TSTP Solution File: GRP594-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP594-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n018.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 10:30:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP594-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n018.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 Jun 13 07:51:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 22492: Facts:
% 0.12/0.34 22492: Id : 2, {_}:
% 0.12/0.34 inverse
% 0.12/0.34 (double_divide (double_divide ?2 ?3)
% 0.12/0.34 (inverse (double_divide ?2 (inverse (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 22492: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 22492: Goal:
% 0.12/0.34 22492: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34 [] by prove_these_axioms_2
% 0.19/0.38 Statistics :
% 0.19/0.38 Max weight : 23
% 0.19/0.38 Found proof, 0.040738s
% 0.19/0.38 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.38 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.38 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.19/0.38 Id : 2, {_}: inverse (double_divide (double_divide ?2 ?3) (inverse (double_divide ?2 (inverse (double_divide ?4 ?3))))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.38 Id : 4, {_}: inverse (double_divide (double_divide ?9 ?10) (inverse (double_divide ?9 (inverse (double_divide ?11 ?10))))) =>= ?11 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.19/0.38 Id : 6, {_}: inverse (double_divide (double_divide (double_divide ?18 ?19) (inverse (double_divide ?20 ?19))) ?20) =>= ?18 [20, 19, 18] by Super 4 with 2 at 2,1,2
% 0.19/0.38 Id : 13, {_}: multiply ?20 (double_divide (double_divide ?18 ?19) (inverse (double_divide ?20 ?19))) =>= ?18 [19, 18, 20] by Demod 6 with 3 at 2
% 0.19/0.38 Id : 14, {_}: multiply ?20 (double_divide (double_divide ?18 ?19) (multiply ?19 ?20)) =>= ?18 [19, 18, 20] by Demod 13 with 3 at 2,2,2
% 0.19/0.38 Id : 8, {_}: multiply (inverse (double_divide ?2 (inverse (double_divide ?4 ?3)))) (double_divide ?2 ?3) =>= ?4 [3, 4, 2] by Demod 2 with 3 at 2
% 0.19/0.38 Id : 9, {_}: multiply (multiply (inverse (double_divide ?4 ?3)) ?2) (double_divide ?2 ?3) =>= ?4 [2, 3, 4] by Demod 8 with 3 at 1,2
% 0.19/0.38 Id : 10, {_}: multiply (multiply (multiply ?3 ?4) ?2) (double_divide ?2 ?3) =>= ?4 [2, 4, 3] by Demod 9 with 3 at 1,1,2
% 0.19/0.38 Id : 16, {_}: multiply ?35 (double_divide (double_divide (double_divide ?35 ?36) (multiply ?36 (multiply ?37 ?38))) ?37) =>= ?38 [38, 37, 36, 35] by Super 10 with 14 at 1,2
% 0.19/0.38 Id : 17, {_}: multiply ?40 (double_divide (double_divide ?41 ?42) (multiply ?42 ?40)) =>= ?41 [42, 41, 40] by Demod 13 with 3 at 2,2,2
% 0.19/0.38 Id : 18, {_}: multiply (double_divide ?44 ?45) (double_divide (double_divide ?46 (multiply (multiply ?45 ?47) ?44)) ?47) =>= ?46 [47, 46, 45, 44] by Super 17 with 10 at 2,2,2
% 0.19/0.38 Id : 32, {_}: double_divide (double_divide (multiply ?119 ?120) ?121) (multiply ?121 ?119) =>= ?120 [121, 120, 119] by Super 16 with 18 at 2
% 0.19/0.38 Id : 47, {_}: multiply ?197 (double_divide ?198 (multiply (multiply ?199 ?200) ?197)) =>= double_divide (multiply ?200 ?198) ?199 [200, 199, 198, 197] by Super 14 with 32 at 1,2,2
% 0.19/0.38 Id : 131, {_}: double_divide (multiply ?589 (double_divide ?590 (multiply ?591 ?589))) ?591 =>= ?590 [591, 590, 589] by Super 14 with 47 at 2
% 0.19/0.38 Id : 46, {_}: multiply (multiply ?193 ?194) (double_divide (multiply ?194 ?195) ?193) =>= inverse ?195 [195, 194, 193] by Super 3 with 32 at 1,3
% 0.19/0.38 Id : 98, {_}: multiply (inverse ?455) (double_divide (double_divide (multiply ?456 ?455) ?457) ?457) =>= ?456 [457, 456, 455] by Super 10 with 46 at 1,2
% 0.19/0.38 Id : 313, {_}: double_divide ?1367 ?1368 =<= double_divide (multiply ?1367 ?1369) (multiply ?1368 (inverse ?1369)) [1369, 1368, 1367] by Super 131 with 98 at 1,2
% 0.19/0.38 Id : 49, {_}: multiply (double_divide ?205 ?206) (double_divide ?207 ?208) =<= double_divide (multiply ?205 ?207) (multiply ?206 ?208) [208, 207, 206, 205] by Super 18 with 32 at 1,2,2
% 0.19/0.38 Id : 364, {_}: double_divide ?1549 ?1550 =<= multiply (double_divide ?1549 ?1550) (double_divide ?1551 (inverse ?1551)) [1551, 1550, 1549] by Demod 313 with 49 at 3
% 0.19/0.38 Id : 367, {_}: double_divide (double_divide (multiply ?1565 ?1566) ?1567) (multiply ?1567 ?1565) =?= multiply ?1566 (double_divide ?1568 (inverse ?1568)) [1568, 1567, 1566, 1565] by Super 364 with 32 at 1,3
% 0.19/0.38 Id : 375, {_}: ?1566 =<= multiply ?1566 (double_divide ?1568 (inverse ?1568)) [1568, 1566] by Demod 367 with 32 at 2
% 0.19/0.38 Id : 389, {_}: multiply (multiply (inverse ?1627) ?1628) ?1627 =>= ?1628 [1628, 1627] by Super 10 with 375 at 2
% 0.19/0.38 Id : 432, {_}: multiply (inverse (double_divide ?1786 (inverse ?1786))) ?1787 =>= ?1787 [1787, 1786] by Super 375 with 389 at 3
% 0.19/0.38 Id : 445, {_}: multiply (multiply (inverse ?1786) ?1786) ?1787 =>= ?1787 [1787, 1786] by Demod 432 with 3 at 1,2
% 0.19/0.38 Id : 662, {_}: a2 === a2 [] by Demod 1 with 445 at 2
% 0.19/0.38 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.19/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.38 22495: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.042697 using nrkbo
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