TSTP Solution File: ARI494_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI494_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 16:33:58 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI494_1 : TPTP v8.2.0. Released v5.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 27 06:13:09 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_ARI
% 0.21/0.53 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.53 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.Cs89IMqYxK/cvc5---1.0.5_25186.smt2
% 0.21/0.53 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.Cs89IMqYxK/cvc5---1.0.5_25186.smt2
% 0.21/0.53 (assume a0 (not (exists ((X Real)) (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5)))))
% 0.21/0.53 (assume a1 true)
% 0.21/0.53 (step t1 (cl (not (= (not (exists ((X Real)) (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5)))) false)) (not (not (exists ((X Real)) (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5))))) false) :rule equiv_pos2)
% 0.21/0.53 (anchor :step t2 :args ((X Real) (:= X X)))
% 0.21/0.53 (step t2.t1 (cl (= X X)) :rule refl)
% 0.21/0.53 (step t2.t2 (cl (= (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5)) (not (>= (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5))))) :rule all_simplify)
% 0.21/0.53 (step t2.t3 (cl (= (* X (/ 16 5)) (* (/ 16 5) X))) :rule all_simplify)
% 0.21/0.53 (step t2.t4 (cl (= (/ (- 3) 4) (/ (- 3) 4))) :rule refl)
% 0.21/0.53 (step t2.t5 (cl (= (+ (* X (/ 16 5)) (/ (- 3) 4)) (+ (* (/ 16 5) X) (/ (- 3) 4)))) :rule cong :premises (t2.t3 t2.t4))
% 0.21/0.53 (step t2.t6 (cl (= (+ (* (/ 16 5) X) (/ (- 3) 4)) (+ (/ (- 3) 4) (* (/ 16 5) X)))) :rule all_simplify)
% 0.21/0.53 (step t2.t7 (cl (= (+ (* X (/ 16 5)) (/ (- 3) 4)) (+ (/ (- 3) 4) (* (/ 16 5) X)))) :rule trans :premises (t2.t5 t2.t6))
% 0.21/0.53 (step t2.t8 (cl (= (/ (- 64) 5) (/ (- 64) 5))) :rule refl)
% 0.21/0.53 (step t2.t9 (cl (= (>= (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5)) (>= (+ (/ (- 3) 4) (* (/ 16 5) X)) (/ (- 64) 5)))) :rule cong :premises (t2.t7 t2.t8))
% 0.21/0.53 (step t2.t10 (cl (= (>= (+ (/ (- 3) 4) (* (/ 16 5) X)) (/ (- 64) 5)) (>= X (/ (- 241) 64)))) :rule all_simplify)
% 0.21/0.53 (step t2.t11 (cl (= (>= (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5)) (>= X (/ (- 241) 64)))) :rule trans :premises (t2.t9 t2.t10))
% 0.21/0.53 (step t2.t12 (cl (= (not (>= (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5))) (not (>= X (/ (- 241) 64))))) :rule cong :premises (t2.t11))
% 0.21/0.53 (step t2.t13 (cl (= (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5)) (not (>= X (/ (- 241) 64))))) :rule trans :premises (t2.t2 t2.t12))
% 0.21/0.53 (step t2 (cl (= (exists ((X Real)) (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5))) (exists ((X Real)) (not (>= X (/ (- 241) 64)))))) :rule bind)
% 0.21/0.53 (step t3 (cl (= (exists ((X Real)) (not (>= X (/ (- 241) 64)))) (not (forall ((X Real)) (>= X (/ (- 241) 64)))))) :rule all_simplify)
% 0.21/0.53 (step t4 (cl (= (forall ((X Real)) (>= X (/ (- 241) 64))) false)) :rule all_simplify)
% 0.21/0.53 (step t5 (cl (= (not (forall ((X Real)) (>= X (/ (- 241) 64)))) (not false))) :rule cong :premises (t4))
% 0.21/0.53 (step t6 (cl (= (not false) true)) :rule all_simplify)
% 0.21/0.53 (step t7 (cl (= (not (forall ((X Real)) (>= X (/ (- 241) 64)))) true)) :rule trans :premises (t5 t6))
% 0.21/0.53 (step t8 (cl (= (exists ((X Real)) (not (>= X (/ (- 241) 64)))) true)) :rule trans :premises (t3 t7))
% 0.21/0.53 (step t9 (cl (= (exists ((X Real)) (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5))) true)) :rule trans :premises (t2 t8))
% 0.21/0.53 (step t10 (cl (= (not (exists ((X Real)) (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5)))) (not true))) :rule cong :premises (t9))
% 0.21/0.53 (step t11 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.53 (step t12 (cl (= (not (exists ((X Real)) (< (+ (* X (/ 16 5)) (/ (- 3) 4)) (/ (- 64) 5)))) false)) :rule trans :premises (t10 t11))
% 0.21/0.53 (step t13 (cl false) :rule resolution :premises (t1 t12 a0))
% 0.21/0.53 (step t14 (cl (not false)) :rule false)
% 0.21/0.53 (step t15 (cl) :rule resolution :premises (t13 t14))
% 0.21/0.53
% 0.21/0.53 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.Cs89IMqYxK/cvc5---1.0.5_25186.smt2
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
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