TSTP Solution File: SYN100-1.005 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN100-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Fri Sep 1 03:33:10 EDT 2023
% Result : Unsatisfiable 0.21s 0.46s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN100-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 19:02:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.46 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 0.21/0.46
% 0.21/0.46 % SZS status Unsatisfiable
% 0.21/0.46
% 0.21/0.47 % SZS output start Proof
% 0.21/0.47 Take the following subset of the input axioms:
% 0.21/0.48 fof(m_s3_goal_1, negated_conjecture, ![X]: (~p_0(X) | ~q_0(X))).
% 0.21/0.48 fof(m_s3_type11_11, axiom, ![X2]: (p_5(X2) | (~p_6(X2) | ~p_7(X2)))).
% 0.21/0.48 fof(m_s3_type11_13, axiom, ![X2]: (p_6(X2) | (~p_7(X2) | ~p_8(X2)))).
% 0.21/0.48 fof(m_s3_type11_15, axiom, ![X2]: (p_7(X2) | (~p_8(X2) | ~p_9(X2)))).
% 0.21/0.48 fof(m_s3_type11_2, axiom, ![X2]: (p_0(X2) | (~q_1(X2) | ~q_2(X2)))).
% 0.21/0.48 fof(m_s3_type11_3, axiom, ![X2]: (p_1(X2) | (~p_2(X2) | ~p_3(X2)))).
% 0.21/0.48 fof(m_s3_type11_5, axiom, ![X2]: (p_2(X2) | (~p_3(X2) | ~p_4(X2)))).
% 0.21/0.48 fof(m_s3_type11_7, axiom, ![X2]: (p_3(X2) | (~p_4(X2) | ~p_5(X2)))).
% 0.21/0.48 fof(m_s3_type11_9, axiom, ![X2]: (p_4(X2) | (~p_5(X2) | ~p_6(X2)))).
% 0.21/0.48 fof(m_s3_type12_1, axiom, ![X2]: (q_0(X2) | (~p_1(X2) | ~q_2(X2)))).
% 0.21/0.48 fof(m_s3_type12_11, axiom, ![X2]: (q_5(X2) | (~p_6(X2) | ~q_7(X2)))).
% 0.21/0.48 fof(m_s3_type12_13, axiom, ![X2]: (q_6(X2) | (~p_7(X2) | ~q_8(X2)))).
% 0.21/0.48 fof(m_s3_type12_15, axiom, ![X2]: (q_7(X2) | (~p_8(X2) | ~q_9(X2)))).
% 0.21/0.48 fof(m_s3_type12_3, axiom, ![X2]: (q_1(X2) | (~p_2(X2) | ~q_3(X2)))).
% 0.21/0.48 fof(m_s3_type12_5, axiom, ![X2]: (q_2(X2) | (~p_3(X2) | ~q_4(X2)))).
% 0.21/0.48 fof(m_s3_type12_7, axiom, ![X2]: (q_3(X2) | (~p_4(X2) | ~q_5(X2)))).
% 0.21/0.48 fof(m_s3_type12_9, axiom, ![X2]: (q_4(X2) | (~p_5(X2) | ~q_6(X2)))).
% 0.21/0.48 fof(m_t3_1, axiom, p_8(a)).
% 0.21/0.48 fof(m_t3_2, axiom, p_9(a)).
% 0.21/0.48 fof(m_t3_3, axiom, q_8(a)).
% 0.21/0.48 fof(m_t3_4, axiom, q_9(a)).
% 0.21/0.48
% 0.21/0.48 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.21/0.48 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.21/0.48 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.21/0.48 fresh(y, y, x1...xn) = u
% 0.21/0.48 C => fresh(s, t, x1...xn) = v
% 0.21/0.48 where fresh is a fresh function symbol and x1..xn are the free
% 0.21/0.48 variables of u and v.
% 0.21/0.48 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.21/0.48 input problem has no model of domain size 1).
% 0.21/0.48
% 0.21/0.48 The encoding turns the above axioms into the following unit equations and goals:
% 0.21/0.48
% 0.21/0.48 Axiom 1 (m_t3_1): p_8(a) = true2.
% 0.21/0.48 Axiom 2 (m_t3_3): q_8(a) = true2.
% 0.21/0.48 Axiom 3 (m_t3_2): p_9(a) = true2.
% 0.21/0.48 Axiom 4 (m_t3_4): q_9(a) = true2.
% 0.21/0.48 Axiom 5 (m_s3_type11_11): fresh68(X, X, Y) = p_5(Y).
