TSTP Solution File: SYN729-1 by Moca---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : SYN729-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n027.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 09:18:34 EDT 2022
% Result : Unsatisfiable 7.61s 7.44s
% Output : Proof 7.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN729-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : moca.sh %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 05:05:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.61/7.44 % SZS status Unsatisfiable
% 7.61/7.44 % SZS output start Proof
% 7.61/7.44 The input problem is unsatisfiable because
% 7.61/7.44
% 7.61/7.44 [1] the following set of Horn clauses is unsatisfiable:
% 7.61/7.44
% 7.61/7.44 p(A) ==> l(A, g(h(sk1(A))))
% 7.61/7.44 p(A) ==> p(sk1(A))
% 7.61/7.44 p(A) ==> p(g(A))
% 7.61/7.44 p(A) ==> p(h(A))
% 7.61/7.44 p(sk2)
% 7.61/7.44 p(A) & l(sk2, A) ==> \bottom
% 7.61/7.44
% 7.61/7.44 This holds because
% 7.61/7.44
% 7.61/7.44 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 7.61/7.44
% 7.61/7.44 E:
% 7.61/7.44 f1(p(A), A) = true__
% 7.61/7.44 f1(true__, A) = l(A, g(h(sk1(A))))
% 7.61/7.44 f2(p(A), A) = true__
% 7.61/7.44 f2(true__, A) = p(sk1(A))
% 7.61/7.44 f3(p(A), A) = true__
% 7.61/7.44 f3(true__, A) = p(g(A))
% 7.61/7.44 f4(p(A), A) = true__
% 7.61/7.44 f4(true__, A) = p(h(A))
% 7.61/7.44 f5(true__) = false__
% 7.61/7.44 f6(l(sk2, A), A) = true__
% 7.61/7.44 f6(true__, A) = f5(p(A))
% 7.61/7.44 p(sk2) = true__
% 7.61/7.44 G:
% 7.61/7.44 true__ = false__
% 7.61/7.44
% 7.61/7.44 This holds because
% 7.61/7.44
% 7.61/7.44 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 7.61/7.44
% 7.61/7.44
% 7.61/7.44 f1(p(A), A) -> true__
% 7.61/7.44 f1(true__, A) -> l(A, g(h(sk1(A))))
% 7.61/7.44 f2(p(A), A) -> true__
% 7.61/7.44 f2(true__, A) -> p(sk1(A))
% 7.61/7.44 f3(p(A), A) -> true__
% 7.61/7.44 f3(true__, A) -> p(g(A))
% 7.61/7.44 f4(p(A), A) -> true__
% 7.61/7.44 f4(true__, A) -> p(h(A))
% 7.61/7.44 f5(true__) -> false__
% 7.61/7.44 f6(l(sk2, A), A) -> true__
% 7.61/7.44 f6(true__, A) -> f5(p(A))
% 7.61/7.44 false__ -> true__
% 7.61/7.44 l(g(g(g(sk1(sk2)))), g(h(sk1(g(g(g(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(g(g(g(sk2))), g(h(sk1(g(g(g(sk2))))))) -> true__
% 7.61/7.44 l(g(g(h(sk2))), g(h(sk1(g(g(h(sk2))))))) -> true__
% 7.61/7.44 l(g(g(sk1(sk1(sk2)))), g(h(sk1(g(g(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(g(g(sk1(sk2))), g(h(sk1(g(g(sk1(sk2))))))) -> true__
% 7.61/7.44 l(g(g(sk2)), g(h(sk1(g(g(sk2)))))) -> true__
% 7.61/7.44 l(g(h(g(sk2))), g(h(sk1(g(h(g(sk2))))))) -> true__
% 7.61/7.44 l(g(h(h(sk2))), g(h(sk1(g(h(h(sk2))))))) -> true__
% 7.61/7.44 l(g(h(sk1(sk1(sk2)))), g(h(sk1(g(h(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(g(h(sk1(sk2))), g(h(sk1(g(h(sk1(sk2))))))) -> true__
% 7.61/7.44 l(g(h(sk2)), g(h(sk1(g(h(sk2)))))) -> true__
% 7.61/7.44 l(g(sk1(g(sk1(sk2)))), g(h(sk1(g(sk1(g(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(g(sk1(g(sk2))), g(h(sk1(g(sk1(g(sk2))))))) -> true__
% 7.61/7.44 l(g(sk1(h(sk2))), g(h(sk1(g(sk1(h(sk2))))))) -> true__
% 7.61/7.44 l(g(sk1(sk1(sk1(sk2)))), g(h(sk1(g(sk1(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(g(sk1(sk1(sk2))), g(h(sk1(g(sk1(sk1(sk2))))))) -> true__
% 7.61/7.44 l(g(sk1(sk2)), g(h(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.44 l(g(sk2), g(h(sk1(g(sk2))))) -> true__
% 7.61/7.44 l(h(g(g(sk1(sk2)))), g(h(sk1(h(g(g(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(h(g(g(sk2))), g(h(sk1(h(g(g(sk2))))))) -> true__
