0.02/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.04	% Command    : do_CVC4 %s
0.03/0.23	% Computer   : n012.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.03/0.23	% DateTime   : Sat Jul 14 04:50:24 CDT 2018
0.03/0.23	% CPUTime    : 
0.07/0.27	%----Proving with arithmetic mode
0.07/0.27	------- cvc4-tfa casc j9 : /export/starexec/sandbox2/benchmark/theBenchmark.p at ...
0.07/0.27	--- Run --cbqi-all --purify-triggers --full-saturate-quant at 15...
0.07/0.44	% SZS status Theorem for theBenchmark
0.07/0.44	% SZS output start Proof for theBenchmark
0.07/0.44	(skolem (let ((_let_0 (size T))) (let ((_let_1 (= empty T))) (let ((_let_2 (>= _let_0 0))) (let ((_let_3 (not (= empty BOUND_VARIABLE_1195)))) (let ((_let_4 (max BOUND_VARIABLE_1196 BOUND_VARIABLE_1194))) (let ((_let_5 (not (= empty BOUND_VARIABLE_1193)))) (let ((_let_6 (>= (+ _let_0 (* (- 1) (size BOUND_VARIABLE_1193))) 1))) (let ((_let_7 (>= (+ _let_0 (* (- 1) (size BOUND_VARIABLE_1195))) 1))) (let ((_let_8 (max BOUND_VARIABLE_1203 (max BOUND_VARIABLE_1194 BOUND_VARIABLE_1202)))) (let ((_let_9 (max BOUND_VARIABLE_1208 BOUND_VARIABLE_1194))) (forall ((T tree) (BOUND_VARIABLE_1193 tree) (BOUND_VARIABLE_1194 Int) (BOUND_VARIABLE_1195 tree) (BOUND_VARIABLE_1196 Int) (BOUND_VARIABLE_1197 Int) (BOUND_VARIABLE_1198 tree) (BOUND_VARIABLE_1199 Int) (BOUND_VARIABLE_1200 tree) (BOUND_VARIABLE_1201 Int) (BOUND_VARIABLE_1202 Int) (BOUND_VARIABLE_1203 Int) (BOUND_VARIABLE_1204 Int) (BOUND_VARIABLE_1205 tree) (BOUND_VARIABLE_1206 Int) (BOUND_VARIABLE_1207 tree) (BOUND_VARIABLE_1208 Int) (BOUND_VARIABLE_1209 Int) (BOUND_VARIABLE_1210 tree) (BOUND_VARIABLE_1211 Int) (BOUND_VARIABLE_1212 tree)) (or _let_1 (and (or (not (= T (node BOUND_VARIABLE_1193 BOUND_VARIABLE_1194 BOUND_VARIABLE_1195))) (and (or _let_3 (and (or (and _let_2 (or (not (mem BOUND_VARIABLE_1196 BOUND_VARIABLE_1193)) (not (forall ((X3 Int)) (or (not (mem X3 BOUND_VARIABLE_1193)) (not (>= (+ X3 (* (- 1) BOUND_VARIABLE_1196)) 1))) )) (and (or (not (mem BOUND_VARIABLE_1197 T)) (not (>= (+ BOUND_VARIABLE_1197 (* (- 1) _let_4)) 1))) (mem _let_4 T))) _let_5 _let_6) (not (= BOUND_VARIABLE_1193 (node BOUND_VARIABLE_1198 BOUND_VARIABLE_1199 BOUND_VARIABLE_1200)))) (or _let_5 (and (or (not (mem BOUND_VARIABLE_1201 T)) (>= (+ BOUND_VARIABLE_1194 (* (- 1) BOUND_VARIABLE_1201)) 0)) (mem BOUND_VARIABLE_1194 T))))) (or (and (or (and _let_7 (or (not (forall ((X3 Int)) (or (not (mem X3 BOUND_VARIABLE_1195)) (not (>= (+ X3 (* (- 1) BOUND_VARIABLE_1202)) 1))) )) (not (mem BOUND_VARIABLE_1202 BOUND_VARIABLE_1195)) (and _let_2 _let_6 (or (not (mem BOUND_VARIABLE_1203 BOUND_VARIABLE_1193)) (not (forall ((X3 Int)) (or (not (mem X3 BOUND_VARIABLE_1193)) (not (>= (+ X3 (* (- 1) BOUND_VARIABLE_1203)) 1))) )) (and (or (not (mem BOUND_VARIABLE_1204 T)) (not (>= (+ BOUND_VARIABLE_1204 (* (- 1) _let_8)) 1))) (mem _let_8 T))) _let_5)) _let_3 _let_2) (not (= BOUND_VARIABLE_1193 (node BOUND_VARIABLE_1205 BOUND_VARIABLE_1206 BOUND_VARIABLE_1207)))) (or _let_5 (and _let_3 (or (not (mem BOUND_VARIABLE_1208 BOUND_VARIABLE_1195)) (not (forall ((X3 Int)) (or (not (mem X3 BOUND_VARIABLE_1195)) (not (>= (+ X3 (* (- 1) BOUND_VARIABLE_1208)) 1))) )) (and (mem _let_9 T) (or (not (mem BOUND_VARIABLE_1209 T)) (not (>= (+ BOUND_VARIABLE_1209 (* (- 1) _let_9)) 1))))) _let_7 _let_2))) (not (= BOUND_VARIABLE_1195 (node BOUND_VARIABLE_1210 BOUND_VARIABLE_1211 BOUND_VARIABLE_1212)))))) (not _let_1))) )))))))))))