% 0.21/0.48 Axiom 6 (m_s3_type11_11): fresh67(X, X, Y) = true2.
% 0.21/0.48 Axiom 7 (m_s3_type11_13): fresh64(X, X, Y) = p_6(Y).
% 0.21/0.48 Axiom 8 (m_s3_type11_13): fresh63(X, X, Y) = true2.
% 0.21/0.48 Axiom 9 (m_s3_type11_15): fresh60(X, X, Y) = p_7(Y).
% 0.21/0.48 Axiom 10 (m_s3_type11_15): fresh59(X, X, Y) = true2.
% 0.21/0.48 Axiom 11 (m_s3_type11_2): fresh56(X, X, Y) = p_0(Y).
% 0.21/0.48 Axiom 12 (m_s3_type11_2): fresh55(X, X, Y) = true2.
% 0.21/0.48 Axiom 13 (m_s3_type11_3): fresh54(X, X, Y) = p_1(Y).
% 0.21/0.48 Axiom 14 (m_s3_type11_3): fresh53(X, X, Y) = true2.
% 0.21/0.48 Axiom 15 (m_s3_type11_5): fresh50(X, X, Y) = p_2(Y).
% 0.21/0.48 Axiom 16 (m_s3_type11_5): fresh49(X, X, Y) = true2.
% 0.21/0.48 Axiom 17 (m_s3_type11_7): fresh46(X, X, Y) = p_3(Y).
% 0.21/0.48 Axiom 18 (m_s3_type11_7): fresh45(X, X, Y) = true2.
% 0.21/0.48 Axiom 19 (m_s3_type11_9): fresh42(X, X, Y) = p_4(Y).
% 0.21/0.48 Axiom 20 (m_s3_type11_9): fresh41(X, X, Y) = true2.
% 0.21/0.48 Axiom 21 (m_s3_type12_1): fresh40(X, X, Y) = q_0(Y).
% 0.21/0.48 Axiom 22 (m_s3_type12_1): fresh39(X, X, Y) = true2.
% 0.21/0.48 Axiom 23 (m_s3_type12_11): fresh36(X, X, Y) = q_5(Y).
% 0.21/0.48 Axiom 24 (m_s3_type12_11): fresh35(X, X, Y) = true2.
% 0.21/0.48 Axiom 25 (m_s3_type12_13): fresh32(X, X, Y) = q_6(Y).
% 0.21/0.48 Axiom 26 (m_s3_type12_13): fresh31(X, X, Y) = true2.
% 0.21/0.48 Axiom 27 (m_s3_type12_15): fresh28(X, X, Y) = q_7(Y).
% 0.21/0.48 Axiom 28 (m_s3_type12_15): fresh27(X, X, Y) = true2.
% 0.21/0.48 Axiom 29 (m_s3_type12_3): fresh22(X, X, Y) = q_1(Y).
% 0.21/0.48 Axiom 30 (m_s3_type12_3): fresh21(X, X, Y) = true2.
% 0.21/0.48 Axiom 31 (m_s3_type12_5): fresh18(X, X, Y) = q_2(Y).
% 0.21/0.48 Axiom 32 (m_s3_type12_5): fresh17(X, X, Y) = true2.
% 0.21/0.48 Axiom 33 (m_s3_type12_7): fresh14(X, X, Y) = q_3(Y).
% 0.21/0.48 Axiom 34 (m_s3_type12_7): fresh13(X, X, Y) = true2.
% 0.21/0.48 Axiom 35 (m_s3_type12_9): fresh10(X, X, Y) = q_4(Y).
% 0.21/0.48 Axiom 36 (m_s3_type12_9): fresh9(X, X, Y) = true2.
% 0.21/0.48 Axiom 37 (m_s3_type11_11): fresh68(p_7(X), true2, X) = fresh67(p_6(X), true2, X).
% 0.21/0.48 Axiom 38 (m_s3_type11_13): fresh64(p_8(X), true2, X) = fresh63(p_7(X), true2, X).
% 0.21/0.48 Axiom 39 (m_s3_type11_15): fresh60(p_9(X), true2, X) = fresh59(p_8(X), true2, X).
% 0.21/0.48 Axiom 40 (m_s3_type11_2): fresh56(q_2(X), true2, X) = fresh55(q_1(X), true2, X).
% 0.21/0.48 Axiom 41 (m_s3_type11_3): fresh54(p_3(X), true2, X) = fresh53(p_2(X), true2, X).
