TSTP Solution File: GRP462-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : 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 : Sat Jul 16 10:30:23 EDT 2022
% Result : Unsatisfiable 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n019.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 19:49:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 27625: Facts:
% 0.12/0.34 27625: Id : 2, {_}:
% 0.12/0.34 divide ?2
% 0.12/0.34 (divide (divide (divide identity ?3) ?4)
% 0.12/0.34 (divide (divide (divide ?2 ?2) ?2) ?4))
% 0.12/0.34 =>=
% 0.12/0.34 ?3
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 27625: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 27625: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 27625: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 27625: Goal:
% 0.12/0.34 27625: 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
% 0.18/0.46 Statistics :
% 0.18/0.46 Max weight : 36
% 0.18/0.46 Found proof, 0.122551s
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.46 Id : 6, {_}: divide ?13 (divide (divide (divide identity ?14) ?15) (divide (divide (divide ?13 ?13) ?13) ?15)) =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.18/0.46 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.18/0.46 Id : 2, {_}: divide ?2 (divide (divide (divide identity ?3) ?4) (divide (divide (divide ?2 ?2) ?2) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.46 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.18/0.46 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.18/0.46 Id : 24, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.18/0.46 Id : 14, {_}: divide ?46 (divide (divide (multiply identity ?47) ?48) (divide (divide (divide ?46 ?46) ?46) ?48)) =>= divide identity ?47 [48, 47, 46] by Super 2 with 3 at 1,1,2,2
% 0.18/0.46 Id : 26, {_}: multiply identity ?67 =>= inverse (inverse ?67) [67] by Super 24 with 4 at 3
% 0.18/0.46 Id : 25, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (divide (divide ?2 ?2) ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,1,2,2
% 0.18/0.46 Id : 36, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (divide identity ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 25 with 5 at 1,1,2,2,2
% 0.18/0.46 Id : 37, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 36 with 4 at 1,2,2,2
% 0.18/0.46 Id : 39, {_}: divide ?87 (divide identity (divide (inverse ?87) (inverse ?88))) =>= ?88 [88, 87] by Super 37 with 5 at 1,2,2
% 0.18/0.46 Id : 48, {_}: divide ?87 (inverse (divide (inverse ?87) (inverse ?88))) =>= ?88 [88, 87] by Demod 39 with 4 at 2,2
% 0.18/0.46 Id : 49, {_}: multiply ?87 (divide (inverse ?87) (inverse ?88)) =>= ?88 [88, 87] by Demod 48 with 24 at 2
% 0.18/0.46 Id : 50, {_}: multiply ?87 (multiply (inverse ?87) ?88) =>= ?88 [88, 87] by Demod 49 with 24 at 2,2
% 0.18/0.46 Id : 298, {_}: multiply ?561 (multiply (inverse ?561) ?562) =>= ?562 [562, 561] by Demod 49 with 24 at 2,2
% 0.18/0.46 Id : 41, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.18/0.46 Id : 51, {_}: multiply ?101 identity =<= divide ?101 identity [101] by Super 24 with 41 at 2,3
% 0.18/0.46 Id : 40, {_}: divide ?90 identity =>= ?90 [90] by Super 37 with 5 at 2,2
% 0.18/0.46 Id : 197, {_}: multiply ?101 identity =>= ?101 [101] by Demod 51 with 40 at 3
% 0.18/0.46 Id : 302, {_}: multiply ?571 (inverse ?571) =>= identity [571] by Super 298 with 197 at 2,2
