0.12/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.14/0.34	% Computer : n031.cluster.edu
0.14/0.34	% Model    : x86_64 x86_64
0.14/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory   : 8042.1875MB
0.14/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit : 1920
0.14/0.34	% WCLimit  : 240
0.14/0.34	% DateTime : Sat Sep  6 01:10:22 EDT 2025
0.14/0.34	% CPUTime  : 
0.20/0.50	%----Proving TH0
137.50/137.75	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
137.50/137.75	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s...
137.50/137.75	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s...
137.50/137.75	--- Run --ho-elim --full-saturate-quant at 14s...
137.50/137.75	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
137.50/137.75	% SZS status Theorem
137.50/137.75	% SZS output start Proof
137.50/137.75	(
137.50/137.75	(declare-type $$unsorted ())
137.50/137.75	(declare-const tptp.equal_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.domain_THFTYPE_IiiioI (-> $$unsorted $$unsorted $$unsorted Bool))
137.50/137.75	(declare-const tptp.n1_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.subclass_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
137.50/137.75	(declare-const tptp.subrelation_THFTYPE_IIioIIioIoI (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))
137.50/137.75	(declare-const tptp.attribute_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.lBill_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
137.50/137.75	(declare-const tptp.lSue_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.instance_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
137.50/137.75	(declare-const tptp.range_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
137.50/137.75	(declare-const tptp.instance_THFTYPE_IIiioIioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool))
137.50/137.75	(declare-const tptp.lAsymmetricRelation_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool))
137.50/137.75	(declare-const tptp.lOrganism_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.instance_THFTYPE_IIiooIioI (-> (-> $$unsorted Bool Bool) $$unsorted Bool))
137.50/137.75	(declare-const tptp.n2_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.lAnna_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.lMary_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
137.50/137.75	(declare-const tptp.lBen_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.lBob_THFTYPE_i $$unsorted)
137.50/137.75	(declare-const tptp.domain_THFTYPE_IIiioIiioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
137.50/137.75	(declare-const tptp.subrelation_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
137.50/137.75	(declare-const tptp.lBinaryPredicate_THFTYPE_i $$unsorted)
137.50/137.75	(define @t1 () (_ tptp.instance_THFTYPE_IIiooIioI tptp.holdsDuring_THFTYPE_IiooI))
137.50/137.75	(define @t2 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i))
137.50/137.75	(define @t3 () (_ @t2 tptp.lAnna_THFTYPE_i))
137.50/137.75	(define @t4 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i))
137.50/137.75	(define @t5 () (not (_ @t4 tptp.lAnna_THFTYPE_i)))
137.50/137.75	(define @t6 () (_ tptp.domain_THFTYPE_IIiioIiioI tptp.parent_THFTYPE_IiioI))
137.50/137.75	(define @t7 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.range_THFTYPE_IiioI))
137.50/137.75	(define @t8 () (@var "PARENT" $$unsorted))
137.50/137.75	(define @t9 () (@var "ORGANISM" $$unsorted))
137.50/137.75	(define @t10 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
137.50/137.75	(define @t11 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.parent_THFTYPE_IiioI))
137.50/137.75	(define @t12 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))
137.50/137.75	(define @t13 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
137.50/137.75	(define @t14 () (@var "CLASS2" $$unsorted))
137.50/137.75	(define @t15 () (@var "THING" $$unsorted))
137.50/137.75	(define @t16 () (_ tptp.instance_THFTYPE_IiioI @t15))
137.50/137.75	(define @t17 () (@var "CLASS1" $$unsorted))
137.50/137.75	(define @t18 () (@var "ROW" $$unsorted))
137.50/137.75	(define @t19 () (@var "REL2" (-> $$unsorted Bool)))
137.50/137.75	(define @t20 () (@var "REL1" (-> $$unsorted Bool)))
137.50/137.75	(define @t21 () (_ (_ tptp.subclass_THFTYPE_IiioI @t17) @t14))
137.50/137.75	(define @t22 () (_ (_ tptp.subclass_THFTYPE_IiioI @t14) @t17))
137.50/137.75	(define @t23 () (@var "REL" $$unsorted))
137.50/137.75	(define @t24 () (_ tptp.range_THFTYPE_IiioI @t23))
137.50/137.75	(define @t25 () (@var "Y" $$unsorted))
137.50/137.75	(define @t26 () (@var "Z" $$unsorted))
137.50/137.75	(define @t27 () (_ tptp.instance_THFTYPE_IiioI @t26))
137.50/137.75	(define @t28 () (@var "X" $$unsorted))
137.50/137.75	(define @t29 () (@var "CLASS" $$unsorted))
137.50/137.75	(define @t30 () (@var "CHILD" $$unsorted))
137.50/137.75	(define @t31 () (@var "NUMBER" $$unsorted))
137.50/137.75	(define @t32 () (@var "PRED1" $$unsorted))
137.50/137.75	(define @t33 () (@var "PRED2" $$unsorted))
137.50/137.75	(define @t34 () (_ (_ tptp.domain_THFTYPE_IiiioI @t23) @t31))
137.50/137.75	(define @t35 () (@var "REL1" $$unsorted))
137.50/137.75	(define @t36 () (@var "REL2" $$unsorted))
137.50/137.75	(define @t37 () (@var "R" (-> $$unsorted $$unsorted Bool)))
137.50/137.75	(define @t38 () (_ (_ @t37 @t25) tptp.lBill_THFTYPE_i))
137.50/137.75	(define @t39 () (@var "Q" (-> $$unsorted $$unsorted Bool)))
137.50/137.75	(define @t40 () (not (= @t37 @t39)))
137.50/137.75	(define @t41 () (_ (_ @t39 @t25) tptp.lAnna_THFTYPE_i))
137.50/137.75	(define @t42 () (and @t41 @t40 @t38))
137.50/137.75	(define @t43 () (@list @t39 @t37 @t25))
137.50/137.75	(define @t44 () (exists @t43 @t42))
137.50/137.75	(define @t45 () (not @t44))
137.50/137.75	(define @t46 () (@var "SITUATION" Bool))
137.50/137.75	(define @t47 () (@var "TIME" $$unsorted))
137.50/137.75	(define @t48 () (_ tptp.holdsDuring_THFTYPE_IiooI @t47))
137.50/137.75	(define @t49 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
137.50/137.75	(define @t50 () (@var "THING2" $$unsorted))
137.50/137.75	(define @t51 () (@var "THING1" $$unsorted))
137.50/137.75	(define @t52 () (@var "ii" $$unsorted))
