0.02/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.04 % 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 0.03/0.24 % Computer : n153.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:23:24 CDT 2018 0.03/0.24 % CPUTime : 2.14/1.34 % [INFO] Running in sequential loop mode. 2.80/1.58 % [CONFIG] Using configuration: timeout(300) with strategy 3.12/1.66 % [INFO] iprover registered as external prover. 3.12/1.66 % [INFO] e registered as external prover. 3.12/1.66 % [INFO] cvc4 registered as external prover. 3.12/1.67 % [INFO] Parsing finished. Scanning for conjecture ... 3.38/1.72 % [INFO] Found a conjecture and 58 axioms. Running axiom selection ... 3.67/1.79 % [INFO] Axiom selection finished. Selected 58 axioms (removed 0 axioms). 3.96/1.91 % [INFO] Type checking passed. Searching for refutation ... 6.77/2.97 % [INFO] Killing All external provers ... 6.77/2.98 % Time passed: 2644ms 6.77/2.98 % Effective reasoning time: 1626ms 6.77/2.98 % Solved by strategy 6.77/2.98 % Axioms used in derivation (58): ass(cond(223, 0), 0), ass(cond(conjunct2(conjunct2(307)), 0), 0), ass(cond(goal(193), 0), 0), ass(cond(goal(130), 0), 1), ass(cond(163, 0), 0), ass(cond(6, 0), 0), ass(cond(goal(177), 0), 0), ass(cond(goal(193), 0), 2), def(cond(conseq(axiom(3)), 11), 1), ass(cond(299, 0), 0), ass(cond(299, 0), 2), ass(cond(299, 0), 1), ass(cond(goal(88), 0), 1), ass(cond(goal(130), 0), 0), ass(cond(goal(130), 0), 3), def(cond(conseq(axiom(3)), 16), 1), ass(cond(goal(193), 0), 1), ass(cond(189, 0), 0), holds(conjunct1(314), 510, 0), qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))), ass(cond(goal(88), 0), 3), ass(cond(228, 0), 0), ass(cond(goal(202), 0), 2), ass(cond(270, 0), 0), ass(cond(184, 0), 0), ass(cond(goal(88), 0), 2), qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))), ass(cond(73, 0), 0), ass(cond(147, 0), 0), ass(cond(goal(88), 0), 0), def(cond(conseq(axiom(3)), 17), 1), holds(conjunct2(314), 513, 0), ass(cond(conjunct1(307), 0), 0), ass(cond(20, 0), 0), ass(cond(goal(202), 0), 1), ass(cond(goal(216), 0), 0), ass(cond(281, 0), 0), ass(cond(253, 0), 0), qu(antec(axiom(3)), imp(antec(axiom(3)))), ass(cond(209, 0), 0), ass(cond(261, 0), 0), ass(cond(52, 0), 0), ass(cond(conjunct1(conjunct2(307)), 0), 0), ass(cond(158, 0), 0), ass(cond(234, 0), 0), ass(cond(33, 0), 0), ass(cond(290, 0), 0), qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)), ass(cond(61, 0), 0), ass(cond(241, 0), 0), ass(cond(goal(130), 0), 2), ass(cond(goal(202), 0), 0), ass(cond(12, 0), 0), ass(cond(168, 0), 0), ass(cond(43, 0), 0), ass(cond(140, 0), 0), def(cond(conseq(axiom(3)), 12), 1), ass(cond(81, 0), 0) 6.77/2.98 % No. of inferences in proof: 120 6.77/2.98 % No. of processed clauses: 1 6.77/2.98 % No. of generated clauses: 0 6.77/2.98 % No. of forward subsumed clauses: 0 6.77/2.98 % No. of backward subsumed clauses: 0 6.77/2.98 % No. of ground rewrite rules in store: 1 6.77/2.98 % No. of non-ground rewrite rules in store: 0 6.77/2.98 % No. of positive (non-rewrite) units in store: 0 6.77/2.98 % No. of negative (non-rewrite) units in store: 0 6.77/2.98 % No. of choice functions detected: 0 6.77/2.98 % No. of choice instantiations: 0 6.77/2.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2644 ms resp. 1626 ms w/o parsing 6.89/3.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 6.89/3.05 thf(vd508_type, type, vd508: $i). 6.89/3.05 thf(vd511_type, type, vd511: $i). 6.89/3.05 thf(vmul_type, type, vmul: ($i > ($i > $i))). 6.89/3.05 thf(vd509_type, type, vd509: $i). 6.89/3.05 thf(greater_type, type, greater: ($i > ($i > $o))). 6.89/3.05 thf(leq_type, type, leq: ($i > ($i > $o))). 