0.00/0.18 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.18 % 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 0.05/0.65 % Computer : n010.star.cs.uiowa.edu 0.05/0.65 % Model : x86_64 x86_64 0.05/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.05/0.65 % Memory : 32218.625MB 0.05/0.65 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.05/0.65 % CPULimit : 300 0.05/0.65 % DateTime : Fri Jul 13 14:53:00 CDT 2018 0.05/0.65 % CPUTime : 2.22/1.73 % [INFO] Running in sequential loop mode. 2.66/1.95 % [CONFIG] Using configuration: timeout(300) with strategy 2.71/2.03 % [INFO] iprover registered as external prover. 2.71/2.03 % [INFO] e registered as external prover. 2.84/2.04 % [INFO] cvc4 registered as external prover. 2.84/2.04 % [INFO] Parsing finished. Scanning for conjecture ... 2.89/2.09 % [INFO] Found a conjecture and 55 axioms. Running axiom selection ... 3.02/2.16 % [INFO] Axiom selection finished. Selected 55 axioms (removed 0 axioms). 3.30/2.26 % [INFO] Type checking passed. Searching for refutation ... 5.93/3.24 % [INFO] Killing All external provers ... 5.93/3.24 % Time passed: 2496ms 5.93/3.24 % Effective reasoning time: 1498ms 5.93/3.24 % Solved by strategy 5.93/3.24 % Axioms used in derivation (55): ass(cond(223, 0), 0), ass(cond(goal(193), 0), 0), ass(cond(goal(130), 0), 1), ass(cond(163, 0), 0), ass(cond(6, 0), 0), holds(286, 441, 2), holds(284, 438, 2), ass(cond(goal(177), 0), 0), ass(cond(goal(193), 0), 2), def(cond(conseq(axiom(3)), 11), 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), 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), holds(286, 441, 1), 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), ass(cond(20, 0), 0), ass(cond(goal(202), 0), 1), ass(cond(goal(216), 0), 0), holds(285, 440, 0), ass(cond(253, 0), 0), qu(antec(axiom(3)), imp(antec(axiom(3)))), ass(cond(209, 0), 0), holds(286, 441, 0), ass(cond(261, 0), 0), holds(284, 438, 0), ass(cond(52, 0), 0), ass(cond(158, 0), 0), ass(cond(234, 0), 0), ass(cond(33, 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), holds(284, 438, 1), ass(cond(81, 0), 0) 5.93/3.24 % No. of inferences in proof: 114 5.93/3.24 % No. of processed clauses: 1 5.93/3.24 % No. of generated clauses: 0 5.93/3.24 % No. of forward subsumed clauses: 0 5.93/3.24 % No. of backward subsumed clauses: 0 5.93/3.24 % No. of ground rewrite rules in store: 0 5.93/3.24 % No. of non-ground rewrite rules in store: 1 5.93/3.24 % No. of positive (non-rewrite) units in store: 0 5.93/3.24 % No. of negative (non-rewrite) units in store: 0 5.93/3.24 % No. of choice functions detected: 0 5.93/3.24 % No. of choice instantiations: 0 5.93/3.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2496 ms resp. 1498 ms w/o parsing 5.99/3.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 5.99/3.30 thf(vd436_type, type, vd436: $i). 5.99/3.30 thf(vd437_type, type, vd437: $i). 5.99/3.30 thf(vmul_type, type, vmul: ($i > ($i > $i))). 5.99/3.30 thf(vd439_type, type, vd439: $i). 5.99/3.30 thf(vplus_type, type, vplus: ($i > ($i > $i))). 5.99/3.30 thf(greater_type, type, greater: ($i > ($i > $o))). 5.99/3.30 thf(geq_type, type, geq: ($i > ($i > $o))). 5.99/3.30 thf(less_type, type, less: ($i > ($i > $o))). 5.99/3.30 thf(vsucc_type, type, vsucc: ($i > $i)). 5.99/3.30 thf(v1_type, type, v1: $i). 5.99/3.30 thf(leq_type, type, leq: ($i > ($i > $o))). 5.99/3.30 thf(vskolem2_type, type, vskolem2: ($i > $i)). 5.99/3.30 thf(4,axiom,((! [A:$i,B:$i]: ((greater @ A @ B) => (less @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)')). 5.99/3.30 thf(69,plain,((! [A:$i,B:$i]: ((greater @ A @ B) => (less @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 5.99/3.30 thf(20,axiom,((! [A:$i,B:$i]: ((A != B) => ((vsucc @ A) != (vsucc @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)')). 5.99/3.30 thf(120,plain,((! [A:$i,B:$i]: ((~ (A = B)) => (~ ((vsucc @ A) = (vsucc @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 5.99/3.30 thf(45,axiom,((! [A:$i,B:$i]: ((A != B) | ~ (? [C:$i]: ((vplus @ A @ C) = B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)')). 