0.00/0.07 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : do_CVC4 %s %d 0.07/0.26 % Computer : n007.cluster.edu 0.07/0.26 % Model : x86_64 x86_64 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.26 % Memory : 8042.1875MB 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 0.07/0.26 % CPULimit : 960 0.07/0.26 % WCLimit : 120 0.07/0.26 % DateTime : Thu Jul 2 07:52:54 EDT 2020 0.07/0.26 % CPUTime : 0.11/0.40 %----Proving TF0_NAR, FOF, or CNF 0.11/0.40 ------- cvc4-fof casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.11/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.11/0.53 % SZS status Theorem for theBenchmark 0.11/0.53 % SZS output start Proof for theBenchmark 0.11/0.53 (skolem (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_0 (= pv5 F))) (or (not (leq n0 E)) (not (leq E n2)) (not (leq F pv5)) (not (leq n0 F)) (and (= n2 E) _let_0) (and _let_0 (= n1 E)) (and (= n0 E) _let_0) (= use (a_select3 z_defuse E F)))) ) 0.11/0.53 ( skv_1 skv_2 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (leq X Y) (gt (succ Y) X)) ) 0.11/0.53 ( n5, n998 ) 0.11/0.53 ( n5, (pred n998) ) 0.11/0.53 ( n1, n5 ) 0.11/0.53 ( n1, n2 ) 0.11/0.53 ( n1, n998 ) 0.11/0.53 ( n1, (succ n0) ) 0.11/0.53 ( n1, (succ (succ n0)) ) 0.11/0.53 ( n1, (succ (succ (succ n0))) ) 0.11/0.53 ( n1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n1, skv_1 ) 0.11/0.53 ( n1, (succ (succ tptp_minus_1)) ) 0.11/0.53 ( n1, (succ (succ (succ tptp_minus_1))) ) 0.11/0.53 ( n1, (succ (succ (succ (succ tptp_minus_1)))) ) 0.11/0.53 ( n1, (pred n998) ) 0.11/0.53 ( n4, n5 ) 0.11/0.53 ( n4, n998 ) 0.11/0.53 ( n4, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n4, (pred n998) ) 0.11/0.53 ( n0, n5 ) 0.11/0.53 ( n0, n0 ) 0.11/0.53 ( n0, n2 ) 0.11/0.53 ( n0, (succ tptp_minus_1) ) 0.11/0.53 ( n0, n998 ) 0.11/0.53 ( n0, (succ n0) ) 0.11/0.53 ( n0, (succ (succ n0)) ) 0.11/0.53 ( n0, (succ (succ (succ n0))) ) 0.11/0.53 ( n0, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n0, pv5 ) 0.11/0.53 ( n0, skv_1 ) 0.11/0.53 ( n0, skv_2 ) 0.11/0.53 ( n0, (succ (succ tptp_minus_1)) ) 0.11/0.53 ( n0, (succ (succ (succ tptp_minus_1))) ) 0.11/0.53 ( n0, (succ (succ (succ (succ tptp_minus_1)))) ) 0.11/0.53 ( n0, (pred n998) ) 0.11/0.53 ( n3, n5 ) 0.11/0.53 ( n3, n998 ) 0.11/0.53 ( n3, (succ (succ (succ n0))) ) 0.11/0.53 ( n3, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n3, (succ (succ (succ (succ tptp_minus_1)))) ) 0.11/0.53 ( n3, (pred n998) ) 0.11/0.53 ( n2, n5 ) 0.11/0.53 ( n2, n2 ) 0.11/0.53 ( n2, n998 ) 0.11/0.53 ( n2, (succ (succ n0)) ) 0.11/0.53 ( n2, (succ (succ (succ n0))) ) 0.11/0.53 ( n2, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n2, (succ (succ (succ tptp_minus_1))) ) 0.11/0.53 ( n2, (succ (succ (succ (succ tptp_minus_1)))) ) 0.11/0.53 ( n2, (pred n998) ) 0.11/0.53 ( tptp_minus_1, n5 ) 0.11/0.53 ( tptp_minus_1, n0 ) 0.11/0.53 ( tptp_minus_1, n2 ) 0.11/0.53 ( tptp_minus_1, tptp_minus_1 ) 0.11/0.53 ( tptp_minus_1, (succ tptp_minus_1) ) 0.11/0.53 ( tptp_minus_1, n998 ) 0.11/0.53 ( tptp_minus_1, (succ n0) ) 0.11/0.53 ( tptp_minus_1, (succ (succ n0)) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ n0))) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( tptp_minus_1, skv_1 ) 0.11/0.53 ( tptp_minus_1, (succ (succ tptp_minus_1)) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ tptp_minus_1))) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ (succ tptp_minus_1)))) ) 0.11/0.53 ( tptp_minus_1, (pred n998) ) 0.11/0.53 ( (succ n0), skv_1 ) 0.11/0.53 ( (succ (succ n0)), n2 ) 0.11/0.53 ( (succ (succ (succ n0))), (succ (succ (succ (succ tptp_minus_1)))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5, n5 ) 0.11/0.53 ( pv5, n1 ) 0.11/0.53 ( pv5, n4 ) 0.11/0.53 ( pv5, n0 ) 0.11/0.53 ( pv5, n3 ) 0.11/0.53 ( pv5, n2 ) 0.11/0.53 ( pv5, n998 ) 0.11/0.53 ( pv5, pv5 ) 0.11/0.53 ( skv_1, n0 ) 0.11/0.53 ( skv_1, n2 ) 0.11/0.53 ( skv_1, skv_1 ) 0.11/0.53 ( skv_1, (succ (succ (succ tptp_minus_1))) ) 0.11/0.53 ( skv_2, n5 ) 0.11/0.53 ( skv_2, n1 ) 0.11/0.53 ( skv_2, n4 ) 0.11/0.53 ( skv_2, n0 ) 0.11/0.53 ( skv_2, n3 ) 0.11/0.53 ( skv_2, n2 ) 0.11/0.53 ( skv_2, n998 ) 0.11/0.53 ( skv_2, pv5 ) 0.11/0.53 ( skv_2, (pred pv5) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= X (pred (succ X))) ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (leq X Y) (leq (succ X) (succ Y))) ) 0.11/0.53 ( n0, n0 ) 0.11/0.53 ( n0, tptp_minus_1 ) 0.11/0.53 ( n0, (succ n0) ) 0.11/0.53 ( n0, (succ (succ n0)) ) 0.11/0.53 ( n0, (succ (succ (succ n0))) ) 0.11/0.53 ( n0, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( tptp_minus_1, n0 ) 0.11/0.53 ( tptp_minus_1, tptp_minus_1 ) 0.11/0.53 ( tptp_minus_1, (succ n0) ) 0.11/0.53 ( tptp_minus_1, (succ (succ n0)) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ n0))) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( (succ n0), (succ n0) ) 0.11/0.53 ( (succ n0), (succ (succ n0)) ) 0.11/0.53 ( (succ n0), (succ (succ (succ n0))) ) 0.11/0.53 ( (succ n0), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( (succ (succ n0)), (succ (succ n0)) ) 0.11/0.53 ( (succ (succ n0)), (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ n0)), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( (succ (succ (succ n0))), (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ n0))), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (geq X Y) (leq Y X)) ) 0.11/0.53 ( n5, n1 ) 0.11/0.53 ( n5, n4 ) 0.11/0.53 ( n5, n0 ) 0.11/0.53 ( n5, n3 ) 0.11/0.53 ( n5, n2 ) 0.11/0.53 ( n5, tptp_minus_1 ) 0.11/0.53 ( n5, pv5 ) 0.11/0.53 ( n5, skv_2 ) 0.11/0.53 ( n1, pv5 ) 0.11/0.53 ( n1, skv_2 ) 0.11/0.53 ( n4, pv5 ) 0.11/0.53 ( n4, skv_2 ) 0.11/0.53 ( n0, n0 ) 0.11/0.53 ( n0, tptp_minus_1 ) 0.11/0.53 ( n0, pv5 ) 0.11/0.53 ( n0, skv_1 ) 0.11/0.53 ( n0, skv_2 ) 0.11/0.53 ( n3, pv5 ) 0.11/0.53 ( n3, skv_2 ) 0.11/0.53 ( n2, pv5 ) 0.11/0.53 ( n2, skv_1 ) 0.11/0.53 ( n2, skv_2 ) 0.11/0.53 ( tptp_minus_1, tptp_minus_1 ) 0.11/0.53 ( n998, n5 ) 0.11/0.53 ( n998, n1 ) 0.11/0.53 ( n998, n4 ) 0.11/0.53 ( n998, n3 ) 0.11/0.53 ( n998, n2 ) 0.11/0.53 ( n998, tptp_minus_1 ) 0.11/0.53 ( n998, pv5 ) 0.11/0.53 ( (succ n0), n1 ) 0.11/0.53 ( (succ n0), tptp_minus_1 ) 0.11/0.53 ( (succ (succ n0)), n0 ) 0.11/0.53 ( (succ (succ n0)), n2 ) 0.11/0.53 ( (succ (succ n0)), tptp_minus_1 ) 0.11/0.53 ( (succ (succ (succ n0))), n1 ) 0.11/0.53 ( (succ (succ (succ n0))), n0 ) 0.11/0.53 ( (succ (succ (succ n0))), n3 ) 0.11/0.53 ( (succ (succ (succ n0))), n2 ) 0.11/0.53 ( (succ (succ (succ n0))), tptp_minus_1 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), n1 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), n4 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), n0 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), n3 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), n2 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), tptp_minus_1 ) 0.11/0.53 ( pv5, n0 ) 0.11/0.53 ( pv5, skv_2 ) 0.11/0.53 ( (pred pv5), skv_2 ) 0.11/0.53 ( skv_1, n0 ) 0.11/0.53 ( skv_2, n0 ) 0.11/0.53 ( (pred n998), n5 ) 0.11/0.53 ( (pred n998), n1 ) 0.11/0.53 ( (pred n998), n4 ) 0.11/0.53 ( (pred n998), n0 ) 0.11/0.53 ( (pred n998), n3 ) 0.11/0.53 ( (pred n998), n2 ) 0.11/0.53 ( (pred n998), tptp_minus_1 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (gt Y X) (leq X (pred Y))) ) 0.11/0.53 ( n5, n998 ) 0.11/0.53 ( n1, n5 ) 0.11/0.53 ( n1, n4 ) 0.11/0.53 ( n1, n3 ) 0.11/0.53 ( n1, n2 ) 0.11/0.53 ( n1, n998 ) 0.11/0.53 ( n1, (succ (succ n0)) ) 0.11/0.53 ( n1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n1, (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ( n4, n5 ) 0.11/0.53 ( n4, n998 ) 0.11/0.53 ( n4, (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ( n0, n5 ) 0.11/0.53 ( n0, n1 ) 0.11/0.53 ( n0, n4 ) 0.11/0.53 ( n0, n3 ) 0.11/0.53 ( n0, n2 ) 0.11/0.53 ( n0, n998 ) 0.11/0.53 ( n0, (succ n0) ) 0.11/0.53 ( n0, (succ (succ n0)) ) 0.11/0.53 ( n0, (succ (succ (succ n0))) ) 0.11/0.53 ( n0, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n0, (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ( n0, pv5 ) 0.11/0.53 ( n0, skv_2 ) 0.11/0.53 ( n0, (succ pv5) ) 0.11/0.53 ( n0, (succ skv_2) ) 0.11/0.53 ( n3, n5 ) 0.11/0.53 ( n3, n4 ) 0.11/0.53 ( n3, n998 ) 0.11/0.53 ( n3, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n3, (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ( n2, n5 ) 0.11/0.53 ( n2, n4 ) 0.11/0.53 ( n2, n3 ) 0.11/0.53 ( n2, n998 ) 0.11/0.53 ( n2, (succ (succ (succ n0))) ) 0.11/0.53 ( n2, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n2, (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ( tptp_minus_1, n5 ) 0.11/0.53 ( tptp_minus_1, n1 ) 0.11/0.53 ( tptp_minus_1, n4 ) 0.11/0.53 ( tptp_minus_1, n0 ) 0.11/0.53 ( tptp_minus_1, n3 ) 0.11/0.53 ( tptp_minus_1, n2 ) 0.11/0.53 ( tptp_minus_1, (succ tptp_minus_1) ) 0.11/0.53 ( tptp_minus_1, n998 ) 0.11/0.53 ( tptp_minus_1, (succ n0) ) 0.11/0.53 ( tptp_minus_1, (succ (succ n0)) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ n0))) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ( tptp_minus_1, skv_2 ) 0.11/0.53 ( pv5, n998 ) 0.11/0.53 ( pv5, (succ n0) ) 0.11/0.53 ( pv5, (succ (succ n0)) ) 0.11/0.53 ( pv5, (succ (succ (succ n0))) ) 0.11/0.53 ( pv5, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5, (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ( pv5, (succ n998) ) 0.11/0.53 ( skv_1, (succ n0) ) 0.11/0.53 ( skv_1, (succ (succ (succ n0))) ) 0.11/0.53 ( skv_2, n998 ) 0.11/0.53 ( skv_2, (succ n0) ) 0.11/0.53 ( skv_2, (succ (succ n0)) ) 0.11/0.53 ( skv_2, (succ (succ (succ n0))) ) 0.11/0.53 ( skv_2, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( skv_2, (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ( skv_2, pv5 ) 0.11/0.53 ( skv_2, (succ pv5) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (lt X Y) (gt Y X)) ) 0.11/0.53 ( n5, n998 ) 0.11/0.53 ( n1, n5 ) 0.11/0.53 ( n1, n4 ) 0.11/0.53 ( n1, n3 ) 0.11/0.53 ( n1, n2 ) 0.11/0.53 ( n1, n998 ) 0.11/0.53 ( n4, n5 ) 0.11/0.53 ( n4, n998 ) 0.11/0.53 ( n0, n5 ) 0.11/0.53 ( n0, n1 ) 0.11/0.53 ( n0, n4 ) 0.11/0.53 ( n0, n3 ) 0.11/0.53 ( n0, n2 ) 0.11/0.53 ( n0, n998 ) 0.11/0.53 ( n0, pv5 ) 0.11/0.53 ( n0, skv_2 ) 0.11/0.53 ( n0, (succ pv5) ) 0.11/0.53 ( n0, (succ skv_2) ) 0.11/0.53 ( n3, n5 ) 0.11/0.53 ( n3, n4 ) 0.11/0.53 ( n3, n998 ) 0.11/0.53 ( n2, n5 ) 0.11/0.53 ( n2, n4 ) 0.11/0.53 ( n2, n3 ) 0.11/0.53 ( n2, n998 ) 0.11/0.53 ( tptp_minus_1, n5 ) 0.11/0.53 ( tptp_minus_1, n1 ) 0.11/0.53 ( tptp_minus_1, n4 ) 0.11/0.53 ( tptp_minus_1, n0 ) 0.11/0.53 ( tptp_minus_1, n3 ) 0.11/0.53 ( tptp_minus_1, n2 ) 0.11/0.53 ( tptp_minus_1, n998 ) 0.11/0.53 ( tptp_minus_1, skv_2 ) 0.11/0.53 ( pv5, n998 ) 0.11/0.53 ( pv5, (succ n998) ) 0.11/0.53 ( skv_2, pv5 ) 0.11/0.53 ( skv_2, (succ pv5) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (gt (succ X) X) ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (gt X Y) (= X Y) (gt Y X)) ) 0.11/0.53 ( n998, pv5 ) 0.11/0.53 ( pv5, n998 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq X Y)) (= X Y) (gt Y X)) ) 0.11/0.53 ( n5, n998 ) 0.11/0.53 ( n5, (pred n998) ) 0.11/0.53 ( n1, n5 ) 0.11/0.53 ( n1, n998 ) 0.11/0.53 ( n1, (succ n0) ) 0.11/0.53 ( n1, (succ (succ (succ n0))) ) 0.11/0.53 ( n1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n1, (pred n998) ) 0.11/0.53 ( n4, n5 ) 0.11/0.53 ( n4, n998 ) 0.11/0.53 ( n4, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n4, (pred n998) ) 0.11/0.53 ( n0, n5 ) 0.11/0.53 ( n0, n0 ) 0.11/0.53 ( n0, (succ (succ n0)) ) 0.11/0.53 ( n0, (succ (succ (succ n0))) ) 0.11/0.53 ( n0, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n0, pv5 ) 0.11/0.53 ( n0, skv_1 ) 0.11/0.53 ( n0, skv_2 ) 0.11/0.53 ( n0, (pred n998) ) 0.11/0.53 ( n3, n5 ) 0.11/0.53 ( n3, n998 ) 0.11/0.53 ( n3, (succ (succ (succ n0))) ) 0.11/0.53 ( n3, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n3, (pred n998) ) 0.11/0.53 ( n2, n5 ) 0.11/0.53 ( n2, n998 ) 0.11/0.53 ( n2, (succ (succ n0)) ) 0.11/0.53 ( n2, (succ (succ (succ n0))) ) 0.11/0.53 ( n2, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n2, (pred n998) ) 0.11/0.53 ( tptp_minus_1, n5 ) 0.11/0.53 ( tptp_minus_1, n0 ) 0.11/0.53 ( tptp_minus_1, tptp_minus_1 ) 0.11/0.53 ( tptp_minus_1, n998 ) 0.11/0.53 ( tptp_minus_1, (succ n0) ) 0.11/0.53 ( tptp_minus_1, (succ (succ n0)) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ n0))) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( tptp_minus_1, (pred n998) ) 0.11/0.53 ( pv5, n998 ) 0.11/0.53 ( skv_1, n2 ) 0.11/0.53 ( skv_2, pv5 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (plus X n5) (succ (succ (succ (succ (succ X)))))) ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ tptp_minus_1) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (pred X) (minus X n1)) ) 0.11/0.53 ( (succ tptp_minus_1) ) 0.11/0.53 ( n998 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (plus X n4) (succ (succ (succ (succ X))))) ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ tptp_minus_1) ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( skv_1 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (gt Y Z)) (not (gt X Y)) (gt X Z)) ) 0.11/0.53 ( n5, n1, n0 ) 0.11/0.53 ( n5, n1, tptp_minus_1 ) 0.11/0.53 ( n5, n4, n0 ) 0.11/0.53 ( n5, n4, n3 ) 0.11/0.53 ( n5, n3, n2 ) 0.11/0.53 ( n5, n3, tptp_minus_1 ) 0.11/0.53 ( n5, n2, n0 ) 0.11/0.53 ( n5, (succ skv_1), n0 ) 0.11/0.53 ( n4, n0, tptp_minus_1 ) 0.11/0.53 ( n4, n3, n2 ) 0.11/0.53 ( n4, n3, tptp_minus_1 ) 0.11/0.53 ( n4, n2, n0 ) 0.11/0.53 ( n4, (succ n0), n0 ) 0.11/0.53 ( n3, n2, n1 ) 0.11/0.53 ( n3, n2, tptp_minus_1 ) 0.11/0.53 ( n3, skv_1, n0 ) 0.11/0.53 ( n2, n1, n0 ) 0.11/0.53 ( n2, n1, tptp_minus_1 ) 0.11/0.53 ( n998, n5, n4 ) 0.11/0.53 ( n998, n5, n3 ) 0.11/0.53 ( n998, n4, n0 ) 0.11/0.53 ( n998, n4, n3 ) 0.11/0.53 ( n998, n0, tptp_minus_1 ) 0.11/0.53 ( n998, n3, n1 ) 0.11/0.53 ( n998, n3, n0 ) 0.11/0.53 ( n998, n2, n1 ) 0.11/0.53 ( n998, n2, tptp_minus_1 ) 0.11/0.53 ( n998, (succ tptp_minus_1), tptp_minus_1 ) 0.11/0.53 ( n998, (succ n0), tptp_minus_1 ) 0.11/0.53 ( (succ (succ (succ n0))), n2, skv_1 ) 0.11/0.53 ( (succ (succ (succ n0))), (succ (succ n0)), tptp_minus_1 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), (succ (succ n0)), n0 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), (succ (succ (succ n0))), n2 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), (succ n2), skv_1 ) 0.11/0.53 ( (succ (succ (succ (succ (succ n0))))), n4, n1 ) 0.11/0.53 ( (succ (succ (succ (succ (succ n0))))), n4, tptp_minus_1 ) 0.11/0.53 ( (succ (succ (succ (succ (succ n0))))), n3, n0 ) 0.11/0.53 ( (succ (succ (succ (succ (succ n0))))), (succ (succ n0)), n1 ) 0.11/0.53 ( pv5, skv_2, tptp_minus_1 ) 0.11/0.53 ( (succ pv5), skv_2, n0 ) 0.11/0.53 ( (succ n998), n998, n0 ) 0.11/0.53 ( (succ n2), skv_1, tptp_minus_1 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (plus n4 X) (succ (succ (succ (succ X))))) ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (plus n3 X) (succ (succ (succ X)))) ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (succ X) (plus X n1)) ) 0.11/0.53 ( n4 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( n3 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (plus n1 X) (succ X)) ) 0.11/0.53 ( n1 ) 0.11/0.53 ( n4 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (leq X Y)) (not (leq Y Z)) (leq X Z)) ) 0.11/0.53 ( n1, n5, n998 ) 0.11/0.53 ( n1, (succ n0), (succ n0) ) 0.11/0.53 ( n1, (succ (succ (succ n0))), n998 ) 0.11/0.53 ( n1, (succ (succ (succ (succ n0)))), n998 ) 0.11/0.53 ( n4, n5, (pred n998) ) 0.11/0.53 ( n4, (succ (succ (succ (succ n0)))), n5 ) 0.11/0.53 ( n0, n0, skv_1 ) 0.11/0.53 ( n0, (succ (succ n0)), n5 ) 0.11/0.53 ( n0, (succ (succ (succ n0))), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n0, pv5, n998 ) 0.11/0.53 ( n0, skv_1, n2 ) 0.11/0.53 ( n0, skv_1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n0, skv_2, pv5 ) 0.11/0.53 ( n3, (succ (succ (succ n0))), (succ (succ (succ n0))) ) 0.11/0.53 ( n3, (succ (succ (succ (succ n0)))), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n2, (succ (succ n0)), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n2, (succ (succ (succ n0))), (pred n998) ) 0.11/0.53 ( tptp_minus_1, n0, pv5 ) 0.11/0.53 ( tptp_minus_1, tptp_minus_1, (succ n0) ) 0.11/0.53 ( tptp_minus_1, (succ n0), n2 ) 0.11/0.53 ( tptp_minus_1, (succ (succ n0)), (succ (succ (succ n0))) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ n0))), n5 ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ (succ n0)))), (pred n998) ) 0.11/0.53 ( pv5, n998, n998 ) 0.11/0.53 ( skv_1, n2, (succ (succ n0)) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (succ (succ (succ (succ (succ X))))) (plus n5 X)) ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (plus n2 X) (succ (succ X))) ) 0.11/0.53 ( n1 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (plus X n3) (succ (succ (succ X)))) ) 0.11/0.53 ( n1 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( n2 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq (succ X) Y)) (gt Y X)) ) 0.11/0.53 ( n0, n5 ) 0.11/0.53 ( n0, n2 ) 0.11/0.53 ( n0, n998 ) 0.11/0.53 ( n0, (succ n0) ) 0.11/0.53 ( n0, (succ (succ (succ n0))) ) 0.11/0.53 ( n0, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( n0, (pred n998) ) 0.11/0.53 ( tptp_minus_1, n5 ) 0.11/0.53 ( tptp_minus_1, n0 ) 0.11/0.53 ( tptp_minus_1, (succ (succ n0)) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ n0))) ) 0.11/0.53 ( tptp_minus_1, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( tptp_minus_1, pv5 ) 0.11/0.53 ( tptp_minus_1, skv_1 ) 0.11/0.53 ( tptp_minus_1, skv_2 ) 0.11/0.53 ( tptp_minus_1, (pred n998) ) 0.11/0.53 ( (succ n0), n5 ) 0.11/0.53 ( (succ n0), n998 ) 0.11/0.53 ( (succ n0), (succ (succ n0)) ) 0.11/0.53 ( (succ n0), (succ (succ (succ n0))) ) 0.11/0.53 ( (succ n0), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( (succ n0), (pred n998) ) 0.11/0.53 ( (succ (succ n0)), n5 ) 0.11/0.53 ( (succ (succ n0)), n998 ) 0.11/0.53 ( (succ (succ n0)), (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ n0)), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( (succ (succ n0)), (pred n998) ) 0.11/0.53 ( (succ (succ (succ n0))), n5 ) 0.11/0.53 ( (succ (succ (succ n0))), n998 ) 0.11/0.53 ( (succ (succ (succ n0))), (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( (succ (succ (succ n0))), (pred n998) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), n998 ) 0.11/0.53 ( (succ (succ (succ (succ n0)))), (pred n998) ) 0.11/0.53 ( pv5, n998 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (gt Y X)) (leq X Y)) ) 0.11/0.53 ( n5, n998 ) 0.11/0.53 ( n1, n5 ) 0.11/0.53 ( n1, n4 ) 0.11/0.53 ( n1, n3 ) 0.11/0.53 ( n1, n2 ) 0.11/0.53 ( n1, n998 ) 0.11/0.53 ( n4, n5 ) 0.11/0.53 ( n4, n998 ) 0.11/0.53 ( n0, n5 ) 0.11/0.53 ( n0, n1 ) 0.11/0.53 ( n0, n4 ) 0.11/0.53 ( n0, n3 ) 0.11/0.53 ( n0, n2 ) 0.11/0.53 ( n0, n998 ) 0.11/0.53 ( n0, pv5 ) 0.11/0.53 ( n0, skv_2 ) 0.11/0.53 ( n0, (succ pv5) ) 0.11/0.53 ( n0, (succ skv_2) ) 0.11/0.53 ( n3, n5 ) 0.11/0.53 ( n3, n4 ) 0.11/0.53 ( n3, n998 ) 0.11/0.53 ( n2, n5 ) 0.11/0.53 ( n2, n4 ) 0.11/0.53 ( n2, n3 ) 0.11/0.53 ( n2, n998 ) 0.11/0.53 ( tptp_minus_1, n5 ) 0.11/0.53 ( tptp_minus_1, n1 ) 0.11/0.53 ( tptp_minus_1, n4 ) 0.11/0.53 ( tptp_minus_1, n0 ) 0.11/0.53 ( tptp_minus_1, n3 ) 0.11/0.53 ( tptp_minus_1, n2 ) 0.11/0.53 ( tptp_minus_1, n998 ) 0.11/0.53 ( tptp_minus_1, skv_2 ) 0.11/0.53 ( pv5, n5 ) 0.11/0.53 ( pv5, n1 ) 0.11/0.53 ( pv5, n4 ) 0.11/0.53 ( pv5, n0 ) 0.11/0.53 ( pv5, n3 ) 0.11/0.53 ( pv5, n2 ) 0.11/0.53 ( pv5, (succ n998) ) 0.11/0.53 ( skv_1, n0 ) 0.11/0.53 ( skv_2, n5 ) 0.11/0.53 ( skv_2, n1 ) 0.11/0.53 ( skv_2, n4 ) 0.11/0.53 ( skv_2, n0 ) 0.11/0.53 ( skv_2, n3 ) 0.11/0.53 ( skv_2, n2 ) 0.11/0.53 ( skv_2, pv5 ) 0.11/0.53 ( skv_2, (pred pv5) ) 0.11/0.53 ( skv_2, (succ pv5) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= X (succ (pred X))) ) 0.11/0.53 ( (succ tptp_minus_1) ) 0.11/0.53 ( n998 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( (succ (succ (succ (succ (succ n0))))) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (= (plus X n2) (succ (succ X))) ) 0.11/0.53 ( n1 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( n3 ) 0.11/0.53 ( n2 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ n0) ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq X Y)) (leq X (succ Y))) ) 0.11/0.53 ( pv5, n0 ) 0.11/0.53 ( pv5, tptp_minus_1 ) 0.11/0.53 ( pv5, (succ n0) ) 0.11/0.53 ( pv5, (succ (succ n0)) ) 0.11/0.53 ( pv5, (succ (succ (succ n0))) ) 0.11/0.53 ( pv5, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( skv_1, tptp_minus_1 ) 0.11/0.53 ( skv_2, n0 ) 0.11/0.53 ( skv_2, tptp_minus_1 ) 0.11/0.53 ( skv_2, (succ n0) ) 0.11/0.53 ( skv_2, (succ (succ n0)) ) 0.11/0.53 ( skv_2, (succ (succ (succ n0))) ) 0.11/0.53 ( skv_2, (succ (succ (succ (succ n0)))) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n1)) (= n0 X) (= n1 X)) ) 0.11/0.53 ( n5 ) 0.11/0.53 ( n1 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_1 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ( (pred n998) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (or (not (leq X n3)) (not (leq n0 X)) (= n1 X) (= n3 X) (= n2 X) (= n0 X)) ) 0.11/0.53 ( n5 ) 0.11/0.53 ( n1 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( n3 ) 0.11/0.53 ( n2 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_1 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ( (pred n998) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (or (not (leq X n4)) (not (leq n0 X)) (= n0 X) (= n1 X) (= n2 X) (= n4 X) (= n3 X)) ) 0.11/0.53 ( n5 ) 0.11/0.53 ( n1 ) 0.11/0.53 ( n4 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( n3 ) 0.11/0.53 ( n2 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_1 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ( (pred n998) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((C $$unsorted) (D $$unsorted)) (or (not (leq C n2)) (not (leq D (pred pv5))) (not (leq n0 D)) (not (leq n0 C)) (= use (a_select3 z_defuse C D))) ) 0.11/0.53 ( skv_1, skv_2 ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (or (not (leq X n2)) (not (leq n0 X)) (= n1 X) (= n2 X) (= n0 X)) ) 0.11/0.53 ( n5 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( n2 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_1 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ( (pred n998) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (or (not (leq X n5)) (not (leq n0 X)) (= n1 X) (= n2 X) (= n5 X) (= n4 X) (= n3 X) (= n0 X)) ) 0.11/0.53 ( n5 ) 0.11/0.53 ( n1 ) 0.11/0.53 ( n4 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( n3 ) 0.11/0.53 ( n2 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_1 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ( (pred n998) ) 0.11/0.53 ) 0.11/0.53 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n0)) (= n0 X)) ) 0.11/0.53 ( n5 ) 0.11/0.53 ( n0 ) 0.11/0.53 ( tptp_minus_1 ) 0.11/0.53 ( (succ (succ n0)) ) 0.11/0.53 ( (succ (succ (succ n0))) ) 0.11/0.53 ( (succ (succ (succ (succ n0)))) ) 0.11/0.53 ( pv5 ) 0.11/0.53 ( skv_1 ) 0.11/0.53 ( skv_2 ) 0.11/0.53 ( (pred n998) ) 0.11/0.53 ) 0.11/0.53 % SZS output end Proof for theBenchmark 0.11/0.53 EOF