6.89/3.05 thf(vplus_type, type, vplus: ($i > ($i > $i))). 6.89/3.05 thf(vsucc_type, type, vsucc: ($i > $i)). 6.89/3.05 thf(v1_type, type, v1: $i). 6.89/3.05 thf(geq_type, type, geq: ($i > ($i > $o))). 6.89/3.05 thf(less_type, type, less: ($i > ($i > $o))). 6.89/3.05 thf(vskolem2_type, type, vskolem2: ($i > $i)). 6.89/3.05 thf(vd512_type, type, vd512: $i). 6.89/3.05 thf(58,axiom,((! [A:$i,B:$i]: ((A = (vmul @ A @ v1)) & ((vmul @ A @ (vsucc @ B)) = (vplus @ (vmul @ A @ B) @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')). 6.89/3.05 thf(249,plain,((! [A:$i,B:$i]: ((A = (vmul @ A @ v1)) & ((vmul @ A @ (vsucc @ B)) = (vplus @ (vmul @ A @ B) @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 6.89/3.05 thf(54,axiom,((! [A:$i,B:$i,C:$i]: ((greater @ B @ C) => (greater @ (vmul @ B @ A) @ (vmul @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)')). 6.89/3.05 thf(234,plain,((! [A:$i,B:$i,C:$i]: ((greater @ B @ C) => (greater @ (vmul @ B @ A) @ (vmul @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 6.89/3.05 thf(18,axiom,((! [A:$i,B:$i]: ((! [C:$i]: ((vplus @ C @ A) != (vplus @ C @ B))) <= (A != B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)')). 6.89/3.05 thf(115,plain,((! [A:$i,B:$i]: (! [C:$i]: ~ ((vplus @ C @ A) = (vplus @ C @ B)) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 6.89/3.05 thf(19,axiom,((! [A:$i,B:$i]: ((vsucc @ (vplus @ A @ B)) = (vplus @ (vsucc @ A) @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)')). 6.89/3.05 thf(120,plain,((! [A:$i,B:$i]: ((vsucc @ (vplus @ A @ B)) = (vplus @ (vsucc @ A) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 6.89/3.05 thf(57,axiom,((! [A:$i,B:$i]: ((greater @ B @ A) <= (less @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)')). 6.89/3.05 thf(247,plain,((! [A:$i,B:$i]: ((greater @ B @ A) | ~ (less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 6.89/3.05 thf(45,axiom,((! [A:$i,B:$i]: ((B = A) | (less @ A @ B) | (greater @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)')). 6.89/3.05 thf(202,plain,((! [A:$i,B:$i]: ((B = A) | (less @ A @ B) | (greater @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 6.89/3.05 thf(27,axiom,((! [A:$i,B:$i]: (((vsucc @ B) = (vsucc @ A)) => (B = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))')). 6.89/3.05 thf(153,plain,((! [A:$i,B:$i]: (((vsucc @ B) = (vsucc @ A)) => (B = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 6.89/3.05 thf(33,axiom,((! [A:$i,B:$i,C:$i]: ((less @ A @ B) <= (less @ (vplus @ A @ C) @ (vplus @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)')). 6.89/3.05 thf(174,plain,((! [A:$i,B:$i,C:$i]: ((less @ A @ B) | ~ (less @ (vplus @ A @ C) @ (vplus @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 6.89/3.05 thf(38,axiom,((greater @ vd508 @ vd509)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)')). 6.89/3.05 thf(185,plain,((greater @ vd508 @ vd509)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 6.89/3.05 thf(37,axiom,((greater @ vd511 @ vd512)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(314), 513, 0)')). 6.89/3.05 thf(184,plain,((greater @ vd511 @ vd512)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 6.89/3.05 thf(21,axiom,((! [A:$i,B:$i]: (((less @ B @ A) | (A = B)) <=> (leq @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)')). 6.89/3.05 thf(125,plain,((! [A:$i,B:$i]: ((((less @ B @ A) | (A = B)) => (leq @ B @ A)) & ((leq @ B @ A) => ((less @ B @ A) | (A = B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 6.89/3.05 thf(28,axiom,((! [A:$i,B:$i]: (~ (? [C:$i]: (B = (vplus @ A @ C))) | (A != B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)')). 