%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN603-1 : TPTP v9.3.1. Released v2.5.0.
% 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 01:48:10 PM UTC 2026
% Result : Unsatisfiable 92.03s 11.80s
% Output : Proof 92.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN603-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:36:05 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.03/11.80 Command-line arguments: --flatten --complete-subsets
% 92.03/11.80
% 92.03/11.80 % SZS status Unsatisfiable
% 92.03/11.80
% 92.03/11.82 % SZS output start Proof
% 92.03/11.83 Axiom 1 (c20_is_p14_1): p14(c20) = true.
% 92.03/11.83 Axiom 2 (p15_3): p15(c22, c21) = true.
% 92.03/11.83 Axiom 3 (p2_2): p2(X, X) = true.
% 92.03/11.83 Axiom 4 (p2_4): p2(f3(c18), c19) = true.
% 92.03/11.83 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 92.03/11.83 Axiom 6 (p2_5): p2(c22, f9(c20, c23)) = true.
% 92.03/11.83 Axiom 7 (p2_6): p2(f3(f4(c16)), c17) = true.
% 92.03/11.83 Axiom 8 (p2_19): p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))) = true.
% 92.03/11.83 Axiom 9 (p2_14): ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), true), true) = true.
% 92.03/11.83 Axiom 10 (p2_21): ifeq(p2(X, Y), true, ifeq(p2(Z, W), true, p2(f6(Z, X), f6(W, Y)), true), true) = true.
% 92.03/11.83
% 92.03/11.83 Lemma 11: p2(f3(c18), c19) = p14(c20).
% 92.03/11.83 Proof:
% 92.03/11.83 p2(f3(c18), c19)
% 92.03/11.83 = { by axiom 4 (p2_4) }
% 92.03/11.83 true
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 p14(c20)
% 92.03/11.83
% 92.03/11.83 Lemma 12: p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))) = p2(f3(c18), c19).
% 92.03/11.83 Proof:
% 92.03/11.83 p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))
% 92.03/11.83 = { by axiom 8 (p2_19) }
% 92.03/11.83 true
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 p14(c20)
% 92.03/11.83 = { by lemma 11 R->L }
% 92.03/11.83 p2(f3(c18), c19)
% 92.03/11.83
% 92.03/11.83 Lemma 13: ifeq(p2(X, Y), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(X, Z), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(Z, Y), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))) = p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))).
% 92.03/11.83 Proof:
% 92.03/11.83 ifeq(p2(X, Y), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(X, Z), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(Z, Y), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 }
% 92.03/11.83 ifeq(p2(X, Y), p2(f3(c18), c19), ifeq(p2(X, Z), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(Z, Y), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 }
% 92.03/11.83 ifeq(p2(X, Y), p2(f3(c18), c19), ifeq(p2(X, Z), p2(f3(c18), c19), p2(Z, Y), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 }
% 92.03/11.83 ifeq(p2(X, Y), p2(f3(c18), c19), ifeq(p2(X, Z), p2(f3(c18), c19), p2(Z, Y), p2(f3(c18), c19)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 }
% 92.03/11.83 ifeq(p2(X, Y), p2(f3(c18), c19), ifeq(p2(X, Z), p2(f3(c18), c19), p2(Z, Y), p2(f3(c18), c19)), p2(f3(c18), c19))
% 92.03/11.83 = { by lemma 11 }
% 92.03/11.83 ifeq(p2(X, Y), p14(c20), ifeq(p2(X, Z), p2(f3(c18), c19), p2(Z, Y), p2(f3(c18), c19)), p2(f3(c18), c19))
% 92.03/11.83 = { by lemma 11 }
% 92.03/11.83 ifeq(p2(X, Y), p14(c20), ifeq(p2(X, Z), p14(c20), p2(Z, Y), p2(f3(c18), c19)), p2(f3(c18), c19))
% 92.03/11.83 = { by lemma 11 }
% 92.03/11.83 ifeq(p2(X, Y), p14(c20), ifeq(p2(X, Z), p14(c20), p2(Z, Y), p14(c20)), p2(f3(c18), c19))
% 92.03/11.83 = { by lemma 11 }
% 92.03/11.83 ifeq(p2(X, Y), p14(c20), ifeq(p2(X, Z), p14(c20), p2(Z, Y), p14(c20)), p14(c20))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) }
% 92.03/11.83 ifeq(p2(X, Y), true, ifeq(p2(X, Z), p14(c20), p2(Z, Y), p14(c20)), p14(c20))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) }
% 92.03/11.83 ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), p14(c20)), p14(c20))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) }
% 92.03/11.83 ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), true), p14(c20))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) }
% 92.03/11.83 ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), true), true)
% 92.03/11.83 = { by axiom 9 (p2_14) }
% 92.03/11.83 true
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 p14(c20)
% 92.03/11.83 = { by lemma 11 R->L }
% 92.03/11.83 p2(f3(c18), c19)
% 92.03/11.83 = { by lemma 12 R->L }
% 92.03/11.83 p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))
% 92.03/11.83
% 92.03/11.83 Goal 1 (not_p15_26): tuple(p2(X, f9(c20, Y)), p2(f7(f8(c21, X), c20), f6(f5(f4(c16)), c17)), p15(X, c21)) = tuple(true, true, true).
