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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO087^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 Jun  3 09:12:01 AM UTC 2026

% Result   : Theorem 0.31s 0.55s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO087^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n018.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 23:58:05 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TH0
% 0.31/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.31/0.55  % SZS status Theorem
% 0.31/0.55  % SZS output start Proof
% 0.31/0.55  (
% 0.31/0.55  (declare-sort $$unsorted 0)
% 0.31/0.55  (declare-const tptp.cP Bool)
% 0.31/0.55  (declare-const tptp.cQ Bool)
% 0.31/0.55  (declare-const tptp.cR Bool)
% 0.31/0.55  (define @t1 () (not tptp.cQ))
% 0.31/0.55  (define @t2 () (not tptp.cP))
% 0.31/0.55  (define @t3 () (and tptp.cP tptp.cQ))
% 0.31/0.55  (define @t4 () (or @t3 (and @t2 @t1)))
% 0.31/0.55  (define @t5 () (=> @t4 tptp.cR))
% 0.31/0.55  (define @t6 () (and @t1 tptp.cR))
% 0.31/0.55  (define @t7 () (not tptp.cR))
% 0.31/0.55  (define @t8 () (or (and tptp.cQ @t7) @t6))
% 0.31/0.55  (define @t9 () (and @t2 @t8))
% 0.31/0.55  (define @t10 () (=> @t9 @t5))
% 0.31/0.55  (define @t11 () (@list (@var "Xx" $$unsorted)))
% 0.31/0.55  (define @t12 () (exists @t11 @t10))
% 0.31/0.55  (define @t13 () (not @t12))
% 0.31/0.55  (define @t14 () (and @t2 @t8 @t4 @t7))
% 0.31/0.55  (define @t15 () (forall @t11 (not @t10)))
% 0.31/0.55  (define @t16 () (not @t15))
% 0.31/0.55  (define @t17 () (@list true))
% 0.31/0.55  (assume @p1 @t13)
% 0.31/0.55  (assume @p2 true)
% 0.31/0.55  (step @p3 :rule bool-double-not-elim :args (@t14))
% 0.31/0.55  (step @p4 :rule quant-unused-vars :args ((= (forall @t11 @t14) @t14)))
% 0.31/0.55  (step @p5 :rule aci_norm :args ((= (and @t9 (and @t4 @t7)) @t14)))
% 0.31/0.55  (step @p6 :rule bool-implies-de-morgan :args (@t4 tptp.cR))
% 0.31/0.55  (step @p7 :rule refl :args (@t9))
% 0.31/0.55  (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((and @t9 (not @t5))))
% 0.31/0.55  (step @p9 :rule trans :premises (@p8 @p5))
% 0.31/0.55  (step @p10 :rule bool-implies-de-morgan :args (@t9 @t5))
% 0.31/0.55  (step @p11 :rule trans :premises (@p10 @p9))
% 0.31/0.55  (step @p12 :rule cong :premises (@p11) :args (@t15))
% 0.31/0.55  (step @p13 :rule trans :premises (@p12 @p4))
% 0.31/0.55  (step @p14 :rule cong :premises (@p13) :args (@t16))
% 0.31/0.55  (step @p15 :rule exists-elim :args ((= @t12 @t16)))
% 0.31/0.55  (step @p16 :rule trans :premises (@p15 @p14))
% 0.31/0.55  (step @p17 :rule cong :premises (@p16) :args (@t13))
% 0.31/0.55  (step @p18 :rule trans :premises (@p17 @p3))
% 0.31/0.55  (step @p19 :rule eq_resolve :premises (@p1 @p18))
% 0.31/0.55  (step @p20 :rule and_elim :premises (@p19) :args (0))
% 0.31/0.55  (step @p21 :rule cnf_and_pos :args (@t3 0))
% 0.31/0.55  (step @p22 :rule resolution :premises (@p21 @p20) :args (true tptp.cP))
% 0.31/0.55  (step @p23 :rule and_elim :premises (@p19) :args (2))
% 0.31/0.55  (step @p24 :rule chain_resolution :premises (@p23 @p22) :args (@t17 (@list @t3)))
% 0.31/0.55  (step @p25 :rule and_elim :premises (@p24) :args (1))
% 0.31/0.55  (step @p26 :rule and_elim :premises (@p19) :args (3))
% 0.31/0.55  (step @p27 :rule cnf_and_pos :args (@t6 1))
% 0.31/0.55  (step @p28 :rule resolution :premises (@p27 @p26) :args (true tptp.cR))
% 0.31/0.55  (step @p29 :rule and_elim :premises (@p19) :args (1))
% 0.31/0.55  (step @p30 :rule chain_resolution :premises (@p29 @p28) :args (@t17 (@list @t6)))
% 0.31/0.55  (step @p31 :rule and_elim :premises (@p30) :args (0))
% 0.31/0.55  (step @p32 false :rule contra :premises (@p31 @p25))
% 0.31/0.55  )
% 0.31/0.55  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------