TSTP Solution File: GRP559-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP559-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n032.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 10:30:46 EDT 2022
% Result : Unsatisfiable 2.59s 0.90s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP559-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.08 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.06/0.27 % Computer : n032.cluster.edu
% 0.06/0.27 % Model : x86_64 x86_64
% 0.06/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.27 % Memory : 8042.1875MB
% 0.06/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27 % CPULimit : 300
% 0.06/0.27 % WCLimit : 600
% 0.06/0.27 % DateTime : Tue Jun 14 03:42:27 EDT 2022
% 0.06/0.27 % CPUTime :
% 0.06/0.27 29389: Facts:
% 0.06/0.27 29389: Id : 2, {_}:
% 0.06/0.27 divide ?2 (inverse (divide (divide ?3 ?4) (divide ?2 ?4))) =>= ?3
% 0.06/0.27 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.06/0.27 29389: Id : 3, {_}:
% 0.06/0.27 multiply ?6 ?7 =<= divide ?6 (inverse ?7)
% 0.06/0.27 [7, 6] by multiply ?6 ?7
% 0.06/0.27 29389: Goal:
% 0.06/0.27 29389: Id : 1, {_}:
% 0.06/0.27 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.06/0.27 [] by prove_these_axioms_3
% 2.59/0.90 Statistics :
% 2.59/0.90 Max weight : 22
% 2.59/0.90 Found proof, 0.631373s
% 2.59/0.90 % SZS status Unsatisfiable for theBenchmark.p
% 2.59/0.90 % SZS output start CNFRefutation for theBenchmark.p
% 2.59/0.90 Id : 2, {_}: divide ?2 (inverse (divide (divide ?3 ?4) (divide ?2 ?4))) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 2.59/0.90 Id : 4, {_}: divide ?9 (inverse (divide (divide ?10 ?11) (divide ?9 ?11))) =>= ?10 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 2.59/0.90 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by multiply ?6 ?7
% 2.59/0.90 Id : 5, {_}: divide ?13 (inverse (divide (divide ?14 (inverse (divide (divide ?15 ?16) (divide ?13 ?16)))) ?15)) =>= ?14 [16, 15, 14, 13] by Super 4 with 2 at 2,1,2,2
% 2.59/0.90 Id : 15, {_}: multiply ?13 (divide (divide ?14 (inverse (divide (divide ?15 ?16) (divide ?13 ?16)))) ?15) =>= ?14 [16, 15, 14, 13] by Demod 5 with 3 at 2
% 2.59/0.90 Id : 16, {_}: multiply ?13 (divide (multiply ?14 (divide (divide ?15 ?16) (divide ?13 ?16))) ?15) =>= ?14 [16, 15, 14, 13] by Demod 15 with 3 at 1,2,2
% 2.59/0.90 Id : 17, {_}: multiply ?39 (divide (multiply ?40 (divide (divide ?41 ?42) (divide ?39 ?42))) ?41) =>= ?40 [42, 41, 40, 39] by Demod 15 with 3 at 1,2,2
% 2.59/0.90 Id : 8, {_}: multiply ?2 (divide (divide ?3 ?4) (divide ?2 ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 3 at 2
% 2.59/0.90 Id : 20, {_}: multiply ?54 (divide ?55 ?55) =>= ?54 [55, 54] by Super 17 with 8 at 1,2,2
% 2.59/0.90 Id : 34, {_}: multiply ?89 (divide ?90 ?89) =>= ?90 [90, 89] by Super 16 with 20 at 1,2,2
% 2.59/0.90 Id : 35, {_}: multiply (inverse ?92) (multiply ?93 ?92) =>= ?93 [93, 92] by Super 34 with 3 at 2,2