% 7.61/7.44 l(h(g(h(sk2))), g(h(sk1(h(g(h(sk2))))))) -> true__
% 7.61/7.44 l(h(g(sk1(sk1(sk2)))), g(h(sk1(h(g(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(h(g(sk1(sk2))), g(h(sk1(h(g(sk1(sk2))))))) -> true__
% 7.61/7.44 l(h(g(sk2)), g(h(sk1(h(g(sk2)))))) -> true__
% 7.61/7.44 l(h(h(g(sk2))), g(h(sk1(h(h(g(sk2))))))) -> true__
% 7.61/7.44 l(h(h(h(sk2))), g(h(sk1(h(h(h(sk2))))))) -> true__
% 7.61/7.44 l(h(h(sk1(sk1(sk2)))), g(h(sk1(h(h(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(h(h(sk1(sk2))), g(h(sk1(h(h(sk1(sk2))))))) -> true__
% 7.61/7.44 l(h(h(sk2)), g(h(sk1(h(h(sk2)))))) -> true__
% 7.61/7.44 l(h(sk1(g(sk1(sk2)))), g(h(sk1(h(sk1(g(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(h(sk1(g(sk2))), g(h(sk1(h(sk1(g(sk2))))))) -> true__
% 7.61/7.44 l(h(sk1(h(sk2))), g(h(sk1(h(sk1(h(sk2))))))) -> true__
% 7.61/7.44 l(h(sk1(sk1(sk1(sk2)))), g(h(sk1(h(sk1(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(h(sk1(sk1(sk2))), g(h(sk1(h(sk1(sk1(sk2))))))) -> true__
% 7.61/7.44 l(h(sk1(sk2)), g(h(sk1(h(sk1(sk2)))))) -> true__
% 7.61/7.44 l(h(sk2), g(h(sk1(h(sk2))))) -> true__
% 7.61/7.44 l(sk1(g(g(sk1(sk2)))), g(h(sk1(sk1(g(g(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(sk1(g(g(sk2))), g(h(sk1(sk1(g(g(sk2))))))) -> true__
% 7.61/7.44 l(sk1(g(h(sk2))), g(h(sk1(sk1(g(h(sk2))))))) -> true__
% 7.61/7.44 l(sk1(g(sk1(sk1(sk2)))), g(h(sk1(sk1(g(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(sk1(g(sk1(sk2))), g(h(sk1(sk1(g(sk1(sk2))))))) -> true__
% 7.61/7.44 l(sk1(g(sk2)), g(h(sk1(sk1(g(sk2)))))) -> true__
% 7.61/7.44 l(sk1(h(g(sk2))), g(h(sk1(sk1(h(g(sk2))))))) -> true__
% 7.61/7.44 l(sk1(h(h(sk2))), g(h(sk1(sk1(h(h(sk2))))))) -> true__
% 7.61/7.44 l(sk1(h(sk1(sk1(sk2)))), g(h(sk1(sk1(h(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(sk1(h(sk1(sk2))), g(h(sk1(sk1(h(sk1(sk2))))))) -> true__
% 7.61/7.44 l(sk1(h(sk2)), g(h(sk1(sk1(h(sk2)))))) -> true__
% 7.61/7.44 l(sk1(sk1(g(sk1(sk2)))), g(h(sk1(sk1(sk1(g(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(sk1(sk1(g(sk2))), g(h(sk1(sk1(sk1(g(sk2))))))) -> true__
% 7.61/7.44 l(sk1(sk1(h(sk2))), g(h(sk1(sk1(sk1(h(sk2))))))) -> true__
% 7.61/7.44 l(sk1(sk1(sk1(g(sk2)))), g(h(sk1(sk1(sk1(sk1(g(sk2)))))))) -> true__
% 7.61/7.44 l(sk1(sk1(sk1(sk1(sk2)))), g(h(sk1(sk1(sk1(sk1(sk1(sk2)))))))) -> true__
% 7.61/7.44 l(sk1(sk1(sk1(sk2))), g(h(sk1(sk1(sk1(sk1(sk2))))))) -> true__
% 7.61/7.44 l(sk1(sk1(sk2)), g(h(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 l(sk1(sk2), g(h(sk1(sk1(sk2))))) -> true__
% 7.61/7.44 l(sk2, g(h(sk1(sk2)))) -> true__
% 7.61/7.44 p(g(g(g(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(g(g(g(sk2))))) -> true__
% 7.61/7.44 p(g(g(g(h(sk2))))) -> true__
% 7.61/7.44 p(g(g(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(g(g(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(g(g(sk2)))) -> true__
% 7.61/7.44 p(g(g(h(g(sk2))))) -> true__
% 7.61/7.44 p(g(g(h(h(sk2))))) -> true__
% 7.61/7.44 p(g(g(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(g(h(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(g(h(sk2)))) -> true__
% 7.61/7.44 p(g(g(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(g(sk1(g(sk2))))) -> true__
% 7.61/7.44 p(g(g(sk1(h(sk2))))) -> true__
% 7.61/7.44 p(g(g(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(g(sk1(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(g(sk1(sk2)))) -> true__
% 7.61/7.44 p(g(g(sk2))) -> true__
% 7.61/7.44 p(g(h(g(g(sk2))))) -> true__
% 7.61/7.44 p(g(h(g(h(sk2))))) -> true__
