TSTP Solution File: SYO390^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO390^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n003.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 18:31:45 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO390^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 28 06:52:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 0.20/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.PHAI0a2QE7/cvc5---1.0.5_19164.smt2
% 0.20/0.52 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.PHAI0a2QE7/cvc5---1.0.5_19164.smt2
% 0.20/0.52 (assume a0 (not (forall ((Xp Bool) (Xq Bool)) (=> (= Xp Xq) (= Xp Xq)))))
% 0.20/0.52 (assume a1 true)
% 0.20/0.52 (step t1 (cl (not (= (not (forall ((Xp Bool) (Xq Bool)) (=> (= Xp Xq) (= Xp Xq)))) false)) (not (not (forall ((Xp Bool) (Xq Bool)) (=> (= Xp Xq) (= Xp Xq))))) false) :rule equiv_pos2)
% 0.20/0.52 (step t2 (cl (= (forall ((Xp Bool) (Xq Bool)) (=> (= Xp Xq) (= Xp Xq))) (forall ((Xp Bool) (Xq Bool)) (or (= (not Xp) Xq) (= Xp Xq))))) :rule all_simplify)
% 0.20/0.52 (anchor :step t3 :args ((Xp Bool) (:= Xp Xp) (Xq Bool) (:= Xq Xq)))
% 0.20/0.52 (step t3.t1 (cl (= Xp Xp)) :rule refl)
% 0.20/0.52 (step t3.t2 (cl (= Xq Xq)) :rule refl)
% 0.20/0.52 (step t3.t3 (cl (= (= (not Xp) Xq) (= Xq (not Xp)))) :rule all_simplify)
% 0.20/0.52 (step t3.t4 (cl (= (= Xp Xq) (= Xp Xq))) :rule refl)
% 0.20/0.52 (step t3.t5 (cl (= (or (= (not Xp) Xq) (= Xp Xq)) (or (= Xq (not Xp)) (= Xp Xq)))) :rule cong :premises (t3.t3 t3.t4))
% 0.20/0.52 (step t3 (cl (= (forall ((Xp Bool) (Xq Bool)) (or (= (not Xp) Xq) (= Xp Xq))) (forall ((Xp Bool) (Xq Bool)) (or (= Xq (not Xp)) (= Xp Xq))))) :rule bind)
% 0.20/0.52 (step t4 (cl (= (forall ((Xp Bool) (Xq Bool)) (or (= Xq (not Xp)) (= Xp Xq))) (forall ((Xp Bool)) (or (= Xp (not Xp)) (= Xp Xp))))) :rule all_simplify)
% 0.20/0.52 (anchor :step t5 :args ((Xp Bool) (:= Xp Xp)))
% 0.20/0.52 (step t5.t1 (cl (= Xp Xp)) :rule refl)
% 0.20/0.52 (step t5.t2 (cl (= (= Xp (not Xp)) false)) :rule all_simplify)
% 0.20/0.52 (step t5.t3 (cl (= (= Xp Xp) true)) :rule all_simplify)
% 0.20/0.52 (step t5.t4 (cl (= (or (= Xp (not Xp)) (= Xp Xp)) (or false true))) :rule cong :premises (t5.t2 t5.t3))
% 0.20/0.52 (step t5.t5 (cl (= (or false true) true)) :rule all_simplify)
% 0.20/0.52 (step t5.t6 (cl (= (or (= Xp (not Xp)) (= Xp Xp)) true)) :rule trans :premises (t5.t4 t5.t5))
% 0.20/0.52 (step t5 (cl (= (forall ((Xp Bool)) (or (= Xp (not Xp)) (= Xp Xp))) (forall ((Xp Bool)) true))) :rule bind)
% 0.20/0.52 (step t6 (cl (= (forall ((Xp Bool)) true) true)) :rule all_simplify)
% 0.20/0.52 (step t7 (cl (= (forall ((Xp Bool)) (or (= Xp (not Xp)) (= Xp Xp))) true)) :rule trans :premises (t5 t6))
% 0.20/0.52 (step t8 (cl (= (forall ((Xp Bool) (Xq Bool)) (or (= Xq (not Xp)) (= Xp Xq))) true)) :rule trans :premises (t4 t7))
% 0.20/0.52 (step t9 (cl (= (forall ((Xp Bool) (Xq Bool)) (or (= (not Xp) Xq) (= Xp Xq))) true)) :rule trans :premises (t3 t8))
% 0.20/0.52 (step t10 (cl (= (forall ((Xp Bool) (Xq Bool)) (=> (= Xp Xq) (= Xp Xq))) true)) :rule trans :premises (t2 t9))
% 0.20/0.52 (step t11 (cl (= (not (forall ((Xp Bool) (Xq Bool)) (=> (= Xp Xq) (= Xp Xq)))) (not true))) :rule cong :premises (t10))
% 0.20/0.52 (step t12 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.52 (step t13 (cl (= (not (forall ((Xp Bool) (Xq Bool)) (=> (= Xp Xq) (= Xp Xq)))) false)) :rule trans :premises (t11 t12))
% 0.20/0.52 (step t14 (cl false) :rule resolution :premises (t1 t13 a0))
% 0.20/0.52 (step t15 (cl (not false)) :rule false)
% 0.20/0.52 (step t16 (cl) :rule resolution :premises (t14 t15))
% 0.20/0.52
% 0.20/0.52 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.PHAI0a2QE7/cvc5---1.0.5_19164.smt2
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------