0.07/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.13/0.33	% Computer : n031.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit : 1920
0.13/0.33	% WCLimit  : 240
0.13/0.33	% DateTime : Fri Sep  5 18:22:52 EDT 2025
0.13/0.33	% CPUTime  : 
0.19/0.49	%----Proving TF0_NAR, FOF, or CNF
160.17/160.46	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 12...
160.17/160.46	--- Run --no-e-matching --full-saturate-quant at 4...
160.17/160.46	--- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 4...
160.17/160.46	--- Run --finite-model-find --uf-ss=no-minimal at 4...
160.17/160.46	--- Run --multi-trigger-when-single --full-saturate-quant at 24...
160.17/160.46	--- Run --trigger-sel=max --full-saturate-quant at 12...
160.17/160.46	--- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 26...
160.17/160.46	--- Run --multi-trigger-cache --full-saturate-quant at 12...
160.17/160.46	--- Run --prenex-quant=none --full-saturate-quant at 24...
160.17/160.46	--- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 12...
160.17/160.46	--- Run --relevant-triggers --full-saturate-quant at 24...
160.17/160.46	--- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 12...
160.17/160.46	% SZS status Theorem
160.17/160.46	% SZS output start Proof
160.17/160.46	(
160.17/160.46	(declare-type $$unsorted ())
160.17/160.46	(declare-const tptp.mighta (-> $$unsorted $$unsorted Bool))
160.17/160.46	(declare-const tptp.nevera (-> $$unsorted $$unsorted Bool))
160.17/160.46	(declare-const tptp.nota (-> $$unsorted $$unsorted Bool))
160.17/160.46	(declare-const tptp.eth $$unsorted)
160.17/160.46	(declare-const tptp.noc $$unsorted)
160.17/160.46	(declare-const tptp.wec $$unsorted)
160.17/160.46	(declare-const tptp.esa $$unsorted)
160.17/160.46	(declare-const tptp.wtc $$unsorted)
160.17/160.46	(declare-const tptp.unp $$unsorted)
160.17/160.46	(declare-const tptp.sat $$unsorted)
160.17/160.46	(declare-const tptp.sap $$unsorted)
160.17/160.46	(declare-const tptp.wth $$unsorted)
160.17/160.46	(declare-const tptp.tac $$unsorted)
160.17/160.46	(declare-const tptp.wca $$unsorted)
160.17/160.46	(declare-const tptp.xora (-> $$unsorted $$unsorted Bool))
160.17/160.46	(declare-const tptp.cax $$unsorted)
160.17/160.46	(declare-const tptp.isa (-> $$unsorted $$unsorted Bool))
160.17/160.46	(declare-const tptp.csa $$unsorted)
160.17/160.46	(declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool))
160.17/160.46	(declare-const tptp.thm $$unsorted)
160.17/160.46	(declare-const tptp.not (-> $$unsorted $$unsorted))
160.17/160.46	(declare-const tptp.model (-> $$unsorted $$unsorted Bool))
160.17/160.46	(declare-const tptp.eqv $$unsorted)
160.17/160.46	(declare-const tptp.sca $$unsorted)
160.17/160.46	(declare-const tptp.uns $$unsorted)
160.17/160.46	(declare-const tptp.tca $$unsorted)
160.17/160.46	(declare-const tptp.tau $$unsorted)
160.17/160.46	(define @t1 () (@var "C" $$unsorted))
160.17/160.46	(define @t2 () (@var "Ax" $$unsorted))
160.17/160.46	(define @t3 () (@var "I2" $$unsorted))
160.17/160.46	(define @t4 () (tptp.model @t3 @t1))
160.17/160.46	(define @t5 () (@list @t3))
160.17/160.46	(define @t6 () (exists @t5 @t4))
160.17/160.46	(define @t7 () (@var "I1" $$unsorted))
160.17/160.46	(define @t8 () (tptp.model @t7 @t2))
160.17/160.46	(define @t9 () (@list @t7))
160.17/160.46	(define @t10 () (exists @t9 @t8))
160.17/160.46	(define @t11 () (@list @t2 @t1))
160.17/160.46	(define @t12 () (not @t10))
160.17/160.46	(define @t13 () (@var "I3" $$unsorted))
