TSTP Solution File: ARI278_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI278_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n032.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 16:33:33 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ARI278_1 : TPTP v8.2.0. Released v5.0.0.
% 0.05/0.10 % Command : do_cvc5 %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 27 05:34:23 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.14/0.39 %----Proving TF0_ARI
% 0.14/0.40 --- Run --finite-model-find --decision=internal at 15...
% 0.14/0.40 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.Zd01YAZf1c/cvc5---1.0.5_23299.smt2
% 0.14/0.40 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.Zd01YAZf1c/cvc5---1.0.5_23299.smt2
% 0.14/0.40 (assume a0 (not (forall ((X Real)) (=> (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3))))))
% 0.14/0.40 (assume a1 true)
% 0.14/0.40 (step t1 (cl (not (= (not (forall ((X Real)) (=> (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3))))) false)) (not (not (forall ((X Real)) (=> (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3)))))) false) :rule equiv_pos2)
% 0.14/0.40 (anchor :step t2 :args ((X Real) (:= X X)))
% 0.14/0.40 (step t2.t1 (cl (= X X)) :rule refl)
% 0.14/0.40 (step t2.t2 (cl (= (- (/ 5 12) (/ 1 12)) (+ (/ 5 12) (* (- 1.0) (/ 1 12))))) :rule all_simplify)
% 0.14/0.40 (step t2.t3 (cl (= (/ 5 12) (/ 5 12))) :rule refl)
% 0.14/0.40 (step t2.t4 (cl (= (* (- 1.0) (/ 1 12)) (/ (- 1) 12))) :rule all_simplify)
% 0.14/0.40 (step t2.t5 (cl (= (+ (/ 5 12) (* (- 1.0) (/ 1 12))) (+ (/ 5 12) (/ (- 1) 12)))) :rule cong :premises (t2.t3 t2.t4))
% 0.14/0.40 (step t2.t6 (cl (= (+ (/ 5 12) (/ (- 1) 12)) (/ 1 3))) :rule all_simplify)
% 0.14/0.40 (step t2.t7 (cl (= (+ (/ 5 12) (* (- 1.0) (/ 1 12))) (/ 1 3))) :rule trans :premises (t2.t5 t2.t6))
% 0.14/0.40 (step t2.t8 (cl (= (- (/ 5 12) (/ 1 12)) (/ 1 3))) :rule trans :premises (t2.t2 t2.t7))
% 0.14/0.40 (step t2.t9 (cl (= X X)) :rule refl)
% 0.14/0.40 (step t2.t10 (cl (= (= (- (/ 5 12) (/ 1 12)) X) (= (/ 1 3) X))) :rule cong :premises (t2.t8 t2.t9))
% 0.14/0.40 (step t2.t11 (cl (= (= (/ 1 3) X) (= X (/ 1 3)))) :rule all_simplify)
% 0.14/0.40 (step t2.t12 (cl (= (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3)))) :rule trans :premises (t2.t10 t2.t11))
% 0.14/0.40 (step t2.t13 (cl (= (= X (/ 1 3)) (= X (/ 1 3)))) :rule refl)
% 0.14/0.40 (step t2.t14 (cl (= (=> (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3))) (=> (= X (/ 1 3)) (= X (/ 1 3))))) :rule cong :premises (t2.t12 t2.t13))
% 0.14/0.40 (step t2 (cl (= (forall ((X Real)) (=> (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3)))) (forall ((X Real)) (=> (= X (/ 1 3)) (= X (/ 1 3)))))) :rule bind)
% 0.14/0.40 (step t3 (cl (= (forall ((X Real)) (=> (= X (/ 1 3)) (= X (/ 1 3)))) (forall ((X Real)) true))) :rule all_simplify)
% 0.14/0.40 (step t4 (cl (= (forall ((X Real)) true) true)) :rule all_simplify)
% 0.14/0.40 (step t5 (cl (= (forall ((X Real)) (=> (= X (/ 1 3)) (= X (/ 1 3)))) true)) :rule trans :premises (t3 t4))
% 0.14/0.40 (step t6 (cl (= (forall ((X Real)) (=> (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3)))) true)) :rule trans :premises (t2 t5))
% 0.14/0.40 (step t7 (cl (= (not (forall ((X Real)) (=> (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3))))) (not true))) :rule cong :premises (t6))
% 0.14/0.40 (step t8 (cl (= (not true) false)) :rule all_simplify)
% 0.14/0.40 (step t9 (cl (= (not (forall ((X Real)) (=> (= (- (/ 5 12) (/ 1 12)) X) (= X (/ 1 3))))) false)) :rule trans :premises (t7 t8))
% 0.14/0.40 (step t10 (cl false) :rule resolution :premises (t1 t9 a0))
% 0.14/0.40 (step t11 (cl (not false)) :rule false)
% 0.14/0.40 (step t12 (cl) :rule resolution :premises (t10 t11))
% 0.14/0.40
% 0.14/0.40 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.Zd01YAZf1c/cvc5---1.0.5_23299.smt2
% 0.14/0.40 % cvc5---1.0.5 exiting
% 0.14/0.41 % cvc5---1.0.5 exiting
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