0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.02/0.23 % Computer : n183.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:39:10 CDT 2018 0.02/0.23 % CPUTime : 0.06/0.27 %----Proving with arithmetic mode 0.06/0.27 ------- cvc4-tfa casc j9 : /export/starexec/sandbox2/benchmark/theBenchmark.p at ... 0.06/0.27 --- Run --cbqi-all --purify-triggers --full-saturate-quant at 15... 15.15/15.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15... 30.31/31.77 --- Run --finite-model-find --decision=internal at 15... 30.31/31.78 --- Run --no-e-matching --full-saturate-quant at 15... 30.31/31.80 % SZS status Theorem for theBenchmark 30.31/31.80 % SZS output start Proof for theBenchmark 30.31/31.80 (instantiation (forall ((X Real) (Y Real)) (or (not (>= Y 0.0)) (not (>= X 0.0)) (= (sqrt (* X Y)) (* (sqrt X) (sqrt Y)))) ) 30.31/31.80 ( 0, 0 ) 30.31/31.80 ( 0, 1 ) 30.31/31.80 ( 0, 4 ) 30.31/31.80 ( 1, 0 ) 30.31/31.80 ( 1, 1 ) 30.31/31.80 ( 1, 4 ) 30.31/31.80 ) 30.31/31.80 (instantiation (forall ((X Real)) (or (not (>= X 0.0)) (>= (sqrt X) 0.0)) ) 30.31/31.80 ( 0 ) 30.31/31.80 ( 1 ) 30.31/31.80 ( (sqrt 0.0) ) 30.31/31.80 ( 4 ) 30.31/31.80 ( (sqrt 4.0) ) 30.31/31.80 ) 30.31/31.80 (instantiation (forall ((X Real)) (or (not (>= X 0.0)) (= X (sqrt (* X X)))) ) 30.31/31.80 ( 0 ) 30.31/31.80 ( (sqrt 0.0) ) 30.31/31.80 ( (sqrt 1.0) ) 30.31/31.80 ( (sqrt 4.0) ) 30.31/31.80 ( (let ((_let_0 (sqrt 4.0))) (* _let_0 _let_0)) ) 30.31/31.80 ) 30.31/31.80 (instantiation (forall ((X Real)) (= (sqr X) (* X X)) ) 30.31/31.80 ( 0 ) 30.31/31.80 ( (sqrt 0.0) ) 30.31/31.80 ( (sqrt 1.0) ) 30.31/31.80 ( (sqrt 4.0) ) 30.31/31.80 ( (sqrt (sqrt 4.0)) ) 30.31/31.80 ) 30.31/31.80 (instantiation (forall ((X Real)) (or (not (>= X 0.0)) (= X (sqr (sqrt X)))) ) 30.31/31.80 ( 0 ) 30.31/31.80 ( 1 ) 30.31/31.80 ( 4 ) 30.31/31.80 ( (sqrt 4.0) ) 30.31/31.80 ( (let ((_let_0 (sqrt 4.0))) (* (- 1.0) (* _let_0 _let_0))) ) 30.31/31.80 ) 30.31/31.80 (instantiation (forall ((X Real) (Y Real)) (or (not (>= (+ (* (- 1.0) X) Y) 0.0)) (not (>= X 0.0)) (>= (+ (* (- 1.0) (sqrt X)) (sqrt Y)) 0.0)) ) 30.31/31.80 ( 0, 0 ) 30.31/31.80 ( 0, 1 ) 30.31/31.80 ( 0, 4 ) 30.31/31.80 ( 0, (sqrt 4.0) ) 30.31/31.80 ( 1, 0 ) 30.31/31.80 ( 1, 1 ) 30.31/31.80 ( 1, 4 ) 30.31/31.80 ( 4, 0 ) 30.31/31.80 ( 4, 1 ) 30.31/31.80 ( 4, 4 ) 30.31/31.80 ( (sqrt 4.0), (sqrt 0.0) ) 30.31/31.80 ( (sqrt 4.0), (sqrt 4.0) ) 30.31/31.80 ) 30.31/31.80 % SZS output end Proof for theBenchmark 30.31/31.80 EOF