5.99/3.30 thf(202,plain,((! [A:$i,B:$i]: (~ (A = B) | ~ (? [C:$i]: ((vplus @ A @ C) = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 5.99/3.30 thf(26,axiom,((! [A:$i,B:$i,C:$i]: ((vplus @ (vplus @ A @ B) @ C) = (vplus @ A @ (vplus @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)')). 5.99/3.30 thf(142,plain,((! [A:$i,B:$i,C:$i]: ((vplus @ (vplus @ A @ B) @ C) = (vplus @ A @ (vplus @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 5.99/3.30 thf(42,axiom,((! [A:$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(193), 0), 0)')). 5.99/3.30 thf(185,plain,((! [A:$i,B:$i,C:$i]: ((less @ A @ B) => (less @ (vplus @ A @ C) @ (vplus @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 5.99/3.30 thf(31,axiom,((! [A:$i,B:$i]: ((leq @ A @ B) <= (less @ A @ (vplus @ B @ v1))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(241, 0), 0)')). 5.99/3.30 thf(157,plain,((! [A:$i,B:$i]: ((leq @ A @ B) | ~ (less @ A @ (vplus @ B @ v1))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 5.99/3.30 thf(29,axiom,((! [A:$i,B:$i,C:$i]: ((greater @ (vplus @ A @ C) @ (vplus @ B @ C)) => (greater @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)')). 5.99/3.30 thf(152,plain,((! [A:$i,B:$i,C:$i]: ((greater @ (vplus @ A @ C) @ (vplus @ B @ C)) => (greater @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 5.99/3.30 thf(49,axiom,((! [A:$i,B:$i,C:$i]: ((B = A) <= ((vplus @ A @ C) = (vplus @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)')). 5.99/3.30 thf(216,plain,((! [A:$i,B:$i,C:$i]: ((B = A) | ~ ((vplus @ A @ C) = (vplus @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 5.99/3.30 thf(34,axiom,((! [A:$i,B:$i]: ((! [C:$i]: ((vplus @ C @ A) != (vplus @ C @ B))) <= (B != A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)')). 5.99/3.30 thf(164,plain,((! [A:$i,B:$i]: (! [C:$i]: ~ ((vplus @ C @ A) = (vplus @ C @ B)) | (B = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 5.99/3.30 thf(50,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((greater @ C @ D) & (greater @ A @ B)) => (greater @ (vplus @ A @ C) @ (vplus @ B @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(209, 0), 0)')). 5.99/3.30 thf(221,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((greater @ C @ D) & (greater @ A @ B)) => (greater @ (vplus @ A @ C) @ (vplus @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 5.99/3.30 thf(46,axiom,((! [A:$i,B:$i]: (B != (vplus @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)')). 5.99/3.30 thf(206,plain,((! [A:$i,B:$i]: ~ (B = (vplus @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 5.99/3.30 thf(57,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((geq @ (vplus @ A @ C) @ (vplus @ B @ D)) <= ((geq @ A @ B) & (geq @ C @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(223, 0), 0)')). 5.99/3.30 thf(248,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((geq @ (vplus @ A @ C) @ (vplus @ B @ D)) | ~ ((geq @ A @ B) & (geq @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 5.99/3.30 thf(3,axiom,((! [A:$i,B:$i]: (((greater @ B @ A) | (B = A)) <=> (geq @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)')). 5.99/3.30 thf(60,plain,((! [A:$i,B:$i]: ((((greater @ B @ A) | (B = A)) => (geq @ B @ A)) & ((geq @ B @ A) => ((greater @ B @ A) | (B = A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 5.99/3.30 thf(9,axiom,((! [A:$i]: (geq @ A @ v1))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(228, 0), 0)')). 5.99/3.30 thf(85,plain,((! [A:$i]: (geq @ A @ v1))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 5.99/3.30 thf(16,axiom,((! [A:$i]: ((v1 != A) => (A = (vsucc @ (vskolem2 @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)')). 5.99/3.30 thf(102,plain,((! [A:$i]: ((~ (v1 = A)) => (A = (vsucc @ (vskolem2 @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 5.99/3.30 thf(24,axiom,(((vmul @ vd436 @ (vplus @ vd437 @ vd439)) = (vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ vd439)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(285, 440, 0)')). 5.99/3.30 thf(137,plain,(((vmul @ vd436 @ (vplus @ vd437 @ vd439)) = (vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ vd439)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 5.99/3.30 thf(12,axiom,((! [A:$i,B:$i]: ((leq @ B @ A) <= (geq @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)')). 