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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KRS140+1 : TPTP v9.2.1. Released v3.1.0.
% 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 08:29:00 AM UTC 2026

% Result   : Theorem 0.37s 0.58s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : KRS140+1 : TPTP v9.2.1. Released v3.1.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n029.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 05:28:17 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.58  % SZS status Theorem
% 0.37/0.58  % SZS output start Proof
% 0.37/0.58  (
% 0.37/0.58  (declare-sort $$unsorted 0)
% 0.37/0.58  (declare-const tptp.ia $$unsorted)
% 0.37/0.58  (declare-const tptp.ib $$unsorted)
% 0.37/0.58  (declare-const tptp.xsd_integer (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.rsymProp (-> $$unsorted $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.xsd_string (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.cowlThing (-> $$unsorted Bool))
% 0.37/0.58  (declare-const tptp.cowlNothing (-> $$unsorted Bool))
% 0.37/0.58  (define @t1 () (@var "B" $$unsorted))
% 0.37/0.58  (define @t2 () (@var "A" $$unsorted))
% 0.37/0.58  (define @t3 () (= @t2 @t1))
% 0.37/0.58  (define @t4 () (@list @t2 @t1))
% 0.37/0.58  (define @t5 () (@var "C" $$unsorted))
% 0.37/0.58  (define @t6 () (@list @t2 @t1 @t5))
% 0.37/0.58  (define @t7 () (@var "X" $$unsorted))
% 0.37/0.58  (define @t8 () (not (tptp.cowlNothing @t7)))
% 0.37/0.58  (define @t9 () (tptp.cowlThing @t7))
% 0.37/0.58  (define @t10 () (@list @t7))
% 0.37/0.58  (define @t11 () (forall @t10 (and @t9 @t8)))
% 0.37/0.58  (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7)))))
% 0.37/0.58  (define @t13 () (@var "Y" $$unsorted))
% 0.37/0.58  (define @t14 () (or (= @t13 tptp.ia) (= @t13 tptp.ib)))
% 0.37/0.58  (define @t15 () (tptp.rsymProp @t7 @t13))
% 0.37/0.58  (define @t16 () (=> @t15 @t14))
% 0.37/0.58  (define @t17 () (@list @t7 @t13))
% 0.37/0.58  (define @t18 () (forall @t17 @t16))
% 0.37/0.58  (define @t19 () (tptp.rsymProp @t13 @t7))
% 0.37/0.58  (define @t20 () (forall @t17 (=> @t15 @t19)))
% 0.37/0.58  (define @t21 () (tptp.cowlThing tptp.ia))
% 0.37/0.58  (define @t22 () (tptp.rsymProp tptp.ia tptp.ia))
% 0.37/0.58  (define @t23 () (tptp.rsymProp tptp.ib tptp.ib))
% 0.37/0.58  (define @t24 () (tptp.rsymProp tptp.ia @t7))
% 0.37/0.58  (define @t25 () (and @t24 @t9))
% 0.37/0.58  (define @t26 () (exists @t10 @t25))
% 0.37/0.58  (define @t27 () (@var "Z" $$unsorted))
% 0.37/0.58  (define @t28 () (tptp.rsymProp @t7 @t27))
% 0.37/0.58  (define @t29 () (tptp.rsymProp @t13 @t27))
% 0.37/0.58  (define @t30 () (and @t15 @t29))
% 0.37/0.58  (define @t31 () (@list @t7 @t13 @t27))
% 0.37/0.58  (define @t32 () (forall @t31 (=> @t30 @t28)))
% 0.37/0.58  (define @t33 () (and @t11 @t12 @t32 @t26))
% 0.37/0.58  (define @t34 () (not @t33))
% 0.37/0.58  (define @t35 () (forall @t10 @t8))
% 0.37/0.58  (define @t36 () (@list @t7))
% 0.37/0.58  (define @t37 () (@var "BOUND_VARIABLE_7575" $$unsorted))
% 0.37/0.58  (define @t38 () (forall @t10 @t9))
% 0.37/0.58  (define @t39 () (@var "BOUND_VARIABLE_7570" $$unsorted))
% 0.37/0.58  (define @t40 () (and @t38 @t35))
% 0.37/0.58  (define @t41 () (not @t21))
% 0.37/0.58  (define @t42 () (not @t22))
% 0.37/0.58  (define @t43 () (or @t42 @t41))
% 0.37/0.58  (define @t44 () (not @t43))
% 0.37/0.58  (define @t45 () (@list false false))
% 0.37/0.58  (define @t46 () (forall @t10 (or (not @t24) (not @t9))))
% 0.37/0.58  (define @t47 () (not @t46))
% 0.37/0.58  (define @t48 () (@list true))
% 0.37/0.58  (define @t49 () (forall (@list @t37) (not (tptp.cowlNothing @t37))))
% 0.37/0.58  (define @t50 () (not @t49))
% 0.37/0.58  (define @t51 () (forall (@list @t39) (tptp.cowlThing @t39)))
% 0.37/0.58  (define @t52 () (not @t51))