6.89/3.05 thf(157,plain,((! [A:$i,B:$i]: (~ (? [C:$i]: (B = (vplus @ A @ C))) | ~ (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 6.89/3.05 thf(30,axiom,((! [A:$i,B:$i,C:$i]: ((A = B) => ((vplus @ B @ C) = (vplus @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 1)')). 6.89/3.05 thf(164,plain,((! [A:$i,B:$i,C:$i]: ((A = B) => ((vplus @ B @ C) = (vplus @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 6.89/3.05 thf(48,axiom,((! [A:$i,B:$i,C:$i]: ((B = C) => ((vmul @ C @ A) = (vmul @ B @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 1)')). 6.89/3.05 thf(211,plain,((! [A:$i,B:$i,C:$i]: ((B = C) => ((vmul @ C @ A) = (vmul @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 6.89/3.05 thf(56,axiom,((! [A:$i,B:$i]: ((geq @ B @ A) <=> ((A = B) | (greater @ B @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)')). 6.89/3.05 thf(238,plain,((! [A:$i,B:$i]: (((geq @ B @ A) => ((A = B) | (greater @ B @ A))) & (((A = B) | (greater @ B @ A)) => (geq @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 6.89/3.05 thf(1,conjecture,((greater @ (vmul @ vd508 @ vd511) @ (vmul @ vd509 @ vd511))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)')). 6.89/3.05 thf(2,negated_conjecture,((~ (greater @ (vmul @ vd508 @ vd511) @ (vmul @ vd509 @ vd511)))),inference(neg_conjecture,[status(cth)],[1])). 6.89/3.05 thf(61,plain,((~ (greater @ (vmul @ vd508 @ vd511) @ (vmul @ vd509 @ vd511)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 6.89/3.05 thf(11,axiom,((! [A:$i,B:$i]: ((less @ B @ A) <=> (? [C:$i]: (A = (vplus @ B @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)')). 6.89/3.05 thf(89,plain,((! [A:$i,B:$i]: (((less @ B @ A) => (? [C:$i]: (A = (vplus @ B @ C)))) & ((? [C:$i]: (A = (vplus @ B @ C))) => (less @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 6.89/3.05 thf(6,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((geq @ C @ D) & (geq @ A @ B)) => (geq @ (vplus @ A @ C) @ (vplus @ B @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(223, 0), 0)')). 6.89/3.05 thf(74,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((geq @ C @ D) & (geq @ A @ B)) => (geq @ (vplus @ A @ C) @ (vplus @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 6.89/3.05 thf(23,axiom,((! [A:$i,B:$i]: ((vplus @ A @ B) != B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)')). 6.89/3.05 thf(137,plain,((! [A:$i,B:$i]: ~ ((vplus @ A @ B) = B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 6.89/3.05 thf(43,axiom,((! [A:$i,B:$i,C:$i]: ((less @ A @ C) <= (less @ (vmul @ A @ B) @ (vmul @ C @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct2(conjunct2(307)), 0), 0)')). 6.89/3.05 thf(197,plain,((! [A:$i,B:$i,C:$i]: ((less @ A @ C) | ~ (less @ (vmul @ A @ B) @ (vmul @ C @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 6.89/3.05 thf(40,axiom,((! [A:$i,B:$i,C:$i]: ((vmul @ A @ (vplus @ B @ C)) = (vplus @ (vmul @ A @ B) @ (vmul @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)')). 6.89/3.05 thf(188,plain,((! [A:$i,B:$i,C:$i]: ((vmul @ A @ (vplus @ B @ C)) = (vplus @ (vmul @ A @ B) @ (vmul @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 6.89/3.05 thf(31,axiom,((! [A:$i,B:$i]: ((vplus @ B @ A) = (vplus @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)')). 6.89/3.05 thf(169,plain,((! [A:$i,B:$i]: ((vplus @ B @ A) = (vplus @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 6.89/3.05 thf(24,axiom,((! [A:$i]: ((vsucc @ A) != A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)')). 6.89/3.05 thf(141,plain,((! [A:$i]: ~ ((vsucc @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 6.89/3.05 thf(16,axiom,((! [A:$i,B:$i]: ((less @ A @ (vplus @ B @ v1)) => (leq @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(241, 0), 0)')). 