% 0.21/0.48 Axiom 42 (m_s3_type11_5): fresh50(p_4(X), true2, X) = fresh49(p_3(X), true2, X).
% 0.21/0.48 Axiom 43 (m_s3_type11_7): fresh46(p_5(X), true2, X) = fresh45(p_4(X), true2, X).
% 0.21/0.48 Axiom 44 (m_s3_type11_9): fresh42(p_6(X), true2, X) = fresh41(p_5(X), true2, X).
% 0.21/0.48 Axiom 45 (m_s3_type12_1): fresh40(q_2(X), true2, X) = fresh39(p_1(X), true2, X).
% 0.21/0.48 Axiom 46 (m_s3_type12_11): fresh36(q_7(X), true2, X) = fresh35(p_6(X), true2, X).
% 0.21/0.48 Axiom 47 (m_s3_type12_13): fresh32(q_8(X), true2, X) = fresh31(p_7(X), true2, X).
% 0.21/0.48 Axiom 48 (m_s3_type12_15): fresh28(q_9(X), true2, X) = fresh27(p_8(X), true2, X).
% 0.21/0.48 Axiom 49 (m_s3_type12_3): fresh22(q_3(X), true2, X) = fresh21(p_2(X), true2, X).
% 0.21/0.48 Axiom 50 (m_s3_type12_5): fresh18(q_4(X), true2, X) = fresh17(p_3(X), true2, X).
% 0.21/0.48 Axiom 51 (m_s3_type12_7): fresh14(q_5(X), true2, X) = fresh13(p_4(X), true2, X).
% 0.21/0.48 Axiom 52 (m_s3_type12_9): fresh10(q_6(X), true2, X) = fresh9(p_5(X), true2, X).
% 0.21/0.48
% 0.21/0.48 Lemma 53: p_7(a) = true2.
% 0.21/0.48 Proof:
% 0.21/0.48 p_7(a)
% 0.21/0.48 = { by axiom 9 (m_s3_type11_15) R->L }
% 0.21/0.48 fresh60(true2, true2, a)
% 0.21/0.48 = { by axiom 3 (m_t3_2) R->L }
% 0.21/0.48 fresh60(p_9(a), true2, a)
% 0.21/0.48 = { by axiom 39 (m_s3_type11_15) }
% 0.21/0.48 fresh59(p_8(a), true2, a)
% 0.21/0.48 = { by axiom 1 (m_t3_1) }
% 0.21/0.48 fresh59(true2, true2, a)
% 0.21/0.48 = { by axiom 10 (m_s3_type11_15) }
% 0.21/0.48 true2
% 0.21/0.48
% 0.21/0.48 Lemma 54: p_6(a) = true2.
% 0.21/0.48 Proof:
% 0.21/0.48 p_6(a)
% 0.21/0.48 = { by axiom 7 (m_s3_type11_13) R->L }
% 0.21/0.48 fresh64(true2, true2, a)
% 0.21/0.48 = { by axiom 1 (m_t3_1) R->L }
% 0.21/0.48 fresh64(p_8(a), true2, a)
% 0.21/0.48 = { by axiom 38 (m_s3_type11_13) }
% 0.21/0.48 fresh63(p_7(a), true2, a)
% 0.21/0.48 = { by lemma 53 }
% 0.21/0.48 fresh63(true2, true2, a)
% 0.21/0.48 = { by axiom 8 (m_s3_type11_13) }
% 0.21/0.48 true2
% 0.21/0.48
% 0.21/0.48 Lemma 55: p_5(a) = true2.
% 0.21/0.48 Proof:
% 0.21/0.48 p_5(a)
% 0.21/0.48 = { by axiom 5 (m_s3_type11_11) R->L }
% 0.21/0.48 fresh68(true2, true2, a)
% 0.21/0.48 = { by lemma 53 R->L }
% 0.21/0.48 fresh68(p_7(a), true2, a)
% 0.21/0.48 = { by axiom 37 (m_s3_type11_11) }
% 0.21/0.48 fresh67(p_6(a), true2, a)
% 0.21/0.48 = { by lemma 54 }
% 0.21/0.48 fresh67(true2, true2, a)
% 0.21/0.48 = { by axiom 6 (m_s3_type11_11) }
% 0.21/0.48 true2
% 0.21/0.48
% 0.21/0.48 Lemma 56: p_4(a) = true2.
