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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KRS152+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:29:01 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  : KRS152+1 : TPTP v9.2.1. Released v3.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n009.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 05:28:14 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 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 $$unsorted 0)
% 0.31/0.55  (declare-const tptp.iV21081 $$unsorted)
% 0.31/0.55  (declare-const tptp.cowlNothing (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.cowlThing (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.cC4 (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.xsd_integer (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.xsd_string (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.cC2 (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.cC8 (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.cC10 (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.iV21080 $$unsorted)
% 0.31/0.55  (declare-const tptp.rR1 (-> $$unsorted $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.cC12 (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.cC6 (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.cTEST (-> $$unsorted Bool))
% 0.31/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.31/0.55  (define @t2 () (not (tptp.cowlNothing @t1)))
% 0.31/0.55  (define @t3 () (tptp.cowlThing @t1))
% 0.31/0.55  (define @t4 () (@list @t1))
% 0.31/0.55  (define @t5 () (forall @t4 (and @t3 @t2)))
% 0.31/0.55  (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1)))))
% 0.31/0.55  (define @t7 () (tptp.cC4 @t1))
% 0.31/0.55  (define @t8 () (tptp.cC2 @t1))
% 0.31/0.55  (define @t9 () (@var "Y" $$unsorted))
% 0.31/0.55  (define @t10 () (tptp.rR1 @t1 @t9))
% 0.31/0.55  (define @t11 () (@list @t9))
% 0.31/0.55  (define @t12 () (tptp.cC12 @t1))
% 0.31/0.55  (define @t13 () (tptp.cC6 @t1))
% 0.31/0.55  (define @t14 () (tptp.cC8 @t1))
% 0.31/0.55  (define @t15 () (tptp.cTEST tptp.iV21080))
% 0.31/0.55  (define @t16 () (tptp.cowlThing tptp.iV21080))
% 0.31/0.55  (define @t17 () (not (tptp.cC8 tptp.iV21080)))
% 0.31/0.55  (define @t18 () (tptp.cowlThing tptp.iV21081))
% 0.31/0.55  (define @t19 () (tptp.cC2 tptp.iV21081))
% 0.31/0.55  (define @t20 () (tptp.cC4 tptp.iV21081))
% 0.31/0.55  (define @t21 () (tptp.cC10 tptp.iV21081))
% 0.31/0.55  (define @t22 () (tptp.cC12 tptp.iV21080))
% 0.31/0.55  (define @t23 () (and @t5 @t6 @t16 @t22 @t21 @t18))
% 0.31/0.55  (define @t24 () (not @t23))
% 0.31/0.55  (define @t25 () (and @t22 @t17))
% 0.31/0.55  (define @t26 () (= @t15 @t25))
% 0.31/0.55  (define @t27 () (@list false false))
% 0.31/0.55  (define @t28 () (and @t19 @t20))
% 0.31/0.55  (define @t29 () (= @t21 @t28))
% 0.31/0.55  (define @t30 () (forall @t4 @t2))
% 0.31/0.55  (define @t31 () (@list @t1))
% 0.31/0.55  (define @t32 () (@var "BOUND_VARIABLE_7489" $$unsorted))
% 0.31/0.55  (define @t33 () (forall @t4 @t3))
% 0.31/0.55  (define @t34 () (@var "BOUND_VARIABLE_7484" $$unsorted))
% 0.31/0.55  (define @t35 () (and @t33 @t30))
% 0.31/0.55  (define @t36 () (forall (@list @t32) (not (tptp.cowlNothing @t32))))
% 0.31/0.55  (define @t37 () (forall (@list @t34) (tptp.cowlThing @t34)))
% 0.31/0.55  (define @t38 () (not @t22))
% 0.31/0.55  (assume @p1 @t5)
% 0.31/0.55  (assume @p2 @t6)
% 0.31/0.55  (assume @p3 (forall @t4 (= (tptp.cC10 @t1) (and @t8 @t7))))
% 0.31/0.55  (assume @p4 (forall @t4 (= @t12 (exists @t11 (and @t10 (tptp.cC10 @t9))))))
