0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : do_CVC4 %s %d 0.10/0.32 % Computer : n024.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Wed Jul 1 17:20:56 EDT 2020 0.10/0.32 % CPUTime : 0.16/0.44 %----Proving TF0_ARI 0.16/0.45 ------- cvc4-tfa casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.16/0.45 --- Run --finite-model-find --decision=internal at 15... 0.16/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15... 0.16/0.51 % SZS status Theorem for theBenchmark 0.16/0.51 % SZS output start Proof for theBenchmark 0.16/0.51 (instantiation (forall ((X Real)) (= X (log (exp X))) ) 0.16/0.51 ( 0 ) 0.16/0.51 ( (* 2.0 (log 2.0)) ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real)) (= (sqr X) (* X X)) ) 0.16/0.51 ( 2 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real)) (= (log2 X) (ite (= (log 2.0) 0.0) (divByZero (log X)) (witness ((BOUND_VARIABLE_484 Real)) (=> (not (= (log 2.0) 0.0)) (= (log X) (* BOUND_VARIABLE_484 (log 2.0))))))) ) 0.16/0.51 ( 1 ) 0.16/0.51 ( 2 ) 0.16/0.51 ( 10 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real)) (or (>= (* (- 1.0) X) 0.0) (= (sqr X) (pow X 2.0))) ) 0.16/0.51 ( 2 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real) (Y Real)) (or (>= (* (- 1.0) Y) 0.0) (>= (* (- 1.0) X) 0.0) (= (log X) (+ (* (- 1.0) (log Y)) (log (* X Y))))) ) 0.16/0.51 ( 1, 1 ) 0.16/0.51 ( 1, 2 ) 0.16/0.51 ( 1, 10 ) 0.16/0.51 ( 2, 1 ) 0.16/0.51 ( 2, 2 ) 0.16/0.51 ( 10, 1 ) 0.16/0.51 ( 10, 10 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real) (Y Real) (Z Real)) (or (>= (* (- 1.0) Z) 0.0) (= (pow Z (+ X Y)) (* (pow Z X) (pow Z Y)))) ) 0.16/0.51 ( 2, 2, 2 ) 0.16/0.51 ( 2, 4, 2 ) 0.16/0.51 ( 4, 2, 2 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real) (Y Real)) (= (exp (+ X Y)) (* (exp X) (exp Y))) ) 0.16/0.51 ( 0, 0 ) 0.16/0.51 ( 0, (* 2.0 (log 2.0)) ) 0.16/0.51 ( (* 2.0 (log 2.0)), 0 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real)) (= (log10 X) (ite (= (log 10.0) 0.0) (divByZero (log X)) (witness ((BOUND_VARIABLE_499 Real)) (=> (not (= (log 10.0) 0.0)) (= (log X) (* BOUND_VARIABLE_499 (log 10.0))))))) ) 0.16/0.51 ( 1 ) 0.16/0.51 ( 2 ) 0.16/0.51 ( 10 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real) (Y Real)) (or (>= (* (- 1.0) X) 0.0) (not (>= (* (- 1.0) (pow X Y)) 0.0))) ) 0.16/0.51 ( 2, 2 ) 0.16/0.51 ( 2, 4 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real)) (or (>= (* (- 1.0) X) 0.0) (= X (exp (log X)))) ) 0.16/0.51 ( 1 ) 0.16/0.51 ( 2 ) 0.16/0.51 ( 10 ) 0.16/0.51 ) 0.16/0.51 (instantiation (forall ((X Real) (Y Real)) (or (>= (* (- 1.0) X) 0.0) (= (pow X Y) (exp (* Y (log X))))) ) 0.16/0.51 ( 2, 2 ) 0.16/0.51 ( 2, 4 ) 0.16/0.51 ) 0.16/0.51 % SZS output end Proof for theBenchmark 0.16/0.51 EOF