0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : java -Xss128m -Xmx4g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar %s -t %d -p --atp cvc4=/export/starexec/sandbox/solver/bin/externals/cvc4 --atp e=/export/starexec/sandbox/solver/bin/externals/eprover --atp iprover=/export/starexec/sandbox/solver/bin/externals/iprover 0.03/0.25 % Computer : n068.star.cs.uiowa.edu 0.03/0.25 % Model : x86_64 x86_64 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.25 % Memory : 32218.625MB 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.25 % CPULimit : 300 0.03/0.25 % DateTime : Sat Jul 14 05:30:10 CDT 2018 0.03/0.25 % CPUTime : 1.84/1.23 % [INFO] Running in sequential loop mode. 2.55/1.47 % [CONFIG] Using configuration: timeout(300) with strategy 2.81/1.56 % [INFO] iprover registered as external prover. 2.81/1.56 % [INFO] e registered as external prover. 2.81/1.56 % [INFO] cvc4 registered as external prover. 2.81/1.56 % [INFO] Parsing finished. Scanning for conjecture ... 2.99/1.61 % [INFO] Found a conjecture and 11 axioms. Running axiom selection ... 2.99/1.65 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms). 3.20/1.69 % [INFO] Type checking passed. Searching for refutation ... 4.79/2.48 % [INFO] Killing All external provers ... 4.89/2.48 % Time passed: 2143ms 4.89/2.49 % Effective reasoning time: 1244ms 4.89/2.49 % Solved by strategy 4.89/2.49 % Axioms used in derivation (11): power_set, unordered_pair, union, intersection, empty_set, subset, equal_set, singleton, difference, sum, product 4.89/2.49 % No. of inferences in proof: 26 4.89/2.49 % No. of processed clauses: 1 4.89/2.49 % No. of generated clauses: 0 4.89/2.49 % No. of forward subsumed clauses: 0 4.89/2.49 % No. of backward subsumed clauses: 0 4.89/2.49 % No. of ground rewrite rules in store: 0 4.89/2.49 % No. of non-ground rewrite rules in store: 1 4.89/2.49 % No. of positive (non-rewrite) units in store: 0 4.89/2.49 % No. of negative (non-rewrite) units in store: 0 4.89/2.49 % No. of choice functions detected: 0 4.89/2.49 % No. of choice instantiations: 0 4.89/2.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2143 ms resp. 1244 ms w/o parsing 4.89/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 4.89/2.54 thf(intersection_type, type, intersection: ($i > ($i > $i))). 4.89/2.54 thf(equal_set_type, type, equal_set: ($i > ($i > $o))). 4.89/2.54 thf(member_type, type, member: ($i > ($i > $o))). 4.89/2.54 thf(union_type, type, union: ($i > ($i > $i))). 4.89/2.54 thf(product_type, type, product: ($i > $i)). 4.89/2.54 thf(difference_type, type, difference: ($i > ($i > $i))). 4.89/2.54 thf(subset_type, type, subset: ($i > ($i > $o))). 4.89/2.54 thf(singleton_type, type, singleton: ($i > $i)). 4.89/2.54 thf(sum_type, type, sum: ($i > $i)). 4.89/2.54 thf(empty_set_type, type, empty_set: $i). 4.89/2.54 thf(power_set_type, type, power_set: ($i > $i)). 4.89/2.54 thf(unordered_pair_type, type, unordered_pair: ($i > ($i > $i))). 4.89/2.54 thf(1,conjecture,((! [A:$i,B:$i,C:$i]: (equal_set @ (intersection @ (intersection @ A @ B) @ C) @ (intersection @ A @ (intersection @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI08)). 4.89/2.54 thf(2,negated_conjecture,((~ (! [A:$i,B:$i,C:$i]: (equal_set @ (intersection @ (intersection @ A @ B) @ C) @ (intersection @ A @ (intersection @ B @ C)))))),inference(neg_conjecture,[status(cth)],[1])). 4.89/2.54 thf(14,plain,((~ (! [A:$i,B:$i,C:$i]: (equal_set @ (intersection @ (intersection @ A @ B) @ C) @ (intersection @ A @ (intersection @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 4.89/2.54 thf(5,axiom,((! [A:$i,B:$i]: ((member @ A @ (product @ B)) <=> (! [C:$i]: ((member @ C @ B) => (member @ A @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',product)). 4.89/2.54 thf(29,plain,((! [A:$i,B:$i]: (((member @ A @ (product @ B)) => (! [C:$i]: ((member @ C @ B) => (member @ A @ C)))) & ((! [C:$i]: ((member @ C @ B) => (member @ A @ C))) => (member @ A @ (product @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 4.89/2.54 thf(10,axiom,((! [A:$i]: ~ (member @ A @ empty_set))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set)). 