0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : do_CVC4 %s %d 0.14/0.34 % Computer : n025.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Thu Jul 2 06:58:03 EDT 2020 0.14/0.34 % CPUTime : 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF 0.20/0.48 ------- cvc4-fof casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.20/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.37/0.56 % SZS status Theorem for theBenchmark 0.37/0.56 % SZS output start Proof for theBenchmark 0.37/0.56 (skolem (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_0 (= pv5 F))) (or (not (leq n0 F)) (not (leq E n2)) (not (leq F pv5)) (not (leq n0 E)) (and (= n2 E) _let_0) (and _let_0 (= n1 E)) (and _let_0 (= n0 E)) (= use (a_select3 z_defuse E F)))) ) 0.37/0.56 ( skv_1 skv_2 ) 0.37/0.56 ) 0.37/0.56 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (leq X Y) (gt (succ Y) X)) ) 0.37/0.56 ( n1, (succ n0) ) 0.37/0.56 ( n1, (succ (succ n0)) ) 0.37/0.56 ( n1, (succ (succ (succ n0))) ) 0.37/0.56 ( n1, (succ (succ (succ (succ n0)))) ) 0.37/0.56 ( n4, (succ (succ (succ (succ n0)))) ) 0.37/0.56 ( n0, n0 ) 0.37/0.56 ( n0, (succ n0) ) 0.37/0.56 ( n0, (succ (succ n0)) ) 0.37/0.56 ( n0, (succ (succ (succ n0))) ) 0.37/0.56 ( n0, (succ (succ (succ (succ n0)))) ) 0.37/0.56 ( n0, pv5 ) 0.37/0.56 ( n0, skv_1 ) 0.37/0.56 ( n0, skv_2 ) 0.37/0.56 ( n3, (succ (succ (succ n0))) ) 0.37/0.56 ( n3, (succ (succ (succ (succ n0)))) ) 0.37/0.56 ( n2, (succ (succ n0)) ) 0.37/0.56 ( n2, (succ (succ (succ n0))) ) 0.37/0.56 ( n2, (succ (succ (succ (succ n0)))) ) 0.37/0.56 ( tptp_minus_1, n0 ) 0.37/0.56 ( tptp_minus_1, tptp_minus_1 ) 0.37/0.56 ( tptp_minus_1, (succ n0) ) 0.37/0.56 ( tptp_minus_1, (succ (succ n0)) ) 0.37/0.56 ( tptp_minus_1, (succ (succ (succ n0))) ) 0.37/0.56 ( tptp_minus_1, (succ (succ (succ (succ n0)))) ) 0.37/0.56 ( pv5, n0 ) 0.37/0.56 ( pv5, n998 ) 0.37/0.56 ( skv_1, n2 ) 0.37/0.56 ( skv_2, pv5 ) 0.37/0.56 ) 0.37/0.56 (instantiation (forall ((X $$unsorted)) (= X (pred (succ X))) ) 0.37/0.56 ( n0 ) 0.37/0.56 ( tptp_minus_1 ) 0.37/0.56 ( (succ n0) ) 0.37/0.56 ( (succ (succ n0)) ) 0.37/0.56 ( (succ (succ (succ n0))) ) 0.37/0.56 ( (succ (succ (succ (succ n0)))) ) 0.37/0.56 ) 0.37/0.56 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (geq X Y) (leq Y X)) ) 0.37/0.56 ( n0, pv5 ) 0.37/0.56 ( n2, skv_1 ) 0.37/0.56 ( n998, pv5 ) 0.37/0.56 ( pv5, n0 ) 0.37/0.56 ( pv5, skv_2 ) 0.37/0.56 ( skv_1, n0 ) 0.37/0.56 ( skv_2, n0 ) 0.37/0.56 ) 0.37/0.56 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (gt Y X) (leq X (pred Y))) ) 0.37/0.56 ( n5, n998 ) 0.37/0.56 ( n1, n5 ) 0.37/0.56 ( n1, n4 ) 0.37/0.56 ( n1, n3 ) 0.37/0.56 ( n1, n2 ) 0.37/0.56 ( n1, n998 ) 0.37/0.56 ( n4, n5 ) 0.37/0.56 ( n4, n998 ) 0.37/0.56 ( n0, n5 ) 0.37/0.56 ( n0, n1 ) 0.37/0.56 ( n0, n4 ) 0.37/0.56 ( n0, n3 ) 0.37/0.56 ( n0, n2 ) 0.37/0.56 ( n0, n998 ) 0.37/0.56 ( n3, n5 ) 0.37/0.56 ( n3, n4 ) 0.37/0.56 ( n3, n998 ) 0.37/0.56 ( n2, n5 ) 0.37/0.56 ( n2, n4 ) 0.37/0.56 ( n2, n3 ) 0.37/0.56 ( n2, n998 ) 0.37/0.56 ( tptp_minus_1, n5 ) 0.37/0.56 ( tptp_minus_1, n1 ) 0.37/0.56 ( tptp_minus_1, n4 ) 0.37/0.56 ( tptp_minus_1, n0 ) 0.37/0.57 ( tptp_minus_1, n3 ) 0.37/0.57 ( tptp_minus_1, n2 ) 0.37/0.57 ( tptp_minus_1, n998 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (lt X Y) (gt Y X)) ) 0.37/0.57 ( n5, n998 ) 0.37/0.57 ( n1, n5 ) 0.37/0.57 ( n1, n4 ) 0.37/0.57 ( n1, n3 ) 0.37/0.57 ( n1, n2 ) 0.37/0.57 ( n1, n998 ) 0.37/0.57 ( n4, n5 ) 0.37/0.57 ( n4, n998 ) 0.37/0.57 ( n0, n5 ) 0.37/0.57 ( n0, n1 ) 0.37/0.57 ( n0, n4 ) 0.37/0.57 ( n0, n3 ) 0.37/0.57 ( n0, n2 ) 0.37/0.57 ( n0, n998 ) 0.37/0.57 ( n3, n5 ) 0.37/0.57 ( n3, n4 ) 0.37/0.57 ( n3, n998 ) 0.37/0.57 ( n2, n5 ) 0.37/0.57 ( n2, n4 ) 0.37/0.57 ( n2, n3 ) 0.37/0.57 ( n2, n998 ) 0.37/0.57 ( tptp_minus_1, n5 ) 0.37/0.57 ( tptp_minus_1, n1 ) 0.37/0.57 ( tptp_minus_1, n4 ) 0.37/0.57 ( tptp_minus_1, n0 ) 0.37/0.57 ( tptp_minus_1, n3 ) 0.37/0.57 ( tptp_minus_1, n2 ) 0.37/0.57 ( tptp_minus_1, n998 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (gt (succ X) X) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ( (succ (succ n0)) ) 0.37/0.57 ( (succ (succ (succ n0))) ) 0.37/0.57 ( (succ (succ (succ (succ n0)))) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq X Y)) (= X Y) (gt Y X)) ) 0.37/0.57 ( n0, pv5 ) 0.37/0.57 ( n0, skv_1 ) 0.37/0.57 ( n0, skv_2 ) 0.37/0.57 ( pv5, n0 ) 0.37/0.57 ( pv5, n998 ) 0.37/0.57 ( skv_1, n2 ) 0.37/0.57 ( skv_2, pv5 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (plus X n5) (succ (succ (succ (succ (succ X)))))) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (plus X n4) (succ (succ (succ (succ X))))) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (gt Y Z)) (not (gt X Y)) (gt X Z)) ) 0.37/0.57 ( n5, n4, tptp_minus_1 ) 0.37/0.57 ( n5, n3, n0 ) 0.37/0.57 ( n4, n1, tptp_minus_1 ) 0.37/0.57 ( n4, n0, tptp_minus_1 ) 0.37/0.57 ( n4, n3, tptp_minus_1 ) 0.37/0.57 ( n4, n2, n0 ) 0.37/0.57 ( n3, n2, tptp_minus_1 ) 0.37/0.57 ( n2, n1, n0 ) 0.37/0.57 ( n998, n5, n4 ) 0.37/0.57 ( n998, n4, n0 ) 0.37/0.57 ( n998, n3, n1 ) 0.37/0.57 ( n998, n2, n1 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (plus n4 X) (succ (succ (succ (succ X))))) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (plus n3 X) (succ (succ (succ X)))) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ( (succ (succ n0)) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (succ X) (plus X n1)) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ( (succ (succ n0)) ) 0.37/0.57 ( (succ (succ (succ n0))) ) 0.37/0.57 ( (succ (succ (succ (succ n0)))) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (plus n1 X) (succ X)) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ( (succ (succ n0)) ) 0.37/0.57 ( (succ (succ (succ n0))) ) 0.37/0.57 ( (succ (succ (succ (succ n0)))) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (leq X Y)) (not (leq Y Z)) (leq X Z)) ) 0.37/0.57 ( n0, pv5, n0 ) 0.37/0.57 ( n0, skv_1, n2 ) 0.37/0.57 ( n0, skv_2, pv5 ) 0.37/0.57 ( pv5, n0, pv5 ) 0.37/0.57 ( skv_2, pv5, n998 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (succ (succ (succ (succ (succ X))))) (plus n5 X)) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (plus n2 X) (succ (succ X))) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ( (succ (succ n0)) ) 0.37/0.57 ( (succ (succ (succ n0))) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (plus X n3) (succ (succ (succ X)))) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ( (succ (succ n0)) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq (succ X) Y)) (gt Y X)) ) 0.37/0.57 ( tptp_minus_1, pv5 ) 0.37/0.57 ( tptp_minus_1, skv_1 ) 0.37/0.57 ( tptp_minus_1, skv_2 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (gt Y X)) (leq X Y)) ) 0.37/0.57 ( n5, n998 ) 0.37/0.57 ( n1, n5 ) 0.37/0.57 ( n1, n4 ) 0.37/0.57 ( n1, n3 ) 0.37/0.57 ( n1, n2 ) 0.37/0.57 ( n1, n998 ) 0.37/0.57 ( n4, n5 ) 0.37/0.57 ( n4, n998 ) 0.37/0.57 ( n0, n5 ) 0.37/0.57 ( n0, n1 ) 0.37/0.57 ( n0, n4 ) 0.37/0.57 ( n0, n3 ) 0.37/0.57 ( n0, n2 ) 0.37/0.57 ( n0, n998 ) 0.37/0.57 ( n3, n5 ) 0.37/0.57 ( n3, n4 ) 0.37/0.57 ( n3, n998 ) 0.37/0.57 ( n2, n5 ) 0.37/0.57 ( n2, n4 ) 0.37/0.57 ( n2, n3 ) 0.37/0.57 ( n2, n998 ) 0.37/0.57 ( tptp_minus_1, n5 ) 0.37/0.57 ( tptp_minus_1, n1 ) 0.37/0.57 ( tptp_minus_1, n4 ) 0.37/0.57 ( tptp_minus_1, n0 ) 0.37/0.57 ( tptp_minus_1, n3 ) 0.37/0.57 ( tptp_minus_1, n2 ) 0.37/0.57 ( tptp_minus_1, n998 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (= (plus X n2) (succ (succ X))) ) 0.37/0.57 ( n0 ) 0.37/0.57 ( tptp_minus_1 ) 0.37/0.57 ( (succ n0) ) 0.37/0.57 ( (succ (succ n0)) ) 0.37/0.57 ( (succ (succ (succ n0))) ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (or (not (leq X n0)) (not (leq n0 X)) (= n0 X)) ) 0.37/0.57 ( pv5 ) 0.37/0.57 ( skv_1 ) 0.37/0.57 ( skv_2 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (or (not (leq X n2)) (not (leq n0 X)) (= n0 X) (= n1 X) (= n2 X)) ) 0.37/0.57 ( pv5 ) 0.37/0.57 ( skv_1 ) 0.37/0.57 ( skv_2 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (or (not (leq X n4)) (not (leq n0 X)) (= n1 X) (= n2 X) (= n4 X) (= n3 X) (= n0 X)) ) 0.37/0.57 ( pv5 ) 0.37/0.57 ( skv_1 ) 0.37/0.57 ( skv_2 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((C $$unsorted) (D $$unsorted)) (or (not (leq n0 D)) (not (leq D (pred pv5))) (not (leq C n2)) (not (leq n0 C)) (= use (a_select3 z_defuse C D))) ) 0.37/0.57 ( skv_1, skv_2 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n3)) (= n3 X) (= n2 X) (= n1 X) (= n0 X)) ) 0.37/0.57 ( pv5 ) 0.37/0.57 ( skv_1 ) 0.37/0.57 ( skv_2 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (or (not (leq X n5)) (not (leq n0 X)) (= n2 X) (= n3 X) (= n4 X) (= n5 X) (= n1 X) (= n0 X)) ) 0.37/0.57 ( pv5 ) 0.37/0.57 ( skv_1 ) 0.37/0.57 ( skv_2 ) 0.37/0.57 ) 0.37/0.57 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n1)) (= n1 X) (= n0 X)) ) 0.37/0.57 ( pv5 ) 0.37/0.57 ( skv_1 ) 0.37/0.57 ( skv_2 ) 0.37/0.57 ) 0.37/0.57 % SZS output end Proof for theBenchmark 0.37/0.57 EOF