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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV378+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:01:19 AM UTC 2026

% Result   : Theorem 0.39s 0.60s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV378+1 : TPTP v9.2.1. Released v3.3.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n002.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Jun  2 20:06:18 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.39/0.60  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.39/0.60  % SZS status Theorem
% 0.39/0.60  % SZS output start Proof
% 0.39/0.60  (
% 0.39/0.60  (declare-sort $$unsorted 0)
% 0.39/0.60  (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.check_cpq (-> $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.bottom $$unsorted)
% 0.39/0.60  (declare-const tptp.create_slb $$unsorted)
% 0.39/0.60  (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.isnonempty_slb (-> $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.ok (-> $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.39/0.60  (declare-const tptp.bad $$unsorted)
% 0.39/0.60  (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted))
% 0.39/0.60  (define @t1 () (@var "W" $$unsorted))
% 0.39/0.60  (define @t2 () (@var "U" $$unsorted))
% 0.39/0.60  (define @t3 () (@var "V" $$unsorted))
% 0.39/0.60  (define @t4 () (tptp.less_than @t2 @t3))
% 0.39/0.60  (define @t5 () (@list @t2 @t3 @t1))
% 0.39/0.60  (define @t6 () (tptp.less_than @t3 @t2))
% 0.39/0.60  (define @t7 () (@list @t2 @t3))
% 0.39/0.60  (define @t8 () (@list @t2))
% 0.39/0.60  (define @t9 () (tptp.pair @t3 @t1))
% 0.39/0.60  (define @t10 () (tptp.insert_slb @t2 @t9))
% 0.39/0.60  (define @t11 () (= @t3 @t1))
% 0.39/0.60  (define @t12 () (tptp.contains_slb @t2 @t1))
% 0.39/0.60  (define @t13 () (@var "X" $$unsorted))
% 0.39/0.60  (define @t14 () (tptp.pair @t3 @t13))
% 0.39/0.60  (define @t15 () (tptp.insert_slb @t2 @t14))
% 0.39/0.60  (define @t16 () (@list @t2 @t3 @t1 @t13))
% 0.39/0.60  (define @t17 () (@var "Y" $$unsorted))
% 0.39/0.60  (define @t18 () (@list @t2 @t3 @t1 @t13 @t17))
% 0.39/0.60  (define @t19 () (and (not @t11) @t12))
% 0.39/0.60  (define @t20 () (tptp.update_slb @t2 @t1))
% 0.39/0.60  (define @t21 () (tptp.update_slb @t15 @t1))
% 0.39/0.60  (define @t22 () (tptp.succ_cpq @t2 @t3))
% 0.39/0.60  (define @t23 () (tptp.triple @t2 tptp.create_slb @t3))
% 0.39/0.60  (define @t24 () (tptp.triple @t2 @t3 @t1))
% 0.39/0.60  (define @t25 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1)))
% 0.39/0.60  (define @t26 () (tptp.contains_slb @t3 @t13))
% 0.39/0.60  (define @t27 () (tptp.triple @t2 @t3 tptp.bad))
% 0.39/0.60  (define @t28 () (tptp.ok @t27))
% 0.39/0.60  (define @t29 () (forall @t7 (= @t28 false)))
% 0.39/0.60  (define @t30 () (= @t1 tptp.bad))
% 0.39/0.60  (define @t31 () (tptp.ok @t24))
% 0.39/0.60  (define @t32 () (not @t31))
% 0.39/0.60  (define @t33 () (forall @t5 (=> @t32 @t30)))
% 0.39/0.60  (define @t34 () (tptp.remove_cpq @t24 @t13))
% 0.39/0.60  (define @t35 () (not @t26))
% 0.39/0.60  (define @t36 () (=> @t35 (= @t34 @t27)))
% 0.39/0.60  (define @t37 () (forall @t16 @t36))
% 0.39/0.60  (define @t38 () (tptp.remove_slb @t3 @t13))
