%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : NUM003-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:09:48 PM UTC 2026
% Result : Unsatisfiable 36.88s 5.16s
% Output : Proof 38.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 18:39:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.88/5.16 Command-line arguments: --no-flatten-goal
% 36.88/5.16
% 36.88/5.16 % SZS status Unsatisfiable
% 36.88/5.16
% 37.90/5.28 % SZS output start Proof
% 37.90/5.28 Axiom 1 (reflexivity): equalish(X, X) = true.
% 37.90/5.28 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 37.90/5.28 Axiom 3 (addition_inverts_subtraction2): equalish(X, subtract(add(X, Y), Y)) = true.
% 37.90/5.28 Axiom 4 (commutativity_of_addition): equalish(add(X, Y), add(Y, X)) = true.
% 37.90/5.28 Axiom 5 (addition_inverts_subtraction1): equalish(subtract(add(X, Y), Y), X) = true.
% 37.90/5.28 Axiom 6 (commutativity2): equalish(subtract(add(X, Y), Z), add(subtract(X, Z), Y)) = true.
% 37.90/5.28 Axiom 7 (commutativity1): equalish(add(subtract(X, Y), Z), subtract(add(X, Z), Y)) = true.
% 37.90/5.28 Axiom 8 (transitivity): ifeq(equalish(X, Y), true, ifeq(equalish(Z, X), true, equalish(Z, Y), true), true) = true.
% 37.90/5.28 Axiom 9 (subtract_substitution1): ifeq(equalish(X, subtract(Y, Z)), true, ifeq(equalish(Y, W), true, equalish(X, subtract(W, Z)), true), true) = true.
% 37.90/5.28 Axiom 10 (add_substitution1): ifeq(equalish(X, add(Y, Z)), true, ifeq(equalish(Y, W), true, equalish(X, add(W, Z)), true), true) = true.
% 37.90/5.29 Axiom 11 (add_substitution2): ifeq(equalish(X, add(Y, Z)), true, ifeq(equalish(Z, W), true, equalish(X, add(Y, W)), true), true) = true.
% 37.90/5.29
% 37.90/5.29 Goal 1 (prove_equation): equalish(add(a, subtract(b, c)), add(subtract(a, c), b)) = true.
% 37.90/5.29 Proof:
% 37.90/5.29 equalish(add(a, subtract(b, c)), add(subtract(a, c), b))
% 37.90/5.29 = { by axiom 2 (ifeq_axiom) R->L }
% 37.90/5.29 ifeq(true, true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 8 (transitivity) R->L }
% 37.90/5.29 ifeq(ifeq(equalish(add(c, subtract(b, c)), b), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 2 (ifeq_axiom) R->L }
% 37.90/5.29 ifeq(ifeq(ifeq(true, true, equalish(add(c, subtract(b, c)), b), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 8 (transitivity) R->L }
% 37.90/5.29 ifeq(ifeq(ifeq(ifeq(equalish(add(subtract(b, c), c), subtract(add(b, c), c)), true, ifeq(equalish(add(c, subtract(b, c)), add(subtract(b, c), c)), true, equalish(add(c, subtract(b, c)), subtract(add(b, c), c)), true), true), true, equalish(add(c, subtract(b, c)), b), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 4 (commutativity_of_addition) }
% 37.90/5.29 ifeq(ifeq(ifeq(ifeq(equalish(add(subtract(b, c), c), subtract(add(b, c), c)), true, ifeq(true, true, equalish(add(c, subtract(b, c)), subtract(add(b, c), c)), true), true), true, equalish(add(c, subtract(b, c)), b), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 2 (ifeq_axiom) }
% 37.90/5.29 ifeq(ifeq(ifeq(ifeq(equalish(add(subtract(b, c), c), subtract(add(b, c), c)), true, equalish(add(c, subtract(b, c)), subtract(add(b, c), c)), true), true, equalish(add(c, subtract(b, c)), b), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 7 (commutativity1) }
% 37.90/5.29 ifeq(ifeq(ifeq(ifeq(true, true, equalish(add(c, subtract(b, c)), subtract(add(b, c), c)), true), true, equalish(add(c, subtract(b, c)), b), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 2 (ifeq_axiom) }
% 37.90/5.29 ifeq(ifeq(ifeq(equalish(add(c, subtract(b, c)), subtract(add(b, c), c)), true, equalish(add(c, subtract(b, c)), b), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 2 (ifeq_axiom) R->L }
% 37.90/5.29 ifeq(ifeq(ifeq(true, true, ifeq(equalish(add(c, subtract(b, c)), subtract(add(b, c), c)), true, equalish(add(c, subtract(b, c)), b), true), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.29 = { by axiom 5 (addition_inverts_subtraction1) R->L }
% 37.90/5.30 ifeq(ifeq(ifeq(equalish(subtract(add(b, c), c), b), true, ifeq(equalish(add(c, subtract(b, c)), subtract(add(b, c), c)), true, equalish(add(c, subtract(b, c)), b), true), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.30 = { by axiom 8 (transitivity) }
% 37.90/5.30 ifeq(ifeq(true, true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.30 = { by axiom 2 (ifeq_axiom) }
% 37.90/5.30 ifeq(ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.30 = { by axiom 2 (ifeq_axiom) R->L }
% 37.90/5.30 ifeq(ifeq(ifeq(true, true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.30 = { by axiom 8 (transitivity) R->L }
% 37.90/5.30 ifeq(ifeq(ifeq(ifeq(equalish(subtract(a, subtract(a, c)), c), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.30 = { by axiom 2 (ifeq_axiom) R->L }
% 37.90/5.30 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.30 = { by axiom 9 (subtract_substitution1) R->L }
% 37.90/5.30 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(a, subtract(a, c)), subtract(a, subtract(a, c))), true, ifeq(equalish(a, add(c, subtract(a, c))), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 37.90/5.30 = { by axiom 1 (reflexivity) }
