%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP204+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:37:03 AM UTC 2026 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP204+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 10:12:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.cheap (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.be (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.agent (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.patient (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.transport (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.relation (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.nonhuman (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.general (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.male (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.lonely (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.forename (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.behind (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.car (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.seat (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.dirty (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.jules_forename (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.clothes (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.group (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.abstraction (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.coat (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.present (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.vehicle (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.unisex (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.two (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.way (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.location (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.wear (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.furniture (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.young (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.chevy (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.instrumentality (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.fellow (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.thing (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.street (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.frontseat (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.multiple (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.city (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.event (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.hollywood_placename (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.relname (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.placename (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.barrel (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.artifact (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.singleton (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.man (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.animate (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.nonreflexive (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.existent (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.human_person (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.human (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.living (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.white (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.old (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.organism (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.impartial (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.entity (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.set (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.nonliving (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.specific (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.device (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.wheel (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.actual_world (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.eventuality (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.down (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.state (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.nonexistent (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.black (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.of (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.object (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.member (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (define @t1 () (@var "V" $$unsorted)) % 0.46/0.66 (define @t2 () (@var "U" $$unsorted)) % 0.46/0.66 (define @t3 () (tptp.forename @t2 @t1)) % 0.46/0.66 (define @t4 () (@list @t2 @t1)) % 0.46/0.66 (define @t5 () (tptp.relname @t2 @t1)) % 0.46/0.66 (define @t6 () (tptp.instrumentality @t2 @t1)) % 0.46/0.66 (define @t7 () (tptp.furniture @t2 @t1)) % 0.46/0.66 (define @t8 () (tptp.seat @t2 @t1)) % 0.46/0.66 (define @t9 () (tptp.object @t2 @t1)) % 0.46/0.66 (define @t10 () (tptp.location @t2 @t1)) % 0.46/0.66 (define @t11 () (tptp.placename @t2 @t1)) % 0.46/0.66 (define @t12 () (tptp.unisex @t2 @t1)) % 0.46/0.66 (define @t13 () (tptp.abstraction @t2 @t1)) % 0.46/0.66 (define @t14 () (tptp.general @t2 @t1)) % 0.46/0.66 (define @t15 () (tptp.nonhuman @t2 @t1)) % 0.46/0.66 (define @t16 () (tptp.thing @t2 @t1)) % 0.46/0.66 (define @t17 () (tptp.relation @t2 @t1)) % 0.46/0.66 (define @t18 () (tptp.transport @t2 @t1)) % 0.46/0.66 (define @t19 () (tptp.vehicle @t2 @t1)) % 0.46/0.66 (define @t20 () (tptp.car @t2 @t1)) % 0.46/0.66 (define @t21 () (tptp.artifact @t2 @t1)) % 0.46/0.66 (define @t22 () (tptp.way @t2 @t1)) % 0.46/0.66 (define @t23 () (tptp.event @t2 @t1)) % 0.46/0.66 (define @t24 () (tptp.group @t2 @t1)) % 0.46/0.66 (define @t25 () (tptp.two @t2 @t1)) % 0.46/0.66 (define @t26 () (tptp.male @t2 @t1)) % 0.46/0.66 (define @t27 () (tptp.man @t2 @t1)) % 0.46/0.66 (define @t28 () (forall @t4 (=> @t27 @t26))) % 0.46/0.66 (define @t29 () (tptp.animate @t2 @t1)) % 0.46/0.66 (define @t30 () (tptp.human_person @t2 @t1)) % 0.46/0.66 (define @t31 () (tptp.human @t2 @t1)) % 0.46/0.66 (define @t32 () (tptp.living @t2 @t1)) % 0.46/0.66 (define @t33 () (tptp.organism @t2 @t1)) % 0.46/0.66 (define @t34 () (tptp.impartial @t2 @t1)) % 0.46/0.66 (define @t35 () (tptp.entity @t2 @t1)) % 0.46/0.66 (define @t36 () (tptp.multiple @t2 @t1)) % 0.46/0.66 (define @t37 () (tptp.set @t2 @t1)) % 0.46/0.66 (define @t38 () (tptp.clothes @t2 @t1)) % 0.46/0.66 (define @t39 () (forall @t4 (=> @t9 @t12))) % 0.46/0.66 (define @t40 () (tptp.nonliving @t2 @t1)) % 0.46/0.66 (define @t41 () (tptp.existent @t2 @t1)) % 0.46/0.66 (define @t42 () (tptp.specific @t2 @t1)) % 0.46/0.66 (define @t43 () (forall @t4 (=> @t21 @t9))) % 0.46/0.66 (define @t44 () (forall @t4 (=> @t6 @t21))) % 0.46/0.66 (define @t45 () (tptp.device @t2 @t1)) % 0.46/0.66 (define @t46 () (forall @t4 (=> @t45 @t6))) % 0.46/0.66 (define @t47 () (tptp.wheel @t2 @t1)) % 0.46/0.66 (define @t48 () (forall @t4 (=> @t47 @t45))) % 0.46/0.66 (define @t49 () (tptp.eventuality @t2 @t1)) % 0.46/0.66 (define @t50 () (tptp.state @t2 @t1)) % 0.46/0.66 (define @t51 () (tptp.nonexistent @t2 @t1)) % 0.46/0.66 (define @t52 () (tptp.singleton @t2 @t1)) % 0.46/0.66 (define @t53 () (not @t26)) % 0.46/0.66 (define @t54 () (forall @t4 (=> @t12 @t53))) % 0.46/0.66 (define @t55 () (@var "X" $$unsorted)) % 0.46/0.66 (define @t56 () (tptp.of @t2 @t55 @t1)) % 0.46/0.66 (define @t57 () (@var "W" $$unsorted)) % 0.46/0.66 (define @t58 () (not (= @t55 @t57))) % 0.46/0.66 (define @t59 () (@list @t55)) % 0.46/0.66 (define @t60 () (tptp.of @t2 @t57 @t1)) % 0.46/0.66 (define @t61 () (tptp.forename @t2 @t57)) % 0.46/0.66 (define @t62 () (@list @t2 @t1 @t57)) % 0.46/0.66 (define @t63 () (@var "Y" $$unsorted)) % 0.46/0.66 (define @t64 () (= @t57 @t55)) % 0.46/0.66 (define @t65 () (@list @t2 @t1 @t57 @t55)) % 0.46/0.66 (define @t66 () (@list @t2)) % 0.46/0.66 (define @t67 () (tptp.be @t2 @t1 @t57 @t55)) % 0.46/0.66 (define @t68 () (forall @t65 (=> @t67 @t64))) % 0.46/0.66 (define @t69 () (@var "X6" $$unsorted)) % 0.46/0.66 (define @t70 () (tptp.behind @t2 @t69 @t69)) % 0.46/0.66 (define @t71 () (@var "X5" $$unsorted)) % 0.46/0.66 (define @t72 () (tptp.be @t2 @t71 @t1 @t69)) % 0.46/0.66 (define @t73 () (tptp.state @t2 @t71)) % 0.46/0.66 (define @t74 () (tptp.wheel @t2 @t69)) % 0.46/0.66 (define @t75 () (@var "X14" $$unsorted)) % 0.46/0.66 (define @t76 () (and (tptp.coat @t2 @t75) (tptp.black @t2 @t75) (tptp.cheap @t2 @t75))) % 0.46/0.66 (define @t77 () (@var "X4" $$unsorted)) % 0.46/0.66 (define @t78 () (tptp.member @t2 @t75 @t77)) % 0.46/0.66 (define @t79 () (@list @t75)) % 0.46/0.66 (define @t80 () (forall @t79 (=> @t78 @t76))) % 0.46/0.66 (define @t81 () (tptp.group @t2 @t77)) % 0.46/0.66 (define @t82 () (@var "X13" $$unsorted)) % 0.46/0.66 (define @t83 () (tptp.wear @t2 @t82)) % 0.46/0.66 (define @t84 () (tptp.nonreflexive @t2 @t82)) % 0.46/0.66 (define @t85 () (tptp.present @t2 @t82)) % 0.46/0.66 (define @t86 () (@var "X11" $$unsorted)) % 0.46/0.66 (define @t87 () (tptp.patient @t2 @t82 @t86)) % 0.46/0.66 (define @t88 () (@var "X12" $$unsorted)) % 0.46/0.66 (define @t89 () (tptp.agent @t2 @t82 @t88)) % 0.46/0.66 (define @t90 () (tptp.event @t2 @t82)) % 0.46/0.66 (define @t91 () (and @t90 @t89 @t87 @t85 @t84 @t83)) % 0.46/0.66 (define @t92 () (@list @t82)) % 0.46/0.66 (define @t93 () (exists @t92 @t91)) % 0.46/0.66 (define @t94 () (@var "X3" $$unsorted)) % 0.46/0.66 (define @t95 () (tptp.member @t2 @t88 @t94)) % 0.46/0.66 (define @t96 () (=> @t95 @t93)) % 0.46/0.66 (define @t97 () (@list @t88)) % 0.46/0.66 (define @t98 () (forall @t97 @t96)) % 0.46/0.66 (define @t99 () (tptp.member @t2 @t86 @t77)) % 0.46/0.66 (define @t100 () (=> @t99 @t98)) % 0.46/0.66 (define @t101 () (@list @t86)) % 0.46/0.66 (define @t102 () (forall @t101 @t100)) % 0.46/0.66 (define @t103 () (@var "X10" $$unsorted)) % 0.46/0.66 (define @t104 () (and (tptp.fellow @t2 @t103) (tptp.young @t2 @t103))) % 0.46/0.66 (define @t105 () (tptp.member @t2 @t103 @t94)) % 0.46/0.66 (define @t106 () (@list @t103)) % 0.46/0.66 (define @t107 () (forall @t106 (=> @t105 @t104))) % 0.46/0.66 (define @t108 () (tptp.group @t2 @t94)) % 0.46/0.66 (define @t109 () (tptp.two @t2 @t94)) % 0.46/0.66 (define @t110 () (@var "X9" $$unsorted)) % 0.46/0.66 (define @t111 () (tptp.in @t2 @t110 @t55)) % 0.46/0.66 (define @t112 () (@var "X7" $$unsorted)) % 0.46/0.66 (define @t113 () (@var "X8" $$unsorted)) % 0.46/0.66 (define @t114 () (tptp.be @t2 @t113 @t112 @t110)) % 0.46/0.66 (define @t115 () (tptp.state @t2 @t113)) % 0.46/0.66 (define @t116 () (and @t115 @t114 @t111)) % 0.46/0.66 (define @t117 () (@list @t113 @t110)) % 0.46/0.66 (define @t118 () (exists @t117 @t116)) % 0.46/0.66 (define @t119 () (tptp.member @t2 @t112 @t94)) % 0.46/0.66 (define @t120 () (=> @t119 @t118)) % 0.46/0.66 (define @t121 () (@list @t112)) % 0.46/0.66 (define @t122 () (forall @t121 @t120)) % 0.46/0.66 (define @t123 () (@var "X1" $$unsorted)) % 0.46/0.66 (define @t124 () (@var "X2" $$unsorted)) % 0.46/0.66 (define @t125 () (tptp.in @t2 @t124 @t123)) % 0.46/0.66 (define @t126 () (tptp.down @t2 @t124 @t123)) % 0.46/0.66 (define @t127 () (tptp.barrel @t2 @t124)) % 0.46/0.66 (define @t128 () (tptp.present @t2 @t124)) % 0.46/0.66 (define @t129 () (tptp.agent @t2 @t124 @t63)) % 0.46/0.66 (define @t130 () (tptp.event @t2 @t124)) % 0.46/0.66 (define @t131 () (tptp.lonely @t2 @t123)) % 0.46/0.66 (define @t132 () (tptp.street @t2 @t123)) % 0.46/0.66 (define @t133 () (@var "Z" $$unsorted)) % 0.46/0.66 (define @t134 () (tptp.placename @t2 @t133)) % 0.46/0.66 (define @t135 () (tptp.hollywood_placename @t2 @t133)) % 0.46/0.66 (define @t136 () (tptp.city @t2 @t123)) % 0.46/0.66 (define @t137 () (tptp.of @t2 @t133 @t123)) % 0.46/0.66 (define @t138 () (tptp.old @t2 @t63)) % 0.46/0.66 (define @t139 () (tptp.dirty @t2 @t63)) % 0.46/0.66 (define @t140 () (tptp.white @t2 @t63)) % 0.46/0.66 (define @t141 () (tptp.chevy @t2 @t63)) % 0.46/0.66 (define @t142 () (tptp.frontseat @t2 @t55)) % 0.46/0.66 (define @t143 () (tptp.jules_forename @t2 @t57)) % 0.46/0.66 (define @t144 () (and @t60 @t27 @t143 @t61 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t122 @t109 @t108 @t107 @t102 @t81 @t80 @t74 @t73 @t72 @t70)) % 0.46/0.66 (define @t145 () (@list @t1 @t57 @t55 @t63 @t133 @t123 @t124 @t94 @t77 @t71 @t69)) % 0.46/0.66 (define @t146 () (exists @t145 @t144)) % 0.46/0.66 (define @t147 () (tptp.actual_world @t2)) % 0.46/0.66 (define @t148 () (and @t147 @t146)) % 0.46/0.66 (define @t149 () (exists @t66 @t148)) % 0.46/0.66 (define @t150 () (@var "BOUND_VARIABLE_8398" $$unsorted)) % 0.46/0.66 (define @t151 () (@var "BOUND_VARIABLE_8400" $$unsorted)) % 0.46/0.66 (define @t152 () (not (tptp.in @t2 @t151 @t150))) % 0.46/0.66 (define @t153 () (not (tptp.down @t2 @t151 @t150))) % 0.46/0.66 (define @t154 () (not (tptp.barrel @t2 @t151))) % 0.46/0.66 (define @t155 () (not (tptp.present @t2 @t151))) % 0.46/0.66 (define @t156 () (@var "BOUND_VARIABLE_8394" $$unsorted)) % 0.46/0.66 (define @t157 () (not (tptp.agent @t2 @t151 @t156))) % 0.46/0.66 (define @t158 () (not (tptp.event @t2 @t151))) % 0.46/0.66 (define @t159 () (not (tptp.old @t2 @t156))) % 0.46/0.66 (define @t160 () (not (tptp.dirty @t2 @t156))) % 0.46/0.66 (define @t161 () (not (tptp.white @t2 @t156))) % 0.46/0.66 (define @t162 () (not (tptp.chevy @t2 @t156))) % 0.46/0.66 (define @t163 () (not (tptp.lonely @t2 @t150))) % 0.46/0.66 (define @t164 () (not (tptp.street @t2 @t150))) % 0.46/0.66 (define @t165 () (@var "BOUND_VARIABLE_8396" $$unsorted)) % 0.46/0.66 (define @t166 () (not (tptp.placename @t2 @t165))) % 0.46/0.66 (define @t167 () (not (tptp.hollywood_placename @t2 @t165))) % 0.46/0.66 (define @t168 () (not (tptp.city @t2 @t150))) % 0.46/0.66 (define @t169 () (not (tptp.of @t2 @t165 @t150))) % 0.46/0.66 (define @t170 () (@var "BOUND_VARIABLE_8356" $$unsorted)) % 0.46/0.66 (define @t171 () (not (forall @t79 (or (not (tptp.member @t2 @t75 @t170)) @t76)))) % 0.46/0.66 (define @t172 () (not (tptp.group @t2 @t170))) % 0.46/0.66 (define @t173 () (not @t83)) % 0.46/0.66 (define @t174 () (not @t84)) % 0.46/0.66 (define @t175 () (not @t85)) % 0.46/0.66 (define @t176 () (not @t87)) % 0.46/0.66 (define @t177 () (@var "BOUND_VARIABLE_8254" $$unsorted)) % 0.46/0.66 (define @t178 () (not @t90)) % 0.46/0.66 (define @t179 () (not (forall @t92 (or @t178 (not (tptp.agent @t2 @t82 @t177)) @t176 @t175 @t174 @t173)))) % 0.46/0.66 (define @t180 () (@var "BOUND_VARIABLE_8354" $$unsorted)) % 0.46/0.66 (define @t181 () (@list @t86 @t177)) % 0.46/0.66 (define @t182 () (not (forall @t181 (or (not (tptp.member @t2 @t86 @t170)) (not (tptp.member @t2 @t177 @t180)) @t179)))) % 0.46/0.66 (define @t183 () (not (forall @t106 (or (not (tptp.member @t2 @t103 @t180)) @t104)))) % 0.46/0.66 (define @t184 () (not (tptp.group @t2 @t180))) % 0.46/0.66 (define @t185 () (not (tptp.two @t2 @t180))) % 0.46/0.66 (define @t186 () (@var "BOUND_VARIABLE_8352" $$unsorted)) % 0.46/0.66 (define @t187 () (not @t114)) % 0.46/0.66 (define @t188 () (not @t115)) % 0.46/0.66 (define @t189 () (not (forall @t121 (or (not (tptp.member @t2 @t112 @t180)) (not (forall @t117 (or @t188 @t187 (not (tptp.in @t2 @t110 @t186))))))))) % 0.46/0.66 (define @t190 () (not (tptp.frontseat @t2 @t186))) % 0.46/0.66 (define @t191 () (@var "BOUND_VARIABLE_8333" $$unsorted)) % 0.46/0.66 (define @t192 () (not (tptp.behind @t2 @t191 @t191))) % 