% 0.39/0.60  (define @t39 () (tptp.remove_pqp @t2 @t13))
% 0.39/0.60  (define @t40 () (= @t34 (tptp.triple @t39 @t38 @t1)))
% 0.39/0.60  (define @t41 () (tptp.lookup_slb @t3 @t13))
% 0.39/0.60  (define @t42 () (tptp.less_than @t41 @t13))
% 0.39/0.60  (define @t43 () (and @t26 @t42))
% 0.39/0.60  (define @t44 () (forall @t16 (=> @t43 @t40)))
% 0.39/0.60  (define @t45 () (= @t34 (tptp.triple @t39 @t38 tptp.bad)))
% 0.39/0.60  (define @t46 () (tptp.strictly_less_than @t13 @t41))
% 0.39/0.60  (define @t47 () (and @t26 @t46))
% 0.39/0.60  (define @t48 () (forall @t16 (=> @t47 @t45)))
% 0.39/0.60  (define @t49 () (tptp.findmin_pqp_res @t2))
% 0.39/0.60  (define @t50 () (tptp.update_slb @t3 @t49))
% 0.39/0.60  (define @t51 () (tptp.findmin_cpq_eff @t24))
% 0.39/0.60  (define @t52 () (= @t51 (tptp.triple @t2 @t50 tptp.bad)))
% 0.39/0.60  (define @t53 () (tptp.contains_slb @t3 @t49))
% 0.39/0.60  (define @t54 () (not (= @t3 tptp.create_slb)))
% 0.39/0.60  (define @t55 () (tptp.lookup_slb @t3 @t49))
% 0.39/0.60  (define @t56 () (tptp.findmin_cpq_res @t2))
% 0.39/0.60  (define @t57 () (not (tptp.ok @t34)))
% 0.39/0.60  (define @t58 () (forall @t16 (=> @t32 @t57)))
% 0.39/0.60  (define @t59 () (not @t58))
% 0.39/0.60  (define @t60 () (forall @t16 (or @t31 @t57)))
% 0.39/0.60  (define @t61 () (@quantifiers_skolemize @t60 3))
% 0.39/0.60  (define @t62 () (@quantifiers_skolemize @t60 1))
% 0.39/0.60  (define @t63 () (tptp.lookup_slb @t62 @t61))
% 0.39/0.60  (define @t64 () (not @t46))
% 0.39/0.60  (define @t65 () (@quantifiers_skolemize @t60 2))
% 0.39/0.60  (define @t66 () (@quantifiers_skolemize @t60 0))
% 0.39/0.60  (define @t67 () (@list @t66 @t62 @t65 @t61))
% 0.39/0.60  (define @t68 () (not @t32))
% 0.39/0.60  (define @t69 () (tptp.triple @t66 @t62 @t65))
% 0.39/0.60  (define @t70 () (tptp.ok @t69))
% 0.39/0.60  (define @t71 () (or @t70 (= @t65 tptp.bad)))
% 0.39/0.60  (define @t72 () (forall @t5 (or @t31 @t30)))
% 0.39/0.60  (define @t73 () (= tptp.bad @t65))
% 0.39/0.60  (define @t74 () (or @t70 @t73))
% 0.39/0.60  (define @t75 () (@list false))
% 0.39/0.60  (define @t76 () (tptp.remove_cpq @t69 @t61))
% 0.39/0.60  (define @t77 () (tptp.ok @t76))
% 0.39/0.60  (define @t78 () (not @t77))
% 0.39/0.60  (define @t79 () (or @t70 @t78))
% 0.39/0.60  (define @t80 () (not @t70))
% 0.39/0.60  (define @t81 () (@list true))
% 0.39/0.60  (define @t82 () (@list @t79))
% 0.39/0.60  (define @t83 () (@list true false))
% 0.39/0.60  (define @t84 () (tptp.remove_slb @t62 @t61))
% 0.39/0.60  (define @t85 () (tptp.remove_pqp @t66 @t61))
% 0.39/0.60  (define @t86 () (tptp.triple @t85 @t84 tptp.bad))
% 0.39/0.60  (define @t87 () (tptp.ok @t86))
% 0.39/0.60  (define @t88 () (tptp.triple @t85 @t84 @t65))
% 0.39/0.60  (define @t89 () (= @t76 @t88))
% 0.39/0.60  (define @t90 () (not @t89))
% 0.39/0.60  (define @t91 () (not @t73))
% 0.39/0.60  (define @t92 () (not @t87))
% 0.39/0.60  (define @t93 () (= true false))
% 0.39/0.60  (define @t94 () (and @t92 @t73 @t89 @t77))
% 0.39/0.60  (define @t95 () (= @t76 @t86))
% 0.39/0.60  (define @t96 () (not @t95))
% 0.39/0.60  (define @t97 () (and @t73 @t90))
% 0.39/0.60  (define @t98 () (= @t27 @t34))
