%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP493-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n013.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 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP493-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 13:14:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 10020: Facts:
% 0.13/0.35 10020: Id : 2, {_}:
% 0.13/0.35 double_divide (double_divide identity ?2)
% 0.13/0.35 (double_divide
% 0.13/0.35 (double_divide (double_divide ?3 ?4)
% 0.13/0.35 (double_divide identity identity)) (double_divide ?2 ?4))
% 0.13/0.35 =>=
% 0.13/0.35 ?3
% 0.13/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 10020: Id : 3, {_}:
% 0.13/0.35 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.13/0.35 [7, 6] by multiply ?6 ?7
% 0.13/0.35 10020: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.35 10020: Id : 5, {_}:
% 0.13/0.35 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.35 [11] by identity ?11
% 0.13/0.35 10020: Goal:
% 0.13/0.35 10020: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.13/0.35 Statistics :
% 0.13/0.35 Max weight : 20
% 0.13/0.35 Found proof, 0.007494s
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.35 Id : 2, {_}: double_divide (double_divide identity ?2) (double_divide (double_divide (double_divide ?3 ?4) (double_divide identity identity)) (double_divide ?2 ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.13/0.35 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.35 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.13/0.35 Id : 16, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.13/0.35 Id : 29, {_}: multiply (inverse ?74) ?74 =>= inverse identity [74] by Super 16 with 5 at 1,3
% 0.13/0.35 Id : 17, {_}: double_divide (double_divide identity ?2) (double_divide (double_divide (double_divide ?3 ?4) (inverse identity)) (double_divide ?2 ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 2,1,2,2
% 0.13/0.35 Id : 27, {_}: double_divide (double_divide identity ?68) (double_divide (double_divide identity (inverse identity)) (double_divide ?68 (inverse ?69))) =>= ?69 [69, 68] by Super 17 with 5 at 1,1,2,2
% 0.13/0.35 Id : 99, {_}: double_divide (double_divide identity ?164) (double_divide identity (double_divide ?164 (inverse ?165))) =>= ?165 [165, 164] by Demod 27 with 5 at 1,2,2
% 0.13/0.35 Id : 101, {_}: double_divide (double_divide identity ?171) (double_divide identity identity) =>= ?171 [171] by Super 99 with 5 at 2,2,2
% 0.13/0.35 Id : 114, {_}: double_divide (double_divide identity ?196) (inverse identity) =>= ?196 [196] by Demod 101 with 4 at 2,2
% 0.13/0.35 Id : 116, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Super 114 with 5 at 1,2
% 0.13/0.35 Id : 118, {_}: identity =<= inverse identity [] by Demod 116 with 5 at 2
% 0.13/0.35 Id : 122, {_}: multiply (inverse ?74) ?74 =>= identity [74] by Demod 29 with 118 at 3
% 0.13/0.35 Id : 139, {_}: identity === identity [] by Demod 1 with 122 at 2
% 0.13/0.35 Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35 10024: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.008514 using nrkbo
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