%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : ROB016-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:36:11 PM UTC 2026
% Result : Unsatisfiable 34.26s 4.88s
% Output : Proof 34.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:26:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.26/4.88 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
% 34.26/4.88
% 34.26/4.88 % SZS status Unsatisfiable
% 34.26/4.88
% 34.26/4.88 % SZS output start Proof
% 34.26/4.88 Axiom 1 (k_positive): positive_integer(k) = true.
% 34.26/4.88 Axiom 2 (commutativity_of_add): add(X, Y) = add(Y, X).
% 34.26/4.88 Axiom 3 (condition): negate(add(d, e)) = negate(e).
% 34.26/4.88 Axiom 4 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 34.26/4.88 Axiom 5 (ifeq_axiom): ifeq3(X, X, Y, Z) = Y.
% 34.26/4.88 Axiom 6 (robbins_axiom): negate(add(negate(add(X, Y)), negate(add(X, negate(Y))))) = X.
% 34.26/4.88 Axiom 7 (lemma_3_6): ifeq2(positive_integer(X), true, ifeq3(negate(add(negate(Y), negate(add(Z, negate(Y))))), Z, negate(add(Y, multiply(X, add(Z, negate(add(Z, negate(Y))))))), negate(Y)), negate(Y)) = negate(Y).
% 34.26/4.88
% 34.26/4.88 Goal 1 (prove_result): negate(add(e, multiply(k, add(d, negate(add(d, negate(e))))))) = negate(e).
% 34.26/4.88 Proof:
% 34.26/4.88 negate(add(e, multiply(k, add(d, negate(add(d, negate(e)))))))
% 34.26/4.88 = { by axiom 5 (ifeq_axiom) R->L }
% 34.26/4.88 ifeq3(d, d, negate(add(e, multiply(k, add(d, negate(add(d, negate(e))))))), negate(e))
% 34.26/4.88 = { by axiom 6 (robbins_axiom) R->L }
% 34.26/4.88 ifeq3(negate(add(negate(add(d, e)), negate(add(d, negate(e))))), d, negate(add(e, multiply(k, add(d, negate(add(d, negate(e))))))), negate(e))
% 34.26/4.88 = { by axiom 2 (commutativity_of_add) }
% 34.26/4.88 ifeq3(negate(add(negate(add(d, negate(e))), negate(add(d, e)))), d, negate(add(e, multiply(k, add(d, negate(add(d, negate(e))))))), negate(e))
% 34.26/4.88 = { by axiom 3 (condition) }
% 34.26/4.88 ifeq3(negate(add(negate(add(d, negate(e))), negate(e))), d, negate(add(e, multiply(k, add(d, negate(add(d, negate(e))))))), negate(e))
% 34.26/4.88 = { by axiom 2 (commutativity_of_add) R->L }
% 34.26/4.88 ifeq3(negate(add(negate(e), negate(add(d, negate(e))))), d, negate(add(e, multiply(k, add(d, negate(add(d, negate(e))))))), negate(e))
% 34.26/4.88 = { by axiom 4 (ifeq_axiom) R->L }
% 34.26/4.88 ifeq2(true, true, ifeq3(negate(add(negate(e), negate(add(d, negate(e))))), d, negate(add(e, multiply(k, add(d, negate(add(d, negate(e))))))), negate(e)), negate(e))
% 34.26/4.88 = { by axiom 1 (k_positive) R->L }
% 34.26/4.88 ifeq2(positive_integer(k), true, ifeq3(negate(add(negate(e), negate(add(d, negate(e))))), d, negate(add(e, multiply(k, add(d, negate(add(d, negate(e))))))), negate(e)), negate(e))
% 34.26/4.88 = { by axiom 7 (lemma_3_6) }
% 34.26/4.88 negate(e)
% 34.26/4.88 % SZS output end Proof
% 34.26/4.88
% 34.26/4.88 RESULT: Unsatisfiable (the axioms are contradictory).
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