0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : do_CVC4 %s
0.13/0.34	% Computer   : n012.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   : 180
0.13/0.34	% DateTime   : Thu Aug 29 09:55:27 EDT 2019
0.13/0.34	% CPUTime    : 
0.20/0.48	%----Proving TF0_ARI
0.20/0.48	------- cvc4-tfa casc 27 : /export/starexec/sandbox/benchmark/theBenchmark.p at 180...
0.20/0.48	--- Run --finite-model-find --decision=internal at 15...
15.46/15.67	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15...
30.51/30.72	--- Run --no-e-matching --full-saturate-quant at 15...
45.52/45.76	--- Run --cbqi-all --purify-triggers --full-saturate-quant at 15...
60.63/60.81	--- Run --macros-quant --macros-quant-mode=all --nl-ext-tplanes --full-saturate-quant...
60.65/61.05	% SZS status Theorem for theBenchmark
60.65/61.05	% SZS output start Proof for theBenchmark
60.65/61.05	(skolem (forall ((X Int) (Y Int) (Z Int)) (= (and (forall ((Z Int) (BOUND_VARIABLE_728 Int)) (let ((_let_0 (* (- 1) BOUND_VARIABLE_728))) (or (>= (+ Z (* (- 1) Z)) 0) (not (>= (+ Z (* (- 1) (summation BOUND_VARIABLE_728))) 0)) (>= (+ X _let_0) 1) (>= (+ Y _let_0) 1))) ) (not (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) (summation Z))) 0)) (not (>= (+ Z (* (- 1) X)) 0)) (not (>= (+ Z (* (- 1) Y)) 0))) ))) (and (>= (+ Z (* (- 1) (summation (max X Y)))) 0) (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) (summation (max X Y)))) 0)) (>= (+ Z (* (- 1) Z)) 0)) ))) )
60.65/61.05	  ( skv_16 skv_17 skv_18 )
60.65/61.05	)
60.65/61.05	(skolem (forall ((Z Int) (BOUND_VARIABLE_728 Int)) (or (>= (+ Z (* (- 1) skv_18)) 0) (not (>= (+ Z (* (- 1) (summation BOUND_VARIABLE_728))) 0)) (not (>= (+ BOUND_VARIABLE_728 (* (- 1) skv_16)) 0)) (not (>= (+ BOUND_VARIABLE_728 (* (- 1) skv_17)) 0))) )
60.65/61.05	  ( skv_20 skv_21 )
60.65/61.05	)
60.65/61.05	(skolem (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) (summation (max skv_16 skv_17)))) 0)) (>= (+ Z (* (- 1) skv_18)) 0)) )
60.65/61.05	  ( skv_22 )
60.65/61.05	)
60.65/61.05	(skolem (forall ((Z Int)) (or (not (>= (+ skv_18 (* (- 1) (summation Z))) 0)) (not (>= (+ Z (* (- 1) skv_16)) 0)) (not (>= (+ Z (* (- 1) skv_17)) 0))) )
60.65/61.05	  ( skv_23 )
60.65/61.05	)
60.65/61.05	(instantiation (forall ((X Int) (Y Int)) (or (not (>= (+ X (* (- 1) Y)) 0)) (= X (max X Y))) )
60.65/61.05	  ( skv_16, skv_16 )
60.65/61.05	  ( skv_16, skv_17 )
60.65/61.05	  ( skv_16, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_17, skv_16 )
60.65/61.05	  ( skv_17, skv_17 )
60.65/61.05	  ( skv_17, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_16 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_17 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), (summation (max skv_16 skv_17)) )
60.65/61.05	)
60.65/61.05	(instantiation (forall ((X Int) (Y Int)) (= (not (>= (+ (summation X) (* (- 1) (summation Y))) 1)) (not (>= (+ X (* (- 1) Y)) 1))) )
60.65/61.05	  ( skv_16, skv_16 )
60.65/61.05	  ( skv_16, skv_17 )
60.65/61.05	  ( skv_16, skv_18 )
60.65/61.05	  ( skv_16, (max skv_16 skv_17) )
60.65/61.05	  ( skv_16, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_16, skv_20 )
60.65/61.05	  ( skv_16, skv_21 )
60.65/61.05	  ( skv_16, (summation skv_21) )
60.65/61.05	  ( skv_16, skv_22 )
60.65/61.05	  ( skv_16, skv_23 )
60.65/61.05	  ( skv_16, (summation skv_23) )
60.65/61.05	  ( skv_17, skv_16 )
60.65/61.05	  ( skv_17, skv_17 )
60.65/61.05	  ( skv_17, skv_18 )
60.65/61.05	  ( skv_17, (max skv_16 skv_17) )
60.65/61.05	  ( skv_17, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_17, skv_20 )