% 0.31/0.55  (assume @p5 (forall @t4 (= @t13 (and (not @t8) @t7))))
% 0.31/0.55  (assume @p6 (forall @t4 (= @t14 (exists @t11 (and @t10 (tptp.cC6 @t9))))))
% 0.31/0.55  (assume @p7 (forall @t4 (= (tptp.cTEST @t1) (and @t12 (not @t14)))))
% 0.31/0.55  (assume @p8 @t15)
% 0.31/0.55  (assume @p9 @t16)
% 0.31/0.55  (assume @p10 (forall @t4 (=> (tptp.rR1 tptp.iV21080 @t1) (not @t13))))
% 0.31/0.55  (assume @p11 @t17)
% 0.31/0.55  (assume @p12 (tptp.rR1 tptp.iV21080 tptp.iV21081))
% 0.31/0.55  (assume @p13 (not (tptp.cC6 tptp.iV21081)))
% 0.31/0.55  (assume @p14 @t18)
% 0.31/0.55  (assume @p15 @t19)
% 0.31/0.55  (assume @p16 @t20)
% 0.31/0.55  (assume @p17 @t24)
% 0.31/0.55  (assume @p18 true)
% 0.31/0.55  (step @p19 :rule instantiate :premises (@p7) :args ((@list tptp.iV21080)))
% 0.31/0.55  (step @p20 :rule cnf_equiv_pos1 :args (@t26))
% 0.31/0.55  (step @p21 :rule reordering :premises (@p20) :args ((or (not @t15) @t25 (not @t26))))
% 0.31/0.55  (step @p22 :rule chain_m_resolution :premises (@p21 @p8 @p19) :args (@t25 @t27 (@list @t15 @t26)))
% 0.31/0.55  (step @p23 :rule instantiate :premises (@p3) :args ((@list tptp.iV21081)))
% 0.31/0.55  (step @p24 :rule cnf_and_neg :args (@t28))
% 0.31/0.55  (step @p25 :rule reordering :premises (@p24) :args ((or (not @t19) (not @t20) @t28)))
% 0.31/0.55  (step @p26 :rule chain_m_resolution :premises (@p25 @p15 @p16) :args (@t28 @t27 (@list @t19 @t20)))
% 0.31/0.55  (step @p27 :rule cnf_equiv_pos2 :args (@t29))
% 0.31/0.55  (step @p28 :rule reordering :premises (@p27) :args ((or @t21 (not @t28) (not @t29))))
% 0.31/0.55  (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p23) :args (@t21 @t27 (@list @t28 @t29)))
% 0.31/0.55  (step @p30 :rule alpha_equiv :args (@t30 @t31 (@list @t32)))
% 0.31/0.55  (step @p31 :rule alpha_equiv :args (@t33 @t31 (@list @t34)))
% 0.31/0.55  (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t35))
% 0.31/0.55  (step @p33 :rule quant-miniscope-and :args ((= @t5 @t35)))
% 0.31/0.55  (step @p34 :rule trans :premises (@p33 @p32))
% 0.31/0.55  (step @p35 :rule eq_resolve :premises (@p1 @p34))
% 0.31/0.55  (step @p36 :rule and_elim :premises (@p35) :args (1))
% 0.31/0.55  (step @p37 :rule and_elim :premises (@p35) :args (0))
% 0.31/0.55  (step @p38 :rule aci_norm :args ((= (and (and @t37 @t36) @t6 @t16 @t22 @t21 @t18) (and @t6 @t16 @t22 @t21 @t18 @t37 @t36))))
% 0.31/0.55  (step @p39 :rule refl :args (@t18))
% 0.31/0.55  (step @p40 :rule refl :args (@t21))
% 0.31/0.55  (step @p41 :rule refl :args (@t22))
% 0.31/0.55  (step @p42 :rule refl :args (@t16))
% 0.31/0.55  (step @p43 :rule refl :args (@t6))
% 0.31/0.55  (step @p44 :rule nary_cong :premises (@p34 @p43 @p42 @p41 @p40 @p39) :args (@t23))
% 0.31/0.55  (step @p45 :rule trans :premises (@p44 @p38))
% 0.31/0.55  (step @p46 :rule cong :premises (@p45) :args (@t24))
% 0.31/0.55  (step @p47 :rule eq_resolve :premises (@p17 @p46))
% 0.31/0.55  (step @p48 :rule not_and :premises (@p47))
% 0.31/0.55  (step @p49 :rule reordering :premises (@p48) :args ((or (not @t37) (not @t36) (not @t6) (not @t16) (not @t18) @t38 (not @t21))))
% 0.31/0.55  (step @p50 :rule chain_m_resolution :premises (@p49 @p37 @p36 @p2 @p9 @p14 @p29) :args (@t38 (@list false false false false false false) (@list @t37 @t36 @t6 @t16 @t18 @t21)))
% 0.31/0.55  (step @p51 :rule cnf_and_pos :args (@t25 0))
% 0.31/0.55  (step @p52 :rule reordering :premises (@p51) :args ((or @t22 (not @t25))))
% 0.31/0.55  (step @p53 false :rule chain_m_resolution :premises (@p52 @p50 @p22) :args (false (@list true false) (@list @t22 @t25)))
% 0.31/0.55  )
% 0.31/0.55  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------