6.89/3.05 thf(109,plain,((! [A:$i,B:$i]: ((less @ A @ (vplus @ B @ v1)) => (leq @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 6.89/3.05 thf(59,axiom,((! [A:$i,B:$i,C:$i]: ((greater @ (vmul @ A @ B) @ (vmul @ C @ B)) => (greater @ A @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(307), 0), 0)')). 6.89/3.05 thf(256,plain,((! [A:$i,B:$i,C:$i]: ((greater @ (vmul @ A @ B) @ (vmul @ C @ B)) => (greater @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 6.89/3.05 thf(51,axiom,((! [A:$i,B:$i,C:$i]: ((less @ B @ C) => (less @ (vmul @ B @ A) @ (vmul @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 0)')). 6.89/3.05 thf(225,plain,((! [A:$i,B:$i,C:$i]: ((less @ B @ C) => (less @ (vmul @ B @ A) @ (vmul @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 6.89/3.05 thf(42,axiom,((! [A:$i,B:$i]: ((A != B) | ~ (greater @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)')). 6.89/3.05 thf(193,plain,((! [A:$i,B:$i]: (~ (A = B) | ~ (greater @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 6.89/3.05 thf(12,axiom,((! [A:$i]: (geq @ A @ v1))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(228, 0), 0)')). 6.89/3.05 thf(96,plain,((! [A:$i]: (geq @ A @ v1))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 6.89/3.05 thf(22,axiom,((! [A:$i,B:$i,C:$i]: ((vplus @ A @ (vplus @ B @ C)) = (vplus @ (vplus @ A @ B) @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)')). 6.89/3.05 thf(134,plain,((! [A:$i,B:$i,C:$i]: ((vplus @ A @ (vplus @ B @ C)) = (vplus @ (vplus @ A @ B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 6.89/3.05 thf(46,axiom,((! [A:$i]: (A = (vmul @ v1 @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(253, 0), 0)')). 6.89/3.05 thf(205,plain,((! [A:$i]: (A = (vmul @ v1 @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 6.89/3.05 thf(29,axiom,((! [A:$i,B:$i]: (? [C:$i]: (A = (vplus @ B @ C)) | ? [C:$i]: (B = (vplus @ A @ C)) | (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)')). 6.89/3.05 thf(161,plain,((! [A:$i,B:$i]: (? [C:$i]: (A = (vplus @ B @ C)) | ? [C:$i]: (B = (vplus @ A @ C)) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 6.89/3.05 thf(4,axiom,((! [A:$i,B:$i]: (((vsucc @ (vplus @ A @ B)) = (vplus @ A @ (vsucc @ B))) & ((vplus @ A @ v1) = (vsucc @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))')). 6.89/3.05 thf(64,plain,((! [A:$i,B:$i]: (((vsucc @ (vplus @ A @ B)) = (vplus @ A @ (vsucc @ B))) & ((vplus @ A @ v1) = (vsucc @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 6.89/3.05 thf(35,axiom,((! [A:$i,B:$i]: (greater @ (vplus @ A @ B) @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)')). 6.89/3.05 thf(180,plain,((! [A:$i,B:$i]: (greater @ (vplus @ A @ B) @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 6.89/3.05 thf(26,axiom,((! [A:$i,B:$i]: ((A != B) => ((vsucc @ A) != (vsucc @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)')). 6.89/3.05 thf(149,plain,((! [A:$i,B:$i]: ((~ (A = B)) => (~ ((vsucc @ A) = (vsucc @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 6.89/3.05 thf(41,axiom,((! [A:$i,B:$i]: ((less @ B @ A) <= (greater @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)')). 6.89/3.05 thf(191,plain,((! [A:$i,B:$i]: ((less @ B @ A) | ~ (greater @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 6.89/3.05 thf(5,axiom,((! [A:$i]: ((vsucc @ A) = (vplus @ v1 @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)')). 6.89/3.05 thf(71,plain,((! [A:$i]: ((vsucc @ A) = (vplus @ v1 @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 6.89/3.05 thf(55,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((greater @ C @ D) & (greater @ A @ B)) => (greater @ (vplus @ A @ C) @ (vplus @ B @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(209, 0), 0)')). 