TSTP Solution File: ARI557_1 by cvc5---1.0.5
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% File : cvc5---1.0.5
% Problem : ARI557_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n019.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 16:34:07 EDT 2024
% Result : Theorem 0.36s 0.54s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI557_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 27 05:26:54 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_ARI
% 0.36/0.54 --- Run --finite-model-find --decision=internal at 15...
% 0.36/0.54 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.fbqMXCJOXB/cvc5---1.0.5_7803.smt2
% 0.36/0.54 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.fbqMXCJOXB/cvc5---1.0.5_7803.smt2
% 0.36/0.54 (assume a0 (not (exists ((X Real)) (and (= (* X (/ 3 4)) (/ 3 7)) (< (/ 1 2) X)))))
% 0.36/0.54 (assume a1 true)
% 0.36/0.54 (step t1 (cl (not (= (not (exists ((X Real)) (and (= (* X (/ 3 4)) (/ 3 7)) (< (/ 1 2) X)))) false)) (not (not (exists ((X Real)) (and (= (* X (/ 3 4)) (/ 3 7)) (< (/ 1 2) X))))) false) :rule equiv_pos2)
% 0.36/0.54 (anchor :step t2 :args ((X Real) (:= X X)))
% 0.36/0.54 (step t2.t1 (cl (= X X)) :rule refl)
% 0.36/0.54 (step t2.t2 (cl (= (* X (/ 3 4)) (* (/ 3 4) X))) :rule all_simplify)
% 0.36/0.54 (step t2.t3 (cl (= (/ 3 7) (/ 3 7))) :rule refl)
% 0.36/0.54 (step t2.t4 (cl (= (= (* X (/ 3 4)) (/ 3 7)) (= (* (/ 3 4) X) (/ 3 7)))) :rule cong :premises (t2.t2 t2.t3))
% 0.36/0.54 (step t2.t5 (cl (= (= (* (/ 3 4) X) (/ 3 7)) (= X (/ 4 7)))) :rule all_simplify)
% 0.36/0.54 (step t2.t6 (cl (= (= (* X (/ 3 4)) (/ 3 7)) (= X (/ 4 7)))) :rule trans :premises (t2.t4 t2.t5))
% 0.36/0.54 (step t2.t7 (cl (= (< (/ 1 2) X) (not (>= (/ 1 2) X)))) :rule all_simplify)
% 0.36/0.54 (step t2.t8 (cl (= (>= (/ 1 2) X) (>= (* (- 1) X) (/ (- 1) 2)))) :rule all_simplify)
% 0.36/0.54 (step t2.t9 (cl (= (not (>= (/ 1 2) X)) (not (>= (* (- 1) X) (/ (- 1) 2))))) :rule cong :premises (t2.t8))
% 0.36/0.54 (step t2.t10 (cl (= (< (/ 1 2) X) (not (>= (* (- 1) X) (/ (- 1) 2))))) :rule trans :premises (t2.t7 t2.t9))
% 0.36/0.54 (step t2.t11 (cl (= (and (= (* X (/ 3 4)) (/ 3 7)) (< (/ 1 2) X)) (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2)))))) :rule cong :premises (t2.t6 t2.t10))
% 0.36/0.54 (step t2 (cl (= (exists ((X Real)) (and (= (* X (/ 3 4)) (/ 3 7)) (< (/ 1 2) X))) (exists ((X Real)) (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2))))))) :rule bind)
% 0.36/0.54 (step t3 (cl (= (exists ((X Real)) (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2))))) (not (forall ((X Real)) (not (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2))))))))) :rule all_simplify)
% 0.36/0.54 (step t4 (cl (= (forall ((X Real)) (not (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2)))))) (forall ((X Real)) (or (not (= X (/ 4 7))) (>= (* (- 1) X) (/ (- 1) 2)))))) :rule all_simplify)