% 2.59/0.90 Id : 9, {_}: multiply ?25 (divide (divide ?26 (inverse ?27)) (multiply ?25 ?27)) =>= ?26 [27, 26, 25] by Super 8 with 3 at 2,2,2
% 2.59/0.90 Id : 13, {_}: multiply ?25 (divide (multiply ?26 ?27) (multiply ?25 ?27)) =>= ?26 [27, 26, 25] by Demod 9 with 3 at 1,2,2
% 2.59/0.90 Id : 59, {_}: multiply (inverse ?143) (multiply ?144 ?143) =>= ?144 [144, 143] by Super 34 with 3 at 2,2
% 2.59/0.90 Id : 62, {_}: multiply (inverse (divide ?155 ?155)) ?156 =>= ?156 [156, 155] by Super 59 with 20 at 2,2
% 2.59/0.90 Id : 111, {_}: multiply (inverse (divide ?288 ?288)) (divide (multiply ?289 ?290) ?290) =>= ?289 [290, 289, 288] by Super 13 with 62 at 2,2,2
% 2.59/0.90 Id : 159, {_}: divide (multiply ?420 ?421) ?421 =>= ?420 [421, 420] by Demod 111 with 62 at 2
% 2.59/0.90 Id : 26, {_}: multiply ?66 (divide ?67 ?66) =>= ?67 [67, 66] by Super 16 with 20 at 1,2,2
% 2.59/0.90 Id : 164, {_}: divide ?439 (divide ?439 ?440) =>= ?440 [440, 439] by Super 159 with 26 at 1,2
% 2.59/0.90 Id : 248, {_}: multiply (divide ?665 ?666) ?666 =>= ?665 [666, 665] by Super 8 with 164 at 2,2
% 2.59/0.90 Id : 471, {_}: multiply (inverse ?1320) ?1321 =<= divide ?1321 ?1320 [1321, 1320] by Super 35 with 248 at 2,2
% 2.59/0.90 Id : 511, {_}: multiply ?6 ?7 =?= multiply (inverse (inverse ?7)) ?6 [7, 6] by Demod 3 with 471 at 3
% 2.59/0.90 Id : 503, {_}: multiply (inverse (divide ?439 ?440)) ?439 =>= ?440 [440, 439] by Demod 164 with 471 at 2
% 2.59/0.90 Id : 504, {_}: multiply (inverse (multiply (inverse ?440) ?439)) ?439 =>= ?440 [439, 440] by Demod 503 with 471 at 1,1,2
% 2.59/0.90 Id : 537, {_}: multiply (inverse (inverse ?439)) (inverse (multiply (inverse ?440) ?439)) =>= ?440 [440, 439] by Demod 504 with 511 at 2
% 2.59/0.90 Id : 276, {_}: divide ?771 (multiply ?771 ?772) =>= inverse ?772 [772, 771] by Super 159 with 35 at 1,2
% 2.59/0.90 Id : 284, {_}: divide (inverse ?801) ?802 =>= inverse (multiply ?802 ?801) [802, 801] by Super 276 with 35 at 2,2
% 2.59/0.90 Id : 527, {_}: multiply (inverse ?802) (inverse ?801) =>= inverse (multiply ?802 ?801) [801, 802] by Demod 284 with 471 at 2
% 2.59/0.90 Id : 538, {_}: inverse (multiply (inverse ?439) (multiply (inverse ?440) ?439)) =>= ?440 [440, 439] by Demod 537 with 527 at 2
% 2.59/0.90 Id : 539, {_}: inverse (inverse ?440) =>= ?440 [440] by Demod 538 with 35 at 1,2
% 2.59/0.90 Id : 540, {_}: multiply ?6 ?7 =?= multiply ?7 ?6 [7, 6] by Demod 511 with 539 at 1,3
% 2.59/0.90 Id : 6, {_}: divide ?18 (inverse (divide ?19 (divide ?18 (inverse (divide (divide ?19 ?20) (divide ?21 ?20)))))) =>= ?21 [21, 20, 19, 18] by Super 4 with 2 at 1,1,2,2
% 2.59/0.90 Id : 41, {_}: multiply ?18 (divide ?19 (divide ?18 (inverse (divide (divide ?19 ?20) (divide ?21 ?20))))) =>= ?21 [21, 20, 19, 18] by Demod 6 with 3 at 2
% 2.59/0.90 Id : 42, {_}: multiply ?18 (divide ?19 (multiply ?18 (divide (divide ?19 ?20) (divide ?21 ?20)))) =>= ?21 [21, 20, 19, 18] by Demod 41 with 3 at 2,2,2
