TSTP Solution File: KRS098+1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n020.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 05:52:53 EDT 2023
% Result : Unsatisfiable 0.19s 0.47s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n020.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 : 300
% 0.13/0.34 % DateTime : Mon Aug 28 02:25:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.19/0.47
% 0.19/0.47 % SZS status Unsatisfiable
% 0.19/0.47
% 0.19/0.49 % SZS output start Proof
% 0.19/0.49 Take the following subset of the input axioms:
% 0.19/0.51 fof(axiom_0, axiom, ![X]: (cowlThing(X) & ~cowlNothing(X))).
% 0.19/0.51 fof(axiom_1, axiom, ![X2]: (xsd_string(X2) <=> ~xsd_integer(X2))).
% 0.19/0.51 fof(axiom_10, axiom, ![Y, X2]: (rt1(X2, Y) => rtt(X2, Y))).
% 0.19/0.51 fof(axiom_11, axiom, ![X2, Y2]: (rt2(X2, Y2) => rtt(X2, Y2))).
% 0.19/0.51 fof(axiom_12, axiom, ![X2, Y2]: (rr3(X2, Y2) => rr(X2, Y2))).
% 0.19/0.51 fof(axiom_2, axiom, ![X2]: (cUnsatisfiable(X2) <=> (?[Y2]: (rr3(X2, Y2) & (?[Z]: (rt3(Y2, Z) & ce(Z)) & ![Z0, Z1]: ((rtt(Y2, Z0) & rtt(Y2, Z1)) => Z0=Z1))) & (?[Y2]: (rr2(X2, Y2) & (![Z0_2, Z1_2]: ((rtt(Y2, Z0_2) & rtt(Y2, Z1_2)) => Z0_2=Z1_2) & ?[Z2]: (rt2(Y2, Z2) & cd(Z2)))) & (~?[Y0, Y1]: (rr(X2, Y0) & (rr(X2, Y1) & Y0!=Y1)) & ?[Y2]: (rr1(X2, Y2) & (![Z0_2, Z1_2]: ((rtt(Y2, Z0_2) & rtt(Y2, Z1_2)) => Z0_2=Z1_2) & ?[Z2]: (rt1(Y2, Z2) & cc(Z2))))))))).
% 0.19/0.51 fof(axiom_4, axiom, cUnsatisfiable(i2003_11_14_17_20_25524)).
% 0.19/0.51 fof(axiom_5, axiom, ![X2]: ~(cc(X2) & cd(X2))).
% 0.19/0.51 fof(axiom_6, axiom, ![X2]: ~(ce(X2) & cc(X2))).
% 0.19/0.51 fof(axiom_7, axiom, ![X2]: ~(ce(X2) & cd(X2))).
% 0.19/0.51 fof(axiom_8, axiom, ![X2, Y2]: (rr1(X2, Y2) => rr(X2, Y2))).
% 0.19/0.51 fof(axiom_9, axiom, ![X2, Y2]: (rr2(X2, Y2) => rr(X2, Y2))).
% 0.19/0.51
% 0.19/0.51 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.51 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.51 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.51 fresh(y, y, x1...xn) = u
% 0.19/0.51 C => fresh(s, t, x1...xn) = v
% 0.19/0.51 where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.51 variables of u and v.
% 0.19/0.51 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.51 input problem has no model of domain size 1).
% 0.19/0.51
% 0.19/0.51 The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.51
% 0.19/0.51 Axiom 1 (axiom_4): cUnsatisfiable(i2003_11_14_17_20_25524) = true2.
% 0.19/0.51 Axiom 2 (axiom_2_10): fresh17(X, X, Y) = true2.
% 0.19/0.51 Axiom 3 (axiom_2_11): fresh16(X, X, Y) = true2.
% 0.19/0.51 Axiom 4 (axiom_2_12): fresh15(X, X, Y) = true2.
% 0.19/0.51 Axiom 5 (axiom_2_13): fresh14(X, X, Y) = true2.
% 0.19/0.51 Axiom 6 (axiom_2_6): fresh12(X, X, Y) = true2.
% 0.19/0.51 Axiom 7 (axiom_2_7): fresh11(X, X, Y) = true2.
% 0.19/0.51 Axiom 8 (axiom_2_9): fresh9(X, X, Y) = true2.
% 0.19/0.51 Axiom 9 (axiom_2_16): fresh35(X, X, Y, Z) = Z.
% 0.19/0.51 Axiom 10 (axiom_2_15): fresh33(X, X, Y, Z) = Z.
% 0.19/0.51 Axiom 11 (axiom_11): fresh21(X, X, Y, Z) = true2.
% 0.19/0.51 Axiom 12 (axiom_10): fresh20(X, X, Y, Z) = true2.
% 0.19/0.51 Axiom 13 (axiom_12): fresh19(X, X, Y, Z) = true2.
% 0.19/0.51 Axiom 14 (axiom_2_10): fresh17(cUnsatisfiable(X), true2, X) = rr2(X, y2(X)).