137.50/137.75	(define @t53 () (@var "u" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
137.50/137.75	(define @t54 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))))
137.50/137.75	(define @t55 () (@var "e" (@ho-elim-sort (-> $$unsorted Bool))))
137.50/137.75	(define @t56 () (@var "i" $$unsorted))
137.50/137.75	(define @t57 () (@var "v" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
137.50/137.75	(define @t58 () (_ @t54 @t57 @t52))
137.50/137.75	(define @t59 () (@list @t52))
137.50/137.75	(define @t60 () (@list @t57))
137.50/137.75	(define @t61 () (@const 1 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
137.50/137.75	(define @t62 () (_ @t54 @t61 tptp.lBob_THFTYPE_i))
137.50/137.75	(define @t63 () (_ @t54 @t61 @t52))
137.50/137.75	(define @t64 () (= tptp.lAsymmetricRelation_THFTYPE_i @t52))
137.50/137.75	(define @t65 () (ite @t64 @t62 @t63))
137.50/137.75	(define @t66 () (forall @t60 (not (forall @t59 (= @t58 @t65)))))
137.50/137.75	(define @t67 () (@quantifiers_skolemize @t66 0))
137.50/137.75	(define @t68 () (_ @t54 @t67 @t52))
137.50/137.75	(define @t69 () (forall @t59 (= @t65 @t68)))
137.50/137.75	(define @t70 () (not @t66))
137.50/137.75	(define @t71 () (forall @t59 (= @t68 @t65)))
137.50/137.75	(define @t72 () (not (not @t71)))
137.50/137.75	(define @t73 () (@list true))
137.50/137.75	(define @t74 () (_ @t54 @t67 tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(define @t75 () (_ @t54 @t61 tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(define @t76 () (= tptp.lAsymmetricRelation_THFTYPE_i tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(define @t77 () (ite @t76 @t62 @t75))
137.50/137.75	(define @t78 () (= @t77 @t74))
137.50/137.75	(define @t79 () (@list tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(define @t80 () (@list false))
137.50/137.75	(define @t81 () (_ @t54 @t61 tptp.lMary_THFTYPE_i))
137.50/137.75	(define @t82 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
137.50/137.75	(define @t83 () (_ @t82 @t81 tptp.lAnna_THFTYPE_i))
137.50/137.75	(define @t84 () (_ @t82 @t62 tptp.lAnna_THFTYPE_i))
137.50/137.75	(define @t85 () (not @t84))
137.50/137.75	(define @t86 () (= @t81 @t62))
137.50/137.75	(define @t87 () (not @t86))
137.50/137.75	(define @t88 () (not @t83))
137.50/137.75	(define @t89 () (@var "BOUND_VARIABLE_7916" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
137.50/137.75	(define @t90 () (not (_ @t82 (_ @t54 @t89 @t25) tptp.lBill_THFTYPE_i)))
137.50/137.75	(define @t91 () (@var "BOUND_VARIABLE_7920" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
137.50/137.75	(define @t92 () (not (_ @t82 (_ @t54 @t91 @t25) tptp.lAnna_THFTYPE_i)))
137.50/137.75	(define @t93 () (or @t92 (= @t91 @t89) @t90))
137.50/137.75	(define @t94 () (@list @t91 @t89 @t25))
137.50/137.75	(define @t95 () (forall @t94 @t93))
137.50/137.75	(define @t96 () (_ @t37 @t25 tptp.lBill_THFTYPE_i))
137.50/137.75	(define @t97 () (= @t39 @t37))
137.50/137.75	(define @t98 () (_ @t39 @t25 tptp.lAnna_THFTYPE_i))
137.50/137.75	(define @t99 () (forall @t43 (or (not @t98) @t97 (not @t96))))
137.50/137.75	(define @t100 () (= @t99 @t95))
137.50/137.75	(define @t101 () (= @t38 @t96))
137.50/137.75	(define @t102 () (not @t38))
137.50/137.75	(define @t103 () (= @t41 @t98))
137.50/137.75	(define @t104 () (not @t41))
137.50/137.75	(define @t105 () (or @t104 @t97 @t102))
137.50/137.75	(define @t106 () (forall @t43 @t105))
137.50/137.75	(define @t107 () (not @t97))
137.50/137.75	(define @t108 () (not @t107))
137.50/137.75	(define @t109 () (or @t104 @t108 @t102))
137.50/137.75	(define @t110 () (= (or @t104 (or @t108 @t102)) @t109))
137.50/137.75	(define @t111 () (or @t104 (not (and @t107 @t38))))
137.50/137.75	(define @t112 () (and @t41 @t107 @t38))
137.50/137.75	(define @t113 () (forall @t43 (not @t112)))
137.50/137.75	(define @t114 () (not @t113))
137.50/137.75	(define @t115 () (= (exists @t43 @t112) @t114))
137.50/137.75	(define @t116 () (_ @t82 @t74 tptp.lBill_THFTYPE_i))
137.50/137.75	(define @t117 () (not @t116))
137.50/137.75	(define @t118 () (ite @t64 @t81 @t63))
137.50/137.75	(define @t119 () (forall @t60 (not (forall @t59 (= @t58 @t118)))))
137.50/137.75	(define @t120 () (@quantifiers_skolemize @t119 0))
137.50/137.75	(define @t121 () (_ @t54 @t120 tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(define @t122 () (_ @t82 @t121 tptp.lAnna_THFTYPE_i))
137.50/137.75	(define @t123 () (not @t122))
137.50/137.75	(define @t124 () (or @t123 (= @t67 @t120) @t117))
137.50/137.75	(define @t125 () (forall @t94 (or @t92 (= @t89 @t91) @t90)))
137.50/137.75	(define @t126 () (=> @t125 @t124))
137.50/137.75	(define @t127 () (@list @t120 @t67 tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(define @t128 () (@list @t125))
137.50/137.75	(define @t129 () (@list @t61 @t81 tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(define @t130 () (_ @t54 @t120 @t52))
137.50/137.75	(define @t131 () (forall @t59 (= @t118 @t130)))
137.50/137.75	(define @t132 () (not @t119))
137.50/137.75	(define @t133 () (or (not @t132) @t131))
137.50/137.75	(define @t134 () (forall @t59 (= @t130 @t118)))
137.50/137.75	(define @t135 () (not (not @t134)))
137.50/137.75	(define @t136 () (=> @t132 @t135))
137.50/137.75	(define @t137 () (@list @t119))
137.50/137.75	(define @t138 () (ite @t76 @t81 @t75))
137.50/137.75	(define @t139 () (= @t138 @t121))
137.50/137.75	(define @t140 () (=> @t131 @t139))
137.50/137.75	(define @t141 () (@list @t131))
137.50/137.75	(define @t142 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
137.50/137.75	(define @t143 () (= @t12 (_ @t82 (_ @t54 @t142 tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)))
137.50/137.75	(define @t144 () (_ @t82 (_ @t54 @t142 tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
137.50/137.75	(define @t145 () (not @t144))
137.50/137.75	(define @t146 () (or @t88 (= @t142 @t61) @t145))
137.50/137.75	(define @t147 () (=> @t125 @t146))
137.50/137.75	(define @t148 () (@list @t61 @t142 tptp.lMary_THFTYPE_i))
137.50/137.75	(define @t149 () (= @t49 @t144))
137.50/137.75	(define @t150 () (= @t61 @t142))
137.50/137.75	(define @t151 () (or @t88 @t150 @t145))
137.50/137.75	(define @t152 () (or @t88 @t145 @t150 (not @t151)))
137.50/137.75	(define @t153 () (@list false false false))
