0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : do_CVC4 %s %d 0.09/0.31 % Computer : n011.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Thu Jul 2 07:57:48 EDT 2020 0.09/0.31 % CPUTime : 0.15/0.42 %----Proving TH0 0.15/0.43 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.15/0.43 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.44/0.64 % SZS status Theorem for theBenchmark 0.44/0.64 % SZS output start Proof for theBenchmark 0.44/0.64 (skolem (forall ((A_27a d) (A_27b d) (V0i_2E0 u) (V1P_2E0 u) (V2Q_2E0 u)) (let ((_let_0 (ho_6 k_5 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_14 k_13 A_27a))) (let ((_let_2 (ho_15 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_6 k_5 _let_2))) (let ((_let_4 (ho_14 k_13 A_27b))) (let ((_let_5 (ho_15 _let_4 A_27a))) (let ((_let_6 (ho_6 k_5 _let_5))) (let ((_let_7 (ho_7 _let_6 V0i_2E0))) (let ((_let_8 (ho_9 k_17 _let_7))) (or (not (forall ((V3x_2E0 u)) (let ((_let_1 (ho_6 k_5 A_27a))) (let ((_let_2 (ho_7 _let_1 V3x_2E0))) (or (not (ho_12 k_11 (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 _let_3 V2Q_2E0)) _let_2)))) (ho_12 k_11 (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 _let_3 V1P_2E0)) _let_2)))))) )) (not (ho_12 k_11 (ho_7 _let_0 (ho_10 _let_8 (ho_7 _let_3 V1P_2E0))))) (ho_12 k_11 (ho_7 _let_0 (ho_10 _let_8 (ho_7 _let_3 V2Q_2E0)))))))))))))) ) 0.44/0.64 ( skv_43 skv_44 skv_45 skv_46 skv_47 ) 0.44/0.64 ) 0.44/0.64 (skolem (forall ((V11fv_2E0 u)) (not (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) (ho_7 (ho_6 k_5 skv_43) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_44) skv_43)) skv_45)) (ho_7 (ho_6 k_5 skv_44) V11fv_2E0))))))) ) 0.44/0.64 ( skv_48 ) 0.44/0.64 ) 0.44/0.64 (skolem (forall ((V2x_2E0 u)) (let ((_let_0 (ho_6 k_5 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_14 k_13 skv_43))) (let ((_let_2 (ho_15 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_6 k_5 _let_2))) (let ((_let_4 (ho_6 k_5 skv_43))) (let ((_let_5 (ho_7 _let_4 V2x_2E0))) (= (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 _let_3 skv_46)) _let_5)) (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 _let_3 skv_47)) _let_5))))))))) ) 0.44/0.64 ( skv_49 ) 0.44/0.64 ) 0.44/0.64 (skolem (forall ((V1x_2E0 u)) (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_46)) (ho_7 (ho_6 k_5 skv_43) V1x_2E0)))) ) 0.44/0.64 ( skv_50 ) 0.44/0.64 ) 0.44/0.64 (skolem (forall ((V1x_2E0 u)) (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) (ho_7 (ho_6 k_5 skv_43) V1x_2E0)))) ) 0.44/0.64 ( skv_51 ) 0.44/0.64 ) 0.44/0.64 (skolem (forall ((V1x_2E0 u)) (not (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) (ho_7 (ho_6 k_5 skv_43) V1x_2E0))))) ) 0.44/0.64 ( skv_52 ) 0.44/0.64 ) 0.44/0.64 (instantiation (forall ((A_27a d) (A_27b d) (X0_2E0 u) (X1_2E0 u)) (let ((_let_0 (ho_6 k_5 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_14 k_13 A_27b))) (let ((_let_2 (ho_15 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_6 k_5 _let_2))) (let ((_let_4 (ho_7 _let_3 X1_2E0))) (let ((_let_5 (ho_14 k_13 A_27a))) (let ((_let_6 (ho_15 _let_5 A_27b))) (let ((_let_7 (ho_6 k_5 _let_6))) (let ((_let_8 (ho_7 _let_7 X0_2E0))) (let ((_let_9 (ho_14 k_13 _let_2))) (let ((_let_10 (ho_15 _let_9 tyop_2Emin_2Ebool))) (= (ho_12 k_11 (ho_7 _let_0 (ho_10 (ho_9 k_17 _let_8) _let_4))) (ho_12 k_11 (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 _let_10) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_6) _let_10)) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) _let_8))) _let_4))))))))))))))) ) 0.44/0.64 ( skv_44, skv_43, skv_45, skv_46 ) 0.44/0.64 ( skv_44, skv_43, skv_45, skv_47 ) 