0.07/0.44	  ( skv_37 skv_38 skv_39 skv_40 skv_41 skv_42 skv_43 skv_44 skv_45 skv_46 skv_47 skv_48 skv_49 skv_50 skv_51 skv_52 skv_53 skv_54 skv_55 skv_56 skv_57 )
0.07/0.44	)
0.07/0.44	(skolem (forall ((X3 Int)) (or (not (mem X3 skv_38)) (not (>= (+ X3 (* (- 1) skv_41)) 1))) )
0.07/0.44	  ( skv_62 )
0.07/0.44	)
0.07/0.44	(skolem (forall ((X3 Int)) (or (not (mem X3 skv_38)) (not (>= (+ X3 (* (- 1) skv_48)) 1))) )
0.07/0.44	  ( skv_63 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((U tree) (U1 Int) (U2 tree)) (= U1 (node_proj_2 (node U U1 U2))) )
0.07/0.44	  ( skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_55, skv_56, skv_57 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((U tree) (U1 Int) (U2 tree)) (= U (node_proj_1 (node U U1 U2))) )
0.07/0.44	  ( skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_55, skv_56, skv_57 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((T tree)) (>= (size T) 0) )
0.07/0.44	  ( empty )
0.07/0.44	  ( skv_37 )
0.07/0.44	  ( skv_38 )
0.07/0.44	  ( skv_40 )
0.07/0.44	  ( skv_43 )
0.07/0.44	  ( skv_45 )
0.07/0.44	  ( skv_50 )
0.07/0.44	  ( skv_52 )
0.07/0.44	  ( skv_55 )
0.07/0.44	  ( skv_57 )
0.07/0.44	  ( (node skv_43 skv_44 skv_45) )
0.07/0.44	  ( (node skv_50 skv_51 skv_52) )
0.07/0.44	  ( (node skv_55 skv_56 skv_57) )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X tree) (X1 Int) (X2 tree)) (= (size X) (+ (- 1) (* (- 1) (size X2)) (size (node X X1 X2)))) )
0.07/0.44	  ( skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_55, skv_56, skv_57 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((U tree) (U1 Int) (U2 tree)) (= U2 (node_proj_3 (node U U1 U2))) )
0.07/0.44	  ( skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_55, skv_56, skv_57 )
0.07/0.44	)
0.07/0.44	(instantiation (let ((_let_0 (max X Y))) (forall ((X Int) (Y Int)) (or (= X _let_0) (= Y _let_0)) ))
0.07/0.44	  ( skv_39, skv_47 )
0.07/0.44	  ( skv_41, skv_39 )
0.07/0.44	  ( skv_48, (max skv_39 skv_47) )
0.07/0.44	  ( skv_53, skv_39 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X Int) (Y Int)) (or (not (>= (+ X (* (- 1) Y)) 0)) (= X (max X Y))) )
0.07/0.44	  ( skv_39, skv_41 )
0.07/0.44	  ( skv_47, skv_39 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X Int) (Y Int)) (or (not (>= (+ X (* (- 1) Y)) 0)) (= (max X Y) (max Y X))) )
0.07/0.44	  ( skv_39, skv_41 )
0.07/0.44	  ( skv_39, skv_47 )
0.07/0.44	  ( skv_39, skv_53 )
0.07/0.44	  ( skv_41, skv_39 )
0.07/0.44	  ( skv_47, skv_39 )
0.07/0.44	  ( skv_48, (max skv_39 skv_47) )
0.07/0.44	  ( skv_53, skv_39 )
0.07/0.44	  ( (max skv_39 skv_47), skv_48 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((V tree) (V1 Int) (V2 tree)) (not (= empty (node V V1 V2))) )
0.07/0.44	  ( skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_55, skv_56, skv_57 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X Int) (Y Int)) (or (>= (+ X (* (- 1) Y)) 1) (= Y (max X Y))) )
0.07/0.44	  ( skv_39, skv_47 )
0.07/0.44	  ( skv_41, skv_39 )
0.07/0.44	  ( skv_48, (max skv_39 skv_47) )
0.07/0.44	  ( skv_53, skv_39 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X Int) (X1 tree) (X2 Int) (X3 tree)) (= (mem X (node X1 X2 X3)) (or (mem X X3) (= X X2) (mem X X1))) )