5.99/3.30 thf(92,plain,((! [A:$i,B:$i]: ((leq @ B @ A) | ~ (geq @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 5.99/3.30 thf(43,axiom,((! [A:$i,B:$i]: (((vplus @ A @ v1) = (vsucc @ A)) & ((vsucc @ (vplus @ A @ B)) = (vplus @ A @ (vsucc @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))')). 5.99/3.30 thf(188,plain,((! [A:$i,B:$i]: (((vplus @ A @ v1) = (vsucc @ A)) & ((vsucc @ (vplus @ A @ B)) = (vplus @ A @ (vsucc @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 5.99/3.30 thf(35,axiom,(((vmul @ vd436 @ (vplus @ vd437 @ (vsucc @ vd439))) = (vmul @ vd436 @ (vsucc @ (vplus @ vd437 @ vd439))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 0)')). 5.99/3.30 thf(169,plain,(((vmul @ vd436 @ (vplus @ vd437 @ (vsucc @ vd439))) = (vmul @ vd436 @ (vsucc @ (vplus @ vd437 @ vd439))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 5.99/3.30 thf(21,axiom,((! [A:$i,B:$i]: ((less @ A @ B) | (greater @ A @ B) | (B = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)')). 5.99/3.30 thf(124,plain,((! [A:$i,B:$i]: ((less @ A @ B) | (greater @ A @ B) | (B = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 5.99/3.30 thf(7,axiom,((! [A:$i,B:$i]: ((B != A) | ~ (less @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)')). 5.99/3.30 thf(77,plain,((! [A:$i,B:$i]: (~ (B = A) | ~ (less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 5.99/3.30 thf(14,axiom,((! [A:$i]: (v1 != (vsucc @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))')). 5.99/3.30 thf(96,plain,((! [A:$i]: ~ (v1 = (vsucc @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 5.99/3.30 thf(37,axiom,((! [A:$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)')). 5.99/3.30 thf(173,plain,((! [A:$i,B:$i,C:$i]: ((greater @ A @ B) => (greater @ (vplus @ A @ C) @ (vplus @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 5.99/3.30 thf(23,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((vplus @ B @ C) = A)) <=> (less @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)')). 5.99/3.30 thf(129,plain,((! [A:$i,B:$i]: (((? [C:$i]: ((vplus @ B @ C) = A)) => (less @ B @ A)) & ((less @ B @ A) => (? [C:$i]: ((vplus @ B @ C) = A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 5.99/3.30 thf(6,axiom,((! [A:$i,B:$i]: ((A != B) | ~ (greater @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)')). 5.99/3.30 thf(73,plain,((! [A:$i,B:$i]: (~ (A = B) | ~ (greater @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 5.99/3.30 thf(17,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)')). 5.99/3.30 thf(105,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)],[17])). 5.99/3.30 thf(33,axiom,((! [A:$i]: ((vplus @ v1 @ A) = (vsucc @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)')). 5.99/3.30 thf(161,plain,((! [A:$i]: ((vplus @ v1 @ A) = (vsucc @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 5.99/3.30 thf(40,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)')). 5.99/3.30 thf(180,plain,((! [A:$i,B:$i]: ((vsucc @ (vplus @ A @ B)) = (vplus @ (vsucc @ A) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 5.99/3.30 thf(28,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((((geq @ A @ B) & (greater @ C @ D)) | ((geq @ C @ D) & (greater @ A @ B))) => (greater @ (vplus @ A @ C) @ (vplus @ B @ D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)')). 5.99/3.30 thf(149,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((((geq @ A @ B) & (greater @ C @ D)) | ((geq @ C @ D) & (greater @ A @ B))) => (greater @ (vplus @ A @ C) @ (vplus @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 5.99/3.30 thf(38,axiom,(((vmul @ vd436 @ (vsucc @ vd437)) = (vplus @ (vmul @ vd436 @ vd437) @ vd436))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(284, 438, 1)')). 5.99/3.30 thf(176,plain,(((vmul @ vd436 @ (vsucc @ vd437)) = (vplus @ (vmul @ vd436 @ vd437) @ vd436))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 5.99/3.30 thf(19,axiom,((! [A:$i,B:$i]: ((greater @ B @ A) <= (less @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)')). 