0.46/0.66 (define @t193 () (@var "BOUND_VARIABLE_8327" $$unsorted)) % 0.46/0.66 (define @t194 () (@var "BOUND_VARIABLE_8331" $$unsorted)) % 0.46/0.66 (define @t195 () (not (tptp.be @t2 @t194 @t193 @t191))) % 0.46/0.66 (define @t196 () (not (tptp.wheel @t2 @t191))) % 0.46/0.66 (define @t197 () (not (tptp.state @t2 @t194))) % 0.46/0.66 (define @t198 () (@var "BOUND_VARIABLE_8329" $$unsorted)) % 0.46/0.66 (define @t199 () (not (tptp.forename @t2 @t198))) % 0.46/0.66 (define @t200 () (not (tptp.jules_forename @t2 @t198))) % 0.46/0.66 (define @t201 () (not (tptp.man @t2 @t193))) % 0.46/0.66 (define @t202 () (not (tptp.of @t2 @t198 @t193))) % 0.46/0.66 (define @t203 () (not @t147)) % 0.46/0.66 (define @t204 () (or @t203 @t202 @t201 @t200 @t199 @t197 @t196 @t195 @t192 @t190 @t189 @t185 @t184 @t183 @t182 @t172 @t171 @t169 @t168 @t167 @t166 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t155 @t154 @t153 @t152)) % 0.46/0.66 (define @t205 () (@list @t2 @t193 @t198 @t194 @t191 @t186 @t180 @t170 @t156 @t165 @t150 @t151)) % 0.46/0.66 (define @t206 () (forall @t205 @t204)) % 0.46/0.66 (define @t207 () (@quantifiers_skolemize @t206 4)) % 0.46/0.66 (define @t208 () (@quantifiers_skolemize @t206 0)) % 0.46/0.66 (define @t209 () (@list @t208 @t207)) % 0.46/0.66 (define @t210 () (or @t169 @t168 @t167 @t166 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t155 @t154 @t153 @t152)) % 0.46/0.66 (define @t211 () (or @t190 @t189 @t185 @t184 @t183 @t182 @t172 @t171)) % 0.46/0.66 (define @t212 () (or @t202 @t201 @t200 @t199 @t197 @t196 @t195 @t192)) % 0.46/0.66 (define @t213 () (or @t203 @t212 @t211 @t210)) % 0.46/0.66 (define @t214 () (forall @t205 @t213)) % 0.46/0.66 (define @t215 () (forall (@list @t193 @t198 @t194 @t191 @t186 @t180 @t170 @t156 @t165 @t150 @t151) @t213)) % 0.46/0.66 (define @t216 () (forall (@list @t156 @t165 @t150 @t151) @t210)) % 0.46/0.66 (define @t217 () (forall (@list @t186 @t180 @t170) @t211)) % 0.46/0.66 (define @t218 () (forall (@list @t193 @t198 @t194 @t191) @t212)) % 0.46/0.66 (define @t219 () (or @t203 @t218 @t217 @t216)) % 0.46/0.66 (define @t220 () (not @t125)) % 0.46/0.66 (define @t221 () (not @t126)) % 0.46/0.66 (define @t222 () (not @t127)) % 0.46/0.66 (define @t223 () (not @t128)) % 0.46/0.66 (define @t224 () (not @t129)) % 0.46/0.66 (define @t225 () (not @t130)) % 0.46/0.66 (define @t226 () (not @t138)) % 0.46/0.66 (define @t227 () (not @t139)) % 0.46/0.66 (define @t228 () (not @t140)) % 0.46/0.66 (define @t229 () (not @t141)) % 0.46/0.66 (define @t230 () (not @t131)) % 0.46/0.66 (define @t231 () (not @t132)) % 0.46/0.66 (define @t232 () (not @t134)) % 0.46/0.66 (define @t233 () (not @t135)) % 0.46/0.66 (define @t234 () (not @t136)) % 0.46/0.66 (define @t235 () (not @t137)) % 0.46/0.66 (define @t236 () (or @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t220)) % 0.46/0.66 (define @t237 () (forall (@list @t63 @t133 @t123 @t124) @t236)) % 0.46/0.66 (define @t238 () (forall @t79 (or (not @t78) @t76))) % 0.46/0.66 (define @t239 () (not @t238)) % 0.46/0.66 (define @t240 () (not @t81)) % 0.46/0.66 (define @t241 () (not (tptp.member @t2 @t177 @t94))) % 0.46/0.66 (define @t242 () (not @t99)) % 0.46/0.66 (define @t243 () (or @t242 @t241 @t179)) % 0.46/0.66 (define @t244 () (forall @t181 @t243)) % 0.46/0.66 (define @t245 () (not @t244)) % 0.46/0.66 (define @t246 () (forall @t106 (or (not @t105) @t104))) % 0.46/0.66 (define @t247 () (not @t246)) % 0.46/0.66 (define @t248 () (not @t108)) % 0.46/0.66 (define @t249 () (not @t109)) % 0.46/0.66 (define @t250 () (not @t111)) % 0.46/0.66 (define @t251 () (or @t188 @t187 @t250)) % 0.46/0.66 (define @t252 () (not (forall @t117 @t251))) % 0.46/0.66 (define @t253 () (forall @t121 (or (not @t119) @t252))) % 0.46/0.66 (define @t254 () (not @t253)) % 0.46/0.66 (define @t255 () (not @t142)) % 0.46/0.66 (define @t256 () (or @t255 @t254 @t249 @t248 @t247 @t245 @t240 @t239)) % 0.46/0.66 (define @t257 () (forall (@list @t55 @t94 @t77) @t256)) % 0.46/0.66 (define @t258 () (not @t70)) % 0.46/0.66 (define @t259 () (not @t72)) % 0.46/0.66 (define @t260 () (not @t74)) % 0.46/0.66 (define @t261 () (not @t73)) % 0.46/0.66 (define @t262 () (not @t61)) % 0.46/0.66 (define @t263 () (not @t143)) % 0.46/0.66 (define @t264 () (not @t27)) % 0.46/0.66 (define @t265 () (not @t60)) % 0.46/0.66 (define @t266 () (or @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258)) % 0.46/0.66 (define @t267 () (forall (@list @t1 @t57 @t71 @t69) @t266)) % 0.46/0.66 (define @t268 () (or @t203 @t267 @t257 @t237)) % 0.46/0.66 (define @t269 () (or @t267 @t257 @t237)) % 0.46/0.66 (define @t270 () (not @t269)) % 0.46/0.66 (define @t271 () (and @t147 @t270)) % 0.46/0.66 (define @t272 () (forall @t66 (not @t271))) % 0.46/0.66 (define @t273 () (not @t272)) % 0.46/0.66 (define @t274 () (or @t266 @t256 @t236)) % 0.46/0.66 (define @t275 () (@list @t1 @t57 @t71 @t69 @t55 @t94 @t77 @t63 @t133 @t123 @t124)) % 0.46/0.66 (define @t276 () (or @t265 @t264 @t263 @t262 @t255 @t229 @t228 @t227 @t226 @t235 @t234 @t233 @t232 @t231 @t230 @t225 @t224 @t223 @t222 @t221 @t220 @t254 @t249 @t248 @t247 @t245 @t240 @t239 @t260 @t261 @t259 @t258)) % 0.46/0.66 (define @t277 () (forall @t275 @t276)) % 0.46/0.66 (define @t278 () (and @t60 @t27 @t143 @t61 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70)) % 0.46/0.66 (define @t279 () (forall @t145 (not @t278))) % 0.46/0.66 (define @t280 () (not @t279)) % 0.46/0.66 (define @t281 () (or @t241 @t179)) % 0.46/0.66 (define @t282 () (or @t242 @t281)) % 0.46/0.66 (define @t283 () (forall @t181 @t282)) % 0.46/0.66 (define @t284 () (@list @t177)) % 0.46/0.66 (define @t285 () (forall @t284 @t282)) % 0.46/0.66 (define @t286 () (forall @t284 @t281)) % 0.46/0.66 (define @t287 () (or @t242 @t286)) % 0.46/0.66 (define @t288 () (not @t89)) % 0.46/0.66 (define @t289 () (or @t178 @t288 @t176 @t175 @t174 @t173)) % 0.46/0.66 (define @t290 () (not (forall @t92 @t289))) % 0.46/0.66 (define @t291 () (forall @t97 (or (not @t95) @t290))) % 0.46/0.66 (define @t292 () (forall @t92 (not @t91))) % 0.46/0.66 (define @t293 () (not @t292)) % 0.46/0.66 (define @t294 () (forall @t117 (not @t116))) % 0.46/0.66 (define @t295 () (not @t294)) % 0.46/0.66 (define @t296 () (tptp.wheel @t208 @t207)) % 0.46/0.66 (define @t297 () (@quantifiers_skolemize @t206 10)) % 0.46/0.66 (define @t298 () (@quantifiers_skolemize @t206 11)) % 0.46/0.66 (define @t299 () (@quantifiers_skolemize @t206 8)) % 0.46/0.66 (define @t300 () (@quantifiers_skolemize @t206 9)) % 0.46/0.66 (define @t301 () (@quantifiers_skolemize @t206 7)) % 0.46/0.66 (define @t302 () (@quantifiers_skolemize @t206 6)) % 0.46/0.66 (define @t303 () (@quantifiers_skolemize @t206 5)) % 0.46/0.66 (define @t304 () (@quantifiers_skolemize @t206 1)) % 0.46/0.66 (define @t305 () (@quantifiers_skolemize @t206 3)) % 0.46/0.66 (define @t306 () (tptp.be @t208 @t305 @t304 @t207)) % 0.46/0.66 (define @t307 () (not @t306)) % 0.46/0.66 (define @t308 () (not @t296)) % 0.46/0.66 (define @t309 () (@quantifiers_skolemize @t206 2)) % 0.46/0.66 (define @t310 () (tptp.man @t208 @t304)) % 0.46/0.66 (define @t311 () (not @t310)) % 0.46/0.66 (define @t312 () (or (not (tptp.actual_world @t208)) (not (tptp.of @t208 @t309 @t304)) @t311 (not (tptp.jules_forename @t208 @t309)) (not (tptp.forename @t208 @t309)) (not (tptp.state @t208 @t305)) @t308 @t307 (not (tptp.behind @t208 @t207 @t207)) (not (tptp.frontseat @t208 @t303)) (not (forall @t121 (or (not (tptp.member @t208 @t112 @t302)) (not (forall @t117 (or (not (tptp.state @t208 @t113)) (not (tptp.be @t208 @t113 @t112 @t110)) (not (tptp.in @t208 @t110 @t303)))))))) (not (tptp.two @t208 @t302)) (not (tptp.group @t208 @t302)) (not (forall @t106 (or (not (tptp.member @t208 @t103 @t302)) (and (tptp.fellow @t208 @t103) (tptp.young @t208 @t103))))) (not (forall @t181 (or (not (tptp.member @t208 @t86 @t301)) (not (tptp.member @t208 @t177 @t302)) (not (forall @t92 (or (not (tptp.event @t208 @t82)) (not (tptp.agent @t208 @t82 @t177)) (not (tptp.patient @t208 @t82 @t86)) (not (tptp.present @t208 @t82)) (not (tptp.nonreflexive @t208 @t82)) (not (tptp.wear @t208 @t82)))))))) (not (tptp.group @t208 @t301)) (not (forall @t79 (or (not (tptp.member @t208 @t75 @t301)) (and (tptp.coat @t208 @t75) (tptp.black @t208 @t75) (tptp.cheap @t208 @t75))))) (not (tptp.of @t208 @t300 @t297)) (not (tptp.city @t208 @t297)) (not (tptp.hollywood_placename @t208 @t300)) (not (tptp.placename @t208 @t300)) (not (tptp.street @t208 @t297)) (not (tptp.lonely @t208 @t297)) (not (tptp.chevy @t208 @t299)) (not (tptp.white @t208 @t299)) (not (tptp.dirty @t208 @t299)) (not (tptp.old @t208 @t299)) (not (tptp.event @t208 @t298)) (not (tptp.agent @t208 @t298 @t299)) (not (tptp.present @t208 @t298)) (not (tptp.barrel @t208 @t298)) (not (tptp.down @t208 @t298 @t297)) (not (tptp.in @t208 @t298 @t297)))) % 0.46/0.66 (define @t313 () (@list true)) % 0.46/0.66 (define @t314 () (@list @t312)) % 0.46/0.66 (define @t315 () (tptp.device @t208 @t207)) % 0.46/0.66 (define @t316 () (or @t308 @t315)) % 0.46/0.66 (define @t317 () (@list false false)) % 0.46/0.66 (define @t318 () (tptp.instrumentality @t208 @t207)) % 0.46/0.66 (define @t319 () (not @t315)) % 0.46/0.66 (define @t320 () (or @t319 @t318)) % 0.46/0.66 (define @t321 () (tptp.artifact @t208 @t207)) % 0.46/0.66 (define @t322 () (not @t318)) % 0.46/0.66 (define @t323 () (or @t322 @t321)) % 0.46/0.66 (define @t324 () (tptp.object @t208 @t207)) % 0.46/0.66 (define @t325 () (not @t321)) % 0.46/0.66 (define @t326 () (or @t325 @t324)) % 0.46/0.66 (define @t327 () (= @t304 @t207)) % 0.46/0.66 (define @t328 () (or @t307 @t327)) % 0.46/0.66 (define @t329 () (tptp.object @t208 @t304)) % 0.46/0.66 (define @t330 () (@list @t208 @t304)) % 0.46/0.66 (define @t331 () (tptp.male @t208 @t304)) % 0.46/0.66 (define @t332 () (or @t311 @t331)) % 0.46/0.66 (define @t333 () (not @t331)) % 0.46/0.66 (define @t334 () (tptp.unisex @t208 @t304)) % 0.46/0.66 (define @t335 () (not @t334)) % 0.46/0.66 (define @t336 () (or @t335 @t333)) % 0.46/0.66 (define @t337 () (not @t329)) % 0.46/0.66 (define @t338 () (or @t337 @t334)) % 0.46/0.66 (assume @p1 (forall @t4 (=> (tptp.jules_forename @t2 @t1) @t3))) % 0.46/0.66 (assume @p2 (forall @t4 (=> @t3 @t5))) % 0.46/0.66 (assume @p3 (forall @t4 (=> @t7 @t6))) % 0.46/0.66 (assume @p4 (forall @t4 (=> @t8 @t7))) % 0.46/0.66 (assume @p5 (forall @t4 (=> (tptp.frontseat @t2 @t1) @t8))) % 0.46/0.66 (assume @p6 (forall @t4 (=> @t10 @t9))) % 0.46/0.66 (assume @p7 (forall @t4 (=> (tptp.city @t2 @t1) @t10))) % 0.46/0.66 (assume @p8 (forall @t4 (=> (tptp.hollywood_placename @t2 @t1) @t11))) % 0.46/0.66 (assume @p9 (forall @t4 (=> @t13 @t12))) % 0.46/0.66 (assume @p10 (forall @t4 (=> @t13 @t14))) % 0.46/0.66 (assume @p11 (forall @t4 (=> @t13 @t15))) % 0.46/0.66 (assume @p12 (forall @t4 (=> @t13 @t16))) % 0.46/0.66 (assume @p13 (forall @t4 (=> @t17 @t13))) % 0.46/0.66 (assume @p14 (forall @t4 (=> @t5 @t17))) % 0.46/0.66 (assume @p15 (forall @t4 (=> @t11 @t5))) % 0.46/0.66 (assume @p16 (forall @t4 (=> @t18 @t6))) % 0.46/0.66 (assume @p17 (forall @t4 (=> @t19 @t18))) % 0.46/0.66 (assume @p18 (forall @t4 (=> @t20 @t19))) % 0.46/0.66 (assume @p19 (forall @t4 (=> (tptp.chevy @t2 @t1) @t20))) % 0.46/0.66 (assume @p20 (forall @t4 (=> @t22 @t21))) % 0.46/0.66 (assume @p21 (forall @t4 (=> (tptp.street @t2 @t1) @t22))) % 0.46/0.66 (assume @p22 (forall @t4 (=> (tptp.barrel @t2 @t1) @t23))) % 0.46/0.66 (assume @p23 (forall @t4 (=> @t25 @t24))) % 0.46/0.66 (assume @p24 @t28) % 0.46/0.66 (assume @p25 (forall @t4 (=> @t30 @t29))) % 0.46/0.66 (assume @p26 (forall @t4 (=> @t30 @t31))) % 0.46/0.66 (assume @p27 (forall @t4 (=> @t33 @t32))) % 0.46/0.66 (assume @p28 (forall @t4 (=> @t33 @t34))) % 0.46/0.66 (assume @p29 (forall @t4 (=> @t33 @t35))) % 0.46/0.66 (assume @p30 (forall @t4 (=> @t30 @t33))) % 0.46/0.66 (assume @p31 (forall @t4 (=> @t27 @t30))) % 0.46/0.66 (assume @p32 (forall @t4 (=> (tptp.fellow @t2 @t1) @t27))) % 0.46/0.66 (assume @p33 (forall @t4 (=> (tptp.wear @t2 @t1) @t23))) % 0.46/0.66 (assume @p34 (forall @t4 (=> @t37 @t36))) % 0.46/0.66 (assume @p35 (forall @t4 (=> @t24 @t37))) % 0.46/0.66 (assume @p36 (forall @t4 (=> @t38 @t21))) % 0.46/0.66 (assume @p37 (forall @t4 (=> (tptp.coat @t2 @t1) @t38))) % 0.46/0.66 (assume @p38 @t39) % 0.46/0.66 (assume @p39 (forall @t4 (=> @t9 @t34))) % 0.46/0.66 (assume @p40 (forall @t4 (=> @t9 @t40))) % 0.46/0.66 (assume @p41 (forall @t4 (=> @t35 @t41))) % 0.46/0.66 (assume @p42 (forall @t4 (=> @t35 @t42))) % 0.46/0.66 (assume @p43 (forall @t4 (=> @t35 @t16))) % 0.46/0.66 (assume @p44 (forall @t4 (=> @t9 @t35))) % 0.46/0.66 (assume @p45 @t43) % 0.46/0.66 (assume @p46 @t44) % 0.46/0.66 (assume @p47 @t46) % 0.46/0.66 (assume @p48 @t48) % 0.46/0.66 (assume @p49 (forall @t4 (=> @t23 @t49))) % 0.46/0.66 (assume @p50 (forall @t4 (=> @t50 @t23))) % 0.46/0.66 (assume @p51 (forall @t4 (=> @t49 @t12))) % 0.46/0.66 (assume @p52 (forall @t4 (=> @t49 @t51))) % 0.46/0.66 (assume @p53 (forall @t4 (=> @t49 @t42))) % 0.46/0.66 (assume @p54 (forall @t4 (=> @t16 @t52))) % 0.46/0.66 (assume @p55 (forall @t4 (=> @t49 @t16))) % 0.46/0.66 (assume @p56 (forall @t4 (=> @t50 @t49))) % 0.46/0.66 (assume @p57 (forall @t4 (=> @t29 (not @t40)))) % 0.46/0.66 (assume @p58 (forall @t4 (=> @t41 (not @t51)))) % 0.46/0.66 (assume @p59 (forall @t4 (=> @t15 (not @t31)))) % 0.46/0.66 (assume @p60 (forall @t4 (=> @t40 (not @t32)))) % 0.46/0.66 (assume @p61 (forall @t4 (=> @t52 (not @t36)))) % 0.46/0.66 (assume @p62 (forall @t4 (=> @t42 (not @t14)))) % 0.46/0.66 (assume @p63 @t54) % 0.46/0.66 (assume @p64 (forall @t4 (=> (tptp.white @t2 @t1) (not (tptp.black @t2 @t1))))) % 0.46/0.66 (assume @p65 (forall @t4 (=> (tptp.young @t2 @t1) (not (tptp.old @t2 @t1))))) % 0.46/0.66 (assume @p66 (forall @t62 (=> (and @t35 @t61 @t60) (not (exists @t59 (and (tptp.forename @t2 @t55) @t58 @t56)))))) % 0.46/0.66 (assume @p67 (forall @t62 (=> (and @t35 (tptp.placename @t2 @t57) @t60) (not (exists @t59 (and (tptp.placename @t2 @t55) @t58 @t56)))))) % 0.46/0.66 (assume @p68 (forall @t4 (= @t25 (exists (@list @t57) (and (tptp.member @t2 @t57 @t1) (exists @t59 (and (tptp.member @t2 @t55 @t1) @t58 (forall (@list @t63) (=> (tptp.member @t2 @t63 @t1) (or (= @t63 @t55) (= @t63 @t57))))))))))) % 0.46/0.66 (assume @p69 (forall @t65 (=> (and (tptp.nonreflexive @t2 @t1) (tptp.agent @t2 @t1 @t57) (tptp.patient @t2 @t1 @t55)) (not @t64)))) % 0.46/0.66 (assume @p70 (forall @t66 (not (exists (@list @t1) (tptp.member @t2 @t1 @t1))))) % 0.46/0.66 (assume @p71 @t68) % 0.46/0.66 (assume @p72 (not (not @t149))) % 0.46/0.66 (assume @p73 true) % 0.46/0.66 (step @p74 :rule evaluate :args ((= false true))) % 0.46/0.66 (step @p75 :rule bool-impl-elim :args (@t21 @t9)) % 0.46/0.66 (step @p76 :rule cong :premises (@p75) :args (@t43)) % 0.46/0.66 (step @p77 :rule eq_resolve :premises (@p45 @p76)) % 0.46/0.66 (step @p78 :rule instantiate :premises (@p77) :args (@t209)) % 0.46/0.66 (step @p79 :rule bool-impl-elim :args (@t6 @t21)) % 0.46/0.66 (step @p80 :rule cong :premises (@p79) :args (@t44)) % 0.46/0.66 (step @p81 :rule eq_resolve :premises (@p46 @p80)) % 0.46/0.66 (step @p82 :rule instantiate :premises (@p81) :args (@t209)) % 0.46/0.66 (step @p83 :rule bool-impl-elim :args (@t45 @t6)) % 0.46/0.66 (step @p84 :rule cong :premises (@p83) :args (@t46)) % 0.46/0.66 (step @p85 :rule eq_resolve :premises (@p47 @p84)) % 0.46/0.66 (step @p86 :rule instantiate :premises (@p85) :args (@t209)) % 0.46/0.66 (step @p87 :rule bool-impl-elim :args (@t47 @t45)) % 0.46/0.66 (step @p88 :rule cong :premises (@p87) :args (@t48)) % 0.46/0.66 (step @p89 :rule eq_resolve :premises (@p48 @p88)) % 