%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP546-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n007.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 10:30:43 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP546-1 : 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 : n007.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 20:59:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 8936: Facts:
% 0.12/0.33 8936: Id : 2, {_}:
% 0.12/0.33 divide (divide identity (divide ?2 ?3)) (divide (divide ?3 ?4) ?2)
% 0.12/0.33 =>=
% 0.12/0.33 ?4
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 8936: Id : 3, {_}:
% 0.12/0.33 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.33 [7, 6] by multiply ?6 ?7
% 0.12/0.33 8936: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.33 8936: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.33 8936: Goal:
% 0.12/0.33 8936: Id : 1, {_}:
% 0.12/0.33 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.33 [] by prove_these_axioms_2
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 16
% 0.12/0.34 Found proof, 0.004738s
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34 Id : 2, {_}: divide (divide identity (divide ?2 ?3)) (divide (divide ?3 ?4) ?2) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.12/0.34 Id : 18, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.12/0.34 Id : 29, {_}: multiply (inverse ?80) ?80 =>= identity [80] by Super 18 with 5 at 3
% 0.12/0.34 Id : 20, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 18 with 4 at 3
% 0.12/0.34 Id : 19, {_}: divide (inverse (divide ?2 ?3)) (divide (divide ?3 ?4) ?2) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.12/0.34 Id : 26, {_}: divide (inverse (divide ?71 ?72)) (divide identity ?71) =>= ?72 [72, 71] by Super 19 with 5 at 1,2,2
% 0.12/0.34 Id : 35, {_}: divide (inverse (divide ?71 ?72)) (inverse ?71) =>= ?72 [72, 71] by Demod 26 with 4 at 2,2
% 0.12/0.34 Id : 81, {_}: multiply (inverse (divide ?118 ?119)) ?118 =>= ?119 [119, 118] by Demod 35 with 18 at 2
% 0.12/0.34 Id : 84, {_}: multiply (inverse identity) ?127 =>= ?127 [127] by Super 81 with 5 at 1,1,2
% 0.12/0.34 Id : 30, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.12/0.34 Id : 88, {_}: multiply identity ?127 =>= ?127 [127] by Demod 84 with 30 at 1,2
% 0.12/0.34 Id : 89, {_}: inverse (inverse ?127) =>= ?127 [127] by Demod 88 with 20 at 2
% 0.12/0.34 Id : 92, {_}: multiply identity ?57 =>= ?57 [57] by Demod 20 with 89 at 3
% 0.12/0.34 Id : 101, {_}: a2 === a2 [] by Demod 100 with 92 at 2
% 0.12/0.34 Id : 100, {_}: multiply identity a2 =>= a2 [] by Demod 1 with 29 at 1,2
% 0.12/0.34 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 8939: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.005881 using nrkbo
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