0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : do_CVC4 %s 0.12/0.33 % Computer : n006.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 180 0.12/0.33 % DateTime : Thu Aug 29 09:31:24 EDT 2019 0.12/0.33 % CPUTime : 0.18/0.46 %----Proving TH0_NAR 0.18/0.47 ------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180... 0.18/0.47 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.90/1.09 % SZS status Theorem for theBenchmark 0.90/1.09 % SZS output start Proof for theBenchmark 0.90/1.09 (skolem (forall ((z frac)) (= (ho_6 (ho_5 k_4 y) z) (ho_6 (ho_5 k_4 x) z)) ) 0.90/1.09 ( skv_8 ) 0.90/1.09 ) 0.90/1.09 (skolem (forall ((z frac)) (= (ho_3 (ho_2 k_1 z) z) (ho_3 (ho_2 k_7 x) z)) ) 0.90/1.09 ( skv_9 ) 0.90/1.09 ) 0.90/1.09 (skolem (forall ((z frac)) (= (ho_2 k_1 z) (ho_2 k_7 z)) ) 0.90/1.09 ( skv_10 ) 0.90/1.09 ) 0.90/1.09 (instantiation (forall ((Xx frac) (Xy frac) (Xz frac)) (let ((_let_0 (ho_5 k_4 Xz))) (or (not (ho_3 (ho_2 k_1 Xx) Xy)) (ho_3 (ho_2 k_1 (ho_6 _let_0 Xx)) (ho_6 _let_0 Xy)))) ) 0.90/1.09 ( x, y, x ) 0.90/1.09 ( z, u, x ) 0.90/1.09 ) 0.90/1.09 (instantiation (forall ((Xx frac) (Xy frac) (Xz frac) (Xu frac)) (or (not (ho_3 (ho_2 k_1 Xx) Xy)) (not (ho_3 (ho_2 k_7 Xx) Xz)) (not (ho_3 (ho_2 k_7 Xy) Xu)) (ho_3 (ho_2 k_1 Xz) Xu)) ) 0.90/1.09 ( x, x, y, y ) 0.90/1.09 ( x, y, x, x ) 0.90/1.09 ( x, z, y, z ) 0.90/1.09 ( x, u, y, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( x, u, skv_9, u ) 0.90/1.09 ( x, (ho_6 (ho_5 k_4 y) u), x, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( x, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( x, (ho_6 (ho_5 k_4 x) x), y, (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( x, (ho_6 (ho_5 k_4 x) y), x, x ) 0.90/1.09 ( x, skv_8, y, y ) 0.90/1.09 ( x, skv_9, (ho_6 (ho_5 k_4 x) z), x ) 0.90/1.09 ( x, skv_10, y, skv_10 ) 0.90/1.09 ( y, x, x, y ) 0.90/1.09 ( y, x, y, x ) 0.90/1.09 ( y, y, x, x ) 0.90/1.09 ( y, y, y, y ) 0.90/1.09 ( y, z, y, z ) 0.90/1.09 ( y, u, x, x ) 0.90/1.09 ( y, (ho_6 (ho_5 k_4 y) u), z, y ) 0.90/1.09 ( y, (ho_6 (ho_5 k_4 x) z), x, (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( y, (ho_6 (ho_5 k_4 x) x), x, (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( y, (ho_6 (ho_5 k_4 x) y), x, x ) 0.90/1.09 ( y, (ho_6 (ho_5 k_4 x) y), y, (ho_6 (ho_5 k_4 x) y) ) 0.90/1.09 ( y, skv_8, x, x ) 0.90/1.09 ( y, skv_9, x, x ) 0.90/1.09 ( y, skv_10, y, skv_10 ) 0.90/1.09 ( z, x, z, y ) 0.90/1.09 ( z, y, z, y ) 0.90/1.09 ( z, z, z, z ) 0.90/1.09 ( z, u, x, x ) 0.90/1.09 ( z, u, y, y ) 0.90/1.09 ( z, u, z, x ) 0.90/1.09 ( z, u, z, y ) 0.90/1.09 ( z, u, z, z ) 0.90/1.09 ( z, u, z, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( z, u, z, (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( z, u, z, (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( z, u, z, (ho_6 (ho_5 k_4 x) y) ) 0.90/1.09 ( z, u, z, skv_9 ) 0.90/1.09 ( z, u, z, skv_10 ) 0.90/1.09 ( z, u, u, u ) 0.90/1.09 ( z, u, (ho_6 (ho_5 k_4 y) u), u ) 0.90/1.09 ( z, u, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( z, u, (ho_6 (ho_5 k_4 x) x), u ) 0.90/1.09 ( z, u, (ho_6 (ho_5 k_4 x) y), u ) 0.90/1.09 ( z, u, skv_8, u ) 0.90/1.09 ( z, u, skv_9, u ) 0.90/1.09 ( z, u, skv_10, u ) 0.90/1.09 ( z, (ho_6 (ho_5 k_4 y) u), u, skv_9 ) 0.90/1.09 ( z, (ho_6 (ho_5 k_4 x) z), z, (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( z, (ho_6 (ho_5 k_4 x) x), z, x ) 