0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : do_CVC4 %s %d 0.13/0.34 % Computer : n021.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 08:01:52 EDT 2020 0.13/0.35 % CPUTime : 0.20/0.48 %----Proving TH0 0.20/0.48 ------- cvc4-thf casc j10 : /export/starexec/sandbox/benchmark/theBenchmark.p at 960... 0.20/0.48 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 20.36/20.56 --- Run --uf-ho --ho-elim --full-saturate-quant at 20... 40.46/40.65 --- Run --uf-ho --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 40.46/40.69 % SZS status Theorem for theBenchmark 40.53/40.92 % SZS output start Proof for theBenchmark 40.53/40.92 (skolem (forall ((BOUND_VARIABLE_2039 $$unsorted) (BOUND_VARIABLE_2043 mu) (BOUND_VARIABLE_2271 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_2249 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_2046 $$unsorted) (BOUND_VARIABLE_2047 mu)) (or (not (forall ((BOUND_VARIABLE_2279 |u_(-> mu $$unsorted Bool)|)) (or (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2279) BOUND_VARIABLE_2039)) (ho_5 (ho_4 BOUND_VARIABLE_2279 BOUND_VARIABLE_2043) BOUND_VARIABLE_2039)) )) (and (or (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2271) BOUND_VARIABLE_2039)) (ho_5 (ho_4 BOUND_VARIABLE_2271 BOUND_VARIABLE_2043) BOUND_VARIABLE_2039)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_2249 BOUND_VARIABLE_2043) BOUND_VARIABLE_2039)) (not (ho_5 (ho_11 k_10 BOUND_VARIABLE_2039) BOUND_VARIABLE_2046)) (not (forall ((BOUND_VARIABLE_2252 |u_(-> mu $$unsorted Bool)|)) (or (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2252) BOUND_VARIABLE_2046)) (ho_5 (ho_4 BOUND_VARIABLE_2252 BOUND_VARIABLE_2047) BOUND_VARIABLE_2046)) )) (ho_5 (ho_4 BOUND_VARIABLE_2249 BOUND_VARIABLE_2047) BOUND_VARIABLE_2046)))) ) 40.53/40.92 ( skv_14 skv_15 skv_16 skv_17 skv_18 skv_19 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_9 v ii) (ite (= ii skv_16) (ho_4 skv_17 skv_19) (ho_9 k_8 ii))) )) ) 40.53/40.92 ( skv_22 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_9 v ii) (ite (= ii skv_17) (ho_4 skv_17 skv_19) (ho_9 k_8 ii))) )) ) 40.53/40.92 ( skv_23 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_9 v ii) (ite (= ii skv_16) (ho_9 k_8 skv_16) (ho_9 k_8 ii))) )) ) 40.53/40.92 ( skv_24 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_9 v ii) (ite (= ii skv_17) (ho_9 k_8 skv_16) (ho_9 k_8 ii))) )) ) 40.53/40.92 ( skv_25 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_7 v ii) (ite (= ii skv_16) skv_16 (ho_7 |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21| ii))) )) ) 40.53/40.92 ( skv_26 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_7 v ii) (ite (= ii skv_17) skv_16 (ho_7 |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21| ii))) )) ) 40.53/40.92 ( skv_27 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_7 v ii) (ite (= ii skv_16) skv_17 (ho_7 |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21| ii))) )) ) 40.53/40.92 ( skv_28 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_7 v ii) (ite (= ii skv_17) skv_17 (ho_7 |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21| ii))) )) ) 40.53/40.92 ( skv_29 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= ii skv_14) false (ho_5 (ho_4 skv_17 skv_19) ii))) )) ) 40.53/40.92 ( skv_30 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= ii skv_14) true (ho_5 (ho_4 skv_17 skv_19) ii))) )) ) 40.53/40.92 ( skv_31 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= ii skv_14) false (ho_5 (ho_9 k_8 skv_16) ii))) )) ) 40.53/40.92 ( skv_32 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= ii skv_14) true (ho_5 (ho_9 k_8 skv_16) ii))) )) ) 40.53/40.92 ( skv_33 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_11 v ii) (ite (= ii skv_14) (ho_4 skv_17 skv_19) (ho_11 