% 2.59/0.90 Id : 255, {_}: multiply ?695 (divide ?696 (multiply ?695 ?697)) =>= divide ?696 ?697 [697, 696, 695] by Super 42 with 164 at 2,2,2,2
% 2.59/0.90 Id : 516, {_}: multiply ?66 (multiply (inverse ?66) ?67) =>= ?67 [67, 66] by Demod 26 with 471 at 2,2
% 2.59/0.90 Id : 257, {_}: divide ?701 (divide ?701 ?702) =>= ?702 [702, 701] by Super 159 with 26 at 1,2
% 2.59/0.90 Id : 261, {_}: divide ?713 (multiply ?713 ?714) =>= inverse ?714 [714, 713] by Super 257 with 3 at 2,2
% 2.59/0.90 Id : 666, {_}: multiply (inverse (multiply ?713 ?714)) ?713 =>= inverse ?714 [714, 713] by Demod 261 with 471 at 2
% 2.59/0.90 Id : 667, {_}: multiply ?713 (inverse (multiply ?713 ?714)) =>= inverse ?714 [714, 713] by Demod 666 with 540 at 2
% 2.59/0.90 Id : 685, {_}: multiply ?1658 (inverse ?1659) =<= inverse (multiply (inverse ?1658) ?1659) [1659, 1658] by Super 516 with 667 at 2,2
% 2.59/0.90 Id : 923, {_}: inverse (multiply ?2047 (inverse ?2048)) =<= multiply (inverse ?2047) ?2048 [2048, 2047] by Super 539 with 685 at 1,2
% 2.59/0.90 Id : 1010, {_}: inverse (multiply ?1320 (inverse ?1321)) =<= divide ?1321 ?1320 [1321, 1320] by Demod 471 with 923 at 2
% 2.59/0.90 Id : 2618, {_}: multiply ?695 (inverse (multiply (multiply ?695 ?697) (inverse ?696))) =?= divide ?696 ?697 [696, 697, 695] by Demod 255 with 1010 at 2,2
% 2.59/0.90 Id : 2652, {_}: multiply ?4390 (inverse (multiply (multiply ?4390 ?4391) (inverse ?4392))) =>= inverse (multiply ?4391 (inverse ?4392)) [4392, 4391, 4390] by Demod 2618 with 1010 at 3
% 2.59/0.90 Id : 2662, {_}: multiply ?4433 (inverse (multiply (inverse ?4434) (inverse ?4435))) =<= inverse (multiply (inverse (multiply ?4433 ?4434)) (inverse ?4435)) [4435, 4434, 4433] by Super 2652 with 667 at 1,1,2,2
% 2.59/0.90 Id : 2787, {_}: multiply ?4433 (inverse (inverse (multiply ?4434 (inverse (inverse ?4435))))) =<= inverse (multiply (inverse (multiply ?4433 ?4434)) (inverse ?4435)) [4435, 4434, 4433] by Demod 2662 with 923 at 1,2,2
% 2.59/0.90 Id : 2788, {_}: multiply ?4433 (inverse (inverse (multiply ?4434 (inverse (inverse ?4435))))) =<= inverse (inverse (multiply (multiply ?4433 ?4434) (inverse (inverse ?4435)))) [4435, 4434, 4433] by Demod 2787 with 923 at 1,3
% 2.59/0.90 Id : 2789, {_}: multiply ?4433 (multiply ?4434 (inverse (inverse ?4435))) =<= inverse (inverse (multiply (multiply ?4433 ?4434) (inverse (inverse ?4435)))) [4435, 4434, 4433] by Demod 2788 with 539 at 2,2
% 2.59/0.90 Id : 2790, {_}: multiply ?4433 (multiply ?4434 (inverse (inverse ?4435))) =<= multiply (multiply ?4433 ?4434) (inverse (inverse ?4435)) [4435, 4434, 4433] by Demod 2789 with 539 at 3
% 2.59/0.90 Id : 2791, {_}: multiply ?4433 (multiply ?4434 ?4435) =<= multiply (multiply ?4433 ?4434) (inverse (inverse ?4435)) [4435, 4434, 4433] by Demod 2790 with 539 at 2,2,2
