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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV394+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 09:01:21 AM UTC 2026

% Result   : Theorem 0.37s 0.64s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV394+1 : TPTP v9.2.1. Released v3.3.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n006.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 20:06:34 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.28/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.64  % SZS status Theorem
% 0.37/0.64  % SZS output start Proof
% 0.37/0.64  (
% 0.37/0.64  (declare-sort $$unsorted 0)
% 0.37/0.64  (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.check_cpq (-> $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.bottom $$unsorted)
% 0.37/0.64  (declare-const tptp.create_slb $$unsorted)
% 0.37/0.64  (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.isnonempty_slb (-> $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.ok (-> $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.64  (declare-const tptp.bad $$unsorted)
% 0.37/0.64  (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.64  (define @t1 () (@var "W" $$unsorted))
% 0.37/0.64  (define @t2 () (@var "U" $$unsorted))
% 0.37/0.64  (define @t3 () (@var "V" $$unsorted))
% 0.37/0.64  (define @t4 () (tptp.less_than @t2 @t3))
% 0.37/0.64  (define @t5 () (@list @t2 @t3 @t1))
% 0.37/0.64  (define @t6 () (tptp.less_than @t3 @t2))
% 0.37/0.64  (define @t7 () (@list @t2 @t3))
% 0.37/0.64  (define @t8 () (@list @t2))
% 0.37/0.64  (define @t9 () (tptp.pair @t3 @t1))
% 0.37/0.64  (define @t10 () (tptp.insert_slb @t2 @t9))
% 0.37/0.64  (define @t11 () (= @t3 @t1))
% 0.37/0.64  (define @t12 () (tptp.contains_slb @t2 @t1))
% 0.37/0.64  (define @t13 () (@var "X" $$unsorted))
% 0.37/0.64  (define @t14 () (tptp.pair @t3 @t13))
% 0.37/0.64  (define @t15 () (tptp.insert_slb @t2 @t14))
% 0.37/0.64  (define @t16 () (@list @t2 @t3 @t1 @t13))
% 0.37/0.64  (define @t17 () (@var "Y" $$unsorted))
% 0.37/0.64  (define @t18 () (@list @t2 @t3 @t1 @t13 @t17))
% 0.37/0.64  (define @t19 () (and (not @t11) @t12))
% 0.37/0.64  (define @t20 () (tptp.update_slb @t2 @t1))
% 0.37/0.64  (define @t21 () (tptp.update_slb @t15 @t1))
% 0.37/0.64  (define @t22 () (tptp.succ_cpq @t2 @t3))
% 0.37/0.64  (define @t23 () (tptp.triple @t2 tptp.create_slb @t3))
% 0.37/0.64  (define @t24 () (tptp.triple @t2 @t3 @t1))
% 0.37/0.64  (define @t25 () (tptp.check_cpq @t24))
% 0.37/0.64  (define @t26 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t17)) @t1)))
% 0.37/0.64  (define @t27 () (tptp.less_than @t17 @t13))
% 0.37/0.64  (define @t28 () (tptp.strictly_less_than @t13 @t17))
% 0.37/0.64  (define @t29 () (tptp.contains_slb @t3 @t13))
% 0.37/0.64  (define @t30 () (tptp.triple @t2 @t3 tptp.bad))
% 0.37/0.64  (define @t31 () (tptp.ok @t30))
% 0.37/0.64  (define @t32 () (forall @t7 (= @t31 false)))
% 0.37/0.64  (define @t33 () (tptp.remove_cpq @t24 @t13))
% 0.37/0.64  (define @t34 () (not @t29))
% 0.37/0.64  (define @t35 () (=> @t34 (= @t33 @t30)))
% 0.37/0.64  (define @t36 () (forall @t16 @t35))
% 0.37/0.64  (define @t37 () (tptp.remove_slb @t3 @t13))
% 0.37/0.64  (define @t38 () (tptp.remove_pqp @t2 @t13))
% 0.37/0.64  (define @t39 () (= @t33 (tptp.triple @t38 @t37 @t1)))
% 0.37/0.64  (define @t40 () (tptp.lookup_slb @t3 @t13))
% 0.37/0.64  (define @t41 () (tptp.less_than @t40 @t13))
% 0.37/0.64  (define @t42 () (and @t29 @t41))
% 0.37/0.64  (define @t43 () (forall @t16 (=> @t42 @t39)))
% 0.37/0.64  (define @t44 () (= @t33 (tptp.triple @t38 @t37 tptp.bad)))
% 0.37/0.64  (define @t45 () (tptp.strictly_less_than @t13 @t40))
% 0.37/0.64  (define @t46 () (and @t29 @t45))
% 0.37/0.64  (define @t47 () (forall @t16 (=> @t46 @t44)))
% 0.37/0.64  (define @t48 () (tptp.findmin_pqp_res @t2))