160.17/160.46	(define @t14 () (tptp.model @t13 @t1))
160.17/160.46	(define @t15 () (not @t14))
160.17/160.46	(define @t16 () (@list @t13))
160.17/160.46	(define @t17 () (tptp.status @t2 @t1 tptp.thm))
160.17/160.46	(define @t18 () (tptp.model @t7 @t1))
160.17/160.46	(define @t19 () (forall @t9 (=> @t8 @t18)))
160.17/160.46	(define @t20 () (= @t19 @t17))
160.17/160.46	(define @t21 () (forall @t11 @t20))
160.17/160.46	(define @t22 () (tptp.model @t3 @t2))
160.17/160.46	(define @t23 () (forall @t5 (=> @t22 @t4)))
160.17/160.46	(define @t24 () (@var "I4" $$unsorted))
160.17/160.46	(define @t25 () (tptp.model @t24 @t1))
160.17/160.46	(define @t26 () (not @t25))
160.17/160.46	(define @t27 () (@list @t24))
160.17/160.46	(define @t28 () (exists @t27 @t26))
160.17/160.46	(define @t29 () (tptp.model @t13 @t2))
160.17/160.46	(define @t30 () (not @t29))
160.17/160.46	(define @t31 () (and @t30 @t14))
160.17/160.46	(define @t32 () (exists @t16 @t31))
160.17/160.46	(define @t33 () (tptp.not @t1))
160.17/160.46	(define @t34 () (forall @t5 @t4))
160.17/160.46	(define @t35 () (and @t8 @t18))
160.17/160.46	(define @t36 () (exists @t9 @t35))
160.17/160.46	(define @t37 () (tptp.status @t2 @t1 tptp.sat))
160.17/160.46	(define @t38 () (= @t37 @t36))
160.17/160.46	(define @t39 () (forall @t11 @t38))
160.17/160.46	(define @t40 () (tptp.model @t3 @t33))
160.17/160.46	(define @t41 () (not @t22))
160.17/160.46	(define @t42 () (exists @t5 @t41))
160.17/160.46	(define @t43 () (@var "S2" $$unsorted))
160.17/160.46	(define @t44 () (tptp.status @t2 @t1 @t43))
160.17/160.46	(define @t45 () (not @t44))
160.17/160.46	(define @t46 () (@var "S1" $$unsorted))
160.17/160.46	(define @t47 () (tptp.status @t2 @t1 @t46))
160.17/160.46	(define @t48 () (@list @t46 @t43))
160.17/160.46	(define @t49 () (@var "F" $$unsorted))
160.17/160.46	(define @t50 () (@var "I" $$unsorted))
160.17/160.46	(define @t51 () (tptp.model @t50 @t49))
160.17/160.46	(define @t52 () (@list @t50))
160.17/160.46	(define @t53 () (@list @t49))
160.17/160.46	(define @t54 () (and @t10 @t28 @t32 @t23))
160.17/160.46	(define @t55 () (exists @t11 @t54))
160.17/160.46	(define @t56 () (and @t45 @t47))
160.17/160.46	(define @t57 () (exists @t11 @t56))
160.17/160.46	(define @t58 () (tptp.nota @t46 @t43))
160.17/160.46	(define @t59 () (= @t58 @t57))
160.17/160.46	(define @t60 () (forall @t48 @t59))
160.17/160.46	(define @t61 () (not @t18))
160.17/160.46	(define @t62 () (tptp.model @t50 (tptp.not @t49)))
160.17/160.46	(define @t63 () (@list @t50 @t49))
160.17/160.46	(define @t64 () (not (tptp.nota tptp.sat tptp.thm)))
160.17/160.46	(define @t65 () (@var "b_I1" it_8_$$unsorted))
160.17/160.46	(define @t66 () (@const 0 (-> it_8_$$unsorted $$unsorted Bool)))
160.17/160.46	(define @t67 () (@list @t65))
160.17/160.46	(define @t68 () (@const 1 it_7_$$unsorted))
160.17/160.46	(define @t69 () (@const 2 (-> $$unsorted $$unsorted it_7_$$unsorted Bool)))
160.17/160.46	(define @t70 () (_ @t69 @t2 @t1 @t68))
160.17/160.46	(define @t71 () (not @t8))
160.17/160.46	(define @t72 () (forall @t9 (not @t35)))
160.17/160.46	(define @t73 () (not @t72))
160.17/160.46	(define @t74 () (@var "b_BOUND_VARIABLE_7676" it_8_$$unsorted))
160.17/160.46	(define @t75 () (@var "b_I2" it_8_$$unsorted))
160.17/160.46	(define @t76 () (@list @t75))
160.17/160.46	(define @t77 () (@var "b_BOUND_VARIABLE_7673" it_8_$$unsorted))
160.17/160.46	(define @t78 () (@var "b_BOUND_VARIABLE_7669" it_8_$$unsorted))
