0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.24 % Computer : n138.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 04:20:25 CDT 2018 0.03/0.24 % CPUTime : 0.06/0.28 %----Proving without arithmetic mode 0.06/0.28 ------- cvc4-fof casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.06/0.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.06/0.32 % SZS status Theorem for theBenchmark 0.06/0.32 % SZS output start Proof for theBenchmark 0.06/0.32 (skolem (let ((_let_0 (minus (a_select3 center tptp_sum_index n0) (a_select2 x pv10)))) (let ((_let_1 (minus (a_select3 center C n0) (a_select2 x pv10)))) (forall ((C $$unsorted)) (or (not (leq n0 C)) (not (leq C pv12)) (= pv12 C) (= (divide (sqrt (times _let_1 _let_1)) (sum n0 n4 (sqrt (times _let_0 _let_0)))) (a_select3 q pv10 C))) ))) 0.06/0.32 ( skv_1 ) 0.06/0.32 ) 0.06/0.32 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (gt (succ Y) X) (leq X Y)) ) 0.06/0.32 ( n0, n0 ) 0.06/0.32 ( n0, (succ n0) ) 0.06/0.32 ( n0, (succ (succ n0)) ) 0.06/0.32 ( n0, (succ (succ (succ n0))) ) 0.06/0.32 ( n0, (succ (succ (succ (succ n0)))) ) 0.06/0.32 ( n0, pv10 ) 0.06/0.32 ( n0, pv12 ) 0.06/0.32 ( n0, skv_1 ) 0.06/0.32 ( n4, (succ (succ (succ (succ n0)))) ) 0.06/0.32 ( n1, (succ n0) ) 0.06/0.32 ( n1, (succ (succ n0)) ) 0.06/0.32 ( n1, (succ (succ (succ n0))) ) 0.06/0.32 ( n1, (succ (succ (succ (succ n0)))) ) 0.06/0.32 ( tptp_minus_1, n0 ) 0.06/0.32 ( tptp_minus_1, tptp_minus_1 ) 0.06/0.32 ( tptp_minus_1, (succ n0) ) 0.06/0.32 ( tptp_minus_1, (succ (succ n0)) ) 0.06/0.32 ( tptp_minus_1, (succ (succ (succ n0))) ) 0.06/0.32 ( tptp_minus_1, (succ (succ (succ (succ n0)))) ) 0.06/0.32 ( n2, (succ (succ n0)) ) 0.06/0.32 ( n2, (succ (succ (succ n0))) ) 0.06/0.32 ( n2, (succ (succ (succ (succ n0)))) ) 0.06/0.32 ( n3, (succ (succ (succ n0))) ) 0.06/0.32 ( n3, (succ (succ (succ (succ n0)))) ) 0.06/0.32 ( pv10, n135299 ) 0.06/0.32 ( pv12, n4 ) 0.06/0.32 ( skv_1, pv12 ) 0.06/0.32 ) 0.06/0.32 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (lt X Y) (gt Y X)) ) 0.06/0.32 ( n0, n4 ) 0.06/0.32 ( n0, n1 ) 0.06/0.32 ( n0, n5 ) 0.06/0.32 ( n0, n2 ) 0.06/0.32 ( n0, n3 ) 0.06/0.32 ( n0, n135299 ) 0.06/0.32 ( n4, n5 ) 0.06/0.32 ( n4, n135299 ) 0.06/0.32 ( n1, n4 ) 0.06/0.32 ( n1, n5 ) 0.06/0.32 ( n1, n2 ) 0.06/0.32 ( n1, n3 ) 0.06/0.32 ( n1, n135299 ) 0.06/0.32 ( tptp_minus_1, n0 ) 0.06/0.32 ( tptp_minus_1, n4 ) 0.06/0.32 ( tptp_minus_1, n1 ) 0.06/0.32 ( tptp_minus_1, n5 ) 0.06/0.32 ( tptp_minus_1, n2 ) 0.06/0.32 ( tptp_minus_1, n3 ) 0.06/0.32 ( tptp_minus_1, n135299 ) 0.06/0.32 ( n5, n135299 ) 0.06/0.32 ( n2, n4 ) 0.06/0.32 ( n2, n5 ) 0.06/0.32 ( n2, n3 ) 0.06/0.32 ( n2, n135299 ) 0.06/0.32 ( n3, n4 ) 0.06/0.32 ( n3, n5 ) 0.06/0.32 ( n3, n135299 ) 0.06/0.32 ) 0.06/0.32 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (geq X Y) (leq Y X)) ) 0.06/0.32 ( n4, pv12 ) 0.06/0.32 ( n135299, pv10 ) 0.06/0.32 ( pv10, n0 ) 0.06/0.32 ( pv12, n0 ) 0.06/0.32 ( pv12, skv_1 ) 0.06/0.32 ( skv_1, n0 ) 0.06/0.32 ) 0.06/0.32 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (= (gt Y X) (leq X (pred Y))) ) 0.06/0.32 ( n0, n4 ) 0.06/0.32 ( n0, n1 ) 0.06/0.32 ( n0, n5 ) 0.06/0.32 ( n0, n2 ) 0.06/0.32 ( n0, n3 ) 0.06/0.32 ( n0, n135299 ) 0.06/0.32 ( n4, n5 ) 0.06/0.32 ( n4, n135299 ) 0.06/0.32 ( n1, n4 ) 0.06/0.32 ( n1, n5 ) 0.06/0.32 ( n1, n2 ) 0.06/0.32 ( n1, n3 ) 0.06/0.32 ( n1, n135299 ) 0.06/0.32 ( tptp_minus_1, n0 ) 0.06/0.32 ( tptp_minus_1, n4 ) 0.06/0.32 ( tptp_minus_1, n1 ) 0.06/0.32 ( tptp_minus_1, n5 ) 0.06/0.32 ( tptp_minus_1, n2 ) 0.06/0.32 ( tptp_minus_1, n3 ) 0.06/0.32 ( tptp_minus_1, n135299 ) 0.06/0.32 ( n5, n135299 ) 0.06/0.32 ( n2, n4 ) 0.06/0.32 ( n2, n5 ) 0.06/0.32 ( n2, n3 ) 0.06/0.32 ( n2, n135299 ) 0.06/0.32 ( n3, n4 ) 0.06/0.32 ( n3, n5 ) 0.06/0.32 ( n3, n135299 ) 0.06/0.32 ) 0.06/0.32 (instantiation (forall ((X $$unsorted)) (gt (succ X) X) ) 0.06/0.32 ( n0 ) 0.06/0.32 ( tptp_minus_1 ) 0.06/0.32 ( (succ n0) ) 0.06/0.32 ( (succ (succ n0)) ) 0.06/0.32 ( (succ (succ (succ n0))) ) 0.06/0.32 ( (succ (succ (succ (succ n0)))) ) 0.06/0.32 ) 0.06/0.32 (instantiation (forall ((X $$unsorted)) (= (succ (succ (succ (succ X)))) (plus n4 X)) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (plus n1 X) (succ X)) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ( (succ (succ n0)) ) 0.06/0.33 ( (succ (succ (succ n0))) ) 0.06/0.33 ( (succ (succ (succ (succ n0)))) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (gt Y Z)) (not (gt X Y)) (gt X Z)) ) 0.06/0.33 ( n4, n2, n1 ) 0.06/0.33 ( n4, n3, n2 ) 0.06/0.33 ( n5, n4, n3 ) 0.06/0.33 ( n5, n1, n0 ) 0.06/0.33 ( n5, n2, tptp_minus_1 ) 0.06/0.33 ( n5, n3, n0 ) 0.06/0.33 ( n2, n0, tptp_minus_1 ) 0.06/0.33 ( n2, n1, tptp_minus_1 ) 0.06/0.33 ( n135299, n4, n1 ) 0.06/0.33 ( n135299, n5, n1 ) 0.06/0.33 ( n135299, n2, n0 ) 0.06/0.33 ( n135299, n3, n1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (gt Y X)) (leq X Y)) ) 0.06/0.33 ( n0, n4 ) 0.06/0.33 ( n0, n1 ) 0.06/0.33 ( n0, n5 ) 0.06/0.33 ( n0, n2 ) 0.06/0.33 ( n0, n3 ) 0.06/0.33 ( n0, n135299 ) 0.06/0.33 ( n4, n5 ) 0.06/0.33 ( n4, n135299 ) 0.06/0.33 ( n1, n4 ) 0.06/0.33 ( n1, n5 ) 0.06/0.33 ( n1, n2 ) 0.06/0.33 ( n1, n3 ) 0.06/0.33 ( n1, n135299 ) 0.06/0.33 ( tptp_minus_1, n0 ) 0.06/0.33 ( tptp_minus_1, n4 ) 0.06/0.33 ( tptp_minus_1, n1 ) 0.06/0.33 ( tptp_minus_1, n5 ) 0.06/0.33 ( tptp_minus_1, n2 ) 0.06/0.33 ( tptp_minus_1, n3 ) 0.06/0.33 ( tptp_minus_1, n135299 ) 0.06/0.33 ( n5, n135299 ) 0.06/0.33 ( n2, n4 ) 0.06/0.33 ( n2, n5 ) 0.06/0.33 ( n2, n3 ) 0.06/0.33 ( n2, n135299 ) 0.06/0.33 ( n3, n4 ) 0.06/0.33 ( n3, n5 ) 0.06/0.33 ( n3, n135299 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (= X Y) (not (leq X Y)) (gt Y X)) ) 0.06/0.33 ( n0, pv10 ) 0.06/0.33 ( n0, pv12 ) 0.06/0.33 ( n0, skv_1 ) 0.06/0.33 ( pv10, n135299 ) 0.06/0.33 ( pv12, n4 ) 0.06/0.33 ( skv_1, pv12 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (succ (succ (succ (succ X)))) (plus X n4)) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (succ X) (plus X n1)) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ( (succ (succ n0)) ) 0.06/0.33 ( (succ (succ (succ n0))) ) 0.06/0.33 ( (succ (succ (succ (succ n0)))) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (succ (succ (succ (succ (succ X))))) (plus X n5)) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq (minus X Y) X)) (leq n0 Y)) ) 0.06/0.33 ( (a_select3 center tptp_sum_index n0), (a_select2 x pv10) ) 0.06/0.33 ( (a_select3 center skv_1 n0), (a_select2 x