% 0.18/0.46 Id : 313, {_}: multiply ?578 identity =>= inverse (inverse ?578) [578] by Super 50 with 302 at 2,2
% 0.18/0.46 Id : 318, {_}: ?578 =<= inverse (inverse ?578) [578] by Demod 313 with 197 at 2
% 0.18/0.46 Id : 329, {_}: multiply identity ?67 =>= ?67 [67] by Demod 26 with 318 at 3
% 0.18/0.46 Id : 385, {_}: divide ?46 (divide (divide ?47 ?48) (divide (divide (divide ?46 ?46) ?46) ?48)) =>= divide identity ?47 [48, 47, 46] by Demod 14 with 329 at 1,1,2,2
% 0.18/0.46 Id : 386, {_}: divide ?46 (divide (divide ?47 ?48) (divide (divide identity ?46) ?48)) =>= divide identity ?47 [48, 47, 46] by Demod 385 with 5 at 1,1,2,2,2
% 0.18/0.46 Id : 387, {_}: divide ?46 (divide (divide ?47 ?48) (divide (divide identity ?46) ?48)) =>= inverse ?47 [48, 47, 46] by Demod 386 with 4 at 3
% 0.18/0.46 Id : 388, {_}: divide ?46 (divide (divide ?47 ?48) (divide (inverse ?46) ?48)) =>= inverse ?47 [48, 47, 46] by Demod 387 with 4 at 1,2,2,2
% 0.18/0.46 Id : 400, {_}: divide ?714 (divide (divide ?715 ?716) (divide (inverse ?714) ?716)) =>= inverse ?715 [716, 715, 714] by Demod 387 with 4 at 1,2,2,2
% 0.18/0.46 Id : 403, {_}: divide ?725 (divide (divide ?726 identity) (inverse ?725)) =>= inverse ?726 [726, 725] by Super 400 with 40 at 2,2,2
% 0.18/0.46 Id : 439, {_}: divide ?725 (multiply (divide ?726 identity) ?725) =>= inverse ?726 [726, 725] by Demod 403 with 24 at 2,2
% 0.18/0.46 Id : 490, {_}: divide ?860 (multiply ?861 ?860) =>= inverse ?861 [861, 860] by Demod 439 with 40 at 1,2,2
% 0.18/0.46 Id : 8, {_}: divide ?22 (divide (divide ?23 ?24) (divide (divide (divide ?22 ?22) ?22) ?24)) =?= divide (divide (divide identity ?23) ?25) (divide (divide (divide identity identity) identity) ?25) [25, 24, 23, 22] by Super 6 with 2 at 1,1,2,2
% 0.18/0.46 Id : 128, {_}: divide ?22 (divide (divide ?23 ?24) (divide (divide identity ?22) ?24)) =?= divide (divide (divide identity ?23) ?25) (divide (divide (divide identity identity) identity) ?25) [25, 24, 23, 22] by Demod 8 with 5 at 1,1,2,2,2
% 0.18/0.46 Id : 129, {_}: divide ?22 (divide (divide ?23 ?24) (divide (divide identity ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (divide (divide (divide identity identity) identity) ?25) [25, 24, 23, 22] by Demod 128 with 4 at 1,1,3
% 0.18/0.46 Id : 130, {_}: divide ?22 (divide (divide ?23 ?24) (divide (divide identity ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (divide (divide (inverse identity) identity) ?25) [25, 24, 23, 22] by Demod 129 with 4 at 1,1,2,3
% 0.18/0.46 Id : 131, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (divide (divide (inverse identity) identity) ?25) [25, 24, 23, 22] by Demod 130 with 4 at 1,2,2,2
% 0.18/0.46 Id : 132, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (divide (divide identity identity) ?25) [25, 24, 23, 22] by Demod 131 with 41 at 1,1,2,3
% 0.18/0.46 Id : 133, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (divide (inverse identity) ?25) [25, 24, 23, 22] by Demod 132 with 4 at 1,2,3
% 0.18/0.46 Id : 134, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (divide identity ?25) [25, 24, 23, 22] by Demod 133 with 41 at 1,2,3
% 0.18/0.46 Id : 135, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (inverse ?25) [25, 24, 23, 22] by Demod 134 with 4 at 2,3
