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 : n134.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 05:08:10 CDT 2018 0.03/0.24 % CPUTime : 2.02/1.33 % [INFO] Running in sequential loop mode. 2.81/1.57 % [CONFIG] Using configuration: timeout(300) with strategy 2.98/1.65 % [INFO] iprover registered as external prover. 2.98/1.65 % [INFO] e registered as external prover. 2.98/1.66 % [INFO] cvc4 registered as external prover. 2.98/1.66 % [INFO] Parsing finished. Scanning for conjecture ... 3.39/1.71 % [INFO] Found a conjecture and 12 axioms. Running axiom selection ... 3.57/1.75 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms). 3.57/1.80 % [INFO] Type checking passed. Searching for refutation ... 5.59/2.59 % [INFO] Killing All external provers ... 5.59/2.59 % Time passed: 2259ms 5.59/2.59 % Effective reasoning time: 1257ms 5.59/2.59 % Solved by strategy 5.59/2.60 % Axioms used in derivation (12): int_less_transitive, int_zero_one, plus_and_inverse, int_less_irreflexive, plus_commutative, real_constants, plus_and_order1, plus_zero, one_successor_of_zero, qii, int_less_total, int_leq 5.59/2.60 % No. of inferences in proof: 28 5.59/2.60 % No. of processed clauses: 1 5.59/2.60 % No. of generated clauses: 0 5.59/2.60 % No. of forward subsumed clauses: 0 5.59/2.60 % No. of backward subsumed clauses: 0 5.59/2.60 % No. of ground rewrite rules in store: 0 5.59/2.60 % No. of non-ground rewrite rules in store: 0 5.59/2.60 % No. of positive (non-rewrite) units in store: 0 5.59/2.60 % No. of negative (non-rewrite) units in store: 1 5.59/2.60 % No. of choice functions detected: 0 5.59/2.60 % No. of choice instantiations: 0 5.59/2.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2259 ms resp. 1257 ms w/o parsing 5.75/2.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 5.75/2.67 thf(n_type, type, n: $i). 5.75/2.67 thf(int_leq_type, type, int_leq: ($i > ($i > $o))). 5.75/2.67 thf(int_less_type, type, int_less: ($i > ($i > $o))). 5.75/2.67 thf(int_one_type, type, int_one: $i). 5.75/2.67 thf(real_zero_type, type, real_zero: $i). 5.75/2.67 thf(a_type, type, a: ($i > ($i > $i))). 5.75/2.67 thf(real_one_type, type, real_one: $i). 5.75/2.67 thf(int_zero_type, type, int_zero: $i). 5.75/2.67 thf(plus_type, type, plus: ($i > ($i > $i))). 5.75/2.67 thf(7,axiom,((! [A:$i]: ((int_less @ int_zero @ A) <=> (int_leq @ int_one @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_successor_of_zero)). 5.75/2.67 thf(42,plain,((! [A:$i]: (((int_less @ int_zero @ A) => (int_leq @ int_one @ A)) & ((int_leq @ int_one @ A) => (int_less @ int_zero @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 5.75/2.67 thf(4,axiom,((! [A:$i,B:$i]: ((int_less @ A @ B) <=> (? [C:$i]: ((int_less @ int_zero @ C) & ((plus @ A @ C) = B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_inverse)). 5.75/2.67 thf(24,plain,((! [A:$i,B:$i]: (((int_less @ A @ B) => (? [C:$i]: ((int_less @ int_zero @ C) & ((plus @ A @ C) = B)))) & ((? [C:$i]: ((int_less @ int_zero @ C) & ((plus @ A @ C) = B))) => (int_less @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 5.75/2.67 thf(10,axiom,((! [A:$i,B:$i]: (((int_less @ A @ B) | (A = B)) <=> (int_leq @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_leq)). 5.75/2.67 thf(52,plain,((! [A:$i,B:$i]: ((((int_less @ A @ B) | (A = B)) => (int_leq @ A @ B)) & ((int_leq @ A @ B) => ((int_less @ A @ B) | (A = B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 5.75/2.67 thf(11,axiom,((! [A:$i,B:$i,C:$i]: (((int_less @ A @ B) & (int_less @ B @ C)) => (int_less @ A @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_transitive)). 5.75/2.67 thf(61,plain,((! [A:$i,B:$i,C:$i]: (((int_less @ A @ B) & (int_less @ B @ C)) => (int_less @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 5.75/2.67 thf(3,axiom,((real_one != real_zero)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_constants)). 