4.89/2.54 thf(64,plain,((! [A:$i]: ~ (member @ A @ empty_set))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 4.89/2.54 thf(4,axiom,((! [A:$i,B:$i,C:$i]: ((member @ A @ (union @ B @ C)) <=> ((member @ A @ C) | (member @ A @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',union)). 4.89/2.54 thf(22,plain,((! [A:$i,B:$i,C:$i]: (((member @ A @ (union @ B @ C)) => ((member @ A @ C) | (member @ A @ B))) & (((member @ A @ C) | (member @ A @ B)) => (member @ A @ (union @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 4.89/2.54 thf(8,axiom,((! [A:$i,B:$i]: ((A = B) <=> (member @ A @ (singleton @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton)). 4.89/2.54 thf(50,plain,((! [A:$i,B:$i]: (((A = B) => (member @ A @ (singleton @ B))) & ((member @ A @ (singleton @ B)) => (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 4.89/2.54 thf(11,axiom,((! [A:$i,B:$i]: ((member @ A @ (power_set @ B)) <=> (subset @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_set)). 4.89/2.54 thf(67,plain,((! [A:$i,B:$i]: (((member @ A @ (power_set @ B)) => (subset @ A @ B)) & ((subset @ A @ B) => (member @ A @ (power_set @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 4.89/2.54 thf(3,axiom,((! [A:$i,B:$i,C:$i]: ((member @ A @ (intersection @ B @ C)) <=> ((member @ A @ B) & (member @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection)). 4.89/2.54 thf(16,plain,((! [A:$i,B:$i,C:$i]: (((member @ A @ (intersection @ B @ C)) => ((member @ A @ B) & (member @ A @ C))) & (((member @ A @ B) & (member @ A @ C)) => (member @ A @ (intersection @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 4.89/2.54 thf(12,axiom,((! [A:$i,B:$i,C:$i]: ((member @ A @ (unordered_pair @ B @ C)) <=> ((A = C) | (B = A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair)). 4.89/2.54 thf(72,plain,((! [A:$i,B:$i,C:$i]: (((member @ A @ (unordered_pair @ B @ C)) => ((A = C) | (B = A))) & (((A = C) | (B = A)) => (member @ A @ (unordered_pair @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 4.89/2.54 thf(7,axiom,((! [A:$i,B:$i]: (((subset @ A @ B) & (subset @ B @ A)) <=> (equal_set @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set)). 4.89/2.54 thf(43,plain,((! [A:$i,B:$i]: ((((subset @ A @ B) & (subset @ B @ A)) => (equal_set @ A @ B)) & ((equal_set @ A @ B) => ((subset @ A @ B) & (subset @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 4.89/2.54 thf(9,axiom,((! [A:$i,B:$i]: ((member @ A @ (sum @ B)) <=> (? [C:$i]: ((member @ C @ B) & (member @ A @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum)). 4.89/2.54 thf(58,plain,((! [A:$i,B:$i]: (((member @ A @ (sum @ B)) => (? [C:$i]: ((member @ C @ B) & (member @ A @ C)))) & ((? [C:$i]: ((member @ C @ B) & (member @ A @ C))) => (member @ A @ (sum @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 4.89/2.54 thf(13,axiom,((! [A:$i,B:$i]: ((subset @ A @ B) <=> (! [C:$i]: ((member @ C @ B) <= (member @ C @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset)). 4.89/2.54 thf(82,plain,((! [A:$i,B:$i]: (((subset @ A @ B) => (! [C:$i]: ((member @ C @ B) | ~ (member @ C @ A)))) & ((! [C:$i]: ((member @ C @ B) | ~ (member @ C @ A))) => (subset @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 4.89/2.54 thf(6,axiom,((! [A:$i,B:$i,C:$i]: (((member @ A @ C) & ~ (member @ A @ B)) <=> (member @ A @ (difference @ C @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference)). 4.89/2.54 thf(36,plain,((! [A:$i,B:$i,C:$i]: ((((member @ A @ C) & ~ (member @ A @ B)) => (member @ A @ (difference @ C @ B))) & ((member @ A @ (difference @ C @ B)) => ((member @ A @ C) & ~ (member @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 4.89/2.54 thf(89,plain,($false),inference(cvc4,[status(thm)],[14,29,64,22,50,67,16,72,43,58,82,36])). 4.89/2.54 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 4.89/2.54 % [INFO] Killing All external provers ... 5.08/2.60 EOF