0.10/0.31 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.32 % Command : do_CVC4 %s %d 0.11/0.53 % Computer : n022.cluster.edu 0.11/0.53 % Model : x86_64 x86_64 0.11/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.53 % Memory : 8042.1875MB 0.11/0.53 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.53 % CPULimit : 960 0.11/0.53 % WCLimit : 120 0.11/0.53 % DateTime : Thu Jul 2 07:50:49 EDT 2020 0.11/0.53 % CPUTime : 0.17/0.65 %----Proving TF0_NAR, FOF, or CNF 0.17/0.66 ------- cvc4-fof casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.17/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.17/0.73 % SZS status Theorem for theBenchmark 0.17/0.73 % SZS output start Proof for theBenchmark 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (leq X Y) (gt (succ Y) X)) ) 0.17/0.73 ( n1, (succ n0) ) 0.17/0.73 ( n1, (succ (succ n0)) ) 0.17/0.73 ( n1, (succ (succ (succ n0))) ) 0.17/0.73 ( n1, (succ (succ (succ (succ n0)))) ) 0.17/0.73 ( n4, (succ (succ (succ (succ n0)))) ) 0.17/0.73 ( n0, n0 ) 0.17/0.73 ( n0, pv9 ) 0.17/0.73 ( n0, pv10 ) 0.17/0.73 ( n0, (succ n0) ) 0.17/0.73 ( n0, (succ (succ n0)) ) 0.17/0.73 ( n0, (succ (succ (succ n0))) ) 0.17/0.73 ( n0, (succ (succ (succ (succ n0)))) ) 0.17/0.73 ( n3, (succ (succ (succ n0))) ) 0.17/0.73 ( n3, (succ (succ (succ (succ n0)))) ) 0.17/0.73 ( n2, (succ (succ n0)) ) 0.17/0.73 ( n2, (succ (succ (succ n0))) ) 0.17/0.73 ( n2, (succ (succ (succ (succ n0)))) ) 0.17/0.73 ( tptp_minus_1, n0 ) 0.17/0.73 ( tptp_minus_1, tptp_minus_1 ) 0.17/0.73 ( tptp_minus_1, (succ n0) ) 0.17/0.73 ( tptp_minus_1, (succ (succ n0)) ) 0.17/0.73 ( tptp_minus_1, (succ (succ (succ n0))) ) 0.17/0.73 ( tptp_minus_1, (succ (succ (succ (succ n0)))) ) 0.17/0.73 ( pv9, (minus n410 n1) ) 0.17/0.73 ( pv10, (minus n330 n1) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= X (pred (succ X))) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ( (succ (succ n0)) ) 0.17/0.73 ( (succ (succ (succ n0))) ) 0.17/0.73 ( (succ (succ (succ (succ n0)))) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (geq X Y) (leq Y X)) ) 0.17/0.73 ( (minus n410 n1), pv9 ) 0.17/0.73 ( (minus n330 n1), pv10 ) 0.17/0.73 ( pv9, n0 ) 0.17/0.73 ( pv10, n0 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (gt Y X) (leq X (pred Y))) ) 0.17/0.73 ( n5, n330 ) 0.17/0.73 ( n5, n410 ) 0.17/0.73 ( n1, n5 ) 0.17/0.73 ( n1, n4 ) 0.17/0.73 ( n1, n3 ) 0.17/0.73 ( n1, n2 ) 0.17/0.73 ( n1, n330 ) 0.17/0.73 ( n1, n410 ) 0.17/0.73 ( n4, n5 ) 0.17/0.73 ( n4, n330 ) 0.17/0.73 ( n4, n410 ) 0.17/0.73 ( n0, n5 ) 0.17/0.73 ( n0, n1 ) 0.17/0.73 ( n0, n4 ) 0.17/0.73 ( n0, n3 ) 0.17/0.73 ( n0, n2 ) 0.17/0.73 ( n0, n330 ) 0.17/0.73 ( n0, n410 ) 0.17/0.73 ( n3, n5 ) 0.17/0.73 ( n3, n4 ) 0.17/0.73 ( n3, n330 ) 0.17/0.73 ( n3, n410 ) 0.17/0.73 ( n2, n5 ) 0.17/0.73 ( n2, n4 ) 0.17/0.73 ( n2, n3 ) 0.17/0.73 ( n2, n330 ) 0.17/0.73 ( n2, n410 ) 0.17/0.73 ( tptp_minus_1, n5 ) 0.17/0.73 ( tptp_minus_1, n1 ) 0.17/0.73 ( tptp_minus_1, n4 ) 0.17/0.73 ( tptp_minus_1, n0 ) 0.17/0.73 ( tptp_minus_1, n3 ) 0.17/0.73 ( tptp_minus_1, n2 ) 0.17/0.73 ( tptp_minus_1, n330 ) 0.17/0.73 ( tptp_minus_1, n410 ) 0.17/0.73 ( n330, n410 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (lt X Y) (gt Y X)) ) 0.17/0.73 ( n5, n330 ) 0.17/0.73 ( n5, n410 ) 0.17/0.73 ( n1, n5 ) 0.17/0.73 ( n1, n4 ) 0.17/0.73 ( n1, n3 ) 0.17/0.73 ( n1, n2 ) 0.17/0.73 ( n1, n330 ) 0.17/0.73 ( n1, n410 ) 0.17/0.73 ( n4, n5 ) 0.17/0.73 ( n4, n330 ) 0.17/0.73 ( n4, n410 ) 0.17/0.73 ( n0, n5 ) 0.17/0.73 ( n0, n1 ) 0.17/0.73 ( n0, n4 ) 0.17/0.73 ( n0, n3 ) 0.17/0.73 ( n0, n2 ) 0.17/0.73 ( n0, n330 ) 0.17/0.73 ( n0, n410 ) 0.17/0.73 ( n3, n5 ) 0.17/0.73 ( n3, n4 ) 0.17/0.73 ( n3, n330 ) 0.17/0.73 ( n3, n410 ) 0.17/0.73 ( n2, n5 ) 0.17/0.73 ( n2, n4 ) 0.17/0.73 ( n2, n3 ) 0.17/0.73 ( n2, n330 ) 0.17/0.73 ( n2, n410 ) 0.17/0.73 ( tptp_minus_1, n5 ) 0.17/0.73 ( tptp_minus_1, n1 ) 0.17/0.73 ( tptp_minus_1, n4 ) 0.17/0.73 ( tptp_minus_1, n0 ) 0.17/0.73 ( tptp_minus_1, n3 ) 0.17/0.73 ( tptp_minus_1, n2 ) 0.17/0.73 ( tptp_minus_1, n330 ) 0.17/0.73 ( tptp_minus_1, n410 ) 0.17/0.73 ( n330, n410 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (gt (succ X) X) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ( (succ (succ n0)) ) 0.17/0.73 ( (succ (succ (succ n0))) ) 0.17/0.73 ( (succ (succ (succ (succ n0)))) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq X Y)) (= X Y) (gt Y X)) ) 0.17/0.73 ( n0, pv9 ) 0.17/0.73 ( n0, pv10 ) 0.17/0.73 ( pv9, (minus n410 n1) ) 0.17/0.73 ( pv10, (minus n330 n1) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (plus X n5) (succ (succ (succ (succ (succ X)))))) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (pred X) (minus X n1)) ) 0.17/0.73 ( n330 ) 0.17/0.73 ( n410 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (plus X n4) (succ (succ (succ (succ X))))) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (gt Y Z)) (not (gt X Y)) (gt X Z)) ) 0.17/0.73 ( n5, n1, n0 ) 0.17/0.73 ( n5, n4, n3 ) 0.17/0.73 ( n5, n3, n2 ) 0.17/0.73 ( n5, n2, n1 ) 0.17/0.73 ( n4, n1, tptp_minus_1 ) 0.17/0.73 ( n4, n3, n0 ) 0.17/0.73 ( n4, n2, tptp_minus_1 ) 0.17/0.73 ( n3, n0, tptp_minus_1 ) 0.17/0.73 ( n330, n5, n1 ) 0.17/0.73 ( n330, n4, n2 ) 0.17/0.73 ( n330, n3, tptp_minus_1 ) 0.17/0.73 ( n330, n2, n0 ) 0.17/0.73 ( n410, n5, n2 ) 0.17/0.73 ( n410, n4, n1 ) 0.17/0.73 ( n410, n3, n1 ) 0.17/0.73 ( n410, n330, tptp_minus_1 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (plus n4 X) (succ (succ (succ (succ X))))) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (plus n3 X) (succ (succ (succ X)))) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ( (succ (succ n0)) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (succ X) (plus X n1)) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ( (succ (succ n0)) ) 0.17/0.73 ( (succ (succ (succ n0))) ) 0.17/0.73 ( (succ (succ (succ (succ n0)))) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (plus n1 X) (succ X)) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ( (succ (succ n0)) ) 0.17/0.73 ( (succ (succ (succ n0))) ) 0.17/0.73 ( (succ (succ (succ (succ n0)))) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (leq X Y)) (not (leq Y Z)) (leq X Z)) ) 0.17/0.73 ( n0, pv9, (minus n410 n1) ) 0.17/0.73 ( n0, pv10, (minus n330 n1) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (succ (succ (succ (succ (succ X))))) (plus n5 X)) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (plus n2 X) (succ (succ X))) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ( (succ (succ n0)) ) 0.17/0.73 ( (succ (succ (succ n0))) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (plus X n3) (succ (succ (succ X)))) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ( (succ (succ n0)) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq (succ X) Y)) (gt Y X)) ) 0.17/0.73 ( tptp_minus_1, pv9 ) 0.17/0.73 ( tptp_minus_1, pv10 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (gt Y X)) (leq X Y)) ) 0.17/0.73 ( n5, n330 ) 0.17/0.73 ( n5, n410 ) 0.17/0.73 ( n1, n5 ) 0.17/0.73 ( n1, n4 ) 0.17/0.73 ( n1, n3 ) 0.17/0.73 ( n1, n2 ) 0.17/0.73 ( n1, n330 ) 0.17/0.73 ( n1, n410 ) 0.17/0.73 ( n4, n5 ) 0.17/0.73 ( n4, n330 ) 0.17/0.73 ( n4, n410 ) 0.17/0.73 ( n0, n5 ) 0.17/0.73 ( n0, n1 ) 0.17/0.73 ( n0, n4 ) 0.17/0.73 ( n0, n3 ) 0.17/0.73 ( n0, n2 ) 0.17/0.73 ( n0, n330 ) 0.17/0.73 ( n0, n410 ) 0.17/0.73 ( n3, n5 ) 0.17/0.73 ( n3, n4 ) 0.17/0.73 ( n3, n330 ) 0.17/0.73 ( n3, n410 ) 0.17/0.73 ( n2, n5 ) 0.17/0.73 ( n2, n4 ) 0.17/0.73 ( n2, n3 ) 0.17/0.73 ( n2, n330 ) 0.17/0.73 ( n2, n410 ) 0.17/0.73 ( tptp_minus_1, n5 ) 0.17/0.73 ( tptp_minus_1, n1 ) 0.17/0.73 ( tptp_minus_1, n4 ) 0.17/0.73 ( tptp_minus_1, n0 ) 0.17/0.73 ( tptp_minus_1, n3 ) 0.17/0.73 ( tptp_minus_1, n2 ) 0.17/0.73 ( tptp_minus_1, n330 ) 0.17/0.73 ( tptp_minus_1, n410 ) 0.17/0.73 ( n330, n410 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((I $$unsorted) (L1 $$unsorted) (U1 $$unsorted) (J $$unsorted) (L2 $$unsorted) (U2 $$unsorted) (Val $$unsorted)) (or (not (leq L2 J)) (not (leq J U2)) (not (leq I U1)) (not (leq L1 I)) (= Val (a_select3 (tptp_const_array2 (dim L1 U1) (dim L2 U2) Val) I J))) ) 0.17/0.73 ( pv9, n0, (minus n410 n1), pv10, n0, (minus n330 n1), init ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (= (plus X n2) (succ (succ X))) ) 0.17/0.73 ( n0 ) 0.17/0.73 ( tptp_minus_1 ) 0.17/0.73 ( (succ n0) ) 0.17/0.73 ( (succ (succ n0)) ) 0.17/0.73 ( (succ (succ (succ n0))) ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq (minus X Y) X)) (leq n0 Y)) ) 0.17/0.73 ( n330, n1 ) 0.17/0.73 ( n410, n1 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (or (not (leq X n0)) (not (leq n0 X)) (= n0 X)) ) 0.17/0.73 ( pv9 ) 0.17/0.73 ( pv10 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((C $$unsorted)) (or (not (leq C n3)) (not (leq n0 C)) (= init (a_select2 s_values7_init C))) ) 0.17/0.73 ( pv9 ) 0.17/0.73 ( pv10 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n5)) (= n0 X) (= n1 X) (= n2 X) (= n5 X) (= n4 X) (= n3 X)) ) 0.17/0.73 ( pv9 ) 0.17/0.73 ( pv10 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (or (not (leq X n1)) (not (leq n0 X)) (= n0 X) (= n1 X)) ) 0.17/0.73 ( pv9 ) 0.17/0.73 ( pv10 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n2)) (= n1 X) (= n2 X) (= n0 X)) ) 0.17/0.73 ( pv9 ) 0.17/0.73 ( pv10 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (or (not (leq X n4)) (not (leq n0 X)) (= n2 X) (= n4 X) (= n3 X) (= n1 X) (= n0 X)) ) 0.17/0.73 ( pv9 ) 0.17/0.73 ( pv10 ) 0.17/0.73 ) 0.17/0.73 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n3)) (= n0 X) (= n1 X) (= n3 X) (= n2 X)) ) 0.17/0.73 ( pv9 ) 0.17/0.73 ( pv10 ) 0.17/0.73 ) 0.17/0.73 % SZS output end Proof for theBenchmark 0.17/0.74 EOF