% 0.39/0.60  (define @t99 () (tptp.triple @t66 @t62 tptp.bad))
% 0.39/0.60  (define @t100 () (tptp.contains_slb @t62 @t61))
% 0.39/0.60  (define @t101 () (or @t100 (= @t99 @t76)))
% 0.39/0.60  (define @t102 () (forall @t16 (or @t26 @t98)))
% 0.39/0.60  (define @t103 () (= @t76 @t99))
% 0.39/0.60  (define @t104 () (or @t100 @t103))
% 0.39/0.60  (define @t105 () (not @t103))
% 0.39/0.60  (define @t106 () (and @t80 @t73 @t103 @t77))
% 0.39/0.60  (define @t107 () (tptp.strictly_less_than @t61 @t63))
% 0.39/0.60  (define @t108 () (not @t107))
% 0.39/0.60  (define @t109 () (not @t100))
% 0.39/0.60  (define @t110 () (or @t109 @t108 @t95))
% 0.39/0.60  (define @t111 () (@list false true false))
% 0.39/0.60  (define @t112 () (not @t42))
% 0.39/0.60  (define @t113 () (tptp.less_than @t63 @t61))
% 0.39/0.60  (define @t114 () (not @t113))
% 0.39/0.60  (define @t115 () (or @t109 @t114 @t89))
% 0.39/0.60  (define @t116 () (tptp.less_than @t61 @t63))
% 0.39/0.60  (define @t117 () (or @t113 @t116))
% 0.39/0.60  (define @t118 () (not @t116))
% 0.39/0.60  (define @t119 () (and @t116 @t114))
% 0.39/0.60  (define @t120 () (= @t107 @t119))
% 0.39/0.60  (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1))))
% 0.39/0.60  (assume @p2 (forall @t7 (or @t4 @t6)))
% 0.39/0.60  (assume @p3 (forall @t8 (tptp.less_than @t2 @t2)))
% 0.39/0.60  (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6)))))
% 0.39/0.60  (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2)))
% 0.39/0.60  (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb)))
% 0.39/0.60  (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10)))
% 0.39/0.60  (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2))))
% 0.39/0.60  (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11))))
% 0.39/0.60  (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3))))
% 0.39/0.60  (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17))))))
% 0.39/0.60  (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2)))
% 0.39/0.60  (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14)))))
% 0.39/0.60  (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1)))
% 0.39/0.60  (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1)))))
% 0.39/0.60  (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb)))
% 0.39/0.60  (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9)))))
% 0.39/0.60  (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14)))))
% 0.39/0.60  (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2)))
% 0.39/0.60  (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1)))))
% 0.39/0.60  (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1)))))
% 0.39/0.60  (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3)))))
% 0.39/0.60  (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3)))))
% 0.39/0.60  (assume @p24 (forall @t7 (tptp.check_cpq @t23)))
% 0.39/0.60  (assume @p25 (forall @t18 (=> (tptp.less_than @t17 @t13) (= @t25 (tptp.check_cpq @t24)))))
% 0.39/0.60  (assume @p26 (forall @t18 (=> (tptp.strictly_less_than @t13 @t17) (= @t25 false))))
% 0.39/0.60  (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t26)))
% 0.39/0.60  (assume @p28 @t29)
% 0.39/0.60  (assume @p29 @t33)