6.89/3.05 thf(236,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((greater @ C @ D) & (greater @ A @ B)) => (greater @ (vplus @ A @ C) @ (vplus @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 6.89/3.05 thf(10,axiom,((! [A:$i,B:$i,C:$i]: ((less @ A @ C) <= (((leq @ B @ C) & (less @ A @ B)) | ((less @ B @ C) & (leq @ A @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)')). 6.89/3.05 thf(86,plain,((! [A:$i,B:$i,C:$i]: ((less @ A @ C) | ~ (((leq @ B @ C) & (less @ A @ B)) | ((less @ B @ C) & (leq @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 6.89/3.05 thf(32,axiom,((! [A:$i,B:$i,C:$i]: (((less @ B @ C) & (less @ A @ B)) => (less @ A @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)')). 6.89/3.05 thf(172,plain,((! [A:$i,B:$i,C:$i]: (((less @ B @ C) & (less @ A @ B)) => (less @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 6.89/3.05 thf(7,axiom,((! [A:$i,B:$i,C:$i]: ((less @ (vplus @ A @ C) @ (vplus @ B @ C)) <= (less @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)')). 6.89/3.05 thf(76,plain,((! [A:$i,B:$i,C:$i]: ((less @ (vplus @ A @ C) @ (vplus @ B @ C)) | ~ (less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 6.89/3.05 thf(13,axiom,((! [A:$i,B:$i]: ((geq @ A @ B) => (leq @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)')). 6.89/3.05 thf(98,plain,((! [A:$i,B:$i]: ((geq @ A @ B) => (leq @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 6.89/3.05 thf(47,axiom,((! [A:$i,B:$i,C:$i]: ((greater @ A @ B) <= (greater @ (vplus @ A @ C) @ (vplus @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)')). 6.89/3.05 thf(208,plain,((! [A:$i,B:$i,C:$i]: ((greater @ A @ B) | ~ (greater @ (vplus @ A @ C) @ (vplus @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 6.89/3.05 thf(20,axiom,((! [A:$i,B:$i]: ((geq @ B @ A) <= (leq @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(163, 0), 0)')). 6.89/3.05 thf(123,plain,((! [A:$i,B:$i]: ((geq @ B @ A) | ~ (leq @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 6.89/3.05 thf(25,axiom,((! [A:$i,B:$i]: (~ (? [C:$i]: (A = (vplus @ B @ C))) | ~ (? [C:$i]: (B = (vplus @ A @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)')). 6.89/3.05 thf(145,plain,((! [A:$i,B:$i]: (~ (? [C:$i]: (A = (vplus @ B @ C))) | ~ (? [C:$i]: (B = (vplus @ A @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 6.89/3.05 thf(44,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((greater @ (vplus @ A @ C) @ (vplus @ B @ D)) <= (((geq @ C @ D) & (greater @ A @ B)) | ((geq @ A @ B) & (greater @ C @ D)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)')). 6.89/3.05 thf(199,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((greater @ (vplus @ A @ C) @ (vplus @ B @ D)) | ~ (((geq @ C @ D) & (greater @ A @ B)) | ((geq @ A @ B) & (greater @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 6.89/3.05 thf(34,axiom,((! [A:$i,B:$i]: ((vmul @ B @ A) = (vmul @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)')). 6.89/3.05 thf(177,plain,((! [A:$i,B:$i]: ((vmul @ B @ A) = (vmul @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 6.89/3.05 thf(36,axiom,((! [A:$i,B:$i]: (~ (greater @ A @ B) | ~ (less @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)')). 6.89/3.05 thf(182,plain,((! [A:$i,B:$i]: (~ (greater @ A @ B) | ~ (less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 6.89/3.05 thf(53,axiom,((! [A:$i,B:$i,C:$i]: ((vmul @ A @ (vmul @ B @ C)) = (vmul @ (vmul @ A @ B) @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(290, 0), 0)')). 