% 0.37/0.58  (define @t53 () (not @t29))
% 0.37/0.58  (define @t54 () (not @t15))
% 0.37/0.58  (define @t55 () (or @t54 @t53 @t28))
% 0.37/0.58  (define @t56 () (forall @t31 @t55))
% 0.37/0.58  (define @t57 () (not @t56))
% 0.37/0.58  (define @t58 () (not @t12))
% 0.37/0.58  (define @t59 () (forall @t10 (not @t25)))
% 0.37/0.58  (define @t60 () (not @t59))
% 0.37/0.58  (define @t61 () (@quantifiers_skolemize @t56 2))
% 0.37/0.58  (define @t62 () (@quantifiers_skolemize @t56 0))
% 0.37/0.58  (define @t63 () (tptp.rsymProp @t62 @t61))
% 0.37/0.58  (define @t64 () (@quantifiers_skolemize @t56 1))
% 0.37/0.58  (define @t65 () (tptp.rsymProp @t64 @t61))
% 0.37/0.58  (define @t66 () (not @t65))
% 0.37/0.58  (define @t67 () (tptp.rsymProp @t62 @t64))
% 0.37/0.58  (define @t68 () (not @t67))
% 0.37/0.58  (define @t69 () (or @t68 @t66 @t63))
% 0.37/0.58  (define @t70 () (not @t69))
% 0.37/0.58  (define @t71 () (not @t63))
% 0.37/0.58  (define @t72 () (@list @t69))
% 0.37/0.58  (define @t73 () (= tptp.ib @t13))
% 0.37/0.58  (define @t74 () (= tptp.ia @t13))
% 0.37/0.58  (define @t75 () (or @t74 @t73))
% 0.37/0.58  (define @t76 () (= tptp.ia @t61))
% 0.37/0.58  (define @t77 () (not @t76))
% 0.37/0.58  (define @t78 () (= tptp.ia @t64))
% 0.37/0.58  (define @t79 () (not @t78))
% 0.37/0.58  (define @t80 () (not @t71))
% 0.37/0.58  (define @t81 () (= true false))
% 0.37/0.58  (define @t82 () (and @t71 @t76 @t78 @t67))
% 0.37/0.58  (define @t83 () (@list @t62 @t64))
% 0.37/0.58  (define @t84 () (= tptp.ib @t64))
% 0.37/0.58  (define @t85 () (or @t68 @t78 @t84))
% 0.37/0.58  (define @t86 () (@list @t64 @t61))
% 0.37/0.58  (define @t87 () (tptp.rsymProp @t61 @t64))
% 0.37/0.58  (define @t88 () (or @t66 @t87))
% 0.37/0.58  (define @t89 () (tptp.rsymProp @t61 @t62))
% 0.37/0.58  (define @t90 () (not @t89))
% 0.37/0.58  (define @t91 () (or @t90 @t63))
% 0.37/0.58  (define @t92 () (= tptp.ib @t62))
% 0.37/0.58  (define @t93 () (not @t92))
% 0.37/0.58  (define @t94 () (not @t87))
% 0.37/0.58  (define @t95 () (not @t84))
% 0.37/0.58  (define @t96 () (not @t90))
% 0.37/0.58  (define @t97 () (tptp.rsymProp tptp.ia tptp.ib))
% 0.37/0.58  (define @t98 () (tptp.rsymProp tptp.ia @t64))
% 0.37/0.58  (define @t99 () (and @t90 @t76 @t92 @t84 @t87))
% 0.37/0.58  (define @t100 () (= tptp.ib @t61))
% 0.37/0.58  (define @t101 () (or @t66 @t76 @t100))
% 0.37/0.58  (define @t102 () (not @t100))
% 0.37/0.58  (define @t103 () (not @t23))
% 0.37/0.58  (define @t104 () (= false true))
% 0.37/0.58  (define @t105 () (and @t23 @t92 @t100 @t71))
% 0.37/0.58  (define @t106 () (tptp.rsymProp @t64 @t62))
% 0.37/0.58  (define @t107 () (or @t68 @t106))
% 0.37/0.58  (define @t108 () (= tptp.ia @t62))
% 0.37/0.58  (define @t109 () (not @t106))
% 0.37/0.58  (define @t110 () (or @t109 @t108 @t92))
% 0.37/0.58  (define @t111 () (@list false true false))
% 0.37/0.58  (define @t112 () (not @t108))
% 0.37/0.58  (define @t113 () (and @t90 @t108 @t78 @t87))
% 0.37/0.58  (define @t114 () (and @t71 @t108 @t100 @t84 @t67))
% 0.37/0.58  (define @t115 () (and @t22 @t108 @t76 @t71))
% 0.37/0.58  (assume @p1 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1))))
% 0.37/0.58  (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1))))
% 0.37/0.58  (assume @p3 (forall @t6 (=> (and @t3 (tptp.rsymProp @t2 @t5)) (tptp.rsymProp @t1 @t5))))
% 0.37/0.58  (assume @p4 (forall @t6 (=> (and @t3 (tptp.rsymProp @t5 @t2)) (tptp.rsymProp @t5 @t1))))
% 0.37/0.58  (assume @p5 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1))))
% 0.37/0.58  (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1))))
% 0.37/0.58  (assume @p7 @t11)
% 0.37/0.58  (assume @p8 @t12)
% 0.37/0.58  (assume @p9 @t18)
% 0.37/0.58  (assume @p10 @t20)
% 0.37/0.58  (assume @p11 @t21)
% 0.37/0.58  (assume @p12 @t22)
% 0.37/0.58  (assume @p13 (tptp.cowlThing tptp.ib))
% 0.37/0.58  (assume @p14 @t23)