% 0.37/0.64  (define @t49 () (tptp.update_slb @t3 @t48))
% 0.37/0.64  (define @t50 () (tptp.findmin_cpq_eff @t24))
% 0.37/0.64  (define @t51 () (= @t50 (tptp.triple @t2 @t49 tptp.bad)))
% 0.37/0.64  (define @t52 () (tptp.contains_slb @t3 @t48))
% 0.37/0.64  (define @t53 () (not (= @t3 tptp.create_slb)))
% 0.37/0.64  (define @t54 () (tptp.lookup_slb @t3 @t48))
% 0.37/0.64  (define @t55 () (tptp.findmin_cpq_res @t2))
% 0.37/0.64  (define @t56 () (tptp.pair_in_list @t3 @t13 @t17))
% 0.37/0.64  (define @t57 () (=> @t56 @t27))
% 0.37/0.64  (define @t58 () (@list @t13 @t17))
% 0.37/0.64  (define @t59 () (forall @t58 @t57))
% 0.37/0.64  (define @t60 () (= @t25 @t59))
% 0.37/0.64  (define @t61 () (forall @t5 @t60))
% 0.37/0.64  (define @t62 () (tptp.pair_in_list @t37 @t13 @t17))
% 0.37/0.64  (define @t63 () (tptp.ok @t33))
% 0.37/0.64  (define @t64 () (and @t56 @t28 @t63))
% 0.37/0.64  (define @t65 () (forall @t18 (=> @t64 @t62)))
% 0.37/0.64  (define @t66 () (@list @t17))
% 0.37/0.64  (define @t67 () (forall @t66 @t57))
% 0.37/0.64  (define @t68 () (tptp.check_cpq @t33))
% 0.37/0.64  (define @t69 () (and @t68 @t63))
% 0.37/0.64  (define @t70 () (=> @t69 @t67))
% 0.37/0.64  (define @t71 () (forall @t16 @t70))
% 0.37/0.64  (define @t72 () (not @t71))
% 0.37/0.64  (define @t73 () (@var "BOUND_VARIABLE_7800" $$unsorted))
% 0.37/0.64  (define @t74 () (tptp.less_than @t73 @t13))
% 0.37/0.64  (define @t75 () (not (tptp.pair_in_list @t3 @t13 @t73)))
% 0.37/0.64  (define @t76 () (not @t63))
% 0.37/0.64  (define @t77 () (not @t68))
% 0.37/0.64  (define @t78 () (or @t77 @t76 @t75 @t74))
% 0.37/0.64  (define @t79 () (or @t75 @t74))
% 0.37/0.64  (define @t80 () (or @t77 @t76 @t79))
% 0.37/0.64  (define @t81 () (@list @t2 @t3 @t1 @t13 @t73))
% 0.37/0.64  (define @t82 () (forall @t81 @t80))
% 0.37/0.64  (define @t83 () (@list @t73))
% 0.37/0.64  (define @t84 () (forall @t83 @t80))
% 0.37/0.64  (define @t85 () (forall @t83 @t79))
% 0.37/0.64  (define @t86 () (or @t77 @t76 @t85))
% 0.37/0.64  (define @t87 () (not @t56))
% 0.37/0.64  (define @t88 () (forall @t66 (or @t87 @t27)))
% 0.37/0.64  (define @t89 () (or @t77 @t76 @t88))
% 0.37/0.64  (define @t90 () (forall @t81 @t78))
% 0.37/0.64  (define @t91 () (@quantifiers_skolemize @t90 3))
% 0.37/0.64  (define @t92 () (@quantifiers_skolemize @t90 2))
% 0.37/0.64  (define @t93 () (@quantifiers_skolemize @t90 1))
% 0.37/0.64  (define @t94 () (@quantifiers_skolemize @t90 0))
% 0.37/0.64  (define @t95 () (tptp.remove_cpq (tptp.triple @t94 @t93 @t92) @t91))
% 0.37/0.64  (define @t96 () (tptp.ok @t95))
% 0.37/0.64  (define @t97 () (@quantifiers_skolemize @t90 4))
% 0.37/0.64  (define @t98 () (tptp.less_than @t97 @t91))
% 0.37/0.64  (define @t99 () (tptp.pair_in_list @t93 @t91 @t97))
% 0.37/0.64  (define @t100 () (not @t99))
% 0.37/0.64  (define @t101 () (not @t96))
% 0.37/0.64  (define @t102 () (tptp.check_cpq @t95))
% 0.37/0.64  (define @t103 () (not @t102))
% 0.37/0.64  (define @t104 () (or @t103 @t101 @t100 @t98))
% 0.37/0.64  (define @t105 () (@list true))
% 0.37/0.64  (define @t106 () (@list @t104))
% 0.37/0.64  (define @t107 () (= @t30 @t33))
% 0.37/0.64  (define @t108 () (tptp.triple @t94 @t93 tptp.bad))
% 0.37/0.64  (define @t109 () (tptp.contains_slb @t93 @t91))
% 0.37/0.64  (define @t110 () (or @t109 (= @t108 @t95)))
% 0.37/0.64  (define @t111 () (forall @t16 (or @t29 @t107)))
% 0.37/0.64  (define @t112 () (@list @t94 @t93 @t92 @t91))
% 0.37/0.64  (define @t113 () (= @t95 @t108))
% 0.37/0.64  (define @t114 () (or @t109 @t113))
% 0.37/0.64  (define @t115 () (not @t45))
% 0.37/0.64  (define @t116 () (tptp.remove_slb @t93 @t91))
% 0.37/0.64  (define @t117 () (tptp.remove_pqp @t94 @t91))
% 0.37/0.64  (define @t118 () (tptp.triple @t117 @t116 tptp.bad))
% 0.37/0.64  (define @t119 () (tptp.ok @t118))