% 37.90/5.30 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(equalish(a, add(c, subtract(a, c))), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.31 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.31 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(a, add(c, subtract(a, c))), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.31 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.31 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, equalish(a, add(c, subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.31 = { by axiom 8 (transitivity) R->L }
% 38.73/5.31 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(a, c), c), add(subtract(a, c), c)), true, ifeq(equalish(a, subtract(add(a, c), c)), true, equalish(a, add(subtract(a, c), c)), true), true), true, equalish(a, add(c, subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.31 = { by axiom 3 (addition_inverts_subtraction2) }
% 38.73/5.31 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(a, c), c), add(subtract(a, c), c)), true, ifeq(true, true, equalish(a, add(subtract(a, c), c)), true), true), true, equalish(a, add(c, subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.32 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.32 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(a, c), c), add(subtract(a, c), c)), true, equalish(a, add(subtract(a, c), c)), true), true, equalish(a, add(c, subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.32 = { by axiom 6 (commutativity2) }
% 38.73/5.32 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, equalish(a, add(subtract(a, c), c)), true), true, equalish(a, add(c, subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.32 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.32 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(a, add(subtract(a, c), c)), true, equalish(a, add(c, subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.32 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.33 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(equalish(a, add(subtract(a, c), c)), true, equalish(a, add(c, subtract(a, c))), true), true), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.33 = { by axiom 4 (commutativity_of_addition) R->L }
% 38.73/5.33 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(add(subtract(a, c), c), add(c, subtract(a, c))), true, ifeq(equalish(a, add(subtract(a, c), c)), true, equalish(a, add(c, subtract(a, c))), true), true), true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.33 = { by axiom 8 (transitivity) }
% 38.73/5.33 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.33 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.34 ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true, equalish(subtract(a, subtract(a, c)), c), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.34 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.34 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true, equalish(subtract(a, subtract(a, c)), c), true), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.34 = { by axiom 5 (addition_inverts_subtraction1) R->L }
% 38.73/5.34 ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(c, subtract(a, c)), subtract(a, c)), c), true, ifeq(equalish(subtract(a, subtract(a, c)), subtract(add(c, subtract(a, c)), subtract(a, c))), true, equalish(subtract(a, subtract(a, c)), c), true), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.34 = { by axiom 8 (transitivity) }
% 38.73/5.34 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.34 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.34 ifeq(ifeq(ifeq(ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.34 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.34 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.34 = { by axiom 9 (subtract_substitution1) R->L }
% 38.73/5.34 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c))), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(subtract(a, subtract(a, c)), subtract(b, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(add(subtract(a, subtract(a, c)), subtract(b, c)), subtract(b, c))), true), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.34 = { by axiom 1 (reflexivity) }
% 38.73/5.35 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(subtract(a, subtract(a, c)), subtract(b, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(add(subtract(a, subtract(a, c)), subtract(b, c)), subtract(b, c))), true), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.35 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.35 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(subtract(a, subtract(a, c)), subtract(b, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(add(subtract(a, subtract(a, c)), subtract(b, c)), subtract(b, c))), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.35 = { by axiom 6 (commutativity2) }