137.50/137.75	(define @t154 () (@list @t83 @t144 @t151))
137.50/137.75	(define @t155 () (= @t120 @t67))
137.50/137.75	(define @t156 () (or @t123 @t155 @t117))
137.50/137.75	(define @t157 () (or @t155 @t117 @t123 (not @t156)))
137.50/137.75	(define @t158 () (@list @t116 @t122 @t156))
137.50/137.75	(define @t159 () (and @t83 @t86 @t85))
137.50/137.75	(define @t160 () (= @t62 @t74))
137.50/137.75	(define @t161 () (= @t81 @t121))
137.50/137.75	(define @t162 () (and @t160 @t155 @t161))
137.50/137.75	(assume @p1 (_ @t1 tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(assume @p2 @t3)
137.50/137.75	(assume @p3 (not (_ @t4 tptp.lBen_THFTYPE_i)))
137.50/137.75	(assume @p4 @t5)
137.50/137.75	(assume @p5 (_ (_ @t6 tptp.n2_THFTYPE_i) tptp.lOrganism_THFTYPE_i))
137.50/137.75	(assume @p6 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subrelation_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i))
137.50/137.75	(assume @p7 (_ @t7 tptp.lBinaryPredicate_THFTYPE_i))
137.50/137.75	(assume @p8 (forall (@list @t9) (=> (_ (_ tptp.instance_THFTYPE_IiioI @t9) tptp.lOrganism_THFTYPE_i) (exists (@list @t8) (_ (_ tptp.parent_THFTYPE_IiioI @t9) @t8)))))
137.50/137.75	(assume @p9 (not (_ @t10 tptp.lMary_THFTYPE_i)))
137.50/137.75	(assume @p10 (_ @t11 tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(assume @p11 @t12)
137.50/137.75	(assume @p12 (_ @t13 tptp.lAnna_THFTYPE_i))
137.50/137.75	(assume @p13 (forall (@list @t17 @t14) (=> (= @t17 @t14) (forall (@list @t15) (= (_ @t16 @t17) (_ @t16 @t14))))))
137.50/137.75	(assume @p14 (_ @t10 tptp.lBill_THFTYPE_i))
137.50/137.75	(assume @p15 (_ (_ tptp.instance_THFTYPE_IiioI tptp.attribute_THFTYPE_i) tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(assume @p16 (forall (@list @t19 @t18 @t20) (=> (and (_ @t20 @t18) (_ (_ tptp.subrelation_THFTYPE_IIioIIioIoI @t20) @t19)) (_ @t19 @t18))))
137.50/137.75	(assume @p17 (forall (@list @t17 @t23 @t14) (=> (and (_ @t24 @t14) (_ @t24 @t17)) (or @t22 @t21))))
137.50/137.75	(assume @p18 (forall (@list @t28 @t25 @t26) (=> (and (_ @t27 @t28) (_ (_ tptp.subclass_THFTYPE_IiioI @t28) @t25)) (_ @t27 @t25))))
137.50/137.75	(assume @p19 (forall (@list @t29 @t30 @t8) (=> (and (_ (_ tptp.subclass_THFTYPE_IiioI @t29) tptp.lOrganism_THFTYPE_i) (_ (_ tptp.instance_THFTYPE_IiioI @t8) @t29) (_ (_ tptp.parent_THFTYPE_IiioI @t30) @t8)) (_ (_ tptp.instance_THFTYPE_IiioI @t30) @t29))))
137.50/137.75	(assume @p20 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subclass_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i))
137.50/137.75	(assume @p21 (_ @t7 tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(assume @p22 (_ (_ @t6 tptp.n1_THFTYPE_i) tptp.lOrganism_THFTYPE_i))
137.50/137.75	(assume @p23 (_ @t13 tptp.lBen_THFTYPE_i))
137.50/137.75	(assume @p24 (forall (@list @t31 @t32 @t17 @t33) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t32) @t33) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t33) @t31) @t17)) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t32) @t31) @t17))))
137.50/137.75	(assume @p25 (forall (@list @t31 @t17 @t23 @t14) (=> (and (_ @t34 @t14) (_ @t34 @t17)) (or @t21 @t22))))
137.50/137.75	(assume @p26 (forall (@list @t36 @t17 @t35) (=> (and (_ (_ tptp.range_THFTYPE_IiioI @t36) @t17) (_ (_ tptp.subrelation_THFTYPE_IiioI @t35) @t36)) (_ (_ tptp.range_THFTYPE_IiioI @t35) @t17))))
137.50/137.75	(assume @p27 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.instance_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i))
137.50/137.75	(assume @p28 (_ @t1 tptp.lBinaryPredicate_THFTYPE_i))
137.50/137.75	(assume @p29 (_ @t2 tptp.lBen_THFTYPE_i))
137.50/137.75	(assume @p30 @t45)
137.50/137.75	(assume @p31 (_ @t11 tptp.lBinaryPredicate_THFTYPE_i))
137.50/137.75	(assume @p32 (_ (_ tptp.instance_THFTYPE_IiioI tptp.equal_THFTYPE_i) tptp.lBinaryPredicate_THFTYPE_i))
137.50/137.75	(assume @p33 (forall (@list @t47 @t46) (=> (_ @t48 (not @t46)) (not (_ @t48 @t46)))))
137.50/137.75	(assume @p34 @t49)
137.50/137.75	(assume @p35 (forall (@list @t50 @t51) (=> (= @t51 @t50) (forall (@list @t29) (= (_ (_ tptp.instance_THFTYPE_IiioI @t51) @t29) (_ (_ tptp.instance_THFTYPE_IiioI @t50) @t29))))))
137.50/137.75	(assume @p36 true)
137.50/137.75	; WARNING: add trust step for TRUST
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM_LEMMA
137.50/137.75	(step @p37 :rule trust :premises () :args ((forall (@list @t53 @t55 @t56) (not (forall @t60 (not (forall @t59 (= @t58 (ite (= @t56 @t52) @t55 (_ @t54 @t53 @t52))))))))))
137.50/137.75	(step @p38 :rule instantiate :premises (@p37) :args ((@list @t61 @t62 tptp.lAsymmetricRelation_THFTYPE_i)))
137.50/137.75	(step @p39 :rule refl :args (@t69))
137.50/137.75	(step @p40 :rule bool-double-not-elim :args (@t66))
137.50/137.75	(step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t70) @t69)))
137.50/137.75	(step @p42 :rule eq-symm :args (@t68 @t65))
137.50/137.75	(step @p43 :rule cong :premises (@p42) :args (@t71))
137.50/137.75	(step @p44 :rule bool-double-not-elim :args (@t71))
137.50/137.75	(step @p45 :rule trans :premises (@p44 @p43))
137.50/137.75	(step @p46 :rule refl :args (@t70))
137.50/137.75	(step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t70 @t72)))
137.50/137.75	(assume-push @p273 @t70)
137.50/137.75	(step @p49 :rule skolemize :premises (@p38))
137.50/137.75	(step-pop @p273 :rule scope :premises (@p49))
137.50/137.75	(step @p50 :rule process_scope :premises (@p273) :args (@t72))
137.50/137.75	(step @p52 :rule eq_resolve :premises (@p50 @p47))
137.50/137.75	(step @p53 :rule implies_elim :premises (@p52))
137.50/137.75	(step @p54 :rule eq_resolve :premises (@p53 @p41))
137.50/137.75	(step @p55 :rule chain_resolution :premises (@p54 @p38) :args (@t73 (@list @t66)))
137.50/137.75	(step @p56 :rule refl :args (@t74))
137.50/137.75	(step @p57 :rule ite-true-cond :args (@t62 @t75))
137.50/137.75	(step @p58 :rule refl :args (@t75))
137.50/137.75	(step @p59 :rule refl :args (@t62))
137.50/137.75	(step @p60 :rule eq-refl :args (tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(step @p61 :rule cong :premises (@p60 @p59 @p58) :args (@t77))
137.50/137.75	(step @p62 :rule trans :premises (@p61 @p57))
137.50/137.75	(step @p63 :rule cong :premises (@p62 @p56) :args (@t78))