% 0.37/0.64  (define @t120 () (= @t95 @t118))
% 0.37/0.64  (define @t121 () (not @t120))
% 0.37/0.64  (define @t122 () (not @t119))
% 0.37/0.64  (define @t123 () (= false true))
% 0.37/0.64  (define @t124 () (@list false true))
% 0.37/0.64  (define @t125 () (tptp.lookup_slb @t93 @t91))
% 0.37/0.64  (define @t126 () (tptp.strictly_less_than @t91 @t125))
% 0.37/0.64  (define @t127 () (not @t126))
% 0.37/0.64  (define @t128 () (not @t109))
% 0.37/0.64  (define @t129 () (or @t128 @t127 @t120))
% 0.37/0.64  (define @t130 () (not @t41))
% 0.37/0.64  (define @t131 () (not @t28))
% 0.37/0.64  (define @t132 () (or @t87 @t131 @t76))
% 0.37/0.64  (define @t133 () (@list @t91 @t97))
% 0.37/0.64  (define @t134 () (not @t98))
% 0.37/0.64  (define @t135 () (tptp.less_than @t91 @t97))
% 0.37/0.64  (define @t136 () (or @t98 @t135))
% 0.37/0.64  (define @t137 () (@list true false))
% 0.37/0.64  (define @t138 () (not @t135))
% 0.37/0.64  (define @t139 () (and @t135 @t134))
% 0.37/0.64  (define @t140 () (tptp.strictly_less_than @t91 @t97))
% 0.37/0.64  (define @t141 () (= @t140 @t139))
% 0.37/0.64  (define @t142 () (tptp.pair_in_list @t116 @t91 @t97))
% 0.37/0.64  (define @t143 () (not @t140))
% 0.37/0.64  (define @t144 () (or @t100 @t143 @t101 @t142))
% 0.37/0.64  (define @t145 () (not @t142))
% 0.37/0.64  (define @t146 () (or @t145 @t98))
% 0.37/0.64  (define @t147 () (not @t146))
% 0.37/0.64  (define @t148 () (forall @t58 (or (not (tptp.pair_in_list @t116 @t13 @t17)) @t27)))
% 0.37/0.64  (define @t149 () (tptp.triple @t117 @t116 @t92))
% 0.37/0.64  (define @t150 () (tptp.check_cpq @t149))
% 0.37/0.64  (define @t151 () (= @t150 @t148))
% 0.37/0.64  (define @t152 () (not @t150))
% 0.37/0.64  (define @t153 () (= @t95 @t149))
% 0.37/0.64  (define @t154 () (not @t153))
% 0.37/0.64  (define @t155 () (tptp.less_than @t125 @t91))
% 0.37/0.64  (define @t156 () (not @t155))
% 0.37/0.64  (define @t157 () (or @t128 @t156 @t153))
% 0.37/0.64  (define @t158 () (tptp.less_than @t91 @t125))
% 0.37/0.64  (define @t159 () (and @t158 @t156))
% 0.37/0.64  (define @t160 () (= @t126 @t159))
% 0.37/0.64  (define @t161 () (or @t155 @t158))
% 0.37/0.64  (define @t162 () (not @t158))
% 0.37/0.64  (define @t163 () (tptp.ok @t108))
% 0.37/0.64  (define @t164 () (not @t113))
% 0.37/0.64  (define @t165 () (not @t163))
% 0.37/0.64  (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1))))
% 0.37/0.64  (assume @p2 (forall @t7 (or @t4 @t6)))
% 0.37/0.64  (assume @p3 (forall @t8 (tptp.less_than @t2 @t2)))
% 0.37/0.64  (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6)))))
% 0.37/0.64  (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2)))
% 0.37/0.64  (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb)))
% 0.37/0.64  (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10)))
% 0.37/0.64  (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2))))
% 0.37/0.64  (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11))))
% 0.37/0.64  (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3))))
% 0.37/0.64  (assume @p11 (forall @t18 (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17))))))
% 0.37/0.64  (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2)))
% 0.37/0.64  (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14)))))
% 0.37/0.64  (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1)))
% 0.37/0.64  (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1)))))
% 0.37/0.64  (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb)))
% 0.37/0.64  (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t21 (tptp.insert_slb @t20 @t9)))))
% 0.37/0.64  (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t21 (tptp.insert_slb @t20 @t14)))))
% 0.37/0.64  (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2)))
% 0.37/0.64  (assume @p20 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1)))))
