%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN156-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:47:12 PM UTC 2026
% Result : Unsatisfiable 11.66s 1.77s
% Output : Proof 12.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN156-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n004.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 15:37:06 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.66/1.77 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 11.66/1.77
% 11.66/1.77 % SZS status Unsatisfiable
% 11.66/1.77
% 12.46/1.80 % SZS output start Proof
% 12.46/1.80 Axiom 1 (axiom_9): r0(b) = true.
% 12.46/1.81 Axiom 2 (axiom_20): l0(a) = true.
% 12.46/1.81 Axiom 3 (axiom_28): k0(e) = true.
% 12.46/1.81 Axiom 4 (axiom_14): p0(b, X) = true.
% 12.46/1.81 Axiom 5 (axiom_18): p0(c, b) = true.
% 12.46/1.81 Axiom 6 (axiom_37): n0(b, a) = true.
% 12.46/1.81 Axiom 7 (axiom_30): n0(e, e) = true.
% 12.46/1.81 Axiom 8 (axiom_34): n0(c, d) = true.
% 12.46/1.81 Axiom 9 (axiom_19): m0(X, d, Y) = true.
% 12.46/1.81 Axiom 10 (axiom_27): m0(e, b, c) = true.
% 12.46/1.81 Axiom 11 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 12.46/1.81 Axiom 12 (rule_001): ifeq(n0(X, Y), true, k1(Y), true) = true.
% 12.46/1.81 Axiom 13 (rule_236): ifeq(n2(X), true, m3(X, X, X), true) = true.
% 12.46/1.81 Axiom 14 (rule_240): ifeq(p2(X, Y, Z), true, n3(Z), true) = true.
% 12.46/1.81 Axiom 15 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 12.46/1.81 Axiom 16 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 12.46/1.81 Axiom 17 (rule_186): ifeq(l1(X, Y), true, q2(Y, Y, X), true) = true.
% 12.46/1.81 Axiom 18 (rule_006): ifeq(m0(X, X, Y), true, m1(Y, Y, Y), true) = true.
% 12.46/1.81 Axiom 19 (rule_150): ifeq(m1(X, X, Y), true, p2(Y, Y, Y), true) = true.
% 12.46/1.81 Axiom 20 (rule_176): ifeq(m1(X, Y, X), true, p2(Y, X, Y), true) = true.
% 12.46/1.81 Axiom 21 (rule_021): ifeq(k0(X), true, ifeq(l0(Y), true, m1(Y, X, Y), true), true) = true.
% 12.46/1.81 Axiom 22 (rule_284): ifeq(k4(X), true, ifeq(m3(Y, Y, Y), true, n4(Y, Y), true), true) = true.
% 12.46/1.81 Axiom 23 (rule_281): ifeq(n4(X, X), true, ifeq(p3(X, Y, Y), true, n4(X, Y), true), true) = true.
% 12.46/1.81 Axiom 24 (rule_155): ifeq(p2(e, X, Y), true, ifeq(k1(Z), true, p2(X, Y, Y), true), true) = true.
% 12.46/1.81 Axiom 25 (rule_255): ifeq(q2(X, Y, Z), true, ifeq(n0(X, Y), true, q3(Y, Z), true), true) = true.
% 12.46/1.81 Axiom 26 (rule_251): ifeq(m3(X, Y, Z), true, ifeq(p2(W, X, Z), true, p3(W, X, X), true), true) = true.
% 12.46/1.81 Axiom 27 (rule_274): ifeq(q3(e, b), true, ifeq(n3(e), true, ifeq(n0(c, d), true, k4(c), true), true), true) = true.
% 12.46/1.81 Axiom 28 (rule_003): ifeq(p0(X, Y), true, ifeq(r0(Z), true, ifeq(m0(W, Y, X), true, l1(Y, W), true), true), true) = true.
% 12.46/1.81
% 12.46/1.81 Goal 1 (prove_this): n4(a, e) = true.
