%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:46:52 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Proof 9.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.16 % Computer : n011.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:20:04 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.25 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 0.07/0.25
% 0.07/0.25 % SZS status Unsatisfiable
% 0.07/0.25
% 9.30/3.24 % SZS output start Proof
% 9.30/3.24 Axiom 1 (base_1): p_1 = true.
% 9.30/3.24 Axiom 2 (base_2): q_1 = true.
% 9.30/3.24 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 9.30/3.24 Axiom 4 (pqp_1): ifeq(q_1, true, ifeq(p_1, true, p_2, true), true) = true.
% 9.30/3.24 Axiom 5 (pqq_1): ifeq(q_1, true, ifeq(p_1, true, q_2, true), true) = true.
% 9.30/3.24 Axiom 6 (pqp_2): ifeq(q_2, true, ifeq(p_2, true, p_3, true), true) = true.
% 9.30/3.24 Axiom 7 (pqq_2): ifeq(q_2, true, ifeq(p_2, true, q_3, true), true) = true.
% 9.30/3.24 Axiom 8 (pqp_3): ifeq(q_3, true, ifeq(p_3, true, p_4, true), true) = true.
% 9.30/3.24 Axiom 9 (pqq_3): ifeq(q_3, true, ifeq(p_3, true, q_4, true), true) = true.
% 9.30/3.24 Axiom 10 (pqp_4): ifeq(q_4, true, ifeq(p_4, true, p_5, true), true) = true.
% 9.30/3.24 Axiom 11 (pqq_4): ifeq(q_4, true, ifeq(p_4, true, q_5, true), true) = true.
% 9.30/3.24 Axiom 12 (pqp_5): ifeq(q_5, true, ifeq(p_5, true, p_6, true), true) = true.
% 9.30/3.24 Axiom 13 (pqq_5): ifeq(q_5, true, ifeq(p_5, true, q_6, true), true) = true.
% 9.30/3.24 Axiom 14 (pqp_6): ifeq(q_6, true, ifeq(p_6, true, p_7, true), true) = true.
% 9.30/3.26 Axiom 15 (pqq_6): ifeq(q_6, true, ifeq(p_6, true, q_7, true), true) = true.
% 9.30/3.26
% 9.30/3.26 Goal 1 (base_3): tuple(p_7, q_7) = tuple(true, true).
% 9.30/3.26 Proof:
% 9.30/3.26 tuple(p_7, q_7)
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(true, true, q_7, true))
% 9.30/3.26 = { by axiom 12 (pqp_5) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(q_5, true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(true, true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 8 (pqp_3) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 2 (base_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 1 (base_1) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 2 (base_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 1 (base_1) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 7 (pqq_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(p_3, true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 2 (base_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 1 (base_1) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 2 (base_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 1 (base_1) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 6 (pqp_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(p_4, true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(true, true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 9 (pqq_3) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 2 (base_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 1 (base_1) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 2 (base_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 1 (base_1) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 7 (pqq_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(p_3, true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 2 (base_2) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 1 (base_1) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.26 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.26 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.27 = { by axiom 6 (pqp_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(q_4, true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.27 = { by axiom 11 (pqq_4) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(true, true, ifeq(p_5, true, p_6, true), true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(p_5, true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(true, true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 8 (pqp_3) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 7 (pqq_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(p_3, true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 6 (pqp_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, p_4, true), true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(p_4, true, p_5, true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(true, true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 9 (pqq_3) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 7 (pqq_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(p_3, true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 6 (pqp_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(q_4, true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 10 (pqp_4) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(true, true, p_6, true), true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(p_6, true, q_7, true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(true, true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 13 (pqq_5) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(q_5, true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(true, true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 8 (pqp_3) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 1 (base_1) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 7 (pqq_2) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(p_3, true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.27 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.27 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 6 (pqp_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(p_4, true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(true, true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 9 (pqq_3) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 7 (pqq_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(p_3, true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 6 (pqp_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(q_4, true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 11 (pqq_4) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(true, true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(p_5, true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(true, true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 8 (pqp_3) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 7 (pqq_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(p_3, true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 2 (base_2) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 1 (base_1) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.28 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.28 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 6 (pqp_2) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(p_4, true, p_5, true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(true, true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 9 (pqq_3) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 7 (pqq_2) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(p_3, true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 6 (pqp_2) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(ifeq(true, true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(ifeq(q_4, true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 10 (pqp_4) }
% 9.30/3.29 tuple(p_7, ifeq(ifeq(true, true, q_6, true), true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(p_7, ifeq(q_6, true, ifeq(p_6, true, q_7, true), true))
% 9.30/3.29 = { by axiom 15 (pqq_6) }
% 9.30/3.29 tuple(p_7, true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(true, true, p_7, true), true)