% 0.37/0.58  (assume @p15 @t34)
% 0.37/0.58  (assume @p16 true)
% 0.37/0.58  (step @p17 :rule alpha_equiv :args (@t35 @t36 (@list @t37)))
% 0.37/0.58  (step @p18 :rule alpha_equiv :args (@t38 @t36 (@list @t39)))
% 0.37/0.58  (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t40))
% 0.37/0.58  (step @p20 :rule quant-miniscope-and :args ((= @t11 @t40)))
% 0.37/0.58  (step @p21 :rule trans :premises (@p20 @p19))
% 0.37/0.58  (step @p22 :rule eq_resolve :premises (@p7 @p21))
% 0.37/0.58  (step @p23 :rule and_elim :premises (@p22) :args (1))
% 0.37/0.58  (step @p24 :rule and_elim :premises (@p22) :args (0))
% 0.37/0.58  (step @p25 :rule cnf_or_pos :args (@t43))
% 0.37/0.58  (step @p26 :rule reordering :premises (@p25) :args ((or @t41 @t42 @t44)))
% 0.37/0.58  (step @p27 :rule chain_m_resolution :premises (@p26 @p11 @p12) :args (@t44 @t45 (@list @t21 @t22)))
% 0.37/0.58  (assume-push @p356 @t46)
% 0.37/0.58  (step @p29 :rule instantiate :premises (@p356) :args ((@list tptp.ia)))
% 0.37/0.58  (step-pop @p357 :rule scope :premises (@p29))
% 0.37/0.58  (step @p30 :rule process_scope :premises (@p357) :args (@t43))
% 0.37/0.58  (step @p32 :rule implies_elim :premises (@p30))
% 0.37/0.58  (step @p33 :rule chain_m_resolution :premises (@p32 @p27) :args (@t47 @t48 (@list @t43)))
% 0.37/0.58  (step @p34 :rule refl :args (@t50))
% 0.37/0.58  (step @p35 :rule refl :args (@t52))
% 0.37/0.58  (step @p36 :rule bool-double-not-elim :args (@t46))
% 0.37/0.58  (step @p37 :rule refl :args (@t57))
% 0.37/0.58  (step @p38 :rule refl :args (@t58))
% 0.37/0.58  (step @p39 :rule nary_cong :premises (@p38 @p37 @p36 @p35 @p34) :args ((or @t58 @t57 (not @t47) @t52 @t50)))
% 0.37/0.58  (step @p40 :rule aci_norm :args ((= (and (and @t51 @t49) @t12 @t56 @t47) (and @t12 @t56 @t47 @t51 @t49))))
% 0.37/0.58  (step @p41 :rule bool-and-de-morgan :args (@t24 @t9 true))
% 0.37/0.58  (step @p42 :rule cong :premises (@p41) :args (@t59))
% 0.37/0.58  (step @p43 :rule cong :premises (@p42) :args (@t60))
% 0.37/0.58  (step @p44 :rule exists-elim :args ((= @t26 @t60)))
% 0.37/0.58  (step @p45 :rule trans :premises (@p44 @p43))
% 0.37/0.58  (step @p46 :rule aci_norm :args ((= (or (or @t54 @t53) @t28) @t55)))
% 0.37/0.58  (step @p47 :rule refl :args (@t28))
% 0.37/0.58  (step @p48 :rule bool-and-de-morgan :args (@t15 @t29 true))
% 0.37/0.58  (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t30) @t28)))
% 0.37/0.58  (step @p50 :rule trans :premises (@p49 @p46))
% 0.37/0.58  (step @p51 :rule bool-impl-elim :args (@t30 @t28))
% 0.37/0.58  (step @p52 :rule trans :premises (@p51 @p50))
% 0.37/0.58  (step @p53 :rule cong :premises (@p52) :args (@t32))
% 0.37/0.58  (step @p54 :rule refl :args (@t12))
% 0.37/0.58  (step @p55 :rule nary_cong :premises (@p21 @p54 @p53 @p45) :args (@t33))
% 0.37/0.58  (step @p56 :rule trans :premises (@p55 @p40))
% 0.37/0.58  (step @p57 :rule cong :premises (@p56) :args (@t34))
% 0.37/0.58  (step @p58 :rule eq_resolve :premises (@p15 @p57))
% 0.37/0.58  (step @p59 :rule not_and :premises (@p58))
% 0.37/0.58  (step @p60 :rule eq_resolve :premises (@p59 @p39))
% 0.37/0.58  (step @p61 :rule reordering :premises (@p60) :args ((or @t46 @t52 @t50 @t58 @t57)))
% 0.37/0.58  (step @p62 :rule chain_m_resolution :premises (@p61 @p33 @p24 @p23 @p8) :args (@t57 (@list true false false false) (@list @t46 @t51 @t49 @t12)))
% 0.37/0.58  (step @p63 :rule refl :args (@t70))
% 0.37/0.58  (step @p64 :rule bool-double-not-elim :args (@t56))
% 0.37/0.58  (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t57) @t70)))
% 0.37/0.58  (assume-push @p358 @t57)
% 0.37/0.58  (step @p67 :rule skolemize :premises (@p358))
% 0.37/0.58  (step-pop @p359 :rule scope :premises (@p67))
% 0.37/0.58  (step @p68 :rule process_scope :premises (@p359) :args (@t70))
% 0.37/0.58  (step @p70 :rule implies_elim :premises (@p68))