0.90/1.09 ( z, (ho_6 (ho_5 k_4 x) y), z, x ) 0.90/1.09 ( z, skv_8, z, skv_9 ) 0.90/1.09 ( z, skv_10, z, skv_10 ) 0.90/1.09 ( u, x, u, skv_9 ) 0.90/1.09 ( u, x, (ho_6 (ho_5 k_4 y) u), y ) 0.90/1.09 ( u, y, x, x ) 0.90/1.09 ( u, z, (ho_6 (ho_5 k_4 y) u), z ) 0.90/1.09 ( u, u, y, y ) 0.90/1.09 ( u, (ho_6 (ho_5 k_4 y) u), u, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( u, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) x), z ) 0.90/1.09 ( u, (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) u), x ) 0.90/1.09 ( u, (ho_6 (ho_5 k_4 x) y), u, x ) 0.90/1.09 ( u, skv_9, (ho_6 (ho_5 k_4 x) z), x ) 0.90/1.09 ( u, skv_10, (ho_6 (ho_5 k_4 y) u), skv_10 ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), x, skv_9, y ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), y, y, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), z, (ho_6 (ho_5 k_4 x) x), z ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), u, x, u ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u), y, y ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z), x, (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) u), x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) y), x, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), skv_9, x, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u), skv_10, y, skv_10 ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), x, (ho_6 (ho_5 k_4 x) z), y ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), y, z, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), z, z, z ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), u, (ho_6 (ho_5 k_4 x) z), u ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z), skv_10, (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) u), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) x), z, (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) y) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), skv_9, z, skv_9 ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z), skv_10, x, (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), x, (ho_6 (ho_5 k_4 x) x), y ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), y, (ho_6 (ho_5 k_4 x) x), x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), z, (ho_6 (ho_5 k_4 x) x), z ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), u, x, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) u), y, y ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) z), x, skv_10 ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) x), x, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) y), x, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), skv_8, (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) y) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), skv_9, y, skv_9 ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) x), skv_10, (ho_6 (ho_5 k_4 x) x), skv_10 ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), x, x, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), y, x, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), y, (ho_6 (ho_5 k_4 x) y), y ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), z, x, z ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), u, (ho_6 (ho_5 k_4 x) y), u ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y), z ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) x), x, (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) y) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), skv_8, x, x ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), skv_9, z, skv_9 ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y), skv_10, x, skv_10 ) 0.90/1.09 ( skv_8, x, skv_8, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_8, y, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_8, z, x, z ) 0.90/1.09 ( skv_8, u, y, u ) 0.90/1.09 ( skv_8, (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_8, (ho_6 (ho_5 k_4 x) z), skv_8, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_8, (ho_6 (ho_5 k_4 x) x), skv_8, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_8, (ho_6 (ho_5 k_4 x) y), y, y ) 0.90/1.09 ( skv_8, skv_9, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_8, skv_10, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_9, x, x, x ) 0.90/1.09 ( skv_9, y, skv_10, y ) 0.90/1.09 ( skv_9, z, z, z ) 0.90/1.09 ( skv_9, u, z, (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( skv_9, (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_9, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( skv_9, (ho_6 (ho_5 k_4 x) x), x, x ) 0.90/1.09 ( skv_9, (ho_6 (ho_5 k_4 x) y), x, x ) 0.90/1.09 ( skv_9, skv_9, z, x ) 0.90/1.09 ( skv_9, skv_10, skv_9, skv_10 ) 0.90/1.09 ( skv_10, x, skv_10, x ) 0.90/1.09 ( skv_10, y, skv_10, x ) 0.90/1.09 ( skv_10, z, skv_10, z ) 0.90/1.09 ( skv_10, u, skv_10, (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( skv_10, (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) x), y ) 0.90/1.09 ( skv_10, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( skv_10, (ho_6 (ho_5 k_4 x) x), skv_10, (ho_6 (ho_5 k_4 x) x) ) 0.90/1.09 ( skv_10, (ho_6 (ho_5 k_4 x) y), skv_10, x ) 0.90/1.09 ( skv_10, skv_8, skv_10, x ) 0.90/1.09 ( skv_10, skv_9, z, skv_9 ) 0.90/1.09 ( skv_10, skv_10, skv_10, skv_10 ) 0.90/1.09 ) 0.90/1.09 (instantiation (forall ((Xx frac)) (ho_3 (ho_2 k_7 Xx) Xx) ) 0.90/1.09 ( x ) 0.90/1.09 ( y ) 0.90/1.09 ( z ) 0.90/1.09 ( u ) 0.90/1.09 ( (ho_6 (ho_5 k_4 y) u) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) z) ) 0.90/1.09 ( (ho_6 (ho_5 k_4 x) y) ) 0.90/1.09 ( skv_8 ) 0.90/1.09 ( skv_9 ) 0.90/1.09 ( skv_10 ) 0.90/1.09 ) 0.90/1.09 (instantiation (forall ((Xx frac) (Xy frac) (Xz frac) (Xu frac)) (or (not (ho_3 (ho_2 k_7 Xx) Xy)) (not (ho_3 (ho_2 k_7 Xz) Xu)) (ho_3 (ho_2 k_7 (ho_6 (ho_5 k_4 Xx) Xz)) (ho_6 (ho_5 k_4 Xy) Xu))) ) 0.90/1.09 ( x, x, x, x ) 0.90/1.09 ( x, x, x, y ) 0.90/1.09 ( x, x, y, z ) 0.90/1.09 ( x, x, z, z ) 0.90/1.09 ( x, y, x, u ) 0.90/1.09 ( x, y, u, u ) 0.90/1.09 ) 0.90/1.09 (instantiation (forall ((x |u_(-> frac frac)|) (y |u_(-> frac frac)|)) (or (not (forall ((z frac)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) ) 0.90/1.09 ( (ho_5 k_4 y), (ho_5 k_4 x) ) 0.90/1.09 ( (ho_5 k_4 x), (ho_5 k_4 y) ) 0.90/1.09 ) 0.90/1.09 (instantiation (forall ((x |u_(-> frac Bool)|) (y |u_(-> frac Bool)|)) (or (not (forall ((z frac)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) ) 0.90/1.09 ( (ho_2 k_1 z), (ho_2 k_7 x) ) 0.90/1.09 ( (ho_2 k_7 x), (ho_2 k_1 z) ) 0.90/1.09 ) 0.90/1.09 (instantiation (forall ((x |u_(-> frac frac Bool)|) (y |u_(-> frac frac Bool)|)) (or (not (forall ((z frac)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) ) 0.90/1.09 ( k_1, k_7 ) 0.90/1.09 ( k_7, k_1 ) 0.90/1.09 ) 0.90/1.09 % SZS output end Proof for theBenchmark 0.90/1.09 EOF