60.65/61.05	  ( skv_17, skv_21 )
60.65/61.05	  ( skv_17, (summation skv_21) )
60.65/61.05	  ( skv_17, skv_22 )
60.65/61.05	  ( skv_17, skv_23 )
60.65/61.05	  ( skv_17, (summation skv_23) )
60.65/61.05	  ( skv_17, (summation skv_17) )
60.65/61.05	  ( skv_18, skv_16 )
60.65/61.05	  ( skv_18, skv_17 )
60.65/61.05	  ( skv_18, skv_18 )
60.65/61.05	  ( skv_18, (max skv_16 skv_17) )
60.65/61.05	  ( skv_18, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_18, skv_20 )
60.65/61.05	  ( skv_18, skv_21 )
60.65/61.05	  ( skv_18, (summation skv_21) )
60.65/61.05	  ( skv_18, skv_22 )
60.65/61.05	  ( skv_18, skv_23 )
60.65/61.05	  ( skv_18, (summation skv_23) )
60.65/61.05	  ( (max skv_16 skv_17), skv_16 )
60.65/61.05	  ( (max skv_16 skv_17), skv_17 )
60.65/61.05	  ( (max skv_16 skv_17), skv_18 )
60.65/61.05	  ( (max skv_16 skv_17), (max skv_16 skv_17) )
60.65/61.05	  ( (max skv_16 skv_17), (summation (max skv_16 skv_17)) )
60.65/61.05	  ( (max skv_16 skv_17), skv_20 )
60.65/61.05	  ( (max skv_16 skv_17), skv_21 )
60.65/61.05	  ( (max skv_16 skv_17), (summation skv_21) )
60.65/61.05	  ( (max skv_16 skv_17), skv_22 )
60.65/61.05	  ( (max skv_16 skv_17), skv_23 )
60.65/61.05	  ( (max skv_16 skv_17), (summation skv_23) )
60.65/61.05	  ( (max skv_16 skv_17), (summation skv_17) )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_16 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_17 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_18 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), (max skv_16 skv_17) )
60.65/61.05	  ( (summation (max skv_16 skv_17)), (summation (max skv_16 skv_17)) )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_20 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_21 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), (summation skv_21) )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_22 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_23 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), (summation skv_23) )
60.65/61.05	  ( skv_20, skv_16 )
60.65/61.05	  ( skv_20, skv_17 )
60.65/61.05	  ( skv_20, skv_18 )
60.65/61.05	  ( skv_20, (max skv_16 skv_17) )
60.65/61.05	  ( skv_20, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_20, skv_20 )
60.65/61.05	  ( skv_20, skv_21 )
60.65/61.05	  ( skv_20, (summation skv_21) )
60.65/61.05	  ( skv_20, skv_22 )
60.65/61.05	  ( skv_20, skv_23 )
60.65/61.05	  ( skv_20, (summation skv_23) )
60.65/61.05	  ( skv_21, skv_16 )
60.65/61.05	  ( skv_21, skv_17 )
60.65/61.05	  ( skv_21, skv_18 )
60.65/61.05	  ( skv_21, (max skv_16 skv_17) )
60.65/61.05	  ( skv_21, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_21, skv_20 )
60.65/61.05	  ( skv_21, skv_21 )
60.65/61.05	  ( skv_21, (summation skv_21) )
60.65/61.05	  ( skv_21, skv_22 )
60.65/61.05	  ( skv_21, skv_23 )
60.65/61.05	  ( skv_21, (summation skv_23) )
60.65/61.05	  ( (summation skv_21), skv_16 )
60.65/61.05	  ( (summation skv_21), skv_17 )
60.65/61.05	  ( (summation skv_21), skv_18 )
60.65/61.05	  ( (summation skv_21), (max skv_16 skv_17) )
60.65/61.05	  ( (summation skv_21), (summation (max skv_16 skv_17)) )
60.65/61.05	  ( (summation skv_21), skv_20 )
60.65/61.05	  ( (summation skv_21), skv_21 )
60.65/61.05	  ( (summation skv_21), (summation skv_21) )
60.65/61.05	  ( (summation skv_21), skv_22 )
60.65/61.05	  ( (summation skv_21), skv_23 )
60.65/61.05	  ( (summation skv_21), (summation skv_23) )
60.65/61.05	  ( skv_22, skv_16 )
60.65/61.05	  ( skv_22, skv_17 )
60.65/61.05	  ( skv_22, skv_18 )