% 0.19/0.51 Axiom 15 (axiom_2_11): fresh16(cUnsatisfiable(X), true2, X) = rr3(X, y3(X)).
% 0.19/0.51 Axiom 16 (axiom_2_6): fresh12(cUnsatisfiable(X), true2, X) = cc(z(X)).
% 0.19/0.51 Axiom 17 (axiom_2_7): fresh11(cUnsatisfiable(X), true2, X) = cd(z2(X)).
% 0.19/0.51 Axiom 18 (axiom_2_9): fresh9(cUnsatisfiable(X), true2, X) = rr1(X, y(X)).
% 0.19/0.51 Axiom 19 (axiom_8): fresh6(X, X, Y, Z) = true2.
% 0.19/0.51 Axiom 20 (axiom_9): fresh5(X, X, Y, Z) = true2.
% 0.19/0.51 Axiom 21 (axiom_2_13): fresh14(cUnsatisfiable(X), true2, X) = rt2(y2(X), z2(X)).
% 0.19/0.51 Axiom 22 (axiom_2_12): fresh15(cUnsatisfiable(X), true2, X) = rt1(y(X), z(X)).
% 0.19/0.51 Axiom 23 (axiom_2_15): fresh(X, X, Y, Z, W) = Z.
% 0.19/0.51 Axiom 24 (axiom_2_16): fresh34(X, X, Y, Z, W) = fresh35(cUnsatisfiable(Y), true2, Z, W).
% 0.19/0.51 Axiom 25 (axiom_2_15): fresh32(X, X, Y, Z, W) = fresh33(cUnsatisfiable(Y), true2, Z, W).
% 0.19/0.51 Axiom 26 (axiom_2_16): fresh2(X, X, Y, Z, W) = Z.
% 0.19/0.51 Axiom 27 (axiom_11): fresh21(rt2(X, Y), true2, X, Y) = rtt(X, Y).
% 0.19/0.51 Axiom 28 (axiom_10): fresh20(rt1(X, Y), true2, X, Y) = rtt(X, Y).
% 0.19/0.51 Axiom 29 (axiom_12): fresh19(rr3(X, Y), true2, X, Y) = rr(X, Y).
% 0.19/0.51 Axiom 30 (axiom_8): fresh6(rr1(X, Y), true2, X, Y) = rr(X, Y).
% 0.19/0.51 Axiom 31 (axiom_9): fresh5(rr2(X, Y), true2, X, Y) = rr(X, Y).
% 0.19/0.51 Axiom 32 (axiom_2_15): fresh32(rr(X, Y), true2, X, Z, Y) = fresh(rr(X, Z), true2, X, Z, Y).
% 0.19/0.51 Axiom 33 (axiom_2_16): fresh34(rtt(y3(X), Y), true2, X, Z, Y) = fresh2(rtt(y3(X), Z), true2, X, Z, Y).
% 0.19/0.51
% 0.19/0.51 Lemma 34: fresh(rr(i2003_11_14_17_20_25524, X), true2, i2003_11_14_17_20_25524, X, y2(i2003_11_14_17_20_25524)) = y2(i2003_11_14_17_20_25524).
% 0.19/0.51 Proof:
% 0.19/0.51 fresh(rr(i2003_11_14_17_20_25524, X), true2, i2003_11_14_17_20_25524, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 32 (axiom_2_15) R->L }
% 0.19/0.51 fresh32(rr(i2003_11_14_17_20_25524, y2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 31 (axiom_9) R->L }
% 0.19/0.51 fresh32(fresh5(rr2(i2003_11_14_17_20_25524, y2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 14 (axiom_2_10) R->L }
% 0.19/0.51 fresh32(fresh5(fresh17(cUnsatisfiable(i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524, y2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 1 (axiom_4) }
% 0.19/0.51 fresh32(fresh5(fresh17(true2, true2, i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524, y2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 2 (axiom_2_10) }
% 0.19/0.51 fresh32(fresh5(true2, true2, i2003_11_14_17_20_25524, y2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 20 (axiom_9) }
% 0.19/0.51 fresh32(true2, true2, i2003_11_14_17_20_25524, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 25 (axiom_2_15) }
% 0.19/0.51 fresh33(cUnsatisfiable(i2003_11_14_17_20_25524), true2, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 1 (axiom_4) }
% 0.19/0.51 fresh33(true2, true2, X, y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 10 (axiom_2_15) }
% 0.19/0.51 y2(i2003_11_14_17_20_25524)
% 0.19/0.51
% 0.19/0.51 Lemma 35: y2(i2003_11_14_17_20_25524) = y3(i2003_11_14_17_20_25524).