% 0.39/0.60  (assume @p30 (forall @t16 (= (tptp.insert_cpq @t24 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1))))
% 0.39/0.60  (assume @p31 @t37)
% 0.39/0.60  (assume @p32 @t44)
% 0.39/0.60  (assume @p33 @t48)
% 0.39/0.60  (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad))))
% 0.39/0.60  (assume @p35 (forall @t16 (=> (and @t54 (not @t53)) @t52)))
% 0.39/0.60  (assume @p36 (forall @t16 (=> (and @t54 @t53 (tptp.strictly_less_than @t49 @t55)) @t52)))
% 0.39/0.60  (assume @p37 (forall @t16 (=> (and @t54 @t53 (tptp.less_than @t55 @t49)) (= @t51 (tptp.triple @t2 @t50 @t1)))))
% 0.39/0.60  (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom)))
% 0.39/0.60  (assume @p39 (forall @t16 (=> @t54 (= (tptp.findmin_cpq_res @t24) @t49))))
% 0.39/0.60  (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t56))))
% 0.39/0.60  (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t56)))
% 0.39/0.60  (assume @p42 @t59)
% 0.39/0.60  (assume @p43 true)
% 0.39/0.60  (step @p44 :rule instantiate :premises (@p4) :args ((@list @t61 @t63)))
% 0.39/0.60  (step @p45 :rule aci_norm :args ((= (or (or @t35 @t64) @t45) (or @t35 @t64 @t45))))
% 0.39/0.60  (step @p46 :rule refl :args (@t45))
% 0.39/0.60  (step @p47 :rule bool-and-de-morgan :args (@t26 @t46 true))
% 0.39/0.60  (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t47) @t45)))
% 0.39/0.60  (step @p49 :rule trans :premises (@p48 @p45))
% 0.39/0.60  (step @p50 :rule bool-impl-elim :args (@t47 @t45))
% 0.39/0.60  (step @p51 :rule trans :premises (@p50 @p49))
% 0.39/0.60  (step @p52 :rule cong :premises (@p51) :args (@t48))
% 0.39/0.60  (step @p53 :rule eq_resolve :premises (@p33 @p52))
% 0.39/0.60  (step @p54 :rule instantiate :premises (@p53) :args (@t67))
% 0.39/0.60  (step @p55 :rule refl :args (@t30))
% 0.39/0.60  (step @p56 :rule bool-double-not-elim :args (@t31))
% 0.39/0.60  (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t68 @t30)))
% 0.39/0.60  (step @p58 :rule bool-impl-elim :args (@t32 @t30))
% 0.39/0.60  (step @p59 :rule trans :premises (@p58 @p57))
% 0.39/0.60  (step @p60 :rule cong :premises (@p59) :args (@t33))
% 0.39/0.60  (step @p61 :rule eq_resolve :premises (@p29 @p60))
% 0.39/0.60  (step @p62 :rule eq-symm :args (@t65 tptp.bad))
% 0.39/0.60  (step @p63 :rule refl :args (@t70))
% 0.39/0.60  (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t71))
% 0.39/0.60  (step @p65 :rule refl :args (@t72))
% 0.39/0.60  (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t72 @t71)))
% 0.39/0.60  (assume-push @p260 @t72)
% 0.39/0.60  (step @p68 :rule instantiate :premises (@p61) :args ((@list @t66 @t62 @t65)))
% 0.39/0.60  (step-pop @p261 :rule scope :premises (@p68))
% 0.39/0.60  (step @p69 :rule process_scope :premises (@p261) :args (@t71))
% 0.39/0.60  (step @p71 :rule eq_resolve :premises (@p69 @p66))
% 0.39/0.60  (step @p72 :rule implies_elim :premises (@p71))
% 0.39/0.60  (step @p73 :rule chain_m_resolution :premises (@p72 @p61) :args (@t74 @t75 (@list @t72)))
% 0.39/0.60  (step @p74 :rule refl :args (@t57))
% 0.39/0.60  (step @p75 :rule nary_cong :premises (@p56 @p74) :args ((or @t68 @t57)))
% 0.39/0.60  (step @p76 :rule bool-impl-elim :args (@t32 @t57))
% 0.39/0.60  (step @p77 :rule trans :premises (@p76 @p75))
