0.00/0.05	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command    : do_CVC4 %s
0.03/0.26	% Computer   : n062.star.cs.uiowa.edu
0.03/0.26	% Model      : x86_64 x86_64
0.03/0.26	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.26	% Memory     : 32218.625MB
0.03/0.26	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.26	% CPULimit   : 300
0.03/0.26	% DateTime   : Sat Jul 14 04:23:10 CDT 2018
0.03/0.26	% CPUTime    : 
0.03/0.30	%----Proving with arithmetic mode
0.07/0.30	------- cvc4-tfa casc j9 : /export/starexec/sandbox2/benchmark/theBenchmark.p at ...
0.07/0.30	--- Run --cbqi-all --purify-triggers --full-saturate-quant at 15...
0.07/0.37	% SZS status Theorem for theBenchmark
0.07/0.38	% SZS output start Proof for theBenchmark
0.07/0.38	(skolem (let ((_let_0 (* N N))) (let ((_let_1 (* (- 1) _let_0))) (let ((_let_2 (size1 BOUND_VARIABLE_1029))) (let ((_let_3 (= _let_2 _let_0))) (let ((_let_4 (num1 BOUND_VARIABLE_1029))) (forall ((N Int) (Graph graph1) (BOUND_VARIABLE_1029 uf_pure1) (BOUND_VARIABLE_1030 Int) (BOUND_VARIABLE_1031 Int)) (or (not (forall ((X Int) (Y Int)) (= (path1 Graph X Y) (= X Y)) )) (not (>= N 1)) (not (>= _let_0 0)) (not (forall ((X Int)) (or (not (>= X 0)) (>= (+ X _let_1) 0) (repr1 BOUND_VARIABLE_1029 X X)) )) (not _let_3) (not (= _let_4 _let_0)) (not (forall ((X Int) (Y Int)) (or (>= (+ X _let_1) 0) (not (>= X 0)) (not (>= Y 0)) (>= (+ Y _let_1) 0) (not (same1 BOUND_VARIABLE_1029 X Y)) (and (repr1 BOUND_VARIABLE_1029 X Y) (= X Y) (repr1 BOUND_VARIABLE_1029 X X))) )) (and (>= _let_4 1) (= _let_2 _let_4) (or (not (>= BOUND_VARIABLE_1030 0)) (>= (+ BOUND_VARIABLE_1030 _let_1) 0) (not (>= BOUND_VARIABLE_1031 0)) (>= (+ BOUND_VARIABLE_1031 _let_1) 0) (= (path1 Graph BOUND_VARIABLE_1030 BOUND_VARIABLE_1031) (same1 BOUND_VARIABLE_1029 BOUND_VARIABLE_1030 BOUND_VARIABLE_1031))) _let_3)) ))))))
0.07/0.38	  ( skv_32 skv_33 skv_34 skv_35 skv_36 )
0.07/0.38	)
0.07/0.38	(skolem (forall ((R Int)) (= (repr1 skv_34 skv_36 R) (repr1 skv_34 skv_35 R)) )
0.07/0.38	  ( skv_42 )
0.07/0.38	)
0.07/0.38	(skolem (forall ((Y Int)) (or (not (path1 skv_33 skv_36 Y)) (not (path1 skv_33 Y skv_35))) )
0.07/0.38	  ( skv_43 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((G graph1) (X Int)) (path1 G X X) )
0.07/0.38	  ( skv_33, skv_35 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((U uf_pure1) (X Int) (Y Int)) (= (same1 U X Y) (forall ((R Int)) (= (repr1 U Y R) (repr1 U X R)) )) )
0.07/0.38	  ( skv_34, skv_35, skv_36 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((U uf_pure1) (X Int) (Y Int) (Z Int)) (or (not (>= X 0)) (>= (+ X (* (- 1) (size1 U))) 0) (not (repr1 U X Y)) (not (repr1 U X Z)) (= Y Z)) )
0.07/0.38	  ( skv_34, skv_35, skv_35, skv_36 )
0.07/0.38	  ( skv_34, skv_35, skv_36, skv_35 )
0.07/0.38	  ( skv_34, skv_35, skv_36, skv_42 )
0.07/0.38	  ( skv_34, skv_35, skv_42, skv_36 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((Z graph1) (Z1 Int) (Z2 Int)) (or (not (path1 Z Z1 Z2)) (not (forall ((Y Int)) (or (not (path1 Z Z1 Y)) (not (path1 Z Y Z2))) )) (path1 Z Z2 Z1) (= Z1 Z2)) )
0.07/0.38	  ( skv_33, skv_35, skv_43 )
0.07/0.38	  ( skv_33, skv_36, skv_35 )
0.07/0.38	  ( skv_33, skv_36, skv_43 )
0.07/0.38	  ( skv_33, skv_43, skv_35 )
