TSTP Solution File: ARI355_1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI355_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 16:33:41 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ARI355_1 : TPTP v8.2.0. Released v5.0.0.
% 0.00/0.09 % Command : do_cvc5 %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon May 27 05:26:53 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.37 %----Proving TF0_ARI
% 0.13/0.38 --- Run --finite-model-find --decision=internal at 15...
% 0.13/0.38 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.a5PHj5nf9e/cvc5---1.0.5_6869.smt2
% 0.13/0.38 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.a5PHj5nf9e/cvc5---1.0.5_6869.smt2
% 0.13/0.38 (assume a0 (not (exists ((X Real)) (< X 0.0))))
% 0.13/0.38 (assume a1 true)
% 0.13/0.38 (step t1 (cl (not (= (not (exists ((X Real)) (< X 0.0))) false)) (not (not (exists ((X Real)) (< X 0.0)))) false) :rule equiv_pos2)
% 0.13/0.38 (anchor :step t2 :args ((X Real) (:= X X)))
% 0.13/0.38 (step t2.t1 (cl (= X X)) :rule refl)
% 0.13/0.38 (step t2.t2 (cl (= (< X 0.0) (not (>= X 0.0)))) :rule all_simplify)
% 0.13/0.38 (step t2.t3 (cl (= (>= X 0.0) (>= X 0))) :rule all_simplify)
% 0.13/0.38 (step t2.t4 (cl (= (not (>= X 0.0)) (not (>= X 0)))) :rule cong :premises (t2.t3))
% 0.13/0.38 (step t2.t5 (cl (= (< X 0.0) (not (>= X 0)))) :rule trans :premises (t2.t2 t2.t4))
% 0.13/0.38 (step t2 (cl (= (exists ((X Real)) (< X 0.0)) (exists ((X Real)) (not (>= X 0))))) :rule bind)
% 0.13/0.38 (step t3 (cl (= (exists ((X Real)) (not (>= X 0))) (not (forall ((X Real)) (>= X 0))))) :rule all_simplify)
% 0.13/0.38 (step t4 (cl (= (forall ((X Real)) (>= X 0)) false)) :rule all_simplify)
% 0.13/0.38 (step t5 (cl (= (not (forall ((X Real)) (>= X 0))) (not false))) :rule cong :premises (t4))
% 0.13/0.38 (step t6 (cl (= (not false) true)) :rule all_simplify)
% 0.13/0.38 (step t7 (cl (= (not (forall ((X Real)) (>= X 0))) true)) :rule trans :premises (t5 t6))
% 0.13/0.38 (step t8 (cl (= (exists ((X Real)) (not (>= X 0))) true)) :rule trans :premises (t3 t7))
% 0.13/0.38 (step t9 (cl (= (exists ((X Real)) (< X 0.0)) true)) :rule trans :premises (t2 t8))
% 0.13/0.38 (step t10 (cl (= (not (exists ((X Real)) (< X 0.0))) (not true))) :rule cong :premises (t9))
% 0.13/0.38 (step t11 (cl (= (not true) false)) :rule all_simplify)
% 0.13/0.38 (step t12 (cl (= (not (exists ((X Real)) (< X 0.0))) false)) :rule trans :premises (t10 t11))
% 0.13/0.38 (step t13 (cl false) :rule resolution :premises (t1 t12 a0))
% 0.13/0.38 (step t14 (cl (not false)) :rule false)
% 0.13/0.38 (step t15 (cl) :rule resolution :premises (t13 t14))
% 0.13/0.38
% 0.13/0.38 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.a5PHj5nf9e/cvc5---1.0.5_6869.smt2
% 0.13/0.38 % cvc5---1.0.5 exiting
% 0.13/0.38 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------