0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : do_CVC4 %s %d 0.09/0.30 % Computer : n011.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 08:18:31 EDT 2020 0.09/0.30 % CPUTime : 0.15/0.41 %----Proving TF0_NAR, FOF, or CNF 0.15/0.41 ------- cvc4-fof casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.15/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 10.34/10.59 % SZS status Theorem for theBenchmark 10.34/10.59 % SZS output start Proof for theBenchmark 10.34/10.59 (instantiation (forall ((A $$unsorted)) (let ((_let_0 (star A))) (leq (addition one (multiplication _let_0 A)) _let_0)) ) 10.34/10.59 ( one ) 10.34/10.59 ( a ) 10.34/10.59 ( (multiplication a a) ) 10.34/10.59 ( (multiplication a (multiplication a a)) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))) ) 10.34/10.59 ( (star a) ) 10.34/10.59 ( (multiplication (star a) a) ) 10.34/10.59 ( (addition one (multiplication a (star a))) ) 10.34/10.59 ( (star (multiplication a (multiplication a a))) ) 10.34/10.59 ( (multiplication (star a) (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))) ) 10.34/10.59 ( (star (star a)) ) 10.34/10.59 ( (multiplication (star (multiplication a (multiplication a a))) (star a)) ) 10.34/10.59 ( (star (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (multiplication (multiplication a (multiplication a a)) (star (star a))) ) 10.34/10.59 ( (multiplication (star (star a)) a) ) 10.34/10.59 ( (multiplication a (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (multiplication one (star (multiplication a a))) ) 10.34/10.59 ( (multiplication (multiplication (star (multiplication a (multiplication a a))) a) a) ) 10.34/10.59 ( (addition one a) ) 10.34/10.59 ) 10.34/10.59 (instantiation (forall ((A $$unsorted)) (= A (multiplication A one)) ) 10.34/10.59 ( one ) 10.34/10.59 ( a ) 10.34/10.59 ( (multiplication a a) ) 10.34/10.59 ( (star a) ) 10.34/10.59 ( (multiplication a (star a)) ) 10.34/10.59 ( (addition one (multiplication a (star a))) ) 10.34/10.59 ( (multiplication (multiplication a a) a) ) 10.34/10.59 ( (star (multiplication a (multiplication a a))) ) 10.34/10.59 ( (multiplication (multiplication a (multiplication a a)) a) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication _let_0 _let_0)) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))) ) 10.34/10.59 ( (star (star a)) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (addition one (multiplication a _let_0)) _let_0)) ) 10.34/10.59 ( (multiplication (star (multiplication a (multiplication a a))) (star a)) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (star _let_0) _let_0)) ) 10.34/10.59 ( (addition (star a) (multiplication a (multiplication a a))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication _let_0 (star _let_0))) ) 10.34/10.59 ( (star (multiplication a a)) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (multiplication _let_0 a) _let_0)) ) 10.34/10.59 ( (star (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (multiplication _let_0 _let_0) (star _let_0))) ) 10.34/10.59 ( (multiplication (multiplication a (multiplication a a)) (star (star a))) ) 10.34/10.59 ( (multiplication (star (multiplication a (multiplication a a))) a) ) 10.34/10.59 ( (multiplication a (multiplication a (star a))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (multiplication a _let_0) _let_0)) ) 10.34/10.59 ( (multiplication (star (multiplication a a)) (star a)) ) 10.34/10.59 ( (multiplication (star (star a)) a) ) 10.34/10.59 ( (addition (multiplication (star (multiplication a (multiplication a a))) (star a)) a) ) 10.34/10.59 ( (star one) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (addition _let_0 (multiplication a (multiplication a (multiplication a a)))) (star _let_0))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (addition (multiplication _let_0 _let_0) (multiplication a (multiplication a a))) (star _let_0))) ) 10.34/10.59 ( (multiplication a (star (star a))) ) 10.34/10.59 ( (multiplication (multiplication a (multiplication a (multiplication a a))) a) ) 10.34/10.59 ( (multiplication (multiplication a a) (star (star a))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (multiplication (multiplication (star (multiplication a _let_0)) _let_0) a)) ) 10.34/10.59 ( (multiplication (multiplication (star (multiplication a (multiplication a a))) a) a) ) 10.34/10.59 ( (multiplication (star (multiplication a (multiplication a a))) (multiplication a (star a))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) (star a)))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) a))) ) 10.34/10.59 ( (multiplication (star one) a) ) 10.34/10.59 ( (multiplication (star (star (star a))) a) ) 10.34/10.59 ( (multiplication (star (star (multiplication a (multiplication a a)))) a) ) 10.34/10.59 ( (let ((_let_0 (star a))) (addition (multiplication (multiplication a (multiplication a a)) (star _let_0)) _let_0)) ) 10.34/10.59 ( (star (multiplication a (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (star (multiplication a (star a))) ) 10.34/10.59 ( (star (addition one a)) ) 10.34/10.59 ( (star (multiplication (multiplication (star (multiplication a (multiplication a a))) a) a)) ) 10.34/10.59 ) 10.34/10.59 (instantiation (forall ((A $$unsorted)) (let ((_let_0 (star A))) (leq (addition one (multiplication