%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : ROB011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 0.17s 0.48s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n026.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 23:29:12 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 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
% 0.17/0.48
% 0.17/0.48 % SZS status Unsatisfiable
% 0.17/0.48
% 0.17/0.48 % SZS output start Proof
% 0.17/0.48 Axiom 1 (commutativity_of_add): add(X, Y) = add(Y, X).
% 0.17/0.48 Axiom 2 (one_times_x): multiply(one, X) = X.
% 0.17/0.48 Axiom 3 (condition): negate(add(a, negate(b))) = c.
% 0.17/0.48 Axiom 4 (associativity_of_add): add(add(X, Y), Z) = add(X, add(Y, Z)).
% 0.17/0.48 Axiom 5 (robbins_axiom): negate(add(negate(add(X, Y)), negate(add(X, negate(Y))))) = X.
% 0.17/0.48
% 0.17/0.48 Goal 1 (prove_base_step): negate(add(a, negate(add(b, multiply(one, add(a, c)))))) = c.
% 0.17/0.48 Proof:
% 0.17/0.48 negate(add(a, negate(add(b, multiply(one, add(a, c))))))
% 0.17/0.48 = { by axiom 1 (commutativity_of_add) R->L }
% 0.17/0.48 negate(add(negate(add(b, multiply(one, add(a, c)))), a))
% 0.17/0.48 = { by axiom 2 (one_times_x) }
% 0.17/0.48 negate(add(negate(add(b, add(a, c))), a))
% 0.17/0.48 = { by axiom 1 (commutativity_of_add) R->L }
% 0.17/0.48 negate(add(negate(add(add(a, c), b)), a))
% 0.17/0.48 = { by axiom 4 (associativity_of_add) }
% 0.17/0.48 negate(add(negate(add(a, add(c, b))), a))
% 0.17/0.48 = { by axiom 1 (commutativity_of_add) }
% 0.17/0.48 negate(add(negate(add(a, add(b, c))), a))
% 0.17/0.48 = { by axiom 4 (associativity_of_add) R->L }
% 0.17/0.48 negate(add(negate(add(add(a, b), c)), a))
% 0.17/0.48 = { by axiom 5 (robbins_axiom) R->L }
% 0.17/0.48 negate(add(negate(add(add(a, b), c)), negate(add(negate(add(a, b)), negate(add(a, negate(b)))))))
% 0.17/0.49 = { by axiom 3 (condition) }
% 0.17/0.49 negate(add(negate(add(add(a, b), c)), negate(add(negate(add(a, b)), c))))
% 0.17/0.49 = { by axiom 1 (commutativity_of_add) }
% 0.17/0.49 negate(add(negate(add(add(a, b), c)), negate(add(c, negate(add(a, b))))))
% 0.17/0.49 = { by axiom 1 (commutativity_of_add) R->L }
% 0.17/0.49 negate(add(negate(add(c, add(a, b))), negate(add(c, negate(add(a, b))))))
% 0.17/0.49 = { by axiom 5 (robbins_axiom) }
% 0.17/0.49 c
% 0.17/0.49 % SZS output end Proof
% 0.17/0.49
% 0.17/0.49 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------