160.17/160.46	(define @t79 () (forall (@list @t2 @t1 @t78 @t77 @t74) (or (not (_ @t66 @t78 @t2)) (_ @t66 @t77 @t1) (not (forall @t76 (or (not (_ @t66 @t75 @t2)) (_ @t66 @t75 @t1)))) (_ @t66 @t74 @t2) (not (_ @t66 @t74 @t1)))))
160.17/160.46	(define @t80 () (@quantifiers_skolemize @t79 0))
160.17/160.46	(define @t81 () (@quantifiers_skolemize @t79 1))
160.17/160.46	(define @t82 () (@list @t81 @t80))
160.17/160.46	(define @t83 () (@var "b_S1" it_7_$$unsorted))
160.17/160.46	(define @t84 () (@var "b_S2" it_7_$$unsorted))
160.17/160.46	(define @t85 () (@const 3 (-> it_7_$$unsorted it_7_$$unsorted Bool)))
160.17/160.46	(define @t86 () (not @t47))
160.17/160.46	(define @t87 () (forall @t11 (not @t56)))
160.17/160.46	(define @t88 () (not @t87))
160.17/160.46	(define @t89 () (@const 4 it_7_$$unsorted))
160.17/160.46	(define @t90 () (_ @t85 @t68 @t89))
160.17/160.46	(define @t91 () (_ @t69 @t2 @t1 @t89))
160.17/160.46	(define @t92 () (forall @t11 (or @t91 (not @t70))))
160.17/160.46	(define @t93 () (not @t92))
160.17/160.46	(define @t94 () (= @t90 @t93))
160.17/160.46	(define @t95 () (not @t94))
160.17/160.46	(define @t96 () (@list true false))
160.17/160.46	(define @t97 () (@var "b_I1" it_8_$$unsorted))
160.17/160.46	(define @t98 () (@list @t97))
160.17/160.46	(define @t99 () (forall @t9 (or @t71 @t18)))
160.17/160.46	(define @t100 () (@var "BOUND_VARIABLE_7676" $$unsorted))
160.17/160.46	(define @t101 () (not (tptp.model @t100 @t1)))
160.17/160.46	(define @t102 () (tptp.model @t100 @t2))
160.17/160.46	(define @t103 () (forall @t5 (or @t41 @t4)))
160.17/160.46	(define @t104 () (not @t103))
160.17/160.46	(define @t105 () (@var "BOUND_VARIABLE_7673" $$unsorted))
160.17/160.46	(define @t106 () (tptp.model @t105 @t1))
160.17/160.46	(define @t107 () (@var "BOUND_VARIABLE_7669" $$unsorted))
160.17/160.46	(define @t108 () (not (tptp.model @t107 @t2)))
160.17/160.46	(define @t109 () (or @t108 @t106 @t104 @t102 @t101))
160.17/160.46	(define @t110 () (@list @t2 @t1 @t107 @t105 @t100))
160.17/160.46	(define @t111 () (or @t102 @t101))
160.17/160.46	(define @t112 () (or @t108 @t106 @t111 @t104))
160.17/160.46	(define @t113 () (forall @t110 @t112))
160.17/160.46	(define @t114 () (forall (@list @t107 @t105 @t100) @t112))
160.17/160.46	(define @t115 () (forall (@list @t100) @t111))
160.17/160.46	(define @t116 () (forall (@list @t105) @t106))
160.17/160.46	(define @t117 () (forall (@list @t107) @t108))
160.17/160.46	(define @t118 () (or @t117 @t116 @t115 @t104))
160.17/160.46	(define @t119 () (forall @t16 (or @t29 @t15)))
160.17/160.46	(define @t120 () (forall @t27 @t25))
160.17/160.46	(define @t121 () (forall @t9 @t71))
160.17/160.46	(define @t122 () (not @t119))
160.17/160.46	(define @t123 () (not @t122))
160.17/160.46	(define @t124 () (not @t120))
160.17/160.46	(define @t125 () (not @t124))
160.17/160.46	(define @t126 () (not @t121))
160.17/160.46	(define @t127 () (not @t126))
160.17/160.46	(define @t128 () (or @t127 @t125 @t123 @t104))
160.17/160.46	(define @t129 () (and @t126 @t124 @t122 @t103))
160.17/160.46	(define @t130 () (forall @t11 (not @t129)))
160.17/160.46	(define @t131 () (not @t130))
160.17/160.46	(define @t132 () (forall @t16 (not @t31)))
160.17/160.46	(define @t133 () (not @t132))
160.17/160.46	(define @t134 () (forall @t27 (not @t26)))
160.17/160.46	(define @t135 () (not @t134))
160.17/160.46	(define @t136 () (@quantifiers_skolemize @t79 4))
160.17/160.46	(define @t137 () (_ @t66 @t136 @t81))
160.17/160.46	(define @t138 () (not @t137))