5.99/3.30 thf(118,plain,((! [A:$i,B:$i]: ((greater @ B @ A) | ~ (less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 5.99/3.30 thf(5,axiom,((! [A:$i,B:$i]: (~ (greater @ A @ B) | ~ (less @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)')). 5.99/3.30 thf(71,plain,((! [A:$i,B:$i]: (~ (greater @ A @ B) | ~ (less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 5.99/3.30 thf(32,axiom,(((vmul @ vd436 @ (vsucc @ (vplus @ vd437 @ vd439))) = (vplus @ (vmul @ vd436 @ (vplus @ vd437 @ vd439)) @ vd436))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 1)')). 5.99/3.30 thf(159,plain,(((vmul @ vd436 @ (vsucc @ (vplus @ vd437 @ vd439))) = (vplus @ (vmul @ vd436 @ (vplus @ vd437 @ vd439)) @ vd436))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 5.99/3.30 thf(8,axiom,((! [A:$i,B:$i]: ((A = B) <= ((vsucc @ A) = (vsucc @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))')). 5.99/3.30 thf(81,plain,((! [A:$i,B:$i]: ((A = B) | ~ ((vsucc @ A) = (vsucc @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 5.99/3.30 thf(56,axiom,((! [A:$i,B:$i]: ((vmul @ A @ B) = (vmul @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)')). 5.99/3.30 thf(245,plain,((! [A:$i,B:$i]: ((vmul @ A @ B) = (vmul @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 5.99/3.30 thf(48,axiom,((! [A:$i,B:$i]: ((vplus @ (vmul @ A @ B) @ B) = (vmul @ (vsucc @ A) @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)')). 5.99/3.30 thf(213,plain,((! [A:$i,B:$i]: ((vplus @ (vmul @ A @ B) @ B) = (vmul @ (vsucc @ A) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 5.99/3.30 thf(30,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)')). 5.99/3.30 thf(155,plain,((! [A:$i,B:$i]: ((greater @ A @ B) => (geq @ A @ (vplus @ B @ v1))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 5.99/3.30 thf(51,axiom,((! [A:$i,B:$i]: (~ (? [C:$i]: (B = (vplus @ A @ C))) | ~ (? [C:$i]: ((vplus @ B @ C) = A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)')). 5.99/3.30 thf(223,plain,((! [A:$i,B:$i]: (~ (? [C:$i]: (B = (vplus @ A @ C))) | ~ (? [C:$i]: ((vplus @ B @ C) = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 5.99/3.30 thf(27,axiom,((! [A:$i,B:$i]: (~ (? [C:$i]: (A = (vplus @ B @ C))) | (A != B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)')). 5.99/3.30 thf(145,plain,((! [A:$i,B:$i]: (~ (? [C:$i]: (A = (vplus @ B @ C))) | ~ (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 5.99/3.30 thf(22,axiom,((! [A:$i,B:$i]: (greater @ (vplus @ A @ B) @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)')). 5.99/3.30 thf(127,plain,((! [A:$i,B:$i]: (greater @ (vplus @ A @ B) @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 5.99/3.30 thf(10,axiom,((! [A:$i,B:$i,C:$i]: ((((leq @ B @ C) & (less @ A @ B)) | ((leq @ A @ B) & (less @ B @ C))) => (less @ A @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)')). 5.99/3.30 thf(87,plain,((! [A:$i,B:$i,C:$i]: ((((leq @ B @ C) & (less @ A @ B)) | ((leq @ A @ B) & (less @ B @ C))) => (less @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 5.99/3.30 thf(18,axiom,((! [A:$i]: ((vsucc @ A) != A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)')). 5.99/3.30 thf(114,plain,((! [A:$i]: ~ ((vsucc @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 5.99/3.30 thf(36,axiom,(((vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ v1)) = (vplus @ (vmul @ vd436 @ vd437) @ vd436))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(284, 438, 2)')). 5.99/3.30 thf(171,plain,(((vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ v1)) = (vplus @ (vmul @ vd436 @ vd437) @ vd436))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 5.99/3.30 thf(25,axiom,((! [A:$i]: ((vmul @ v1 @ A) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(253, 0), 0)')). 5.99/3.30 thf(139,plain,((! [A:$i]: ((vmul @ v1 @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 5.99/3.30 thf(1,conjecture,(((vplus @ (vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ vd439)) @ vd436) = (vplus @ (vmul @ vd436 @ vd437) @ (vplus @ (vmul @ vd436 @ vd439) @ vd436)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 3)')). 