% 2.59/0.90 Id : 2792, {_}: multiply ?4433 (multiply ?4434 ?4435) =<= multiply (multiply ?4433 ?4434) ?4435 [4435, 4434, 4433] by Demod 2791 with 539 at 2,3
% 2.59/0.90 Id : 144, {_}: divide (multiply ?289 ?290) ?290 =>= ?289 [290, 289] by Demod 111 with 62 at 2
% 2.59/0.90 Id : 258, {_}: divide (multiply ?704 ?705) ?704 =>= ?705 [705, 704] by Super 257 with 144 at 2,2
% 2.59/0.90 Id : 554, {_}: multiply (inverse ?704) (multiply ?704 ?705) =>= ?705 [705, 704] by Demod 258 with 471 at 2
% 2.59/0.90 Id : 578, {_}: multiply (inverse (multiply ?1479 ?1480)) ?1480 =>= inverse ?1479 [1480, 1479] by Super 35 with 554 at 2,2
% 2.59/0.90 Id : 614, {_}: multiply ?1480 (inverse (multiply ?1479 ?1480)) =>= inverse ?1479 [1479, 1480] by Demod 578 with 540 at 2
% 2.59/0.90 Id : 2661, {_}: multiply ?4429 (inverse (multiply (inverse ?4430) (inverse ?4431))) =<= inverse (multiply (inverse (multiply ?4430 ?4429)) (inverse ?4431)) [4431, 4430, 4429] by Super 2652 with 614 at 1,1,2,2
% 2.59/0.90 Id : 2781, {_}: multiply ?4429 (inverse (inverse (multiply ?4430 (inverse (inverse ?4431))))) =<= inverse (multiply (inverse (multiply ?4430 ?4429)) (inverse ?4431)) [4431, 4430, 4429] by Demod 2661 with 923 at 1,2,2
% 2.59/0.90 Id : 2782, {_}: multiply ?4429 (inverse (inverse (multiply ?4430 (inverse (inverse ?4431))))) =<= inverse (inverse (multiply (multiply ?4430 ?4429) (inverse (inverse ?4431)))) [4431, 4430, 4429] by Demod 2781 with 923 at 1,3
% 2.59/0.90 Id : 2783, {_}: multiply ?4429 (multiply ?4430 (inverse (inverse ?4431))) =<= inverse (inverse (multiply (multiply ?4430 ?4429) (inverse (inverse ?4431)))) [4431, 4430, 4429] by Demod 2782 with 539 at 2,2
% 2.59/0.90 Id : 2784, {_}: multiply ?4429 (multiply ?4430 (inverse (inverse ?4431))) =<= multiply (multiply ?4430 ?4429) (inverse (inverse ?4431)) [4431, 4430, 4429] by Demod 2783 with 539 at 3
% 2.59/0.90 Id : 2785, {_}: multiply ?4429 (multiply ?4430 ?4431) =<= multiply (multiply ?4430 ?4429) (inverse (inverse ?4431)) [4431, 4430, 4429] by Demod 2784 with 539 at 2,2,2
% 2.59/0.90 Id : 2786, {_}: multiply ?4429 (multiply ?4430 ?4431) =<= multiply (multiply ?4430 ?4429) ?4431 [4431, 4430, 4429] by Demod 2785 with 539 at 2,3
% 2.59/0.90 Id : 3092, {_}: multiply ?4433 (multiply ?4434 ?4435) =?= multiply ?4434 (multiply ?4433 ?4435) [4435, 4434, 4433] by Demod 2792 with 2786 at 3
% 2.59/0.90 Id : 3284, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 3283 with 540 at 2,2
% 2.59/0.90 Id : 3283, {_}: multiply a3 (multiply c3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 3282 with 3092 at 2
% 2.59/0.90 Id : 3282, {_}: multiply c3 (multiply a3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 540 at 2
% 2.59/0.90 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 2.59/0.90 % SZS output end CNFRefutation for theBenchmark.p
% 2.59/0.90 29391: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.634258 using lpo
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