160.17/160.46	(define @t139 () (_ @t66 @t136 @t80))
160.17/160.46	(define @t140 () (forall @t76 (or (not (_ @t66 @t75 @t80)) (_ @t66 @t75 @t81))))
160.17/160.46	(define @t141 () (not @t140))
160.17/160.46	(define @t142 () (@quantifiers_skolemize @t79 2))
160.17/160.46	(define @t143 () (_ @t66 @t142 @t80))
160.17/160.46	(define @t144 () (not @t143))
160.17/160.46	(define @t145 () (or @t144 (_ @t66 (@quantifiers_skolemize @t79 3) @t81) @t141 @t139 @t138))
160.17/160.46	(define @t146 () (@list true))
160.17/160.46	(define @t147 () (@list @t145))
160.17/160.46	(define @t148 () (or @t138 @t139))
160.17/160.46	(define @t149 () (forall @t98 (or (not (_ @t66 @t97 @t81)) (_ @t66 @t97 @t80))))
160.17/160.46	(define @t150 () (_ @t69 @t81 @t80 @t89))
160.17/160.46	(define @t151 () (= @t150 @t149))
160.17/160.46	(define @t152 () (_ @t69 @t81 @t80 @t68))
160.17/160.46	(define @t153 () (not @t152))
160.17/160.46	(define @t154 () (or @t150 @t153))
160.17/160.46	(define @t155 () (forall @t67 (or (not (_ @t66 @t65 @t81)) (not (_ @t66 @t65 @t80)))))
160.17/160.46	(define @t156 () (not @t155))
160.17/160.46	(define @t157 () (= @t152 @t156))
160.17/160.46	(define @t158 () (not @t157))
160.17/160.46	(define @t159 () (@list @t142))
160.17/160.46	(define @t160 () (_ @t66 @t142 @t81))
160.17/160.46	(define @t161 () (or @t144 @t160))
160.17/160.46	(define @t162 () (@list false false))
160.17/160.46	(define @t163 () (not @t160))
160.17/160.46	(define @t164 () (or @t163 @t144))
160.17/160.46	(assume @p1 (forall @t11 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap))))
160.17/160.46	(assume @p2 (forall @t11 (= (tptp.status @t2 @t1 tptp.wca) (and @t6 (exists @t16 @t15) @t12))))
160.17/160.46	(assume @p3 @t21)
160.17/160.46	(assume @p4 (forall @t11 (= @t12 (tptp.status @t2 @t1 tptp.cax))))
160.17/160.46	(assume @p5 (forall @t11 (= (and @t10 @t32 @t28 @t23) (tptp.status @t2 @t1 tptp.wth))))
160.17/160.46	(assume @p6 (forall @t11 (= (exists @t9 (and @t8 (tptp.model @t7 @t33))) (tptp.status @t2 @t1 tptp.csa))))
160.17/160.46	(assume @p7 (forall @t11 (= (and @t12 @t34) (tptp.status @t2 @t1 tptp.tca))))
160.17/160.46	(assume @p8 (forall @t11 (= (tptp.status @t2 @t1 tptp.tau) (forall @t9 @t35))))
160.17/160.46	(assume @p9 (forall @t11 (= (tptp.status @t2 @t1 tptp.tac) (and @t34 @t10))))
160.17/160.46	(assume @p10 (forall @t11 (= (tptp.status @t2 @t1 tptp.eqv) (and @t10 (forall @t5 (= @t4 @t22))))))
160.17/160.46	(assume @p11 @t39)
160.17/160.46	(assume @p12 (forall @t11 (= (tptp.status @t2 @t1 tptp.uns) (and (forall @t9 @t8) (forall @t5 @t40)))))
160.17/160.46	(assume @p13 (forall @t11 (= (tptp.status @t2 @t1 tptp.unp) (=> @t12 (not @t6)))))
160.17/160.46	(assume @p14 (forall @t11 (= (tptp.status @t2 @t1 tptp.wtc) (and @t42 (forall @t16 @t14) @t10))))
160.17/160.46	(assume @p15 (forall @t11 (= (tptp.status @t2 @t1 tptp.wec) (and (exists @t16 (and @t14 @t30)) @t23 @t10))))
160.17/160.46	(assume @p16 (forall @t11 (= (and @t12 @t6) (tptp.status @t2 @t1 tptp.sca))))
160.17/160.46	(assume @p17 (forall @t11 (= (tptp.status @t2 @t1 tptp.noc) (and (exists @t9 (and @t18 @t8)) (exists @t5 (and @t40 @t22))))))
160.17/160.46	(assume @p18 (forall @t11 (= (tptp.status @t2 @t1 tptp.esa) (= @t10 @t6))))
160.17/160.46	(assume @p19 (forall @t11 (= (and @t42 (forall @t16 (= @t14 @t29)) @t10) (tptp.status @t2 @t1 tptp.eth))))
160.17/160.46	(assume @p20 (forall @t48 (= (tptp.nevera @t46 @t43) (forall @t11 (=> @t47 @t45)))))
160.17/160.46	(assume @p21 (exists @t53 (forall @t52 (not @t51))))