0.44/0.64 ) 0.44/0.64 (instantiation (forall ((BOUND_VARIABLE_2181 d) (BOUND_VARIABLE_2182 d) (V9i_2E0 u) (V10P_2E0 u)) (= (forall ((V11fv_2E0 u)) (not (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 BOUND_VARIABLE_2182) tyop_2Emin_2Ebool)) V10P_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_2182) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 BOUND_VARIABLE_2181) BOUND_VARIABLE_2182)) V9i_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_2181) V11fv_2E0))))))) ) (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_17 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 BOUND_VARIABLE_2181) BOUND_VARIABLE_2182)) V9i_2E0)) (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 BOUND_VARIABLE_2182) tyop_2Emin_2Ebool)) V10P_2E0))))) ) 0.44/0.64 ( skv_44, skv_43, skv_45, skv_46 ) 0.44/0.64 ( skv_44, skv_43, skv_45, skv_47 ) 0.44/0.64 ) 0.44/0.64 (instantiation (forall ((A_27a d) (A_27b d) (V0f_2E0 u) (V1g_2E0 u)) (let ((_let_0 (ho_14 k_13 A_27a))) (let ((_let_1 (ho_15 _let_0 A_27b))) (let ((_let_2 (ho_6 k_5 _let_1))) (or (not (forall ((V2x_2E0 u)) (let ((_let_0 (ho_6 k_5 A_27a))) (let ((_let_1 (ho_7 _let_0 V2x_2E0))) (let ((_let_3 (ho_6 k_5 A_27b))) (= (ho_7 _let_3 (ho_10 (ho_9 k_16 (ho_7 _let_2 V0f_2E0)) _let_1)) (ho_7 _let_3 (ho_10 (ho_9 k_16 (ho_7 _let_2 V1g_2E0)) _let_1)))))) )) (= (ho_7 _let_2 V0f_2E0) (ho_7 _let_2 V1g_2E0)))))) ) 0.44/0.64 ( skv_43, tyop_2Emin_2Ebool, skv_46, skv_47 ) 0.44/0.64 ( skv_43, tyop_2Emin_2Ebool, skv_47, skv_46 ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E0, c_2Ebool_2E_3F_2E0 ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E0, (let ((_let_0 (ho_14 k_13 skv_44))) (let ((_let_1 (ho_15 _let_0 skv_43))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) (ho_15 (ho_14 k_13 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_45)))) ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E0, (let ((_let_0 (ho_14 k_13 skv_44))) (let ((_let_1 (ho_15 _let_0 skv_43))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) (ho_15 (ho_14 k_13 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_45)))) ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), tyop_2Emin_2Ebool, (let ((_let_0 (ho_14 k_13 skv_44))) (let ((_let_1 (ho_15 _let_0 skv_43))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) (ho_15 (ho_14 k_13 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_45)))), c_2Ebool_2E_21_2E0 ) 0.44/0.64 ) 0.44/0.64 (instantiation (forall ((A_27a d) (X0_2E0 u)) (let ((_let_0 (ho_6 k_5 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_14 k_13 A_27a))) (let ((_let_2 (ho_15 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_6 k_5 _let_2))) (let ((_let_4 (ho_7 _let_3 X0_2E0))) (= (ho_12 k_11 (ho_7 _let_0 (ho_10 k_24 _let_4))) (ho_12 k_11 (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_2) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) _let_4))))))))) ) 0.44/0.64 ( skv_43, skv_46 ) 0.44/0.64 ( skv_43, skv_47 ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0 ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0 ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), (let ((_let_0 (ho_14 k_13 skv_44))) (let ((_let_1 (ho_15 _let_0 skv_43))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) (ho_15 (ho_14 k_13 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_45)))) ) 0.44/0.64 ) 0.44/0.64 (instantiation (forall ((A_27a d) (V0f_2E0 u)) (= (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 k_25 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 A_27a) tyop_2Emin_2Ebool)) V0f_2E0)))) (not (forall ((V1x_2E0 u)) (not (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) (ho_7 (ho_6 k_5 A_27a) V1x_2E0))))) ))) ) 0.44/0.64 ( skv_43, skv_46 ) 0.44/0.64 ( skv_43, skv_47 ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0 ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0 ) 0.44/0.64 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), (let ((_let_0 (ho_14 k_13 skv_44))) (let ((_let_1 (ho_15 _let_0 skv_43))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) (ho_15 (ho_14 k_13 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_45)))) ) 0.44/0.64 ) 0.44/0.64 (instantiation (forall ((V0_2E0 u)) (let ((_let_0 (ho_6 k_5 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_7 _let_0 V0_2E0))) (= _let_1 (ho_7 _let_0 (ho_31 k_30 (ho_12 k_11 _let_1)))))) ) 0.44/0.64 ( (ho_10 (ho_9 k_17 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_44) skv_43)) skv_45)) (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_46)) ) 0.44/0.64 ( (ho_10 (ho_9 k_17 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_44) skv_43)) skv_45)) (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) ) 0.44/0.64 ( (let ((_let_0 (ho_14 k_13 skv_43))) (let ((_let_1 (ho_15 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_14 k_13 skv_44))) (let ((_let_3 (ho_15 _let_2 skv_43))) (let ((_let_4 (ho_14 k_13 _let_1))) (let ((_let_5 (ho_15 _let_4 tyop_2Emin_2Ebool))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 _let_5) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_3) _let_5)) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_3) skv_45)))) (ho_7 (ho_6 k_5 _let_1) skv_47)))))))) ) 0.44/0.65 ( (let ((_let_0 (ho_14 k_13 skv_43))) (let ((_let_1 (ho_15 _let_0 tyop_2Emin_2Ebool))) (let ((_let_2 (ho_14 k_13 skv_44))) (let ((_let_3 (ho_15 _let_2 skv_43))) (let ((_let_4 (ho_14 k_13 _let_1))) (let ((_let_5 (ho_15 _let_4 tyop_2Emin_2Ebool))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 _let_5) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_3) _let_5)) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_3) skv_45)))) (ho_7 (ho_6 k_5 _let_1) skv_46)))))))) ) 0.44/0.65 ( (ho_10 k_24 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_46)) ) 0.44/0.65 ( (let ((_let_0 (ho_14 k_13 skv_43))) (let ((_let_1 (ho_15 _let_0 tyop_2Emin_2Ebool))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_46)))) ) 0.44/0.65 ( (ho_10 k_24 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) ) 0.44/0.65 ( (let ((_let_0 (ho_14 k_13 skv_43))) (let ((_let_1 (ho_15 _let_0 tyop_2Emin_2Ebool))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_47)))) ) 0.44/0.65 ( (ho_10 k_25 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_46)) ) 0.44/0.65 ( (ho_10 k_25 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) ) 0.44/0.65 ( (let ((_let_0 (ho_14 k_13 skv_43))) (let ((_let_1 (ho_15 _let_0 tyop_2Emin_2Ebool))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_46)))) ) 0.44/0.65 ( (let ((_let_0 (ho_14 k_13 skv_43))) (let ((_let_1 (ho_15 _let_0 tyop_2Emin_2Ebool))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_47)))) ) 0.44/0.65 ( (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) (ho_7 (ho_6 k_5 skv_43) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_44) skv_43)) skv_45)) (ho_7 (ho_6 k_5 skv_44) skv_48)))) ) 0.44/0.65 ( (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_46)) (ho_7 (ho_6 k_5 skv_43) skv_50)) ) 0.44/0.65 ( (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) (ho_7 (ho_6 k_5 skv_43) skv_51)) ) 0.44/0.65 ( (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) (ho_7 (ho_6 k_5 skv_43) skv_52)) ) 0.44/0.65 ) 0.44/0.65 (instantiation (forall ((A_27a d) (V0f_2E0 u)) (= (forall ((V1x_2E0 