% 0.18/0.46 Id : 136, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= multiply (divide (inverse ?23) ?25) ?25 [25, 24, 23, 22] by Demod 135 with 24 at 3
% 0.18/0.46 Id : 337, {_}: divide ?609 (divide (divide (inverse ?610) ?611) (divide (inverse ?609) ?611)) =?= multiply (divide ?610 ?612) ?612 [612, 611, 610, 609] by Super 136 with 318 at 1,1,3
% 0.18/0.46 Id : 347, {_}: ?610 =<= multiply (divide ?610 ?612) ?612 [612, 610] by Demod 337 with 37 at 2
% 0.18/0.46 Id : 522, {_}: divide ?929 ?930 =<= inverse (divide ?930 ?929) [930, 929] by Super 490 with 347 at 2,2
% 0.18/0.46 Id : 530, {_}: divide (inverse ?955) ?956 =>= inverse (multiply ?956 ?955) [956, 955] by Super 522 with 24 at 1,3
% 0.18/0.46 Id : 547, {_}: divide ?46 (divide (divide ?47 ?48) (inverse (multiply ?48 ?46))) =>= inverse ?47 [48, 47, 46] by Demod 388 with 530 at 2,2,2
% 0.18/0.46 Id : 548, {_}: divide ?46 (multiply (divide ?47 ?48) (multiply ?48 ?46)) =>= inverse ?47 [48, 47, 46] by Demod 547 with 24 at 2,2
% 0.18/0.46 Id : 341, {_}: multiply ?627 (inverse ?628) =>= divide ?627 ?628 [628, 627] by Super 24 with 318 at 2,3
% 0.18/0.46 Id : 460, {_}: ?789 =<= divide (divide ?789 (inverse ?790)) ?790 [790, 789] by Super 341 with 347 at 2
% 0.18/0.46 Id : 474, {_}: ?789 =<= divide (multiply ?789 ?790) ?790 [790, 789] by Demod 460 with 24 at 1,3
% 0.18/0.46 Id : 1694, {_}: divide ?2690 (multiply ?2691 (multiply ?2692 ?2690)) =>= inverse (multiply ?2691 ?2692) [2692, 2691, 2690] by Super 548 with 474 at 1,2,2
% 0.18/0.46 Id : 555, {_}: inverse ?977 =<= multiply (inverse (multiply ?978 ?977)) ?978 [978, 977] by Super 347 with 530 at 1,3
% 0.18/0.46 Id : 1707, {_}: divide ?2744 (multiply ?2745 (inverse ?2746)) =<= inverse (multiply ?2745 (inverse (multiply ?2744 ?2746))) [2746, 2745, 2744] by Super 1694 with 555 at 2,2,2
% 0.18/0.46 Id : 1759, {_}: divide ?2744 (divide ?2745 ?2746) =<= inverse (multiply ?2745 (inverse (multiply ?2744 ?2746))) [2746, 2745, 2744] by Demod 1707 with 341 at 2,2
% 0.18/0.46 Id : 1760, {_}: divide ?2744 (divide ?2745 ?2746) =<= inverse (divide ?2745 (multiply ?2744 ?2746)) [2746, 2745, 2744] by Demod 1759 with 341 at 1,3
% 0.18/0.46 Id : 496, {_}: divide ?875 ?876 =<= inverse (divide ?876 ?875) [876, 875] by Super 490 with 347 at 2,2
% 0.18/0.46 Id : 512, {_}: multiply ?882 (divide ?883 ?884) =<= divide ?882 (divide ?884 ?883) [884, 883, 882] by Super 341 with 496 at 2,2
% 0.18/0.46 Id : 1761, {_}: multiply ?2744 (divide ?2746 ?2745) =<= inverse (divide ?2745 (multiply ?2744 ?2746)) [2745, 2746, 2744] by Demod 1760 with 512 at 2
% 0.18/0.46 Id : 1762, {_}: multiply ?2744 (divide ?2746 ?2745) =<= divide (multiply ?2744 ?2746) ?2745 [2745, 2746, 2744] by Demod 1761 with 496 at 3
% 0.18/0.46 Id : 1880, {_}: multiply (multiply ?3008 ?3009) ?3010 =<= multiply ?3008 (divide ?3009 (inverse ?3010)) [3010, 3009, 3008] by Super 24 with 1762 at 3
% 0.18/0.46 Id : 1910, {_}: multiply (multiply ?3008 ?3009) ?3010 =>= multiply ?3008 (multiply ?3009 ?3010) [3010, 3009, 3008] by Demod 1880 with 24 at 2,3
% 0.18/0.46 Id : 2326, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 1910 at 2
% 0.18/0.46 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.18/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.46 27626: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.125042 using kbo
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