160.17/160.46	(assume @p22 @t55)
160.17/160.46	(assume @p23 @t60)
160.17/160.46	(assume @p24 (exists @t53 (and (exists @t5 (not (tptp.model @t3 @t49))) (exists @t9 (tptp.model @t7 @t49)))))
160.17/160.46	(assume @p25 (forall @t48 (= (exists @t11 (and @t47 @t44)) (tptp.mighta @t46 @t43))))
160.17/160.46	(assume @p26 (exists (@list @t7 @t2 @t1) (and @t61 @t6 @t8)))
160.17/160.46	(assume @p27 (exists @t53 (forall @t52 @t51)))
160.17/160.46	(assume @p28 (forall @t63 (= @t51 (not @t62))))
160.17/160.46	(assume @p29 (forall @t48 (= (tptp.isa @t46 @t43) (forall @t11 (=> @t47 @t44)))))
160.17/160.46	(assume @p30 (forall @t48 (= (forall @t11 (xor @t47 @t44)) (tptp.xora @t46 @t43))))
160.17/160.46	(assume @p31 (exists @t11 (and (exists @t5 (or (not @t4) @t41)) @t36)))
160.17/160.46	(assume @p32 (forall @t63 (xor @t51 @t62)))
160.17/160.46	(assume @p33 @t64)
160.17/160.46	(assume @p34 true)
160.17/160.46	; WARNING: add trust step for TRUST
160.17/160.46	; trust TRUST PREPROCESS_SORT_INFER
160.17/160.46	(step @p35 :rule trust :premises () :args ((= (forall @t11 (= @t37 (not (forall @t9 (or @t71 @t61))))) (forall @t11 (= @t70 (not (forall @t67 (or (not (_ @t66 @t65 @t2)) (not (_ @t66 @t65 @t1))))))))))
160.17/160.46	(step @p36 :rule bool-and-de-morgan :args (@t8 @t18 true))
160.17/160.46	(step @p37 :rule cong :premises (@p36) :args (@t72))
160.17/160.46	(step @p38 :rule cong :premises (@p37) :args (@t73))
160.17/160.46	(step @p39 :rule exists-elim :args ((= @t36 @t73)))
160.17/160.46	(step @p40 :rule trans :premises (@p39 @p38))
160.17/160.46	(step @p41 :rule refl :args (@t37))
160.17/160.46	(step @p42 :rule cong :premises (@p41 @p40) :args (@t38))
160.17/160.46	(step @p43 :rule cong :premises (@p42) :args (@t39))
160.17/160.46	(step @p44 :rule trans :premises (@p43 @p35))
160.17/160.46	(step @p45 :rule eq_resolve :premises (@p11 @p44))
160.17/160.46	(step @p46 :rule instantiate :premises (@p45) :args (@t82))
160.17/160.46	; trust TRUST PREPROCESS_SORT_INFER
160.17/160.46	(step @p47 :rule trust :premises () :args ((= (forall @t48 (= @t58 (not (forall @t11 (or @t44 @t86))))) (forall (@list @t83 @t84) (= (_ @t85 @t83 @t84) (not (forall @t11 (or (_ @t69 @t2 @t1 @t84) (not (_ @t69 @t2 @t1 @t83))))))))))
160.17/160.46	(step @p48 :rule refl :args (@t86))
160.17/160.46	(step @p49 :rule bool-double-not-elim :args (@t44))
160.17/160.46	(step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t45) @t86)))
160.17/160.46	(step @p51 :rule bool-and-de-morgan :args (@t45 @t47 true))
160.17/160.46	(step @p52 :rule trans :premises (@p51 @p50))
160.17/160.46	(step @p53 :rule cong :premises (@p52) :args (@t87))
160.17/160.46	(step @p54 :rule cong :premises (@p53) :args (@t88))
160.17/160.46	(step @p55 :rule exists-elim :args ((= @t57 @t88)))
160.17/160.46	(step @p56 :rule trans :premises (@p55 @p54))
160.17/160.46	(step @p57 :rule refl :args (@t58))
160.17/160.46	(step @p58 :rule cong :premises (@p57 @p56) :args (@t59))
160.17/160.46	(step @p59 :rule cong :premises (@p58) :args (@t60))
160.17/160.46	(step @p60 :rule trans :premises (@p59 @p47))
160.17/160.46	(step @p61 :rule eq_resolve :premises (@p23 @p60))
160.17/160.46	(step @p62 :rule instantiate :premises (@p61) :args ((@list @t68 @t89)))
160.17/160.46	; trust TRUST PREPROCESS_SORT_INFER
160.17/160.46	(step @p63 :rule trust :premises () :args ((= @t64 (not @t90))))
160.17/160.46	(step @p64 :rule eq_resolve :premises (@p33 @p63))
160.17/160.46	(step @p65 :rule bool-double-not-elim :args (@t92))
