TSTP Solution File: ARI495_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI495_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n013.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 0.20s 0.52s
% Output : Proof 0.20s
% 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 : ARI495_1 : TPTP v8.2.0. Released v5.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 27 05:05:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 0.20/0.52 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.fsIYxKJ8nY/cvc5---1.0.5_23797.smt2
% 0.20/0.52 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.fsIYxKJ8nY/cvc5---1.0.5_23797.smt2
% 0.20/0.52 (assume a0 (not (exists ((X Real) (Y Real)) (= (+ (* (/ 16 5) X) (* (/ 34 5) Y)) (/ 273 25)))))
% 0.20/0.52 (assume a1 true)
% 0.20/0.52 (step t1 (cl (not (= (not (exists ((X Real) (Y Real)) (= (+ (* (/ 16 5) X) (* (/ 34 5) Y)) (/ 273 25)))) false)) (not (not (exists ((X Real) (Y Real)) (= (+ (* (/ 16 5) X) (* (/ 34 5) Y)) (/ 273 25))))) false) :rule equiv_pos2)
% 0.20/0.52 (anchor :step t2 :args ((X Real) (:= X X) (Y Real) (:= Y Y)))
% 0.20/0.52 (step t2.t1 (cl (= X X)) :rule refl)
% 0.20/0.52 (step t2.t2 (cl (= Y Y)) :rule refl)
% 0.20/0.52 (step t2.t3 (cl (= (= (+ (* (/ 16 5) X) (* (/ 34 5) Y)) (/ 273 25)) (= X (+ (/ 273 80) (* (/ (- 17) 8) Y))))) :rule all_simplify)
% 0.20/0.52 (step t2 (cl (= (exists ((X Real) (Y Real)) (= (+ (* (/ 16 5) X) (* (/ 34 5) Y)) (/ 273 25))) (exists ((X Real) (Y Real)) (= X (+ (/ 273 80) (* (/ (- 17) 8) Y)))))) :rule bind)
% 0.20/0.52 (step t3 (cl (= (exists ((X Real) (Y Real)) (= X (+ (/ 273 80) (* (/ (- 17) 8) Y)))) (not (forall ((X Real) (Y Real)) (not (= X (+ (/ 273 80) (* (/ (- 17) 8) Y)))))))) :rule all_simplify)
% 0.20/0.52 (step t4 (cl (= (forall ((X Real) (Y Real)) (not (= X (+ (/ 273 80) (* (/ (- 17) 8) Y))))) (forall ((Y Real)) (not (= (+ (/ 273 80) (* (/ (- 17) 8) Y)) (+ (/ 273 80) (* (/ (- 17) 8) Y))))))) :rule all_simplify)
% 0.20/0.52 (anchor :step t5 :args ((Y Real) (:= Y Y)))
% 0.20/0.52 (step t5.t1 (cl (= Y Y)) :rule refl)
% 0.20/0.52 (step t5.t2 (cl (= (= (+ (/ 273 80) (* (/ (- 17) 8) Y)) (+ (/ 273 80) (* (/ (- 17) 8) Y))) true)) :rule all_simplify)
% 0.20/0.52 (step t5.t3 (cl (= (not (= (+ (/ 273 80) (* (/ (- 17) 8) Y)) (+ (/ 273 80) (* (/ (- 17) 8) Y)))) (not true))) :rule cong :premises (t5.t2))
% 0.20/0.52 (step t5.t4 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.52 (step t5.t5 (cl (= (not (= (+ (/ 273 80) (* (/ (- 17) 8) Y)) (+ (/ 273 80) (* (/ (- 17) 8) Y)))) false)) :rule trans :premises (t5.t3 t5.t4))
% 0.20/0.52 (step t5 (cl (= (forall ((Y Real)) (not (= (+ (/ 273 80) (* (/ (- 17) 8) Y)) (+ (/ 273 80) (* (/ (- 17) 8) Y))))) (forall ((Y Real)) false))) :rule bind)
% 0.20/0.52 (step t6 (cl (= (forall ((Y Real)) false) false)) :rule all_simplify)
% 0.20/0.52 (step t7 (cl (= (forall ((Y Real)) (not (= (+ (/ 273 80) (* (/ (- 17) 8) Y)) (+ (/ 273 80) (* (/ (- 17) 8) Y))))) false)) :rule trans :premises (t5 t6))
% 0.20/0.52 (step t8 (cl (= (forall ((X Real) (Y Real)) (not (= X (+ (/ 273 80) (* (/ (- 17) 8) Y))))) false)) :rule trans :premises (t4 t7))
% 0.20/0.52 (step t9 (cl (= (not (forall ((X Real) (Y Real)) (not (= X (+ (/ 273 80) (* (/ (- 17) 8) Y)))))) (not false))) :rule cong :premises (t8))
% 0.20/0.52 (step t10 (cl (= (not false) true)) :rule all_simplify)
% 0.20/0.52 (step t11 (cl (= (not (forall ((X Real) (Y Real)) (not (= X (+ (/ 273 80) (* (/ (- 17) 8) Y)))))) true)) :rule trans :premises (t9 t10))
% 0.20/0.52 (step t12 (cl (= (exists ((X Real) (Y Real)) (= X (+ (/ 273 80) (* (/ (- 17) 8) Y)))) true)) :rule trans :premises (t3 t11))
% 0.20/0.52 (step t13 (cl (= (exists ((X Real) (Y Real)) (= (+ (* (/ 16 5) X) (* (/ 34 5) Y)) (/ 273 25))) true)) :rule trans :premises (t2 t12))
% 0.20/0.52 (step t14 (cl (= (not (exists ((X Real) (Y Real)) (= (+ (* (/ 16 5) X) (* (/ 34 5) Y)) (/ 273 25)))) (not true))) :rule cong :premises (t13))
% 0.20/0.52 (step t15 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.52 (step t16 (cl (= (not (exists ((X Real) (Y Real)) (= (+ (* (/ 16 5) X) (* (/ 34 5) Y)) (/ 273 25)))) false)) :rule trans :premises (t14 t15))
% 0.20/0.52 (step t17 (cl false) :rule resolution :premises (t1 t16 a0))
% 0.20/0.52 (step t18 (cl (not false)) :rule false)
% 0.20/0.52 (step t19 (cl) :rule resolution :premises (t17 t18))
% 0.20/0.52
% 0.20/0.52 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.fsIYxKJ8nY/cvc5---1.0.5_23797.smt2
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
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