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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : PUZ131_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n023.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 08:44:16 AM UTC 2026

% Result   : Theorem 0.29s 0.54s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ131_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n023.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 13:19:58 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.29/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.29/0.54  % SZS status Theorem
% 0.29/0.54  % SZS output start Proof
% 0.29/0.54  (
% 0.29/0.54  (declare-sort tptp.professor 0)
% 0.29/0.54  (declare-sort tptp.student 0)
% 0.29/0.54  (declare-sort tptp.course 0)
% 0.29/0.54  (declare-const tptp.victor tptp.professor)
% 0.29/0.54  (declare-const tptp.michael tptp.student)
% 0.29/0.54  (declare-const tptp.csc410 tptp.course)
% 0.29/0.54  (declare-const tptp.taughtby (-> tptp.student tptp.professor Bool))
% 0.29/0.54  (declare-const tptp.coordinatorof (-> tptp.course tptp.professor))
% 0.29/0.54  (declare-const tptp.teaches (-> tptp.professor tptp.course Bool))
% 0.29/0.54  (declare-const tptp.enrolled (-> tptp.student tptp.course Bool))
% 0.29/0.54  (define @t1 () (@var "Y" tptp.course))
% 0.29/0.54  (define @t2 () (@var "X" tptp.student))
% 0.29/0.54  (define @t3 () (tptp.enrolled @t2 @t1))
% 0.29/0.54  (define @t4 () (@list @t1))
% 0.29/0.54  (define @t5 () (@var "X" tptp.professor))
% 0.29/0.54  (define @t6 () (@var "X" tptp.course))
% 0.29/0.54  (define @t7 () (@var "Y" tptp.student))
% 0.29/0.54  (define @t8 () (@list @t6))
% 0.29/0.54  (define @t9 () (@var "Y" tptp.professor))
% 0.29/0.54  (define @t10 () (@var "Z" tptp.professor))
% 0.29/0.54  (define @t11 () (tptp.taughtby @t2 @t10))
% 0.29/0.54  (define @t12 () (tptp.teaches @t10 @t1))
% 0.29/0.54  (define @t13 () (@list @t10))
% 0.29/0.54  (define @t14 () (forall @t13 (=> @t12 @t11)))
% 0.29/0.54  (define @t15 () (=> @t3 @t14))
% 0.29/0.54  (define @t16 () (@list @t2 @t1))
% 0.29/0.54  (define @t17 () (forall @t16 @t15))
% 0.29/0.54  (define @t18 () (tptp.enrolled tptp.michael tptp.csc410))
% 0.29/0.54  (define @t19 () (tptp.coordinatorof tptp.csc410))
% 0.29/0.54  (define @t20 () (@var "BOUND_VARIABLE_7489" tptp.professor))
% 0.29/0.54  (define @t21 () (tptp.taughtby @t2 @t20))
% 0.29/0.54  (define @t22 () (not (tptp.teaches @t20 @t1)))
% 0.29/0.54  (define @t23 () (not @t3))
% 0.29/0.54  (define @t24 () (or @t23 @t22 @t21))
% 0.29/0.54  (define @t25 () (or @t22 @t21))
% 0.29/0.54  (define @t26 () (or @t23 @t25))
% 0.29/0.54  (define @t27 () (@list @t2 @t1 @t20))
% 0.29/0.54  (define @t28 () (forall @t27 @t26))
% 0.29/0.54  (define @t29 () (@list @t20))
% 0.29/0.54  (define @t30 () (forall @t29 @t26))
% 0.29/0.54  (define @t31 () (forall @t29 @t25))
% 0.29/0.54  (define @t32 () (or @t23 @t31))
% 0.29/0.54  (define @t33 () (forall @t13 (or (not @t12) @t11)))
% 0.29/0.54  (define @t34 () (tptp.taughtby tptp.michael @t19))
% 0.29/0.54  (define @t35 () (tptp.teaches @t19 tptp.csc410))
% 0.29/0.54  (define @t36 () (not @t35))
% 0.29/0.54  (define @t37 () (not @t18))
% 0.29/0.54  (define @t38 () (or @t37 @t36 @t34))
% 0.29/0.54  (define @t39 () (not @t38))
% 0.29/0.54  (define @t40 () (forall @t27 @t24))