160.17/160.46	(step @p66 :rule refl :args (@t90))
160.17/160.46	(step @p67 :rule refl :args (@t95))
160.17/160.46	(step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args ((or @t95 @t90 (not @t93))))
160.17/160.46	(step @p69 :rule cnf_equiv_pos2 :args (@t94))
160.17/160.46	(step @p70 :rule eq_resolve :premises (@p69 @p68))
160.17/160.46	(step @p71 :rule reordering :premises (@p70) :args ((or @t90 @t92 @t95)))
160.17/160.46	(step @p72 :rule chain_resolution :premises (@p71 @p64 @p62) :args (@t96 (@list @t90 @t94)))
160.17/160.46	(step @p73 :rule instantiate :premises (@p72) :args (@t82))
160.17/160.46	; trust TRUST PREPROCESS_SORT_INFER
160.17/160.46	(step @p74 :rule trust :premises () :args ((= (forall @t11 (= @t17 @t99)) (forall @t11 (= @t91 (forall @t98 (or (not (_ @t66 @t97 @t2)) (_ @t66 @t97 @t1))))))))
160.17/160.46	(step @p75 :rule eq-symm :args (@t99 @t17))
160.17/160.46	(step @p76 :rule refl :args (@t17))
160.17/160.46	(step @p77 :rule bool-impl-elim :args (@t8 @t18))
160.17/160.46	(step @p78 :rule cong :premises (@p77) :args (@t19))
160.17/160.46	(step @p79 :rule cong :premises (@p78 @p76) :args (@t20))
160.17/160.46	(step @p80 :rule trans :premises (@p79 @p75))
160.17/160.46	(step @p81 :rule cong :premises (@p80) :args (@t21))
160.17/160.46	(step @p82 :rule trans :premises (@p81 @p74))
160.17/160.46	(step @p83 :rule eq_resolve :premises (@p3 @p82))
160.17/160.46	(step @p84 :rule instantiate :premises (@p83) :args (@t82))
160.17/160.46	; trust TRUST PREPROCESS_SORT_INFER
160.17/160.46	(step @p85 :rule trust :premises () :args ((= (not (forall @t110 @t109)) (not @t79))))
160.17/160.46	(step @p86 :rule aci_norm :args ((= @t112 @t109)))
160.17/160.46	(step @p87 :rule cong :premises (@p86) :args (@t113))
160.17/160.46	(step @p88 :rule quant-merge-prenex :args ((= (forall @t11 @t114) @t113)))
160.17/160.46	(step @p89 :rule refl :args (@t104))
160.17/160.46	(step @p90 :rule alpha_equiv :args (@t115 (@list @t100) (@list @t13)))
160.17/160.46	(step @p91 :rule alpha_equiv :args (@t116 (@list @t105) (@list @t24)))
160.17/160.46	(step @p92 :rule alpha_equiv :args (@t117 (@list @t107) (@list @t7)))
160.17/160.46	(step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89) :args (@t118))
160.17/160.46	(step @p94 :rule quant-miniscope-or :args ((= @t114 @t118)))
160.17/160.46	(step @p95 :rule trans :premises (@p94 @p93))
160.17/160.46	(step @p96 :rule symm :premises (@p95))
160.17/160.46	(step @p97 :rule cong :premises (@p96) :args ((forall @t11 (or @t121 @t120 @t119 @t104))))
160.17/160.46	(step @p98 :rule trans :premises (@p97 @p88))
160.17/160.46	(step @p99 :rule trans :premises (@p98 @p87))
160.17/160.46	(step @p100 :rule bool-double-not-elim :args (@t119))
160.17/160.46	(step @p101 :rule bool-double-not-elim :args (@t120))
160.17/160.46	(step @p102 :rule bool-double-not-elim :args (@t121))
160.17/160.46	(step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p89) :args (@t128))
160.17/160.46	(step @p104 :rule aci_norm :args ((= (or @t127 (or @t125 (or @t123 @t104))) @t128)))
160.17/160.46	(step @p105 :rule trans :premises (@p104 @p103))
160.17/160.46	(step @p106 :rule bool-and-de-morgan :args (@t122 @t103 true))
160.17/160.46	(step @p107 :rule refl :args (@t125))
160.17/160.46	(step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t125 (not (and @t122 @t103)))))
160.17/160.46	(step @p109 :rule bool-and-de-morgan :args (@t124 @t122 (and @t103)))
160.17/160.46	(step @p110 :rule trans :premises (@p109 @p108))