60.65/61.05	  ( skv_22, (max skv_16 skv_17) )
60.65/61.05	  ( skv_22, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_22, skv_20 )
60.65/61.05	  ( skv_22, skv_21 )
60.65/61.05	  ( skv_22, (summation skv_21) )
60.65/61.05	  ( skv_22, skv_22 )
60.65/61.05	  ( skv_22, skv_23 )
60.65/61.05	  ( skv_22, (summation skv_23) )
60.65/61.05	  ( skv_23, skv_16 )
60.65/61.05	  ( skv_23, skv_17 )
60.65/61.05	  ( skv_23, skv_18 )
60.65/61.05	  ( skv_23, (max skv_16 skv_17) )
60.65/61.05	  ( skv_23, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_23, skv_20 )
60.65/61.05	  ( skv_23, skv_21 )
60.65/61.05	  ( skv_23, (summation skv_21) )
60.65/61.05	  ( skv_23, skv_22 )
60.65/61.05	  ( skv_23, skv_23 )
60.65/61.05	  ( skv_23, (summation skv_23) )
60.65/61.05	  ( (summation skv_23), skv_16 )
60.65/61.05	  ( (summation skv_23), skv_17 )
60.65/61.05	  ( (summation skv_23), skv_18 )
60.65/61.05	  ( (summation skv_23), (max skv_16 skv_17) )
60.65/61.05	  ( (summation skv_23), (summation (max skv_16 skv_17)) )
60.65/61.05	  ( (summation skv_23), skv_20 )
60.65/61.05	  ( (summation skv_23), skv_21 )
60.65/61.05	  ( (summation skv_23), (summation skv_21) )
60.65/61.05	  ( (summation skv_23), skv_22 )
60.65/61.05	  ( (summation skv_23), skv_23 )
60.65/61.05	  ( (summation skv_23), (summation skv_23) )
60.65/61.05	  ( (summation skv_17), (max skv_16 skv_17) )
60.65/61.05	)
60.65/61.05	(instantiation (forall ((X Int) (Y Int)) (or (>= (+ X (* (- 1) Y)) 1) (= Y (max X Y))) )
60.65/61.05	  ( skv_16, skv_16 )
60.65/61.05	  ( skv_16, skv_17 )
60.65/61.05	  ( skv_16, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_17, skv_16 )
60.65/61.05	  ( skv_17, skv_17 )
60.65/61.05	  ( skv_17, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_16 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_17 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), (summation (max skv_16 skv_17)) )
60.65/61.05	)
60.65/61.05	(instantiation (forall ((Z Int)) (or (not (>= (+ skv_18 (* (- 1) (summation Z))) 0)) (not (>= (+ Z (* (- 1) skv_16)) 0)) (not (>= (+ Z (* (- 1) skv_17)) 0))) )
60.65/61.05	  ( skv_16 )
60.65/61.05	  ( (max skv_16 skv_17) )
60.65/61.05	  ( skv_21 )
60.65/61.05	  ( (summation skv_21) )
60.65/61.05	  ( skv_23 )
60.65/61.05	  ( (summation skv_23) )
60.65/61.05	)
60.65/61.05	(instantiation (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) (summation (max skv_16 skv_17)))) 0)) (>= (+ Z (* (- 1) skv_18)) 0)) )
60.65/61.05	  ( (+ (- 1) skv_18) )
60.65/61.05	)
60.65/61.05	(instantiation (forall ((Z Int) (BOUND_VARIABLE_728 Int)) (or (>= (+ Z (* (- 1) skv_18)) 0) (not (>= (+ Z (* (- 1) (summation BOUND_VARIABLE_728))) 0)) (not (>= (+ BOUND_VARIABLE_728 (* (- 1) skv_16)) 0)) (not (>= (+ BOUND_VARIABLE_728 (* (- 1) skv_17)) 0))) )
60.65/61.05	  ( skv_16, skv_16 )
60.65/61.05	  ( skv_16, skv_17 )
60.65/61.05	  ( skv_16, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( skv_17, skv_16 )
60.65/61.05	  ( skv_17, skv_17 )
60.65/61.05	  ( skv_17, (summation (max skv_16 skv_17)) )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_16 )
60.65/61.05	  ( (summation (max skv_16 skv_17)), skv_17 )
60.65/61.05	  ( (+ 1 skv_18), skv_16 )
60.65/61.05	  ( (+ 1 skv_18), skv_17 )
60.65/61.05	  ( (+ 1 skv_18), skv_18 )
60.65/61.05	  ( (+ 1 skv_18), (summation (max skv_16 skv_17)) )
60.65/61.05	  ( (+ 1 skv_18), skv_21 )
60.65/61.05	  ( (+ 1 skv_18), (summation skv_21) )
60.65/61.05	  ( (+ 1 skv_18), skv_23 )
60.65/61.05	)
60.65/61.05	% SZS output end Proof for theBenchmark
60.65/61.06	EOF