0.08/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : do_CVC4 %s %d 0.09/0.30 % Computer : n031.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 06:59:47 EDT 2020 0.09/0.30 % CPUTime : 0.14/0.40 %----Proving TH0 0.14/0.41 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.14/0.41 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 20.22/20.43 --- Run --uf-ho --ho-elim --full-saturate-quant at 20... 40.26/40.45 --- Run --uf-ho --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 45.27/45.47 --- Run --uf-ho --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5... 50.26/50.52 --- Run --uf-ho --no-ho-matching --full-saturate-quant --fs-interleave --ho-elim-store-ax at 30... 50.34/50.59 % SZS status Theorem for theBenchmark 50.34/50.59 % SZS output start Proof for theBenchmark 50.34/50.59 (skolem (forall ((R (-> a a a Bool))) (let ((_let_0 (cP y z))) (or (not (forall ((Xa a) (Xb a) (Xc a) (BOUND_VARIABLE_645 a) (BOUND_VARIABLE_646 a) (BOUND_VARIABLE_647 a) (BOUND_VARIABLE_648 a) (BOUND_VARIABLE_649 a) (BOUND_VARIABLE_650 a)) (or (and (or (not (= c0 Xb)) (not (= Xa Xc))) (or (not (= Xc (cP BOUND_VARIABLE_649 BOUND_VARIABLE_650))) (not (R BOUND_VARIABLE_645 BOUND_VARIABLE_647 BOUND_VARIABLE_649)) (not (R BOUND_VARIABLE_646 BOUND_VARIABLE_648 BOUND_VARIABLE_650)) (not (= Xb (cP BOUND_VARIABLE_647 BOUND_VARIABLE_648))) (not (= Xa (cP BOUND_VARIABLE_645 BOUND_VARIABLE_646)))) (or (not (= c0 Xa)) (not (= Xb Xc)))) (R Xa Xb Xc)) )) (R (cP x w) _let_0 _let_0))) ) 50.34/50.59 ( skv_1 ) 50.34/50.59 ) 50.34/50.59 (skolem (forall ((v (-> a a a Bool))) (not (forall ((ii a)) (= (v ii) (ite (= z ii) (skv_1 (cP x w)) (skv_1 ii))) )) ) 50.34/50.59 ( skv_18 ) 50.34/50.59 ) 50.34/50.59 (skolem (forall ((Xa a) (Xb a) (Xc a) (BOUND_VARIABLE_526 a) (BOUND_VARIABLE_527 a) (BOUND_VARIABLE_528 a) (BOUND_VARIABLE_529 a) (BOUND_VARIABLE_530 a) (BOUND_VARIABLE_531 a)) (or (and (or (not (= c0 Xb)) (not (= Xa Xc))) (or (not (= Xa (cP BOUND_VARIABLE_526 BOUND_VARIABLE_527))) (not (= Xb (cP BOUND_VARIABLE_528 BOUND_VARIABLE_529))) (not (skv_1 BOUND_VARIABLE_526 BOUND_VARIABLE_528 BOUND_VARIABLE_530)) (not (skv_1 BOUND_VARIABLE_527 BOUND_VARIABLE_529 BOUND_VARIABLE_531)) (not (= Xc (cP BOUND_VARIABLE_530 BOUND_VARIABLE_531)))) (or (not (= c0 Xa)) (not (= Xb Xc)))) (skv_1 Xa Xb Xc)) ) 50.34/50.59 ( skv_19 skv_20 skv_21 skv_22 skv_23 skv_24 skv_25 skv_26 skv_27 ) 50.34/50.59 ) 50.34/50.59 (skolem (forall ((Xa a) (Xb a) (Xc a) (BOUND_VARIABLE_585 a) (BOUND_VARIABLE_586 a) (BOUND_VARIABLE_587 a) (BOUND_VARIABLE_588 a) (BOUND_VARIABLE_589 a) (BOUND_VARIABLE_590 a)) (or (and (or (not (= Xb Xc)) (not (= c0 Xa))) (or (not (= Xa Xc)) (not (= c0 Xb))) (or (not (skv_1 BOUND_VARIABLE_586 BOUND_VARIABLE_588 BOUND_VARIABLE_590)) (not (skv_1 BOUND_VARIABLE_585 BOUND_VARIABLE_587 BOUND_VARIABLE_589)) (not (= Xc (cP BOUND_VARIABLE_589 BOUND_VARIABLE_590))) (not (= Xb (cP BOUND_VARIABLE_587 BOUND_VARIABLE_588))) (not (= Xa (cP BOUND_VARIABLE_585 BOUND_VARIABLE_586))))) (skv_1 Xa Xb Xc)) ) 50.34/50.59 ( skv_28 skv_29 skv_30 skv_31 skv_32 skv_33 skv_34 skv_35 skv_36 ) 50.34/50.59 ) 50.34/50.59 (instantiation (forall ((R (-> a a a Bool))) (or (not (forall ((Xa a) (Xb a) (Xc a) (BOUND_VARIABLE_526 a) (BOUND_VARIABLE_527 a) (BOUND_VARIABLE_528 