% 9.30/3.29 = { by axiom 12 (pqp_5) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(q_5, true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(true, true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 8 (pqp_3) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 7 (pqq_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(p_3, true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 6 (pqp_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(true, true, p_4, true), true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(p_4, true, q_5, true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(true, true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 9 (pqq_3) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 7 (pqq_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(p_3, true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 6 (pqp_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(true, true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(q_4, true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 11 (pqq_4) }
% 9.30/3.29 tuple(ifeq(ifeq(true, true, ifeq(p_5, true, p_6, true), true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(p_5, true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(true, true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 8 (pqp_3) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 2 (base_2) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 1 (base_1) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.29 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.29 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 7 (pqq_2) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(p_3, true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 2 (base_2) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 1 (base_1) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 2 (base_2) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 1 (base_1) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 6 (pqp_2) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(true, true, p_4, true), true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(p_4, true, p_5, true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(true, true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 9 (pqq_3) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 4 (pqp_1) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 2 (base_2) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 1 (base_1) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 5 (pqq_1) R->L }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 2 (base_2) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 1 (base_1) }
% 9.30/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.30/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 7 (pqq_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(p_3, true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 6 (pqp_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(true, true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(q_4, true, ifeq(p_4, true, p_5, true), true), true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 10 (pqp_4) }
% 9.61/3.30 tuple(ifeq(ifeq(true, true, p_6, true), true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(p_6, true, p_7, true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(true, true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 13 (pqq_5) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(q_5, true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(true, true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 8 (pqp_3) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 7 (pqq_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, p_4, true), true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(p_3, true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 6 (pqp_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(true, true, p_4, true), true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(p_4, true, q_5, true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(true, true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 9 (pqq_3) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 7 (pqq_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(p_3, true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 2 (base_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 1 (base_1) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 6 (pqp_2) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(true, true, q_4, true), true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(q_4, true, ifeq(p_4, true, q_5, true), true), true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 11 (pqq_4) }
% 9.61/3.30 tuple(ifeq(ifeq(true, true, ifeq(p_5, true, q_6, true), true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.30 tuple(ifeq(ifeq(p_5, true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(true, true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 8 (pqp_3) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.30 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.30 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 2 (base_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 1 (base_1) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 2 (base_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 1 (base_1) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 7 (pqq_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, p_4, true), true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(p_3, true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 2 (base_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 1 (base_1) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 2 (base_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 1 (base_1) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 6 (pqp_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(true, true, p_4, true), true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(p_4, true, p_5, true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(true, true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 9 (pqq_3) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(q_3, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 2 (base_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 1 (base_1) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, q_3, true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 2 (base_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 1 (base_1) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, q_3, true), true), true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 7 (pqq_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_3, true, q_4, true), true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(p_3, true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 4 (pqp_1) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 2 (base_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, p_2, true), true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 1 (base_1) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p_2, true), true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(p_2, true, p_3, true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 5 (pqq_1) R->L }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(q_1, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 2 (base_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p_1, true, q_2, true), true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p_1, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 1 (base_1) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q_2, true), true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(ifeq(q_2, true, ifeq(p_2, true, p_3, true), true), true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 6 (pqp_2) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(ifeq(true, true, q_4, true), true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(ifeq(ifeq(q_4, true, ifeq(p_4, true, p_5, true), true), true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 10 (pqp_4) }
% 9.61/3.31 tuple(ifeq(ifeq(true, true, q_6, true), true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 3 (ifeq_axiom) }
% 9.61/3.31 tuple(ifeq(q_6, true, ifeq(p_6, true, p_7, true), true), true)
% 9.61/3.31 = { by axiom 14 (pqp_6) }
% 9.61/3.31 tuple(true, true)
% 9.61/3.31 % SZS output end Proof
% 9.61/3.31
% 9.61/3.31 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------