% 0.21/0.48 Proof:
% 0.21/0.48 p_4(a)
% 0.21/0.48 = { by axiom 19 (m_s3_type11_9) R->L }
% 0.21/0.48 fresh42(true2, true2, a)
% 0.21/0.48 = { by lemma 54 R->L }
% 0.21/0.48 fresh42(p_6(a), true2, a)
% 0.21/0.48 = { by axiom 44 (m_s3_type11_9) }
% 0.21/0.48 fresh41(p_5(a), true2, a)
% 0.21/0.48 = { by lemma 55 }
% 0.21/0.48 fresh41(true2, true2, a)
% 0.21/0.48 = { by axiom 20 (m_s3_type11_9) }
% 0.21/0.48 true2
% 0.21/0.48
% 0.21/0.48 Lemma 57: p_3(a) = true2.
% 0.21/0.48 Proof:
% 0.21/0.48 p_3(a)
% 0.21/0.48 = { by axiom 17 (m_s3_type11_7) R->L }
% 0.21/0.48 fresh46(true2, true2, a)
% 0.21/0.48 = { by lemma 55 R->L }
% 0.21/0.48 fresh46(p_5(a), true2, a)
% 0.21/0.48 = { by axiom 43 (m_s3_type11_7) }
% 0.21/0.48 fresh45(p_4(a), true2, a)
% 0.21/0.48 = { by lemma 56 }
% 0.21/0.48 fresh45(true2, true2, a)
% 0.21/0.48 = { by axiom 18 (m_s3_type11_7) }
% 0.21/0.48 true2
% 0.21/0.48
% 0.21/0.48 Lemma 58: p_2(a) = true2.
% 0.21/0.48 Proof:
% 0.21/0.48 p_2(a)
% 0.21/0.48 = { by axiom 15 (m_s3_type11_5) R->L }
% 0.21/0.48 fresh50(true2, true2, a)
% 0.21/0.48 = { by lemma 56 R->L }
% 0.21/0.48 fresh50(p_4(a), true2, a)
% 0.21/0.48 = { by axiom 42 (m_s3_type11_5) }
% 0.21/0.48 fresh49(p_3(a), true2, a)
% 0.21/0.48 = { by lemma 57 }
% 0.21/0.48 fresh49(true2, true2, a)
% 0.21/0.48 = { by axiom 16 (m_s3_type11_5) }
% 0.21/0.48 true2
% 0.21/0.48
% 0.21/0.48 Lemma 59: q_2(a) = true2.
% 0.21/0.48 Proof:
% 0.21/0.48 q_2(a)
% 0.21/0.48 = { by axiom 31 (m_s3_type12_5) R->L }
% 0.21/0.48 fresh18(true2, true2, a)
% 0.21/0.48 = { by axiom 36 (m_s3_type12_9) R->L }
% 0.21/0.48 fresh18(fresh9(true2, true2, a), true2, a)
% 0.21/0.48 = { by lemma 55 R->L }
% 0.21/0.48 fresh18(fresh9(p_5(a), true2, a), true2, a)
% 0.21/0.48 = { by axiom 52 (m_s3_type12_9) R->L }
% 0.21/0.48 fresh18(fresh10(q_6(a), true2, a), true2, a)
% 0.21/0.48 = { by axiom 25 (m_s3_type12_13) R->L }
% 0.21/0.48 fresh18(fresh10(fresh32(true2, true2, a), true2, a), true2, a)
% 0.21/0.48 = { by axiom 2 (m_t3_3) R->L }
% 0.21/0.48 fresh18(fresh10(fresh32(q_8(a), true2, a), true2, a), true2, a)
% 0.21/0.48 = { by axiom 47 (m_s3_type12_13) }
% 0.21/0.48 fresh18(fresh10(fresh31(p_7(a), true2, a), true2, a), true2, a)
% 0.21/0.48 = { by lemma 53 }
% 0.21/0.48 fresh18(fresh10(fresh31(true2, true2, a), true2, a), true2, a)
% 0.21/0.48 = { by axiom 26 (m_s3_type12_13) }
% 0.21/0.48 fresh18(fresh10(true2, true2, a), true2, a)
% 0.21/0.48 = { by axiom 35 (m_s3_type12_9) }
% 0.21/0.48 fresh18(q_4(a), true2, a)
% 0.21/0.48 = { by axiom 50 (m_s3_type12_5) }
% 0.21/0.48 fresh17(p_3(a), true2, a)
% 0.21/0.48 = { by lemma 57 }
% 0.21/0.48 fresh17(true2, true2, a)
% 0.21/0.48 = { by axiom 32 (m_s3_type12_5) }
% 0.21/0.48 true2
% 0.21/0.48
% 0.21/0.48 Goal 1 (m_s3_goal_1): tuple(p_0(X), q_0(X)) = tuple(true2, true2).
