TSTP Solution File: SYO202^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO202^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n026.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 18:31:01 EDT 2024
% Result : Theorem 0.23s 0.54s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SYO202^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue May 28 07:10:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.23/0.51 %----Proving TH0
% 0.23/0.54 --- Run --ho-elim --full-saturate-quant at 10...
% 0.23/0.54 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.qiIuX4jv5H/cvc5---1.0.5_9326.smt2
% 0.23/0.54 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.qiIuX4jv5H/cvc5---1.0.5_9326.smt2
% 0.23/0.54 (assume a0 (not (not (exists ((Xp (-> Bool Bool))) (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp))))))))
% 0.23/0.54 (assume a1 true)
% 0.23/0.54 (step t1 (cl (not (= (not (not (exists ((Xp (-> Bool Bool))) (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp))))))) false)) (not (not (not (exists ((Xp (-> Bool Bool))) (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp)))))))) false) :rule equiv_pos2)
% 0.23/0.54 (step t2 (cl (= (not (not (exists ((Xp (-> Bool Bool))) (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp))))))) (exists ((Xp (-> Bool Bool))) (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp))))))) :rule all_simplify)
% 0.23/0.54 (anchor :step t3 :args ((Xp (-> Bool Bool)) (:= Xp Xp)))
% 0.23/0.54 (step t3.t1 (cl (= Xp Xp)) :rule refl)
% 0.23/0.54 (step t3.t2 (cl (= Xp Xp)) :rule refl)
% 0.23/0.54 (step t3.t3 (cl (= (= Xp Xp) true)) :rule all_simplify)
% 0.23/0.54 (step t3.t4 (cl (= (@ Xp (= Xp Xp)) (@ Xp true))) :rule cong :premises (t3.t2 t3.t3))
% 0.23/0.54 (step t3.t5 (cl (= (not (@ Xp (= Xp Xp))) (not (@ Xp true)))) :rule cong :premises (t3.t4))
% 0.23/0.54 (step t3.t6 (cl (= (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp)))) (and (@ Xp true) (not (@ Xp true))))) :rule cong :premises (t3.t4 t3.t5))
% 0.23/0.54 (step t3 (cl (= (exists ((Xp (-> Bool Bool))) (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp))))) (exists ((Xp (-> Bool Bool))) (and (@ Xp true) (not (@ Xp true)))))) :rule bind)
% 0.23/0.54 (step t4 (cl (= (exists ((Xp (-> Bool Bool))) (and (@ Xp true) (not (@ Xp true)))) (not (forall ((Xp (-> Bool Bool))) (not (and (@ Xp true) (not (@ Xp true)))))))) :rule all_simplify)
% 0.23/0.54 (step t5 (cl (= (forall ((Xp (-> Bool Bool))) (not (and (@ Xp true) (not (@ Xp true))))) (forall ((Xp (-> Bool Bool))) true))) :rule all_simplify)
% 0.23/0.54 (step t6 (cl (= (forall ((Xp (-> Bool Bool))) true) true)) :rule all_simplify)
% 0.23/0.54 (step t7 (cl (= (forall ((Xp (-> Bool Bool))) (not (and (@ Xp true) (not (@ Xp true))))) true)) :rule trans :premises (t5 t6))
% 0.23/0.54 (step t8 (cl (= (not (forall ((Xp (-> Bool Bool))) (not (and (@ Xp true) (not (@ Xp true)))))) (not true))) :rule cong :premises (t7))
% 0.23/0.54 (step t9 (cl (= (not true) false)) :rule all_simplify)
% 0.23/0.54 (step t10 (cl (= (not (forall ((Xp (-> Bool Bool))) (not (and (@ Xp true) (not (@ Xp true)))))) false)) :rule trans :premises (t8 t9))
% 0.23/0.54 (step t11 (cl (= (exists ((Xp (-> Bool Bool))) (and (@ Xp true) (not (@ Xp true)))) false)) :rule trans :premises (t4 t10))
% 0.23/0.54 (step t12 (cl (= (exists ((Xp (-> Bool Bool))) (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp))))) false)) :rule trans :premises (t3 t11))
% 0.23/0.54 (step t13 (cl (= (not (not (exists ((Xp (-> Bool Bool))) (and (@ Xp (= Xp Xp)) (not (@ Xp (= Xp Xp))))))) false)) :rule trans :premises (t2 t12))
% 0.23/0.54 (step t14 (cl false) :rule resolution :premises (t1 t13 a0))
% 0.23/0.54 (step t15 (cl (not false)) :rule false)
% 0.23/0.54 (step t16 (cl) :rule resolution :premises (t14 t15))
% 0.23/0.54
% 0.23/0.54 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.qiIuX4jv5H/cvc5---1.0.5_9326.smt2
% 0.23/0.54 % cvc5---1.0.5 exiting
% 0.23/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------