% 0.37/0.58  (step @p71 :rule eq_resolve :premises (@p70 @p65))
% 0.37/0.58  (step @p72 :rule chain_m_resolution :premises (@p71 @p62) :args (@t70 @t48 (@list @t56)))
% 0.37/0.58  (step @p73 :rule cnf_or_neg :args (@t69 2))
% 0.37/0.58  (step @p74 :rule chain_m_resolution :premises (@p73 @p72) :args (@t71 @t48 @t72))
% 0.37/0.58  (step @p75 :rule aci_norm :args ((= (or @t54 @t75) (or @t54 @t74 @t73))))
% 0.37/0.58  (step @p76 :rule bool-impl-elim :args (@t15 @t75))
% 0.37/0.58  (step @p77 :rule trans :premises (@p76 @p75))
% 0.37/0.58  (step @p78 :rule cong :premises (@p77) :args ((forall @t17 (=> @t15 @t75))))
% 0.37/0.58  (step @p79 :rule eq-symm :args (@t13 tptp.ib))
% 0.37/0.58  (step @p80 :rule eq-symm :args (@t13 tptp.ia))
% 0.37/0.58  (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t14))
% 0.37/0.58  (step @p82 :rule refl :args (@t15))
% 0.37/0.58  (step @p83 :rule cong :premises (@p82 @p81) :args (@t16))
% 0.37/0.58  (step @p84 :rule cong :premises (@p83) :args (@t18))
% 0.37/0.58  (step @p85 :rule trans :premises (@p84 @p78))
% 0.37/0.58  (step @p86 :rule eq_resolve :premises (@p9 @p85))
% 0.37/0.58  (step @p87 :rule instantiate :premises (@p86) :args ((@list @t64 @t62)))
% 0.37/0.58  (step @p88 :rule bool-double-not-elim :args (@t67))
% 0.37/0.58  (step @p89 :rule refl :args (@t69))
% 0.37/0.58  (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t69 (not @t68))))
% 0.37/0.58  (step @p91 :rule cnf_or_neg :args (@t69 0))
% 0.37/0.58  (step @p92 :rule eq_resolve :premises (@p91 @p90))
% 0.37/0.58  (step @p93 :rule reordering :premises (@p92) :args ((or @t67 @t69)))
% 0.37/0.58  (step @p94 :rule chain_m_resolution :premises (@p93 @p72) :args (@t67 @t48 @t72))
% 0.37/0.58  (step @p95 :rule refl :args (@t77))
% 0.37/0.58  (step @p96 :rule refl :args (@t79))
% 0.37/0.58  (step @p97 :rule bool-double-not-elim :args (@t63))
% 0.37/0.58  (step @p98 :rule refl :args (@t68))
% 0.37/0.58  (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95) :args ((or @t68 @t80 @t79 @t77)))
% 0.37/0.58  (assume-push @p360 @t71)
% 0.37/0.58  (assume-push @p361 @t76)
% 0.37/0.58  (assume-push @p362 @t78)
% 0.37/0.58  (assume-push @p363 @t67)
% 0.37/0.58  (step @p104 :rule evaluate :args (@t81))
% 0.37/0.58  (step @p105 :rule false_intro :premises (@p360))
% 0.37/0.58  (step @p106 :rule symm :premises (@p362))
% 0.37/0.58  (step @p107 :rule trans :premises (@p106 @p361))
% 0.37/0.58  (step @p108 :rule refl :args (@t62))
% 0.37/0.58  (step @p109 :rule cong :premises (@p108 @p107) :args (@t67))
% 0.37/0.58  (step @p110 :rule true_intro :premises (@p363))
% 0.37/0.58  (step @p111 :rule symm :premises (@p110))
% 0.37/0.58  (step @p112 :rule trans :premises (@p111 @p109 @p105))
% 0.37/0.58  (step @p113 false :rule eq_resolve :premises (@p112 @p104))
% 0.37/0.58  (step-pop @p364 :rule scope :premises (@p113))
% 0.37/0.58  (step-pop @p365 :rule scope :premises (@p364))
% 0.37/0.58  (step-pop @p366 :rule scope :premises (@p365))
% 0.37/0.58  (step-pop @p367 :rule scope :premises (@p366))
% 0.37/0.58  (step @p114 :rule process_scope :premises (@p367) :args (false))
% 0.37/0.58  (assume-push @p368 @t67)
% 0.37/0.58  (assume-push @p369 @t71)
% 0.37/0.58  (assume-push @p370 @t78)
% 0.37/0.58  (assume-push @p371 @t76)
% 0.37/0.58  (step @p123 :rule and_intro :premises (@p369 @p371 @p370 @p368))
% 0.37/0.58  (step-pop @p372 :rule scope :premises (@p123))
% 0.37/0.58  (step-pop @p373 :rule scope :premises (@p372))
% 0.37/0.58  (step-pop @p374 :rule scope :premises (@p373))
% 0.37/0.58  (step-pop @p375 :rule scope :premises (@p374))
% 0.37/0.58  (step @p124 :rule process_scope :premises (@p375) :args (@t82))
% 0.37/0.58  (step @p129 :rule implies_elim :premises (@p124))
% 0.37/0.58  (step @p130 :rule resolution :premises (@p129 @p114) :args (true @t82))
