0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -Xss128m -Xmx4g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar %s -t %d -p --atp cvc4=/export/starexec/sandbox2/solver/bin/externals/cvc4 --atp e=/export/starexec/sandbox2/solver/bin/externals/eprover --atp iprover=/export/starexec/sandbox2/solver/bin/externals/iprover 0.03/0.23 % Computer : n118.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:06:55 CDT 2018 0.03/0.23 % CPUTime : 1.78/1.20 % [INFO] Running in sequential loop mode. 2.41/1.44 % [CONFIG] Using configuration: timeout(300) with strategy 2.81/1.52 % [INFO] iprover registered as external prover. 2.81/1.52 % [INFO] e registered as external prover. 2.81/1.53 % [INFO] cvc4 registered as external prover. 2.81/1.53 % [INFO] Parsing finished. Scanning for conjecture ... 2.81/1.57 % [INFO] Found a conjecture and 16 axioms. Running axiom selection ... 3.11/1.64 % [INFO] Axiom selection finished. Selected 16 axioms (removed 0 axioms). 3.11/1.69 % [INFO] Type checking passed. Searching for refutation ... 5.11/2.37 % [INFO] Killing All external provers ... 5.11/2.39 % Time passed: 2059ms 5.11/2.39 % Effective reasoning time: 1174ms 5.11/2.39 % Solved by strategy 5.11/2.39 % Axioms used in derivation (16): additive_identity, star_induction_right, left_annihilation, star_induction_left, additive_idempotence, additive_associativity, right_distributivity, multiplicative_right_identity, star_unfold_right, order, additive_commutativity, star_unfold_left, right_annihilation, multiplicative_left_identity, multiplicative_associativity, left_distributivity 5.11/2.39 % No. of inferences in proof: 36 5.11/2.39 % No. of processed clauses: 1 5.11/2.39 % No. of generated clauses: 0 5.11/2.39 % No. of forward subsumed clauses: 0 5.11/2.39 % No. of backward subsumed clauses: 0 5.11/2.39 % No. of ground rewrite rules in store: 1 5.11/2.39 % No. of non-ground rewrite rules in store: 0 5.11/2.39 % No. of positive (non-rewrite) units in store: 0 5.11/2.39 % No. of negative (non-rewrite) units in store: 0 5.11/2.39 % No. of choice functions detected: 0 5.11/2.39 % No. of choice instantiations: 0 5.11/2.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2059 ms resp. 1174 ms w/o parsing 5.11/2.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 5.11/2.44 thf(a_type, type, a: $i). 5.11/2.44 thf(multiplication_type, type, multiplication: ($i > ($i > $i))). 5.11/2.44 thf(star_type, type, star: ($i > $i)). 5.11/2.44 thf(leq_type, type, leq: ($i > ($i > $o))). 5.11/2.44 thf(addition_type, type, addition: ($i > ($i > $i))). 5.11/2.44 thf(zero_type, type, zero: $i). 5.11/2.44 thf(one_type, type, one: $i). 5.11/2.44 thf(11,axiom,((! [A:$i]: (zero = (multiplication @ A @ zero)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation)). 5.11/2.44 thf(42,plain,((! [A:$i]: (zero = (multiplication @ A @ zero)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 5.11/2.44 thf(9,axiom,((! [A:$i]: (leq @ (addition @ one @ (multiplication @ A @ (star @ A))) @ (star @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right)). 5.11/2.44 thf(37,plain,((! [A:$i]: (leq @ (addition @ one @ (multiplication @ A @ (star @ A))) @ (star @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 5.11/2.44 thf(3,axiom,((! [A:$i,B:$i]: ((addition @ A @ B) = (addition @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity)). 5.11/2.44 thf(20,plain,((! [A:$i,B:$i]: ((addition @ A @ B) = (addition @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 5.11/2.44 thf(6,axiom,((! [A:$i,B:$i,C:$i]: ((addition @ (addition @ C @ B) @ A) = (addition @ C @ (addition @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity)). 5.11/2.44 thf(29,plain,((! [A:$i,B:$i,C:$i]: ((addition @ (addition @ C @ B) @ A) = (addition @ C @ (addition @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 5.11/2.44 thf(18,axiom,((! [A:$i,B:$i]: (((addition @ A @ B) = B) <=> (leq @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order)). 5.11/2.44 thf(61,plain,((! [A:$i,B:$i]: ((((addition @ A @ B) = B) => (leq @ A @ B)) & ((leq @ A @ B) => ((addition @ A @ B) = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 5.11/2.44 thf(15,axiom,((! [A:$i]: (leq @ (addition @ one @ (multiplication @ (star @ A) @ A)) @ (star @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left)). 