TSTP Solution File: GRP581-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP581-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : 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 10:30:52 EDT 2022
% Result : Unsatisfiable 0.21s 0.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP581-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 04:33:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 29954: Facts:
% 0.14/0.36 29954: Id : 2, {_}:
% 0.14/0.36 double_divide
% 0.14/0.36 (double_divide ?2
% 0.14/0.36 (double_divide (double_divide identity ?3)
% 0.14/0.36 (double_divide ?4 (double_divide ?3 ?2))))
% 0.14/0.36 (double_divide identity identity)
% 0.14/0.36 =>=
% 0.14/0.36 ?4
% 0.14/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.36 29954: Id : 3, {_}:
% 0.14/0.36 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.14/0.36 [7, 6] by multiply ?6 ?7
% 0.14/0.36 29954: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.14/0.36 29954: Id : 5, {_}:
% 0.14/0.36 identity =<= double_divide ?11 (inverse ?11)
% 0.14/0.36 [11] by identity ?11
% 0.14/0.36 29954: Goal:
% 0.14/0.36 29954: Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.21/0.39 Statistics :
% 0.21/0.39 Max weight : 20
% 0.21/0.39 Found proof, 0.034144s
% 0.21/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.39 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.21/0.39 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.21/0.39 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.21/0.39 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.21/0.39 Id : 15, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.21/0.39 Id : 24, {_}: multiply (inverse ?63) ?63 =>= inverse identity [63] by Super 15 with 5 at 1,3
% 0.21/0.39 Id : 16, {_}: double_divide (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2
% 0.21/0.39 Id : 442, {_}: double_divide (double_divide identity (double_divide (double_divide identity ?542) (double_divide ?543 (inverse ?542)))) (inverse identity) =>= ?543 [543, 542] by Super 16 with 4 at 2,2,2,1,2
% 0.21/0.39 Id : 453, {_}: double_divide (double_divide identity (double_divide (double_divide identity ?574) identity)) (inverse identity) =>= ?574 [574] by Super 442 with 5 at 2,2,1,2
% 0.21/0.39 Id : 468, {_}: double_divide (double_divide identity (inverse (double_divide identity ?574))) (inverse identity) =>= ?574 [574] by Demod 453 with 4 at 2,1,2
% 0.21/0.39 Id : 478, {_}: double_divide (double_divide identity (multiply ?597 identity)) (inverse identity) =>= ?597 [597] by Demod 468 with 15 at 2,1,2
% 0.21/0.39 Id : 480, {_}: double_divide (double_divide identity (inverse identity)) (inverse identity) =>= inverse identity [] by Super 478 with 24 at 2,1,2
% 0.21/0.39 Id : 483, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Demod 480 with 5 at 1,2
% 0.21/0.39 Id : 484, {_}: identity =<= inverse identity [] by Demod 483 with 5 at 2
% 0.21/0.39 Id : 503, {_}: multiply (inverse ?63) ?63 =>= identity [63] by Demod 24 with 484 at 3
% 0.21/0.39 Id : 604, {_}: identity === identity [] by Demod 1 with 503 at 2
% 0.21/0.39 Id : 1, {_}: multiply (inverse a1) a1 =>= identity [] by prove_these_axioms_1
% 0.21/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.39 29957: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.035387 using nrkbo
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