% 12.46/1.81 Proof:
% 12.46/1.81 n4(a, e)
% 12.46/1.81 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.81 ifeq(true, true, n4(a, e), true)
% 12.46/1.81 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.81 ifeq(true, true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 22 (rule_284) R->L }
% 12.46/1.81 ifeq(ifeq(k4(c), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.81 ifeq(ifeq(ifeq(true, true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 14 (rule_240) R->L }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(p2(e, e, e), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 18 (rule_006) R->L }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(m0(d, d, e), true, m1(e, e, e), true), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 9 (axiom_19) }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(e, e, e), true), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(ifeq(m1(e, e, e), true, p2(e, e, e), true), true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 19 (rule_150) }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(true, true, n3(e), true), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.81 ifeq(ifeq(ifeq(n3(e), true, k4(c), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.81 ifeq(ifeq(ifeq(true, true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 25 (rule_255) R->L }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(q2(e, e, b), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 28 (rule_003) R->L }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(c, b), true, ifeq(r0(b), true, ifeq(m0(e, b, c), true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 10 (axiom_27) }
% 12.46/1.81 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(p0(c, b), true, ifeq(r0(b), true, ifeq(true, true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.81 = { by axiom 5 (axiom_18) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(r0(b), true, ifeq(true, true, l1(b, e), true), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(r0(b), true, ifeq(true, true, l1(b, e), true), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(r0(b), true, l1(b, e), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 1 (axiom_9) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, l1(b, e), true), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(ifeq(l1(b, e), true, q2(e, e, b), true), true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 17 (rule_186) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(n0(e, e), true, q3(e, b), true), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(n0(e, e), true, q3(e, b), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 7 (axiom_30) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(true, true, q3(e, b), true), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, k4(c), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.82 ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, ifeq(true, true, k4(c), true), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 8 (axiom_34) R->L }
% 12.46/1.82 ifeq(ifeq(ifeq(q3(e, b), true, ifeq(n3(e), true, ifeq(n0(c, d), true, k4(c), true), true), true), true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 27 (rule_274) }
% 12.46/1.82 ifeq(ifeq(true, true, ifeq(m3(a, a, a), true, n4(a, a), true), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(ifeq(m3(a, a, a), true, n4(a, a), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.82 ifeq(ifeq(ifeq(true, true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 15 (rule_137) R->L }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(p1(a, a, a), true, n2(a), true), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, n2(a), true), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 4 (axiom_14) R->L }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, a), true, p1(a, a, a), true), true, n2(a), true), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 16 (rule_085) }
% 12.46/1.82 ifeq(ifeq(ifeq(ifeq(true, true, n2(a), true), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(ifeq(ifeq(n2(a), true, m3(a, a, a), true), true, n4(a, a), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 13 (rule_236) }
% 12.46/1.82 ifeq(ifeq(true, true, n4(a, a), true), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(true, true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 26 (rule_251) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(m3(e, e, e), true, ifeq(p2(a, e, e), true, p3(a, e, e), true), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(true, true, m3(e, e, e), true), true, ifeq(p2(a, e, e), true, p3(a, e, e), true), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 15 (rule_137) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(p1(e, e, e), true, n2(e), true), true, m3(e, e, e), true), true, ifeq(p2(a, e, e), true, p3(a, e, e), true), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(e, e, e), true), true, n2(e), true), true, m3(e, e, e), true), true, ifeq(p2(a, e, e), true, p3(a, e, e), true), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 4 (axiom_14) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, e), true, p1(e, e, e), true), true, n2(e), true), true, m3(e, e, e), true), true, ifeq(p2(a, e, e), true, p3(a, e, e), true), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 16 (rule_085) }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(true, true, n2(e), true), true, m3(e, e, e), true), true, ifeq(p2(a, e, e), true, p3(a, e, e), true), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(n2(e), true, m3(e, e, e), true), true, ifeq(p2(a, e, e), true, p3(a, e, e), true), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 13 (rule_236) }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(true, true, ifeq(p2(a, e, e), true, p3(a, e, e), true), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(p2(a, e, e), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(true, true, p2(a, e, e), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 12 (rule_001) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(n0(b, a), true, k1(a), true), true, p2(a, e, e), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 6 (axiom_37) }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(true, true, k1(a), true), true, p2(a, e, e), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(k1(a), true, p2(a, e, e), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(true, true, ifeq(k1(a), true, p2(a, e, e), true), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 20 (rule_176) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(m1(a, e, a), true, p2(e, a, e), true), true, ifeq(k1(a), true, p2(a, e, e), true), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.82 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, m1(a, e, a), true), true, p2(e, a, e), true), true, ifeq(k1(a), true, p2(a, e, e), true), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.82 = { by axiom 2 (axiom_20) R->L }
% 12.46/1.83 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(ifeq(l0(a), true, m1(a, e, a), true), true, p2(e, a, e), true), true, ifeq(k1(a), true, p2(a, e, e), true), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.83 = { by axiom 11 (ifeq_axiom) R->L }
% 12.46/1.83 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(l0(a), true, m1(a, e, a), true), true), true, p2(e, a, e), true), true, ifeq(k1(a), true, p2(a, e, e), true), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.83 = { by axiom 3 (axiom_28) R->L }
% 12.46/1.83 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(ifeq(k0(e), true, ifeq(l0(a), true, m1(a, e, a), true), true), true, p2(e, a, e), true), true, ifeq(k1(a), true, p2(a, e, e), true), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.83 = { by axiom 21 (rule_021) }
% 12.46/1.83 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(ifeq(true, true, p2(e, a, e), true), true, ifeq(k1(a), true, p2(a, e, e), true), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.83 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.83 ifeq(n4(a, a), true, ifeq(ifeq(ifeq(p2(e, a, e), true, ifeq(k1(a), true, p2(a, e, e), true), true), true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.83 = { by axiom 24 (rule_155) }
% 12.46/1.83 ifeq(n4(a, a), true, ifeq(ifeq(true, true, p3(a, e, e), true), true, n4(a, e), true), true)
% 12.46/1.83 = { by axiom 11 (ifeq_axiom) }
% 12.46/1.83 ifeq(n4(a, a), true, ifeq(p3(a, e, e), true, n4(a, e), true), true)
% 12.46/1.83 = { by axiom 23 (rule_281) }
% 12.46/1.83 true
% 12.46/1.83 % SZS output end Proof
% 12.46/1.83
% 12.46/1.83 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------