TSTP Solution File: RNG007-4 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n021.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 : Mon Jul 18 20:35:27 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n021.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 : Mon May 30 04:51:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 32324: Facts:
% 0.13/0.35 32324: Id : 2, {_}: add additive_identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.35 32324: Id : 3, {_}:
% 0.13/0.35 add (additive_inverse ?4) ?4 =>= additive_identity
% 0.13/0.35 [4] by left_additive_inverse ?4
% 0.13/0.35 32324: Id : 4, {_}:
% 0.13/0.35 multiply ?6 (add ?7 ?8) =<= add (multiply ?6 ?7) (multiply ?6 ?8)
% 0.13/0.35 [8, 7, 6] by distribute1 ?6 ?7 ?8
% 0.13/0.35 32324: Id : 5, {_}:
% 0.13/0.35 multiply (add ?10 ?11) ?12
% 0.13/0.35 =<=
% 0.13/0.35 add (multiply ?10 ?12) (multiply ?11 ?12)
% 0.13/0.35 [12, 11, 10] by distribute2 ?10 ?11 ?12
% 0.13/0.35 32324: Id : 6, {_}:
% 0.13/0.35 additive_inverse additive_identity =>= additive_identity
% 0.13/0.35 [] by additive_inverse_identity
% 0.13/0.35 32324: Id : 7, {_}:
% 0.13/0.35 additive_inverse (additive_inverse ?15) =>= ?15
% 0.13/0.35 [15] by additive_inverse_additive_inverse ?15
% 0.13/0.35 32324: Id : 8, {_}:
% 0.13/0.35 multiply ?17 additive_identity =>= additive_identity
% 0.13/0.35 [17] by multiply_additive_id1 ?17
% 0.13/0.35 32324: Id : 9, {_}:
% 0.13/0.35 multiply additive_identity ?19 =>= additive_identity
% 0.13/0.35 [19] by multiply_additive_id2 ?19
% 0.13/0.35 32324: Id : 10, {_}:
% 0.13/0.35 additive_inverse (add ?21 ?22)
% 0.13/0.35 =<=
% 0.13/0.35 add (additive_inverse ?21) (additive_inverse ?22)
% 0.13/0.35 [22, 21] by distribute_additive_inverse ?21 ?22
% 0.13/0.35 32324: Id : 11, {_}:
% 0.13/0.35 multiply ?24 (additive_inverse ?25)
% 0.13/0.35 =>=
% 0.13/0.35 additive_inverse (multiply ?24 ?25)
% 0.13/0.35 [25, 24] by multiply_additive_inverse1 ?24 ?25
% 0.13/0.35 32324: Id : 12, {_}:
% 0.13/0.35 multiply (additive_inverse ?27) ?28
% 0.13/0.35 =>=
% 0.13/0.35 additive_inverse (multiply ?27 ?28)
% 0.13/0.35 [28, 27] by multiply_additive_inverse2 ?27 ?28
% 0.13/0.35 32324: Id : 13, {_}:
% 0.13/0.35 add (add ?30 ?31) ?32 =?= add ?30 (add ?31 ?32)
% 0.13/0.35 [32, 31, 30] by associative_addition ?30 ?31 ?32
% 0.13/0.35 32324: Id : 14, {_}:
% 0.13/0.35 add ?34 ?35 =?= add ?35 ?34
% 0.13/0.35 [35, 34] by commutative_addition ?34 ?35
% 0.13/0.35 32324: Id : 15, {_}:
% 0.13/0.35 multiply (multiply ?37 ?38) ?39 =?= multiply ?37 (multiply ?38 ?39)
% 0.13/0.35 [39, 38, 37] by associative_multiplication ?37 ?38 ?39
% 0.13/0.35 32324: Id : 16, {_}: multiply ?41 ?41 =>= ?41 [41] by boolean_ring ?41
% 0.13/0.35 32324: Goal:
% 0.13/0.35 32324: Id : 1, {_}: add a a =>= additive_identity [] by prove_inverse
% 0.13/0.36 Statistics :
% 0.13/0.36 Max weight : 10
% 0.13/0.36 Found proof, 0.013304s
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.36 Id : 7, {_}: additive_inverse (additive_inverse ?15) =>= ?15 [15] by additive_inverse_additive_inverse ?15