% 0.37/0.58  (step @p131 :rule not_and :premises (@p130))
% 0.37/0.58  (step @p132 :rule eq_resolve :premises (@p131 @p99))
% 0.37/0.58  (step @p133 :rule instantiate :premises (@p86) :args (@t83))
% 0.37/0.58  (step @p134 :rule cnf_or_pos :args (@t85))
% 0.37/0.58  (step @p135 :rule reordering :premises (@p134) :args ((or @t68 @t78 @t84 (not @t85))))
% 0.37/0.58  (step @p136 :rule bool-impl-elim :args (@t15 @t19))
% 0.37/0.58  (step @p137 :rule cong :premises (@p136) :args (@t20))
% 0.37/0.58  (step @p138 :rule eq_resolve :premises (@p10 @p137))
% 0.37/0.58  (step @p139 :rule instantiate :premises (@p138) :args (@t86))
% 0.37/0.58  (step @p140 :rule bool-double-not-elim :args (@t65))
% 0.37/0.58  (step @p141 :rule nary_cong :premises (@p89 @p140) :args ((or @t69 (not @t66))))
% 0.37/0.58  (step @p142 :rule cnf_or_neg :args (@t69 1))
% 0.37/0.58  (step @p143 :rule eq_resolve :premises (@p142 @p141))
% 0.37/0.58  (step @p144 :rule reordering :premises (@p143) :args ((or @t65 @t69)))
% 0.37/0.58  (step @p145 :rule chain_m_resolution :premises (@p144 @p72) :args (@t65 @t48 @t72))
% 0.37/0.58  (step @p146 :rule cnf_or_pos :args (@t88))
% 0.37/0.58  (step @p147 :rule reordering :premises (@p146) :args ((or @t66 @t87 (not @t88))))
% 0.37/0.58  (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p139) :args (@t87 @t45 (@list @t65 @t88)))
% 0.37/0.58  (step @p149 :rule instantiate :premises (@p138) :args ((@list @t61 @t62)))
% 0.37/0.58  (step @p150 :rule cnf_or_pos :args (@t91))
% 0.37/0.58  (step @p151 :rule reordering :premises (@p150) :args ((or @t63 @t90 (not @t91))))
% 0.37/0.58  (step @p152 :rule chain_m_resolution :premises (@p151 @p74 @p149) :args (@t90 (@list true false) (@list @t63 @t91)))
% 0.37/0.58  (step @p153 :rule refl :args (@t93))
% 0.37/0.58  (step @p154 :rule bool-double-not-elim :args (@t89))
% 0.37/0.58  (step @p155 :rule refl :args (@t94))
% 0.37/0.58  (step @p156 :rule refl :args (@t95))
% 0.37/0.58  (step @p157 :rule nary_cong :premises (@p156 @p95 @p155 @p154 @p153) :args ((or @t95 @t77 @t94 @t96 @t93)))
% 0.37/0.58  (assume-push @p376 @t90)
% 0.37/0.58  (assume-push @p377 @t76)
% 0.37/0.58  (assume-push @p378 @t92)
% 0.37/0.58  (assume-push @p379 @t84)
% 0.37/0.58  (assume-push @p380 @t87)
% 0.37/0.58  (step @p104 :rule evaluate :args (@t81))
% 0.37/0.58  (step @p163 :rule false_intro :premises (@p376))
% 0.37/0.58  (step @p164 :rule cong :premises (@p377 @p378) :args (@t97))
% 0.37/0.58  (step @p165 :rule symm :premises (@p379))
% 0.37/0.58  (step @p166 :rule refl :args (tptp.ia))
% 0.37/0.58  (step @p167 :rule cong :premises (@p166 @p165) :args (@t98))
% 0.37/0.58  (step @p168 :rule refl :args (@t64))
% 0.37/0.58  (step @p169 :rule symm :premises (@p377))
% 0.37/0.58  (step @p170 :rule cong :premises (@p169 @p168) :args (@t87))
% 0.37/0.58  (step @p171 :rule true_intro :premises (@p380))
% 0.37/0.58  (step @p172 :rule symm :premises (@p171))
% 0.37/0.58  (step @p173 :rule trans :premises (@p172 @p170 @p167 @p164 @p163))
% 0.37/0.58  (step @p174 false :rule eq_resolve :premises (@p173 @p104))
% 0.37/0.58  (step-pop @p381 :rule scope :premises (@p174))
% 0.37/0.58  (step-pop @p382 :rule scope :premises (@p381))
% 0.37/0.58  (step-pop @p383 :rule scope :premises (@p382))
% 0.37/0.58  (step-pop @p384 :rule scope :premises (@p383))
% 0.37/0.58  (step-pop @p385 :rule scope :premises (@p384))
% 0.37/0.58  (step @p175 :rule process_scope :premises (@p385) :args (false))
% 0.37/0.58  (assume-push @p386 @t84)
% 0.37/0.58  (assume-push @p387 @t76)
% 0.37/0.58  (assume-push @p388 @t87)
% 0.37/0.58  (assume-push @p389 @t90)
% 0.37/0.58  (assume-push @p390 @t92)
% 0.37/0.58  (step @p186 :rule and_intro :premises (@p389 @p387 @p390 @p386 @p388))
% 0.37/0.58  (step-pop @p391 :rule scope :premises (@p186))
% 0.37/0.58  (step-pop @p392 :rule scope :premises (@p391))
