TSTP Solution File: ARI173_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI173_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n006.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 16:33:18 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI173_1 : TPTP v8.2.0. Released v5.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n006.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 05:27:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_ARI
% 0.22/0.52 --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.52 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.elkZUROLfa/cvc5---1.0.5_31221.smt2
% 0.22/0.52 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.elkZUROLfa/cvc5---1.0.5_31221.smt2
% 0.22/0.52 (assume a0 (not (exists ((U Int)) (< (+ (* U 3) (- 5)) (- 12)))))
% 0.22/0.52 (assume a1 true)
% 0.22/0.52 (step t1 (cl (not (= (not (exists ((U Int)) (< (+ (* U 3) (- 5)) (- 12)))) false)) (not (not (exists ((U Int)) (< (+ (* U 3) (- 5)) (- 12))))) false) :rule equiv_pos2)
% 0.22/0.52 (anchor :step t2 :args ((U Int) (:= U U)))
% 0.22/0.52 (step t2.t1 (cl (= U U)) :rule refl)
% 0.22/0.52 (step t2.t2 (cl (= (< (+ (* U 3) (- 5)) (- 12)) (not (>= (+ (* U 3) (- 5)) (- 12))))) :rule all_simplify)
% 0.22/0.52 (step t2.t3 (cl (= (* U 3) (* 3 U))) :rule all_simplify)
% 0.22/0.52 (step t2.t4 (cl (= (- 5) (- 5))) :rule refl)
% 0.22/0.52 (step t2.t5 (cl (= (+ (* U 3) (- 5)) (+ (* 3 U) (- 5)))) :rule cong :premises (t2.t3 t2.t4))
% 0.22/0.52 (step t2.t6 (cl (= (+ (* 3 U) (- 5)) (+ (- 5) (* 3 U)))) :rule all_simplify)
% 0.22/0.52 (step t2.t7 (cl (= (+ (* U 3) (- 5)) (+ (- 5) (* 3 U)))) :rule trans :premises (t2.t5 t2.t6))
% 0.22/0.52 (step t2.t8 (cl (= (- 12) (- 12))) :rule refl)
% 0.22/0.52 (step t2.t9 (cl (= (>= (+ (* U 3) (- 5)) (- 12)) (>= (+ (- 5) (* 3 U)) (- 12)))) :rule cong :premises (t2.t7 t2.t8))
% 0.22/0.52 (step t2.t10 (cl (= (>= (+ (- 5) (* 3 U)) (- 12)) (>= U (- 2)))) :rule all_simplify)
% 0.22/0.52 (step t2.t11 (cl (= (>= (+ (* U 3) (- 5)) (- 12)) (>= U (- 2)))) :rule trans :premises (t2.t9 t2.t10))
% 0.22/0.52 (step t2.t12 (cl (= (not (>= (+ (* U 3) (- 5)) (- 12))) (not (>= U (- 2))))) :rule cong :premises (t2.t11))
% 0.22/0.52 (step t2.t13 (cl (= (< (+ (* U 3) (- 5)) (- 12)) (not (>= U (- 2))))) :rule trans :premises (t2.t2 t2.t12))
% 0.22/0.52 (step t2 (cl (= (exists ((U Int)) (< (+ (* U 3) (- 5)) (- 12))) (exists ((U Int)) (not (>= U (- 2)))))) :rule bind)
% 0.22/0.52 (step t3 (cl (= (exists ((U Int)) (not (>= U (- 2)))) (not (forall ((U Int)) (>= U (- 2)))))) :rule all_simplify)
% 0.22/0.52 (step t4 (cl (= (forall ((U Int)) (>= U (- 2))) false)) :rule all_simplify)
% 0.22/0.52 (step t5 (cl (= (not (forall ((U Int)) (>= U (- 2)))) (not false))) :rule cong :premises (t4))
% 0.22/0.52 (step t6 (cl (= (not false) true)) :rule all_simplify)
% 0.22/0.52 (step t7 (cl (= (not (forall ((U Int)) (>= U (- 2)))) true)) :rule trans :premises (t5 t6))
% 0.22/0.52 (step t8 (cl (= (exists ((U Int)) (not (>= U (- 2)))) true)) :rule trans :premises (t3 t7))
% 0.22/0.52 (step t9 (cl (= (exists ((U Int)) (< (+ (* U 3) (- 5)) (- 12))) true)) :rule trans :premises (t2 t8))
% 0.22/0.52 (step t10 (cl (= (not (exists ((U Int)) (< (+ (* U 3) (- 5)) (- 12)))) (not true))) :rule cong :premises (t9))
% 0.22/0.52 (step t11 (cl (= (not true) false)) :rule all_simplify)
% 0.22/0.52 (step t12 (cl (= (not (exists ((U Int)) (< (+ (* U 3) (- 5)) (- 12)))) false)) :rule trans :premises (t10 t11))
% 0.22/0.52 (step t13 (cl false) :rule resolution :premises (t1 t12 a0))
% 0.22/0.52 (step t14 (cl (not false)) :rule false)
% 0.22/0.52 (step t15 (cl) :rule resolution :premises (t13 t14))
% 0.22/0.52
% 0.22/0.52 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.elkZUROLfa/cvc5---1.0.5_31221.smt2
% 0.22/0.52 % cvc5---1.0.5 exiting
% 0.22/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------