TSTP Solution File: ARI491_1 by cvc5---1.0.5
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% File : cvc5---1.0.5
% Problem : ARI491_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n008.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 16:33:57 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI491_1 : TPTP v8.2.0. Released v5.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 27 05:41:54 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_ARI
% 0.21/0.52 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.orRk2aW3YH/cvc5---1.0.5_12838.smt2
% 0.21/0.52 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.orRk2aW3YH/cvc5---1.0.5_12838.smt2
% 0.21/0.52 (assume a0 (not (forall ((X Real)) (=> (= (+ (/ 29 10) (/ 24 5)) X) (< (/ 15 2) X)))))
% 0.21/0.52 (assume a1 true)
% 0.21/0.52 (step t1 (cl (not (= (not (forall ((X Real)) (=> (= (+ (/ 29 10) (/ 24 5)) X) (< (/ 15 2) X)))) false)) (not (not (forall ((X Real)) (=> (= (+ (/ 29 10) (/ 24 5)) X) (< (/ 15 2) X))))) false) :rule equiv_pos2)
% 0.21/0.52 (anchor :step t2 :args ((X Real) (:= X X)))
% 0.21/0.52 (step t2.t1 (cl (= X X)) :rule refl)
% 0.21/0.52 (step t2.t2 (cl (= (+ (/ 29 10) (/ 24 5)) (/ 77 10))) :rule all_simplify)
% 0.21/0.52 (step t2.t3 (cl (= X X)) :rule refl)
% 0.21/0.52 (step t2.t4 (cl (= (= (+ (/ 29 10) (/ 24 5)) X) (= (/ 77 10) X))) :rule cong :premises (t2.t2 t2.t3))
% 0.21/0.52 (step t2.t5 (cl (= (= (/ 77 10) X) (= X (/ 77 10)))) :rule all_simplify)
% 0.21/0.52 (step t2.t6 (cl (= (= (+ (/ 29 10) (/ 24 5)) X) (= X (/ 77 10)))) :rule trans :premises (t2.t4 t2.t5))
% 0.21/0.52 (step t2.t7 (cl (= (< (/ 15 2) X) (not (>= (/ 15 2) X)))) :rule all_simplify)
% 0.21/0.52 (step t2.t8 (cl (= (>= (/ 15 2) X) (>= (* (- 1) X) (/ (- 15) 2)))) :rule all_simplify)
% 0.21/0.52 (step t2.t9 (cl (= (not (>= (/ 15 2) X)) (not (>= (* (- 1) X) (/ (- 15) 2))))) :rule cong :premises (t2.t8))
% 0.21/0.52 (step t2.t10 (cl (= (< (/ 15 2) X) (not (>= (* (- 1) X) (/ (- 15) 2))))) :rule trans :premises (t2.t7 t2.t9))
% 0.21/0.52 (step t2.t11 (cl (= (=> (= (+ (/ 29 10) (/ 24 5)) X) (< (/ 15 2) X)) (=> (= X (/ 77 10)) (not (>= (* (- 1) X) (/ (- 15) 2)))))) :rule cong :premises (t2.t6 t2.t10))
% 0.21/0.52 (step t2 (cl (= (forall ((X Real)) (=> (= (+ (/ 29 10) (/ 24 5)) X) (< (/ 15 2) X))) (forall ((X Real)) (=> (= X (/ 77 10)) (not (>= (* (- 1) X) (/ (- 15) 2))))))) :rule bind)
% 0.21/0.52 (step t3 (cl (= (forall ((X Real)) (=> (= X (/ 77 10)) (not (>= (* (- 1) X) (/ (- 15) 2))))) (forall ((X Real)) (or (not (= X (/ 77 10))) (not (>= (* (- 1) X) (/ (- 15) 2))))))) :rule all_simplify)
% 0.21/0.52 (step t4 (cl (= (forall ((X Real)) (or (not (= X (/ 77 10))) (not (>= (* (- 1) X) (/ (- 15) 2))))) (or (not (= (/ 77 10) (/ 77 10))) (not (>= (* (- 1) (/ 77 10)) (/ (- 15) 2)))))) :rule all_simplify)