% 0.37/0.64  (assume @p21 (forall @t5 (=> @t22 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1)))))
% 0.37/0.64  (assume @p22 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3)))))
% 0.37/0.64  (assume @p23 (forall @t7 (=> @t22 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3)))))
% 0.37/0.64  (assume @p24 (forall @t7 (tptp.check_cpq @t23)))
% 0.37/0.64  (assume @p25 (forall @t18 (=> @t27 (= @t26 @t25))))
% 0.37/0.64  (assume @p26 (forall @t18 (=> @t28 (= @t26 false))))
% 0.37/0.64  (assume @p27 (forall @t16 (= (tptp.contains_cpq @t24 @t13) @t29)))
% 0.37/0.64  (assume @p28 @t32)
% 0.37/0.64  (assume @p29 (forall @t5 (=> (not (tptp.ok @t24)) (= @t1 tptp.bad))))
% 0.37/0.64  (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))))
% 0.37/0.64  (assume @p31 @t36)
% 0.37/0.64  (assume @p32 @t43)
% 0.37/0.64  (assume @p33 @t47)
% 0.37/0.64  (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t23) (tptp.triple @t2 tptp.create_slb tptp.bad))))
% 0.37/0.64  (assume @p35 (forall @t16 (=> (and @t53 (not @t52)) @t51)))
% 0.37/0.64  (assume @p36 (forall @t16 (=> (and @t53 @t52 (tptp.strictly_less_than @t48 @t54)) @t51)))
% 0.37/0.64  (assume @p37 (forall @t16 (=> (and @t53 @t52 (tptp.less_than @t54 @t48)) (= @t50 (tptp.triple @t2 @t49 @t1)))))
% 0.37/0.64  (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t23) tptp.bottom)))
% 0.37/0.64  (assume @p39 (forall @t16 (=> @t53 (= (tptp.findmin_cpq_res @t24) @t48))))
% 0.37/0.64  (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t55))))
% 0.37/0.64  (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t55)))
% 0.37/0.64  (assume @p42 @t61)
% 0.37/0.64  (assume @p43 @t65)
% 0.37/0.64  (assume @p44 @t72)
% 0.37/0.64  (assume @p45 true)
% 0.37/0.64  (step @p46 :rule aci_norm :args ((= @t80 @t78)))
% 0.37/0.64  (step @p47 :rule cong :premises (@p46) :args (@t82))
% 0.37/0.64  (step @p48 :rule quant-merge-prenex :args ((= (forall @t16 @t84) @t82)))
% 0.37/0.64  (step @p49 :rule alpha_equiv :args (@t85 (@list @t73) (@list @t17)))
% 0.37/0.64  (step @p50 :rule refl :args (@t76))
% 0.37/0.64  (step @p51 :rule refl :args (@t77))
% 0.37/0.64  (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t86))
% 0.37/0.64  (step @p53 :rule quant-miniscope-or :args ((= @t84 @t86)))
% 0.37/0.64  (step @p54 :rule trans :premises (@p53 @p52))
% 0.37/0.64  (step @p55 :rule symm :premises (@p54))
% 0.37/0.64  (step @p56 :rule cong :premises (@p55) :args ((forall @t16 @t89)))
% 0.37/0.64  (step @p57 :rule trans :premises (@p56 @p48))
% 0.37/0.64  (step @p58 :rule trans :premises (@p57 @p47))
% 0.37/0.64  (step @p59 :rule aci_norm :args ((= (or (or @t77 @t76) @t88) @t89)))
% 0.37/0.64  (step @p60 :rule refl :args (@t88))
% 0.37/0.64  (step @p61 :rule bool-and-de-morgan :args (@t68 @t63 true))
% 0.37/0.64  (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t69) @t88)))
% 0.37/0.64  (step @p63 :rule trans :premises (@p62 @p59))
% 0.37/0.64  (step @p64 :rule bool-impl-elim :args (@t69 @t88))
% 0.37/0.64  (step @p65 :rule trans :premises (@p64 @p63))
% 0.37/0.64  (step @p66 :rule cong :premises (@p65) :args ((forall @t16 (=> @t69 @t88))))
% 0.37/0.64  (step @p67 :rule trans :premises (@p66 @p58))
% 0.37/0.64  (step @p68 :rule bool-impl-elim :args (@t56 @t27))
% 0.37/0.64  (step @p69 :rule cong :premises (@p68) :args (@t67))
% 0.37/0.64  (step @p70 :rule refl :args (@t69))
% 0.37/0.64  (step @p71 :rule cong :premises (@p70 @p69) :args (@t70))
% 0.37/0.64  (step @p72 :rule cong :premises (@p71) :args (@t71))
% 0.37/0.64  (step @p73 :rule trans :premises (@p72 @p67))
% 0.37/0.64  (step @p74 :rule cong :premises (@p73) :args (@t72))
% 0.37/0.64  (step @p75 :rule eq_resolve :premises (@p44 @p74))
% 0.37/0.64  (step @p76 :rule skolemize :premises (@p75))
% 0.37/0.64  (step @p77 :rule bool-double-not-elim :args (@t96))
