0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.24 % Computer : n170.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:18:27 CDT 2018 0.03/0.24 % CPUTime : 0.06/0.28 %----Proving without arithmetic mode 0.06/0.28 ------- cvc4-fof casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.06/0.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 20.82/26.17 --- Run --no-e-matching --full-saturate-quant at 20... 40.74/46.19 --- Run --finite-model-find --uf-ss=no-minimal at 15... 55.83/61.21 --- Run --multi-trigger-when-single --full-saturate-quant at 5... 60.81/66.24 --- Run --trigger-sel=max --full-saturate-quant at 5... 65.88/71.29 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5... 70.89/76.35 --- Run --multi-trigger-cache --full-saturate-quant at 10... 80.88/86.38 --- Run --prenex-quant=none --full-saturate-quant at 15... 95.96/101.41 --- Run --fs-inst --decision=internal --full-saturate-quant at 15... 95.96/101.43 --- Run --relevant-triggers --full-saturate-quant at 15... 110.97/116.46 --- Run --finite-model-find --fmf-inst-engine --sort-inference --uf-ss-fair at 15... 125.98/131.48 --- Run --pre-skolem-quant --full-saturate-quant at 30... 156.12/161.94 --- Run --qcf-vo-exp --full-saturate-quant at 30... 186.13/192.04 --- Run --no-quant-cf --full-saturate-quant at 30... 187.06/193.01 % SZS status Theorem for theBenchmark 187.06/193.01 % SZS output start Proof for theBenchmark 187.06/193.01 (skolem (forall ((X0 $$unsorted)) (= (bigC c c X0) (bigC a b X0)) ) 187.06/193.01 ( skv_1 ) 187.06/193.01 ) 187.06/193.01 (instantiation (forall ((B $$unsorted) (A $$unsorted)) (= B (difference A (product A B))) ) 187.06/193.01 ( a, a ) 187.06/193.01 ( a, b ) 187.06/193.01 ( a, c ) 187.06/193.01 ( a, (product a c) ) 187.06/193.01 ( a, (product c b) ) 187.06/193.01 ( a, skv_1 ) 187.06/193.01 ( a, (difference a (product c c)) ) 187.06/193.01 ( a, (quotient (product c c) a) ) 187.06/193.01 ( a, (product c a) ) 187.06/193.01 ( a, (product (product a c) a) ) 187.06/193.01 ( a, (product (quotient (product c c) a) c) ) 187.06/193.01 ( a, (product (difference a (product c c)) a) ) 187.06/193.01 ( a, (product (product (difference a (product c c)) a) a) ) 187.06/193.01 ( a, (product (product a c) c) ) 187.06/193.01 ( a, (product (product a c) b) ) 187.06/193.01 ( a, (product a (product (product (difference a (product c c)) a) a)) ) 187.06/193.01 ( a, (let ((_let_0 (product c c))) (product (product (quotient _let_0 a) c) (product (product (difference a _let_0) a) a))) ) 187.06/193.01 ( a, (product a (product a c)) ) 187.06/193.01 ( a, (product (product (product (difference a (product c c)) a) a) a) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product _let_0 (product a _let_0))) ) 187.06/193.01 ( a, (product (product (quotient (product c c) a) c) a) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product a (product a (product _let_0 _let_0)))) ) 187.06/193.01 ( a, (product a (product a (product a (quotient (product c c) a)))) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product (product a _let_0) _let_0)) ) 187.06/193.01 ( a, (let ((_let_0 (product c c))) (product (product (difference a _let_0) a) (product (product (product a (quotient _let_0 a)) a) a))) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 (product _let_0 a)) _let_0)) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product _let_0 (product _let_0 (product _let_0 a)))) ) 187.06/193.01 ( a, (product (product (product a (product a (difference a (product c c)))) (product a a)) b) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product (product (product a _let_0) _let_0) _let_0)) ) 187.06/193.01 ( a, (product (product c (product a a)) (quotient (product c