TSTP Solution File: SYO640-10 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : SYO640-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n018.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 18:46:15 EDT 2022
% Result : Unknown 24.43s 24.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO640-10 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : moca.sh %s
% 0.12/0.34 % Computer : n018.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 : Sat Jul 9 03:22:56 EDT 2022
% 0.12/0.35 % CPUTime :
% 24.43/24.46 % SZS status Satisfiable
% 24.43/24.46 % SZS output start Proof
% 24.43/24.46 The input problem is satisfiable because
% 24.43/24.46
% 24.43/24.46 [1] the following set of Horn clauses is satisfiable:
% 24.43/24.46
% 24.43/24.46 ifeq(A, A, B, C) = B
% 24.43/24.46 f(sK3_itmul0_Y1, sK1_itmul0_Y3, sK4_itmul0_Y4) = true ==> \bottom
% 24.43/24.46 ifeq(f(sK3_itmul0_Y1, sK1_itmul0_Y3, X1), true, f(sK3_itmul0_Y1, sK3_itmul0_Y1, X1), true) = true
% 24.43/24.46 ifeq(f(X2, X3, X4), true, ifeq(f(X1, X2, X4), true, f(X1, X3, X4), true), true) = true
% 24.43/24.46 f(sK2_itmul0_Y2, sK3_itmul0_Y1, sK4_itmul0_Y4) = true
% 24.43/24.46 f(sK3_itmul0_Y1, sK2_itmul0_Y2, sK4_itmul0_Y4) = true
% 24.43/24.46
% 24.43/24.46 This holds because
% 24.43/24.46
% 24.43/24.46 [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
% 24.43/24.46
% 24.43/24.46 E:
% 24.43/24.46 f(sK2_itmul0_Y2, sK3_itmul0_Y1, sK4_itmul0_Y4) = true
% 24.43/24.46 f(sK3_itmul0_Y1, sK2_itmul0_Y2, sK4_itmul0_Y4) = true
% 24.43/24.46 f1(f(sK3_itmul0_Y1, sK1_itmul0_Y3, sK4_itmul0_Y4)) = false__
% 24.43/24.46 f1(true) = true__
% 24.43/24.46 ifeq(A, A, B, C) = B
% 24.43/24.46 ifeq(f(X2, X3, X4), true, ifeq(f(X1, X2, X4), true, f(X1, X3, X4), true), true) = true
% 24.43/24.46 ifeq(f(sK3_itmul0_Y1, sK1_itmul0_Y3, X1), true, f(sK3_itmul0_Y1, sK3_itmul0_Y1, X1), true) = true
% 24.43/24.46 G:
% 24.43/24.46 true__ = false__
% 24.43/24.46
% 24.43/24.46 This holds because
% 24.43/24.46
% 24.43/24.46 [3] the following ground-complete ordered TRS entails E but does not entail G:
% 24.43/24.46
% 24.43/24.46
% 24.43/24.46 f(sK2_itmul0_Y2, sK3_itmul0_Y1, sK4_itmul0_Y4) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 f(sK3_itmul0_Y1, sK2_itmul0_Y2, sK4_itmul0_Y4) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 f(sK3_itmul0_Y1, sK3_itmul0_Y1, sK4_itmul0_Y4) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 f1(f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> true__
% 24.43/24.46 f1(f(sK3_itmul0_Y1, sK1_itmul0_Y3, sK4_itmul0_Y4)) -> false__
% 24.43/24.46 ifeq(A, A, B, C) -> B
% 24.43/24.46 ifeq(f(Y0, Y1, Y2), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), ifeq(f(Y3, Y0, Y2), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(Y3, Y1, Y2), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(Y0, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(Y0, sK3_itmul0_Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(Y0, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), ifeq(f(sK3_itmul0_Y1, Y0, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(Y0, sK3_itmul0_Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), ifeq(f(sK2_itmul0_Y2, Y0, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(Y0, sK3_itmul0_Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), ifeq(f(sK3_itmul0_Y1, Y0, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(Y1, Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(Y3, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(Y3, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(Y3, sK3_itmul0_Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(Y3, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(Y3, sK3_itmul0_Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(Y3, sK3_itmul0_Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(sK1_itmul0_Y3, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(sK1_itmul0_Y3, sK3_itmul0_Y1, Y0), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(sK2_itmul0_Y2, Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(sK2_itmul0_Y2, Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK3_itmul0_Y1, Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(sK3_itmul0_Y1, Y0, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, Y0, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(sK3_itmul0_Y1, Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK3_itmul0_Y1, Y1, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(sK3_itmul0_Y1, sK1_itmul0_Y3, Y0), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK3_itmul0_Y1, sK3_itmul0_Y1, Y0), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 ifeq(f(sK3_itmul0_Y1, sK1_itmul0_Y3, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4), f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)) -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 true -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 true -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 true -> f(sK2_itmul0_Y2, sK2_itmul0_Y2, sK4_itmul0_Y4)
% 24.43/24.46 with the LPO induced by
% 24.43/24.46 sK1_itmul0_Y3 > f1 > ifeq > true > sK4_itmul0_Y4 > sK3_itmul0_Y1 > sK2_itmul0_Y2 > f > false__ > true__
% 24.43/24.46
% 24.43/24.46 % SZS output end Proof
% 24.43/24.46
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