%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : NUM004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 1.42s 0.64s
% Output : Proof 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 18:40:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/0.64 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 1.42/0.64
% 1.42/0.64 % SZS status Unsatisfiable
% 1.42/0.64
% 1.42/0.64 % SZS output start Proof
% 1.42/0.64 Axiom 1 (reflexivity): equalish(X, X) = true.
% 1.42/0.64 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.42/0.64 Axiom 3 (commutativity_of_addition): equalish(add(X, Y), add(Y, X)) = true.
% 1.42/0.64 Axiom 4 (commutativity2): equalish(subtract(add(X, Y), Z), add(subtract(X, Z), Y)) = true.
% 1.42/0.64 Axiom 5 (transitivity): ifeq(equalish(X, Y), true, ifeq(equalish(Z, X), true, equalish(Z, Y), true), true) = true.
% 1.42/0.64 Axiom 6 (subtract_substitution1): ifeq(equalish(X, subtract(Y, Z)), true, ifeq(equalish(Y, W), true, equalish(X, subtract(W, Z)), true), true) = true.
% 1.42/0.64
% 1.42/0.64 Goal 1 (prove_equation): equalish(subtract(add(a, b), c), add(a, subtract(b, c))) = true.
% 1.42/0.64 Proof:
% 1.42/0.64 equalish(subtract(add(a, b), c), add(a, subtract(b, c)))
% 1.42/0.64 = { by axiom 2 (ifeq_axiom) R->L }
% 1.42/0.64 ifeq(true, true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true)
% 1.42/0.64 = { by axiom 6 (subtract_substitution1) R->L }
% 1.42/0.64 ifeq(ifeq(equalish(subtract(add(a, b), c), subtract(add(a, b), c)), true, ifeq(equalish(add(a, b), add(b, a)), true, equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true), true), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true)
% 1.42/0.64 = { by axiom 1 (reflexivity) }
% 1.42/0.64 ifeq(ifeq(true, true, ifeq(equalish(add(a, b), add(b, a)), true, equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true), true), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true)
% 1.42/0.64 = { by axiom 2 (ifeq_axiom) }
% 1.42/0.64 ifeq(ifeq(equalish(add(a, b), add(b, a)), true, equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true)
% 1.42/0.64 = { by axiom 3 (commutativity_of_addition) }
% 1.42/0.64 ifeq(ifeq(true, true, equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true)
% 1.42/0.64 = { by axiom 2 (ifeq_axiom) }
% 1.42/0.64 ifeq(equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true)
% 1.42/0.64 = { by axiom 2 (ifeq_axiom) R->L }
% 1.42/0.65 ifeq(true, true, ifeq(equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true), true)
% 1.42/0.65 = { by axiom 5 (transitivity) R->L }
% 1.42/0.65 ifeq(ifeq(equalish(add(subtract(b, c), a), add(a, subtract(b, c))), true, ifeq(equalish(subtract(add(b, a), c), add(subtract(b, c), a)), true, equalish(subtract(add(b, a), c), add(a, subtract(b, c))), true), true), true, ifeq(equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true), true)
% 1.42/0.65 = { by axiom 3 (commutativity_of_addition) }
% 1.42/0.65 ifeq(ifeq(true, true, ifeq(equalish(subtract(add(b, a), c), add(subtract(b, c), a)), true, equalish(subtract(add(b, a), c), add(a, subtract(b, c))), true), true), true, ifeq(equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true), true)
% 1.42/0.65 = { by axiom 2 (ifeq_axiom) }
% 1.42/0.65 ifeq(ifeq(equalish(subtract(add(b, a), c), add(subtract(b, c), a)), true, equalish(subtract(add(b, a), c), add(a, subtract(b, c))), true), true, ifeq(equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true), true)
% 1.42/0.65 = { by axiom 4 (commutativity2) }
% 1.42/0.65 ifeq(ifeq(true, true, equalish(subtract(add(b, a), c), add(a, subtract(b, c))), true), true, ifeq(equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true), true)
% 1.42/0.65 = { by axiom 2 (ifeq_axiom) }
% 1.42/0.65 ifeq(equalish(subtract(add(b, a), c), add(a, subtract(b, c))), true, ifeq(equalish(subtract(add(a, b), c), subtract(add(b, a), c)), true, equalish(subtract(add(a, b), c), add(a, subtract(b, c))), true), true)
% 1.42/0.65 = { by axiom 5 (transitivity) }
% 1.42/0.65 true
% 1.42/0.65 % SZS output end Proof
% 1.42/0.65
% 1.42/0.65 RESULT: Unsatisfiable (the axioms are contradictory).
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