% 0.37/0.58  (step-pop @p393 :rule scope :premises (@p392))
% 0.37/0.58  (step-pop @p394 :rule scope :premises (@p393))
% 0.37/0.58  (step-pop @p395 :rule scope :premises (@p394))
% 0.37/0.58  (step @p187 :rule process_scope :premises (@p395) :args (@t99))
% 0.37/0.58  (step @p193 :rule implies_elim :premises (@p187))
% 0.37/0.58  (step @p194 :rule resolution :premises (@p193 @p175) :args (true @t99))
% 0.37/0.58  (step @p195 :rule not_and :premises (@p194))
% 0.37/0.58  (step @p196 :rule eq_resolve :premises (@p195 @p157))
% 0.37/0.58  (step @p197 :rule reordering :premises (@p196) :args ((or @t89 @t95 @t77 @t94 @t93)))
% 0.37/0.58  (step @p198 :rule chain_m_resolution :premises (@p197 @p152 @p148 @p135 @p133 @p94 @p132 @p74 @p94) :args ((or @t77 @t93) (@list true false false false false true true false) (@list @t89 @t87 @t84 @t85 @t67 @t78 @t63 @t67)))
% 0.37/0.58  (step @p199 :rule instantiate :premises (@p86) :args (@t86))
% 0.37/0.58  (step @p200 :rule cnf_or_pos :args (@t101))
% 0.37/0.58  (step @p201 :rule reordering :premises (@p200) :args ((or @t66 @t76 @t100 (not @t101))))
% 0.37/0.58  (step @p202 :rule refl :args (@t102))
% 0.37/0.58  (step @p203 :rule refl :args (@t103))
% 0.37/0.58  (step @p204 :rule nary_cong :premises (@p203 @p97 @p202 @p153) :args ((or @t103 @t80 @t102 @t93)))
% 0.37/0.58  (assume-push @p396 @t23)
% 0.37/0.58  (assume-push @p397 @t92)
% 0.37/0.58  (assume-push @p398 @t100)
% 0.37/0.58  (assume-push @p399 @t71)
% 0.37/0.58  (step @p209 :rule evaluate :args (@t104))
% 0.37/0.58  (step @p210 :rule true_intro :premises (@p14))
% 0.37/0.58  (step @p211 :rule symm :premises (@p398))
% 0.37/0.58  (step @p212 :rule symm :premises (@p397))
% 0.37/0.58  (step @p213 :rule cong :premises (@p212 @p211) :args (@t63))
% 0.37/0.58  (step @p214 :rule false_intro :premises (@p399))
% 0.37/0.58  (step @p215 :rule symm :premises (@p214))
% 0.37/0.58  (step @p216 :rule trans :premises (@p215 @p213 @p210))
% 0.37/0.58  (step @p217 false :rule eq_resolve :premises (@p216 @p209))
% 0.37/0.58  (step-pop @p400 :rule scope :premises (@p217))
% 0.37/0.58  (step-pop @p401 :rule scope :premises (@p400))
% 0.37/0.58  (step-pop @p402 :rule scope :premises (@p401))
% 0.37/0.58  (step-pop @p403 :rule scope :premises (@p402))
% 0.37/0.58  (step @p218 :rule process_scope :premises (@p403) :args (false))
% 0.37/0.58  (assume-push @p404 @t23)
% 0.37/0.58  (assume-push @p405 @t71)
% 0.37/0.58  (assume-push @p406 @t100)
% 0.37/0.58  (assume-push @p407 @t92)
% 0.37/0.58  (step @p227 :rule and_intro :premises (@p14 @p407 @p406 @p405))
% 0.37/0.58  (step-pop @p408 :rule scope :premises (@p227))
% 0.37/0.58  (step-pop @p409 :rule scope :premises (@p408))
% 0.37/0.58  (step-pop @p410 :rule scope :premises (@p409))
% 0.37/0.58  (step-pop @p411 :rule scope :premises (@p410))
% 0.37/0.58  (step @p228 :rule process_scope :premises (@p411) :args (@t105))
% 0.37/0.58  (step @p233 :rule implies_elim :premises (@p228))
% 0.37/0.58  (step @p234 :rule resolution :premises (@p233 @p218) :args (true @t105))
% 0.37/0.58  (step @p235 :rule not_and :premises (@p234))
% 0.37/0.58  (step @p236 :rule eq_resolve :premises (@p235 @p204))
% 0.37/0.58  (step @p237 :rule chain_m_resolution :premises (@p236 @p74 @p14 @p201 @p199 @p145 @p198) :args (@t93 (@list true false false false false true) (@list @t63 @t23 @t100 @t101 @t65 @t76)))
% 0.37/0.58  (step @p238 :rule instantiate :premises (@p138) :args (@t83))
% 0.37/0.58  (step @p239 :rule cnf_or_pos :args (@t107))
% 0.37/0.58  (step @p240 :rule reordering :premises (@p239) :args ((or @t68 @t106 (not @t107))))
% 0.37/0.58  (step @p241 :rule chain_m_resolution :premises (@p240 @p94 @p238) :args (@t106 @t45 (@list @t67 @t107)))
% 0.37/0.58  (step @p242 :rule cnf_or_pos :args (@t110))
% 0.37/0.58  (step @p243 :rule reordering :premises (@p242) :args ((or @t109 @t108 @t92 (not @t110))))
