%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : ROB014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 11.53s 2.02s
% Output : Proof 11.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n007.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 23:24:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.53/2.02 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
% 11.53/2.02
% 11.53/2.02 % SZS status Unsatisfiable
% 11.53/2.02
% 11.53/2.04 % SZS output start Proof
% 11.53/2.04 Axiom 1 (commutativity_of_add): add(X, Y) = add(Y, X).
% 11.53/2.04 Axiom 2 (one_times_x): multiply(one, X) = X.
% 11.53/2.04 Axiom 3 (associativity_of_add): add(add(X, Y), Z) = add(X, add(Y, Z)).
% 11.53/2.04 Axiom 4 (condition): negate(add(negate(e), negate(add(d, negate(e))))) = d.
% 11.53/2.04 Axiom 5 (robbins_axiom): negate(add(negate(add(X, Y)), negate(add(X, negate(Y))))) = X.
% 11.53/2.04
% 11.53/2.04 Lemma 6: add(Y, add(X, Z)) = add(X, add(Y, Z)).
% 11.53/2.04 Proof:
% 11.53/2.04 add(Y, add(X, Z))
% 11.53/2.04 = { by axiom 1 (commutativity_of_add) R->L }
% 11.53/2.04 add(add(X, Z), Y)
% 11.53/2.04 = { by axiom 3 (associativity_of_add) }
% 11.53/2.04 add(X, add(Z, Y))
% 11.53/2.04 = { by axiom 1 (commutativity_of_add) }
% 11.53/2.04 add(X, add(Y, Z))
% 11.53/2.04
% 11.53/2.04 Lemma 7: negate(add(negate(add(d, negate(e))), negate(e))) = d.
% 11.53/2.04 Proof:
% 11.53/2.04 negate(add(negate(add(d, negate(e))), negate(e)))
% 11.53/2.04 = { by axiom 1 (commutativity_of_add) R->L }
% 11.53/2.04 negate(add(negate(e), negate(add(d, negate(e)))))
% 11.53/2.04 = { by axiom 4 (condition) }
% 11.53/2.04 d
% 11.53/2.04
% 11.53/2.04 Goal 1 (prove_base_step): negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))) = negate(e).
% 11.53/2.04 Proof:
% 11.53/2.04 negate(add(e, multiply(one, add(d, negate(add(d, negate(e)))))))
% 11.53/2.04 = { by axiom 5 (robbins_axiom) R->L }
% 11.53/2.04 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), negate(add(d, negate(e)))))))
% 11.53/2.04 = { by axiom 2 (one_times_x) }
% 11.53/2.04 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(add(e, add(d, negate(add(d, negate(e)))))), negate(add(d, negate(e)))))))
% 11.53/2.04 = { by lemma 6 }
% 11.53/2.04 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(add(d, add(e, negate(add(d, negate(e)))))), negate(add(d, negate(e)))))))
% 11.53/2.04 = { by axiom 5 (robbins_axiom) R->L }
% 11.53/2.04 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(add(d, add(e, negate(add(d, negate(e)))))), negate(add(negate(add(negate(add(d, negate(e))), e)), negate(add(negate(add(d, negate(e))), negate(e)))))))))
% 11.53/2.04 = { by lemma 7 }
% 11.53/2.04 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(add(d, add(e, negate(add(d, negate(e)))))), negate(add(negate(add(negate(add(d, negate(e))), e)), d))))))
% 11.53/2.04 = { by axiom 1 (commutativity_of_add) }
% 11.53/2.04 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(add(d, add(e, negate(add(d, negate(e)))))), negate(add(d, negate(add(negate(add(d, negate(e))), e))))))))
% 11.53/2.04 = { by axiom 1 (commutativity_of_add) }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(add(d, add(e, negate(add(d, negate(e)))))), negate(add(d, negate(add(e, negate(add(d, negate(e)))))))))))
% 11.53/2.05 = { by axiom 5 (robbins_axiom) }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), d))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) }
% 11.53/2.05 negate(add(d, negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e))))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) }
% 11.53/2.05 negate(add(d, negate(add(add(d, negate(e)), negate(add(e, multiply(one, add(d, negate(add(d, negate(e)))))))))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) R->L }
% 11.53/2.05 negate(add(negate(add(add(d, negate(e)), negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))))), d))
% 11.53/2.05 = { by lemma 7 R->L }
% 11.53/2.05 negate(add(negate(add(add(d, negate(e)), negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))))), negate(add(negate(add(d, negate(e))), negate(e)))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) R->L }
% 11.53/2.05 negate(add(negate(add(add(d, negate(e)), negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))))), negate(add(negate(e), negate(add(d, negate(e)))))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) R->L }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(d, negate(e)))))))
% 11.53/2.05 = { by axiom 5 (robbins_axiom) R->L }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(negate(add(negate(add(d, negate(e))), add(e, d))), negate(add(negate(add(d, negate(e))), negate(add(e, d))))))))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(negate(add(add(e, d), negate(add(d, negate(e))))), negate(add(negate(add(d, negate(e))), negate(add(e, d))))))))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) R->L }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(negate(add(add(e, d), negate(add(d, negate(e))))), negate(add(negate(add(d, negate(e))), negate(add(d, e))))))))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) R->L }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(negate(add(add(e, d), negate(add(d, negate(e))))), negate(add(negate(add(d, e)), negate(add(d, negate(e)))))))))))
% 11.53/2.05 = { by axiom 5 (robbins_axiom) }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(negate(add(add(e, d), negate(add(d, negate(e))))), d))))))
% 11.53/2.05 = { by axiom 3 (associativity_of_add) }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(negate(add(e, add(d, negate(add(d, negate(e)))))), d))))))
% 11.53/2.05 = { by axiom 2 (one_times_x) R->L }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), d))))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) R->L }
% 11.53/2.05 negate(add(negate(add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), add(d, negate(e)))), negate(add(negate(e), negate(add(d, negate(add(e, multiply(one, add(d, negate(add(d, negate(e)))))))))))))
% 11.53/2.05 = { by lemma 6 }
% 11.53/2.05 negate(add(negate(add(d, add(negate(add(e, multiply(one, add(d, negate(add(d, negate(e))))))), negate(e)))), negate(add(negate(e), negate(add(d, negate(add(e, multiply(one, add(d, negate(add(d, negate(e)))))))))))))
% 11.53/2.05 = { by axiom 1 (commutativity_of_add) }
% 11.53/2.05 negate(add(negate(add(d, add(negate(e), negate(add(e, multiply(one, add(d, negate(add(d, negate(e)))))))))), negate(add(negate(e), negate(add(d, negate(add(e, multiply(one, add(d, negate(add(d, negate(e)))))))))))))
% 11.53/2.05 = { by lemma 6 }
% 11.53/2.05 negate(add(negate(add(negate(e), add(d, negate(add(e, multiply(one, add(d, negate(add(d, negate(e)))))))))), negate(add(negate(e), negate(add(d, negate(add(e, multiply(one, add(d, negate(add(d, negate(e)))))))))))))
% 11.53/2.05 = { by axiom 5 (robbins_axiom) }
% 11.53/2.05 negate(e)
% 11.53/2.05 % SZS output end Proof
% 11.53/2.05
% 11.53/2.05 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------