% 0.21/0.48 The goal is true when:
% 0.21/0.48 X = a
% 0.21/0.48
% 0.21/0.48 Proof:
% 0.21/0.48 tuple(p_0(a), q_0(a))
% 0.21/0.48 = { by axiom 11 (m_s3_type11_2) R->L }
% 0.21/0.48 tuple(fresh56(true2, true2, a), q_0(a))
% 0.21/0.48 = { by lemma 59 R->L }
% 0.21/0.48 tuple(fresh56(q_2(a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 40 (m_s3_type11_2) }
% 0.21/0.48 tuple(fresh55(q_1(a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 29 (m_s3_type12_3) R->L }
% 0.21/0.48 tuple(fresh55(fresh22(true2, true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 34 (m_s3_type12_7) R->L }
% 0.21/0.48 tuple(fresh55(fresh22(fresh13(true2, true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by lemma 56 R->L }
% 0.21/0.48 tuple(fresh55(fresh22(fresh13(p_4(a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 51 (m_s3_type12_7) R->L }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(q_5(a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 23 (m_s3_type12_11) R->L }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(fresh36(true2, true2, a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 28 (m_s3_type12_15) R->L }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(fresh36(fresh27(true2, true2, a), true2, a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 1 (m_t3_1) R->L }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(fresh36(fresh27(p_8(a), true2, a), true2, a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 48 (m_s3_type12_15) R->L }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(fresh36(fresh28(q_9(a), true2, a), true2, a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 4 (m_t3_4) }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(fresh36(fresh28(true2, true2, a), true2, a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 27 (m_s3_type12_15) }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(fresh36(q_7(a), true2, a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 46 (m_s3_type12_11) }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(fresh35(p_6(a), true2, a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by lemma 54 }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(fresh35(true2, true2, a), true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 24 (m_s3_type12_11) }
% 0.21/0.48 tuple(fresh55(fresh22(fresh14(true2, true2, a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 33 (m_s3_type12_7) }
% 0.21/0.48 tuple(fresh55(fresh22(q_3(a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 49 (m_s3_type12_3) }
% 0.21/0.48 tuple(fresh55(fresh21(p_2(a), true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by lemma 58 }
% 0.21/0.48 tuple(fresh55(fresh21(true2, true2, a), true2, a), q_0(a))
% 0.21/0.48 = { by axiom 30 (m_s3_type12_3) }
% 0.21/0.48 tuple(fresh55(true2, true2, a), q_0(a))
% 0.21/0.48 = { by axiom 12 (m_s3_type11_2) }
% 0.21/0.48 tuple(true2, q_0(a))
% 0.21/0.48 = { by axiom 21 (m_s3_type12_1) R->L }
% 0.21/0.48 tuple(true2, fresh40(true2, true2, a))
% 0.21/0.48 = { by lemma 59 R->L }
% 0.21/0.48 tuple(true2, fresh40(q_2(a), true2, a))
% 0.21/0.48 = { by axiom 45 (m_s3_type12_1) }
% 0.21/0.48 tuple(true2, fresh39(p_1(a), true2, a))
% 0.21/0.48 = { by axiom 13 (m_s3_type11_3) R->L }
% 0.21/0.48 tuple(true2, fresh39(fresh54(true2, true2, a), true2, a))
% 0.21/0.48 = { by lemma 57 R->L }
% 0.21/0.48 tuple(true2, fresh39(fresh54(p_3(a), true2, a), true2, a))
% 0.21/0.48 = { by axiom 41 (m_s3_type11_3) }
% 0.21/0.48 tuple(true2, fresh39(fresh53(p_2(a), true2, a), true2, a))
% 0.21/0.48 = { by lemma 58 }
% 0.21/0.48 tuple(true2, fresh39(fresh53(true2, true2, a), true2, a))
% 0.21/0.48 = { by axiom 14 (m_s3_type11_3) }
% 0.21/0.48 tuple(true2, fresh39(true2, true2, a))
% 0.21/0.48 = { by axiom 22 (m_s3_type12_1) }
% 0.21/0.48 tuple(true2, true2)
% 0.21/0.48 % SZS output end Proof
% 0.21/0.48
% 0.21/0.48 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------