% 0.19/0.51 Proof:
% 0.19/0.51 y2(i2003_11_14_17_20_25524)
% 0.19/0.51 = { by lemma 34 R->L }
% 0.19/0.51 fresh(rr(i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 29 (axiom_12) R->L }
% 0.19/0.51 fresh(fresh19(rr3(i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 15 (axiom_2_11) R->L }
% 0.19/0.51 fresh(fresh19(fresh16(cUnsatisfiable(i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 1 (axiom_4) }
% 0.19/0.51 fresh(fresh19(fresh16(true2, true2, i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 3 (axiom_2_11) }
% 0.19/0.51 fresh(fresh19(true2, true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 13 (axiom_12) }
% 0.19/0.51 fresh(true2, true2, i2003_11_14_17_20_25524, y3(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 23 (axiom_2_15) }
% 0.19/0.51 y3(i2003_11_14_17_20_25524)
% 0.19/0.51
% 0.19/0.51 Goal 1 (axiom_5): tuple(cc(X), cd(X)) = tuple(true2, true2).
% 0.19/0.51 The goal is true when:
% 0.19/0.51 X = z(i2003_11_14_17_20_25524)
% 0.19/0.51
% 0.19/0.51 Proof:
% 0.19/0.51 tuple(cc(z(i2003_11_14_17_20_25524)), cd(z(i2003_11_14_17_20_25524)))
% 0.19/0.51 = { by axiom 16 (axiom_2_6) R->L }
% 0.19/0.51 tuple(fresh12(cUnsatisfiable(i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524), cd(z(i2003_11_14_17_20_25524)))
% 0.19/0.51 = { by axiom 1 (axiom_4) }
% 0.19/0.51 tuple(fresh12(true2, true2, i2003_11_14_17_20_25524), cd(z(i2003_11_14_17_20_25524)))
% 0.19/0.51 = { by axiom 6 (axiom_2_6) }
% 0.19/0.51 tuple(true2, cd(z(i2003_11_14_17_20_25524)))
% 0.19/0.51 = { by axiom 26 (axiom_2_16) R->L }
% 0.19/0.51 tuple(true2, cd(fresh2(true2, true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 12 (axiom_10) R->L }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(true2, true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 4 (axiom_2_12) R->L }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(fresh15(true2, true2, i2003_11_14_17_20_25524), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 1 (axiom_4) R->L }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(fresh15(cUnsatisfiable(i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 22 (axiom_2_12) }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(y(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 23 (axiom_2_15) R->L }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(fresh(true2, true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524)), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 19 (axiom_8) R->L }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(fresh(fresh6(true2, true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524)), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 8 (axiom_2_9) R->L }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(fresh(fresh6(fresh9(true2, true2, i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524)), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 1 (axiom_4) R->L }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(fresh(fresh6(fresh9(cUnsatisfiable(i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524)), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 18 (axiom_2_9) }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(fresh(fresh6(rr1(i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524)), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 30 (axiom_8) }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(fresh(rr(i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, y(i2003_11_14_17_20_25524), y2(i2003_11_14_17_20_25524)), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by lemma 34 }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(y2(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by lemma 35 }
% 0.19/0.51 tuple(true2, cd(fresh2(fresh20(rt1(y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 28 (axiom_10) }
% 0.19/0.51 tuple(true2, cd(fresh2(rtt(y3(i2003_11_14_17_20_25524), z(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 33 (axiom_2_16) R->L }
% 0.19/0.51 tuple(true2, cd(fresh34(rtt(y3(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 27 (axiom_11) R->L }
% 0.19/0.51 tuple(true2, cd(fresh34(fresh21(rt2(y3(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by lemma 35 R->L }
% 0.19/0.51 tuple(true2, cd(fresh34(fresh21(rt2(y2(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524)), true2, y3(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 21 (axiom_2_13) R->L }
% 0.19/0.51 tuple(true2, cd(fresh34(fresh21(fresh14(cUnsatisfiable(i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524), true2, y3(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 1 (axiom_4) }
% 0.19/0.51 tuple(true2, cd(fresh34(fresh21(fresh14(true2, true2, i2003_11_14_17_20_25524), true2, y3(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 5 (axiom_2_13) }
% 0.19/0.51 tuple(true2, cd(fresh34(fresh21(true2, true2, y3(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524)), true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 11 (axiom_11) }
% 0.19/0.51 tuple(true2, cd(fresh34(true2, true2, i2003_11_14_17_20_25524, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 24 (axiom_2_16) }
% 0.19/0.51 tuple(true2, cd(fresh35(cUnsatisfiable(i2003_11_14_17_20_25524), true2, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 1 (axiom_4) }
% 0.19/0.51 tuple(true2, cd(fresh35(true2, true2, z(i2003_11_14_17_20_25524), z2(i2003_11_14_17_20_25524))))
% 0.19/0.51 = { by axiom 9 (axiom_2_16) }
% 0.19/0.51 tuple(true2, cd(z2(i2003_11_14_17_20_25524)))
% 0.19/0.51 = { by axiom 17 (axiom_2_7) R->L }
% 0.19/0.51 tuple(true2, fresh11(cUnsatisfiable(i2003_11_14_17_20_25524), true2, i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 1 (axiom_4) }
% 0.19/0.51 tuple(true2, fresh11(true2, true2, i2003_11_14_17_20_25524))
% 0.19/0.51 = { by axiom 7 (axiom_2_7) }
% 0.19/0.51 tuple(true2, true2)
% 0.19/0.51 % SZS output end Proof
% 0.19/0.51
% 0.19/0.51 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------