0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : do_CVC4 %s %d 0.11/0.30 % Computer : n010.cluster.edu 0.11/0.30 % Model : x86_64 x86_64 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.30 % Memory : 8042.1875MB 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.30 % CPULimit : 960 0.11/0.30 % WCLimit : 120 0.11/0.30 % DateTime : Thu Jul 2 08:51:42 EDT 2020 0.11/0.31 % CPUTime : 0.17/0.41 %----Proving TH0 0.17/0.42 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.17/0.42 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.17/0.50 % SZS status Theorem for theBenchmark 0.17/0.50 % SZS output start Proof for theBenchmark 0.17/0.50 (skolem (forall ((A_27a d) (V0s_2E0 u)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_2 k_1 _let_1))) (let ((_let_3 (ho_3 _let_2 V0s_2E0))) (ho_5 k_4 (ho_3 (ho_2 k_1 tyop_2Emin_2Ebool) (ho_17 (ho_16 k_25 (ho_3 _let_2 (ho_17 k_26 _let_3))) _let_3))))))) ) 0.17/0.50 ( skv_36 skv_37 ) 0.17/0.50 ) 0.17/0.50 (skolem (forall ((V2x_2E0 u)) (let ((_let_0 (ho_2 k_1 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_13 k_12 skv_36))) (let ((_let_2 (ho_14 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_2 k_1 _let_2))) (let ((_let_4 (ho_3 _let_3 skv_37))) (let ((_let_5 (ho_2 k_1 skv_36))) (let ((_let_6 (ho_3 _let_5 V2x_2E0))) (let ((_let_7 (ho_16 k_18 _let_6))) (or (not (ho_5 k_4 (ho_3 _let_0 (ho_17 _let_7 (ho_3 _let_3 (ho_17 k_26 _let_4)))))) (ho_5 k_4 (ho_3 _let_0 (ho_17 _let_7 _let_4)))))))))))) ) 0.17/0.50 ( skv_38 ) 0.17/0.50 ) 0.17/0.50 (skolem (forall ((V1x_2E0 u)) (ho_5 k_4 (ho_3 (ho_2 k_1 tyop_2Emin_2Ebool) (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)) (ho_3 (ho_2 k_1 skv_36) V1x_2E0)))) ) 0.17/0.50 ( skv_39 ) 0.17/0.50 ) 0.17/0.50 (skolem (forall ((V1x_2E0 u)) (let ((_let_0 (ho_13 k_12 skv_36))) (let ((_let_1 (ho_14 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_2 k_1 _let_1))) (ho_5 k_4 (ho_3 (ho_2 k_1 tyop_2Emin_2Ebool) (ho_17 (ho_16 k_15 (ho_3 _let_2 (ho_17 k_26 (ho_3 _let_2 skv_37)))) (ho_3 (ho_2 k_1 skv_36) V1x_2E0))))))) ) 0.17/0.50 ( skv_40 ) 0.17/0.50 ) 0.17/0.50 (skolem (forall ((V2x_2E0 u)) (let ((_let_0 (ho_2 k_1 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_13 k_12 skv_36))) (let ((_let_2 (ho_14 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_2 k_1 _let_2))) (let ((_let_4 (ho_3 _let_3 skv_37))) (let ((_let_5 (ho_2 k_1 skv_36))) (let ((_let_6 (ho_3 _let_5 V2x_2E0))) (= (ho_3 _let_0 (ho_17 (ho_16 k_15 _let_4) _let_6)) (ho_3 _let_0 (ho_17 (ho_16 k_15 (ho_3 _let_3 (ho_17 k_26 _let_4))) _let_6)))))))))) ) 0.17/0.50 ( skv_41 ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((V0_2E0 u)) (let ((_let_0 (ho_2 k_1 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_3 _let_0 V0_2E0))) (= _let_1 (ho_3 _let_0 (ho_7 k_6 (ho_5 k_4 _let_1)))))) ) 0.17/0.50 ( (let ((_let_0 (ho_13 k_12 skv_36))) (let ((_let_1 (ho_14 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_2 k_1 _let_1))) (let ((_let_3 (ho_3 _let_2 skv_37))) (ho_17 (ho_16 k_25 (ho_3 _let_2 (ho_17 k_26 _let_3))) _let_3))))) ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (X0_2E0 u)) (let ((_let_0 (ho_2 k_1 