TSTP Solution File: SYO641-10 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : SYO641-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %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 : Thu Jul 21 18:46:16 EDT 2022
% Result : Unknown 2.20s 2.39s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO641-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : moca.sh %s
% 0.13/0.34 % Computer : n014.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 : Sat Jul 9 02:00:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.20/2.39 % SZS status Satisfiable
% 2.20/2.39 % SZS output start Proof
% 2.20/2.39 The input problem is satisfiable because
% 2.20/2.39
% 2.20/2.39 [1] the following set of Horn clauses is satisfiable:
% 2.20/2.39
% 2.20/2.39 ifeq(A, A, B, C) = B
% 2.20/2.39 tuple(f(X2, X5, X10), f(X4, X2, X8), f(X5, X6, X9)) = tuple(true, true, true) ==> \bottom
% 2.20/2.39 ifeq(f(X1, X3, sK1_notref3_Y1(X1)), true, f(X3, sK1_notref3_Y1(X1), sK1_notref3_Y1(X1)), true) = true
% 2.20/2.39 f(sK3_notref3_Y2, sK2_notref3_Y3, X7) = true
% 2.20/2.39
% 2.20/2.39 This holds because
% 2.20/2.39
% 2.20/2.39 [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
% 2.20/2.39
% 2.20/2.39 E:
% 2.20/2.39 f(sK3_notref3_Y2, sK2_notref3_Y3, X7) = true
% 2.20/2.39 f1(tuple(f(X2, X5, X10), f(X4, X2, X8), f(X5, X6, X9))) = false__
% 2.20/2.39 f1(tuple(true, true, true)) = true__
% 2.20/2.39 ifeq(A, A, B, C) = B
% 2.20/2.39 ifeq(f(X1, X3, sK1_notref3_Y1(X1)), true, f(X3, sK1_notref3_Y1(X1), sK1_notref3_Y1(X1)), true) = true
% 2.20/2.39 G:
% 2.20/2.39 true__ = false__
% 2.20/2.39
% 2.20/2.39 This holds because
% 2.20/2.39
% 2.20/2.39 [3] the following ground-complete ordered TRS entails E but does not entail G:
% 2.20/2.39
% 2.20/2.39 g1 = f(sK2_notref3_Y3, sK1_notref3_Y1(sK3_notref3_Y2), sK1_notref3_Y1(sK3_notref3_Y2))
% 2.20/2.39 f(sK3_notref3_Y2, sK2_notref3_Y3, X0) -> g1
% 2.20/2.39 f1(tuple(f(X2, X5, X10), f(X4, X2, X8), f(X5, X6, X9))) -> false__
% 2.20/2.39 f1(tuple(f(Y0, sK2_notref3_Y3, Y2), f(Y3, Y0, Y4), g1)) -> false__
% 2.20/2.39 f1(tuple(f(Y0, sK3_notref3_Y2, Y2), f(Y3, Y0, Y4), g1)) -> false__
% 2.20/2.39 f1(tuple(f(Y0, sK3_notref3_Y2, Y2), f(Y3, Y0, Y4), true)) -> false__
% 2.20/2.39 f1(tuple(f(sK1_notref3_Y1(sK3_notref3_Y2), Y1, Y2), g1, f(Y1, Y5, Y6))) -> false__
% 2.20/2.39 f1(tuple(f(sK1_notref3_Y1(sK3_notref3_Y2), sK2_notref3_Y3, Y1), g1, g1)) -> false__
% 2.20/2.39 f1(tuple(f(sK1_notref3_Y1(sK3_notref3_Y2), sK3_notref3_Y2, Y1), g1, g1)) -> false__
% 2.20/2.39 f1(tuple(f(sK2_notref3_Y3, Y1, Y2), g1, f(Y1, Y5, Y6))) -> false__
% 2.20/2.39 f1(tuple(f(sK2_notref3_Y3, Y1, Y2), true, f(Y1, Y5, Y6))) -> false__
% 2.20/2.39 f1(tuple(f(sK2_notref3_Y3, sK2_notref3_Y3, Y1), g1, g1)) -> false__
% 2.20/2.39 f1(tuple(f(sK2_notref3_Y3, sK3_notref3_Y2, Y1), g1, g1)) -> false__
% 2.20/2.39 f1(tuple(g1, f(Y0, sK3_notref3_Y2, Y1), g1)) -> false__
% 2.20/2.39 f1(tuple(g1, f(Y1, sK2_notref3_Y3, Y2), f(sK1_notref3_Y1(sK3_notref3_Y2), Y3, Y4))) -> false__
% 2.20/2.39 f1(tuple(g1, f(Y3, sK3_notref3_Y2, Y4), f(sK2_notref3_Y3, Y5, Y6))) -> false__
% 2.20/2.39 f1(tuple(g1, g1, f(sK1_notref3_Y1(sK3_notref3_Y2), Y2, Y3))) -> false__
% 2.20/2.39 f1(tuple(g1, g1, g1)) -> true__
% 2.20/2.39 f1(tuple(true, f(Y3, sK3_notref3_Y2, Y4), f(sK2_notref3_Y3, Y5, Y6))) -> false__
% 2.20/2.39 f1(tuple(true, true, true)) -> true__
% 2.20/2.39 ifeq(A, A, B, C) -> B
% 2.20/2.39 ifeq(f(X1, X3, sK1_notref3_Y1(X1)), true, f(X3, sK1_notref3_Y1(X1), sK1_notref3_Y1(X1)), true) -> f(sK2_notref3_Y3, sK1_notref3_Y1(sK3_notref3_Y2), sK1_notref3_Y1(sK3_notref3_Y2))
% 2.20/2.39 ifeq(f(Y0, Y1, sK1_notref3_Y1(Y0)), g1, f(Y1, sK1_notref3_Y1(Y0), sK1_notref3_Y1(Y0)), g1) -> g1
% 2.20/2.39 true -> f(sK2_notref3_Y3, sK1_notref3_Y1(sK3_notref3_Y2), sK1_notref3_Y1(sK3_notref3_Y2))
% 2.20/2.39 with the LPO induced by
% 2.20/2.39 true > sK1_notref3_Y1 > tuple > f1 > ifeq > f > g1 > sK2_notref3_Y3 > sK3_notref3_Y2 > false__ > true__
% 2.20/2.39
% 2.20/2.39 % SZS output end Proof
% 2.20/2.39
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