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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : PUZ146^1 : TPTP v9.2.1. Released v6.4.0.
% 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 08:44:19 AM UTC 2026

% Result   : Theorem 0.32s 0.56s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ146^1 : TPTP v9.2.1. Released v6.4.0.
% 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 13:19:35 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TH0
% 0.32/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.32/0.56  % SZS status Theorem
% 0.32/0.56  % SZS output start Proof
% 0.32/0.56  (
% 0.32/0.56  (declare-sort tptp.earthling 0)
% 0.32/0.56  (declare-sort tptp.hobby 0)
% 0.32/0.56  (declare-const tptp.marys_hobbies (-> tptp.hobby Bool))
% 0.32/0.56  (declare-const tptp.peters_hobbies (-> tptp.hobby Bool))
% 0.32/0.56  (declare-const tptp.has_hobby (-> tptp.earthling tptp.hobby Bool))
% 0.32/0.56  (declare-const tptp.belly_dancing tptp.hobby)
% 0.32/0.56  (declare-const tptp.beer_drinking tptp.hobby)
% 0.32/0.56  (declare-const tptp.weight_lifting tptp.hobby)
% 0.32/0.56  (declare-const tptp.peter tptp.earthling)
% 0.32/0.56  (declare-const tptp.mary tptp.earthling)
% 0.32/0.56  (define @t1 () (_ tptp.has_hobby tptp.peter))
% 0.32/0.56  (define @t2 () (_ tptp.has_hobby tptp.mary))
% 0.32/0.56  (define @t3 () (not (_ tptp.marys_hobbies tptp.beer_drinking)))
% 0.32/0.56  (define @t4 () (= tptp.peters_hobbies tptp.marys_hobbies))
% 0.32/0.56  (define @t5 () (tptp.has_hobby tptp.peter tptp.beer_drinking))
% 0.32/0.56  (define @t6 () (_ @t1 tptp.beer_drinking))
% 0.32/0.56  (define @t7 () (tptp.has_hobby tptp.mary tptp.beer_drinking))
% 0.32/0.56  (define @t8 () (_ @t2 tptp.beer_drinking))
% 0.32/0.56  (assume @p1 (not (= tptp.peter tptp.mary)))
% 0.32/0.56  (assume @p2 (and (not (= tptp.beer_drinking tptp.belly_dancing)) (not (= tptp.belly_dancing tptp.weight_lifting)) (not (= tptp.beer_drinking tptp.weight_lifting))))
% 0.32/0.56  (assume @p3 (= tptp.peters_hobbies @t1))
% 0.32/0.56  (assume @p4 (= tptp.marys_hobbies @t2))
% 0.32/0.56  (assume @p5 (_ tptp.marys_hobbies tptp.belly_dancing))
% 0.32/0.56  (assume @p6 @t3)
% 0.32/0.56  (assume @p7 (_ tptp.peters_hobbies tptp.beer_drinking))
% 0.32/0.56  (assume @p8 (_ tptp.peters_hobbies tptp.weight_lifting))
% 0.32/0.56  (assume @p9 (not (not @t4)))
% 0.32/0.56  (assume @p10 true)
% 0.32/0.56  (step @p11 :rule evaluate :args ((= false true)))
% 0.32/0.56  (step @p12 :rule refl :args (@t5))
% 0.32/0.56  (step @p13 :rule refl :args (@t6))
% 0.32/0.56  (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t6 @t5)))
% 0.32/0.56  (step @p15 :rule symm :premises (@p14))
% 0.32/0.56  (step @p16 :rule eq_resolve :premises (@p13 @p15))
% 0.32/0.56  (step @p17 :rule refl :args (tptp.beer_drinking))
% 0.32/0.56  (step @p18 :rule ho_cong :premises (@p3 @p17))
% 0.32/0.56  (step @p19 :rule trans :premises (@p18 @p16))
% 0.32/0.56  (step @p20 :rule eq_resolve :premises (@p7 @p19))
% 0.32/0.56  (step @p21 :rule true_intro :premises (@p20))
% 0.32/0.56  (step @p22 :rule cong :premises (@p3 @p4) :args (@t4))
% 0.32/0.56  (step @p23 :rule bool-double-not-elim :args (@t4))
% 0.32/0.56  (step @p24 :rule trans :premises (@p23 @p22))
% 0.32/0.56  (step @p25 :rule eq_resolve :premises (@p9 @p24))
% 0.32/0.56  (step @p26 :rule symm :premises (@p25))
% 0.32/0.56  (step @p27 :rule ho_cong :premises (@p26 @p17))
% 0.32/0.56  (step @p28 :rule refl :args (@t7))
% 0.32/0.56  (step @p29 :rule refl :args (@t7))
% 0.32/0.56  (step @p30 :rule refl :args (@t8))
% 0.32/0.56  (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t8 @t7)))
% 0.32/0.56  (step @p32 :rule symm :premises (@p31))
% 0.32/0.56  (step @p33 :rule eq_resolve :premises (@p30 @p32))
% 0.32/0.56  (step @p34 :rule cong :premises (@p33) :args ((not @t8)))
% 0.32/0.56  (step @p35 :rule ho_cong :premises (@p4 @p17))
% 0.32/0.56  (step @p36 :rule cong :premises (@p35) :args (@t3))
% 0.32/0.56  (step @p37 :rule trans :premises (@p36 @p34))
% 0.32/0.56  (step @p38 :rule eq_resolve :premises (@p6 @p37))
% 0.32/0.56  (step @p39 :rule false_intro :premises (@p38))
% 0.32/0.56  (step @p40 :rule symm :premises (@p39))
% 0.32/0.56  (step @p41 :rule trans :premises (@p40 @p28 @p27 @p16 @p21))
% 0.32/0.56  (step @p42 false :rule eq_resolve :premises (@p41 @p11))
% 0.32/0.56  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------