%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 01:48:05 PM UTC 2026
% Result : Unsatisfiable 35.48s 4.74s
% Output : Proof 35.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n010.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 16:28:47 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.48/4.74 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
% 35.48/4.74
% 35.48/4.74 % SZS status Unsatisfiable
% 35.48/4.74
% 35.48/4.75 % SZS output start Proof
% 35.48/4.75 Axiom 1 (p2_1): p2(X, X) = true.
% 35.48/4.75 Axiom 2 (p2_3): p2(c10, c13) = true.
% 35.48/4.75 Axiom 3 (p3_2): p3(X, X) = true.
% 35.48/4.75 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 35.48/4.75 Axiom 5 (p3_8): p3(c9, f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11)) = true.
% 35.48/4.75 Axiom 6 (p2_6): ifeq(p2(X, Y), true, ifeq(p2(X, Z), true, p2(Z, Y), true), true) = true.
% 35.48/4.75 Axiom 7 (p3_7): ifeq(p3(X, Y), true, ifeq(p3(X, Z), true, p3(Z, Y), true), true) = true.
% 35.48/4.75 Axiom 8 (p2_10): ifeq(p2(X, Y), true, ifeq(p2(Z, W), true, p2(f5(Z, X), f5(W, Y)), true), true) = true.
% 35.48/4.75 Axiom 9 (p2_11): ifeq(p3(X, Y), true, ifeq(p2(Z, W), true, p2(f8(X, Z), f8(Y, W)), true), true) = true.
% 35.48/4.75 Axiom 10 (p3_12): ifeq(p3(X, Y), true, ifeq(p2(Z, W), true, ifeq(p2(V, U), true, p3(f4(V, Z, X), f4(U, W, Y)), true), true), true) = true.
% 35.48/4.75
% 35.48/4.75 Goal 1 (not_p3_9): p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)) = true.
% 35.48/4.75 Proof:
% 35.48/4.75 p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11))
% 35.48/4.75 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.75 ifeq(true, true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.75 = { by axiom 7 (p3_7) R->L }
% 35.48/4.75 ifeq(ifeq(p3(c9, c9), true, ifeq(p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.75 = { by axiom 3 (p3_2) }
% 35.48/4.75 ifeq(ifeq(true, true, ifeq(p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.75 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.75 ifeq(ifeq(p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.75 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.75 ifeq(ifeq(ifeq(true, true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.75 = { by axiom 10 (p3_12) R->L }
% 35.48/4.75 ifeq(ifeq(ifeq(ifeq(p3(c11, c11), true, ifeq(p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c13), f6(f7(c12)))), true, ifeq(p2(c13, c10), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.75 = { by axiom 1 (p2_1) }
% 35.48/4.75 ifeq(ifeq(ifeq(ifeq(p3(c11, c11), true, ifeq(true, true, ifeq(p2(c13, c10), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.75 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(p3(c11, c11), true, ifeq(p2(c13, c10), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 3 (p3_2) }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p2(c13, c10), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(p2(c13, c10), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p2(c13, c10), true), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 2 (p2_3) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(ifeq(p2(c10, c13), true, p2(c13, c10), true), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p2(c10, c13), true, p2(c13, c10), true), true), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 1 (p2_1) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(ifeq(p2(c10, c10), true, ifeq(p2(c10, c13), true, p2(c13, c10), true), true), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 6 (p2_6) }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(true, true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(ifeq(p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, ifeq(true, true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 7 (p3_7) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, ifeq(ifeq(p3(c9, c9), true, ifeq(p3(c9, f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11)), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 3 (p3_2) }
% 35.48/4.76 ifeq(ifeq(ifeq(p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, ifeq(ifeq(true, true, ifeq(p3(c9, f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11)), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(ifeq(p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, ifeq(ifeq(p3(c9, f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11)), true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 5 (p3_8) }
% 35.48/4.76 ifeq(ifeq(ifeq(p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, ifeq(ifeq(true, true, p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(ifeq(p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true, ifeq(p3(f4(c13, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11)), true), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 7 (p3_7) }
% 35.48/4.76 ifeq(ifeq(true, true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.76 ifeq(true, true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 10 (p3_12) R->L }
% 35.48/4.76 ifeq(ifeq(p3(c11, c11), true, ifeq(p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true, ifeq(p2(c10, c10), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 1 (p2_1) }
% 35.48/4.76 ifeq(ifeq(p3(c11, c11), true, ifeq(p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true, ifeq(true, true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(p3(c11, c11), true, ifeq(p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 3 (p3_2) }
% 35.48/4.76 ifeq(ifeq(true, true, ifeq(p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(true, true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 6 (p2_6) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(p2(f8(c11, c10), f8(c11, c10)), true, ifeq(p2(f8(c11, c10), f8(c11, c13)), true, p2(f8(c11, c13), f8(c11, c10)), true), true), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 1 (p2_1) }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p2(f8(c11, c10), f8(c11, c13)), true, p2(f8(c11, c13), f8(c11, c10)), true), true), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(p2(f8(c11, c10), f8(c11, c13)), true, p2(f8(c11, c13), f8(c11, c10)), true), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p2(f8(c11, c10), f8(c11, c13)), true), true, p2(f8(c11, c13), f8(c11, c10)), true), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 2 (p2_3) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(ifeq(p2(c10, c13), true, p2(f8(c11, c10), f8(c11, c13)), true), true, p2(f8(c11, c13), f8(c11, c10)), true), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(p2(c10, c13), true, p2(f8(c11, c10), f8(c11, c13)), true), true), true, p2(f8(c11, c13), f8(c11, c10)), true), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 3 (p3_2) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(ifeq(p3(c11, c11), true, ifeq(p2(c10, c13), true, p2(f8(c11, c10), f8(c11, c13)), true), true), true, p2(f8(c11, c13), f8(c11, c10)), true), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 9 (p2_11) }
% 35.48/4.76 ifeq(ifeq(ifeq(ifeq(true, true, p2(f8(c11, c13), f8(c11, c10)), true), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(ifeq(ifeq(p2(f8(c11, c13), f8(c11, c10)), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(true, true, ifeq(p2(f8(c11, c13), f8(c11, c10)), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 1 (p2_1) R->L }
% 35.48/4.76 ifeq(ifeq(ifeq(p2(f6(f7(c12)), f6(f7(c12))), true, ifeq(p2(f8(c11, c13), f8(c11, c10)), true, p2(f5(f8(c11, c13), f6(f7(c12))), f5(f8(c11, c10), f6(f7(c12)))), true), true), true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 8 (p2_10) }
% 35.48/4.76 ifeq(ifeq(true, true, p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 4 (ifeq_axiom) }
% 35.48/4.76 ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true, ifeq(p3(f4(c10, f5(f8(c11, c13), f6(f7(c12))), c11), c9), true, p3(c9, f4(c10, f5(f8(c11, c10), f6(f7(c12))), c11)), true), true)
% 35.48/4.76 = { by axiom 7 (p3_7) }
% 35.48/4.76 true
% 35.48/4.76 % SZS output end Proof
% 35.48/4.76
% 35.48/4.76 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------