% 0.37/0.64  (step @p78 :rule refl :args (@t104))
% 0.37/0.64  (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t104 (not @t101))))
% 0.37/0.64  (step @p80 :rule cnf_or_neg :args (@t104 1))
% 0.37/0.64  (step @p81 :rule eq_resolve :premises (@p80 @p79))
% 0.37/0.64  (step @p82 :rule reordering :premises (@p81) :args ((or @t96 @t104)))
% 0.37/0.64  (step @p83 :rule chain_m_resolution :premises (@p82 @p76) :args (@t96 @t105 @t106))
% 0.37/0.64  (step @p84 :rule bool-eq-false :args (@t31))
% 0.37/0.64  (step @p85 :rule cong :premises (@p84) :args (@t32))
% 0.37/0.64  (step @p86 :rule eq_resolve :premises (@p28 @p85))
% 0.37/0.64  (step @p87 :rule instantiate :premises (@p86) :args ((@list @t94 @t93)))
% 0.37/0.64  (step @p88 :rule refl :args (@t107))
% 0.37/0.64  (step @p89 :rule bool-double-not-elim :args (@t29))
% 0.37/0.64  (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t34) @t107)))
% 0.37/0.64  (step @p91 :rule bool-impl-elim :args (@t34 @t107))
% 0.37/0.64  (step @p92 :rule trans :premises (@p91 @p90))
% 0.37/0.64  (step @p93 :rule cong :premises (@p92) :args ((forall @t16 (=> @t34 @t107))))
% 0.37/0.64  (step @p94 :rule eq-symm :args (@t33 @t30))
% 0.37/0.64  (step @p95 :rule refl :args (@t34))
% 0.37/0.64  (step @p96 :rule cong :premises (@p95 @p94) :args (@t35))
% 0.37/0.64  (step @p97 :rule cong :premises (@p96) :args (@t36))
% 0.37/0.64  (step @p98 :rule trans :premises (@p97 @p93))
% 0.37/0.64  (step @p99 :rule eq_resolve :premises (@p31 @p98))
% 0.37/0.64  (step @p100 :rule eq-symm :args (@t108 @t95))
% 0.37/0.64  (step @p101 :rule refl :args (@t109))
% 0.37/0.64  (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t110))
% 0.37/0.64  (step @p103 :rule refl :args (@t111))
% 0.37/0.64  (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t111 @t110)))
% 0.37/0.64  (assume-push @p283 @t111)
% 0.37/0.64  (step @p106 :rule instantiate :premises (@p99) :args (@t112))
% 0.37/0.64  (step-pop @p284 :rule scope :premises (@p106))
% 0.37/0.64  (step @p107 :rule process_scope :premises (@p284) :args (@t110))
% 0.37/0.64  (step @p109 :rule eq_resolve :premises (@p107 @p104))
% 0.37/0.64  (step @p110 :rule implies_elim :premises (@p109))
% 0.37/0.64  (step @p111 :rule chain_m_resolution :premises (@p110 @p99) :args (@t114 (@list false) (@list @t111)))
% 0.37/0.64  (step @p112 :rule aci_norm :args ((= (or (or @t34 @t115) @t44) (or @t34 @t115 @t44))))
% 0.37/0.64  (step @p113 :rule refl :args (@t44))
% 0.37/0.64  (step @p114 :rule bool-and-de-morgan :args (@t29 @t45 true))
% 0.37/0.64  (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t46) @t44)))
% 0.37/0.64  (step @p116 :rule trans :premises (@p115 @p112))
% 0.37/0.64  (step @p117 :rule bool-impl-elim :args (@t46 @t44))
% 0.37/0.64  (step @p118 :rule trans :premises (@p117 @p116))
% 0.37/0.64  (step @p119 :rule cong :premises (@p118) :args (@t47))
% 0.37/0.64  (step @p120 :rule eq_resolve :premises (@p33 @p119))
% 0.37/0.64  (step @p121 :rule instantiate :premises (@p120) :args (@t112))
% 0.37/0.64  (step @p122 :rule instantiate :premises (@p86) :args ((@list @t117 @t116)))
% 0.37/0.64  (step @p123 :rule bool-double-not-elim :args (@t119))
% 0.37/0.64  (step @p124 :rule refl :args (@t121))
% 0.37/0.64  (step @p125 :rule refl :args (@t101))
% 0.37/0.64  (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args ((or @t101 @t121 (not @t122))))
% 0.37/0.64  (assume-push @p285 @t96)
% 0.37/0.64  (assume-push @p286 @t120)
% 0.37/0.64  (assume-push @p287 @t122)
% 0.37/0.64  (step @p130 :rule evaluate :args (@t123))
% 0.37/0.64  (step @p131 :rule true_intro :premises (@p83))
% 0.37/0.64  (step @p132 :rule symm :premises (@p286))
% 0.37/0.64  (step @p133 :rule cong :premises (@p132) :args (@t119))
% 0.37/0.64  (step @p134 :rule false_intro :premises (@p122))
% 0.37/0.64  (step @p135 :rule symm :premises (@p134))