% 0.39/0.60  (step @p78 :rule cong :premises (@p77) :args (@t58))
% 0.39/0.60  (step @p79 :rule cong :premises (@p78) :args (@t59))
% 0.39/0.60  (step @p80 :rule eq_resolve :premises (@p42 @p79))
% 0.39/0.60  (step @p81 :rule skolemize :premises (@p80))
% 0.39/0.60  (step @p82 :rule cnf_or_neg :args (@t79 0))
% 0.39/0.60  (step @p83 :rule chain_m_resolution :premises (@p82 @p81) :args (@t80 @t81 @t82))
% 0.39/0.60  (step @p84 :rule cnf_or_pos :args (@t74))
% 0.39/0.60  (step @p85 :rule reordering :premises (@p84) :args ((or @t70 @t73 (not @t74))))
% 0.39/0.60  (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p73) :args (@t73 @t83 (@list @t70 @t74)))
% 0.39/0.60  (step @p87 :rule bool-eq-false :args (@t28))
% 0.39/0.60  (step @p88 :rule cong :premises (@p87) :args (@t29))
% 0.39/0.60  (step @p89 :rule eq_resolve :premises (@p28 @p88))
% 0.39/0.60  (step @p90 :rule instantiate :premises (@p89) :args ((@list @t85 @t84)))
% 0.39/0.60  (step @p91 :rule bool-double-not-elim :args (@t77))
% 0.39/0.60  (step @p92 :rule refl :args (@t79))
% 0.39/0.60  (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t79 (not @t78))))
% 0.39/0.60  (step @p94 :rule cnf_or_neg :args (@t79 1))
% 0.39/0.60  (step @p95 :rule eq_resolve :premises (@p94 @p93))
% 0.39/0.60  (step @p96 :rule reordering :premises (@p95) :args ((or @t77 @t79)))
% 0.39/0.60  (step @p97 :rule chain_m_resolution :premises (@p96 @p81) :args (@t77 @t81 @t82))
% 0.39/0.60  (step @p98 :rule bool-double-not-elim :args (@t87))
% 0.39/0.60  (step @p99 :rule refl :args (@t90))
% 0.39/0.60  (step @p100 :rule refl :args (@t91))
% 0.39/0.60  (step @p101 :rule refl :args (@t78))
% 0.39/0.60  (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98) :args ((or @t78 @t91 @t90 (not @t92))))
% 0.39/0.60  (assume-push @p262 @t92)
% 0.39/0.60  (assume-push @p263 @t73)
% 0.39/0.60  (assume-push @p264 @t89)
% 0.39/0.60  (assume-push @p265 @t77)
% 0.39/0.60  (step @p107 :rule evaluate :args (@t93))
% 0.39/0.60  (step @p108 :rule false_intro :premises (@p90))
% 0.39/0.60  (step @p109 :rule symm :premises (@p86))
% 0.39/0.60  (step @p110 :rule refl :args (@t84))
% 0.39/0.60  (step @p111 :rule refl :args (@t85))
% 0.39/0.60  (step @p112 :rule cong :premises (@p111 @p110 @p109) :args (@t88))
% 0.39/0.60  (step @p113 :rule trans :premises (@p264 @p112))
% 0.39/0.60  (step @p114 :rule cong :premises (@p113) :args (@t77))
% 0.39/0.60  (step @p115 :rule true_intro :premises (@p97))
% 0.39/0.60  (step @p116 :rule symm :premises (@p115))
% 0.39/0.60  (step @p117 :rule trans :premises (@p116 @p114 @p108))
% 0.39/0.60  (step @p118 false :rule eq_resolve :premises (@p117 @p107))
% 0.39/0.60  (step-pop @p266 :rule scope :premises (@p118))
% 0.39/0.60  (step-pop @p267 :rule scope :premises (@p266))
% 0.39/0.60  (step-pop @p268 :rule scope :premises (@p267))
% 0.39/0.60  (step-pop @p269 :rule scope :premises (@p268))
% 0.39/0.60  (step @p119 :rule process_scope :premises (@p269) :args (false))
% 0.39/0.60  (assume-push @p270 @t77)
% 0.39/0.60  (assume-push @p271 @t73)
% 0.39/0.60  (assume-push @p272 @t89)
% 0.39/0.60  (assume-push @p273 @t92)
% 0.39/0.60  (step @p128 :rule and_intro :premises (@p90 @p86 @p272 @p97))