k_10 ii))) )) ) 40.53/40.92 ( skv_34 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_11 v ii) (ite (= ii skv_14) (ho_9 k_8 skv_16) (ho_11 k_10 ii))) )) ) 40.53/40.92 ( skv_35 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= ii skv_15) (ho_4 skv_17 skv_19) (ho_4 skv_16 ii))) )) ) 40.53/40.92 ( skv_36 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= ii skv_19) (ho_4 skv_17 skv_19) (ho_4 skv_16 ii))) )) ) 40.53/40.92 ( skv_37 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= ii skv_15) (ho_9 k_8 skv_16) (ho_4 skv_16 ii))) )) ) 40.53/40.92 ( skv_38 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= ii skv_19) (ho_9 k_8 skv_16) (ho_4 skv_16 ii))) )) ) 40.53/40.92 ( skv_39 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= ii skv_15) (ho_4 skv_17 skv_19) (ho_4 skv_17 ii))) )) ) 40.53/40.92 ( skv_40 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= ii skv_19) (ho_4 skv_17 skv_19) (ho_4 skv_17 ii))) )) ) 40.53/40.92 ( skv_41 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= ii skv_15) (ho_9 k_8 skv_16) (ho_4 skv_17 ii))) )) ) 40.53/40.92 ( skv_42 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= ii skv_19) (ho_9 k_8 skv_16) (ho_4 skv_17 ii))) )) ) 40.53/40.92 ( skv_43 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((z mu)) (= (ho_4 skv_16 z) (ho_4 skv_17 z)) ) 40.53/40.92 ( skv_44 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((z $$unsorted)) (= (ho_5 (ho_4 skv_17 skv_19) z) (ho_5 (ho_9 k_8 skv_16) z)) ) 40.53/40.92 ( skv_45 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((BOUND_VARIABLE_1649 $$unsorted) (BOUND_VARIABLE_1650 mu)) (or (not (ho_5 (ho_11 k_10 skv_14) BOUND_VARIABLE_1649)) (not (ho_5 (ho_4 skv_16 BOUND_VARIABLE_1650) BOUND_VARIABLE_1649)) (ho_5 (ho_4 skv_17 BOUND_VARIABLE_1650) BOUND_VARIABLE_1649)) ) 40.53/40.92 ( skv_46 skv_47 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((BOUND_VARIABLE_2295 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_1334 $$unsorted)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_2295 skv_15) skv_14)) (not (forall ((BOUND_VARIABLE_2306 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_1308 $$unsorted) (BOUND_VARIABLE_1309 mu)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_2306 skv_15) skv_14)) (not (ho_5 (ho_11 k_10 skv_14) BOUND_VARIABLE_1308)) (not (ho_5 (ho_4 BOUND_VARIABLE_2295 BOUND_VARIABLE_1309) BOUND_VARIABLE_1308)) (ho_5 (ho_4 BOUND_VARIABLE_2306 BOUND_VARIABLE_1309) BOUND_VARIABLE_1308)) )) (not (ho_5 (ho_11 k_10 skv_14) BOUND_VARIABLE_1334)) (not (forall ((BOUND_VARIABLE_1296 mu)) (not (ho_5 (ho_4 BOUND_VARIABLE_2295 BOUND_VARIABLE_1296) BOUND_VARIABLE_1334)) ))) ) 40.53/40.92 ( skv_48 skv_49 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((BOUND_VARIABLE_2295 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_1334 $$unsorted)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_2295 skv_19) skv_14)) (not (forall ((BOUND_VARIABLE_2306 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_1308 $$unsorted) (BOUND_VARIABLE_1309 mu)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_2306 skv_19) skv_14)) (not (ho_5 (ho_11 k_10 skv_14) BOUND_VARIABLE_1308)) (not (ho_5 (ho_4 BOUND_VARIABLE_2295 BOUND_VARIABLE_1309) BOUND_VARIABLE_1308)) (ho_5 (ho_4 BOUND_VARIABLE_2306 BOUND_VARIABLE_1309) BOUND_VARIABLE_1308)) )) (not (ho_5 (ho_11 k_10 skv_14) BOUND_VARIABLE_1334)) (not (forall ((BOUND_VARIABLE_1296 mu)) (not (ho_5 (ho_4 BOUND_VARIABLE_2295 BOUND_VARIABLE_1296) BOUND_VARIABLE_1334)) ))) ) 40.53/40.92 ( skv_50 skv_51 ) 40.53/40.92 ) 40.53/40.92 (skolem (forall ((BOUND_VARIABLE_2334 |u_(-> mu $$unsorted Bool)|)) (or (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2334) skv_14)) (ho_5 (ho_4 BOUND_VARIABLE_2334 skv_19) skv_14)) ) 40.53/40.92 ( skv_52 