% 7.61/7.44 p(g(h(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(h(g(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(h(g(sk2)))) -> true__
% 7.61/7.44 p(g(h(h(g(sk2))))) -> true__
% 7.61/7.44 p(g(h(h(h(sk2))))) -> true__
% 7.61/7.44 p(g(h(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(h(h(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(h(h(sk2)))) -> true__
% 7.61/7.44 p(g(h(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(h(sk1(g(sk2))))) -> true__
% 7.61/7.44 p(g(h(sk1(h(sk2))))) -> true__
% 7.61/7.44 p(g(h(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(h(sk1(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(h(sk1(sk2)))) -> true__
% 7.61/7.44 p(g(h(sk2))) -> true__
% 7.61/7.44 p(g(sk1(g(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(sk1(g(g(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(g(h(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(sk1(g(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(g(sk2)))) -> true__
% 7.61/7.44 p(g(sk1(h(g(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(h(h(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(sk1(h(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(h(sk2)))) -> true__
% 7.61/7.44 p(g(sk1(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(sk1(sk1(g(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(sk1(h(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(sk1(sk1(g(sk2)))))) -> true__
% 7.61/7.44 p(g(sk1(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(g(sk1(sk1(sk1(sk2))))) -> true__
% 7.61/7.44 p(g(sk1(sk1(sk2)))) -> true__
% 7.61/7.44 p(g(sk1(sk2))) -> true__
% 7.61/7.44 p(g(sk2)) -> true__
% 7.61/7.44 p(h(g(g(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(g(g(g(sk2))))) -> true__
% 7.61/7.44 p(h(g(g(h(sk2))))) -> true__
% 7.61/7.44 p(h(g(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(g(g(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(g(g(sk2)))) -> true__
% 7.61/7.44 p(h(g(h(g(sk2))))) -> true__
% 7.61/7.44 p(h(g(h(h(sk2))))) -> true__
% 7.61/7.44 p(h(g(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(g(h(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(g(h(sk2)))) -> true__
% 7.61/7.44 p(h(g(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(g(sk1(g(sk2))))) -> true__
% 7.61/7.44 p(h(g(sk1(h(sk2))))) -> true__
% 7.61/7.44 p(h(g(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(g(sk1(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(g(sk1(sk2)))) -> true__
% 7.61/7.44 p(h(g(sk2))) -> true__
% 7.61/7.44 p(h(h(g(g(sk2))))) -> true__
% 7.61/7.44 p(h(h(g(h(sk2))))) -> true__
% 7.61/7.44 p(h(h(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(h(g(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(h(g(sk2)))) -> true__
% 7.61/7.44 p(h(h(h(g(sk2))))) -> true__
% 7.61/7.44 p(h(h(h(h(sk2))))) -> true__
% 7.61/7.44 p(h(h(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(h(h(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(h(h(sk2)))) -> true__
% 7.61/7.44 p(h(h(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(h(sk1(g(sk2))))) -> true__
% 7.61/7.44 p(h(h(sk1(h(sk2))))) -> true__
% 7.61/7.44 p(h(h(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(h(sk1(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(h(sk1(sk2)))) -> true__
% 7.61/7.44 p(h(h(sk2))) -> true__
% 7.61/7.44 p(h(sk1(g(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(sk1(g(g(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(g(h(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(sk1(g(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(g(sk2)))) -> true__