160.17/160.46	(step @p111 :rule refl :args (@t127))
160.17/160.46	(step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t127 (not (and @t124 @t122 @t103)))))
160.17/160.46	(step @p113 :rule bool-and-de-morgan :args (@t126 @t124 (and @t122 @t103)))
160.17/160.46	(step @p114 :rule trans :premises (@p113 @p112))
160.17/160.46	(step @p115 :rule trans :premises (@p114 @p105))
160.17/160.46	(step @p116 :rule cong :premises (@p115) :args (@t130))
160.17/160.46	(step @p117 :rule trans :premises (@p116 @p99))
160.17/160.46	(step @p118 :rule cong :premises (@p117) :args (@t131))
160.17/160.46	(step @p119 :rule exists-elim :args ((= (exists @t11 @t129) @t131)))
160.17/160.46	(step @p120 :rule trans :premises (@p119 @p118))
160.17/160.46	(step @p121 :rule bool-impl-elim :args (@t22 @t4))
160.17/160.46	(step @p122 :rule cong :premises (@p121) :args (@t23))
160.17/160.46	(step @p123 :rule refl :args (@t15))
160.17/160.46	(step @p124 :rule bool-double-not-elim :args (@t29))
160.17/160.46	(step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t30) @t15)))
160.17/160.46	(step @p126 :rule bool-and-de-morgan :args (@t30 @t14 true))
160.17/160.46	(step @p127 :rule trans :premises (@p126 @p125))
160.17/160.46	(step @p128 :rule cong :premises (@p127) :args (@t132))
160.17/160.46	(step @p129 :rule cong :premises (@p128) :args (@t133))
160.17/160.46	(step @p130 :rule exists-elim :args ((= @t32 @t133)))
160.17/160.46	(step @p131 :rule trans :premises (@p130 @p129))
160.17/160.46	(step @p132 :rule bool-double-not-elim :args (@t25))
160.17/160.46	(step @p133 :rule cong :premises (@p132) :args (@t134))
160.17/160.46	(step @p134 :rule cong :premises (@p133) :args (@t135))
160.17/160.46	(step @p135 :rule exists-elim :args ((= @t28 @t135)))
160.17/160.46	(step @p136 :rule trans :premises (@p135 @p134))
160.17/160.46	(step @p137 :rule exists-elim :args ((= @t10 @t126)))
160.17/160.46	(step @p138 :rule nary_cong :premises (@p137 @p136 @p131 @p122) :args (@t54))
160.17/160.46	(step @p139 :rule cong :premises (@p138) :args (@t55))
160.17/160.46	(step @p140 :rule trans :premises (@p139 @p120))
160.17/160.46	(step @p141 :rule trans :premises (@p140 @p85))
160.17/160.46	(step @p142 :rule eq_resolve :premises (@p22 @p141))
160.17/160.46	(step @p143 :rule skolemize :premises (@p142))
160.17/160.46	(step @p144 :rule bool-double-not-elim :args (@t137))
160.17/160.46	(step @p145 :rule refl :args (@t145))
160.17/160.46	(step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t145 (not @t138))))
160.17/160.46	(step @p147 :rule cnf_or_neg :args (@t145 4))
160.17/160.46	(step @p148 :rule eq_resolve :premises (@p147 @p146))
160.17/160.46	(step @p149 :rule reordering :premises (@p148) :args ((or @t137 @t145)))
160.17/160.46	(step @p150 :rule chain_resolution :premises (@p149 @p143) :args (@t146 @t147))
160.17/160.46	(step @p151 :rule cnf_or_neg :args (@t145 3))
160.17/160.46	(step @p152 :rule chain_resolution :premises (@p151 @p143) :args (@t146 @t147))
160.17/160.46	(step @p153 :rule cnf_or_pos :args (@t148))
160.17/160.46	(step @p154 :rule reordering :premises (@p153) :args ((or @t139 @t138 (not @t148))))
160.17/160.46	(step @p155 :rule chain_resolution :premises (@p154 @p152 @p150) :args (@t96 (@list @t139 @t137)))
160.17/160.46	(assume-push @p201 @t149)
160.17/160.46	(step @p157 :rule instantiate :premises (@p201) :args ((@list @t136)))
160.17/160.46	(step-pop @p201 :rule scope :premises (@p157))
