0.06/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : do_CVC4 %s %d 0.12/0.35 % Computer : n006.cluster.edu 0.12/0.35 % Model : x86_64 x86_64 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.35 % Memory : 8042.1875MB 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.35 % CPULimit : 960 0.12/0.35 % WCLimit : 120 0.12/0.35 % DateTime : Thu Jul 2 08:52:15 EDT 2020 0.12/0.35 % CPUTime : 0.18/0.48 %----Proving TH0 0.18/0.49 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.18/0.49 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.41/0.61 % SZS status Theorem for theBenchmark 0.41/0.61 % SZS output start Proof for theBenchmark 0.41/0.61 (skolem (forall ((A_27a del) (V0s $$unsorted)) (or (not (ho_9 (ho_8 k_7 V0s) (ho_14 (ho_13 k_12 A_27a) bool))) (ho_16 k_15 (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_22 A_27a)) (ho_1 (ho_6 k_5 (ho_18 k_17 A_27a)) V0s))) V0s))) ) 0.41/0.61 ( skv_25 skv_26 ) 0.41/0.61 ) 0.41/0.61 (skolem (forall ((X $$unsorted)) (or (not (ho_9 (ho_8 k_7 X) bool)) (ho_16 k_15 (ho_1 (ho_6 k_5 c_2Ebool_2E_7E) X))) ) 0.41/0.61 ( skv_27 ) 0.41/0.61 ) 0.41/0.61 (skolem (forall ((X $$unsorted)) (or (not (ho_9 (ho_8 k_7 X) skv_25)) (ho_16 k_15 (ho_1 (ho_6 k_5 skv_26) X))) ) 0.41/0.61 ( skv_28 ) 0.41/0.61 ) 0.41/0.61 (skolem (forall ((V2x $$unsorted)) (let ((_let_0 (ho_18 k_21 skv_25))) (let ((_let_1 (ho_6 k_5 _let_0))) (let ((_let_2 (ho_1 _let_1 V2x))) (let ((_let_3 (ho_6 k_5 _let_2))) (or (not (ho_9 (ho_8 k_7 V2x) skv_25)) (not (ho_16 k_15 (ho_1 _let_3 (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26)))) (ho_16 k_15 (ho_1 _let_3 skv_26))))))) ) 0.41/0.61 ( skv_29 ) 0.41/0.61 ) 0.41/0.61 (skolem (forall ((X $$unsorted)) (or (not (ho_9 (ho_8 k_7 X) skv_25)) (ho_16 k_15 (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26)) X))) ) 0.41/0.61 ( skv_30 ) 0.41/0.61 ) 0.41/0.61 (skolem (forall ((X $$unsorted)) (or (not (ho_9 (ho_8 k_7 X) (ho_14 (ho_13 k_12 bool) bool))) (ho_16 k_15 (ho_1 (ho_6 k_5 (ho_18 k_19 bool)) X))) ) 0.41/0.61 ( skv_31 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((X Bool)) (ho_9 (ho_8 k_7 (ho_11 k_10 X)) bool) ) 0.41/0.61 ( BOOLEAN_TERM_VARIABLE_3693 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A del) (B del) (F $$unsorted) (BOUND_VARIABLE_1018 $$unsorted)) (let ((_let_0 (ho_13 k_12 A))) (let ((_let_1 (ho_14 _let_0 B))) (or (not (ho_9 (ho_8 k_7 F) _let_1)) (not (ho_9 (ho_8 k_7 BOUND_VARIABLE_1018) _let_1)) (not (forall ((X $$unsorted)) (or (not (ho_9 (ho_8 k_7 X) A)) (= (ho_1 (ho_6 k_5 BOUND_VARIABLE_1018) X) (ho_1 (ho_6 k_5 F) X))) )) (= F BOUND_VARIABLE_1018)))) ) 0.41/0.61 ( bool, bool, c_2Ebool_2E_7E, c_2Emin_2E_3D_3D_3E ) 0.41/0.61 ( bool, bool, c_2Ebool_2E_7E, c_2Ebool_2E_2F_5C ) 0.41/0.61 ( bool, (ho_14 (ho_13 k_12 bool) bool), c_2Ebool_2E_2F_5C, c_2Ebool_2E_7E ) 0.41/0.61 ( bool, (ho_14 (ho_13 k_12 bool) bool), c_2Ebool_2E_2F_5C, skv_26 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool), bool, (ho_18 k_17 skv_25), (ho_18 k_17 bool) ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool), (ho_14 (ho_13 k_12 bool) bool), (ho_18 k_23 skv_25), (ho_18 k_23 bool) ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool), (let ((_let_0 (ho_13 k_12 bool))) (ho_14 _let_0 (ho_14 _let_0 bool))), (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_22 skv_25)) (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26))) skv_26), (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26) ) 0.41/0.61 ( skv_25, bool, c_2Emin_2E_3D_3D_3E, skv_26 ) 0.41/0.61 ( skv_25, bool, skv_26, c_2Ebool_2E_2F_5C ) 0.41/0.61 ( skv_25, (ho_14 (ho_13 k_12 skv_25) bool), c_2Emin_2E_3D_3D_3E, c_2Ebool_2E_7E ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), bool, (ho_18 k_20 bool), (ho_18 k_20 skv_25) ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), skv_25, (ho_18 k_17 bool), (ho_18 k_17 skv_25) ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), (ho_14 (ho_13 k_12 skv_25) bool), (ho_18 k_23 bool), (ho_18 k_23 skv_25) ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), (let ((_let_0 (ho_13 k_12 skv_25))) (ho_14 _let_0 (ho_14 _let_0 bool))), (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26), (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_22 skv_25)) (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26))) skv_26) ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), (ho_14 (ho_13 k_12 (ho_14 (ho_13 k_12 skv_25) bool)) bool), (ho_18 k_20 skv_25), (ho_18 k_20 bool) ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((X $$unsorted)) (or (not (ho_9 (ho_8 k_7 X) bool)) (= X (ho_11 k_10 (ho_16 k_15 X)))) ) 0.41/0.61 ( c_2Emin_2E_3D_3D_3E ) 0.41/0.61 ( c_2Ebool_2E_7E ) 0.41/0.61 ( c_2Ebool_2E_2F_5C ) 0.41/0.61 ( skv_26 ) 0.41/0.61 ( (ho_18 k_22 skv_25) ) 0.41/0.61 ( (ho_18 k_17 skv_25) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_22 skv_25)) (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26))) skv_26) ) 0.41/0.61 ( (ho_18 k_20 skv_25) ) 0.41/0.61 ( (ho_18 k_19 skv_25) ) 0.41/0.61 ( (ho_18 k_17 bool) ) 0.41/0.61 ( (ho_18 k_20 bool) ) 0.41/0.61 ( (ho_18 k_19 bool) ) 0.41/0.61 ( (ho_18 k_23 bool) ) 0.41/0.61 ( (ho_18 k_23 skv_25) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 c_2Ebool_2E_7E) c_2Emin_2E_3D_3D_3E) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 c_2Ebool_2E_7E) c_2Ebool_2E_7E) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 c_2Ebool_2E_7E) c_2Ebool_2E_2F_5C) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 c_2Ebool_2E_7E) skv_26) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 (ho_18 k_24 bool)) c_2Ebool_2E_7E) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 (ho_18 k_24 skv_25)) skv_26) ) 0.41/0.61 ( skv_27 ) 0.41/0.61 ( (ho_1 (ho_6 k_5 c_2Ebool_2E_7E) skv_27) ) 0.41/0.61 ( skv_28 ) 0.41/0.61 ( (ho_1 (ho_6 k_5 skv_26) skv_28) ) 0.41/0.61 ( skv_29 ) 0.41/0.61 ( (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_21 skv_25)) skv_29)) (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26)) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_21 skv_25)) skv_29)) skv_26) ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A del) (B del) (F $$unsorted) (BOUND_VARIABLE_1049 $$unsorted)) (or (not (ho_9 (ho_8 k_7 F) (ho_14 (ho_13 k_12 A) B))) (not (ho_9 (ho_8 k_7 BOUND_VARIABLE_1049) A)) (ho_9 (ho_8 k_7 (ho_1 (ho_6 k_5 F) BOUND_VARIABLE_1049)) B)) ) 0.41/0.61 ( bool, bool, c_2Ebool_2E_7E, skv_27 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool), bool, (ho_18 k_24 bool), c_2Ebool_2E_7E ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool), (let ((_let_0 (ho_13 k_12 bool))) (ho_14 _let_0 (ho_14 _let_0 bool))), (ho_18 k_20 bool), c_2Ebool_2E_7E ) 0.41/0.61 ( skv_25, bool, skv_26, skv_28 ) 0.41/0.61 ( skv_25, bool, (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26), skv_29 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), skv_25, (ho_18 k_19 skv_25), skv_26 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), (ho_14 (ho_13 k_12 skv_25) bool), (ho_18 k_17 skv_25), skv_26 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), (ho_14 (ho_13 k_12 skv_25) bool), (ho_18 k_17 skv_25), (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26) ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool), (let ((_let_0 (ho_13 k_12 skv_25))) (ho_14 _let_0 (ho_14 _let_0 bool))), (ho_18 k_20 skv_25), skv_26 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((X Bool)) (= (ho_16 k_15 (ho_11 k_10 X)) X) ) 0.41/0.61 ( BOOLEAN_TERM_VARIABLE_3693 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del) (V0s $$unsorted)) (or (not (ho_9 (ho_8 k_7 V0s) (ho_14 (ho_13 k_12 A_27a) bool))) (= (ho_1 (ho_6 k_5 (ho_18 k_17 A_27a)) V0s) (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_20 A_27a)) V0s)) (ho_1 (ho_6 k_5 (ho_18 k_19 A_27a)) V0s)))) ) 0.41/0.61 ( bool, c_2Ebool_2E_7E ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool), (ho_18 k_19 bool) ) 0.41/0.61 ( skv_25, skv_26 ) 0.41/0.61 ( skv_25, (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26) ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del) (V0s $$unsorted) (BOUND_VARIABLE_1090 $$unsorted)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 bool))) (or (not (ho_9 (ho_8 k_7 V0s) _let_1)) (not (ho_9 (ho_8 k_7 BOUND_VARIABLE_1090) _let_1)) (= (ho_16 k_15 (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_22 A_27a)) V0s)) BOUND_VARIABLE_1090)) (forall ((V2x $$unsorted)) (let ((_let_0 (ho_18 k_21 A_27a))) (let ((_let_1 (ho_6 k_5 _let_0))) (let ((_let_2 (ho_1 _let_1 V2x))) (let ((_let_3 (ho_6 k_5 _let_2))) (or (not (ho_9 (ho_8 k_7 V2x) A_27a)) (not (ho_16 k_15 (ho_1 _let_3 V0s))) (ho_16 k_15 (ho_1 _let_3 BOUND_VARIABLE_1090))))))) ))))) ) 0.41/0.61 ( skv_25, (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26), skv_26 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del)) (let ((_let_0 (ho_13 k_12 A_27a))) (ho_9 (ho_8 k_7 (ho_18 k_23 A_27a)) (ho_14 _let_0 (ho_14 _let_0 bool)))) ) 0.41/0.61 ( bool ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool) ) 0.41/0.61 ( skv_25 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool) ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del)) (ho_9 (ho_8 k_7 (ho_18 k_24 A_27a)) (ho_14 (ho_13 k_12 (ho_14 (ho_13 k_12 A_27a) bool)) bool)) ) 0.41/0.61 ( bool ) 0.41/0.61 ( skv_25 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del) (V0s $$unsorted) (BOUND_VARIABLE_1135 $$unsorted) (BOUND_VARIABLE_1136 $$unsorted)) (let ((_let_0 (ho_18 k_21 A_27a))) (let ((_let_1 (ho_6 k_5 _let_0))) (let ((_let_2 (ho_1 _let_1 BOUND_VARIABLE_1135))) (let ((_let_3 (ho_6 k_5 _let_2))) (or (not (ho_9 (ho_8 k_7 V0s) (ho_14 (ho_13 k_12 A_27a) bool))) (not (ho_9 (ho_8 k_7 BOUND_VARIABLE_1135) A_27a)) (not (ho_9 (ho_8 k_7 BOUND_VARIABLE_1136) A_27a)) (= (and (not (= BOUND_VARIABLE_1135 BOUND_VARIABLE_1136)) (ho_16 k_15 (ho_1 _let_3 V0s))) (ho_16 k_15 (ho_1 _let_3 (ho_1 (ho_6 k_5 (ho_1 (ho_6 k_5 (ho_18 k_20 A_27a)) V0s)) BOUND_VARIABLE_1136))))))))) ) 0.41/0.61 ( skv_25, skv_26, skv_29, (ho_1 (ho_6 k_5 (ho_18 k_19 skv_25)) skv_26) ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 bool))) (ho_9 (ho_8 k_7 (ho_18 k_20 A_27a)) (ho_14 (ho_13 k_12 _let_1) (ho_14 _let_0 _let_1))))) ) 0.41/0.61 ( bool ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool) ) 0.41/0.61 ( skv_25 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool) ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 bool))) (ho_9 (ho_8 k_7 (ho_18 k_17 A_27a)) (ho_14 (ho_13 k_12 _let_1) _let_1)))) ) 0.41/0.61 ( bool ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool) ) 0.41/0.61 ( skv_25 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool) ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del)) (let ((_let_0 (ho_13 k_12 A_27a))) (let ((_let_1 (ho_14 _let_0 bool))) (let ((_let_2 (ho_13 k_12 _let_1))) (ho_9 (ho_8 k_7 (ho_18 k_22 A_27a)) (ho_14 _let_2 (ho_14 _let_2 bool)))))) ) 0.41/0.61 ( bool ) 0.41/0.61 ( skv_25 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((Q $$unsorted)) (or (not (ho_9 (ho_8 k_7 Q) bool)) (= (ho_16 k_15 (ho_1 (ho_6 k_5 c_2Ebool_2E_7E) Q)) (not (ho_16 k_15 Q)))) ) 0.41/0.61 ( c_2Emin_2E_3D_3D_3E ) 0.41/0.61 ( c_2Ebool_2E_7E ) 0.41/0.61 ( c_2Ebool_2E_2F_5C ) 0.41/0.61 ( skv_26 ) 0.41/0.61 ( (ho_18 k_22 skv_25) ) 0.41/0.61 ( (ho_18 k_17 skv_25) ) 0.41/0.61 ( (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26) ) 0.41/0.61 ( (ho_18 k_20 skv_25) ) 0.41/0.61 ( (ho_18 k_19 skv_25) ) 0.41/0.61 ( (ho_18 k_17 bool) ) 0.41/0.61 ( (ho_18 k_20 bool) ) 0.41/0.61 ( (ho_18 k_19 bool) ) 0.41/0.61 ( (ho_18 k_23 bool) ) 0.41/0.61 ( (ho_18 k_23 skv_25) ) 0.41/0.61 ( skv_27 ) 0.41/0.61 ( skv_28 ) 0.41/0.61 ( skv_29 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del)) (let ((_let_0 (ho_13 k_12 A_27a))) (ho_9 (ho_8 k_7 (ho_18 k_21 A_27a)) (ho_14 _let_0 (ho_14 (ho_13 k_12 (ho_14 _let_0 bool)) bool)))) ) 0.41/0.61 ( bool ) 0.41/0.61 ( skv_25 ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A_27a del)) (ho_9 (ho_8 k_7 (ho_18 k_19 A_27a)) (ho_14 (ho_13 k_12 (ho_14 (ho_13 k_12 A_27a) bool)) A_27a)) ) 0.41/0.61 ( bool ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool) ) 0.41/0.61 ( skv_25 ) 0.41/0.61 ( (ho_14 (ho_13 k_12 skv_25) bool) ) 0.41/0.61 ) 0.41/0.61 (instantiation (forall ((A del) (Q $$unsorted)) (or (not (ho_9 (ho_8 k_7 Q) (ho_14 (ho_13 k_12 A) bool))) (= (ho_16 k_15 (ho_1 (ho_6 k_5 (ho_18 k_24 A)) Q)) (forall ((X $$unsorted)) (or (not (ho_9 (ho_8 k_7 X) A)) (ho_16 k_15 (ho_1 (ho_6 k_5 Q) X))) ))) ) 0.41/0.61 ( bool, c_2Ebool_2E_7E ) 0.41/0.61 ( (ho_14 (ho_13 k_12 bool) bool), (ho_18 k_19 bool) ) 0.41/0.61 ( skv_25, skv_26 ) 0.41/0.61 ( skv_25, (ho_1 (ho_6 k_5 (ho_18 k_17 skv_25)) skv_26) ) 0.41/0.61 ) 0.41/0.61 % SZS output end Proof for theBenchmark 0.41/0.62 EOF