% 0.39/0.60  (step-pop @p274 :rule scope :premises (@p128))
% 0.39/0.60  (step-pop @p275 :rule scope :premises (@p274))
% 0.39/0.60  (step-pop @p276 :rule scope :premises (@p275))
% 0.39/0.60  (step-pop @p277 :rule scope :premises (@p276))
% 0.39/0.60  (step @p129 :rule process_scope :premises (@p277) :args (@t94))
% 0.39/0.60  (step @p134 :rule implies_elim :premises (@p129))
% 0.39/0.60  (step @p135 :rule resolution :premises (@p134 @p119) :args (true @t94))
% 0.39/0.60  (step @p136 :rule not_and :premises (@p135))
% 0.39/0.60  (step @p137 :rule eq_resolve :premises (@p136 @p102))
% 0.39/0.60  (step @p138 :rule chain_m_resolution :premises (@p137 @p97 @p86 @p90) :args (@t90 (@list false false true) (@list @t77 @t73 @t87)))
% 0.39/0.60  (step @p139 :rule refl :args (@t96))
% 0.39/0.60  (step @p140 :rule bool-double-not-elim :args (@t89))
% 0.39/0.60  (step @p141 :rule nary_cong :premises (@p100 @p140 @p139) :args ((or @t91 (not @t90) @t96)))
% 0.39/0.60  (assume-push @p278 @t73)
% 0.39/0.60  (assume-push @p279 @t90)
% 0.39/0.60  (assume-push @p280 @t90)
% 0.39/0.60  (assume-push @p281 @t73)
% 0.39/0.60  (step @p146 :rule false_intro :premises (@p279))
% 0.39/0.60  (step @p110 :rule refl :args (@t84))
% 0.39/0.60  (step @p111 :rule refl :args (@t85))
% 0.39/0.60  (step @p147 :rule cong :premises (@p111 @p110 @p86) :args (@t86))
% 0.39/0.60  (step @p148 :rule refl :args (@t76))
% 0.39/0.60  (step @p149 :rule cong :premises (@p148 @p147) :args (@t95))
% 0.39/0.60  (step @p150 :rule trans :premises (@p149 @p146))
% 0.39/0.60  (step @p151 :rule false_elim :premises (@p150))
% 0.39/0.60  (step-pop @p282 :rule scope :premises (@p151))
% 0.39/0.60  (step-pop @p283 :rule scope :premises (@p282))
% 0.39/0.60  (step @p152 :rule process_scope :premises (@p283) :args (@t96))
% 0.39/0.60  (step @p155 :rule and_intro :premises (@p279 @p86))
% 0.39/0.60  (step @p156 :rule modus_ponens :premises (@p155 @p152))
% 0.39/0.60  (step-pop @p284 :rule scope :premises (@p156))
% 0.39/0.60  (step-pop @p285 :rule scope :premises (@p284))
% 0.39/0.60  (step @p157 :rule process_scope :premises (@p285) :args (@t96))
% 0.39/0.60  (step @p160 :rule implies_elim :premises (@p157))
% 0.39/0.60  (step @p161 :rule cnf_and_neg :args (@t97))
% 0.39/0.60  (step @p162 :rule resolution :premises (@p161 @p160) :args (true @t97))
% 0.39/0.60  (step @p163 :rule eq_resolve :premises (@p162 @p141))
% 0.39/0.60  (step @p164 :rule reordering :premises (@p163) :args ((or @t89 @t91 @t96)))
% 0.39/0.60  (step @p165 :rule chain_m_resolution :premises (@p164 @p138 @p86) :args (@t96 @t83 (@list @t89 @t73)))
% 0.39/0.60  (step @p166 :rule refl :args (@t98))
% 0.39/0.60  (step @p167 :rule bool-double-not-elim :args (@t26))
% 0.39/0.60  (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or (not @t35) @t98)))
% 0.39/0.60  (step @p169 :rule bool-impl-elim :args (@t35 @t98))
% 0.39/0.60  (step @p170 :rule trans :premises (@p169 @p168))
% 0.39/0.60  (step @p171 :rule cong :premises (@p170) :args ((forall @t16 (=> @t35 @t98))))
% 0.39/0.60  (step @p172 :rule eq-symm :args (@t34 @t27))
% 0.39/0.60  (step @p173 :rule refl :args (@t35))
% 0.39/0.60  (step @p174 :rule cong :premises (@p173 @p172) :args (@t36))