137.50/137.75	(step @p64 :rule cong :premises (@p39 @p63) :args ((=> @t69 @t78)))
137.50/137.75	(assume-push @p275 @t69)
137.50/137.75	(step @p66 :rule instantiate :premises (@p55) :args (@t79))
137.50/137.75	(step-pop @p275 :rule scope :premises (@p66))
137.50/137.75	(step @p67 :rule process_scope :premises (@p275) :args (@t78))
137.50/137.75	(step @p69 :rule eq_resolve :premises (@p67 @p64))
137.50/137.75	(step @p70 :rule implies_elim :premises (@p69))
137.50/137.75	(step @p71 :rule chain_resolution :premises (@p70 @p55) :args (@t80 (@list @t69)))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p72 :rule trust :premises () :args ((= @t3 @t83)))
137.50/137.75	(step @p73 :rule eq_resolve :premises (@p2 @p72))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p74 :rule trust :premises () :args ((= @t5 @t85)))
137.50/137.75	(step @p75 :rule eq_resolve :premises (@p4 @p74))
137.50/137.75	(step @p76 :rule refl :args (@t87))
137.50/137.75	(step @p77 :rule bool-double-not-elim :args (@t84))
137.50/137.75	(step @p78 :rule refl :args (@t88))
137.50/137.75	(step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args ((or @t88 (not @t85) @t87)))
137.50/137.75	(assume-push @p277 @t83)
137.50/137.75	(assume-push @p278 @t86)
137.50/137.75	(assume-push @p279 @t85)
137.50/137.75	(step @p83 :rule evaluate :args ((= false true)))
137.50/137.75	(step @p84 :rule true_intro :premises (@p73))
137.50/137.75	(step @p85 :rule refl :args (tptp.lAnna_THFTYPE_i))
137.50/137.75	(step @p86 :rule symm :premises (@p71))
137.50/137.75	(step @p87 :rule refl :args (tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(step @p88 :rule refl :args (@t90))
137.50/137.75	(step @p89 :rule eq-symm :args (@t91 @t89))
137.50/137.75	(step @p90 :rule refl :args (@t92))
137.50/137.75	(step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t93))
137.50/137.75	(step @p92 :rule cong :premises (@p91) :args (@t95))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p93 :rule trust :premises () :args (@t100))
137.50/137.75	(step @p94 :rule bool-double-not-elim :args (@t99))
137.50/137.75	(step @p95 :rule refl :args (@t96))
137.50/137.75	(step @p96 :rule refl :args (@t38))
137.50/137.75	(step @p97 :rule cong :premises (@p96 @p95) :args (@t101))
137.50/137.75	(step @p98 :rule symm :premises (@p97))
137.50/137.75	(step @p99 :rule eq_resolve :premises (@p96 @p98))
137.50/137.75	(step @p100 :rule cong :premises (@p99) :args (@t102))
137.50/137.75	(step @p101 :rule refl :args (@t97))
137.50/137.75	(step @p102 :rule refl :args (@t98))
137.50/137.75	(step @p103 :rule refl :args (@t41))
137.50/137.75	(step @p104 :rule cong :premises (@p103 @p102) :args (@t103))
137.50/137.75	(step @p105 :rule symm :premises (@p104))
137.50/137.75	(step @p106 :rule eq_resolve :premises (@p103 @p105))
137.50/137.75	(step @p107 :rule cong :premises (@p106) :args (@t104))
137.50/137.75	(step @p108 :rule nary_cong :premises (@p107 @p101 @p100) :args (@t105))
137.50/137.75	(step @p109 :rule cong :premises (@p108) :args (@t106))
137.50/137.75	(step @p110 :rule refl :args (@t102))
137.50/137.75	(step @p111 :rule bool-double-not-elim :args (@t97))
137.50/137.75	(step @p112 :rule refl :args (@t104))
137.50/137.75	(step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t109))
137.50/137.75	(step @p114 :rule aci_norm :args (@t110))
137.50/137.75	(step @p115 :rule trans :premises (@p114 @p113))
137.50/137.75	(step @p116 :rule bool-and-de-morgan :args (@t107 @t38 true))
137.50/137.75	(step @p117 :rule nary_cong :premises (@p112 @p116) :args (@t111))
137.50/137.75	(step @p118 :rule bool-and-de-morgan :args (@t41 @t107 (and @t38)))
137.50/137.75	(step @p119 :rule trans :premises (@p118 @p117))
137.50/137.75	(step @p120 :rule trans :premises (@p119 @p115))
137.50/137.75	(step @p121 :rule cong :premises (@p120) :args (@t113))
137.50/137.75	(step @p122 :rule trans :premises (@p121 @p109))
137.50/137.75	(step @p123 :rule cong :premises (@p122) :args (@t114))
137.50/137.75	(step @p124 :rule exists-elim :args (@t115))
137.50/137.75	(step @p125 :rule trans :premises (@p124 @p123))
137.50/137.75	(step @p126 :rule refl :args (@t38))
137.50/137.75	(step @p127 :rule eq-symm :args (@t37 @t39))
137.50/137.75	(step @p128 :rule cong :premises (@p127) :args (@t40))
137.50/137.75	(step @p129 :rule refl :args (@t41))
137.50/137.75	(step @p130 :rule nary_cong :premises (@p129 @p128 @p126) :args (@t42))
137.50/137.75	(step @p131 :rule cong :premises (@p130) :args (@t44))
137.50/137.75	(step @p132 :rule trans :premises (@p131 @p125))
137.50/137.75	(step @p133 :rule cong :premises (@p132) :args (@t45))
137.50/137.75	(step @p134 :rule trans :premises (@p133 @p94))
137.50/137.75	(step @p135 :rule trans :premises (@p134 @p93 @p92))
137.50/137.75	(step @p136 :rule eq_resolve :premises (@p30 @p135))
137.50/137.75	(step @p137 :rule refl :args (@t117))
137.50/137.75	(step @p138 :rule eq-symm :args (@t67 @t120))
137.50/137.75	(step @p139 :rule refl :args (@t123))
137.50/137.75	(step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t124))
137.50/137.75	(step @p141 :rule refl :args (@t125))
137.50/137.75	(step @p142 :rule cong :premises (@p141 @p140) :args (@t126))
137.50/137.75	(assume-push @p280 @t125)
137.50/137.75	(step @p144 :rule instantiate :premises (@p136) :args (@t127))
137.50/137.75	(step-pop @p280 :rule scope :premises (@p144))
137.50/137.75	(step @p145 :rule process_scope :premises (@p280) :args (@t124))
137.50/137.75	(step @p147 :rule eq_resolve :premises (@p145 @p142))
137.50/137.75	(step @p148 :rule implies_elim :premises (@p147))
137.50/137.75	(step @p149 :rule chain_resolution :premises (@p148 @p136) :args (@t80 @t128))
137.50/137.75	(step @p150 :rule instantiate :premises (@p37) :args (@t129))
137.50/137.75	(step @p151 :rule refl :args (@t131))
137.50/137.75	(step @p152 :rule bool-double-not-elim :args (@t119))
137.50/137.75	(step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t133))
137.50/137.75	(step @p154 :rule eq-symm :args (@t130 @t118))
137.50/137.75	(step @p155 :rule cong :premises (@p154) :args (@t134))
137.50/137.75	(step @p156 :rule bool-double-not-elim :args (@t134))
137.50/137.75	(step @p157 :rule trans :premises (@p156 @p155))
137.50/137.75	(step @p158 :rule refl :args (@t132))