% 0.37/0.58  (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p237 @p87) :args (@t108 @t111 (@list @t106 @t92 @t110)))
% 0.37/0.58  (step @p245 :rule refl :args (@t112))
% 0.37/0.58  (step @p246 :rule nary_cong :premises (@p96 @p155 @p154 @p245) :args ((or @t79 @t94 @t96 @t112)))
% 0.37/0.58  (assume-push @p412 @t90)
% 0.37/0.58  (assume-push @p413 @t108)
% 0.37/0.58  (assume-push @p414 @t78)
% 0.37/0.58  (assume-push @p415 @t87)
% 0.37/0.58  (step @p104 :rule evaluate :args (@t81))
% 0.37/0.58  (step @p251 :rule false_intro :premises (@p412))
% 0.37/0.58  (step @p252 :rule symm :premises (@p414))
% 0.37/0.58  (step @p253 :rule trans :premises (@p252 @p413))
% 0.37/0.58  (step @p254 :rule refl :args (@t61))
% 0.37/0.58  (step @p255 :rule cong :premises (@p254 @p253) :args (@t87))
% 0.37/0.58  (step @p256 :rule true_intro :premises (@p415))
% 0.37/0.58  (step @p257 :rule symm :premises (@p256))
% 0.37/0.58  (step @p258 :rule trans :premises (@p257 @p255 @p251))
% 0.37/0.58  (step @p259 false :rule eq_resolve :premises (@p258 @p104))
% 0.37/0.58  (step-pop @p416 :rule scope :premises (@p259))
% 0.37/0.58  (step-pop @p417 :rule scope :premises (@p416))
% 0.37/0.58  (step-pop @p418 :rule scope :premises (@p417))
% 0.37/0.58  (step-pop @p419 :rule scope :premises (@p418))
% 0.37/0.58  (step @p260 :rule process_scope :premises (@p419) :args (false))
% 0.37/0.58  (assume-push @p420 @t78)
% 0.37/0.58  (assume-push @p421 @t87)
% 0.37/0.58  (assume-push @p422 @t90)
% 0.37/0.58  (assume-push @p423 @t108)
% 0.37/0.58  (step @p269 :rule and_intro :premises (@p422 @p423 @p420 @p421))
% 0.37/0.58  (step-pop @p424 :rule scope :premises (@p269))
% 0.37/0.58  (step-pop @p425 :rule scope :premises (@p424))
% 0.37/0.58  (step-pop @p426 :rule scope :premises (@p425))
% 0.37/0.58  (step-pop @p427 :rule scope :premises (@p426))
% 0.37/0.58  (step @p270 :rule process_scope :premises (@p427) :args (@t113))
% 0.37/0.58  (step @p275 :rule implies_elim :premises (@p270))
% 0.37/0.58  (step @p276 :rule resolution :premises (@p275 @p260) :args (true @t113))
% 0.37/0.58  (step @p277 :rule not_and :premises (@p276))
% 0.37/0.58  (step @p278 :rule eq_resolve :premises (@p277 @p246))
% 0.37/0.58  (step @p279 :rule reordering :premises (@p278) :args ((or @t89 @t79 @t94 @t112)))
% 0.37/0.58  (step @p280 :rule chain_m_resolution :premises (@p279 @p152 @p148 @p244) :args (@t79 (@list true false false) (@list @t89 @t87 @t108)))
% 0.37/0.58  (step @p281 :rule chain_m_resolution :premises (@p135 @p94 @p280 @p133) :args (@t84 @t111 (@list @t67 @t78 @t85)))
% 0.37/0.58  (step @p282 :rule nary_cong :premises (@p98 @p97 @p156 @p202 @p245) :args ((or @t68 @t80 @t95 @t102 @t112)))
% 0.37/0.58  (assume-push @p428 @t71)
% 0.37/0.58  (assume-push @p429 @t108)
% 0.37/0.58  (assume-push @p430 @t100)
% 0.37/0.58  (assume-push @p431 @t84)
% 0.37/0.58  (assume-push @p432 @t67)
% 0.37/0.58  (step @p104 :rule evaluate :args (@t81))
% 0.37/0.58  (step @p288 :rule false_intro :premises (@p428))
% 0.37/0.58  (step @p289 :rule cong :premises (@p429 @p430) :args (@t97))
% 0.37/0.58  (step @p290 :rule symm :premises (@p431))
% 0.37/0.58  (step @p166 :rule refl :args (tptp.ia))
% 0.37/0.58  (step @p291 :rule cong :premises (@p166 @p290) :args (@t98))
% 0.37/0.58  (step @p168 :rule refl :args (@t64))
% 0.37/0.58  (step @p292 :rule symm :premises (@p429))
% 0.37/0.58  (step @p293 :rule cong :premises (@p292 @p168) :args (@t67))
% 0.37/0.58  (step @p294 :rule true_intro :premises (@p432))
% 0.37/0.58  (step @p295 :rule symm :premises (@p294))
% 0.37/0.58  (step @p296 :rule trans :premises (@p295 @p293 @p291 @p289 @p288))
% 0.37/0.58  (step @p297 false :rule eq_resolve :premises (@p296 @p104))
% 0.37/0.58  (step-pop @p433 :rule scope :premises (@p297))
% 0.37/0.58  (step-pop @p434 :rule scope :premises (@p433))