% 92.03/11.83 The goal is true when:
% 92.03/11.83 X = c22
% 92.03/11.83 Y = c23
% 92.03/11.83
% 92.03/11.83 Proof:
% 92.03/11.83 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p15(c22, c21))
% 92.03/11.83 = { by axiom 2 (p15_3) }
% 92.03/11.83 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), true)
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p14(c20))
% 92.03/11.83 = { by lemma 11 R->L }
% 92.03/11.83 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f3(c18), c19))
% 92.03/11.83 = { by lemma 12 R->L }
% 92.03/11.83 tuple(p2(c22, f9(c20, c23)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 6 (p2_5) }
% 92.03/11.83 tuple(true, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 tuple(p14(c20), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 11 R->L }
% 92.03/11.83 tuple(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 5 (ifeq_axiom) R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 11 }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p14(c20), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(true, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 10 (p2_21) R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), true, ifeq(p2(f5(f4(c16)), f5(f4(c16))), true, p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), true), true), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), true, ifeq(p2(f5(f4(c16)), f5(f4(c16))), true, p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), true), p14(c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), true, ifeq(p2(f5(f4(c16)), f5(f4(c16))), true, p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p14(c20)), p14(c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), true, ifeq(p2(f5(f4(c16)), f5(f4(c16))), p14(c20), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p14(c20)), p14(c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p14(c20), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p14(c20), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p14(c20)), p14(c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 11 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p14(c20), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p14(c20), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p14(c20)), p2(f3(c18), c19)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 11 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p14(c20), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p14(c20), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f3(c18), c19)), p2(f3(c18), c19)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 11 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p14(c20), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p2(f3(c18), c19), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f3(c18), c19)), p2(f3(c18), c19)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 11 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f3(c18), c19), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p2(f3(c18), c19), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f3(c18), c19)), p2(f3(c18), c19)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f3(c18), c19), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p2(f3(c18), c19), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f3(c18), c19)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f3(c18), c19), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p2(f3(c18), c19), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f3(c18), c19), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by lemma 12 R->L }
% 92.03/11.83 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f5(f4(c16)), f5(f4(c16))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.83 = { by axiom 3 (p2_2) }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(true, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p14(c20), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 11 R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 12 R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 5 (ifeq_axiom) }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(f4(c16)), c17), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 7 (p2_6) }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(true, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p14(c20), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 11 R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 12 R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 5 (ifeq_axiom) }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 5 (ifeq_axiom) R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 13 R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f7(f8(c21, c22), c20), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 3 (p2_2) }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(true, p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 1 (c20_is_p14_1) R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p14(c20), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 11 R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 12 R->L }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 5 (ifeq_axiom) }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(ifeq(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by axiom 5 (ifeq_axiom) }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), ifeq(p2(f6(f5(f4(c16)), f3(f4(c16))), f7(f8(c21, c22), c20)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), c17)), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16))))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 13 }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 12 }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f3(c18), c19), p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))))
% 92.03/11.84 = { by lemma 12 }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p2(f3(c18), c19), p2(f3(c18), c19))
% 92.03/11.84 = { by lemma 11 }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p14(c20), p2(f3(c18), c19))
% 92.03/11.84 = { by lemma 11 }
% 92.03/11.84 tuple(p2(f7(f8(c21, c22), c20), f6(f5(f4(c16)), f3(f4(c16)))), p14(c20), p14(c20))
% 92.03/11.84 = { by lemma 12 }
% 92.03/11.84 tuple(p2(f3(c18), c19), p14(c20), p14(c20))
% 92.03/11.84 = { by lemma 11 }
% 92.03/11.84 tuple(p14(c20), p14(c20), p14(c20))
% 92.03/11.84 = { by axiom 1 (c20_is_p14_1) }
% 92.03/11.84 tuple(true, p14(c20), p14(c20))
% 92.03/11.84 = { by axiom 1 (c20_is_p14_1) }
% 92.03/11.84 tuple(true, true, p14(c20))
% 92.03/11.84 = { by axiom 1 (c20_is_p14_1) }
% 92.03/11.84 tuple(true, true, true)
% 92.03/11.84 % SZS output end Proof
% 92.03/11.84
% 92.03/11.84 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------