c) a)) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product (product (product a _let_0) _let_0) (product (product _let_0 c) (product _let_0 _let_0)))) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 (product _let_0 a)) (product (product a c) (product a a)))) ) 187.06/193.01 ( a, (product (product (product (difference a (product c c)) a) a) (product c (product a a))) ) 187.06/193.01 ( a, (let ((_let_0 (difference a (product c c)))) (product (quotient (product c c) a) (product _let_0 (product (product _let_0 a) a)))) ) 187.06/193.01 ( a, (product c (product a (product a (product a (difference a (product c c)))))) ) 187.06/193.01 ( a, (product c (product (product a c) b)) ) 187.06/193.01 ( a, (let ((_let_0 (quotient (product c c) a))) (product (product (difference a (product c c)) a) (product (product (product _let_0 _let_0) a) a))) ) 187.06/193.01 ( a, (let ((_let_0 (product c c))) (let ((_let_1 (quotient _let_0 a))) (product (product (product (product a _let_1) a) a) (product (product _let_1 c) (product (product (difference a _let_0) a) a))))) ) 187.06/193.01 ( a, (let ((_let_0 (product c c))) (product (product a (product a (product a (quotient _let_0 a)))) (product (product a c) (product a (product a (difference a _let_0)))))) ) 187.06/193.01 ( a, (product c (product c a)) ) 187.06/193.01 ( a, (let ((_let_0 (product c a))) (product _let_0 (product _let_0 (product a (product a (quotient (product c c) a)))))) ) 187.06/193.01 ( a, (product (product (product a a) b) (product (product a (quotient (product c c) a)) c)) ) 187.06/193.01 ( a, (let ((_let_0 (product (product a (quotient (product c c) a)) c))) (product (product (product (product a a) b) _let_0) _let_0)) ) 187.06/193.01 ( a, (product (product a (product a (quotient (product c c) a))) a) ) 187.06/193.01 ( b, a ) 187.06/193.01 ( b, c ) 187.06/193.01 ( b, (product a c) ) 187.06/193.01 ( b, (product (product (difference a (product c c)) a) a) ) 187.06/193.01 ( b, (let ((_let_0 (product c c))) (product (product (quotient _let_0 a) c) (product (product (difference a _let_0) a) a))) ) 187.06/193.01 ( b, (product a (product a c)) ) 187.06/193.01 ( b, (product (product a (quotient (product c c) a)) c) ) 187.06/193.01 ( b, (product (product (product (difference a (product c c)) a) a) a) ) 187.06/193.01 ( b, (product (product (quotient (product c c) a) c) a) ) 187.06/193.01 ( b, (product c (product a a)) ) 187.06/193.01 ( b, (product (product (product a (quotient (product c c) a)) a) a) ) 187.06/193.01 ( b, (product (product c a) a) ) 187.06/193.01 ( b, (let ((_let_0 (product c c))) (let ((_let_1 (quotient _let_0 a))) (product (product _let_1 (product a _let_1)) (product (difference a _let_0) a)))) ) 187.06/193.01 ( b, (let ((_let_0 (product c c))) (product (product (product (product a (quotient _let_0 a)) a) a) (product (difference a _let_0) a))) ) 187.06/193.01 ( b, (let ((_let_0 (product (product a (quotient (product c c) a)) c))) (product _let_0 (product _let_0 (product (product a a) b)))) ) 187.06/193.01 ( b, (let ((_let_0 (product c c))) (product (product (difference a _let_0) a) (product (product (product a (quotient _let_0 a)) a) a))) ) 187.06/193.01 ( b, (product c (product (product a c) (product a a))) ) 187.06/193.01 ( b, (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 c) (product a (product a _let_0)))) ) 187.06/193.01 ( b, (let ((_let_0 (difference a (product c c)))) (let ((_let_1 (quotient (product c c) a))) (product (product _let_1 (product a _let_1)) (product _let_0 (product (product _let_0 a) a))))) ) 187.06/193.01 ( b, (let ((_let_0 (difference a (product c c)))) (product (product (product (product a (quotient (product c c) a)) a) a) (product _let_0 (product (product _let_0 a) a)))) ) 187.06/193.01 ( b, (let ((_let_0 (quotient (product c c) a))) (product (product (difference a (product c c)) a) (product (product (product _let_0 _let_0) a) a))) ) 187.06/193.01 ( b, (let ((_let_0 (product c c))) (let ((_let_1 (quotient _let_0 a))) (product (product (product (product a _let_1) a) a) (product (product _let_1 c) (product (product (difference a _let_0) a) a))))) ) 187.06/193.02 ( b, (let ((_let_0 (product c c))) (product (product a (quotient _let_0 a)) (product (product a c) (product a (product a (difference a _let_0)))))) ) 187.06/193.02 ( b, (product c (product c a)) ) 187.06/193.02 ( b, (let ((_let_0 (product (quotient (product c c) a) c))) (let ((_let_1 (product a (product a (difference a (product c c)))))) (product _let_1 (product _let_1 (product _let_0 _let_0))))) ) 187.06/193.02 ( b, (let ((_let_0 (product a c))) (let ((_let_1 (product (product (difference a (product c c)) a) a))) (product _let_0 (product _let_0 (product _let_1 _let_1))))) ) 187.06/193.02 ( c, a ) 187.06/193.02 ( c, b ) 187.06/193.02 ( c, c ) 187.06/193.02 ( c, (product a c) ) 187.06/193.02 ( c, skv_1 ) 187.06/193.02 ( c, (difference a (product c c)) ) 187.06/193.02 ( c, (quotient (product c c) a) ) 187.06/193.02 ( c, (product a (quotient (product c c) a)) ) 187.06/193.02 ( c, (product (quotient (product c c) a) c) ) 187.06/193.02 ( c, (product (product (difference a (product c c)) a) a) ) 187.06/193.02 ( c, (product a (product a (product a (difference a (product c c))))) ) 187.06/193.02 ( c, (let ((_let_0 (quotient (product c c) a))) (product (product (product (difference a (product c c)) a) a) (product _let_0 _let_0))) ) 187.06/193.02 ( c, (product (product a c) (product a a)) ) 187.06/193.02 ( c, (product (product (product (difference a (product c c)) a) a) a) ) 187.06/193.02 ( c, (product a (product a (quotient (product c c) a))) ) 187.06/193.02 ( c, (product c (product a a)) ) 187.06/193.02 ( c, (product a (product a (product a (quotient (product c c) a)))) ) 187.06/193.02 ( c, (product c (product a (product a (product a (quotient (product c c) a))))) ) 187.06/193.02 ( c, (product (product c a) a) ) 187.06/193.02 ( c, (product a (product a (product a (product a (quotient (product c c) a))))) ) 187.06/193.02 ( c, (product (product (product (product a (quotient (product c c) a)) a) a) a) ) 187.06/193.02 ( c, (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 (product _let_0 a)) _let_0)) ) 187.06/193.02 ( c, (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 (product _let_0 a)) (product (product a c) (product a a)))) ) 187.06/193.02 ( c, (let ((_let_0 (quotient (product c c) a))) (product a (product (product _let_0 c) (product _let_0 _let_0)))) ) 187.06/193.02 ( c, (product (product (product (difference a (product c c)) a) a) (product c (product a a))) ) 187.06/193.02 ( c, (product c (product a (product a (product a (difference a (product c c)))))) ) 187.06/193.02 ( c, (let ((_let_0 (product c c))) (let ((_let_1 (quotient _let_0 a))) (product (product (product (product a _let_1) a) a) (product (product _let_1 c) (product (product (difference a _let_0) a) a))))) ) 187.06/193.02 ( c, (let ((_let_0 (product c c))) (product (product a (quotient _let_0 a)) (product (product a c) (product a (product a (difference a _let_0)))))) ) 187.06/193.02 ( c, (let ((_let_0 (quotient (product c c) a))) (product (product a (product a (product _let_0 _let_0))) (product a _let_0))) ) 187.06/193.02 ( c, (product c (product c a)) ) 187.06/193.02 ( c, (let ((_let_0 (product (quotient (product c c) a) c))) (let ((_let_1 (product a (product a (difference a (product c c)))))) (product (product (product _let_0 _let_0) _let_1) _let_1))) ) 