% 0.13/0.36 Id : 11, {_}: multiply ?24 (additive_inverse ?25) =>= additive_inverse (multiply ?24 ?25) [25, 24] by multiply_additive_inverse1 ?24 ?25
% 0.13/0.36 Id : 16, {_}: multiply ?41 ?41 =>= ?41 [41] by boolean_ring ?41
% 0.13/0.36 Id : 12, {_}: multiply (additive_inverse ?27) ?28 =>= additive_inverse (multiply ?27 ?28) [28, 27] by multiply_additive_inverse2 ?27 ?28
% 0.13/0.36 Id : 14, {_}: add ?34 ?35 =?= add ?35 ?34 [35, 34] by commutative_addition ?34 ?35
% 0.13/0.36 Id : 3, {_}: add (additive_inverse ?4) ?4 =>= additive_identity [4] by left_additive_inverse ?4
% 0.13/0.36 Id : 158, {_}: add ?4 (additive_inverse ?4) =>= additive_identity [4] by Demod 3 with 14 at 2
% 0.13/0.36 Id : 258, {_}: additive_inverse ?407 =<= additive_inverse (multiply ?407 (additive_inverse ?407)) [407] by Super 12 with 16 at 2
% 0.13/0.36 Id : 268, {_}: additive_inverse ?407 =<= additive_inverse (additive_inverse (multiply ?407 ?407)) [407] by Demod 258 with 11 at 1,3
% 0.13/0.36 Statistics :
% 0.13/0.36 Max weight : 7
% 0.13/0.36 Id : 269, {_}: additive_inverse ?407 =<= multiply ?407 ?407 [407] by Demod 268 with 7 at 3
% 0.13/0.36 Found proof, 0.013601s
% 0.13/0.36 Id : 270, {_}: additive_inverse ?407 =>= ?407 [407] by Demod 269 with 16 at 3
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.36 Id : 313, {_}: add ?4 ?4 =>= additive_identity [4] by Demod 158 with 270 at 2,2
% 0.13/0.36 Id : 7, {_}: additive_inverse (additive_inverse ?15) =>= ?15 [15] by additive_inverse_additive_inverse ?15
% 0.13/0.36 Id : 316, {_}: additive_identity =?= additive_identity [] by Demod 1 with 313 at 2
% 0.13/0.36 Id : 1, {_}: add a a =>= additive_identity [] by prove_inverse
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.36 Id : 12, {_}: multiply (additive_inverse ?27) ?28 =>= additive_inverse (multiply ?27 ?28) [28, 27] by multiply_additive_inverse2 ?27 ?28
% 0.13/0.36 32325: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.014978 using kbo
% 0.13/0.36 Id : 16, {_}: multiply ?41 ?41 =>= ?41 [41] by boolean_ring ?41
% 0.13/0.36 Id : 11, {_}: multiply ?24 (additive_inverse ?25) =>= additive_inverse (multiply ?24 ?25) [25, 24] by multiply_additive_inverse1 ?24 ?25
% 0.13/0.36 Id : 3, {_}: add (additive_inverse ?4) ?4 =>= additive_identity [4] by left_additive_inverse ?4
% 0.13/0.36 Id : 283, {_}: additive_inverse ?555 =<= additive_inverse (multiply (additive_inverse ?555) ?555) [555] by Super 11 with 16 at 2
% 0.13/0.36 Id : 296, {_}: additive_inverse ?555 =<= additive_inverse (additive_inverse (multiply ?555 ?555)) [555] by Demod 283 with 12 at 1,3
% 0.13/0.36 Id : 297, {_}: additive_inverse ?555 =<= multiply ?555 ?555 [555] by Demod 296 with 7 at 3
% 0.13/0.36 Id : 298, {_}: additive_inverse ?555 =>= ?555 [555] by Demod 297 with 16 at 3
% 0.13/0.36 Id : 314, {_}: add ?4 ?4 =>= additive_identity [4] by Demod 3 with 298 at 1,2
% 0.13/0.36 Id : 321, {_}: additive_identity === additive_identity [] by Demod 1 with 314 at 2
% 0.13/0.36 Id : 1, {_}: add a a =>= additive_identity [] by prove_inverse
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
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