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_13 k_12 A_27a))) (let ((_let_2 (ho_14 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_2 k_1 _let_2))) (let ((_let_4 (ho_3 _let_3 X0_2E0))) (= (ho_5 k_4 (ho_3 _let_0 (ho_17 k_19 _let_4))) (ho_5 k_4 (ho_3 _let_0 (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 _let_2) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) _let_4))))))))) ) 0.17/0.50 ( skv_36, skv_37 ) 0.17/0.50 ( skv_36, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)) ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (A_27b d) (V0f_2E0 u) (V1g_2E0 u)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 A_27b))) (let ((_let_2 (ho_2 k_1 _let_1))) (or (not (forall ((V2x_2E0 u)) (let ((_let_0 (ho_2 k_1 A_27a))) (let ((_let_1 (ho_3 _let_0 V2x_2E0))) (let ((_let_3 (ho_2 k_1 A_27b))) (= (ho_3 _let_3 (ho_17 (ho_16 k_15 (ho_3 _let_2 V0f_2E0)) _let_1)) (ho_3 _let_3 (ho_17 (ho_16 k_15 (ho_3 _let_2 V1g_2E0)) _let_1)))))) )) (= (ho_3 _let_2 V0f_2E0) (ho_3 _let_2 V1g_2E0)))))) ) 0.17/0.50 ( skv_36, tyop_2Emin_2Ebool, skv_37, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)) ) 0.17/0.50 ( skv_36, tyop_2Emin_2Ebool, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)), skv_37 ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (V0s_2E0 u) (V1t_2E0 u)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_2 k_1 _let_1))) (= (forall ((V2x_2E0 u)) (let ((_let_0 (ho_2 k_1 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_2 k_1 A_27a))) (let ((_let_3 (ho_3 _let_1 V2x_2E0))) (let ((_let_4 (ho_16 k_18 _let_3))) (or (not (ho_5 k_4 (ho_3 _let_0 (ho_17 _let_4 (ho_3 _let_2 V0s_2E0))))) (ho_5 k_4 (ho_3 _let_0 (ho_17 _let_4 (ho_3 _let_2 V1t_2E0))))))))) ) (ho_5 k_4 (ho_3 (ho_2 k_1 tyop_2Emin_2Ebool) (ho_17 (ho_16 k_25 (ho_3 _let_2 V0s_2E0)) (ho_3 _let_2 V1t_2E0)))))))) ) 0.17/0.50 ( skv_36, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)), skv_37 ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (X0_2E0 u)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_2 k_1 _let_1))) (let ((_let_3 (ho_3 _let_2 X0_2E0))) (= (ho_3 _let_2 (ho_17 k_26 _let_3)) (ho_3 _let_2 (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 _let_1) _let_1)) c_2Epred__set_2EREST_2E0)) _let_3))))))) ) 0.17/0.50 ( skv_36, skv_37 ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (V0s_2E0 u) (V1x_2E0 u) (V2y_2E0 u)) (let ((_let_0 (ho_2 k_1 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_13 k_12 A_27a))) (let ((_let_2 (ho_14 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_2 k_1 _let_2))) (let ((_let_4 (ho_3 _let_3 V0s_2E0))) (let ((_let_5 (ho_2 k_1 A_27a))) (let ((_let_6 (ho_3 _let_5 V1x_2E0))) (let ((_let_7 (ho_16 k_18 _let_6))) (let ((_let_8 (ho_3 _let_5 V2y_2E0))) (= (ho_5 k_4 (ho_3 _let_0 (ho_17 _let_7 (ho_3 _let_3 (ho_17 (ho_16 k_33 _let_4) _let_8))))) (and (not (= _let_6 _let_8)) (ho_5 k_4 (ho_3 _let_0 (ho_17 _let_7 _let_4)))))))))))))) ) 0.17/0.50 ( skv_36, skv_37, skv_38, (ho_17 k_34 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)) ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (V0s_2E0 u)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_2 k_1 _let_1))) (let ((_let_3 (ho_3 _let_2 V0s_2E0))) (= (ho_3 _let_2 (ho_17 k_26 _let_3)) (ho_3 _let_2 (ho_17 (ho_16 k_33 _let_3) (ho_3 (ho_2 k_1 A_27a) (ho_17 k_34 _let_3))))))))) ) 0.17/0.50 ( skv_36, skv_37 ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (V0f_2E0 u)) (= (forall ((V1x_2E0 u)) (ho_5 k_4 (ho_3 (ho_2 k_1 tyop_2Emin_2Ebool) (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) (ho_3 (ho_2 k_1 A_27a) V1x_2E0)))) ) (ho_5 k_4 (ho_3 (ho_2 k_1 tyop_2Emin_2Ebool) (ho_17 k_19 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) ) 0.17/0.50 ( skv_36, skv_37 ) 0.17/0.50 ( skv_36, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)) ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (X0_2E0 u) (X1_2E0 u)) (let ((_let_0 (ho_2 k_1 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_13 k_12 A_27a))) (let ((_let_2 (ho_14 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_2 k_1 _let_2))) (let ((_let_4 (ho_3 _let_3 X1_2E0))) (let ((_let_5 (ho_3 _let_3 X0_2E0))) (let ((_let_6 (ho_13 k_12 _let_2))) (let ((_let_7 (ho_14 _let_6 tyop_2Emin_2Ebool))) (= (ho_5 k_4 (ho_3 _let_0 (ho_17 (ho_16 k_25 _let_5) _let_4))) (ho_5 k_4 (ho_3 _let_0 (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 _let_7) (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 (ho_14 _let_6 _let_7)) c_2Epred__set_2ESUBSET_2E0)) _let_5))) _let_4)))))))))))) ) 0.17/0.50 ( skv_36, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)), skv_37 ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (X0_2E0 u)) (let ((_let_0 (ho_2 k_1 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_13 k_12 A_27a))) (let ((_let_2 (ho_14 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_2 k_1 _let_2))) (let ((_let_4 (ho_3 _let_3 X0_2E0))) (= (ho_5 k_4 (ho_3 _let_0 (ho_17 k_35 _let_4))) (ho_5 k_4 (ho_3 _let_0 (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 _let_2) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) _let_4))))))))) ) 0.17/0.50 ( skv_36, skv_37 ) 0.17/0.50 ( skv_36, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)) ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (V0f_2E0 u)) (= (ho_5 k_4 (ho_3 (ho_2 k_1 tyop_2Emin_2Ebool) (ho_17 k_35 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 A_27a) tyop_2Emin_2Ebool)) V0f_2E0)))) (not (forall ((V1x_2E0 u)) (not (ho_5 k_4 (ho_3 (ho_2 k_1 tyop_2Emin_2Ebool) (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) (ho_3 (ho_2 k_1 A_27a) V1x_2E0))))) ))) ) 0.17/0.50 ( skv_36, skv_37 ) 0.17/0.50 ( skv_36, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)) ) 0.17/0.50 ) 0.17/0.50 (instantiation (forall ((A_27a d) (X0_2E0 u)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_2 k_1 _let_1))) (let ((_let_3 (ho_3 _let_2 X0_2E0))) (let ((_let_4 (ho_2 k_1 A_27a))) (= (ho_3 _let_4 (ho_17 k_34 _let_3)) (ho_3 _let_4 (ho_17 (ho_16 k_15 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 _let_1) A_27a)) c_2Epred__set_2ECHOICE_2E0)) _let_3)))))))) ) 0.17/0.50 ( skv_36, skv_37 ) 0.17/0.50 ( skv_36, (ho_17 k_26 (ho_3 (ho_2 k_1 (ho_14 (ho_13 k_12 skv_36) tyop_2Emin_2Ebool)) skv_37)) ) 0.17/0.50 ) 0.17/0.50 % SZS output end Proof for theBenchmark 0.17/0.51 EOF