137.50/137.75	(step @p159 :rule cong :premises (@p158 @p157) :args (@t136))
137.50/137.75	(assume-push @p282 @t132)
137.50/137.75	(step @p161 :rule skolemize :premises (@p150))
137.50/137.75	(step-pop @p282 :rule scope :premises (@p161))
137.50/137.75	(step @p162 :rule process_scope :premises (@p282) :args (@t135))
137.50/137.75	(step @p164 :rule eq_resolve :premises (@p162 @p159))
137.50/137.75	(step @p165 :rule implies_elim :premises (@p164))
137.50/137.75	(step @p166 :rule eq_resolve :premises (@p165 @p153))
137.50/137.75	(step @p167 :rule chain_resolution :premises (@p166 @p150) :args (@t73 @t137))
137.50/137.75	(step @p168 :rule refl :args (@t121))
137.50/137.75	(step @p169 :rule ite-true-cond :args (@t81 @t75))
137.50/137.75	(step @p170 :rule refl :args (@t81))
137.50/137.75	(step @p171 :rule cong :premises (@p60 @p170 @p58) :args (@t138))
137.50/137.75	(step @p172 :rule trans :premises (@p171 @p169))
137.50/137.75	(step @p173 :rule cong :premises (@p172 @p168) :args (@t139))
137.50/137.75	(step @p174 :rule cong :premises (@p151 @p173) :args (@t140))
137.50/137.75	(assume-push @p284 @t131)
137.50/137.75	(step @p176 :rule instantiate :premises (@p167) :args (@t79))
137.50/137.75	(step-pop @p284 :rule scope :premises (@p176))
137.50/137.75	(step @p177 :rule process_scope :premises (@p284) :args (@t139))
137.50/137.75	(step @p179 :rule eq_resolve :premises (@p177 @p174))
137.50/137.75	(step @p180 :rule implies_elim :premises (@p179))
137.50/137.75	(step @p181 :rule chain_resolution :premises (@p180 @p167) :args (@t80 @t141))
137.50/137.75	(step @p182 :rule symm :premises (@p181))
137.50/137.75	(step @p183 :rule cong :premises (@p182 @p85) :args (@t122))
137.50/137.75	(step @p184 :rule trans :premises (@p183 @p84))
137.50/137.75	(step @p185 :rule true_elim :premises (@p184))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p186 :rule trust :premises () :args (@t143))
137.50/137.75	(step @p187 :rule eq_resolve :premises (@p11 @p186))
137.50/137.75	(step @p188 :rule true_intro :premises (@p187))
137.50/137.75	(step @p189 :rule refl :args (tptp.lBill_THFTYPE_i))
137.50/137.75	(step @p190 :rule refl :args (tptp.lBob_THFTYPE_i))
137.50/137.75	(step @p191 :rule refl :args (@t145))
137.50/137.75	(step @p192 :rule eq-symm :args (@t142 @t61))
137.50/137.75	(step @p193 :rule nary_cong :premises (@p78 @p192 @p191) :args (@t146))
137.50/137.75	(step @p194 :rule cong :premises (@p141 @p193) :args (@t147))
137.50/137.75	(assume-push @p286 @t125)
137.50/137.75	(step @p196 :rule instantiate :premises (@p136) :args (@t148))
137.50/137.75	(step-pop @p286 :rule scope :premises (@p196))
137.50/137.75	(step @p197 :rule process_scope :premises (@p286) :args (@t146))
137.50/137.75	(step @p199 :rule eq_resolve :premises (@p197 @p194))
137.50/137.75	(step @p200 :rule implies_elim :premises (@p199))
137.50/137.75	(step @p201 :rule chain_resolution :premises (@p200 @p136) :args (@t80 @t128))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p202 :rule trust :premises () :args (@t149))
137.50/137.75	(step @p203 :rule eq_resolve :premises (@p34 @p202))
137.50/137.75	(step @p204 :rule cnf_or_pos :args (@t151))
137.50/137.75	(step @p205 :rule reordering :premises (@p204) :args (@t152))
137.50/137.75	(step @p206 :rule chain_resolution :premises (@p205 @p73 @p203 @p201) :args (@t153 @t154))
137.50/137.75	(step @p207 :rule cong :premises (@p206 @p190) :args (@t62))
137.50/137.75	(step @p208 :rule symm :premises (@p71))
137.50/137.75	(step @p209 :rule trans :premises (@p208 @p207))
137.50/137.75	(step @p210 :rule cong :premises (@p209 @p189) :args (@t116))
137.50/137.75	(step @p211 :rule trans :premises (@p210 @p188))
137.50/137.75	(step @p212 :rule true_elim :premises (@p211))
137.50/137.75	(step @p213 :rule cnf_or_pos :args (@t156))
137.50/137.75	(step @p214 :rule reordering :premises (@p213) :args (@t157))
137.50/137.75	(step @p215 :rule chain_resolution :premises (@p214 @p212 @p185 @p149) :args (@t153 @t158))
137.50/137.75	(step @p216 :rule cong :premises (@p215 @p87) :args (@t121))
137.50/137.75	(step @p217 :rule chain_resolution :premises (@p180 @p167) :args (@t80 @t141))
137.50/137.75	(step @p218 :rule trans :premises (@p217 @p216 @p86))
137.50/137.75	(step @p219 :rule symm :premises (@p218))
137.50/137.75	(step @p220 :rule cong :premises (@p219 @p85) :args (@t84))
137.50/137.75	(step @p221 :rule false_intro :premises (@p75))
137.50/137.75	(step @p222 :rule symm :premises (@p221))
137.50/137.75	(step @p223 :rule trans :premises (@p222 @p220 @p84))
137.50/137.75	(step @p224 false :rule eq_resolve :premises (@p223 @p83))
137.50/137.75	(step-pop @p287 :rule scope :premises (@p224))
137.50/137.75	(step-pop @p288 :rule scope :premises (@p287))
137.50/137.75	(step-pop @p289 :rule scope :premises (@p288))
137.50/137.75	(step @p225 :rule process_scope :premises (@p289) :args (false))
137.50/137.75	(assume-push @p291 @t83)
137.50/137.75	(assume-push @p292 @t85)
137.50/137.75	(assume-push @p293 @t86)
137.50/137.75	(step @p86 :rule symm :premises (@p71))
137.50/137.75	(step @p87 :rule refl :args (tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.75	(step @p88 :rule refl :args (@t90))
137.50/137.75	(step @p89 :rule eq-symm :args (@t91 @t89))
137.50/137.75	(step @p90 :rule refl :args (@t92))
137.50/137.75	(step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t93))
137.50/137.75	(step @p92 :rule cong :premises (@p91) :args (@t95))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p93 :rule trust :premises () :args (@t100))
137.50/137.75	(step @p94 :rule bool-double-not-elim :args (@t99))
137.50/137.75	(step @p95 :rule refl :args (@t96))
137.50/137.75	(step @p96 :rule refl :args (@t38))
137.50/137.75	(step @p97 :rule cong :premises (@p96 @p95) :args (@t101))
137.50/137.75	(step @p98 :rule symm :premises (@p97))
137.50/137.75	(step @p99 :rule eq_resolve :premises (@p96 @p98))
137.50/137.75	(step @p100 :rule cong :premises (@p99) :args (@t102))
137.50/137.75	(step @p101 :rule refl :args (@t97))
137.50/137.75	(step @p102 :rule refl :args (@t98))
137.50/137.75	(step @p103 :rule refl :args (@t41))
137.50/137.75	(step @p104 :rule cong :premises (@p103 @p102) :args (@t103))
137.50/137.75	(step @p105 :rule symm :premises (@p104))
