TSTP Solution File: ARI488_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI488_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n027.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 0.22s 0.51s
% Output : Proof 0.22s
% 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 : ARI488_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 27 05:39:54 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_ARI
% 0.22/0.51 --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.51 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.xZdiZQ32Hv/cvc5---1.0.5_10696.smt2
% 0.22/0.51 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.xZdiZQ32Hv/cvc5---1.0.5_10696.smt2
% 0.22/0.51 (assume a0 (not (exists ((X Real) (Y Real)) (and (= (+ X Y) (/ 36 5)) (= (- X Y) 0.0)))))
% 0.22/0.51 (assume a1 true)
% 0.22/0.51 (step t1 (cl (not (= (not (exists ((X Real) (Y Real)) (and (= (+ X Y) (/ 36 5)) (= (- X Y) 0.0)))) false)) (not (not (exists ((X Real) (Y Real)) (and (= (+ X Y) (/ 36 5)) (= (- X Y) 0.0))))) false) :rule equiv_pos2)
% 0.22/0.51 (anchor :step t2 :args ((X Real) (:= X X) (Y Real) (:= Y Y)))
% 0.22/0.51 (step t2.t1 (cl (= X X)) :rule refl)
% 0.22/0.51 (step t2.t2 (cl (= Y Y)) :rule refl)
% 0.22/0.51 (step t2.t3 (cl (= (= (+ X Y) (/ 36 5)) (= X (+ (/ 36 5) (* (- 1) Y))))) :rule all_simplify)
% 0.22/0.51 (step t2.t4 (cl (= (- X Y) (+ X (* (- 1.0) Y)))) :rule all_simplify)
% 0.22/0.51 (step t2.t5 (cl (= X X)) :rule refl)
% 0.22/0.51 (step t2.t6 (cl (= (* (- 1.0) Y) (* (- 1) Y))) :rule all_simplify)
% 0.22/0.51 (step t2.t7 (cl (= (+ X (* (- 1.0) Y)) (+ X (* (- 1) Y)))) :rule cong :premises (t2.t5 t2.t6))
% 0.22/0.51 (step t2.t8 (cl (= (- X Y) (+ X (* (- 1) Y)))) :rule trans :premises (t2.t4 t2.t7))
% 0.22/0.51 (step t2.t9 (cl (= 0.0 0.0)) :rule refl)
% 0.22/0.51 (step t2.t10 (cl (= (= (- X Y) 0.0) (= (+ X (* (- 1) Y)) 0.0))) :rule cong :premises (t2.t8 t2.t9))
% 0.22/0.51 (step t2.t11 (cl (= (= (+ X (* (- 1) Y)) 0.0) (= X Y))) :rule all_simplify)
% 0.22/0.51 (step t2.t12 (cl (= (= (- X Y) 0.0) (= X Y))) :rule trans :premises (t2.t10 t2.t11))
% 0.22/0.51 (step t2.t13 (cl (= (and (= (+ X Y) (/ 36 5)) (= (- X Y) 0.0)) (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y)))) :rule cong :premises (t2.t3 t2.t12))
% 0.22/0.51 (step t2 (cl (= (exists ((X Real) (Y Real)) (and (= (+ X Y) (/ 36 5)) (= (- X Y) 0.0))) (exists ((X Real) (Y Real)) (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y))))) :rule bind)
% 0.22/0.51 (step t3 (cl (= (exists ((X Real) (Y Real)) (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y))) (not (forall ((X Real) (Y Real)) (not (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y))))))) :rule all_simplify)
% 0.22/0.51 (step t4 (cl (= (forall ((X Real) (Y Real)) (not (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y)))) (forall ((X Real) (Y Real)) (or (not (= X (+ (/ 36 5) (* (- 1) Y)))) (not (= X Y)))))) :rule all_simplify)
% 0.22/0.51 (step t5 (cl (= (forall ((X Real) (Y Real)) (or (not (= X (+ (/ 36 5) (* (- 1) Y)))) (not (= X Y)))) (or (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))))) (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (* (/ 36 5) (/ 1 2))))))) :rule all_simplify)
% 0.22/0.51 (step t6 (cl (= (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2))))) true)) :rule all_simplify)
% 0.22/0.51 (step t7 (cl (= (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))))) (not true))) :rule cong :premises (t6))
% 0.22/0.51 (step t8 (cl (= (not true) false)) :rule all_simplify)
% 0.22/0.51 (step t9 (cl (= (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))))) false)) :rule trans :premises (t7 t8))
% 0.22/0.51 (step t10 (cl (= (/ 36 5) (/ 36 5))) :rule refl)
