TSTP Solution File: MSC015-1.005 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : MSC015-1.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n019.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 : 300s
% DateTime : Thu Aug 31 09:27:01 EDT 2023
% Result : Unsatisfiable 0.21s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MSC015-1.005 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 13:48:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.40 Command-line arguments: --no-flatten-goal
% 0.21/0.40
% 0.21/0.40 % SZS status Unsatisfiable
% 0.21/0.40
% 0.21/0.55 % SZS output start Proof
% 0.21/0.55 Take the following subset of the input axioms:
% 0.21/0.56 fof(goal, negated_conjecture, ~p(s1, s1, s1, s1, s1)).
% 0.21/0.56 fof(init, axiom, p(s0, s0, s0, s0, s0)).
% 0.21/0.56 fof(rule1, axiom, ![X0, X1, X2, X3]: (~p(X0, X1, X2, X3, s0) | p(X0, X1, X2, X3, s1))).
% 0.21/0.56 fof(rule2, axiom, ![X0_2, X1_2, X2_2]: (~p(X0_2, X1_2, X2_2, s0, s1) | p(X0_2, X1_2, X2_2, s1, s0))).
% 0.21/0.56 fof(rule3, axiom, ![X0_2, X1_2]: (~p(X0_2, X1_2, s0, s1, s1) | p(X0_2, X1_2, s1, s0, s0))).
% 0.21/0.56 fof(rule4, axiom, ![X0_2]: (~p(X0_2, s0, s1, s1, s1) | p(X0_2, s1, s0, s0, s0))).
% 0.21/0.56 fof(rule5, axiom, ~p(s0, s1, s1, s1, s1) | p(s1, s0, s0, s0, s0)).
% 0.21/0.56
% 0.21/0.56 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.21/0.56 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.21/0.56 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.21/0.56 fresh(y, y, x1...xn) = u
% 0.21/0.56 C => fresh(s, t, x1...xn) = v
% 0.21/0.56 where fresh is a fresh function symbol and x1..xn are the free
% 0.21/0.56 variables of u and v.
% 0.21/0.56 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.21/0.56 input problem has no model of domain size 1).
% 0.21/0.56
% 0.21/0.56 The encoding turns the above axioms into the following unit equations and goals:
% 0.21/0.56
% 0.21/0.56 Axiom 1 (rule5): fresh(X, X) = true.
% 0.21/0.56 Axiom 2 (rule4): fresh2(X, X, Y) = true.
% 0.21/0.56 Axiom 3 (rule3): fresh3(X, X, Y, Z) = true.
% 0.21/0.56 Axiom 4 (rule2): fresh5(X, X, Y, Z, W) = true.
% 0.21/0.56 Axiom 5 (init): p(s0, s0, s0, s0, s0) = true.
% 0.21/0.56 Axiom 6 (rule1): fresh4(X, X, Y, Z, W, V) = true.
% 0.21/0.56 Axiom 7 (rule5): fresh(p(s0, s1, s1, s1, s1), true) = p(s1, s0, s0, s0, s0).
% 0.21/0.56 Axiom 8 (rule4): fresh2(p(X, s0, s1, s1, s1), true, X) = p(X, s1, s0, s0, s0).
% 0.21/0.56 Axiom 9 (rule3): fresh3(p(X, Y, s0, s1, s1), true, X, Y) = p(X, Y, s1, s0, s0).
% 0.21/0.56 Axiom 10 (rule2): fresh5(p(X, Y, Z, s0, s1), true, X, Y, Z) = p(X, Y, Z, s1, s0).
% 0.21/0.57 Axiom 11 (rule1): fresh4(p(X, Y, Z, W, s0), true, X, Y, Z, W) = p(X, Y, Z, W, s1).
% 0.21/0.57
% 0.21/0.57 Goal 1 (goal): p(s1, s1, s1, s1, s1) = true.
% 0.21/0.57 Proof:
% 0.21/0.57 p(s1, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(p(s1, s1, s1, s1, s0), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 10 (rule2) R->L }
% 0.21/0.57 fresh4(fresh5(p(s1, s1, s1, s0, s1), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(p(s1, s1, s1, s0, s0), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 9 (rule3) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(p(s1, s1, s0, s1, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(p(s1, s1, s0, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 10 (rule2) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(p(s1, s1, s0, s0, s1), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(p(s1, s1, s0, s0, s0), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 8 (rule4) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(p(s1, s0, s1, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(p(s1, s0, s1, s1, s0), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 10 (rule2) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(p(s1, s0, s1, s0, s1), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(p(s1, s0, s1, s0, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 9 (rule3) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(p(s1, s0, s0, s1, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(p(s1, s0, s0, s1, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 10 (rule2) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(p(s1, s0, s0, s0, s1), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(p(s1, s0, s0, s0, s0), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 7 (rule5) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(p(s0, s1, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(p(s0, s1, s1, s1, s0), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 10 (rule2) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(p(s0, s1, s1, s0, s1), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.57 = { by axiom 11 (rule1) R->L }
% 0.21/0.57 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(p(s0, s1, s1, s0, s0), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 9 (rule3) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(p(s0, s1, s0, s1, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 11 (rule1) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(p(s0, s1, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 10 (rule2) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(p(s0, s1, s0, s0, s1), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 11 (rule1) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(p(s0, s1, s0, s0, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 8 (rule4) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(p(s0, s0, s1, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 11 (rule1) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(p(s0, s0, s1, s1, s0), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 10 (rule2) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(p(s0, s0, s1, s0, s1), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 11 (rule1) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(p(s0, s0, s1, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 9 (rule3) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(p(s0, s0, s0, s1, s1), true, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 11 (rule1) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(p(s0, s0, s0, s1, s0), true, s0, s0, s0, s1), true, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 10 (rule2) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(p(s0, s0, s0, s0, s1), true, s0, s0, s0), true, s0, s0, s0, s1), true, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.58 = { by axiom 11 (rule1) R->L }
% 0.21/0.58 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(p(s0, s0, s0, s0, s0), true, s0, s0, s0, s0), true, s0, s0, s0), true, s0, s0, s0, s1), true, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 5 (init) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(true, true, s0, s0, s0, s0), true, s0, s0, s0), true, s0, s0, s0, s1), true, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(true, true, s0, s0, s0), true, s0, s0, s0, s1), true, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 4 (rule2) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(true, true, s0, s0, s0, s1), true, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(true, true, s0, s0), true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 3 (rule3) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(true, true, s0, s0, s1, s0), true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(true, true, s0, s0, s1), true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 4 (rule2) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(true, true, s0, s0, s1, s1), true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(true, true, s0), true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 2 (rule4) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(true, true, s0, s1, s0, s0), true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(true, true, s0, s1, s0), true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 4 (rule2) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(fresh4(true, true, s0, s1, s0, s1), true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(fresh3(true, true, s0, s1), true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 3 (rule3) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(fresh4(true, true, s0, s1, s1, s0), true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(fresh5(true, true, s0, s1, s1), true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 4 (rule2) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(fresh4(true, true, s0, s1, s1, s1), true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh(true, true), true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 1 (rule5) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(true, true, s1, s0, s0, s0), true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(true, true, s1, s0, s0), true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 4 (rule2) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(fresh4(true, true, s1, s0, s0, s1), true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(fresh3(true, true, s1, s0), true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 3 (rule3) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(fresh4(true, true, s1, s0, s1, s0), true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(fresh5(true, true, s1, s0, s1), true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 4 (rule2) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(fresh4(true, true, s1, s0, s1, s1), true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 6 (rule1) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(fresh2(true, true, s1), true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.59 = { by axiom 2 (rule4) }
% 0.21/0.59 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(fresh4(true, true, s1, s1, s0, s0), true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.60 = { by axiom 6 (rule1) }
% 0.21/0.60 fresh4(fresh5(fresh4(fresh3(fresh4(fresh5(true, true, s1, s1, s0), true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.60 = { by axiom 4 (rule2) }
% 0.21/0.60 fresh4(fresh5(fresh4(fresh3(fresh4(true, true, s1, s1, s0, s1), true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.60 = { by axiom 6 (rule1) }
% 0.21/0.60 fresh4(fresh5(fresh4(fresh3(true, true, s1, s1), true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.60 = { by axiom 3 (rule3) }
% 0.21/0.60 fresh4(fresh5(fresh4(true, true, s1, s1, s1, s0), true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.60 = { by axiom 6 (rule1) }
% 0.21/0.60 fresh4(fresh5(true, true, s1, s1, s1), true, s1, s1, s1, s1)
% 0.21/0.60 = { by axiom 4 (rule2) }
% 0.21/0.60 fresh4(true, true, s1, s1, s1, s1)
% 0.21/0.60 = { by axiom 6 (rule1) }
% 0.21/0.60 true
% 0.21/0.60 % SZS output end Proof
% 0.21/0.60
% 0.21/0.60 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------