% 0.39/0.60  (step @p175 :rule cong :premises (@p174) :args (@t37))
% 0.39/0.60  (step @p176 :rule trans :premises (@p175 @p171))
% 0.39/0.60  (step @p177 :rule eq_resolve :premises (@p31 @p176))
% 0.39/0.60  (step @p178 :rule eq-symm :args (@t99 @t76))
% 0.39/0.60  (step @p179 :rule refl :args (@t100))
% 0.39/0.60  (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t101))
% 0.39/0.60  (step @p181 :rule refl :args (@t102))
% 0.39/0.60  (step @p182 :rule cong :premises (@p181 @p180) :args ((=> @t102 @t101)))
% 0.39/0.60  (assume-push @p286 @t102)
% 0.39/0.60  (step @p184 :rule instantiate :premises (@p177) :args (@t67))
% 0.39/0.60  (step-pop @p287 :rule scope :premises (@p184))
% 0.39/0.60  (step @p185 :rule process_scope :premises (@p287) :args (@t101))
% 0.39/0.60  (step @p187 :rule eq_resolve :premises (@p185 @p182))
% 0.39/0.60  (step @p188 :rule implies_elim :premises (@p187))
% 0.39/0.60  (step @p189 :rule chain_m_resolution :premises (@p188 @p177) :args (@t104 @t75 (@list @t102)))
% 0.39/0.60  (step @p190 :rule refl :args (@t105))
% 0.39/0.60  (step @p191 :rule bool-double-not-elim :args (@t70))
% 0.39/0.60  (step @p192 :rule nary_cong :premises (@p101 @p191 @p100 @p190) :args ((or @t78 (not @t80) @t91 @t105)))
% 0.39/0.60  (assume-push @p288 @t80)
% 0.39/0.60  (assume-push @p289 @t73)
% 0.39/0.60  (assume-push @p290 @t103)
% 0.39/0.60  (assume-push @p291 @t77)
% 0.39/0.60  (step @p107 :rule evaluate :args (@t93))
% 0.39/0.60  (step @p197 :rule false_intro :premises (@p83))
% 0.39/0.60  (step @p198 :rule refl :args (@t62))
% 0.39/0.60  (step @p199 :rule refl :args (@t66))
% 0.39/0.60  (step @p200 :rule cong :premises (@p199 @p198 @p86) :args (@t99))
% 0.39/0.60  (step @p201 :rule trans :premises (@p290 @p200))
% 0.39/0.60  (step @p202 :rule cong :premises (@p201) :args (@t77))
% 0.39/0.60  (step @p115 :rule true_intro :premises (@p97))
% 0.39/0.60  (step @p116 :rule symm :premises (@p115))
% 0.39/0.60  (step @p203 :rule trans :premises (@p116 @p202 @p197))
% 0.39/0.60  (step @p204 false :rule eq_resolve :premises (@p203 @p107))
% 0.39/0.60  (step-pop @p292 :rule scope :premises (@p204))
% 0.39/0.60  (step-pop @p293 :rule scope :premises (@p292))
% 0.39/0.60  (step-pop @p294 :rule scope :premises (@p293))
% 0.39/0.60  (step-pop @p295 :rule scope :premises (@p294))
% 0.39/0.60  (step @p205 :rule process_scope :premises (@p295) :args (false))
% 0.39/0.60  (assume-push @p296 @t77)
% 0.39/0.60  (assume-push @p297 @t80)
% 0.39/0.60  (assume-push @p298 @t73)
% 0.39/0.60  (assume-push @p299 @t103)
% 0.39/0.60  (step @p214 :rule and_intro :premises (@p83 @p86 @p299 @p97))
% 0.39/0.60  (step-pop @p300 :rule scope :premises (@p214))
% 0.39/0.60  (step-pop @p301 :rule scope :premises (@p300))
% 0.39/0.60  (step-pop @p302 :rule scope :premises (@p301))
% 0.39/0.60  (step-pop @p303 :rule scope :premises (@p302))
% 0.39/0.60  (step @p215 :rule process_scope :premises (@p303) :args (@t106))
% 0.39/0.60  (step @p220 :rule implies_elim :premises (@p215))
% 0.39/0.60  (step @p221 :rule resolution :premises (@p220 @p205) :args (true @t106))
% 0.39/0.60  (step @p222 :rule not_and :premises (@p221))
% 0.39/0.60  (step @p223 :rule eq_resolve :premises (@p222 @p192))