pv10) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (leq Y Z)) (not (leq X Y)) (leq X Z)) ) 0.06/0.33 ( n0, pv10, n135299 ) 0.06/0.33 ( n0, pv12, n4 ) 0.06/0.33 ( n0, skv_1, pv12 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (plus X n2) (succ (succ X))) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ( (succ (succ n0)) ) 0.06/0.33 ( (succ (succ (succ n0))) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (succ (succ X)) (plus n2 X)) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ( (succ (succ n0)) ) 0.06/0.33 ( (succ (succ (succ n0))) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= X (pred (succ X))) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ( (succ (succ n0)) ) 0.06/0.33 ( (succ (succ (succ n0))) ) 0.06/0.33 ( (succ (succ (succ (succ n0)))) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (plus X n3) (succ (succ (succ X)))) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ( (succ (succ n0)) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (plus n3 X) (succ (succ (succ X)))) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ( (succ n0) ) 0.06/0.33 ( (succ (succ n0)) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (= (plus n5 X) (succ (succ (succ (succ (succ X)))))) ) 0.06/0.33 ( n0 ) 0.06/0.33 ( tptp_minus_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (not (leq (succ X) Y)) (gt Y X)) ) 0.06/0.33 ( tptp_minus_1, pv10 ) 0.06/0.33 ( tptp_minus_1, pv12 ) 0.06/0.33 ( tptp_minus_1, skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n3)) (= n2 X) (= n3 X) (= n1 X) (= n0 X)) ) 0.06/0.33 ( pv10 ) 0.06/0.33 ( pv12 ) 0.06/0.33 ( skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (or (not (leq X n2)) (not (leq n0 X)) (= n2 X) (= n1 X) (= n0 X)) ) 0.06/0.33 ( pv10 ) 0.06/0.33 ( pv12 ) 0.06/0.33 ( skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (or (not (leq X n1)) (not (leq n0 X)) (= n0 X) (= n1 X)) ) 0.06/0.33 ( pv10 ) 0.06/0.33 ( pv12 ) 0.06/0.33 ( skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (or (not (leq X n4)) (not (leq n0 X)) (= n1 X) (= n4 X) (= n3 X) (= n2 X) (= n0 X)) ) 0.06/0.33 ( pv10 ) 0.06/0.33 ( pv12 ) 0.06/0.33 ( skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n0)) (= n0 X)) ) 0.06/0.33 ( pv10 ) 0.06/0.33 ( pv12 ) 0.06/0.33 ( skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((B $$unsorted)) (or (not (leq B (pred pv10))) (not (leq n0 B)) (= n1 (sum n0 n4 (a_select3 q B tptp_sum_index)))) ) 0.06/0.33 ( pv10 ) 0.06/0.33 ( pv12 ) 0.06/0.33 ( skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (let ((_let_0 (minus (a_select3 center A n0) (a_select2 x pv10)))) (let ((_let_1 (minus (a_select3 center tptp_sum_index n0) (a_select2 x pv10)))) (forall ((A $$unsorted)) (or (not (leq A (pred pv12))) (not (leq n0 A)) (= (divide (sqrt (times _let_0 _let_0)) (sum n0 n4 (sqrt (times _let_1 _let_1)))) (a_select3 q pv10 A))) ))) 0.06/0.33 ( pv10 ) 0.06/0.33 ( pv12 ) 0.06/0.33 ( tptp_sum_index ) 0.06/0.33 ( skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted)) (or (not (leq n0 X)) (not (leq X n5)) (= n1 X) (= n2 X) (= n4 X) (= n5 X) (= n3 X) (= n0 X)) ) 0.06/0.33 ( pv10 ) 0.06/0.33 ( pv12 ) 0.06/0.33 ( skv_1 ) 0.06/0.33 ) 0.06/0.33 % SZS output end Proof for theBenchmark 0.06/0.36 EOF