TSTP Solution File: ARI493_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI493_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n010.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 0.19s 0.50s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ARI493_1 : TPTP v8.2.0. Released v5.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 27 05:33:24 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_ARI
% 0.19/0.50 --- Run --finite-model-find --decision=internal at 15...
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.qIEeI6k52O/cvc5---1.0.5_26907.smt2
% 0.19/0.50 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.qIEeI6k52O/cvc5---1.0.5_26907.smt2
% 0.19/0.50 (assume a0 (not (exists ((X Real)) (< (+ X X) (/ (- 13) 2)))))
% 0.19/0.50 (assume a1 true)
% 0.19/0.50 (step t1 (cl (not (= (not (exists ((X Real)) (< (+ X X) (/ (- 13) 2)))) false)) (not (not (exists ((X Real)) (< (+ X X) (/ (- 13) 2))))) false) :rule equiv_pos2)
% 0.19/0.50 (anchor :step t2 :args ((X Real) (:= X X)))
% 0.19/0.50 (step t2.t1 (cl (= X X)) :rule refl)
% 0.19/0.50 (step t2.t2 (cl (= (< (+ X X) (/ (- 13) 2)) (not (>= (+ X X) (/ (- 13) 2))))) :rule all_simplify)
% 0.19/0.50 (step t2.t3 (cl (= (+ X X) (* 2 X))) :rule all_simplify)
% 0.19/0.50 (step t2.t4 (cl (= (/ (- 13) 2) (/ (- 13) 2))) :rule refl)
% 0.19/0.50 (step t2.t5 (cl (= (>= (+ X X) (/ (- 13) 2)) (>= (* 2 X) (/ (- 13) 2)))) :rule cong :premises (t2.t3 t2.t4))
% 0.19/0.50 (step t2.t6 (cl (= (>= (* 2 X) (/ (- 13) 2)) (>= X (/ (- 13) 4)))) :rule all_simplify)
% 0.19/0.50 (step t2.t7 (cl (= (>= (+ X X) (/ (- 13) 2)) (>= X (/ (- 13) 4)))) :rule trans :premises (t2.t5 t2.t6))
% 0.19/0.50 (step t2.t8 (cl (= (not (>= (+ X X) (/ (- 13) 2))) (not (>= X (/ (- 13) 4))))) :rule cong :premises (t2.t7))
% 0.19/0.50 (step t2.t9 (cl (= (< (+ X X) (/ (- 13) 2)) (not (>= X (/ (- 13) 4))))) :rule trans :premises (t2.t2 t2.t8))
% 0.19/0.50 (step t2 (cl (= (exists ((X Real)) (< (+ X X) (/ (- 13) 2))) (exists ((X Real)) (not (>= X (/ (- 13) 4)))))) :rule bind)
% 0.19/0.50 (step t3 (cl (= (exists ((X Real)) (not (>= X (/ (- 13) 4)))) (not (forall ((X Real)) (>= X (/ (- 13) 4)))))) :rule all_simplify)
% 0.19/0.50 (step t4 (cl (= (forall ((X Real)) (>= X (/ (- 13) 4))) false)) :rule all_simplify)
% 0.19/0.50 (step t5 (cl (= (not (forall ((X Real)) (>= X (/ (- 13) 4)))) (not false))) :rule cong :premises (t4))
% 0.19/0.50 (step t6 (cl (= (not false) true)) :rule all_simplify)
% 0.19/0.50 (step t7 (cl (= (not (forall ((X Real)) (>= X (/ (- 13) 4)))) true)) :rule trans :premises (t5 t6))
% 0.19/0.50 (step t8 (cl (= (exists ((X Real)) (not (>= X (/ (- 13) 4)))) true)) :rule trans :premises (t3 t7))
% 0.19/0.50 (step t9 (cl (= (exists ((X Real)) (< (+ X X) (/ (- 13) 2))) true)) :rule trans :premises (t2 t8))
% 0.19/0.50 (step t10 (cl (= (not (exists ((X Real)) (< (+ X X) (/ (- 13) 2)))) (not true))) :rule cong :premises (t9))
% 0.19/0.50 (step t11 (cl (= (not true) false)) :rule all_simplify)
% 0.19/0.50 (step t12 (cl (= (not (exists ((X Real)) (< (+ X X) (/ (- 13) 2)))) false)) :rule trans :premises (t10 t11))
% 0.19/0.50 (step t13 (cl false) :rule resolution :premises (t1 t12 a0))
% 0.19/0.50 (step t14 (cl (not false)) :rule false)
% 0.19/0.50 (step t15 (cl) :rule resolution :premises (t13 t14))
% 0.19/0.50
% 0.19/0.50 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.qIEeI6k52O/cvc5---1.0.5_26907.smt2
% 0.19/0.50 % cvc5---1.0.5 exiting
% 0.19/0.51 % cvc5---1.0.5 exiting
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