160.17/160.46	(step @p158 :rule process_scope :premises (@p201) :args (@t148))
160.17/160.46	(step @p160 :rule implies_elim :premises (@p158))
160.17/160.46	(step @p161 :rule chain_resolution :premises (@p160 @p155) :args (@t146 (@list @t148)))
160.17/160.46	(step @p162 :rule cnf_equiv_pos1 :args (@t151))
160.17/160.46	(step @p163 :rule reordering :premises (@p162) :args ((or @t149 (not @t150) (not @t151))))
160.17/160.46	(step @p164 :rule chain_resolution :premises (@p163 @p161 @p84) :args (@t96 (@list @t149 @t151)))
160.17/160.46	(step @p165 :rule cnf_or_pos :args (@t154))
160.17/160.46	(step @p166 :rule reordering :premises (@p165) :args ((or @t150 @t153 (not @t154))))
160.17/160.46	(step @p167 :rule chain_resolution :premises (@p166 @p164 @p73) :args (@t96 (@list @t150 @t154)))
160.17/160.46	(step @p168 :rule bool-double-not-elim :args (@t155))
160.17/160.46	(step @p169 :rule refl :args (@t152))
160.17/160.46	(step @p170 :rule refl :args (@t158))
160.17/160.46	(step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args ((or @t158 @t152 (not @t156))))
160.17/160.46	(step @p172 :rule cnf_equiv_pos2 :args (@t157))
160.17/160.46	(step @p173 :rule eq_resolve :premises (@p172 @p171))
160.17/160.46	(step @p174 :rule reordering :premises (@p173) :args ((or @t152 @t155 @t158)))
160.17/160.46	(step @p175 :rule chain_resolution :premises (@p174 @p167 @p46) :args (@t96 (@list @t152 @t157)))
160.17/160.46	(step @p176 :rule bool-double-not-elim :args (@t140))
160.17/160.46	(step @p177 :rule nary_cong :premises (@p145 @p176) :args ((or @t145 (not @t141))))
160.17/160.46	(step @p178 :rule cnf_or_neg :args (@t145 2))
160.17/160.46	(step @p179 :rule eq_resolve :premises (@p178 @p177))
160.17/160.46	(step @p180 :rule reordering :premises (@p179) :args ((or @t140 @t145)))
160.17/160.46	(step @p181 :rule chain_resolution :premises (@p180 @p143) :args (@t146 @t147))
160.17/160.47	(step @p182 :rule instantiate :premises (@p181) :args (@t159))
160.17/160.47	(step @p183 :rule bool-double-not-elim :args (@t143))
160.17/160.47	(step @p184 :rule nary_cong :premises (@p145 @p183) :args ((or @t145 (not @t144))))
160.17/160.47	(step @p185 :rule cnf_or_neg :args (@t145 0))
160.17/160.47	(step @p186 :rule eq_resolve :premises (@p185 @p184))
160.17/160.47	(step @p187 :rule reordering :premises (@p186) :args ((or @t143 @t145)))
160.17/160.47	(step @p188 :rule chain_resolution :premises (@p187 @p143) :args (@t146 @t147))
160.17/160.47	(step @p189 :rule cnf_or_pos :args (@t161))
160.17/160.47	(step @p190 :rule reordering :premises (@p189) :args ((or @t144 @t160 (not @t161))))
160.17/160.47	(step @p191 :rule chain_resolution :premises (@p190 @p188 @p182) :args (@t162 (@list @t143 @t161)))
160.17/160.47	(step @p192 :rule cnf_or_pos :args (@t164))
160.17/160.47	(step @p193 :rule reordering :premises (@p192) :args ((or @t144 @t163 (not @t164))))
160.17/160.47	(step @p194 :rule chain_resolution :premises (@p193 @p188 @p191) :args (@t162 (@list @t143 @t160)))
160.17/160.47	(assume-push @p203 @t155)
160.17/160.47	(step @p196 :rule instantiate :premises (@p203) :args (@t159))
160.17/160.47	(step-pop @p203 :rule scope :premises (@p196))
160.17/160.47	(step @p197 :rule process_scope :premises (@p203) :args (@t164))
160.17/160.47	(step @p199 :rule implies_elim :premises (@p197))
160.17/160.47	(step @p200 false :rule chain_resolution :premises (@p199 @p194 @p175) :args (@t96 (@list @t164 @t155)))
160.17/160.47	)
160.17/160.47	% SZS output end Proof
160.17/160.47	% cvc5 exiting
160.17/160.47	EOF