% 0.37/0.64  (step @p136 :rule trans :premises (@p135 @p133 @p131))
% 0.37/0.64  (step @p137 false :rule eq_resolve :premises (@p136 @p130))
% 0.37/0.64  (step-pop @p288 :rule scope :premises (@p137))
% 0.37/0.64  (step-pop @p289 :rule scope :premises (@p288))
% 0.37/0.64  (step-pop @p290 :rule scope :premises (@p289))
% 0.37/0.64  (step @p138 :rule process_scope :premises (@p290) :args (false))
% 0.37/0.64  (step @p142 :rule not_and :premises (@p138))
% 0.37/0.64  (step @p143 :rule eq_resolve :premises (@p142 @p126))
% 0.37/0.64  (step @p144 :rule chain_m_resolution :premises (@p143 @p83 @p122) :args (@t121 @t124 (@list @t96 @t119)))
% 0.37/0.64  (step @p145 :rule cnf_or_pos :args (@t129))
% 0.37/0.64  (step @p146 :rule reordering :premises (@p145) :args ((or @t128 @t127 @t120 (not @t129))))
% 0.37/0.64  (step @p147 :rule aci_norm :args ((= (or (or @t34 @t130) @t39) (or @t34 @t130 @t39))))
% 0.37/0.64  (step @p148 :rule refl :args (@t39))
% 0.37/0.64  (step @p149 :rule bool-and-de-morgan :args (@t29 @t41 true))
% 0.37/0.64  (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t42) @t39)))
% 0.37/0.64  (step @p151 :rule trans :premises (@p150 @p147))
% 0.37/0.64  (step @p152 :rule bool-impl-elim :args (@t42 @t39))
% 0.37/0.64  (step @p153 :rule trans :premises (@p152 @p151))
% 0.37/0.64  (step @p154 :rule cong :premises (@p153) :args (@t43))
% 0.37/0.64  (step @p155 :rule eq_resolve :premises (@p32 @p154))
% 0.37/0.64  (step @p156 :rule instantiate :premises (@p155) :args (@t112))
% 0.37/0.64  (step @p157 :rule cong :premises (@p68) :args (@t59))
% 0.37/0.64  (step @p158 :rule refl :args (@t25))
% 0.37/0.64  (step @p159 :rule cong :premises (@p158 @p157) :args (@t60))
% 0.37/0.64  (step @p160 :rule cong :premises (@p159) :args (@t61))
% 0.37/0.64  (step @p161 :rule eq_resolve :premises (@p42 @p160))
% 0.37/0.64  (step @p162 :rule instantiate :premises (@p161) :args ((@list @t117 @t116 @t92)))
% 0.37/0.64  (step @p163 :rule aci_norm :args ((= (or @t132 @t62) (or @t87 @t131 @t76 @t62))))
% 0.37/0.64  (step @p164 :rule refl :args (@t62))
% 0.37/0.64  (step @p165 :rule aci_norm :args ((= (or @t87 (or @t131 @t76)) @t132)))
% 0.37/0.64  (step @p166 :rule bool-and-de-morgan :args (@t28 @t63 true))
% 0.37/0.64  (step @p167 :rule refl :args (@t87))
% 0.37/0.64  (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t87 (not (and @t28 @t63)))))
% 0.37/0.64  (step @p169 :rule bool-and-de-morgan :args (@t56 @t28 (and @t63)))
% 0.37/0.64  (step @p170 :rule trans :premises (@p169 @p168))
% 0.37/0.64  (step @p171 :rule trans :premises (@p170 @p165))
% 0.37/0.64  (step @p172 :rule nary_cong :premises (@p171 @p164) :args ((or (not @t64) @t62)))
% 0.37/0.64  (step @p173 :rule trans :premises (@p172 @p163))
% 0.37/0.64  (step @p174 :rule bool-impl-elim :args (@t64 @t62))
% 0.37/0.64  (step @p175 :rule trans :premises (@p174 @p173))
% 0.37/0.64  (step @p176 :rule cong :premises (@p175) :args (@t65))
% 0.37/0.64  (step @p177 :rule eq_resolve :premises (@p43 @p176))
% 0.37/0.64  (step @p178 :rule instantiate :premises (@p177) :args ((@list @t94 @t93 @t92 @t91 @t97)))
% 0.37/0.64  (step @p179 :rule instantiate :premises (@p4) :args (@t133))
% 0.37/0.64  (step @p180 :rule instantiate :premises (@p2) :args ((@list @t97 @t91)))
% 0.37/0.64  (step @p181 :rule cnf_or_neg :args (@t104 3))
% 0.37/0.64  (step @p182 :rule chain_m_resolution :premises (@p181 @p76) :args (@t134 @t105 @t106))
% 0.37/0.64  (step @p183 :rule cnf_or_pos :args (@t136))
% 0.37/0.64  (step @p184 :rule reordering :premises (@p183) :args ((or @t98 @t135 (not @t136))))
% 0.37/0.64  (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p180) :args (@t135 @t137 (@list @t98 @t136)))
% 0.37/0.64  (step @p186 :rule bool-double-not-elim :args (@t98))
% 0.37/0.64  (step @p187 :rule refl :args (@t138))