% 0.39/0.60  (step @p224 :rule reordering :premises (@p223) :args ((or @t70 @t78 @t91 @t105)))
% 0.39/0.60  (step @p225 :rule chain_m_resolution :premises (@p224 @p83 @p97 @p86) :args (@t105 (@list true false false) (@list @t70 @t77 @t73)))
% 0.39/0.60  (step @p226 :rule cnf_or_pos :args (@t104))
% 0.39/0.60  (step @p227 :rule reordering :premises (@p226) :args ((or @t100 @t103 (not @t104))))
% 0.39/0.60  (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p189) :args (@t100 @t83 (@list @t103 @t104)))
% 0.39/0.60  (step @p229 :rule cnf_or_pos :args (@t110))
% 0.39/0.60  (step @p230 :rule reordering :premises (@p229) :args ((or @t109 @t108 @t95 (not @t110))))
% 0.39/0.60  (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p165 @p54) :args (@t108 @t111 (@list @t100 @t95 @t110)))
% 0.39/0.60  (step @p232 :rule instantiate :premises (@p2) :args ((@list @t63 @t61)))
% 0.39/0.60  (step @p233 :rule aci_norm :args ((= (or (or @t35 @t112) @t40) (or @t35 @t112 @t40))))
% 0.39/0.60  (step @p234 :rule refl :args (@t40))
% 0.39/0.60  (step @p235 :rule bool-and-de-morgan :args (@t26 @t42 true))
% 0.39/0.60  (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or (not @t43) @t40)))
% 0.39/0.60  (step @p237 :rule trans :premises (@p236 @p233))
% 0.39/0.60  (step @p238 :rule bool-impl-elim :args (@t43 @t40))
% 0.39/0.60  (step @p239 :rule trans :premises (@p238 @p237))
% 0.39/0.60  (step @p240 :rule cong :premises (@p239) :args (@t44))
% 0.39/0.61  (step @p241 :rule eq_resolve :premises (@p32 @p240))
% 0.39/0.61  (step @p242 :rule instantiate :premises (@p241) :args (@t67))
% 0.39/0.61  (step @p243 :rule cnf_or_pos :args (@t115))
% 0.39/0.61  (step @p244 :rule reordering :premises (@p243) :args ((or @t109 @t114 @t89 (not @t115))))
% 0.39/0.61  (step @p245 :rule chain_m_resolution :premises (@p244 @p228 @p138 @p242) :args (@t114 @t111 (@list @t100 @t89 @t115)))
% 0.39/0.61  (step @p246 :rule cnf_or_pos :args (@t117))
% 0.39/0.61  (step @p247 :rule reordering :premises (@p246) :args ((or @t113 @t116 (not @t117))))
% 0.39/0.61  (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p232) :args (@t116 @t83 (@list @t113 @t117)))
% 0.39/0.61  (step @p249 :rule bool-double-not-elim :args (@t113))
% 0.39/0.61  (step @p250 :rule refl :args (@t118))
% 0.39/0.61  (step @p251 :rule refl :args (@t119))
% 0.39/0.61  (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args ((or @t119 @t118 (not @t114))))
% 0.39/0.61  (step @p253 :rule cnf_and_neg :args (@t119))
% 0.39/0.61  (step @p254 :rule eq_resolve :premises (@p253 @p252))
% 0.39/0.61  (step @p255 :rule reordering :premises (@p254) :args ((or @t113 @t119 @t118)))
% 0.39/0.61  (step @p256 :rule chain_m_resolution :premises (@p255 @p245 @p248) :args (@t119 @t83 (@list @t113 @t116)))
% 0.39/0.61  (step @p257 :rule cnf_equiv_pos2 :args (@t120))
% 0.39/0.61  (step @p258 :rule reordering :premises (@p257) :args ((or @t107 (not @t119) (not @t120))))
% 0.39/0.61  (step @p259 false :rule chain_m_resolution :premises (@p258 @p256 @p231 @p44) :args (false @t111 (@list @t119 @t107 @t120)))
% 0.39/0.61  )
% 0.39/0.61  % SZS output end Proof
% 0.39/0.61  % cvc5 exiting
%------------------------------------------------------------------------------