% 0.36/0.54 (step t5 (cl (= (forall ((X Real)) (or (not (= X (/ 4 7))) (>= (* (- 1) X) (/ (- 1) 2)))) (or (not (= (/ 4 7) (/ 4 7))) (>= (* (- 1) (/ 4 7)) (/ (- 1) 2))))) :rule all_simplify)
% 0.36/0.54 (step t6 (cl (= (= (/ 4 7) (/ 4 7)) true)) :rule all_simplify)
% 0.36/0.54 (step t7 (cl (= (not (= (/ 4 7) (/ 4 7))) (not true))) :rule cong :premises (t6))
% 0.36/0.54 (step t8 (cl (= (not true) false)) :rule all_simplify)
% 0.36/0.54 (step t9 (cl (= (not (= (/ 4 7) (/ 4 7))) false)) :rule trans :premises (t7 t8))
% 0.36/0.54 (step t10 (cl (= (* (- 1) (/ 4 7)) (/ (- 4) 7))) :rule all_simplify)
% 0.36/0.54 (step t11 (cl (= (/ (- 1) 2) (/ (- 1) 2))) :rule refl)
% 0.36/0.54 (step t12 (cl (= (>= (* (- 1) (/ 4 7)) (/ (- 1) 2)) (>= (/ (- 4) 7) (/ (- 1) 2)))) :rule cong :premises (t10 t11))
% 0.36/0.54 (step t13 (cl (= (>= (/ (- 4) 7) (/ (- 1) 2)) false)) :rule all_simplify)
% 0.36/0.54 (step t14 (cl (= (>= (* (- 1) (/ 4 7)) (/ (- 1) 2)) false)) :rule trans :premises (t12 t13))
% 0.36/0.54 (step t15 (cl (= (or (not (= (/ 4 7) (/ 4 7))) (>= (* (- 1) (/ 4 7)) (/ (- 1) 2))) (or false false))) :rule cong :premises (t9 t14))
% 0.36/0.54 (step t16 (cl (= (or false false) false)) :rule all_simplify)
% 0.36/0.54 (step t17 (cl (= (or (not (= (/ 4 7) (/ 4 7))) (>= (* (- 1) (/ 4 7)) (/ (- 1) 2))) false)) :rule trans :premises (t15 t16))
% 0.36/0.54 (step t18 (cl (= (forall ((X Real)) (or (not (= X (/ 4 7))) (>= (* (- 1) X) (/ (- 1) 2)))) false)) :rule trans :premises (t5 t17))
% 0.36/0.54 (step t19 (cl (= (forall ((X Real)) (not (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2)))))) false)) :rule trans :premises (t4 t18))
% 0.36/0.54 (step t20 (cl (= (not (forall ((X Real)) (not (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2))))))) (not false))) :rule cong :premises (t19))
% 0.36/0.54 (step t21 (cl (= (not false) true)) :rule all_simplify)
% 0.36/0.54 (step t22 (cl (= (not (forall ((X Real)) (not (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2))))))) true)) :rule trans :premises (t20 t21))
% 0.36/0.54 (step t23 (cl (= (exists ((X Real)) (and (= X (/ 4 7)) (not (>= (* (- 1) X) (/ (- 1) 2))))) true)) :rule trans :premises (t3 t22))
% 0.36/0.54 (step t24 (cl (= (exists ((X Real)) (and (= (* X (/ 3 4)) (/ 3 7)) (< (/ 1 2) X))) true)) :rule trans :premises (t2 t23))
% 0.36/0.54 (step t25 (cl (= (not (exists ((X Real)) (and (= (* X (/ 3 4)) (/ 3 7)) (< (/ 1 2) X)))) (not true))) :rule cong :premises (t24))
% 0.36/0.54 (step t26 (cl (= (not (exists ((X Real)) (and (= (* X (/ 3 4)) (/ 3 7)) (< (/ 1 2) X)))) false)) :rule trans :premises (t25 t8))
% 0.36/0.54 (step t27 (cl false) :rule resolution :premises (t1 t26 a0))
% 0.36/0.54 (step t28 (cl (not false)) :rule false)
% 0.36/0.54 (step t29 (cl) :rule resolution :premises (t27 t28))
% 0.36/0.54
% 0.36/0.54 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.fbqMXCJOXB/cvc5---1.0.5_7803.smt2
% 0.36/0.54 % cvc5---1.0.5 exiting
% 0.36/0.54 % cvc5---1.0.5 exiting
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