% 0.29/0.54  (assume @p1 (forall (@list @t2) (exists @t4 @t3)))
% 0.29/0.54  (assume @p2 (forall (@list @t5) (exists @t4 (tptp.teaches @t5 @t1))))
% 0.29/0.54  (assume @p3 (forall @t8 (exists (@list @t7) (tptp.enrolled @t7 @t6))))
% 0.29/0.54  (assume @p4 (forall @t8 (exists (@list @t9) (tptp.teaches @t9 @t6))))
% 0.29/0.54  (assume @p5 (forall @t8 (tptp.teaches (tptp.coordinatorof @t6) @t6)))
% 0.29/0.54  (assume @p6 @t17)
% 0.29/0.54  (assume @p7 @t18)
% 0.29/0.54  (assume @p8 (= @t19 tptp.victor))
% 0.29/0.54  (assume @p9 (not (tptp.taughtby tptp.michael tptp.victor)))
% 0.29/0.54  (assume @p10 true)
% 0.29/0.54  (step @p11 :rule aci_norm :args ((= @t26 @t24)))
% 0.29/0.54  (step @p12 :rule cong :premises (@p11) :args (@t28))
% 0.29/0.54  (step @p13 :rule quant-merge-prenex :args ((= (forall @t16 @t30) @t28)))
% 0.29/0.54  (step @p14 :rule alpha_equiv :args (@t31 (@list @t20) (@list @t10)))
% 0.29/0.54  (step @p15 :rule refl :args (@t23))
% 0.29/0.54  (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t32))
% 0.29/0.54  (step @p17 :rule quant-miniscope-or :args ((= @t30 @t32)))
% 0.29/0.54  (step @p18 :rule trans :premises (@p17 @p16))
% 0.29/0.54  (step @p19 :rule symm :premises (@p18))
% 0.29/0.54  (step @p20 :rule cong :premises (@p19) :args ((forall @t16 (or @t23 @t33))))
% 0.29/0.54  (step @p21 :rule trans :premises (@p20 @p13))
% 0.29/0.54  (step @p22 :rule trans :premises (@p21 @p12))
% 0.29/0.54  (step @p23 :rule bool-impl-elim :args (@t3 @t33))
% 0.29/0.54  (step @p24 :rule cong :premises (@p23) :args ((forall @t16 (=> @t3 @t33))))
% 0.29/0.54  (step @p25 :rule trans :premises (@p24 @p22))
% 0.29/0.54  (step @p26 :rule bool-impl-elim :args (@t12 @t11))
% 0.29/0.54  (step @p27 :rule cong :premises (@p26) :args (@t14))
% 0.29/0.54  (step @p28 :rule refl :args (@t3))
% 0.29/0.54  (step @p29 :rule cong :premises (@p28 @p27) :args (@t15))
% 0.29/0.54  (step @p30 :rule cong :premises (@p29) :args (@t17))
% 0.29/0.54  (step @p31 :rule trans :premises (@p30 @p25))
% 0.29/0.54  (step @p32 :rule eq_resolve :premises (@p6 @p31))
% 0.29/0.54  (step @p33 :rule false_intro :premises (@p9))
% 0.29/0.54  (step @p34 :rule refl :args (tptp.michael))
% 0.29/0.54  (step @p35 :rule cong :premises (@p34 @p8) :args (@t34))
% 0.29/0.54  (step @p36 :rule trans :premises (@p35 @p33))
% 0.29/0.54  (step @p37 :rule false_elim :premises (@p36))
% 0.29/0.54  (step @p38 :rule instantiate :premises (@p5) :args ((@list tptp.csc410)))
% 0.29/0.54  (step @p39 :rule cnf_or_pos :args (@t38))
% 0.29/0.54  (step @p40 :rule reordering :premises (@p39) :args ((or @t37 @t36 @t34 @t39)))
% 0.29/0.54  (step @p41 :rule chain_m_resolution :premises (@p40 @p7 @p38 @p37) :args (@t39 (@list false false true) (@list @t18 @t35 @t34)))
% 0.29/0.54  (assume-push @p48 @t40)
% 0.29/0.54  (step @p43 :rule instantiate :premises (@p32) :args ((@list tptp.michael tptp.csc410 @t19)))
% 0.29/0.54  (step-pop @p49 :rule scope :premises (@p43))
% 0.29/0.54  (step @p44 :rule process_scope :premises (@p49) :args (@t38))
% 0.29/0.54  (step @p46 :rule implies_elim :premises (@p44))
% 0.29/0.54  (step @p47 false :rule chain_m_resolution :premises (@p46 @p41 @p32) :args (false (@list true false) (@list @t38 @t40)))
% 0.29/0.54  )
% 0.29/0.54  % SZS output end Proof
% 0.29/0.54  % cvc5 exiting
%------------------------------------------------------------------------------