a) (BOUND_VARIABLE_529 a) (BOUND_VARIABLE_530 a) (BOUND_VARIABLE_531 a)) (or (and (or (not (= c0 Xb)) (not (= Xa Xc))) (or (not (= Xa (cP BOUND_VARIABLE_526 BOUND_VARIABLE_527))) (not (= Xb (cP BOUND_VARIABLE_528 BOUND_VARIABLE_529))) (not (R BOUND_VARIABLE_526 BOUND_VARIABLE_528 BOUND_VARIABLE_530)) (not (R BOUND_VARIABLE_527 BOUND_VARIABLE_529 BOUND_VARIABLE_531)) (not (= Xc (cP BOUND_VARIABLE_530 BOUND_VARIABLE_531)))) (or (not (= c0 Xa)) (not (= Xb Xc)))) (R Xa Xb Xc)) )) (R x y y)) ) 50.34/50.59 ( skv_1 ) 50.34/50.59 ) 50.34/50.59 (instantiation (forall ((R (-> a a a Bool))) (or (not (forall ((Xa a) (Xb a) (Xc a) (BOUND_VARIABLE_585 a) (BOUND_VARIABLE_586 a) (BOUND_VARIABLE_587 a) (BOUND_VARIABLE_588 a) (BOUND_VARIABLE_589 a) (BOUND_VARIABLE_590 a)) (or (and (or (not (= Xb Xc)) (not (= c0 Xa))) (or (not (= Xa Xc)) (not (= c0 Xb))) (or (not (R BOUND_VARIABLE_586 BOUND_VARIABLE_588 BOUND_VARIABLE_590)) (not (R BOUND_VARIABLE_585 BOUND_VARIABLE_587 BOUND_VARIABLE_589)) (not (= Xc (cP BOUND_VARIABLE_589 BOUND_VARIABLE_590))) (not (= Xb (cP BOUND_VARIABLE_587 BOUND_VARIABLE_588))) (not (= Xa (cP BOUND_VARIABLE_585 BOUND_VARIABLE_586))))) (R Xa Xb Xc)) )) (R w z z)) ) 50.34/50.59 ( skv_1 ) 50.34/50.59 ) 50.34/50.59 (instantiation (forall ((u (-> a a a Bool)) (e (-> a a Bool)) (i a)) (not (forall ((v (-> a a a Bool))) (not (forall ((ii a)) (= (v ii) (ite (= i ii) e (u ii))) )) )) ) 50.34/50.59 ( skv_1, (skv_1 (cP x w)), z ) 50.34/50.59 ) 50.34/50.59 (instantiation (forall ((Xa a) (Xb a) (Xc a) (BOUND_VARIABLE_645 a) (BOUND_VARIABLE_646 a) (BOUND_VARIABLE_647 a) (BOUND_VARIABLE_648 a) (BOUND_VARIABLE_649 a) (BOUND_VARIABLE_650 a)) (or (and (or (not (= c0 Xb)) (not (= Xa Xc))) (or (not (= Xc (cP BOUND_VARIABLE_649 BOUND_VARIABLE_650))) (not (skv_1 BOUND_VARIABLE_645 BOUND_VARIABLE_647 BOUND_VARIABLE_649)) (not (skv_1 BOUND_VARIABLE_646 BOUND_VARIABLE_648 BOUND_VARIABLE_650)) (not (= Xb (cP BOUND_VARIABLE_647 BOUND_VARIABLE_648))) (not (= Xa (cP BOUND_VARIABLE_645 BOUND_VARIABLE_646)))) (or (not (= c0 Xa)) (not (= Xb Xc)))) (skv_1 Xa Xb Xc)) ) 50.34/50.59 ( z, z, z, z, z, z, z, z, z ) 50.34/50.59 ( z, z, z, z, y, z, y, z, y ) 50.34/50.59 ( z, z, z, z, w, z, w, z, w ) 50.34/50.59 ( z, z, z, y, z, y, z, y, z ) 50.34/50.59 ( z, z, z, y, z, y, z, y, y ) 50.34/50.59 ( y, y, y, z, z, z, z, z, z ) 50.34/50.59 ( y, y, y, z, z, z, z, z, y ) 50.34/50.59 ( y, y, y, y, z, y, z, y, z ) 50.34/50.59 ( y, y, y, (cP x w), (cP x w), (cP y z), (cP y z), (cP y z), (cP y z) ) 50.34/50.59 ( (cP x w), (cP y z), (cP y z), z, z, z, z, z, z ) 50.34/50.59 ( (cP x w), (cP y z), (cP y z), z, y, z, y, z, y ) 50.34/50.59 ( (cP x w), (cP y z), (cP y z), y, z, y, z, y, z ) 50.34/50.59 ( (cP x w), (cP y z), (cP y z), y, y, y, y, y, y ) 50.34/50.59 ( (cP x w), (cP y z), (cP y z), x, w, y, z, y, z ) 50.34/50.59 ( (cP x w), (cP y z), (cP y z), (cP x w), (cP x w), (cP y z), (cP y z), (cP y z), (cP y z) ) 50.34/50.59 ( skv_19, skv_20, skv_21, z, z, z, z, z, z ) 50.34/50.59 ( skv_19, skv_20, skv_21, skv_22, skv_23, skv_24, skv_25, skv_26, skv_27 ) 50.34/50.59 ( skv_28, skv_29, skv_30, z, z, z, z, z, z ) 50.34/50.59 ( skv_28, skv_29, skv_30, skv_31, skv_32, skv_33, skv_34, skv_35, skv_36 ) 50.34/50.59 ) 50.34/50.59 % SZS output end Proof for theBenchmark 50.34/50.60 EOF