5.11/2.44 thf(53,plain,((! [A:$i]: (leq @ (addition @ one @ (multiplication @ (star @ A) @ A)) @ (star @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 5.11/2.44 thf(7,axiom,((! [A:$i,B:$i,C:$i]: ((leq @ (multiplication @ C @ (star @ B)) @ A) <= (leq @ (addition @ (multiplication @ A @ B) @ C) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_right)). 5.11/2.44 thf(32,plain,((! [A:$i,B:$i,C:$i]: ((leq @ (multiplication @ C @ (star @ B)) @ A) | ~ (leq @ (addition @ (multiplication @ A @ B) @ C) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 5.11/2.44 thf(8,axiom,((! [A:$i]: ((multiplication @ zero @ A) = zero))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation)). 5.11/2.44 thf(34,plain,((! [A:$i]: ((multiplication @ zero @ A) = zero))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 5.11/2.44 thf(12,axiom,((! [A:$i,B:$i,C:$i]: ((addition @ (multiplication @ A @ C) @ (multiplication @ B @ C)) = (multiplication @ (addition @ A @ B) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity)). 5.11/2.44 thf(45,plain,((! [A:$i,B:$i,C:$i]: ((addition @ (multiplication @ A @ C) @ (multiplication @ B @ C)) = (multiplication @ (addition @ A @ B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 5.11/2.44 thf(10,axiom,((! [A:$i,B:$i,C:$i]: ((addition @ (multiplication @ A @ B) @ (multiplication @ A @ C)) = (multiplication @ A @ (addition @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity)). 5.11/2.44 thf(39,plain,((! [A:$i,B:$i,C:$i]: ((addition @ (multiplication @ A @ B) @ (multiplication @ A @ C)) = (multiplication @ A @ (addition @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 5.11/2.44 thf(13,axiom,((! [A:$i]: (A = (multiplication @ one @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity)). 5.11/2.44 thf(48,plain,((! [A:$i]: (A = (multiplication @ one @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 5.11/2.44 thf(5,axiom,((! [A:$i]: (A = (addition @ A @ zero)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity)). 5.11/2.44 thf(26,plain,((! [A:$i]: (A = (addition @ A @ zero)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 5.11/2.44 thf(16,axiom,((! [A:$i,B:$i,C:$i]: ((multiplication @ (multiplication @ A @ B) @ C) = (multiplication @ A @ (multiplication @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity)). 5.11/2.44 thf(55,plain,((! [A:$i,B:$i,C:$i]: ((multiplication @ (multiplication @ A @ B) @ C) = (multiplication @ A @ (multiplication @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 5.11/2.44 thf(4,axiom,((! [A:$i]: (A = (addition @ A @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence)). 5.11/2.44 thf(23,plain,((! [A:$i]: (A = (addition @ A @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 5.11/2.44 thf(17,axiom,((! [A:$i]: ((multiplication @ A @ one) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity)). 5.11/2.44 thf(58,plain,((! [A:$i]: ((multiplication @ A @ one) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 5.11/2.44 thf(14,axiom,((! [A:$i,B:$i,C:$i]: ((leq @ (addition @ (multiplication @ A @ B) @ C) @ B) => (leq @ (multiplication @ (star @ A) @ C) @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_left)). 5.11/2.44 thf(51,plain,((! [A:$i,B:$i,C:$i]: ((leq @ (addition @ (multiplication @ A @ B) @ C) @ B) => (leq @ (multiplication @ (star @ A) @ C) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 5.11/2.44 thf(1,conjecture,((leq @ (multiplication @ a @ a) @ (star @ a))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a)). 5.11/2.44 thf(2,negated_conjecture,((~ (leq @ (multiplication @ a @ a) @ (star @ a)))),inference(neg_conjecture,[status(cth)],[1])). 5.11/2.44 thf(19,plain,((~ (leq @ (multiplication @ a @ a) @ (star @ a)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 5.11/2.44 thf(68,plain,($false),inference(e,[status(thm)],[42,37,20,29,61,53,32,34,45,39,48,26,55,23,58,51,19])). 5.11/2.44 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 5.11/2.44 % [INFO] Killing All external provers ... 5.14/2.48 EOF