% 0.37/0.64  (step @p188 :rule refl :args (@t139))
% 0.37/0.64  (step @p189 :rule nary_cong :premises (@p188 @p187 @p186) :args ((or @t139 @t138 (not @t134))))
% 0.37/0.64  (step @p190 :rule cnf_and_neg :args (@t139))
% 0.37/0.64  (step @p191 :rule eq_resolve :premises (@p190 @p189))
% 0.37/0.64  (step @p192 :rule reordering :premises (@p191) :args ((or @t98 @t138 @t139)))
% 0.37/0.64  (step @p193 :rule chain_m_resolution :premises (@p192 @p182 @p185) :args (@t139 @t137 (@list @t98 @t135)))
% 0.37/0.64  (step @p194 :rule cnf_equiv_pos2 :args (@t141))
% 0.37/0.64  (step @p195 :rule reordering :premises (@p194) :args ((or @t140 (not @t139) (not @t141))))
% 0.37/0.64  (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p179) :args (@t140 (@list false false) (@list @t139 @t141)))
% 0.37/0.64  (step @p197 :rule bool-double-not-elim :args (@t99))
% 0.37/0.64  (step @p198 :rule nary_cong :premises (@p78 @p197) :args ((or @t104 (not @t100))))
% 0.37/0.64  (step @p199 :rule cnf_or_neg :args (@t104 2))
% 0.37/0.64  (step @p200 :rule eq_resolve :premises (@p199 @p198))
% 0.37/0.64  (step @p201 :rule reordering :premises (@p200) :args ((or @t99 @t104)))
% 0.37/0.64  (step @p202 :rule chain_m_resolution :premises (@p201 @p76) :args (@t99 @t105 @t106))
% 0.37/0.64  (step @p203 :rule cnf_or_pos :args (@t144))
% 0.37/0.64  (step @p204 :rule reordering :premises (@p203) :args ((or @t101 @t100 @t143 @t142 (not @t144))))
% 0.37/0.64  (step @p205 :rule chain_m_resolution :premises (@p204 @p83 @p202 @p196 @p178) :args (@t142 (@list false false false false) (@list @t96 @t99 @t140 @t144)))
% 0.37/0.64  (step @p206 :rule cnf_or_pos :args (@t146))
% 0.37/0.64  (step @p207 :rule reordering :premises (@p206) :args ((or @t98 @t145 @t147)))
% 0.37/0.64  (step @p208 :rule chain_m_resolution :premises (@p207 @p182 @p205) :args (@t147 @t137 (@list @t98 @t142)))
% 0.37/0.64  (assume-push @p291 @t148)
% 0.37/0.64  (step @p210 :rule instantiate :premises (@p291) :args (@t133))
% 0.37/0.64  (step-pop @p292 :rule scope :premises (@p210))
% 0.37/0.64  (step @p211 :rule process_scope :premises (@p292) :args (@t146))
% 0.37/0.64  (step @p213 :rule implies_elim :premises (@p211))
% 0.37/0.64  (step @p214 :rule chain_m_resolution :premises (@p213 @p208) :args ((not @t148) @t105 (@list @t146)))
% 0.37/0.64  (step @p215 :rule cnf_equiv_pos1 :args (@t151))
% 0.37/0.64  (step @p216 :rule reordering :premises (@p215) :args ((or @t148 @t152 (not @t151))))
% 0.37/0.64  (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p162) :args (@t152 @t137 (@list @t148 @t151)))
% 0.37/0.64  (step @p218 :rule bool-double-not-elim :args (@t102))
% 0.37/0.64  (step @p219 :rule nary_cong :premises (@p78 @p218) :args ((or @t104 (not @t103))))
% 0.37/0.64  (step @p220 :rule cnf_or_neg :args (@t104 0))
% 0.37/0.64  (step @p221 :rule eq_resolve :premises (@p220 @p219))
% 0.37/0.64  (step @p222 :rule reordering :premises (@p221) :args ((or @t102 @t104)))
% 0.37/0.64  (step @p223 :rule chain_m_resolution :premises (@p222 @p76) :args (@t102 @t105 @t106))
% 0.37/0.64  (step @p224 :rule bool-double-not-elim :args (@t150))
% 0.37/0.64  (step @p225 :rule refl :args (@t154))
% 0.37/0.64  (step @p226 :rule refl :args (@t103))
% 0.37/0.64  (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args ((or @t103 @t154 (not @t152))))
% 0.37/0.64  (assume-push @p293 @t102)
% 0.37/0.64  (assume-push @p294 @t153)
% 0.37/0.64  (assume-push @p295 @t152)
% 0.37/0.64  (step @p130 :rule evaluate :args (@t123))
% 0.37/0.64  (step @p231 :rule true_intro :premises (@p223))
% 0.37/0.64  (step @p232 :rule symm :premises (@p294))
% 0.37/0.64  (step @p233 :rule cong :premises (@p232) :args (@t150))
% 0.37/0.64  (step @p234 :rule false_intro :premises (@p295))
% 0.37/0.64  (step @p235 :rule symm :premises (@p234))
% 0.37/0.64  (step @p236 :rule trans :premises (@p235 @p233 @p231))