u)) (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) (ho_7 (ho_6 k_5 A_27a) V1x_2E0)))) ) (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 k_24 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) ) 0.44/0.65 ( skv_43, skv_46 ) 0.44/0.65 ( skv_43, skv_47 ) 0.44/0.65 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0 ) 0.44/0.65 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0 ) 0.44/0.65 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), (let ((_let_0 (ho_14 k_13 skv_44))) (let ((_let_1 (ho_15 _let_0 skv_43))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) (ho_15 (ho_14 k_13 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_45)))) ) 0.44/0.65 ) 0.44/0.65 (instantiation (forall ((A_27a d) (X0_2E0 u)) (let ((_let_0 (ho_6 k_5 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_14 k_13 A_27a))) (let ((_let_2 (ho_15 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_6 k_5 _let_2))) (let ((_let_4 (ho_7 _let_3 X0_2E0))) (= (ho_12 k_11 (ho_7 _let_0 (ho_10 k_25 _let_4))) (ho_12 k_11 (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_2) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) _let_4))))))))) ) 0.44/0.65 ( skv_43, skv_46 ) 0.44/0.65 ( skv_43, skv_47 ) 0.44/0.65 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0 ) 0.44/0.65 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0 ) 0.44/0.65 ( (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool), (let ((_let_0 (ho_14 k_13 skv_44))) (let ((_let_1 (ho_15 _let_0 skv_43))) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 _let_1) (ho_15 (ho_14 k_13 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) (ho_7 (ho_6 k_5 _let_1) skv_45)))) ) 0.44/0.65 ) 0.44/0.65 (instantiation (forall ((V0 Bool)) (= (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_31 k_30 V0))) V0) ) 0.44/0.65 ( BOOLEAN_TERM_VARIABLE_6517 ) 0.44/0.65 ( BOOLEAN_TERM_VARIABLE_6527 ) 0.44/0.65 ) 0.44/0.65 (instantiation (forall ((V3x_2E0 u)) (let ((_let_0 (ho_6 k_5 tyop_2Emin_2Ebool))) (let ((_let_1 (ho_14 k_13 skv_43))) (let ((_let_2 (ho_15 _let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (ho_6 k_5 _let_2))) (let ((_let_4 (ho_6 k_5 skv_43))) (let ((_let_5 (ho_7 _let_4 V3x_2E0))) (or (not (ho_12 k_11 (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 _let_3 skv_47)) _let_5)))) (ho_12 k_11 (ho_7 _let_0 (ho_10 (ho_9 k_16 (ho_7 _let_3 skv_46)) _let_5)))))))))) ) 0.44/0.65 ( (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_44) skv_43)) skv_45)) (ho_7 (ho_6 k_5 skv_44) skv_48)) ) 0.44/0.65 ( skv_49 ) 0.44/0.65 ( skv_50 ) 0.44/0.65 ( skv_52 ) 0.44/0.65 ) 0.44/0.65 (instantiation (forall ((V11fv_2E0 u)) (not (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_46)) (ho_7 (ho_6 k_5 skv_43) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_44) skv_43)) skv_45)) (ho_7 (ho_6 k_5 skv_44) V11fv_2E0))))))) ) 0.44/0.65 ( skv_48 ) 0.44/0.65 ) 0.44/0.65 (instantiation (forall ((V1x_2E0 u)) (not (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_46)) (ho_7 (ho_6 k_5 skv_43) V1x_2E0))))) ) 0.44/0.65 ( (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_44) skv_43)) skv_45)) (ho_7 (ho_6 k_5 skv_44) skv_48)) ) 0.44/0.65 ( skv_49 ) 0.44/0.65 ( skv_51 ) 0.44/0.65 ( skv_52 ) 0.44/0.65 ) 0.44/0.65 (instantiation (forall ((V1x_2E0 u)) (not (ho_12 k_11 (ho_7 (ho_6 k_5 tyop_2Emin_2Ebool) (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_43) tyop_2Emin_2Ebool)) skv_47)) (ho_7 (ho_6 k_5 skv_43) V1x_2E0))))) ) 0.44/0.65 ( (ho_10 (ho_9 k_16 (ho_7 (ho_6 k_5 (ho_15 (ho_14 k_13 skv_44) skv_43)) skv_45)) (ho_7 (ho_6 k_5 skv_44) skv_48)) ) 0.44/0.65 ) 0.44/0.65 % SZS output end Proof for theBenchmark 0.44/0.65 EOF