137.50/137.75	(step @p106 :rule eq_resolve :premises (@p103 @p105))
137.50/137.75	(step @p107 :rule cong :premises (@p106) :args (@t104))
137.50/137.75	(step @p108 :rule nary_cong :premises (@p107 @p101 @p100) :args (@t105))
137.50/137.75	(step @p109 :rule cong :premises (@p108) :args (@t106))
137.50/137.75	(step @p110 :rule refl :args (@t102))
137.50/137.75	(step @p111 :rule bool-double-not-elim :args (@t97))
137.50/137.75	(step @p112 :rule refl :args (@t104))
137.50/137.75	(step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t109))
137.50/137.75	(step @p114 :rule aci_norm :args (@t110))
137.50/137.75	(step @p115 :rule trans :premises (@p114 @p113))
137.50/137.75	(step @p116 :rule bool-and-de-morgan :args (@t107 @t38 true))
137.50/137.75	(step @p117 :rule nary_cong :premises (@p112 @p116) :args (@t111))
137.50/137.75	(step @p118 :rule bool-and-de-morgan :args (@t41 @t107 (and @t38)))
137.50/137.75	(step @p119 :rule trans :premises (@p118 @p117))
137.50/137.75	(step @p120 :rule trans :premises (@p119 @p115))
137.50/137.75	(step @p121 :rule cong :premises (@p120) :args (@t113))
137.50/137.75	(step @p122 :rule trans :premises (@p121 @p109))
137.50/137.75	(step @p123 :rule cong :premises (@p122) :args (@t114))
137.50/137.75	(step @p124 :rule exists-elim :args (@t115))
137.50/137.75	(step @p125 :rule trans :premises (@p124 @p123))
137.50/137.75	(step @p126 :rule refl :args (@t38))
137.50/137.75	(step @p127 :rule eq-symm :args (@t37 @t39))
137.50/137.75	(step @p128 :rule cong :premises (@p127) :args (@t40))
137.50/137.75	(step @p129 :rule refl :args (@t41))
137.50/137.75	(step @p130 :rule nary_cong :premises (@p129 @p128 @p126) :args (@t42))
137.50/137.75	(step @p131 :rule cong :premises (@p130) :args (@t44))
137.50/137.75	(step @p132 :rule trans :premises (@p131 @p125))
137.50/137.75	(step @p133 :rule cong :premises (@p132) :args (@t45))
137.50/137.75	(step @p134 :rule trans :premises (@p133 @p94))
137.50/137.75	(step @p135 :rule trans :premises (@p134 @p93 @p92))
137.50/137.75	(step @p136 :rule eq_resolve :premises (@p30 @p135))
137.50/137.75	(step @p137 :rule refl :args (@t117))
137.50/137.75	(step @p138 :rule eq-symm :args (@t67 @t120))
137.50/137.75	(step @p139 :rule refl :args (@t123))
137.50/137.75	(step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t124))
137.50/137.75	(step @p141 :rule refl :args (@t125))
137.50/137.75	(step @p142 :rule cong :premises (@p141 @p140) :args (@t126))
137.50/137.75	(assume-push @p294 @t125)
137.50/137.75	(step @p144 :rule instantiate :premises (@p136) :args (@t127))
137.50/137.75	(step-pop @p294 :rule scope :premises (@p144))
137.50/137.75	(step @p145 :rule process_scope :premises (@p294) :args (@t124))
137.50/137.75	(step @p147 :rule eq_resolve :premises (@p145 @p142))
137.50/137.75	(step @p148 :rule implies_elim :premises (@p147))
137.50/137.75	(step @p149 :rule chain_resolution :premises (@p148 @p136) :args (@t80 @t128))
137.50/137.75	(step @p84 :rule true_intro :premises (@p73))
137.50/137.75	(step @p85 :rule refl :args (tptp.lAnna_THFTYPE_i))
137.50/137.75	(step @p150 :rule instantiate :premises (@p37) :args (@t129))
137.50/137.75	(step @p151 :rule refl :args (@t131))
137.50/137.75	(step @p152 :rule bool-double-not-elim :args (@t119))
137.50/137.75	(step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t133))
137.50/137.75	(step @p154 :rule eq-symm :args (@t130 @t118))
137.50/137.75	(step @p155 :rule cong :premises (@p154) :args (@t134))
137.50/137.75	(step @p156 :rule bool-double-not-elim :args (@t134))
137.50/137.75	(step @p157 :rule trans :premises (@p156 @p155))
137.50/137.75	(step @p158 :rule refl :args (@t132))
137.50/137.75	(step @p159 :rule cong :premises (@p158 @p157) :args (@t136))
137.50/137.75	(assume-push @p296 @t132)
137.50/137.75	(step @p161 :rule skolemize :premises (@p150))
137.50/137.75	(step-pop @p296 :rule scope :premises (@p161))
137.50/137.75	(step @p162 :rule process_scope :premises (@p296) :args (@t135))
137.50/137.75	(step @p164 :rule eq_resolve :premises (@p162 @p159))
137.50/137.75	(step @p165 :rule implies_elim :premises (@p164))
137.50/137.75	(step @p166 :rule eq_resolve :premises (@p165 @p153))
137.50/137.75	(step @p167 :rule chain_resolution :premises (@p166 @p150) :args (@t73 @t137))
137.50/137.75	(step @p168 :rule refl :args (@t121))
137.50/137.75	(step @p169 :rule ite-true-cond :args (@t81 @t75))
137.50/137.75	(step @p170 :rule refl :args (@t81))
137.50/137.75	(step @p171 :rule cong :premises (@p60 @p170 @p58) :args (@t138))
137.50/137.75	(step @p172 :rule trans :premises (@p171 @p169))
137.50/137.75	(step @p173 :rule cong :premises (@p172 @p168) :args (@t139))
137.50/137.75	(step @p174 :rule cong :premises (@p151 @p173) :args (@t140))
137.50/137.75	(assume-push @p298 @t131)
137.50/137.75	(step @p176 :rule instantiate :premises (@p167) :args (@t79))
137.50/137.75	(step-pop @p298 :rule scope :premises (@p176))
137.50/137.75	(step @p177 :rule process_scope :premises (@p298) :args (@t139))
137.50/137.75	(step @p179 :rule eq_resolve :premises (@p177 @p174))
137.50/137.75	(step @p180 :rule implies_elim :premises (@p179))
137.50/137.75	(step @p181 :rule chain_resolution :premises (@p180 @p167) :args (@t80 @t141))
137.50/137.75	(step @p182 :rule symm :premises (@p181))
137.50/137.75	(step @p183 :rule cong :premises (@p182 @p85) :args (@t122))
137.50/137.75	(step @p184 :rule trans :premises (@p183 @p84))
137.50/137.75	(step @p185 :rule true_elim :premises (@p184))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p186 :rule trust :premises () :args (@t143))
137.50/137.75	(step @p187 :rule eq_resolve :premises (@p11 @p186))
137.50/137.75	(step @p188 :rule true_intro :premises (@p187))
137.50/137.75	(step @p189 :rule refl :args (tptp.lBill_THFTYPE_i))
137.50/137.75	(step @p190 :rule refl :args (tptp.lBob_THFTYPE_i))
137.50/137.75	(step @p191 :rule refl :args (@t145))
137.50/137.75	(step @p192 :rule eq-symm :args (@t142 @t61))
137.50/137.75	(step @p193 :rule nary_cong :premises (@p78 @p192 @p191) :args (@t146))
137.50/137.75	(step @p194 :rule cong :premises (@p141 @p193) :args (@t147))
137.50/137.75	(assume-push @p300 @t125)
137.50/137.75	(step @p196 :rule instantiate :premises (@p136) :args (@t148))