% 38.73/5.35 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(add(subtract(a, subtract(a, c)), subtract(b, c)), subtract(b, c))), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.35 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.35 ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(add(subtract(a, subtract(a, c)), subtract(b, c)), subtract(b, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.35 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.35 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(add(subtract(a, subtract(a, c)), subtract(b, c)), subtract(b, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.35 = { by axiom 5 (addition_inverts_subtraction1) R->L }
% 38.73/5.35 ifeq(ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(subtract(a, subtract(a, c)), subtract(b, c)), subtract(b, c)), subtract(a, subtract(a, c))), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(add(subtract(a, subtract(a, c)), subtract(b, c)), subtract(b, c))), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(a, subtract(a, c))), true), true), true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.35 = { by axiom 8 (transitivity) }
% 38.73/5.35 ifeq(ifeq(ifeq(ifeq(true, true, equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.35 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.36 ifeq(ifeq(ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.36 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.36 ifeq(ifeq(ifeq(true, true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.36 = { by axiom 8 (transitivity) R->L }
% 38.73/5.36 ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c)), add(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.36 = { by axiom 3 (addition_inverts_subtraction2) }
% 38.73/5.36 ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c)), add(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true, ifeq(true, true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.36 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.36 ifeq(ifeq(ifeq(ifeq(equalish(subtract(add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c)), add(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.36 = { by axiom 6 (commutativity2) }
% 38.73/5.36 ifeq(ifeq(ifeq(ifeq(true, true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.37 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.37 ifeq(ifeq(ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), subtract(b, c))), true, ifeq(equalish(subtract(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(b, c)), c), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), add(c, subtract(b, c))), true), true), true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.37 = { by axiom 10 (add_substitution1) }
% 38.73/5.37 ifeq(ifeq(true, true, equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.37 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.37 ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true)
% 38.73/5.37 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.37 ifeq(true, true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 8 (transitivity) R->L }
% 38.73/5.37 ifeq(ifeq(equalish(add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true, ifeq(equalish(add(a, subtract(b, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 4 (commutativity_of_addition) }
% 38.73/5.37 ifeq(ifeq(true, true, ifeq(equalish(add(a, subtract(b, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.37 ifeq(ifeq(equalish(add(a, subtract(b, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.37 ifeq(ifeq(ifeq(true, true, equalish(add(a, subtract(b, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 6 (commutativity2) R->L }
% 38.73/5.37 ifeq(ifeq(ifeq(equalish(subtract(add(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true, equalish(add(a, subtract(b, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 2 (ifeq_axiom) R->L }
% 38.73/5.37 ifeq(ifeq(ifeq(equalish(subtract(add(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true, ifeq(true, true, equalish(add(a, subtract(b, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 3 (addition_inverts_subtraction2) R->L }
% 38.73/5.37 ifeq(ifeq(ifeq(equalish(subtract(add(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true, ifeq(equalish(add(a, subtract(b, c)), subtract(add(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true, equalish(add(a, subtract(b, c)), add(subtract(add(a, subtract(b, c)), subtract(a, c)), subtract(a, c))), true), true), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 8 (transitivity) }
% 38.73/5.37 ifeq(ifeq(true, true, equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 2 (ifeq_axiom) }
% 38.73/5.37 ifeq(equalish(add(a, subtract(b, c)), add(subtract(a, c), subtract(add(a, subtract(b, c)), subtract(a, c)))), true, ifeq(equalish(subtract(add(a, subtract(b, c)), subtract(a, c)), b), true, equalish(add(a, subtract(b, c)), add(subtract(a, c), b)), true), true)
% 38.73/5.37 = { by axiom 11 (add_substitution2) }
% 38.73/5.37 true
% 38.73/5.37 % SZS output end Proof
% 38.73/5.37
% 38.73/5.37 RESULT: Unsatisfiable (the axioms are contradictory).
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