TSTP Solution File: GRP494-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP494-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n014.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 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP494-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 04:46:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 15756: Facts:
% 0.12/0.34 15756: Id : 2, {_}:
% 0.12/0.34 double_divide (double_divide identity ?2)
% 0.12/0.34 (double_divide
% 0.12/0.34 (double_divide (double_divide ?3 ?4)
% 0.12/0.34 (double_divide identity identity)) (double_divide ?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 15756: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 15756: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.34 15756: Id : 5, {_}:
% 0.12/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.12/0.34 [11] by identity ?11
% 0.12/0.34 15756: Goal:
% 0.12/0.34 15756: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.35 Statistics :
% 0.12/0.35 Max weight : 20
% 0.12/0.35 Found proof, 0.010336s
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.35 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.12/0.35 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
% 0.12/0.35 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.12/0.35 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.12/0.35 Id : 16, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.12/0.35 Id : 18, {_}: multiply identity ?50 =>= inverse (inverse ?50) [50] by Super 16 with 4 at 1,3
% 0.12/0.35 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
% 0.12/0.35 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
% 0.12/0.35 Id : 100, {_}: 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
% 0.12/0.35 Id : 103, {_}: double_divide (inverse identity) (double_divide identity (double_divide identity (inverse ?173))) =>= ?173 [173] by Super 100 with 4 at 1,2
% 0.12/0.35 Id : 102, {_}: double_divide (double_divide identity ?171) (double_divide identity identity) =>= ?171 [171] by Super 100 with 5 at 2,2,2
% 0.12/0.35 Id : 115, {_}: double_divide (double_divide identity ?196) (inverse identity) =>= ?196 [196] by Demod 102 with 4 at 2,2
% 0.12/0.35 Id : 117, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Super 115 with 5 at 1,2
% 0.12/0.35 Id : 119, {_}: identity =<= inverse identity [] by Demod 117 with 5 at 2
% 0.12/0.35 Id : 149, {_}: double_divide identity (double_divide identity (double_divide identity (inverse ?173))) =>= ?173 [173] by Demod 103 with 119 at 1,2
% 0.12/0.35 Id : 152, {_}: multiply (double_divide identity (double_divide identity (inverse ?213))) identity =>= inverse ?213 [213] by Super 16 with 149 at 1,3
% 0.12/0.35 Id : 106, {_}: double_divide (double_divide identity ?171) (inverse identity) =>= ?171 [171] by Demod 102 with 4 at 2,2
% 0.12/0.35 Id : 121, {_}: double_divide (double_divide identity ?171) identity =>= ?171 [171] by Demod 106 with 119 at 2,2
% 0.12/0.35 Id : 127, {_}: inverse (double_divide identity ?171) =>= ?171 [171] by Demod 121 with 4 at 2
% 0.12/0.35 Id : 128, {_}: multiply ?171 identity =>= ?171 [171] by Demod 127 with 16 at 2
% 0.12/0.35 Id : 164, {_}: double_divide identity (double_divide identity (inverse ?213)) =>= inverse ?213 [213] by Demod 152 with 128 at 2
% 0.12/0.35 Id : 173, {_}: double_divide identity (inverse ?173) =>= ?173 [173] by Demod 149 with 164 at 2,2
% 0.12/0.35 Id : 174, {_}: double_divide identity ?213 =>= inverse ?213 [213] by Demod 164 with 173 at 2,2
% 0.12/0.35 Id : 175, {_}: inverse (inverse ?173) =>= ?173 [173] by Demod 173 with 174 at 2
% 0.12/0.35 Id : 180, {_}: multiply identity ?50 =>= ?50 [50] by Demod 18 with 175 at 3
% 0.12/0.35 Id : 200, {_}: a2 === a2 [] by Demod 1 with 180 at 2
% 0.12/0.35 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.35 15759: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.012008 using nrkbo
%------------------------------------------------------------------------------