137.50/137.75	(step-pop @p300 :rule scope :premises (@p196))
137.50/137.75	(step @p197 :rule process_scope :premises (@p300) :args (@t146))
137.50/137.75	(step @p199 :rule eq_resolve :premises (@p197 @p194))
137.50/137.75	(step @p200 :rule implies_elim :premises (@p199))
137.50/137.75	(step @p201 :rule chain_resolution :premises (@p200 @p136) :args (@t80 @t128))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p202 :rule trust :premises () :args (@t149))
137.50/137.75	(step @p203 :rule eq_resolve :premises (@p34 @p202))
137.50/137.75	(step @p204 :rule cnf_or_pos :args (@t151))
137.50/137.75	(step @p205 :rule reordering :premises (@p204) :args (@t152))
137.50/137.75	(step @p206 :rule chain_resolution :premises (@p205 @p73 @p203 @p201) :args (@t153 @t154))
137.50/137.75	(step @p207 :rule cong :premises (@p206 @p190) :args (@t62))
137.50/137.75	(step @p208 :rule symm :premises (@p71))
137.50/137.75	(step @p209 :rule trans :premises (@p208 @p207))
137.50/137.75	(step @p210 :rule cong :premises (@p209 @p189) :args (@t116))
137.50/137.75	(step @p211 :rule trans :premises (@p210 @p188))
137.50/137.75	(step @p212 :rule true_elim :premises (@p211))
137.50/137.75	(step @p213 :rule cnf_or_pos :args (@t156))
137.50/137.75	(step @p214 :rule reordering :premises (@p213) :args (@t157))
137.50/137.75	(step @p215 :rule chain_resolution :premises (@p214 @p212 @p185 @p149) :args (@t153 @t158))
137.50/137.75	(step @p216 :rule cong :premises (@p215 @p87) :args (@t121))
137.50/137.75	(step @p217 :rule chain_resolution :premises (@p180 @p167) :args (@t80 @t141))
137.50/137.75	(step @p240 :rule trans :premises (@p217 @p216 @p86))
137.50/137.75	(step @p241 :rule and_intro :premises (@p73 @p240 @p75))
137.50/137.75	(step-pop @p301 :rule scope :premises (@p241))
137.50/137.75	(step-pop @p302 :rule scope :premises (@p301))
137.50/137.75	(step-pop @p303 :rule scope :premises (@p302))
137.50/137.75	(step @p242 :rule process_scope :premises (@p303) :args (@t159))
137.50/137.75	(step @p246 :rule implies_elim :premises (@p242))
137.50/137.75	(step @p247 :rule resolution :premises (@p246 @p225) :args (true @t159))
137.50/137.75	(step @p248 :rule not_and :premises (@p247))
137.50/137.75	(step @p249 :rule eq_resolve :premises (@p248 @p79))
137.50/137.75	(step @p250 :rule reordering :premises (@p249) :args ((or @t84 @t88 @t87)))
137.50/137.75	(step @p251 :rule chain_resolution :premises (@p250 @p75 @p73) :args ((@list true false) (@list @t84 @t83)))
137.50/137.75	(step @p150 :rule instantiate :premises (@p37) :args (@t129))
137.50/137.75	(step @p151 :rule refl :args (@t131))
137.50/137.75	(step @p152 :rule bool-double-not-elim :args (@t119))
137.50/137.75	(step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t133))
137.50/137.75	(step @p154 :rule eq-symm :args (@t130 @t118))
137.50/137.75	(step @p155 :rule cong :premises (@p154) :args (@t134))
137.50/137.75	(step @p156 :rule bool-double-not-elim :args (@t134))
137.50/137.75	(step @p157 :rule trans :premises (@p156 @p155))
137.50/137.75	(step @p158 :rule refl :args (@t132))
137.50/137.75	(step @p159 :rule cong :premises (@p158 @p157) :args (@t136))
137.50/137.75	(assume-push @p305 @t132)
137.50/137.75	(step @p161 :rule skolemize :premises (@p150))
137.50/137.75	(step-pop @p305 :rule scope :premises (@p161))
137.50/137.75	(step @p162 :rule process_scope :premises (@p305) :args (@t135))
137.50/137.75	(step @p164 :rule eq_resolve :premises (@p162 @p159))
137.50/137.75	(step @p165 :rule implies_elim :premises (@p164))
137.50/137.75	(step @p166 :rule eq_resolve :premises (@p165 @p153))
137.50/137.75	(step @p167 :rule chain_resolution :premises (@p166 @p150) :args (@t73 @t137))
137.50/137.75	(step @p168 :rule refl :args (@t121))
137.50/137.75	(step @p169 :rule ite-true-cond :args (@t81 @t75))
137.50/137.75	(step @p170 :rule refl :args (@t81))
137.50/137.75	(step @p171 :rule cong :premises (@p60 @p170 @p58) :args (@t138))
137.50/137.75	(step @p172 :rule trans :premises (@p171 @p169))
137.50/137.75	(step @p173 :rule cong :premises (@p172 @p168) :args (@t139))
137.50/137.75	(step @p174 :rule cong :premises (@p151 @p173) :args (@t140))
137.50/137.75	(assume-push @p307 @t131)
137.50/137.75	(step @p176 :rule instantiate :premises (@p167) :args (@t79))
137.50/137.75	(step-pop @p307 :rule scope :premises (@p176))
137.50/137.75	(step @p177 :rule process_scope :premises (@p307) :args (@t139))
137.50/137.75	(step @p179 :rule eq_resolve :premises (@p177 @p174))
137.50/137.75	(step @p180 :rule implies_elim :premises (@p179))
137.50/137.75	(step @p181 :rule chain_resolution :premises (@p180 @p167) :args (@t80 @t141))
137.50/137.75	(step @p88 :rule refl :args (@t90))
137.50/137.75	(step @p89 :rule eq-symm :args (@t91 @t89))
137.50/137.75	(step @p90 :rule refl :args (@t92))
137.50/137.75	(step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t93))
137.50/137.75	(step @p92 :rule cong :premises (@p91) :args (@t95))
137.50/137.75	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.75	(step @p93 :rule trust :premises () :args (@t100))
137.50/137.75	(step @p94 :rule bool-double-not-elim :args (@t99))
137.50/137.75	(step @p95 :rule refl :args (@t96))
137.50/137.75	(step @p96 :rule refl :args (@t38))
137.50/137.75	(step @p97 :rule cong :premises (@p96 @p95) :args (@t101))
137.50/137.75	(step @p98 :rule symm :premises (@p97))
137.50/137.75	(step @p99 :rule eq_resolve :premises (@p96 @p98))
137.50/137.75	(step @p100 :rule cong :premises (@p99) :args (@t102))
137.50/137.75	(step @p101 :rule refl :args (@t97))
137.50/137.75	(step @p102 :rule refl :args (@t98))
137.50/137.75	(step @p103 :rule refl :args (@t41))
137.50/137.75	(step @p104 :rule cong :premises (@p103 @p102) :args (@t103))
137.50/137.75	(step @p105 :rule symm :premises (@p104))
137.50/137.75	(step @p106 :rule eq_resolve :premises (@p103 @p105))
137.50/137.75	(step @p107 :rule cong :premises (@p106) :args (@t104))
137.50/137.75	(step @p108 :rule nary_cong :premises (@p107 @p101 @p100) :args (@t105))
137.50/137.75	(step @p109 :rule cong :premises (@p108) :args (@t106))
137.50/137.75	(step @p110 :rule refl :args (@t102))
137.50/137.75	(step @p111 :rule bool-double-not-elim :args (@t97))
137.50/137.75	(step @p112 :rule refl :args (@t104))