A _let_0)) _let_0)) ) 10.34/10.59 ( one ) 10.34/10.59 ( a ) 10.34/10.59 ( (multiplication a a) ) 10.34/10.59 ( (multiplication a (multiplication a a)) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))) ) 10.34/10.59 ( (star a) ) 10.34/10.59 ( (multiplication (star a) a) ) 10.34/10.59 ( (addition one (multiplication a (star a))) ) 10.34/10.59 ( (star (multiplication a (multiplication a a))) ) 10.34/10.59 ( (multiplication (star a) (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))) ) 10.34/10.59 ( (star (star a)) ) 10.34/10.59 ( (multiplication (star (multiplication a (multiplication a a))) (star a)) ) 10.34/10.59 ( (star (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (multiplication (multiplication a (multiplication a a)) (star (star a))) ) 10.34/10.59 ( (multiplication (star (star a)) a) ) 10.34/10.59 ( (multiplication a (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (multiplication one (star (multiplication a a))) ) 10.34/10.59 ( (multiplication (multiplication (star (multiplication a (multiplication a a))) a) a) ) 10.34/10.59 ( (addition one a) ) 10.34/10.59 ) 10.34/10.59 (instantiation (forall ((A $$unsorted)) (= A (addition A A)) ) 10.34/10.59 ( one ) 10.34/10.59 ( a ) 10.34/10.59 ( (multiplication a (multiplication a a)) ) 10.34/10.59 ( (star a) ) 10.34/10.59 ( (multiplication (star a) a) ) 10.34/10.59 ( (multiplication a (star a)) ) 10.34/10.59 ( (addition one (multiplication a (star a))) ) 10.34/10.59 ( (star (multiplication a (multiplication a a))) ) 10.34/10.59 ( (multiplication (star a) (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication _let_0 _let_0)) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))) ) 10.34/10.59 ( (star (star a)) ) 10.34/10.59 ( (multiplication a (addition one (multiplication a (star a)))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication _let_0 (addition one (multiplication a _let_0)))) ) 10.34/10.59 ( (multiplication (addition one (multiplication a (star a))) a) ) 10.34/10.59 ( (multiplication (addition one (multiplication a (star a))) (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (addition one (multiplication a _let_0)) _let_0)) ) 10.34/10.59 ( (multiplication (star (multiplication a (multiplication a a))) (star a)) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (star _let_0) _let_0)) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication _let_0 (star _let_0))) ) 10.34/10.59 ( (multiplication (star a) (star (multiplication a a))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (multiplication _let_0 a) _let_0)) ) 10.34/10.59 ( (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (let ((_let_2 (addition one _let_1))) (multiplication _let_2 _let_2)))) ) 10.34/10.59 ( (multiplication (star (multiplication a (multiplication a a))) (addition one (multiplication a (star a)))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (multiplication a _let_0) _let_0)) ) 10.34/10.59 ( (multiplication (star (multiplication a a)) (star a)) ) 10.34/10.59 ( (multiplication (addition one (multiplication a (star a))) (star one)) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (star (multiplication a _let_0)))) (multiplication (multiplication (addition one (multiplication a (star a))) _let_1) (star _let_1)))) ) 10.34/10.59 ( (multiplication one (star (multiplication a a))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_1 (addition one (multiplication _let_1 (star _let_1)))))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_0 (addition one (multiplication _let_1 (star _let_1)))))) ) 10.34/10.59 ( (multiplication a (multiplication a (addition one (multiplication a (star a))))) ) 10.34/10.59 ( (multiplication (star (multiplication a (multiplication a a))) (multiplication a (star a))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (multiplication a (star a)) (addition one (multiplication _let_1 (star _let_1)))))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) _let_1))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) a))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) (addition one (multiplication a (star a)))))) ) 10.34/10.59 ( (multiplication (multiplication a (addition one (multiplication a (star a)))) (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication _let_0 (multiplication a (multiplication a (addition one (multiplication a _let_0)))))) ) 10.34/10.59 ( (multiplication (star one) (multiplication (multiplication a (addition one (multiplication a (star a)))) a)) ) 10.34/10.59 ( (multiplication (star one) (multiplication (multiplication a (addition one (multiplication a (star a)))) (star (multiplication a (multiplication a a))))) ) 10.34/10.59 ( (multiplication (multiplication a (multiplication a (addition one (multiplication a (star a))))) (star one)) ) 10.34/10.59 ( (let ((_let_0 (star a))) (multiplication (multiplication (multiplication (addition one (multiplication a _let_0)) a) _let_0) (star one))) ) 10.34/10.59 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (star (multiplication a _let_0)))) (multiplication (multiplication (multiplication a (addition one (multiplication a (star a)))) _let_1) (star _let_1)))) ) 10.34/10.59 ) 10.34/10.59 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (= B (addition A B)) (leq A B)) ) 10.34/10.59 ( one, one ) 10.34/10.59 ( one, (multiplication a (multiplication a a)) ) 10.34/10.59 ( one, (multiplication a (multiplication a (multiplication a a))) ) 10.34/10.59 ( one, (star a) ) 10.34/10.59 ( one, (multiplication (star a) a) ) 10.34/10.59 ( one, (multiplication a (star a)) ) 10.34/10.59 ( one, (addition one (multiplication a (star a))) ) 10.34/10.59 ( one, (star (multiplication a (multiplication a a))) ) 10.34/10.59 ( one, (addition (multiplication (star a) a) one) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (star _let_1) _let_1))) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (addition (multiplication _let_0 a) _let_0)) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (addition (multiplication a _let_0) _let_0)) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_1 (star _let_1)))) ) 10.34/10.59 ( one, (multiplication a (addition one (multiplication a (star a)))) ) 10.34/10.59 ( one, (multiplication (addition one (multiplication a (star a))) a) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (multiplication (star _let_0) _let_0)) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (addition (multiplication a _let_0) (addition _let_0 (multiplication a (multiplication a (multiplication a a)))))) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (addition (multiplication _let_0 a) (addition one (multiplication a _let_0)))) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (addition _let_1 (addition one _let_1)))) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (multiplication _let_0 (star _let_0))) ) 10.34/10.59 ( one, (multiplication one a) ) 10.34/10.59 ( one, (multiplication (multiplication a (star a)) a) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (multiplication (star _let_0) _let_0)) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (let ((_let_2 (addition one _let_1))) (multiplication (star _let_2) _let_2)))) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (star (multiplication a _let_0)))) (multiplication (star _let_1) _let_1))) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (addition (addition _let_1 (addition one _let_1)) _let_0))) ) 10.34/10.59 ( one, (addition (multiplication a (star a)) (multiplication a (multiplication a (multiplication a a)))) ) 10.34/10.59 ( one, (addition (multiplication (star a) a) (multiplication a (multiplication a (multiplication a a)))) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (addition (multiplication a _let_0) (addition one (multiplication _let_0 a)))) ) 10.34/10.59 ( one, (addition (multiplication (star a) a) a) ) 10.34/10.59 ( one, (addition (multiplication a (star a)) a) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (let ((_let_2 (star _let_1))) (addition (multiplication _let_2 _let_1) _let_2)))) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (star (multiplication a _let_0)))) (addition (multiplication (multiplication a _let_0) _let_1) _let_1))) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (multiplication _let_0 (star _let_0))) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (let ((_let_2 (addition one _let_1))) (multiplication _let_2 (star _let_2))))) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (star (multiplication a _let_0)))) (multiplication _let_1 (star _let_1)))) ) 10.34/10.59 ( one, (multiplication one (star one)) ) 10.34/10.59 ( one, (multiplication (multiplication a (multiplication a (multiplication a a))) a) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_1 (addition one (multiplication _let_1 (star _let_1)))))) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) _let_1))) ) 10.34/10.59 ( one, (multiplication (star one) one) ) 10.34/10.59 ( one, (let ((_let_0 (star (star a)))) (multiplication (star _let_0) _let_0)) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (star (multiplication a _let_0)))) (addition (multiplication (multiplication a _let_0) _let_1) (addition _let_1 _let_0)))) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (let ((_let_2 (star _let_1))) (addition (multiplication _let_2 _let_1) (addition one (multiplication _let_1 _let_2)))))) ) 10.34/10.59 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (let ((_let_2 (star _let_1))) (let ((_let_3 (multiplication _let_1 _let_2))) (addition _let_3 (addition one _let_3)))))) ) 10.34/10.59 ( one, (let ((_let_0 (star a))) (let ((_let_1 (star _let_0))) (addition (multiplication _let_1 _let_0) _let_1))) ) 10.34/10.59 ( one, (let ((_let_0 (star (star a)))) (multiplication _let_0 (star _let_0))) ) 10.34/10.59 ( a, one ) 10.34/10.59 ( a, (multiplication a a) ) 10.34/10.59 ( a, (multiplication a (multiplication a (multiplication a a))) ) 10.34/10.59 ( a, (star a) ) 10.34/10.59 ( a, (addition (multiplication a (multiplication a (multiplication a a))) (star a)) ) 10.34/10.59 ( a, (star (multiplication a (multiplication a a))) ) 10.34/10.59 ( a, (multiplication (star a) (star (multiplication a (multiplication a a)))) ) 10.34/10.59 ( a, (addition (multiplication (star a) a) one) ) 10.34/10.59 ( a, (addition (multiplication a (star a)) one) ) 10.34/10.59 ( a, (multiplication one (star (star a))) ) 10.34/10.59 ( a, (multiplication (star (multiplication a (multiplication a a))) (star a)) ) 10.34/10.59 ( a, (let ((_let_0 (multiplication a a))) (addition _let_0 (star (multiplication a _let_0)))) ) 10.34/10.59 ( a, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (star a) (addition one (multiplication _let_1 (star _let_1)))))) ) 10.34/10.59 ( a, (addition (multiplication one a) one) ) 10.34/10.59 ( (multiplication a a), one ) 10.34/10.59 ( (multiplication a a), a ) 10.34/10.59 ( (multiplication a a), (multiplication a (multiplication a a)) ) 10.34/10.59 ( (multiplication a a), (star (multiplication a (multiplication a a))) ) 10.34/10.59 ( (multiplication a a), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))) ) 10.34/10.59 ( (multiplication a a), (star (star a)) ) 10.34/10.59 ( (multiplication a a), (let ((_let_0 (star a))) (addition one (multiplication _let_0 (star _let_0)))) ) 10.34/10.59 ( (multiplication a a), (let ((_let_0 (multiplication a a))) (addition (multiplication _let_0 _let_0) (star a))) ) 10.34/10.59 ( (multiplication a a), (multiplication (star a) (star (multiplication a a))) ) 10.34/10.59 ( (multiplication a a), (multiplication (star (multiplication a a)) (star a)) ) 10.34/10.59 ( (multiplication a a), (addition (star (multiplication a (multiplication a a))) a) ) 10.34/10.59 ( (multiplication a a), (addition one a) ) 10.34/10.59 ( (multiplication a (multiplication a a)), one ) 10.34/10.59 ( (multiplication a (multiplication a a)), (multiplication a (multiplication a (multiplication a a))) ) 10.34/10.59 ( (multiplication a (multiplication a a)), (star a) ) 10.34/10.59 ( (multiplication a (multiplication a a)), (addition (multiplication a (multiplication a (multiplication a a))) (star a)) ) 10.34/10.59 ( (multiplication a (multiplication a a)), (let ((_let_0 (star a))) (multiplication _let_0 _let_0)) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), one ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), a ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (multiplication a (multiplication a a)) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (star a) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (addition one (multiplication (star a) a)) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (multiplication a (star a)) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (addition one (multiplication a (star a))) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (let ((_let_0 (star a))) (addition (multiplication a _let_0) _let_0)) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (addition (star a) a) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (addition (star a) (multiplication a (multiplication a a))) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (addition (addition one (multiplication a (star a))) one) ) 10.34/10.59 ( (multiplication a (multiplication a (multiplication a a))), (addition (star a) (multiplication a a)) ) 10.34/10.59 ( (star a), one ) 10.34/10.59 ( (star a), a ) 10.34/10.59 ( (star a), (multiplication a a) ) 10.34/10.59 ( (star a), (multiplication a (multiplication a a)) ) 10.34/10.59 ( (star a), (multiplication a (multiplication a (multiplication a a))) ) 10.34/10.59 ( (star a), (multiplication (star a) a) ) 10.34/10.59 ( (star a), (addition one (multiplication (star a) a)) ) 10.34/10.59 ( (star a), (multiplication a (star a)) ) 10.34/10.59 ( (star a), (addition 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((_let_0 (star a))) (addition (addition one (multiplication _let_0 a)) (addition (multiplication a _let_0) _let_0))) ) 10.43/10.66 ( one, one, (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (addition (addition one _let_1) (addition _let_1 _let_0)))) ) 10.43/10.66 ( one, one, (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (let ((_let_2 (addition one _let_1))) (let ((_let_3 (multiplication _let_2 a))) (addition (addition _let_3 (addition _let_3 _let_3)) (multiplication _let_0 a)))))) ) 10.43/10.66 ( one, one, (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (addition (multiplication (addition one _let_1) a) (addition (multiplication one a) (multiplication _let_1 a))))) ) 10.43/10.66 ( one, one, (let ((_let_0 (star a))) (addition (addition (multiplication _let_0 a) (multiplication one a)) (multiplication (multiplication a _let_0) a))) ) 10.43/10.66 ( one, one, (multiplication (addition one (multiplication (star a) a)) a) ) 10.43/10.66 ( one, one, (let ((_let_0 (star a))) (multiplication _let_0 (star (addition one (multiplication a _let_0))))) ) 10.43/10.66 ( one, one, (multiplication one (multiplication a (star a))) ) 10.43/10.66 ( one, one, (multiplication (multiplication a (star a)) one) ) 10.43/10.66 ( one, one, (multiplication (addition one (multiplication a (star a))) (addition a a)) ) 10.43/10.66 ( one, one, (addition one a) ) 10.43/10.66 ( one, one, (addition one one) ) 10.43/10.66 ( one, one, (let ((_let_0 (star a))) (addition (multiplication (multiplication one _let_0) a) (multiplication _let_0 a))) ) 10.43/10.66 ( one, one, (let ((_let_0 (star a))) (multiplication (star _let_0) (addition one (multiplication _let_0 a)))) ) 10.43/10.66 ( one, one, (let ((_let_0 (star a))) (multiplication (star _let_0) (multiplication _let_0 a))) ) 10.43/10.66 ( one, one, (multiplication a (multiplication a (multiplication a (multiplication a a)))) ) 10.43/10.66 ( one, one, (multiplication a (addition one 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(multiplication a (star a)) ) 12.04/12.23 ( (let ((_let_0 (star a))) (addition (multiplication (multiplication one _let_0) _let_0) (multiplication _let_0 _let_0))), (addition one (multiplication (star a) a)), (addition (multiplication (addition one (multiplication (star a) a)) a) one) ) 12.04/12.23 ( (let ((_let_0 (star a))) (addition (multiplication (multiplication one _let_0) _let_0) (multiplication _let_0 _let_0))), (let ((_let_0 (star a))) (multiplication (star (addition one (multiplication a _let_0))) (multiplication _let_0 a))), (multiplication (star (addition one (multiplication a (star a)))) one) ) 12.04/12.23 ( (let ((_let_0 (star a))) (addition (multiplication (multiplication one _let_0) _let_0) (multiplication _let_0 _let_0))), (multiplication (addition one (multiplication (star a) a)) a), one ) 12.04/12.24 ( (let ((_let_0 (star a))) (addition (multiplication (multiplication one _let_0) _let_0) (multiplication _let_0 _let_0))), (let ((_let_0 (star a))) (multiplication (star 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one) (multiplication _let_0 one))), a, (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (let ((_let_2 (addition one _let_1))) (multiplication (star _let_2) (multiplication _let_2 a))))) ) 12.18/12.29 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), a, (let ((_let_0 (star a))) (multiplication (star (addition one (multiplication a _let_0))) (addition (multiplication _let_0 a) one))) ) 12.18/12.29 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), a, (multiplication (star one) a) ) 12.18/12.29 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), a, (let ((_let_0 (star a))) (multiplication (star _let_0) (multiplication (addition one (multiplication a _let_0)) a))) ) 12.18/12.29 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (multiplication a (multiplication a a)), (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) _let_0) (multiplication _let_0 _let_0))) ) 12.18/12.29 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (multiplication a (multiplication a (multiplication a a))), (addition one (multiplication (star a) a)) ) 12.18/12.29 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (multiplication a (multiplication a (multiplication a a))), (addition one (multiplication (addition one (multiplication a (star a))) a)) ) 12.18/12.29 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (multiplication a (multiplication a (multiplication a a))), (multiplication a one) ) 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(addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (let ((_let_0 (multiplication a a))) (multiplication _let_0 _let_0)), (multiplication a (multiplication a a)) ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (addition (multiplication (star a) a) one), (multiplication (multiplication a (addition one (multiplication a (star a)))) a) ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (multiplication (addition one (multiplication a (star a))) a), one ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (multiplication (addition one (multiplication a (star a))) a), (addition one (multiplication (addition one (multiplication a (star a))) a)) ) 12.18/12.30 ( (let 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(multiplication (multiplication a (star a)) a), (addition one (multiplication (addition (addition one (multiplication a (star a))) one) a)) ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (addition (multiplication one a) (multiplication (multiplication a (star a)) a)), one ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (addition (multiplication one a) (multiplication (multiplication a (star a)) a)), (addition one (multiplication (addition one (multiplication a (star a))) a)) ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (let ((_let_0 (star a))) (multiplication (multiplication a _let_0) _let_0)), (multiplication (addition one (multiplication a (star a))) a) ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (let ((_let_0 (star a))) (multiplication (star (addition one (multiplication a _let_0))) (multiplication _let_0 a))), a ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (let ((_let_0 (star a))) (multiplication (star (addition one (multiplication a _let_0))) (multiplication _let_0 a))), (multiplication (star (addition one (multiplication a (star a)))) one) ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one (multiplication a _let_0)) one) (multiplication _let_0 one))), (multiplication (star (star a)) (multiplication a (multiplication a a))), (let ((_let_0 (star a))) (multiplication (addition one (multiplication _let_0 (star _let_0))) (multiplication a (multiplication a a)))) ) 12.18/12.30 ( (let ((_let_0 (star a))) (addition (multiplication (addition one 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(star a)))), (addition one one), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) (multiplication a (star a))))) ) 12.37/12.51 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) a))), one, (multiplication (star (multiplication a (multiplication a a))) a) ) 12.37/12.51 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) a))), one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) a))) ) 12.37/12.51 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (addition one (multiplication _let_1 (star _let_1))) a))), a, (multiplication (multiplication (star 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12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (star a) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (multiplication (star a) a) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (addition (star a) (multiplication a (multiplication a (multiplication a a)))) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (star _let_1) _let_1))) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (star (star a)) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (let ((_let_0 (multiplication a a))) (let ((_let_1 (star a))) (let ((_let_2 (star 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(multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (multiplication (star (star a)) (multiplication a (multiplication a (multiplication a a)))) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (addition (multiplication a (star a)) (multiplication a (multiplication a a))) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (star a) (multiplication _let_1 (star _let_1))))) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (multiplication (addition a one) (multiplication a (star a))) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (multiplication (multiplication a (star a)) (addition a one)) ) 12.37/12.52 ( (multiplication (star (addition one (multiplication a (star a)))) (addition one a)), (star a), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (multiplication _let_1 (star _let_1)) (star a)))) ) 12.37/12.52 ( (multiplication (star a) (multiplication a a)), (star a), one ) 12.37/12.52 ( (multiplication (star a) (multiplication a a)), (star a), (multiplication (star a) (multiplication a one)) ) 12.37/12.52 ( (multiplication (star a) (multiplication a a)), (star a), (let ((_let_0 (star a))) (multiplication _let_0 (multiplication a (multiplication a (addition one (multiplication a _let_0)))))) ) 12.37/12.52 ( (multiplication (star a) (multiplication a a)), (star a), (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_1 (multiplication a _let_1)))) ) 12.37/12.52 ( (addition one (multiplication a (multiplication a a))), a, (star a) ) 12.37/12.52 ( (addition (multiplication a (multiplication a a)) one), (star (multiplication a (multiplication a a))), one ) 12.37/12.52 ( (addition (multiplication a (multiplication a a)) one), (star (multiplication a (multiplication a a))), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))) ) 12.37/12.52 ( (let ((_let_0 (star (multiplication a a)))) (addition _let_0 _let_0)), (star a), (multiplication a a) ) 12.37/12.52 ( (let ((_let_0 (star (multiplication a a)))) (addition _let_0 _let_0)), (star a), (multiplication (star (multiplication a a)) (star a)) ) 12.37/12.52 ) 12.37/12.52 (instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (multiplication (multiplication A B) C) (multiplication A (multiplication B C))) ) 12.37/12.52 ( one, one, one ) 12.37/12.52 ( one, one, a ) 12.37/12.52 ( one, one, (multiplication a a) ) 12.37/12.52 ( one, one, (multiplication a (multiplication a a)) ) 12.37/12.52 ( one, one, (multiplication a (multiplication a (multiplication a a))) ) 12.37/12.52 ( one, one, (star a) ) 12.37/12.52 ( one, one, (multiplication a (star a)) ) 12.37/12.52 ( one, one, (star (multiplication a (multiplication a a))) ) 12.37/12.52 ( one, one, (multiplication (star a) (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (star _let_1) _let_1))) ) 12.37/12.52 ( one, one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_1 (star _let_1)))) ) 12.37/12.52 ( one, one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))) ) 12.37/12.52 ( one, one, (star (star a)) ) 12.37/12.52 ( one, one, (multiplication (star (multiplication a (multiplication a a))) (star a)) ) 12.37/12.52 ( one, one, (addition (addition one (multiplication a (star a))) (multiplication a (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, one, (addition (star a) (multiplication a (multiplication a a))) ) 12.37/12.52 ( one, one, (star (multiplication a a)) ) 12.37/12.52 ( one, one, (star (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, one, (let ((_let_0 (multiplication a a))) (multiplication _let_0 (star (multiplication a _let_0)))) ) 12.37/12.52 ( one, one, (multiplication (star (multiplication a (multiplication a a))) a) ) 12.37/12.52 ( one, one, (multiplication a (multiplication a (star a))) ) 12.37/12.52 ( one, one, (addition (star (multiplication a (multiplication a a))) a) ) 12.37/12.52 ( one, one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (star (multiplication a _let_0)))) (multiplication _let_1 (star _let_1)))) ) 12.37/12.52 ( one, one, (star one) ) 12.37/12.52 ( one, one, (multiplication a (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, one, (multiplication (multiplication a a) (star (star a))) ) 12.37/12.52 ( one, one, (let ((_let_0 (multiplication a a))) (multiplication (star (multiplication a _let_0)) _let_0)) ) 12.37/12.52 ( one, one, (multiplication (star (multiplication a (multiplication a a))) (multiplication a (star a))) ) 12.37/12.52 ( one, one, (addition a one) ) 12.37/12.52 ( one, one, (star (multiplication a (star (multiplication a (multiplication a a))))) ) 12.37/12.52 ( one, one, (star (multiplication a (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, a, one ) 12.37/12.52 ( one, a, a ) 12.37/12.52 ( one, a, (multiplication a a) ) 12.37/12.52 ( one, a, (multiplication a (multiplication a a)) ) 12.37/12.52 ( one, a, (multiplication a (multiplication a (multiplication a a))) ) 12.37/12.52 ( one, a, (star a) ) 12.37/12.52 ( one, a, (multiplication a (star a)) ) 12.37/12.52 ( one, a, (star (multiplication a (multiplication a a))) ) 12.37/12.52 ( one, a, (multiplication (star a) (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, a, (star (star a)) ) 12.37/12.52 ( one, a, (star (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, a, (let ((_let_0 (multiplication a a))) (multiplication _let_0 (star (multiplication a _let_0)))) ) 12.37/12.52 ( one, a, (star one) ) 12.37/12.52 ( one, a, (multiplication a (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, a, (multiplication (multiplication a a) (star (star a))) ) 12.37/12.52 ( one, a, (multiplication one (multiplication a (star (multiplication a (multiplication a a))))) ) 12.37/12.52 ( one, (multiplication a a), one ) 12.37/12.52 ( one, (multiplication a (multiplication a a)), (star (multiplication a (multiplication a a))) ) 12.37/12.52 ( one, (star a), one ) 12.37/12.52 ( one, (star a), (addition one one) ) 12.37/12.52 ( one, (multiplication a (star a)), one ) 12.37/12.52 ( one, (addition one (multiplication a (star a))), one ) 12.37/12.52 ( one, (multiplication (multiplication a a) a), one ) 12.37/12.52 ( one, (star (multiplication a (multiplication a a))), one ) 12.37/12.52 ( one, (star (multiplication a (multiplication a a))), a ) 12.37/12.52 ( one, (star (multiplication a (multiplication a a))), (multiplication a a) ) 12.37/12.52 ( one, (star (multiplication a (multiplication a a))), (multiplication a (multiplication a a)) ) 12.37/12.52 ( one, (star (multiplication a (multiplication a a))), (star a) ) 12.37/12.52 ( one, (star (multiplication a (multiplication a a))), (multiplication a (star a)) ) 12.37/12.52 ( one, (star (multiplication a (multiplication a a))), (addition one (multiplication a (star a))) ) 12.37/12.52 ( one, (star (multiplication a (multiplication a a))), (star (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, (let ((_let_0 (star a))) (multiplication _let_0 _let_0)), one ) 12.37/12.52 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))), one ) 12.37/12.52 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 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a)) ) 12.37/12.52 ( one, (star (multiplication a a)), (let ((_let_0 (multiplication a a))) (multiplication _let_0 (star (multiplication a _let_0)))) ) 12.37/12.52 ( one, (star (multiplication a a)), (multiplication a (multiplication a (addition one (multiplication a (star a))))) ) 12.37/12.52 ( one, (star (addition one (multiplication a (star a)))), (multiplication (star a) a) ) 12.37/12.52 ( one, (star (star (multiplication a (multiplication a a)))), one ) 12.37/12.52 ( one, (star (star (multiplication a (multiplication a a)))), (star (multiplication a (multiplication a a))) ) 12.37/12.52 ( one, (multiplication (star (multiplication a (multiplication a a))) a), one ) 12.37/12.52 ( one, (multiplication (star (multiplication a (multiplication a a))) (addition one (multiplication a (star a)))), (star (star a)) ) 12.37/12.52 ( one, (addition (star (multiplication a (multiplication a a))) a), (star a) ) 12.37/12.52 ( one, (star one), one ) 12.37/12.52 ( one, (star one), a ) 12.37/12.52 ( one, (star one), (multiplication a a) ) 12.37/12.52 ( one, (star one), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication (star _let_1) _let_1)))) ) 12.37/12.52 ( one, (star one), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))) ) 12.37/12.52 ( one, (star one), (multiplication (multiplication a (star a)) a) ) 12.37/12.52 ( one, (star one), (multiplication one (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, (star one), (multiplication (multiplication a (star a)) (star (multiplication a (multiplication a a)))) ) 12.37/12.52 ( one, (star one), (let ((_let_0 (multiplication a a))) (let ((_let_1 (star a))) (let ((_let_2 (star (multiplication a _let_0)))) (addition (multiplication (multiplication a _let_1) _let_2) (multiplication _let_1 _let_2))))) ) 12.37/12.52 ( one, (star one), (let ((_let_0 (multiplication a a))) (let ((_let_1 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(addition (multiplication _let_1 _let_0) _let_1))) ) 12.54/12.65 ( one, one, (let ((_let_0 (star (star a)))) (multiplication _let_0 (star _let_0))) ) 12.54/12.65 ( one, one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication one (multiplication _let_1 (star _let_1))))) ) 12.54/12.65 ( one, a, one ) 12.54/12.65 ( one, a, a ) 12.54/12.65 ( one, a, (multiplication a (multiplication a (multiplication a a))) ) 12.54/12.65 ( one, a, (addition (multiplication a (multiplication a (multiplication a a))) (star a)) ) 12.54/12.65 ( one, a, (multiplication (star a) (star (multiplication a (multiplication a a)))) ) 12.54/12.65 ( one, a, (multiplication one (star (star a))) ) 12.54/12.65 ( one, a, (multiplication (star (multiplication a (multiplication a a))) (star a)) ) 12.54/12.65 ( one, a, (let ((_let_0 (multiplication a a))) (addition _let_0 (star (multiplication a _let_0)))) ) 12.54/12.65 ( one, a, (multiplication a (multiplication a (star a))) ) 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((_let_1 (star a))) (let ((_let_2 (star (multiplication a _let_0)))) (addition (multiplication (multiplication a _let_1) _let_2) (addition (multiplication _let_1 _let_2) a))))) ) 12.54/12.68 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (addition one (multiplication _let_1 (star _let_1))))), (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (multiplication a (star a)) (addition one (multiplication _let_1 (star _let_1)))))) ) 12.54/12.68 ( one, (star (star a)), a ) 12.54/12.68 ( one, (star (multiplication a a)), (multiplication (multiplication a a) a) ) 12.54/12.68 ( one, (star (multiplication a a)), (multiplication one (star (multiplication a a))) ) 12.54/12.68 ( one, (addition (star (multiplication a (multiplication a a))) a), (multiplication a a) ) 12.54/12.68 ( one, (let ((_let_0 (multiplication a a))) (let ((_let_1 (star (multiplication a _let_0)))) (multiplication _let_1 (star _let_1)))), one ) 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(let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (multiplication _let_1 (star _let_1)) (star a)))), (multiplication one (star a)) ) 12.70/12.80 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication (multiplication _let_1 (star _let_1)) a))), (multiplication one a) ) 12.70/12.80 ( (multiplication (multiplication a (multiplication a (star a))) a), (multiplication (multiplication a one) a) ) 12.70/12.80 ( (multiplication (multiplication a (multiplication a (star a))) (star (multiplication a (multiplication a a)))), (multiplication (multiplication a one) (star (multiplication a (multiplication a a)))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (multiplication (addition one (multiplication _let_0 (star _let_0))) (multiplication a (multiplication a (multiplication a a))))), (multiplication (star (star a)) (multiplication a (multiplication a (multiplication a a)))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (multiplication (addition one (multiplication _let_0 (star _let_0))) (addition (addition one (multiplication a _let_0)) (multiplication a (multiplication a (multiplication a a)))))), (let ((_let_0 (star a))) (multiplication (star _let_0) (addition (addition one (multiplication a _let_0)) (multiplication a (multiplication a (multiplication a a)))))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (multiplication (addition _let_0 (addition (addition one (multiplication _let_0 a)) one)) (addition _let_0 (multiplication a (multiplication a (multiplication a a)))))), (let ((_let_0 (star a))) (multiplication (multiplication a _let_0) (addition _let_0 (multiplication a (multiplication a (multiplication a a)))))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (multiplication (multiplication a _let_0) (addition _let_0 (multiplication a (multiplication a (multiplication a a)))))), (let ((_let_0 (star a))) (multiplication (addition _let_0 (addition (addition one (multiplication _let_0 a)) one)) (addition _let_0 (multiplication a (multiplication a (multiplication a a)))))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (multiplication (addition _let_0 (addition (addition one (multiplication _let_0 a)) one)) (addition _let_0 (multiplication a (multiplication a a))))), (let ((_let_0 (star a))) (multiplication (multiplication a _let_0) (addition _let_0 (multiplication a (multiplication a a))))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (multiplication (multiplication a _let_0) (addition _let_0 (multiplication a (multiplication a a))))), (let ((_let_0 (star a))) (multiplication (addition _let_0 (addition (addition one (multiplication _let_0 a)) one)) (addition _let_0 (multiplication a (multiplication a a))))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (multiplication (addition _let_0 (addition (addition one (multiplication _let_0 a)) one)) (multiplication a (multiplication a _let_0)))), (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_1 (multiplication a _let_1)))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_1 (multiplication a _let_1)))), (let ((_let_0 (star a))) (multiplication (addition _let_0 (addition (addition one (multiplication _let_0 a)) one)) (multiplication a (multiplication a _let_0)))) ) 12.70/12.80 ( (let ((_let_0 (star a))) (multiplication (addition one (multiplication _let_0 (star _let_0))) (multiplication (addition one (multiplication a _let_0)) (star (multiplication a (multiplication a a)))))), (let ((_let_0 (star a))) (multiplication (star _let_0) (multiplication (addition one (multiplication a _let_0)) (star (multiplication a (multiplication a a)))))) ) 12.70/12.80 ( (multiplication (multiplication a (multiplication a a)) (star a)), (star a) ) 12.70/12.80 ( (multiplication a (addition (addition one (multiplication a (star a))) (multiplication a (multiplication a (multiplication a a))))), (addition one one) ) 12.70/12.80 ( (let ((_let_0 (multiplication a a))) (let ((_let_1 (multiplication a _let_0))) (multiplication _let_1 (multiplication (star _let_1) (addition one (multiplication a (star a))))))), (star a) ) 12.70/12.80 ) 12.70/12.80 % SZS output end Proof for theBenchmark 12.70/12.82 EOF