5.99/3.30 thf(2,negated_conjecture,((~ ((vplus @ (vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ vd439)) @ vd436) = (vplus @ (vmul @ vd436 @ vd437) @ (vplus @ (vmul @ vd436 @ vd439) @ vd436))))),inference(neg_conjecture,[status(cth)],[1])). 5.99/3.30 thf(58,plain,((~ ((vplus @ (vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ vd439)) @ vd436) = (vplus @ (vmul @ vd436 @ vd437) @ (vplus @ (vmul @ vd436 @ vd439) @ vd436))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 5.99/3.30 thf(54,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)))')). 5.99/3.30 thf(235,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)],[54])). 5.99/3.30 thf(41,axiom,(((vmul @ vd436 @ (vplus @ vd437 @ v1)) = (vmul @ vd436 @ (vsucc @ vd437)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(284, 438, 0)')). 5.99/3.30 thf(183,plain,(((vmul @ vd436 @ (vplus @ vd437 @ v1)) = (vmul @ vd436 @ (vsucc @ vd437)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 5.99/3.30 thf(47,axiom,((! [A:$i,B:$i]: (? [C:$i]: (A = (vplus @ B @ C)) | ? [C:$i]: (B = (vplus @ A @ C)) | (B = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)')). 5.99/3.30 thf(210,plain,((! [A:$i,B:$i]: (? [C:$i]: (A = (vplus @ B @ C)) | ? [C:$i]: (B = (vplus @ A @ C)) | (B = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 5.99/3.30 thf(55,axiom,((! [A:$i,B:$i]: ((vplus @ B @ A) = (vplus @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)')). 5.99/3.30 thf(242,plain,((! [A:$i,B:$i]: ((vplus @ B @ A) = (vplus @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 5.99/3.30 thf(44,axiom,((! [A:$i,B:$i]: ((greater @ B @ A) <=> (? [C:$i]: (B = (vplus @ A @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)')). 5.99/3.30 thf(195,plain,((! [A:$i,B:$i]: (((greater @ B @ A) => (? [C:$i]: (B = (vplus @ A @ C)))) & ((? [C:$i]: (B = (vplus @ A @ C))) => (greater @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 5.99/3.30 thf(13,axiom,((! [A:$i,B:$i]: ((geq @ B @ A) <= (leq @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(163, 0), 0)')). 5.99/3.30 thf(94,plain,((! [A:$i,B:$i]: ((geq @ B @ A) | ~ (leq @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 5.99/3.30 thf(39,axiom,(((vplus @ (vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ vd439)) @ vd436) = (vplus @ (vmul @ vd436 @ (vplus @ vd437 @ vd439)) @ vd436))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 2)')). 5.99/3.30 thf(178,plain,(((vplus @ (vplus @ (vmul @ vd436 @ vd437) @ (vmul @ vd436 @ vd439)) @ vd436) = (vplus @ (vmul @ vd436 @ (vplus @ vd437 @ vd439)) @ vd436))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 5.99/3.30 thf(11,axiom,((! [A:$i,B:$i,C:$i]: (((leq @ A @ B) & (leq @ B @ C)) => (leq @ A @ C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(184, 0), 0)')). 5.99/3.30 thf(90,plain,((! [A:$i,B:$i,C:$i]: (((leq @ A @ B) & (leq @ B @ C)) => (leq @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 5.99/3.30 thf(52,axiom,((! [A:$i,B:$i,C:$i]: ((B = A) => ((vplus @ A @ C) = (vplus @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 1)')). 5.99/3.30 thf(227,plain,((! [A:$i,B:$i,C:$i]: ((B = A) => ((vplus @ A @ C) = (vplus @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 5.99/3.30 thf(53,axiom,((! [A:$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(202), 0), 0)')). 5.99/3.30 thf(232,plain,((! [A:$i,B:$i,C:$i]: ((less @ (vplus @ A @ C) @ (vplus @ B @ C)) => (less @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 5.99/3.30 thf(15,axiom,((! [A:$i,B:$i,C:$i]: ((less @ A @ C) <= ((less @ B @ C) & (less @ A @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)')). 5.99/3.30 thf(100,plain,((! [A:$i,B:$i,C:$i]: ((less @ A @ C) | ~ ((less @ B @ C) & (less @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 5.99/3.30 thf(250,plain,($false),inference(iprover,[status(thm)],[69,120,202,142,185,157,152,216,164,221,206,248,60,85,102,137,92,188,169,124,77,96,173,129,73,105,161,180,149,176,118,71,159,81,245,213,155,223,145,127,87,114,171,139,58,235,183,210,242,195,94,178,90,227,232,100])). 5.99/3.30 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 5.99/3.30 % [INFO] Killing All external provers ... 6.24/3.50 EOF