% 7.61/7.44 p(h(sk1(h(g(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(h(h(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(sk1(h(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(h(sk2)))) -> true__
% 7.61/7.44 p(h(sk1(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(sk1(sk1(g(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(sk1(h(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(h(sk1(sk1(sk1(sk2))))) -> true__
% 7.61/7.44 p(h(sk1(sk1(sk2)))) -> true__
% 7.61/7.44 p(h(sk1(sk2))) -> true__
% 7.61/7.44 p(h(sk2)) -> true__
% 7.61/7.44 p(sk1(g(g(g(sk1(sk2)))))) -> true__
% 7.61/7.44 p(sk1(g(g(g(sk2))))) -> true__
% 7.61/7.44 p(sk1(g(g(h(sk2))))) -> true__
% 7.61/7.44 p(sk1(g(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.44 p(sk1(g(g(sk1(sk2))))) -> true__
% 7.61/7.44 p(sk1(g(g(sk2)))) -> true__
% 7.61/7.44 p(sk1(g(h(g(sk2))))) -> true__
% 7.61/7.44 p(sk1(g(h(h(sk2))))) -> true__
% 7.61/7.45 p(sk1(g(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(g(h(sk1(sk2))))) -> true__
% 7.61/7.45 p(sk1(g(h(sk2)))) -> true__
% 7.61/7.45 p(sk1(g(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(g(sk1(g(sk2))))) -> true__
% 7.61/7.45 p(sk1(g(sk1(h(sk2))))) -> true__
% 7.61/7.45 p(sk1(g(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(g(sk1(sk1(sk2))))) -> true__
% 7.61/7.45 p(sk1(g(sk1(sk2)))) -> true__
% 7.61/7.45 p(sk1(g(sk2))) -> true__
% 7.61/7.45 p(sk1(h(g(g(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(g(h(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(h(g(sk1(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(g(sk2)))) -> true__
% 7.61/7.45 p(sk1(h(h(g(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(h(h(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(h(h(sk1(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(h(sk2)))) -> true__
% 7.61/7.45 p(sk1(h(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(h(sk1(g(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(sk1(h(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(h(sk1(sk1(sk2))))) -> true__
% 7.61/7.45 p(sk1(h(sk1(sk2)))) -> true__
% 7.61/7.45 p(sk1(h(sk2))) -> true__
% 7.61/7.45 p(sk1(sk1(g(g(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(sk1(g(g(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(g(h(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(g(sk1(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(sk1(g(sk1(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(g(sk2)))) -> true__
% 7.61/7.45 p(sk1(sk1(h(g(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(h(h(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(h(sk1(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(sk1(h(sk1(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(h(sk2)))) -> true__
% 7.61/7.45 p(sk1(sk1(sk1(g(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(sk1(sk1(g(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(sk1(h(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(sk1(sk1(g(sk2)))))) -> true__
% 7.61/7.45 p(sk1(sk1(sk1(sk1(sk1(sk2)))))) -> true__
% 7.61/7.45 p(sk1(sk1(sk1(sk1(sk2))))) -> true__
% 7.61/7.45 p(sk1(sk1(sk1(sk2)))) -> true__
% 7.61/7.45 p(sk1(sk1(sk2))) -> true__
% 7.61/7.45 p(sk1(sk2)) -> true__
% 7.61/7.45 p(sk2) -> true__
% 7.61/7.45 with the LPO induced by
% 7.61/7.45 f6 > f5 > sk2 > f4 > f3 > f2 > p > f1 > sk1 > h > g > l > false__ > true__
% 7.61/7.45
% 7.61/7.45 % SZS output end Proof
% 7.61/7.45
%------------------------------------------------------------------------------