0.07/0.38	  ( skv_33, skv_43, skv_36 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((G graph1) (X Int) (Y Int) (Z Int)) (or (not (path1 G X Y)) (not (path1 G Y Z)) (path1 G X Z)) )
0.07/0.38	  ( skv_33, skv_36, skv_43, skv_35 )
0.07/0.38	  ( skv_33, skv_43, skv_35, skv_35 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((X Int) (Y Int) (Z Int)) (or (>= (+ X (* (- 1) Y)) 1) (not (>= Z 0)) (not (>= (+ (* X Z) (* (- 1) (* Y Z))) 1))) )
0.07/0.38	  ( 0, 0, 0 )
0.07/0.38	)
0.07/0.38	(instantiation (let ((_let_0 (* N X))) (forall ((N Int) (X Int) (Y Int)) (or (not (>= N 0)) (not (>= (+ N (* (- 1) X)) 1)) (not (>= X 0)) (not (>= (+ N (* (- 1) Y)) 1)) (not (>= Y 0)) (and (not (>= (+ Y (* (- 1) (* N N)) _let_0) 0)) (>= (+ Y _let_0) 0))) ))
0.07/0.38	  ( 0, 0, 0 )
0.07/0.38	  ( 0, 0, (- 1) )
0.07/0.38	  ( 0, (- 1), 0 )
0.07/0.38	  ( 0, (- 1), (- 1) )
0.07/0.38	  ( 1, 0, 0 )
0.07/0.38	  ( 1, 0, 1 )
0.07/0.38	  ( 1, 1, 0 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((G graph1) (X Int) (Y Int)) (or (not (path1 G X Y)) (path1 G Y X)) )
0.07/0.38	  ( skv_33, skv_35, skv_36 )
0.07/0.38	  ( skv_33, skv_35, skv_43 )
0.07/0.38	  ( skv_33, skv_36, skv_35 )
0.07/0.38	  ( skv_33, skv_36, skv_43 )
0.07/0.38	  ( skv_33, skv_43, skv_35 )
0.07/0.38	  ( skv_33, skv_43, skv_36 )
0.07/0.38	)
0.07/0.38	(instantiation (let ((_let_0 (* (- 1) (size1 U)))) (forall ((U uf_pure1) (BOUND_VARIABLE_1216 Int) (BOUND_VARIABLE_1217 Int)) (or (not (= (num1 U) 1)) (>= (+ BOUND_VARIABLE_1216 _let_0) 0) (not (>= BOUND_VARIABLE_1216 0)) (not (>= BOUND_VARIABLE_1217 0)) (>= (+ BOUND_VARIABLE_1217 _let_0) 0) (same1 U BOUND_VARIABLE_1216 BOUND_VARIABLE_1217)) ))
0.07/0.38	  ( skv_34, skv_35, skv_36 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((Y Int)) (or (not (path1 INST_CONSTANT_1306 INST_CONSTANT_1307 Y)) (not (path1 INST_CONSTANT_1306 Y INST_CONSTANT_1308))) )
0.07/0.38	  ( 0 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((Y Int)) (or (>= (+ Y (* (- 1) (size1 INST_CONSTANT_1467))) 0) (not (repr1 INST_CONSTANT_1467 INST_CONSTANT_1468 Y)) (not (>= Y 0))) )
0.07/0.38	  ( INST_CONSTANT_1468 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((R Int)) (= (repr1 INST_CONSTANT_1623 INST_CONSTANT_1625 R) (repr1 INST_CONSTANT_1623 INST_CONSTANT_1624 R)) )
0.07/0.38	  ( 0 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((X Int) (R Int)) (= (repr1 INST_CONSTANT_1993 X R) (repr1 INST_CONSTANT_1994 X R)) )
0.07/0.38	  ( 0, 0 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((X Int) (Y Int)) (= (path1 skv_33 X Y) (= X Y)) )
0.07/0.38	  ( 0, 0 )
0.07/0.38	  ( skv_35, skv_36 )
0.07/0.38	  ( skv_36, skv_43 )
0.07/0.38	  ( skv_43, skv_35 )
0.07/0.38	)
0.07/0.38	(instantiation (let ((_let_0 (* (- 1) (* skv_32 skv_32)))) (forall ((X Int) (Y Int)) (or (>= (+ X _let_0) 0) (not (>= X 0)) (not (>= Y 0)) (>= (+ Y _let_0) 0) (not (same1 skv_34 X Y)) (and (repr1 skv_34 X Y) (= X Y) (repr1 skv_34 X X))) ))
0.07/0.38	  ( skv_35, skv_36 )
0.07/0.38	)
0.07/0.38	(instantiation (forall ((Y Int)) (or (not (path1 skv_33 skv_36 Y)) (not (path1 skv_33 Y skv_35))) )
0.07/0.38	  ( 0 )
0.07/0.38	  ( skv_43 )
0.07/0.38	)
0.07/0.38	% SZS output end Proof for theBenchmark
0.07/0.38	EOF