% 0.37/0.64  (step @p237 false :rule eq_resolve :premises (@p236 @p130))
% 0.37/0.64  (step-pop @p296 :rule scope :premises (@p237))
% 0.37/0.64  (step-pop @p297 :rule scope :premises (@p296))
% 0.37/0.64  (step-pop @p298 :rule scope :premises (@p297))
% 0.37/0.64  (step @p238 :rule process_scope :premises (@p298) :args (false))
% 0.37/0.64  (step @p242 :rule not_and :premises (@p238))
% 0.37/0.64  (step @p243 :rule eq_resolve :premises (@p242 @p227))
% 0.37/0.64  (step @p244 :rule chain_m_resolution :premises (@p243 @p223 @p217) :args (@t154 @t124 (@list @t102 @t150)))
% 0.37/0.64  (step @p245 :rule cnf_or_pos :args (@t157))
% 0.37/0.64  (step @p246 :rule reordering :premises (@p245) :args ((or @t128 @t156 @t153 (not @t157))))
% 0.37/0.64  (step @p247 :rule instantiate :premises (@p4) :args ((@list @t91 @t125)))
% 0.37/0.64  (step @p248 :rule cnf_equiv_pos2 :args (@t160))
% 0.37/0.64  (step @p249 :rule reordering :premises (@p248) :args ((or @t126 (not @t159) (not @t160))))
% 0.37/0.64  (step @p250 :rule instantiate :premises (@p2) :args ((@list @t125 @t91)))
% 0.37/0.64  (step @p251 :rule cnf_or_pos :args (@t161))
% 0.37/0.64  (step @p252 :rule reordering :premises (@p251) :args ((or @t155 @t158 (not @t161))))
% 0.37/0.64  (step @p253 :rule bool-double-not-elim :args (@t155))
% 0.37/0.64  (step @p254 :rule refl :args (@t162))
% 0.37/0.64  (step @p255 :rule refl :args (@t159))
% 0.37/0.64  (step @p256 :rule nary_cong :premises (@p255 @p254 @p253) :args ((or @t159 @t162 (not @t156))))
% 0.37/0.64  (step @p257 :rule cnf_and_neg :args (@t159))
% 0.37/0.64  (step @p258 :rule eq_resolve :premises (@p257 @p256))
% 0.37/0.64  (step @p259 :rule reordering :premises (@p258) :args ((or @t155 @t159 @t162)))
% 0.37/0.64  (step @p260 :rule chain_m_resolution :premises (@p259 @p252 @p250 @p249 @p247 @p246 @p244 @p156 @p146 @p144 @p121) :args (@t128 (@list false false true false true true false true true false) (@list @t158 @t161 @t159 @t160 @t155 @t153 @t157 @t126 @t120 @t129)))
% 0.37/0.64  (step @p261 :rule cnf_or_pos :args (@t114))
% 0.37/0.64  (step @p262 :rule reordering :premises (@p261) :args ((or @t109 @t113 (not @t114))))
% 0.37/0.64  (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p111) :args (@t113 @t137 (@list @t109 @t114)))
% 0.37/0.64  (step @p264 :rule bool-double-not-elim :args (@t163))
% 0.37/0.64  (step @p265 :rule refl :args (@t164))
% 0.37/0.64  (step @p266 :rule nary_cong :premises (@p125 @p265 @p264) :args ((or @t101 @t164 (not @t165))))
% 0.37/0.64  (assume-push @p299 @t96)
% 0.37/0.64  (assume-push @p300 @t113)
% 0.37/0.64  (assume-push @p301 @t165)
% 0.37/0.64  (step @p130 :rule evaluate :args (@t123))
% 0.37/0.64  (step @p131 :rule true_intro :premises (@p83))
% 0.37/0.64  (step @p270 :rule symm :premises (@p300))
% 0.37/0.64  (step @p271 :rule cong :premises (@p270) :args (@t163))
% 0.37/0.64  (step @p272 :rule false_intro :premises (@p87))
% 0.37/0.64  (step @p273 :rule symm :premises (@p272))
% 0.37/0.64  (step @p274 :rule trans :premises (@p273 @p271 @p131))
% 0.37/0.64  (step @p275 false :rule eq_resolve :premises (@p274 @p130))
% 0.37/0.64  (step-pop @p302 :rule scope :premises (@p275))
% 0.37/0.64  (step-pop @p303 :rule scope :premises (@p302))
% 0.37/0.64  (step-pop @p304 :rule scope :premises (@p303))
% 0.37/0.64  (step @p276 :rule process_scope :premises (@p304) :args (false))
% 0.37/0.64  (step @p280 :rule not_and :premises (@p276))
% 0.37/0.64  (step @p281 :rule eq_resolve :premises (@p280 @p266))
% 0.37/0.64  (step @p282 false :rule chain_m_resolution :premises (@p281 @p263 @p87 @p83) :args (false (@list false true false) (@list @t113 @t163 @t96)))
% 0.37/0.64  )
% 0.37/0.64  % SZS output end Proof
% 0.37/0.65  % cvc5 exiting
%------------------------------------------------------------------------------