187.06/193.02 ( c, (let ((_let_0 (quotient (product c c) a))) (let ((_let_1 (product a (product a _let_0)))) (product _let_1 (product _let_1 (product (product (product _let_0 _let_0) a) a))))) ) 187.06/193.02 ( (product a c), a ) 187.06/193.02 ( (product a c), (product a c) ) 187.06/193.02 ( (product a c), skv_1 ) 187.06/193.02 ( (product a c), (product (quotient (product c c) a) skv_1) ) 187.06/193.02 ( (product a c), (product (quotient (product c c) a) c) ) 187.06/193.02 ( (product a c), (product (difference a (product c c)) a) ) 187.06/193.02 ( (product a c), (product (product a c) c) ) 187.06/193.02 ( (product a c), (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 (product _let_0 a)) (product c (product a a)))) ) 187.06/193.02 ( (product a c), (let ((_let_0 (product c c))) (product (product (difference a _let_0) a) (quotient _let_0 a))) ) 187.06/193.02 ( (product a c), (let ((_let_0 (quotient (product c c) a))) (product a (product _let_0 (product a _let_0)))) ) 187.06/193.02 ( (product a c), (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 (product _let_0 a)) c)) ) 187.06/193.02 ( (product a c), (product (product (product (product a (quotient (product c c) a)) a) a) a) ) 187.06/193.02 ( (product a c), (product (product c b) (product a c)) ) 187.06/193.02 ( (product a c), (let ((_let_0 (quotient (product c c) a))) (product a (product (product _let_0 c) (product _let_0 _let_0)))) ) 187.06/193.02 ( (product a c), (let ((_let_0 (product c c))) (let ((_let_1 (quotient _let_0 a))) (product _let_1 (product (product _let_1 c) (product (product (difference a _let_0) a) a))))) ) 187.06/193.02 ( (product c b), (product a c) ) 187.06/193.02 ( (product c b), (product a a) ) 187.06/193.02 ( (product c b), (let ((_let_0 (product c c))) (let ((_let_1 (quotient _let_0 a))) (product (product (product (product a _let_1) a) a) (product (product _let_1 c) (product (product (difference a _let_0) a) a))))) ) 187.06/193.02 ( (product a b), (product a c) ) 187.06/193.02 ( (product a b), (product (product a (product b a)) (product (product a c) (product c a))) ) 187.06/193.02 ( (product a b), (let ((_let_0 (product (product a c) (product c a)))) (product (product (product a (product b a)) _let_0) _let_0)) ) 187.06/193.02 ( skv_1, a ) 187.06/193.02 ( skv_1, c ) 187.06/193.02 ( skv_1, (product a c) ) 187.06/193.02 ( skv_1, (quotient (product c c) a) ) 187.06/193.02 ( skv_1, (product (quotient (product c c) a) c) ) 187.06/193.02 ( skv_1, (product (product a c) c) ) 187.06/193.02 ( skv_1, (let ((_let_0 (product c c))) (product (product (quotient _let_0 a) c) (product (product (difference a _let_0) a) a))) ) 187.06/193.02 ( skv_1, (product (product a (quotient (product c c) a)) c) ) 187.06/193.02 ( skv_1, (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 c) (product _let_0 _let_0))) ) 187.06/193.02 ( skv_1, (let ((_let_0 (quotient (product c c) a))) (product _let_0 (product a _let_0))) ) 187.06/193.02 ( skv_1, (product (product (quotient (product c c) a) c) a) ) 187.06/193.02 ( skv_1, (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 (product a _let_0)) _let_0)) ) 187.06/193.02 ( skv_1, (let ((_let_0 (quotient (product c c) a))) (product (product (product a _let_0) _let_0) a)) ) 187.06/193.02 ( skv_1, (let ((_let_0 (quotient (product c c) a))) (product (product (product (product (difference a (product c c)) a) a) (product _let_0 _let_0)) c)) ) 187.06/193.02 ( skv_1, (let ((_let_0 (quotient (product c c) a))) (product (product _let_0 c) (product a (product a _let_0)))) ) 187.06/193.02 ( skv_1, (let ((_let_0 (product c c))) (product a (product (product (quotient _let_0 a) c) (product (product (difference a _let_0) a) a)))) ) 187.06/193.02 ( skv_1, (let ((_let_0 (quotient (product c c) a))) (let ((_let_1 (product a _let_0))) (product (product _let_1 _let_0) (product a _let_1)))) ) 187.06/193.02 ( skv_1, (product (product a (quotient (product c c) a)) (product (product a c) c)) ) 187.06/193.02 ( skv_1, (let ((_let_0 (product c c))) (let ((_let_1 (quotient _let_0 a))) (product _let_1 (product (product _let_1 c) (product (product (difference a _let_0) a) a))))) ) 187.06/193.02 ( skv_1, (let ((_let_0 (product c a))) (product (product (product a (product a (quotient (product c c) a))) _let_0) _let_0)) ) 187.06/193.02 ( skv_1, (let ((_let_0 (product (product a c) (product c a)))) (product (product (product a (product b a)) _let_0) _let_0)) ) 187.06/193.02 ( (product skv_1 a), (product a b) ) 187.06/193.02 ( (product skv_1 a), (product c (quotient (product c c) a)) ) 187.06/193.02 ( (product c c), (product c skv_1) ) 187.06/193.02 ( (product skv_1 c), (product c c) ) 187.06/193.02 ( (product b a), skv_1 ) 187.06/193.02 ( (product b a), (product a skv_1) ) 187.06/193.02 ( (product b a), (product a a) ) 187.06/193.02 ( (product b a), (product c a) ) 187.06/193.02 ( (product b a), (product c (product (product a c) (product a (product a (difference a (product c c)))))) ) 187.06/193.02 ( (product b a), (let ((_let_0 (product (product a c) (product c a)))) (product _let_0 (product _let_0 (product a (product b a))))) ) 187.06/193.02 ( (product (product c b) a), (product (product a c) skv_1) ) 187.06/193.02 ( (product (product c b) a), (product (product a c) a) ) 187.06/193.02 ( (product a a), (product a b) ) 187.06/193.02 ( (product a a), (product a (quotient (product c c) a)) ) 187.06/193.02 ( (product a a), (let ((_let_0 (quotient (product c c) a))) (product _let_0 _let_0)) ) 187.06/193.02 ( (product a a), (product (product a c) (product c a)) ) 187.06/193.02 ( (product a a), (let ((_let_0 (product (difference a (product c c)) a))) (product _let_0 _let_0)) ) 187.06/193.02 ( (product a a), (let ((_let_0 (product (product a c) (product c a)))) (product _let_0 (product _let_0 (product a (product b a))))) ) 187.06/193.02 ( (product a a), (let ((_let_0 (difference a (product c c)))) (product _let_0 _let_0)) ) 187.06/193.02 ( (product a (product a a)), (let ((_let_0 (product c c))) (product (product (difference a _let_0) a) (product a (quotient _let_0 a)))) ) 187.06/193.02 ( (difference a (product c c)), skv_1 ) 187.06/193.02 ( (difference a (product c c)), (difference a (product c c)) ) 187.06/193.02 ( (difference a (product c c)), (quotient (product c c) a) ) 187.06/193.02 ( (difference a (product c c)), (product a (quotient (product c c) a)) ) 187.06/193.02 ( (difference a (product c c)), (product (product a c) a) ) 187.06/193.02 ( (difference a (product c c)), (product (product a c) (product a (product a (difference a (product c c))))) ) 187.06/193.02 ( (difference a (product c c)), (product (product (product (difference a (product c c)) a) a) a) ) 187.06/193.02 ( (difference a (product c c)), (let ((_let_0 (quotient (product c c) a))) (let ((_let_1 (product (product a _let_0) _let_0))) (product _let_1 _let_1))) ) 187.06/193.02 ( (difference a (product c c)), (let ((_let_0 (quotient (product c c) a))) (product (product (product a _let_0) _let_0) a)) ) 187.06/193.02 ( (difference a (product c c)), (let ((_let_0 (quotient (product c c) a))) (product a (product (product a _let_0) _let_0))) ) 187.06/193.02 ( (difference a (product c c)), (let ((_let_0 (quotient (product c c) a))) (product (product (product a _let_0) _let_0) _let_0)) ) 187.06/193.02 ( (difference a 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191.09/195.56 % SZS output end Proof for theBenchmark 191.09/195.58 EOF