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((BOUND_VARIABLE_2159 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_2147 mu) (BOUND_VARIABLE_2148 $$unsorted)) (= (ho_5 (ho_4 (ho_7 k_6 BOUND_VARIABLE_2159) BOUND_VARIABLE_2147) BOUND_VARIABLE_2148) (not (ho_5 (ho_4 BOUND_VARIABLE_2159 BOUND_VARIABLE_2147) BOUND_VARIABLE_2148))) ) 40.53/40.92 ( skv_16, skv_15, skv_14 ) 40.53/40.92 ( skv_16, skv_19, skv_14 ) 40.53/40.92 ( skv_17, skv_15, skv_14 ) 40.53/40.92 ( skv_17, skv_19, skv_14 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((BOUND_VARIABLE_1407 $$unsorted) (BOUND_VARIABLE_2184 |u_(-> mu $$unsorted Bool)|)) (= (ho_5 (ho_9 k_8 (ho_7 k_6 BOUND_VARIABLE_2184)) BOUND_VARIABLE_1407) (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2184) BOUND_VARIABLE_1407))) ) 40.53/40.92 ( skv_14, skv_16 ) 40.53/40.92 ( skv_14, skv_17 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((BOUND_VARIABLE_1641 $$unsorted) (BOUND_VARIABLE_2205 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_2200 |u_(-> mu $$unsorted Bool)|)) (or (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2205) BOUND_VARIABLE_1641)) (not (forall ((BOUND_VARIABLE_1649 $$unsorted) (BOUND_VARIABLE_1650 mu)) (or (not (ho_5 (ho_11 k_10 BOUND_VARIABLE_1641) BOUND_VARIABLE_1649)) (not (ho_5 (ho_4 BOUND_VARIABLE_2205 BOUND_VARIABLE_1650) BOUND_VARIABLE_1649)) (ho_5 (ho_4 BOUND_VARIABLE_2200 BOUND_VARIABLE_1650) BOUND_VARIABLE_1649)) )) (ho_5 (ho_9 k_8 BOUND_VARIABLE_2200) BOUND_VARIABLE_1641)) ) 40.53/40.92 ( skv_14, skv_16, skv_17 ) 40.53/40.92 ( skv_14, skv_17, skv_17 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((BOUND_VARIABLE_1739 $$unsorted) (BOUND_VARIABLE_2228 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_1744 $$unsorted)) (let ((_let_0 (ho_9 k_8 BOUND_VARIABLE_2228))) (or (not (ho_5 _let_0 BOUND_VARIABLE_1739)) (not (ho_5 (ho_11 k_10 BOUND_VARIABLE_1739) BOUND_VARIABLE_1744)) (ho_5 _let_0 BOUND_VARIABLE_1744))) ) 40.53/40.92 ( skv_14, skv_16, skv_18 ) 40.53/40.92 ( skv_14, skv_17, skv_14 ) 40.53/40.92 ( skv_14, skv_17, skv_18 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((BOUND_VARIABLE_1759 $$unsorted)) (ho_5 (ho_9 k_8 k_12) BOUND_VARIABLE_1759) ) 40.53/40.92 ( skv_14 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((BOUND_VARIABLE_1767 $$unsorted)) (ho_5 (ho_9 k_8 k_13) BOUND_VARIABLE_1767) ) 40.53/40.92 ( skv_14 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((X mu) (__flatten_var_0 $$unsorted)) (= (ho_5 (ho_4 k_12 X) __flatten_var_0) (forall ((BOUND_VARIABLE_2295 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_1334 $$unsorted)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_2295 X) __flatten_var_0)) (not (forall ((BOUND_VARIABLE_2306 |u_(-> mu $$unsorted Bool)|) (BOUND_VARIABLE_1308 $$unsorted) (BOUND_VARIABLE_1309 mu)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_2306 X) __flatten_var_0)) (not (ho_5 (ho_11 k_10 __flatten_var_0) BOUND_VARIABLE_1308)) (not (ho_5 (ho_4 BOUND_VARIABLE_2295 BOUND_VARIABLE_1309) BOUND_VARIABLE_1308)) (ho_5 (ho_4 BOUND_VARIABLE_2306 BOUND_VARIABLE_1309) BOUND_VARIABLE_1308)) )) (not (ho_5 (ho_11 k_10 __flatten_var_0) BOUND_VARIABLE_1334)) (not (forall ((BOUND_VARIABLE_1296 mu)) (not (ho_5 (ho_4 BOUND_VARIABLE_2295 BOUND_VARIABLE_1296) BOUND_VARIABLE_1334)) ))) )) ) 40.53/40.92 ( skv_15, skv_14 ) 40.53/40.92 ( skv_19, skv_14 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((X mu) (__flatten_var_0 $$unsorted)) (= (ho_5 (ho_4 k_13 X) __flatten_var_0) (forall ((BOUND_VARIABLE_2334 |u_(-> mu $$unsorted Bool)|)) (or (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2334) __flatten_var_0)) (ho_5 (ho_4 BOUND_VARIABLE_2334 X) __flatten_var_0)) )) ) 40.53/40.92 ( skv_15, skv_14 ) 40.53/40.92 ( skv_19, skv_14 