0.07/0.44	  ( skv_39, skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_41, skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_41, skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_42, skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_42, skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_42, skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_42, skv_55, skv_56, skv_57 )
0.07/0.44	  ( skv_46, skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_46, skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_46, skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_46, skv_55, skv_56, skv_57 )
0.07/0.44	  ( skv_47, skv_55, skv_56, skv_57 )
0.07/0.44	  ( skv_48, skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_49, skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_49, skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_49, skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_49, skv_55, skv_56, skv_57 )
0.07/0.44	  ( skv_53, skv_55, skv_56, skv_57 )
0.07/0.44	  ( skv_54, skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_54, skv_43, skv_44, skv_45 )
0.07/0.44	  ( skv_54, skv_50, skv_51, skv_52 )
0.07/0.44	  ( skv_54, skv_55, skv_56, skv_57 )
0.07/0.44	  ( (max skv_41 skv_39), skv_38, skv_39, skv_40 )
0.07/0.44	  ( (max skv_41 skv_39), skv_55, skv_56, skv_57 )
0.07/0.44	  ( (max skv_48 (max skv_39 skv_47)), skv_38, skv_39, skv_40 )
0.07/0.44	  ( (max skv_53 skv_39), skv_38, skv_39, skv_40 )
0.07/0.44	  ( skv_62, skv_50, skv_51, skv_52 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X Int)) (not (mem X empty)) )
0.07/0.44	  ( skv_42 )
0.07/0.44	  ( skv_46 )
0.07/0.44	  ( skv_47 )
0.07/0.44	  ( skv_48 )
0.07/0.44	  ( skv_54 )
0.07/0.44	  ( (max skv_53 skv_39) )
0.07/0.44	  ( skv_62 )
0.07/0.44	  ( skv_63 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X Int) (Y Int)) (not (>= (+ Y (* (- 1) (max X Y))) 1)) )
0.07/0.44	  ( skv_39, skv_41 )
0.07/0.44	  ( skv_39, skv_47 )
0.07/0.44	  ( skv_41, skv_39 )
0.07/0.44	  ( skv_47, skv_39 )
0.07/0.44	  ( skv_48, (max skv_39 skv_47) )
0.07/0.44	  ( skv_53, skv_39 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X Int) (Y Int)) (not (>= (+ X (* (- 1) (max X Y))) 1)) )
0.07/0.44	  ( skv_39, skv_41 )
0.07/0.44	  ( skv_39, skv_47 )
0.07/0.44	  ( skv_41, skv_39 )
0.07/0.44	  ( skv_47, skv_39 )
0.07/0.44	  ( skv_48, (max skv_39 skv_47) )
0.07/0.44	  ( skv_53, skv_39 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X3 Int)) (or (not (mem X3 skv_38)) (not (>= (+ X3 (* (- 1) skv_41)) 1))) )
0.07/0.44	  ( skv_41 )
0.07/0.44	  ( skv_42 )
0.07/0.44	  ( (max skv_53 skv_39) )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X3 Int)) (or (not (mem X3 skv_40)) (not (>= (+ X3 (* (- 1) skv_47)) 1))) )
0.07/0.44	  ( skv_47 )
0.07/0.44	  ( skv_49 )
0.07/0.44	  ( skv_53 )
0.07/0.44	  ( skv_54 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X3 Int)) (or (not (mem X3 skv_38)) (not (>= (+ X3 (* (- 1) skv_48)) 1))) )
0.07/0.44	  ( skv_41 )
0.07/0.44	  ( skv_48 )
0.07/0.44	  ( skv_49 )
0.07/0.44	  ( (max skv_53 skv_39) )
0.07/0.44	  ( skv_62 )
0.07/0.44	)
0.07/0.44	(instantiation (forall ((X3 Int)) (or (not (mem X3 skv_40)) (not (>= (+ X3 (* (- 1) skv_53)) 1))) )
0.07/0.44	  ( skv_47 )
0.07/0.44	  ( skv_53 )
0.07/0.44	  ( skv_54 )
0.07/0.44	)
0.07/0.44	% SZS output end Proof for theBenchmark
0.07/0.45	EOF