0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.25 % Computer : n188.star.cs.uiowa.edu 0.03/0.25 % Model : x86_64 x86_64 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.25 % Memory : 32218.625MB 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.25 % CPULimit : 300 0.03/0.25 % DateTime : Sat Jul 14 04:49:55 CDT 2018 0.03/0.26 % CPUTime : 0.07/0.29 %----Proving with arithmetic mode 0.07/0.30 ------- cvc4-tfa casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.07/0.30 --- Run --cbqi-all --purify-triggers --full-saturate-quant at 15... 15.26/16.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15... 30.28/31.71 --- Run --finite-model-find --decision=internal at 15... 45.42/47.41 --- Run --no-e-matching --full-saturate-quant at 15... 46.15/48.24 % SZS status Theorem for theBenchmark 46.24/48.24 % SZS output start Proof for theBenchmark 46.24/48.24 (instantiation (forall ((X Real) (Y Real)) (= (f (+ X Y)) (* (f X) (f Y))) ) 46.24/48.24 ( d, d ) 46.24/48.24 ( d, (+ c d) ) 46.24/48.24 ( d, (+ a b) ) 46.24/48.24 ( d, (+ a b c d) ) 46.24/48.24 ( d, (+ (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( d, (+ (* 2.0 a) (* 2.0 b)) ) 46.24/48.24 ( d, (+ a b (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( d, (+ (* 4.0 c) (* 4.0 d)) ) 46.24/48.24 ( d, (+ (* 2.0 a) (* 2.0 b) c d) ) 46.24/48.24 ( (+ c d), d ) 46.24/48.24 ( (+ c d), (+ c d) ) 46.24/48.24 ( (+ c d), (+ a b) ) 46.24/48.24 ( (+ c d), (+ a b c d) ) 46.24/48.24 ( (+ c d), (+ (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ c d), (+ (* 2.0 a) (* 2.0 b)) ) 46.24/48.24 ( (+ c d), (+ a b (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ c d), (+ (* 4.0 c) (* 4.0 d)) ) 46.24/48.24 ( (+ c d), (+ (* 2.0 a) (* 2.0 b) c d) ) 46.24/48.24 ( (+ a b), d ) 46.24/48.24 ( (+ a b), (+ c d) ) 46.24/48.24 ( (+ a b), (+ a b) ) 46.24/48.24 ( (+ a b), (+ a b c d) ) 46.24/48.24 ( (+ a b), (+ (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ a b), (+ (* 2.0 a) (* 2.0 b)) ) 46.24/48.24 ( (+ a b), (+ a b (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ a b), (+ (* 4.0 c) (* 4.0 d)) ) 46.24/48.24 ( (+ a b), (+ (* 2.0 a) (* 2.0 b) c d) ) 46.24/48.24 ( (+ a b c d), d ) 46.24/48.24 ( (+ a b c d), (+ c d) ) 46.24/48.24 ( (+ a b c d), (+ a b) ) 46.24/48.24 ( (+ a b c d), (+ a b c d) ) 46.24/48.24 ( (+ a b c d), (+ (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ a b c d), (+ (* 2.0 a) (* 2.0 b)) ) 46.24/48.24 ( (+ a b c d), (+ a b (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ a b c d), (+ (* 4.0 c) (* 4.0 d)) ) 46.24/48.24 ( (+ a b c d), (+ (* 2.0 a) (* 2.0 b) c d) ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), d ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), (+ c d) ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), (+ a b) ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), (+ a b c d) ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), (+ (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), (+ (* 2.0 a) (* 2.0 b)) ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), (+ a b (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), (+ (* 4.0 c) (* 4.0 d)) ) 46.24/48.24 ( (+ (* 2.0 c) (* 2.0 d)), (+ (* 2.0 a) (* 2.0 b) c d) ) 46.24/48.24 ( (+ (* 2.0 a) (* 2.0 b)), d ) 46.24/48.24 ( (+ (* 2.0 a) (* 2.0 b)), (+ c d) ) 46.24/48.24 ( (+ (* 2.0 a) (* 2.0 b)), (+ a b) ) 46.24/48.24 ( (+ (* 2.0 a) (* 2.0 b)), (+ a b c d) ) 46.24/48.24 ( (+ (* 2.0 a) (* 2.0 b)), (+ (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ (* 2.0 a) (* 2.0 b)), (+ (* 2.0 a) (* 2.0 b)) ) 46.24/48.24 ( (+ (* 2.0 a) (* 2.0 b)), (+ a b (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ (* 2.0 a) (* 2.0 b)), (+ (* 4.0 c) (* 4.0 d)) ) 46.24/48.24 ( (+ a b (* 2.0 c) (* 2.0 d)), d ) 46.24/48.24 ( (+ a b (* 2.0 c) (* 2.0 d)), (+ c d) ) 46.24/48.24 ( (+ a b (* 2.0 c) (* 2.0 d)), (+ a b) ) 46.24/48.24 ( (+ a b (* 2.0 c) (* 2.0 d)), (+ a b c d) ) 46.24/48.24 ( (+ a b (* 2.0 c) (* 2.0 d)), (+ (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ a b (* 2.0 c) (* 2.0 d)), (+ (* 2.0 a) (* 2.0 b)) ) 46.24/48.24 ( (+ a b (* 2.0 c) (* 2.0 d)), (+ a b (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ a b (* 2.0 c) (* 2.0 d)), (+ (* 4.0 c) (* 4.0 d)) ) 46.24/48.24 ( (+ (* 4.0 c) (* 4.0 d)), d ) 46.24/48.24 ( (+ (* 4.0 c) (* 4.0 d)), (+ c d) ) 46.24/48.24 ( (+ (* 4.0 c) (* 4.0 d)), (+ a b) ) 46.24/48.24 ( (+ (* 4.0 c) (* 4.0 d)), (+ a b c d) ) 46.24/48.24 ( (+ (* 4.0 c) (* 4.0 d)), (+ (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ (* 4.0 c) (* 4.0 d)), (+ (* 2.0 a) (* 2.0 b)) ) 46.24/48.24 ( (+ (* 4.0 c) (* 4.0 d)), (+ a b (* 2.0 c) (* 2.0 d)) ) 46.24/48.24 ( (+ (* 4.0 c) (* 4.0 d)), (+ (* 4.0 c) (* 4.0 d)) ) 46.24/48.24 ) 46.24/48.24 % SZS output end Proof for theBenchmark 46.24/48.25 EOF