TSTP Solution File: LCL161-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n029.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 : Sun Jul 17 12:42:46 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 4 13:45:11 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 5464: Facts:
% 0.14/0.36 5464: Id : 2, {_}: not ?2 =<= xor ?2 truth [2] by axiom_1 ?2
% 0.14/0.36 5464: Id : 3, {_}: xor ?4 falsehood =>= ?4 [4] by axiom_2 ?4
% 0.14/0.36 5464: Id : 4, {_}: xor ?6 ?6 =>= falsehood [6] by axiom_3 ?6
% 0.14/0.36 5464: Id : 5, {_}: and_star ?8 truth =>= ?8 [8] by axiom_4 ?8
% 0.14/0.36 5464: Id : 6, {_}: and_star ?10 falsehood =>= falsehood [10] by axiom_5 ?10
% 0.14/0.36 5464: Id : 7, {_}: and_star (xor truth ?12) ?12 =>= falsehood [12] by axiom_6 ?12
% 0.14/0.36 5464: Id : 8, {_}:
% 0.14/0.36 xor ?14 (xor truth ?15) =?= xor (xor ?14 truth) ?15
% 0.14/0.36 [15, 14] by axiom_7 ?14 ?15
% 0.14/0.36 5464: Id : 9, {_}:
% 0.14/0.36 and_star (xor (and_star (xor truth ?17) ?18) truth) ?18
% 0.14/0.36 =?=
% 0.14/0.36 and_star (xor (and_star (xor truth ?18) ?17) truth) ?17
% 0.14/0.36 [18, 17] by axiom_8 ?17 ?18
% 0.14/0.36 5464: Id : 10, {_}:
% 0.14/0.36 xor ?20 ?21 =?= xor ?21 ?20
% 0.14/0.36 [21, 20] by xor_commutativity ?20 ?21
% 0.14/0.36 5464: Id : 11, {_}:
% 0.14/0.36 and_star (and_star ?23 ?24) ?25 =?= and_star ?23 (and_star ?24 ?25)
% 0.14/0.36 [25, 24, 23] by and_star_associativity ?23 ?24 ?25
% 0.14/0.36 5464: Id : 12, {_}:
% 0.14/0.36 and_star ?27 ?28 =?= and_star ?28 ?27
% 0.14/0.36 [28, 27] by and_star_commutativity ?27 ?28
% 0.14/0.36 5464: Id : 13, {_}: not truth =>= falsehood [] by false_definition
% 0.14/0.36 5464: Id : 14, {_}:
% 0.14/0.36 implies ?31 ?32 =<= xor truth (and_star ?31 (xor truth ?32))
% 0.14/0.36 [32, 31] by implies_definition ?31 ?32
% 0.14/0.36 5464: Goal:
% 0.14/0.36 5464: Id : 1, {_}: implies truth x =>= x [] by prove_wajsberg_axiom
% 0.14/0.39 Statistics :
% 0.14/0.39 Max weight : 14
% 0.14/0.39 Found proof, 0.026001s
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.39 Id : 3, {_}: xor ?4 falsehood =>= ?4 [4] by axiom_2 ?4
% 0.14/0.39 Id : 4, {_}: xor ?6 ?6 =>= falsehood [6] by axiom_3 ?6
% 0.14/0.39 Id : 8, {_}: xor ?14 (xor truth ?15) =?= xor (xor ?14 truth) ?15 [15, 14] by axiom_7 ?14 ?15
% 0.14/0.39 Id : 12, {_}: and_star ?27 ?28 =?= and_star ?28 ?27 [28, 27] by and_star_commutativity ?27 ?28
% 0.14/0.39 Id : 5, {_}: and_star ?8 truth =>= ?8 [8] by axiom_4 ?8
% 0.14/0.39 Id : 10, {_}: xor ?20 ?21 =?= xor ?21 ?20 [21, 20] by xor_commutativity ?20 ?21
% 0.14/0.39 Id : 2, {_}: not ?2 =<= xor ?2 truth [2] by axiom_1 ?2
% 0.14/0.39 Id : 14, {_}: implies ?31 ?32 =<= xor truth (and_star ?31 (xor truth ?32)) [32, 31] by implies_definition ?31 ?32
% 0.14/0.39 Id : 116, {_}: not ?144 =<= xor truth ?144 [144] by Super 2 with 10 at 3
% 0.14/0.39 Id : 285, {_}: implies ?31 ?32 =<= not (and_star ?31 (xor truth ?32)) [32, 31] by Demod 14 with 116 at 3
% 0.14/0.39 Id : 286, {_}: implies ?31 ?32 =<= not (and_star ?31 (not ?32)) [32, 31] by Demod 285 with 116 at 2,1,3
% 0.14/0.39 Id : 193, {_}: and_star truth ?317 =>= ?317 [317] by Super 5 with 12 at 2
% 0.14/0.39 Id : 370, {_}: implies truth ?586 =>= not (not ?586) [586] by Super 286 with 193 at 1,3
% 0.14/0.39 Id : 46, {_}: xor ?70 (xor truth ?71) =>= xor (not ?70) ?71 [71, 70] by Demod 8 with 2 at 1,3
% 0.14/0.39 Id : 48, {_}: xor ?75 falsehood =<= xor (not ?75) truth [75] by Super 46 with 4 at 2,2
% 0.14/0.39 Id : 55, {_}: ?75 =<= xor (not ?75) truth [75] by Demod 48 with 3 at 2
% 0.14/0.39 Id : 56, {_}: ?75 =<= not (not ?75) [75] by Demod 55 with 2 at 3
% 0.14/0.39 Id : 377, {_}: implies truth ?586 =>= ?586 [586] by Demod 370 with 56 at 3
% 0.14/0.39 Id : 413, {_}: x === x [] by Demod 1 with 377 at 2
% 0.14/0.39 Id : 1, {_}: implies truth x =>= x [] by prove_wajsberg_axiom
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 5467: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.028018 using nrkbo
%------------------------------------------------------------------------------