6.89/3.05 thf(231,plain,((! [A:$i,B:$i,C:$i]: ((vmul @ A @ (vmul @ B @ C)) = (vmul @ (vmul @ A @ B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 6.89/3.05 thf(15,axiom,((! [A:$i,B:$i,C:$i]: ((B = A) <= ((vplus @ B @ C) = (vplus @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)')). 6.89/3.05 thf(104,plain,((! [A:$i,B:$i,C:$i]: ((B = A) | ~ ((vplus @ B @ C) = (vplus @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 6.89/3.05 thf(60,axiom,((! [A:$i,B:$i]: ((vmul @ (vsucc @ A) @ B) = (vplus @ (vmul @ A @ B) @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)')). 6.89/3.05 thf(258,plain,((! [A:$i,B:$i]: ((vmul @ (vsucc @ A) @ B) = (vplus @ (vmul @ A @ B) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 6.89/3.05 thf(39,axiom,((! [A:$i,B:$i]: ((greater @ A @ B) => (geq @ A @ (vplus @ B @ v1))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(234, 0), 0)')). 6.89/3.05 thf(186,plain,((! [A:$i,B:$i]: ((greater @ A @ B) => (geq @ A @ (vplus @ B @ v1))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 6.89/3.05 thf(8,axiom,((! [A:$i,B:$i]: ((A != B) | ~ (less @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)')). 6.89/3.05 thf(79,plain,((! [A:$i,B:$i]: (~ (A = B) | ~ (less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 6.89/3.05 thf(3,axiom,((! [A:$i,B:$i,C:$i]: (((leq @ B @ C) & (leq @ A @ B)) => (leq @ A @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(184, 0), 0)')). 6.89/3.05 thf(62,plain,((! [A:$i,B:$i,C:$i]: (((leq @ B @ C) & (leq @ A @ B)) => (leq @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 6.89/3.05 thf(17,axiom,((! [A:$i,B:$i]: (~ (? [C:$i]: ((vplus @ B @ C) = A)) | (A != B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)')). 6.89/3.05 thf(111,plain,((! [A:$i,B:$i]: (~ (? [C:$i]: ((vplus @ B @ C) = A)) | ~ (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 6.89/3.05 thf(52,axiom,((! [A:$i,B:$i,C:$i]: ((C = A) <= ((vmul @ C @ B) = (vmul @ A @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(307)), 0), 0)')). 6.89/3.05 thf(227,plain,((! [A:$i,B:$i,C:$i]: ((C = A) | ~ ((vmul @ C @ B) = (vmul @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 6.89/3.05 thf(9,axiom,((! [A:$i]: ((A != v1) => (A = (vsucc @ (vskolem2 @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)')). 6.89/3.05 thf(83,plain,((! [A:$i]: ((~ (A = v1)) => (A = (vsucc @ (vskolem2 @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 6.89/3.05 thf(49,axiom,((! [A:$i,B:$i]: ((greater @ B @ A) <=> (? [C:$i]: ((vplus @ A @ C) = B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)')). 6.89/3.05 thf(215,plain,((! [A:$i,B:$i]: (((greater @ B @ A) => (? [C:$i]: ((vplus @ A @ C) = B))) & ((? [C:$i]: ((vplus @ A @ C) = B)) => (greater @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 6.89/3.05 thf(50,axiom,((! [A:$i,B:$i,C:$i]: ((greater @ A @ B) => (greater @ (vplus @ A @ C) @ (vplus @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)')). 6.89/3.05 thf(222,plain,((! [A:$i,B:$i,C:$i]: ((greater @ A @ B) => (greater @ (vplus @ A @ C) @ (vplus @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 6.89/3.05 thf(14,axiom,((! [A:$i]: ((vsucc @ A) != v1))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))')). 6.89/3.05 thf(100,plain,((! [A:$i]: ~ ((vsucc @ A) = v1))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 6.89/3.05 thf(261,plain,($false),inference(iprover,[status(thm)],[249,234,115,120,247,202,153,174,185,184,125,157,164,211,238,61,89,74,137,197,188,169,141,109,256,225,193,96,134,205,161,64,180,149,191,71,236,86,172,76,98,208,123,145,199,177,182,231,104,258,186,79,62,111,227,83,215,222,100])). 6.89/3.05 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 6.89/3.05 % [INFO] Killing All external provers ... 7.02/3.11 EOF