0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : do_CVC4 %s 0.13/0.33 % Computer : n004.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 180 0.13/0.33 % DateTime : Thu Aug 29 13:58:08 EDT 2019 0.13/0.33 % CPUTime : 0.20/0.46 %----Proving TH0_NAR 0.20/0.46 ------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180... 0.20/0.46 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.20/0.50 % SZS status Theorem for theBenchmark 0.20/0.50 % SZS output start Proof for theBenchmark 0.20/0.50 (skolem (forall ((z Bool)) (= (ho_4 k_5 z) (ho_4 k_3 z)) ) 0.20/0.50 ( skv_8 ) 0.20/0.50 ) 0.20/0.50 (skolem (forall ((z Bool)) (= (ho_6 (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457) z) (ho_6 (ho_4 k_3 BOOLEAN_TERM_VARIABLE_457) z)) ) 0.20/0.50 ( skv_9 ) 0.20/0.50 ) 0.20/0.50 (skolem (forall ((z Bool)) (= (ho_6 (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457) z) (ho_6 (ho_4 k_3 BOOLEAN_TERM_VARIABLE_483) z)) ) 0.20/0.50 ( skv_10 ) 0.20/0.50 ) 0.20/0.50 (skolem (forall ((z Bool)) (= (ho_6 (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457) z) (ho_6 (ho_4 k_5 BOOLEAN_TERM_VARIABLE_483) z)) ) 0.20/0.50 ( skv_11 ) 0.20/0.50 ) 0.20/0.50 (skolem (forall ((z Bool)) (= (ho_6 (ho_4 k_3 BOOLEAN_TERM_VARIABLE_483) z) (ho_6 (ho_4 k_5 BOOLEAN_TERM_VARIABLE_483) z)) ) 0.20/0.50 ( skv_12 ) 0.20/0.50 ) 0.20/0.50 (instantiation (forall ((X Bool) (Y Bool)) (= (ho_6 (ho_4 k_5 X) Y) (and X Y)) ) 0.20/0.50 ( true, true ) 0.20/0.50 ( false, false ) 0.20/0.50 ( false, BOOLEAN_TERM_VARIABLE_650 ) 0.20/0.50 ( (= k_3 k_5), (= k_3 k_5) ) 0.20/0.50 ( (= k_3 k_5), BOOLEAN_TERM_VARIABLE_483 ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_457, false ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_457, BOOLEAN_TERM_VARIABLE_457 ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_457, BOOLEAN_TERM_VARIABLE_483 ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483, false ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483, (= k_3 k_5) ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483, BOOLEAN_TERM_VARIABLE_457 ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483, BOOLEAN_TERM_VARIABLE_1147 ) 0.20/0.50 ) 0.20/0.50 (instantiation (forall ((_lvar_0 Bool) (_lvar_1 Bool)) (= (ho_6 (ho_4 k_3 _lvar_0) _lvar_1) (and _lvar_0 _lvar_1)) ) 0.20/0.50 ( true, true ) 0.20/0.50 ( false, false ) 0.20/0.50 ( false, BOOLEAN_TERM_VARIABLE_650 ) 0.20/0.50 ( (= k_3 k_5), (= k_3 k_5) ) 0.20/0.50 ( (= k_3 k_5), BOOLEAN_TERM_VARIABLE_483 ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_457, false ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_457, BOOLEAN_TERM_VARIABLE_457 ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_457, BOOLEAN_TERM_VARIABLE_483 ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483, false ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483, (= k_3 k_5) ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483, BOOLEAN_TERM_VARIABLE_457 ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483, BOOLEAN_TERM_VARIABLE_802 ) 0.20/0.50 ) 0.20/0.50 (instantiation (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) ) 0.20/0.50 ( |e_|u_(-> Bool Bool)|_7|, |e_|u_(-> Bool Bool)|_7| ) 0.20/0.50 ( (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457), (ho_4 k_3 BOOLEAN_TERM_VARIABLE_457) ) 0.20/0.50 ( (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457), (ho_4 k_5 BOOLEAN_TERM_VARIABLE_483) ) 0.20/0.50 ( (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457), (ho_4 k_3 BOOLEAN_TERM_VARIABLE_483) ) 0.20/0.50 ( (ho_4 k_3 BOOLEAN_TERM_VARIABLE_483), (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457) ) 0.20/0.50 ( (ho_4 k_3 BOOLEAN_TERM_VARIABLE_483), (ho_4 k_5 BOOLEAN_TERM_VARIABLE_483) ) 0.20/0.50 ) 0.20/0.50 (instantiation (forall ((x |u_(-> Bool Bool Bool)|) (y |u_(-> Bool Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) ) 0.20/0.50 ( k_3, k_5 ) 0.20/0.50 ( k_5, k_3 ) 0.20/0.50 ) 0.20/0.50 (instantiation (forall ((z Bool)) (= (ho_6 (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457) z) (ho_6 (ho_4 k_3 BOOLEAN_TERM_VARIABLE_457) z)) ) 0.20/0.50 ( BOOLEAN_TERM_VARIABLE_483 ) 0.20/0.50 ( (= (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457) (ho_4 k_5 BOOLEAN_TERM_VARIABLE_483)) ) 0.20/0.50 ( (= (ho_4 k_5 BOOLEAN_TERM_VARIABLE_457) (ho_4 k_3 BOOLEAN_TERM_VARIABLE_483)) ) 0.20/0.50 ) 0.20/0.50 % SZS output end Proof for theBenchmark 0.20/0.50 EOF