137.50/137.75	(step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t109))
137.50/137.75	(step @p114 :rule aci_norm :args (@t110))
137.50/137.75	(step @p115 :rule trans :premises (@p114 @p113))
137.50/137.75	(step @p116 :rule bool-and-de-morgan :args (@t107 @t38 true))
137.50/137.75	(step @p117 :rule nary_cong :premises (@p112 @p116) :args (@t111))
137.50/137.75	(step @p118 :rule bool-and-de-morgan :args (@t41 @t107 (and @t38)))
137.50/137.75	(step @p119 :rule trans :premises (@p118 @p117))
137.50/137.75	(step @p120 :rule trans :premises (@p119 @p115))
137.50/137.75	(step @p121 :rule cong :premises (@p120) :args (@t113))
137.50/137.75	(step @p122 :rule trans :premises (@p121 @p109))
137.50/137.75	(step @p123 :rule cong :premises (@p122) :args (@t114))
137.50/137.75	(step @p124 :rule exists-elim :args (@t115))
137.50/137.75	(step @p125 :rule trans :premises (@p124 @p123))
137.50/137.75	(step @p126 :rule refl :args (@t38))
137.50/137.75	(step @p127 :rule eq-symm :args (@t37 @t39))
137.50/137.75	(step @p128 :rule cong :premises (@p127) :args (@t40))
137.50/137.75	(step @p129 :rule refl :args (@t41))
137.50/137.75	(step @p130 :rule nary_cong :premises (@p129 @p128 @p126) :args (@t42))
137.50/137.75	(step @p131 :rule cong :premises (@p130) :args (@t44))
137.50/137.75	(step @p132 :rule trans :premises (@p131 @p125))
137.50/137.75	(step @p133 :rule cong :premises (@p132) :args (@t45))
137.50/137.75	(step @p134 :rule trans :premises (@p133 @p94))
137.50/137.75	(step @p135 :rule trans :premises (@p134 @p93 @p92))
137.50/137.75	(step @p136 :rule eq_resolve :premises (@p30 @p135))
137.50/137.75	(step @p137 :rule refl :args (@t117))
137.50/137.75	(step @p138 :rule eq-symm :args (@t67 @t120))
137.50/137.75	(step @p139 :rule refl :args (@t123))
137.50/137.75	(step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t124))
137.50/137.75	(step @p141 :rule refl :args (@t125))
137.50/137.75	(step @p142 :rule cong :premises (@p141 @p140) :args (@t126))
137.50/137.75	(assume-push @p309 @t125)
137.50/137.75	(step @p144 :rule instantiate :premises (@p136) :args (@t127))
137.50/137.75	(step-pop @p309 :rule scope :premises (@p144))
137.50/137.75	(step @p145 :rule process_scope :premises (@p309) :args (@t124))
137.50/137.75	(step @p147 :rule eq_resolve :premises (@p145 @p142))
137.50/137.75	(step @p148 :rule implies_elim :premises (@p147))
137.50/137.75	(step @p149 :rule chain_resolution :premises (@p148 @p136) :args (@t80 @t128))
137.50/137.75	(step @p84 :rule true_intro :premises (@p73))
137.50/137.75	(step @p85 :rule refl :args (tptp.lAnna_THFTYPE_i))
137.50/137.75	(step @p182 :rule symm :premises (@p181))
137.50/137.75	(step @p183 :rule cong :premises (@p182 @p85) :args (@t122))
137.50/137.75	(step @p184 :rule trans :premises (@p183 @p84))
137.50/137.76	(step @p185 :rule true_elim :premises (@p184))
137.50/137.76	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.76	(step @p186 :rule trust :premises () :args (@t143))
137.50/137.76	(step @p187 :rule eq_resolve :premises (@p11 @p186))
137.50/137.76	(step @p188 :rule true_intro :premises (@p187))
137.50/137.76	(step @p189 :rule refl :args (tptp.lBill_THFTYPE_i))
137.50/137.76	(step @p190 :rule refl :args (tptp.lBob_THFTYPE_i))
137.50/137.76	(step @p191 :rule refl :args (@t145))
137.50/137.76	(step @p192 :rule eq-symm :args (@t142 @t61))
137.50/137.76	(step @p193 :rule nary_cong :premises (@p78 @p192 @p191) :args (@t146))
137.50/137.76	(step @p194 :rule cong :premises (@p141 @p193) :args (@t147))
137.50/137.76	(assume-push @p311 @t125)
137.50/137.76	(step @p196 :rule instantiate :premises (@p136) :args (@t148))
137.50/137.76	(step-pop @p311 :rule scope :premises (@p196))
137.50/137.76	(step @p197 :rule process_scope :premises (@p311) :args (@t146))
137.50/137.76	(step @p199 :rule eq_resolve :premises (@p197 @p194))
137.50/137.76	(step @p200 :rule implies_elim :premises (@p199))
137.50/137.76	(step @p201 :rule chain_resolution :premises (@p200 @p136) :args (@t80 @t128))
137.50/137.76	; trust TRUST PREPROCESS_HO_ELIM
137.50/137.76	(step @p202 :rule trust :premises () :args (@t149))
137.50/137.76	(step @p203 :rule eq_resolve :premises (@p34 @p202))
137.50/137.76	(step @p204 :rule cnf_or_pos :args (@t151))
137.50/137.76	(step @p205 :rule reordering :premises (@p204) :args (@t152))
137.50/137.76	(step @p206 :rule chain_resolution :premises (@p205 @p73 @p203 @p201) :args (@t153 @t154))
137.50/137.76	(step @p207 :rule cong :premises (@p206 @p190) :args (@t62))
137.50/137.76	(step @p208 :rule symm :premises (@p71))
137.50/137.76	(step @p209 :rule trans :premises (@p208 @p207))
137.50/137.76	(step @p210 :rule cong :premises (@p209 @p189) :args (@t116))
137.50/137.76	(step @p211 :rule trans :premises (@p210 @p188))
137.50/137.76	(step @p212 :rule true_elim :premises (@p211))
137.50/137.76	(step @p213 :rule cnf_or_pos :args (@t156))
137.50/137.76	(step @p214 :rule reordering :premises (@p213) :args (@t157))
137.50/137.76	(step @p215 :rule chain_resolution :premises (@p214 @p212 @p185 @p149) :args (@t153 @t158))
137.50/137.76	(assume-push @p313 @t160)
137.50/137.76	(assume-push @p314 @t155)
137.50/137.76	(assume-push @p315 @t161)
137.50/137.76	(step @p87 :rule refl :args (tptp.lAsymmetricRelation_THFTYPE_i))
137.50/137.76	(step @p216 :rule cong :premises (@p215 @p87) :args (@t121))
137.50/137.76	(step @p263 :rule trans :premises (@p181 @p216 @p208))
137.50/137.76	(step-pop @p315 :rule scope :premises (@p263))
137.50/137.76	(step-pop @p316 :rule scope :premises (@p315))
137.50/137.76	(step-pop @p317 :rule scope :premises (@p316))
137.50/137.76	(step @p264 :rule process_scope :premises (@p317) :args (@t86))
137.50/137.76	(step @p268 :rule implies_elim :premises (@p264))
137.50/137.76	(step @p269 :rule cnf_and_neg :args (@t162))
137.50/137.76	(step @p270 :rule resolution :premises (@p269 @p268) :args (true @t162))
137.50/137.76	(step @p271 :rule reordering :premises (@p270) :args ((or @t86 (not @t160) (not @t155) (not @t161))))
137.50/137.76	(step @p272 false :rule chain_resolution :premises (@p271 @p215 @p181 @p251 @p71) :args ((@list false false true false) (@list @t155 @t161 @t86 @t160)))
137.50/137.76	)
137.50/137.76	% SZS output end Proof
137.50/137.76	% cvc5 exiting
137.50/137.76	EOF