [1653, 1652] by Super 1125 with 804 at 1,2
% 0.87/0.53 Id : 1214, {_}: multiply ?48 (multiply (inverse ?48) ?49) =>= ?49 [49, 48] by Demod 1157 with 1132 at 2,2
% 0.87/0.53 Id : 956, {_}: double_divide (inverse ?2) (double_divide identity (double_divide (multiply ?3 ?2) (double_divide ?4 ?3))) =>= ?4 [4, 3, 2] by Demod 10 with 926 at 1,2
% 0.87/0.53 Id : 957, {_}: double_divide (inverse ?2) (inverse (double_divide (multiply ?3 ?2) (double_divide ?4 ?3))) =>= ?4 [4, 3, 2] by Demod 956 with 926 at 2,2
% 0.87/0.53 Id : 964, {_}: double_divide (inverse ?2) (multiply (double_divide ?4 ?3) (multiply ?3 ?2)) =>= ?4 [3, 4, 2] by Demod 957 with 16 at 2,2
% 0.87/0.53 Id : 1155, {_}: multiply ?2 (inverse (multiply (double_divide ?4 ?3) (multiply ?3 ?2))) =>= ?4 [3, 4, 2] by Demod 964 with 1128 at 2
% 0.87/0.53 Id : 1156, {_}: multiply ?2 (double_divide (multiply ?3 ?2) (double_divide ?4 ?3)) =>= ?4 [4, 3, 2] by Demod 1155 with 828 at 2,2
% 0.87/0.53 Id : 1079, {_}: double_divide ?51 (double_divide ?52 ?51) =>= ?52 [52, 51] by Demod 1078 with 731 at 1,2
% 0.87/0.53 Id : 1096, {_}: double_divide (double_divide ?1580 ?1581) ?1580 =>= ?1581 [1581, 1580] by Super 1088 with 1079 at 2,2
% 0.87/0.53 Id : 1320, {_}: multiply ?1900 (double_divide (multiply ?1901 ?1900) ?1902) =>= double_divide ?1901 ?1902 [1902, 1901, 1900] by Super 1156 with 1096 at 2,2,2
% 0.87/0.53 Id : 3031, {_}: multiply ?4682 (double_divide ?4683 ?4684) =<= double_divide (multiply ?4683 (inverse ?4682)) ?4684 [4684, 4683, 4682] by Super 1214 with 1320 at 2,2
% 0.87/0.53 Id : 3034, {_}: multiply (inverse ?4694) (double_divide ?4695 ?4696) =>= double_divide (multiply ?4695 ?4694) ?4696 [4696, 4695, 4694] by Super 3031 with 804 at 2,1,3
% 0.87/0.53 Id : 1231, {_}: double_divide ?1794 (inverse ?1795) =>= multiply (inverse ?1794) ?1795 [1795, 1794] by Super 1125 with 804 at 1,2
% 0.87/0.53 Id : 1232, {_}: double_divide ?1797 (multiply ?1798 ?1799) =<= multiply (inverse ?1797) (double_divide ?1799 ?1798) [1799, 1798, 1797] by Super 1231 with 16 at 2,2
% 0.87/0.53 Id : 3086, {_}: double_divide ?4694 (multiply ?4696 ?4695) =<= double_divide (multiply ?4695 ?4694) ?4696 [4695, 4696, 4694] by Demod 3034 with 1232 at 2
% 0.87/0.53 Id : 3152, {_}: multiply ?4850 (multiply ?4851 ?4852) =<= inverse (double_divide ?4852 (multiply ?4850 ?4851)) [4852, 4851, 4850] by Super 16 with 3086 at 1,3
% 0.87/0.53 Id : 3190, {_}: multiply ?4850 (multiply ?4851 ?4852) =<= multiply (multiply ?4850 ?4851) ?4852 [4852, 4851, 4850] by Demod 3152 with 16 at 3
% 0.87/0.53 Id : 3360, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 3190 at 2
% 0.87/0.53 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.87/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.87/0.53 25699: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.187878 using kbo
%------------------------------------------------------------------------------