TSTP Solution File: SYO190^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO190^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n013.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 18:30:58 EDT 2024
% Result : Theorem 0.25s 0.53s
% Output : Proof 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : SYO190^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.17 % Command : do_cvc5 %s %d
% 0.17/0.38 % Computer : n013.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Tue May 28 07:47:24 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.25/0.51 %----Proving TH0
% 0.25/0.53 --- Run --ho-elim --full-saturate-quant at 10...
% 0.25/0.53 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.zqz9KN5xd0/cvc5---1.0.5_19357.smt2
% 0.25/0.53 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.zqz9KN5xd0/cvc5---1.0.5_19357.smt2
% 0.25/0.53 (assume a0 (not (exists ((Xx Bool) (Xy Bool)) (or Xx Xy))))
% 0.25/0.53 (assume a1 true)
% 0.25/0.53 (step t1 (cl (not (= (not (exists ((Xx Bool) (Xy Bool)) (or Xx Xy))) false)) (not (not (exists ((Xx Bool) (Xy Bool)) (or Xx Xy)))) false) :rule equiv_pos2)
% 0.25/0.53 (step t2 (cl (= (exists ((Xx Bool) (Xy Bool)) (or Xx Xy)) (not (forall ((Xx Bool) (Xy Bool)) (not (or Xx Xy)))))) :rule all_simplify)
% 0.25/0.53 (step t3 (cl (= (forall ((Xx Bool) (Xy Bool)) (not (or Xx Xy))) (forall ((Xx Bool) (Xy Bool)) (and (not Xx) (not Xy))))) :rule all_simplify)
% 0.25/0.53 (step t4 (cl (= (forall ((Xx Bool) (Xy Bool)) (and (not Xx) (not Xy))) (and (forall ((BOUND_VARIABLE_586 Bool) (BOUND_VARIABLE_588 Bool)) (not BOUND_VARIABLE_586)) (forall ((BOUND_VARIABLE_593 Bool) (BOUND_VARIABLE_595 Bool)) (not BOUND_VARIABLE_595))))) :rule all_simplify)
% 0.25/0.53 (step t5 (cl (= (forall ((BOUND_VARIABLE_586 Bool) (BOUND_VARIABLE_588 Bool)) (not BOUND_VARIABLE_586)) (forall ((BOUND_VARIABLE_586 Bool)) (not BOUND_VARIABLE_586)))) :rule all_simplify)
% 0.25/0.53 (step t6 (cl (= (forall ((BOUND_VARIABLE_586 Bool)) (not BOUND_VARIABLE_586)) (not true))) :rule all_simplify)
% 0.25/0.53 (step t7 (cl (= (not true) false)) :rule all_simplify)
% 0.25/0.53 (step t8 (cl (= (forall ((BOUND_VARIABLE_586 Bool)) (not BOUND_VARIABLE_586)) false)) :rule trans :premises (t6 t7))
% 0.25/0.53 (step t9 (cl (= (forall ((BOUND_VARIABLE_586 Bool) (BOUND_VARIABLE_588 Bool)) (not BOUND_VARIABLE_586)) false)) :rule trans :premises (t5 t8))
% 0.25/0.53 (step t10 (cl (= (forall ((BOUND_VARIABLE_593 Bool) (BOUND_VARIABLE_595 Bool)) (not BOUND_VARIABLE_595)) (forall ((BOUND_VARIABLE_595 Bool)) (not BOUND_VARIABLE_595)))) :rule all_simplify)
% 0.25/0.53 (step t11 (cl (= (forall ((BOUND_VARIABLE_595 Bool)) (not BOUND_VARIABLE_595)) (not true))) :rule all_simplify)
% 0.25/0.53 (step t12 (cl (= (forall ((BOUND_VARIABLE_595 Bool)) (not BOUND_VARIABLE_595)) false)) :rule trans :premises (t11 t7))
% 0.25/0.53 (step t13 (cl (= (forall ((BOUND_VARIABLE_593 Bool) (BOUND_VARIABLE_595 Bool)) (not BOUND_VARIABLE_595)) false)) :rule trans :premises (t10 t12))
% 0.25/0.53 (step t14 (cl (= (and (forall ((BOUND_VARIABLE_586 Bool) (BOUND_VARIABLE_588 Bool)) (not BOUND_VARIABLE_586)) (forall ((BOUND_VARIABLE_593 Bool) (BOUND_VARIABLE_595 Bool)) (not BOUND_VARIABLE_595))) (and false false))) :rule cong :premises (t9 t13))
% 0.25/0.53 (step t15 (cl (= (and false false) false)) :rule all_simplify)
% 0.25/0.53 (step t16 (cl (= (and (forall ((BOUND_VARIABLE_586 Bool) (BOUND_VARIABLE_588 Bool)) (not BOUND_VARIABLE_586)) (forall ((BOUND_VARIABLE_593 Bool) (BOUND_VARIABLE_595 Bool)) (not BOUND_VARIABLE_595))) false)) :rule trans :premises (t14 t15))
% 0.25/0.53 (step t17 (cl (= (forall ((Xx Bool) (Xy Bool)) (and (not Xx) (not Xy))) false)) :rule trans :premises (t4 t16))
% 0.25/0.53 (step t18 (cl (= (forall ((Xx Bool) (Xy Bool)) (not (or Xx Xy))) false)) :rule trans :premises (t3 t17))
% 0.25/0.53 (step t19 (cl (= (not (forall ((Xx Bool) (Xy Bool)) (not (or Xx Xy)))) (not false))) :rule cong :premises (t18))
% 0.25/0.53 (step t20 (cl (= (not false) true)) :rule all_simplify)
% 0.25/0.53 (step t21 (cl (= (not (forall ((Xx Bool) (Xy Bool)) (not (or Xx Xy)))) true)) :rule trans :premises (t19 t20))
% 0.25/0.53 (step t22 (cl (= (exists ((Xx Bool) (Xy Bool)) (or Xx Xy)) true)) :rule trans :premises (t2 t21))
% 0.25/0.53 (step t23 (cl (= (not (exists ((Xx Bool) (Xy Bool)) (or Xx Xy))) (not true))) :rule cong :premises (t22))
% 0.25/0.53 (step t24 (cl (= (not (exists ((Xx Bool) (Xy Bool)) (or Xx Xy))) false)) :rule trans :premises (t23 t7))
% 0.25/0.53 (step t25 (cl false) :rule resolution :premises (t1 t24 a0))
% 0.25/0.53 (step t26 (cl (not false)) :rule false)
% 0.25/0.53 (step t27 (cl) :rule resolution :premises (t25 t26))
% 0.25/0.53
% 0.25/0.53 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.zqz9KN5xd0/cvc5---1.0.5_19357.smt2
% 0.25/0.53 % cvc5---1.0.5 exiting
% 0.25/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------