5.75/2.67 thf(21,plain,((~ (real_one = real_zero))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 5.75/2.67 thf(6,axiom,((! [A:$i,B:$i]: ((! [C:$i]: (((a @ C @ C) = real_one) <= ((int_leq @ C @ B) & (int_leq @ int_one @ C))) & ! [C:$i]: (((B = (plus @ A @ C)) & (int_less @ int_zero @ C)) => (! [D:$i]: (((a @ D @ (plus @ D @ C)) = real_zero) <= ((int_leq @ int_one @ D) & (int_leq @ D @ A))))) & ! [C:$i]: ((! [D:$i]: ((real_zero = (a @ (plus @ D @ C) @ D)) <= ((int_leq @ D @ B) & (int_leq @ int_one @ D)))) <= ((A = (plus @ B @ C)) & (int_less @ int_zero @ C)))) <= ((int_leq @ A @ n) & (int_leq @ int_one @ B) & (int_leq @ B @ n) & (int_leq @ int_one @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qii)). 5.75/2.67 thf(33,plain,((! [A:$i,B:$i]: ((! [C:$i]: (((a @ C @ C) = real_one) | ~ ((int_leq @ C @ B) & (int_leq @ int_one @ C))) & ! [C:$i]: (((B = (plus @ A @ C)) & (int_less @ int_zero @ C)) => (! [D:$i]: (((a @ D @ (plus @ D @ C)) = real_zero) | ~ ((int_leq @ int_one @ D) & (int_leq @ D @ A))))) & ! [C:$i]: (! [D:$i]: ((real_zero = (a @ (plus @ D @ C) @ D)) | ~ ((int_leq @ D @ B) & (int_leq @ int_one @ D))) | ~ ((A = (plus @ B @ C)) & (int_less @ int_zero @ C)))) | ~ ((int_leq @ A @ n) & (int_leq @ int_one @ B) & (int_leq @ B @ n) & (int_leq @ int_one @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 5.75/2.67 thf(5,axiom,((int_less @ int_zero @ int_one)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_zero_one)). 5.75/2.67 thf(32,plain,((int_less @ int_zero @ int_one)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 5.75/2.67 thf(9,axiom,((! [A:$i,B:$i]: ((plus @ A @ B) = (plus @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_commutative)). 5.75/2.67 thf(49,plain,((! [A:$i,B:$i]: ((plus @ A @ B) = (plus @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 5.75/2.67 thf(13,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((int_leq @ C @ D) & (int_less @ A @ B)) => (int_leq @ (plus @ A @ C) @ (plus @ B @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_order1)). 5.75/2.67 thf(66,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((int_leq @ C @ D) & (int_less @ A @ B)) => (int_leq @ (plus @ A @ C) @ (plus @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 5.75/2.67 thf(12,axiom,((! [A:$i]: ((plus @ A @ int_zero) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_zero)). 5.75/2.67 thf(63,plain,((! [A:$i]: ((plus @ A @ int_zero) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 5.75/2.67 thf(8,axiom,((! [A:$i,B:$i]: ((int_leq @ B @ A) | (int_less @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_total)). 5.75/2.67 thf(47,plain,((! [A:$i,B:$i]: ((int_leq @ B @ A) | (int_less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 5.75/2.67 thf(1,conjecture,((! [A:$i,B:$i]: (((int_leq @ A @ n) & (int_less @ B @ A) & (int_leq @ int_one @ B)) => (real_zero = (a @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ut)). 5.75/2.67 thf(2,negated_conjecture,((~ (! [A:$i,B:$i]: (((int_leq @ A @ n) & (int_less @ B @ A) & (int_leq @ int_one @ B)) => (real_zero = (a @ A @ B)))))),inference(neg_conjecture,[status(cth)],[1])). 5.75/2.67 thf(15,plain,((~ (! [A:$i,B:$i]: (((int_leq @ A @ n) & (int_less @ B @ A) & (int_leq @ int_one @ B)) => (real_zero = (a @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 5.75/2.67 thf(14,axiom,((! [A:$i,B:$i]: ((int_less @ A @ B) => (A != B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_irreflexive)). 5.75/2.67 thf(68,plain,((! [A:$i,B:$i]: ((int_less @ A @ B) => (~ (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 5.75/2.67 thf(72,plain,($false),inference(cvc4,[status(thm)],[42,24,52,61,21,33,32,49,66,63,47,15,68])). 5.75/2.67 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 5.75/2.67 % [INFO] Killing All external provers ... 5.75/2.70 EOF