% 0.21/0.52 (step t5 (cl (= (= (/ 77 10) (/ 77 10)) true)) :rule all_simplify)
% 0.21/0.52 (step t6 (cl (= (not (= (/ 77 10) (/ 77 10))) (not true))) :rule cong :premises (t5))
% 0.21/0.52 (step t7 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.52 (step t8 (cl (= (not (= (/ 77 10) (/ 77 10))) false)) :rule trans :premises (t6 t7))
% 0.21/0.52 (step t9 (cl (= (* (- 1) (/ 77 10)) (/ (- 77) 10))) :rule all_simplify)
% 0.21/0.52 (step t10 (cl (= (/ (- 15) 2) (/ (- 15) 2))) :rule refl)
% 0.21/0.52 (step t11 (cl (= (>= (* (- 1) (/ 77 10)) (/ (- 15) 2)) (>= (/ (- 77) 10) (/ (- 15) 2)))) :rule cong :premises (t9 t10))
% 0.21/0.52 (step t12 (cl (= (>= (/ (- 77) 10) (/ (- 15) 2)) false)) :rule all_simplify)
% 0.21/0.52 (step t13 (cl (= (>= (* (- 1) (/ 77 10)) (/ (- 15) 2)) false)) :rule trans :premises (t11 t12))
% 0.21/0.52 (step t14 (cl (= (not (>= (* (- 1) (/ 77 10)) (/ (- 15) 2))) (not false))) :rule cong :premises (t13))
% 0.21/0.52 (step t15 (cl (= (not false) true)) :rule all_simplify)
% 0.21/0.52 (step t16 (cl (= (not (>= (* (- 1) (/ 77 10)) (/ (- 15) 2))) true)) :rule trans :premises (t14 t15))
% 0.21/0.52 (step t17 (cl (= (or (not (= (/ 77 10) (/ 77 10))) (not (>= (* (- 1) (/ 77 10)) (/ (- 15) 2)))) (or false true))) :rule cong :premises (t8 t16))
% 0.21/0.52 (step t18 (cl (= (or false true) true)) :rule all_simplify)
% 0.21/0.52 (step t19 (cl (= (or (not (= (/ 77 10) (/ 77 10))) (not (>= (* (- 1) (/ 77 10)) (/ (- 15) 2)))) true)) :rule trans :premises (t17 t18))
% 0.21/0.52 (step t20 (cl (= (forall ((X Real)) (or (not (= X (/ 77 10))) (not (>= (* (- 1) X) (/ (- 15) 2))))) true)) :rule trans :premises (t4 t19))
% 0.21/0.52 (step t21 (cl (= (forall ((X Real)) (=> (= X (/ 77 10)) (not (>= (* (- 1) X) (/ (- 15) 2))))) true)) :rule trans :premises (t3 t20))
% 0.21/0.52 (step t22 (cl (= (forall ((X Real)) (=> (= (+ (/ 29 10) (/ 24 5)) X) (< (/ 15 2) X))) true)) :rule trans :premises (t2 t21))
% 0.21/0.52 (step t23 (cl (= (not (forall ((X Real)) (=> (= (+ (/ 29 10) (/ 24 5)) X) (< (/ 15 2) X)))) (not true))) :rule cong :premises (t22))
% 0.21/0.52 (step t24 (cl (= (not (forall ((X Real)) (=> (= (+ (/ 29 10) (/ 24 5)) X) (< (/ 15 2) X)))) false)) :rule trans :premises (t23 t7))
% 0.21/0.52 (step t25 (cl false) :rule resolution :premises (t1 t24 a0))
% 0.21/0.52 (step t26 (cl (not false)) :rule false)
% 0.21/0.52 (step t27 (cl) :rule resolution :premises (t25 t26))
% 0.21/0.52
% 0.21/0.52 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.orRk2aW3YH/cvc5---1.0.5_12838.smt2
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
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