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((x |u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)|) (y |u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)|)) (or (not (forall ((z |u_(-> mu $$unsorted Bool)|)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) ) 40.53/40.92 ( |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21|, |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21| ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) ) 40.53/40.92 ( (ho_9 k_8 skv_16), (ho_4 skv_17 skv_19) ) 40.53/40.92 ( (ho_4 skv_17 skv_19), (ho_9 k_8 skv_16) ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((x |u_(-> mu $$unsorted Bool)|) (y |u_(-> mu $$unsorted Bool)|)) (or (not (forall ((z mu)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) ) 40.53/40.92 ( skv_16, skv_17 ) 40.53/40.92 ( skv_17, skv_16 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((u |u_(-> _u_(-> mu $$unsorted Bool)_ $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i |u_(-> mu $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii))) )) )) ) 40.53/40.92 ( k_8, (ho_9 k_8 skv_16), skv_16 ) 40.53/40.92 ( k_8, (ho_9 k_8 skv_16), skv_17 ) 40.53/40.92 ( k_8, (ho_4 skv_17 skv_19), skv_16 ) 40.53/40.92 ( k_8, (ho_4 skv_17 skv_19), skv_17 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((u |u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)|) (e |u_(-> mu $$unsorted Bool)|) (i |u_(-> mu $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)|)) (not (forall ((ii |u_(-> mu $$unsorted Bool)|)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii))) )) )) ) 40.53/40.92 ( |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21|, skv_16, skv_16 ) 40.53/40.92 ( |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21|, skv_16, skv_17 ) 40.53/40.92 ( |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21|, skv_17, skv_16 ) 40.53/40.92 ( |e__u_(-> _u_(-> mu $$unsorted Bool)_ mu $$unsorted Bool)__21|, skv_17, skv_17 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii))) )) )) ) 40.53/40.92 ( (ho_9 k_8 skv_16), true, skv_14 ) 40.53/40.92 ( (ho_9 k_8 skv_16), false, skv_14 ) 40.53/40.92 ( (ho_4 skv_17 skv_19), true, skv_14 ) 40.53/40.92 ( (ho_4 skv_17 skv_19), false, skv_14 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_11 v ii) (ite (= i ii) e (ho_11 u ii))) )) )) ) 40.53/40.92 ( k_10, (ho_9 k_8 skv_16), skv_14 ) 40.53/40.92 ( k_10, (ho_4 skv_17 skv_19), skv_14 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((u |u_(-> mu $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i mu)) (not (forall ((v |u_(-> mu $$unsorted Bool)|)) (not (forall ((ii mu)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii))) )) )) ) 40.53/40.92 ( skv_16, (ho_9 k_8 skv_16), skv_15 ) 40.53/40.92 ( skv_16, (ho_9 k_8 skv_16), skv_19 ) 40.53/40.92 ( skv_16, (ho_4 skv_17 skv_19), skv_15 ) 40.53/40.92 ( skv_16, (ho_4 skv_17 skv_19), skv_19 ) 40.53/40.92 ( skv_17, (ho_9 k_8 skv_16), skv_15 ) 40.53/40.92 ( skv_17, (ho_9 k_8 skv_16), skv_19 ) 40.53/40.92 ( skv_17, (ho_4 skv_17 skv_19), skv_15 ) 40.53/40.92 ( skv_17, (ho_4 skv_17 skv_19), skv_19 ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((BOUND_VARIABLE_2279 |u_(-> mu $$unsorted Bool)|)) (or (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2279) skv_14)) (ho_5 (ho_4 BOUND_VARIABLE_2279 skv_15) skv_14)) ) 40.53/40.92 ( k_12 ) 40.53/40.92 ( skv_16 ) 40.53/40.92 ( (ho_7 k_6 skv_17) ) 40.53/40.92 ) 40.53/40.92 (instantiation (forall ((BOUND_VARIABLE_2252 |u_(-> mu $$unsorted Bool)|)) (or (not (ho_5 (ho_9 k_8 BOUND_VARIABLE_2252) skv_18)) (ho_5 (ho_4 BOUND_VARIABLE_2252 skv_19) skv_18)) ) 40.53/40.92 ( k_12 ) 40.53/40.92 ( k_13 ) 40.53/40.92 ( skv_16 ) 40.53/40.92 ( skv_17 ) 40.53/40.92 ) 40.53/40.92 % SZS output end Proof for theBenchmark 40.53/40.92 EOF