% 0.22/0.51 (step t11 (cl (= (- 1) (- 1))) :rule refl)
% 0.22/0.51 (step t12 (cl (= (* (/ 36 5) (/ 1 2)) (/ 18 5))) :rule all_simplify)
% 0.22/0.51 (step t13 (cl (= (* (- 1) (* (/ 36 5) (/ 1 2))) (* (- 1) (/ 18 5)))) :rule cong :premises (t11 t12))
% 0.22/0.51 (step t14 (cl (= (* (- 1) (/ 18 5)) (/ (- 18) 5))) :rule all_simplify)
% 0.22/0.51 (step t15 (cl (= (* (- 1) (* (/ 36 5) (/ 1 2))) (/ (- 18) 5))) :rule trans :premises (t13 t14))
% 0.22/0.51 (step t16 (cl (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (+ (/ 36 5) (/ (- 18) 5)))) :rule cong :premises (t10 t15))
% 0.22/0.51 (step t17 (cl (= (+ (/ 36 5) (/ (- 18) 5)) (/ 18 5))) :rule all_simplify)
% 0.22/0.51 (step t18 (cl (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (/ 18 5))) :rule trans :premises (t16 t17))
% 0.22/0.51 (step t19 (cl (= (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (* (/ 36 5) (/ 1 2))) (= (/ 18 5) (/ 18 5)))) :rule cong :premises (t18 t12))
% 0.22/0.51 (step t20 (cl (= (= (/ 18 5) (/ 18 5)) true)) :rule all_simplify)
% 0.22/0.51 (step t21 (cl (= (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (* (/ 36 5) (/ 1 2))) true)) :rule trans :premises (t19 t20))
% 0.22/0.51 (step t22 (cl (= (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (* (/ 36 5) (/ 1 2)))) (not true))) :rule cong :premises (t21))
% 0.22/0.52 (step t23 (cl (= (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (* (/ 36 5) (/ 1 2)))) false)) :rule trans :premises (t22 t8))
% 0.22/0.52 (step t24 (cl (= (or (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))))) (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (* (/ 36 5) (/ 1 2))))) (or false false))) :rule cong :premises (t9 t23))
% 0.22/0.52 (step t25 (cl (= (or false false) false)) :rule all_simplify)
% 0.22/0.52 (step t26 (cl (= (or (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))))) (not (= (+ (/ 36 5) (* (- 1) (* (/ 36 5) (/ 1 2)))) (* (/ 36 5) (/ 1 2))))) false)) :rule trans :premises (t24 t25))
% 0.22/0.52 (step t27 (cl (= (forall ((X Real) (Y Real)) (or (not (= X (+ (/ 36 5) (* (- 1) Y)))) (not (= X Y)))) false)) :rule trans :premises (t5 t26))
% 0.22/0.52 (step t28 (cl (= (forall ((X Real) (Y Real)) (not (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y)))) false)) :rule trans :premises (t4 t27))
% 0.22/0.52 (step t29 (cl (= (not (forall ((X Real) (Y Real)) (not (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y))))) (not false))) :rule cong :premises (t28))
% 0.22/0.52 (step t30 (cl (= (not false) true)) :rule all_simplify)
% 0.22/0.52 (step t31 (cl (= (not (forall ((X Real) (Y Real)) (not (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y))))) true)) :rule trans :premises (t29 t30))
% 0.22/0.52 (step t32 (cl (= (exists ((X Real) (Y Real)) (and (= X (+ (/ 36 5) (* (- 1) Y))) (= X Y))) true)) :rule trans :premises (t3 t31))
% 0.22/0.52 (step t33 (cl (= (exists ((X Real) (Y Real)) (and (= (+ X Y) (/ 36 5)) (= (- X Y) 0.0))) true)) :rule trans :premises (t2 t32))
% 0.22/0.52 (step t34 (cl (= (not (exists ((X Real) (Y Real)) (and (= (+ X Y) (/ 36 5)) (= (- X Y) 0.0)))) (not true))) :rule cong :premises (t33))
% 0.22/0.52 (step t35 (cl (= (not (exists ((X Real) (Y Real)) (and (= (+ X Y) (/ 36 5)) (= (- X Y) 0.0)))) false)) :rule trans :premises (t34 t8))
% 0.22/0.52 (step t36 (cl false) :rule resolution :premises (t1 t35 a0))
% 0.22/0.52 (step t37 (cl (not false)) :rule false)
% 0.22/0.52 (step t38 (cl) :rule resolution :premises (t36 t37))
% 0.22/0.52
% 0.22/0.52 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.xZdiZQ32Hv/cvc5---1.0.5_10696.smt2
% 0.22/0.52 % cvc5---1.0.5 exiting
% 0.22/0.52 % cvc5---1.0.5 exiting
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