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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET617^5 : 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 : n029.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 08:48:15 AM UTC 2026

% Result   : Theorem 0.27s 0.56s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET617^5 : 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
% 0.17/0.34  % Computer : n029.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 16:05:02 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.27/0.50  %----Proving TH0
% 0.27/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.27/0.56  % SZS status Theorem
% 0.27/0.56  % SZS output start Proof
% 0.27/0.56  (
% 0.27/0.56  (declare-sort tptp.a 0)
% 0.27/0.56  (define @t1 () (@var "X" (-> tptp.a Bool)))
% 0.27/0.56  (define @t2 () (not false))
% 0.27/0.56  (define @t3 () (@var "Xz" tptp.a))
% 0.27/0.56  (define @t4 () (_ @t1 @t3))
% 0.27/0.56  (define @t5 () (and @t4 @t2))
% 0.27/0.56  (define @t6 () (and false (not @t4)))
% 0.27/0.56  (define @t7 () (or @t6 @t5))
% 0.27/0.56  (define @t8 () (@list @t3))
% 0.27/0.56  (define @t9 () (lambda @t8 @t7))
% 0.27/0.56  (define @t10 () (= @t9 @t1))
% 0.27/0.56  (define @t11 () (or @t5 @t6))
% 0.27/0.56  (define @t12 () (lambda @t8 @t11))
% 0.27/0.56  (define @t13 () (= @t12 @t1))
% 0.27/0.56  (define @t14 () (and @t13 @t10))
% 0.27/0.56  (define @t15 () (@list @t1))
% 0.27/0.56  (define @t16 () (forall @t15 @t14))
% 0.27/0.56  (define @t17 () (not @t16))
% 0.27/0.56  (define @t18 () (_ @t1 @t3))
% 0.27/0.56  (define @t19 () (lambda @t8 @t18))
% 0.27/0.56  (define @t20 () (= @t1 @t19))
% 0.27/0.56  (define @t21 () (lambda @t8 @t4))
% 0.27/0.56  (define @t22 () (= @t1 @t21))
% 0.27/0.56  (assume @p1 @t17)
% 0.27/0.56  (assume @p2 true)
% 0.27/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.27/0.56  (step @p4 :rule quant-unused-vars :args ((= (forall @t15 true) true)))
% 0.27/0.56  (step @p5 :rule eq-refl :args (@t1))
% 0.27/0.56  (step @p6 :rule lambda-elim :args ((= @t19 @t1)))
% 0.27/0.56  (step @p7 :rule refl :args (@t1))
% 0.27/0.56  (step @p8 :rule cong :premises (@p7 @p6) :args (@t20))
% 0.27/0.56  (step @p9 :rule trans :premises (@p8 @p5))
% 0.27/0.56  (step @p10 :rule cong :premises (@p9) :args ((forall @t15 @t20)))
% 0.27/0.56  (step @p11 :rule trans :premises (@p10 @p4))
% 0.27/0.56  (step @p12 :rule refl :args (@t18))
% 0.27/0.56  (step @p13 :rule refl :args (@t4))
% 0.27/0.56  (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t4 @t18)))
% 0.27/0.56  (step @p15 :rule symm :premises (@p14))
% 0.27/0.56  (step @p16 :rule eq_resolve :premises (@p13 @p15))
% 0.27/0.56  (step @p17 :rule cong :premises (@p16) :args (@t21))
% 0.27/0.56  (step @p18 :rule refl :args (@t1))
% 0.27/0.56  (step @p19 :rule cong :premises (@p18 @p17) :args (@t22))
% 0.27/0.56  (step @p20 :rule cong :premises (@p19) :args ((forall @t15 @t22)))
% 0.27/0.56  (step @p21 :rule trans :premises (@p20 @p11))
% 0.27/0.56  (step @p22 :rule aci_norm :args ((= (and @t22 @t22) @t22)))
% 0.27/0.56  (step @p23 :rule eq-symm :args (@t21 @t1))
% 0.27/0.56  (step @p24 :rule aci_norm :args ((= (or false @t4) @t4)))
% 0.27/0.56  (step @p25 :rule aci_norm :args ((= (and @t4 true) @t4)))
% 0.27/0.56  (step @p26 :rule evaluate :args (@t2))
% 0.27/0.56  (step @p27 :rule refl :args (@t4))
% 0.27/0.56  (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t5))
% 0.27/0.56  (step @p29 :rule trans :premises (@p28 @p25))
% 0.27/0.56  (step @p30 :rule absorb :args ((= @t6 false)))
% 0.27/0.56  (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t7))
% 0.27/0.56  (step @p32 :rule trans :premises (@p31 @p24))
% 0.27/0.56  (step @p33 :rule cong :premises (@p32) :args (@t9))
% 0.27/0.56  (step @p34 :rule cong :premises (@p33 @p7) :args (@t10))
% 0.27/0.56  (step @p35 :rule trans :premises (@p34 @p23))
% 0.27/0.56  (step @p36 :rule aci_norm :args ((= (or @t4 false) @t4)))
% 0.27/0.56  (step @p37 :rule nary_cong :premises (@p29 @p30) :args (@t11))
% 0.27/0.56  (step @p38 :rule trans :premises (@p37 @p36))
% 0.27/0.56  (step @p39 :rule cong :premises (@p38) :args (@t12))
% 0.27/0.56  (step @p40 :rule cong :premises (@p39 @p7) :args (@t13))
% 0.27/0.56  (step @p41 :rule trans :premises (@p40 @p23))
% 0.27/0.56  (step @p42 :rule nary_cong :premises (@p41 @p35) :args (@t14))
% 0.27/0.56  (step @p43 :rule trans :premises (@p42 @p22))
% 0.27/0.56  (step @p44 :rule cong :premises (@p43) :args (@t16))
% 0.27/0.56  (step @p45 :rule trans :premises (@p44 @p21))
% 0.27/0.56  (step @p46 :rule cong :premises (@p45) :args (@t17))
% 0.27/0.56  (step @p47 :rule trans :premises (@p46 @p3))
% 0.27/0.56  (step @p48 false :rule eq_resolve :premises (@p1 @p47))
% 0.27/0.56  )
% 0.27/0.56  % SZS output end Proof
% 0.27/0.56  % cvc5 exiting
%------------------------------------------------------------------------------