0.04/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.15 % Command : do_CVC4 %s 0.14/0.37 % Computer : n006.cluster.edu 0.14/0.37 % Model : x86_64 x86_64 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.37 % Memory : 8042.1875MB 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.37 % CPULimit : 180 0.14/0.37 % DateTime : Thu Aug 29 10:15:25 EDT 2019 0.14/0.37 % CPUTime : 0.21/0.50 %----Proving TH0_NAR 0.21/0.51 ------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180... 0.21/0.51 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.38/0.57 % SZS status Theorem for theBenchmark 0.38/0.58 % SZS output start Proof for theBenchmark 0.38/0.58 (skolem (forall ((BOUND_VARIABLE_2627 |u_(-> $$unsorted $$unsorted Bool)|) (BOUND_VARIABLE_2447 $$unsorted) (BOUND_VARIABLE_2448 $$unsorted) (BOUND_VARIABLE_2449 $$unsorted) (BOUND_VARIABLE_2612 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((BOUND_VARIABLE_2687 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((BOUND_VARIABLE_2469 $$unsorted) (BOUND_VARIABLE_2470 $$unsorted) (BOUND_VARIABLE_2471 $$unsorted)) (let ((_let_0 (ho_1 BOUND_VARIABLE_2687 BOUND_VARIABLE_2469))) (or (not (ho_2 _let_0 BOUND_VARIABLE_2470)) (not (ho_2 (ho_1 BOUND_VARIABLE_2687 BOUND_VARIABLE_2470) BOUND_VARIABLE_2471)) (ho_2 _let_0 BOUND_VARIABLE_2471))) )) (not (forall ((BOUND_VARIABLE_2460 $$unsorted) (BOUND_VARIABLE_2461 $$unsorted)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_2627 BOUND_VARIABLE_2460) BOUND_VARIABLE_2461)) (ho_2 (ho_1 BOUND_VARIABLE_2687 BOUND_VARIABLE_2460) BOUND_VARIABLE_2461)) )) (ho_2 (ho_1 BOUND_VARIABLE_2687 BOUND_VARIABLE_2447) BOUND_VARIABLE_2448)) )) (not (forall ((BOUND_VARIABLE_2651 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((BOUND_VARIABLE_2496 $$unsorted) (BOUND_VARIABLE_2497 $$unsorted) (BOUND_VARIABLE_2498 $$unsorted)) (let ((_let_0 (ho_1 BOUND_VARIABLE_2651 BOUND_VARIABLE_2496))) (or (not (ho_2 _let_0 BOUND_VARIABLE_2497)) (not (ho_2 (ho_1 BOUND_VARIABLE_2651 BOUND_VARIABLE_2497) BOUND_VARIABLE_2498)) (ho_2 _let_0 BOUND_VARIABLE_2498))) )) (not (forall ((BOUND_VARIABLE_2487 $$unsorted) (BOUND_VARIABLE_2488 $$unsorted)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_2627 BOUND_VARIABLE_2487) BOUND_VARIABLE_2488)) (ho_2 (ho_1 BOUND_VARIABLE_2651 BOUND_VARIABLE_2487) BOUND_VARIABLE_2488)) )) (ho_2 (ho_1 BOUND_VARIABLE_2651 BOUND_VARIABLE_2448) BOUND_VARIABLE_2449)) )) (not (forall ((BOUND_VARIABLE_2523 $$unsorted) (BOUND_VARIABLE_2524 $$unsorted) (BOUND_VARIABLE_2525 $$unsorted)) (let ((_let_0 (ho_1 BOUND_VARIABLE_2612 BOUND_VARIABLE_2523))) (or (not (ho_2 _let_0 BOUND_VARIABLE_2524)) (not (ho_2 (ho_1 BOUND_VARIABLE_2612 BOUND_VARIABLE_2524) BOUND_VARIABLE_2525)) (ho_2 _let_0 BOUND_VARIABLE_2525))) )) (not (forall ((BOUND_VARIABLE_2514 $$unsorted) (BOUND_VARIABLE_2515 $$unsorted)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_2627 BOUND_VARIABLE_2514) BOUND_VARIABLE_2515)) (ho_2 (ho_1 BOUND_VARIABLE_2612 BOUND_VARIABLE_2514) BOUND_VARIABLE_2515)) )) (ho_2 (ho_1 BOUND_VARIABLE_2612 BOUND_VARIABLE_2447) BOUND_VARIABLE_2449)) ) 0.38/0.58 ( skv_3 skv_4 skv_5 skv_6 skv_7 ) 0.38/0.58 ) 0.38/0.58 (skolem (forall ((BOUND_VARIABLE_2469 $$unsorted) (BOUND_VARIABLE_2470 $$unsorted) (BOUND_VARIABLE_2471 $$unsorted)) (let ((_let_0 (ho_1 skv_3 BOUND_VARIABLE_2469))) (or (not (ho_2 _let_0 BOUND_VARIABLE_2470)) (not (ho_2 (ho_1 skv_3 BOUND_VARIABLE_2470) BOUND_VARIABLE_2471)) (ho_2 _let_0 BOUND_VARIABLE_2471))) ) 0.38/0.58 ( skv_8 skv_9 skv_10 ) 0.38/0.58 ) 0.38/0.58 (skolem (forall ((z $$unsorted)) (= (ho_1 skv_7 z) (ho_1 skv_3 z)) ) 0.38/0.58 ( skv_11 ) 0.38/0.58 ) 0.38/0.58 (skolem (forall ((z $$unsorted)) (= (ho_2 (ho_1 skv_7 skv_4) z) (ho_2 (ho_1 skv_3 skv_4) z)) ) 0.38/0.58 ( skv_12 ) 0.38/0.58 ) 0.38/0.58 (instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_1 x z) (ho_1 y z)) )) (= x y)) ) 0.38/0.58 ( skv_7, skv_3 ) 0.38/0.58 ) 0.38/0.58 (instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) ) 0.38/0.58 ( (ho_1 skv_7 skv_4), (ho_1 skv_3 skv_4) ) 0.38/0.58 ) 0.38/0.58 (instantiation (forall ((BOUND_VARIABLE_2687 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((BOUND_VARIABLE_2469 $$unsorted) (BOUND_VARIABLE_2470 $$unsorted) (BOUND_VARIABLE_2471 $$unsorted)) (let ((_let_0 (ho_1 BOUND_VARIABLE_2687 BOUND_VARIABLE_2469))) (or (not (ho_2 _let_0 BOUND_VARIABLE_2470)) (not (ho_2 (ho_1 BOUND_VARIABLE_2687 BOUND_VARIABLE_2470) BOUND_VARIABLE_2471)) (ho_2 _let_0 BOUND_VARIABLE_2471))) )) (not (forall ((BOUND_VARIABLE_2460 $$unsorted) (BOUND_VARIABLE_2461 $$unsorted)) (or (not (ho_2 (ho_1 skv_3 BOUND_VARIABLE_2460) BOUND_VARIABLE_2461)) (ho_2 (ho_1 BOUND_VARIABLE_2687 BOUND_VARIABLE_2460) BOUND_VARIABLE_2461)) )) (ho_2 (ho_1 BOUND_VARIABLE_2687 skv_4) skv_5)) ) 0.38/0.58 ( skv_3 ) 0.38/0.58 ( skv_7 ) 0.38/0.58 ) 0.38/0.58 (instantiation (forall ((BOUND_VARIABLE_2651 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((BOUND_VARIABLE_2496 $$unsorted) (BOUND_VARIABLE_2497 $$unsorted) (BOUND_VARIABLE_2498 $$unsorted)) (let ((_let_0 (ho_1 BOUND_VARIABLE_2651 BOUND_VARIABLE_2496))) (or (not (ho_2 _let_0 BOUND_VARIABLE_2497)) (not (ho_2 (ho_1 BOUND_VARIABLE_2651 BOUND_VARIABLE_2497) BOUND_VARIABLE_2498)) (ho_2 _let_0 BOUND_VARIABLE_2498))) )) (not (forall ((BOUND_VARIABLE_2487 $$unsorted) (BOUND_VARIABLE_2488 $$unsorted)) (or (not (ho_2 (ho_1 skv_3 BOUND_VARIABLE_2487) BOUND_VARIABLE_2488)) (ho_2 (ho_1 BOUND_VARIABLE_2651 BOUND_VARIABLE_2487) BOUND_VARIABLE_2488)) )) (ho_2 (ho_1 BOUND_VARIABLE_2651 skv_5) skv_6)) ) 0.38/0.58 ( skv_3 ) 0.38/0.58 ( skv_7 ) 0.38/0.58 ) 0.38/0.58 (instantiation (forall ((BOUND_VARIABLE_2523 $$unsorted) (BOUND_VARIABLE_2524 $$unsorted) (BOUND_VARIABLE_2525 $$unsorted)) (let ((_let_0 (ho_1 skv_7 BOUND_VARIABLE_2523))) (or (not (ho_2 _let_0 BOUND_VARIABLE_2524)) (not (ho_2 (ho_1 skv_7 BOUND_VARIABLE_2524) BOUND_VARIABLE_2525)) (ho_2 _let_0 BOUND_VARIABLE_2525))) ) 0.38/0.58 ( skv_4, skv_4, skv_4 ) 0.38/0.58 ( skv_4, skv_5, skv_6 ) 0.38/0.58 ) 0.38/0.58 (instantiation (forall ((BOUND_VARIABLE_2514 $$unsorted) (BOUND_VARIABLE_2515 $$unsorted)) (or (not (ho_2 (ho_1 skv_3 BOUND_VARIABLE_2514) BOUND_VARIABLE_2515)) (ho_2 (ho_1 skv_7 BOUND_VARIABLE_2514) BOUND_VARIABLE_2515)) ) 0.38/0.58 ( skv_4, skv_4 ) 0.38/0.58 ( skv_4, skv_6 ) 0.38/0.58 ( skv_4, skv_12 ) 0.38/0.58 ( skv_5, skv_6 ) 0.38/0.58 ( skv_8, skv_9 ) 0.38/0.58 ( skv_9, skv_10 ) 0.38/0.58 ) 0.38/0.58 % SZS output end Proof for theBenchmark 0.38/0.58 EOF