% 0.37/0.58  (step-pop @p435 :rule scope :premises (@p434))
% 0.37/0.58  (step-pop @p436 :rule scope :premises (@p435))
% 0.37/0.58  (step-pop @p437 :rule scope :premises (@p436))
% 0.37/0.58  (step @p298 :rule process_scope :premises (@p437) :args (false))
% 0.37/0.58  (assume-push @p438 @t67)
% 0.37/0.58  (assume-push @p439 @t71)
% 0.37/0.58  (assume-push @p440 @t84)
% 0.37/0.58  (assume-push @p441 @t100)
% 0.37/0.58  (assume-push @p442 @t108)
% 0.37/0.58  (step @p309 :rule and_intro :premises (@p439 @p442 @p441 @p440 @p438))
% 0.37/0.58  (step-pop @p443 :rule scope :premises (@p309))
% 0.37/0.58  (step-pop @p444 :rule scope :premises (@p443))
% 0.37/0.58  (step-pop @p445 :rule scope :premises (@p444))
% 0.37/0.58  (step-pop @p446 :rule scope :premises (@p445))
% 0.37/0.58  (step-pop @p447 :rule scope :premises (@p446))
% 0.37/0.58  (step @p310 :rule process_scope :premises (@p447) :args (@t114))
% 0.37/0.58  (step @p316 :rule implies_elim :premises (@p310))
% 0.37/0.58  (step @p317 :rule resolution :premises (@p316 @p298) :args (true @t114))
% 0.37/0.58  (step @p318 :rule not_and :premises (@p317))
% 0.37/0.58  (step @p319 :rule eq_resolve :premises (@p318 @p282))
% 0.37/0.58  (step @p320 :rule chain_m_resolution :premises (@p319 @p94 @p74 @p281 @p244) :args (@t102 (@list false true false false) (@list @t67 @t63 @t84 @t108)))
% 0.37/0.58  (step @p321 :rule chain_m_resolution :premises (@p201 @p145 @p320 @p199) :args (@t76 @t111 (@list @t65 @t100 @t101)))
% 0.37/0.58  (step @p322 :rule refl :args (@t42))
% 0.37/0.58  (step @p323 :rule nary_cong :premises (@p322 @p97 @p95 @p245) :args ((or @t42 @t80 @t77 @t112)))
% 0.37/0.58  (assume-push @p448 @t22)
% 0.37/0.58  (assume-push @p449 @t108)
% 0.37/0.58  (assume-push @p450 @t76)
% 0.37/0.58  (assume-push @p451 @t71)
% 0.37/0.58  (step @p209 :rule evaluate :args (@t104))
% 0.37/0.58  (step @p328 :rule true_intro :premises (@p12))
% 0.37/0.58  (step @p329 :rule symm :premises (@p450))
% 0.37/0.58  (step @p330 :rule symm :premises (@p449))
% 0.37/0.58  (step @p331 :rule cong :premises (@p330 @p329) :args (@t63))
% 0.37/0.58  (step @p332 :rule false_intro :premises (@p451))
% 0.37/0.58  (step @p333 :rule symm :premises (@p332))
% 0.37/0.58  (step @p334 :rule trans :premises (@p333 @p331 @p328))
% 0.37/0.58  (step @p335 false :rule eq_resolve :premises (@p334 @p209))
% 0.37/0.58  (step-pop @p452 :rule scope :premises (@p335))
% 0.37/0.58  (step-pop @p453 :rule scope :premises (@p452))
% 0.37/0.58  (step-pop @p454 :rule scope :premises (@p453))
% 0.37/0.58  (step-pop @p455 :rule scope :premises (@p454))
% 0.37/0.58  (step @p336 :rule process_scope :premises (@p455) :args (false))
% 0.37/0.58  (assume-push @p456 @t22)
% 0.37/0.58  (assume-push @p457 @t71)
% 0.37/0.58  (assume-push @p458 @t76)
% 0.37/0.58  (assume-push @p459 @t108)
% 0.37/0.58  (step @p345 :rule and_intro :premises (@p12 @p459 @p458 @p457))
% 0.37/0.58  (step-pop @p460 :rule scope :premises (@p345))
% 0.37/0.58  (step-pop @p461 :rule scope :premises (@p460))
% 0.37/0.58  (step-pop @p462 :rule scope :premises (@p461))
% 0.37/0.58  (step-pop @p463 :rule scope :premises (@p462))
% 0.37/0.58  (step @p346 :rule process_scope :premises (@p463) :args (@t115))
% 0.37/0.58  (step @p351 :rule implies_elim :premises (@p346))
% 0.37/0.58  (step @p352 :rule resolution :premises (@p351 @p336) :args (true @t115))
% 0.37/0.58  (step @p353 :rule not_and :premises (@p352))
% 0.37/0.58  (step @p354 :rule eq_resolve :premises (@p353 @p323))
% 0.37/0.58  (step @p355 false :rule chain_m_resolution :premises (@p354 @p321 @p244 @p74 @p12) :args (false (@list false false true false) (@list @t76 @t108 @t63 @t22)))
% 0.37/0.58  )
% 0.37/0.58  % SZS output end Proof
% 0.37/0.58  % cvc5 exiting
%------------------------------------------------------------------------------