0.46/0.66 (step @p90 :rule instantiate :premises (@p89) :args (@t209)) % 0.46/0.66 (step @p91 :rule aci_norm :args ((= @t213 @t204))) % 0.46/0.66 (step @p92 :rule cong :premises (@p91) :args (@t214)) % 0.46/0.66 (step @p93 :rule quant-merge-prenex :args ((= (forall @t66 @t215) @t214))) % 0.46/0.66 (step @p94 :rule alpha_equiv :args (@t216 (@list @t156 @t165 @t150 @t151) (@list @t63 @t133 @t123 @t124))) % 0.46/0.66 (step @p95 :rule alpha_equiv :args (@t217 (@list @t186 @t180 @t170) (@list @t55 @t94 @t77))) % 0.46/0.66 (step @p96 :rule alpha_equiv :args (@t218 (@list @t193 @t198 @t194 @t191) (@list @t1 @t57 @t71 @t69))) % 0.46/0.66 (step @p97 :rule refl :args (@t203)) % 0.46/0.66 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94) :args (@t219)) % 0.46/0.66 (step @p99 :rule quant-miniscope-or :args ((= @t215 @t219))) % 0.46/0.66 (step @p100 :rule trans :premises (@p99 @p98)) % 0.46/0.66 (step @p101 :rule symm :premises (@p100)) % 0.46/0.66 (step @p102 :rule cong :premises (@p101) :args ((forall @t66 @t268))) % 0.46/0.66 (step @p103 :rule trans :premises (@p102 @p93)) % 0.46/0.66 (step @p104 :rule trans :premises (@p103 @p92)) % 0.46/0.66 (step @p105 :rule aci_norm :args ((= (or @t203 @t269) @t268))) % 0.46/0.66 (step @p106 :rule bool-double-not-elim :args (@t269)) % 0.46/0.66 (step @p107 :rule nary_cong :premises (@p97 @p106) :args ((or @t203 (not @t270)))) % 0.46/0.66 (step @p108 :rule bool-and-de-morgan :args (@t147 @t270 true)) % 0.46/0.66 (step @p109 :rule trans :premises (@p108 @p107)) % 0.46/0.66 (step @p110 :rule trans :premises (@p109 @p105)) % 0.46/0.66 (step @p111 :rule cong :premises (@p110) :args (@t272)) % 0.46/0.66 (step @p112 :rule trans :premises (@p111 @p104)) % 0.46/0.66 (step @p113 :rule cong :premises (@p112) :args (@t273)) % 0.46/0.66 (step @p114 :rule exists-elim :args ((= (exists @t66 @t271) @t273))) % 0.46/0.66 (step @p115 :rule trans :premises (@p114 @p113)) % 0.46/0.66 (step @p116 :rule quant-miniscope-or :args ((= (forall @t275 @t274) @t269))) % 0.46/0.66 (step @p117 :rule aci_norm :args ((= @t276 @t274))) % 0.46/0.66 (step @p118 :rule cong :premises (@p117) :args (@t277)) % 0.46/0.66 (step @p119 :rule quant_var_reordering :args ((= (forall @t145 @t276) @t277))) % 0.46/0.66 (step @p120 :rule trans :premises (@p119 @p118 @p116)) % 0.46/0.66 (step @p121 :rule aci_norm :args ((= (or @t265 (or @t264 (or @t263 (or @t262 (or @t255 (or @t229 (or @t228 (or @t227 (or @t226 (or @t235 (or @t234 (or @t233 (or @t232 (or @t231 (or @t230 (or @t225 (or @t224 (or @t223 (or @t222 (or @t221 (or @t220 (or @t254 (or @t249 (or @t248 (or @t247 (or @t245 (or @t240 (or @t239 (or @t260 (or @t261 (or @t259 @t258))))))))))))))))))))))))))))))) @t276))) % 0.46/0.66 (step @p122 :rule bool-and-de-morgan :args (@t72 @t70 true)) % 0.46/0.66 (step @p123 :rule refl :args (@t261)) % 0.46/0.66 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t261 (not (and @t72 @t70))))) % 0.46/0.66 (step @p125 :rule bool-and-de-morgan :args (@t73 @t72 (and @t70))) % 0.46/0.66 (step @p126 :rule trans :premises (@p125 @p124)) % 0.46/0.66 (step @p127 :rule refl :args (@t260)) % 0.46/0.66 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t260 (not (and @t73 @t72 @t70))))) % 0.46/0.66 (step @p129 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72 @t70))) % 0.46/0.66 (step @p130 :rule trans :premises (@p129 @p128)) % 0.46/0.66 (step @p131 :rule refl :args (@t239)) % 0.46/0.66 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t239 (not (and @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p133 :rule bool-and-de-morgan :args (@t238 @t74 (and @t73 @t72 @t70))) % 0.46/0.66 (step @p134 :rule trans :premises (@p133 @p132)) % 0.46/0.66 (step @p135 :rule refl :args (@t240)) % 0.46/0.66 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t240 (not (and @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p137 :rule bool-and-de-morgan :args (@t81 @t238 (and @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p138 :rule trans :premises (@p137 @p136)) % 0.46/0.66 (step @p139 :rule refl :args (@t245)) % 0.46/0.66 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t245 (not (and @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p141 :rule bool-and-de-morgan :args (@t244 @t81 (and @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p142 :rule trans :premises (@p141 @p140)) % 0.46/0.66 (step @p143 :rule refl :args (@t247)) % 0.46/0.66 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t247 (not (and @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p145 :rule bool-and-de-morgan :args (@t246 @t244 (and @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p146 :rule trans :premises (@p145 @p144)) % 0.46/0.66 (step @p147 :rule refl :args (@t248)) % 0.46/0.66 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t248 (not (and @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p149 :rule bool-and-de-morgan :args (@t108 @t246 (and @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p150 :rule trans :premises (@p149 @p148)) % 0.46/0.66 (step @p151 :rule refl :args (@t249)) % 0.46/0.66 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t249 (not (and @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p153 :rule bool-and-de-morgan :args (@t109 @t108 (and @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p154 :rule trans :premises (@p153 @p152)) % 0.46/0.66 (step @p155 :rule refl :args (@t254)) % 0.46/0.66 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t254 (not (and @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p157 :rule bool-and-de-morgan :args (@t253 @t109 (and @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p158 :rule trans :premises (@p157 @p156)) % 0.46/0.66 (step @p159 :rule refl :args (@t220)) % 0.46/0.66 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t220 (not (and @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p161 :rule bool-and-de-morgan :args (@t125 @t253 (and @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p162 :rule trans :premises (@p161 @p160)) % 0.46/0.66 (step @p163 :rule refl :args (@t221)) % 0.46/0.66 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t221 (not (and @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p165 :rule bool-and-de-morgan :args (@t126 @t125 (and @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p166 :rule trans :premises (@p165 @p164)) % 0.46/0.66 (step @p167 :rule refl :args (@t222)) % 0.46/0.66 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t222 (not (and @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p169 :rule bool-and-de-morgan :args (@t127 @t126 (and @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p170 :rule trans :premises (@p169 @p168)) % 0.46/0.66 (step @p171 :rule refl :args (@t223)) % 0.46/0.66 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t223 (not (and @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.66 (step @p173 :rule bool-and-de-morgan :args (@t128 @t127 (and @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.66 (step @p174 :rule trans :premises (@p173 @p172)) % 0.46/0.66 (step @p175 :rule refl :args (@t224)) % 0.46/0.66 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t224 (not (and @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p177 :rule bool-and-de-morgan :args (@t129 @t128 (and @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p178 :rule trans :premises (@p177 @p176)) % 0.46/0.67 (step @p179 :rule refl :args (@t225)) % 0.46/0.67 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t225 (not (and @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p181 :rule bool-and-de-morgan :args (@t130 @t129 (and @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p182 :rule trans :premises (@p181 @p180)) % 0.46/0.67 (step @p183 :rule refl :args (@t230)) % 0.46/0.67 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t230 (not (and @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p185 :rule bool-and-de-morgan :args (@t131 @t130 (and @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p186 :rule trans :premises (@p185 @p184)) % 0.46/0.67 (step @p187 :rule refl :args (@t231)) % 0.46/0.67 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t231 (not (and @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p189 :rule bool-and-de-morgan :args (@t132 @t131 (and @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p190 :rule trans :premises (@p189 @p188)) % 0.46/0.67 (step @p191 :rule refl :args (@t232)) % 0.46/0.67 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t232 (not (and @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p193 :rule bool-and-de-morgan :args (@t134 @t132 (and @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p194 :rule trans :premises (@p193 @p192)) % 0.46/0.67 (step @p195 :rule refl :args (@t233)) % 0.46/0.67 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or @t233 (not (and @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p197 :rule bool-and-de-morgan :args (@t135 @t134 (and @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p198 :rule trans :premises (@p197 @p196)) % 0.46/0.67 (step @p199 :rule refl :args (@t234)) % 0.46/0.67 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or @t234 (not (and @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p201 :rule bool-and-de-morgan :args (@t136 @t135 (and @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p202 :rule trans :premises (@p201 @p200)) % 0.46/0.67 (step @p203 :rule refl :args (@t235)) % 0.46/0.67 (step @p204 :rule nary_cong :premises (@p203 @p202) :args ((or @t235 (not (and @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p205 :rule bool-and-de-morgan :args (@t137 @t136 (and @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p206 :rule trans :premises (@p205 @p204)) % 0.46/0.67 (step @p207 :rule refl :args (@t226)) % 0.46/0.67 (step @p208 :rule nary_cong :premises (@p207 @p206) :args ((or @t226 (not (and @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p209 :rule bool-and-de-morgan :args (@t138 @t137 (and @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p210 :rule trans :premises (@p209 @p208)) % 0.46/0.67 (step @p211 :rule refl :args (@t227)) % 0.46/0.67 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t227 (not (and @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p213 :rule bool-and-de-morgan :args (@t139 @t138 (and @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p214 :rule trans :premises (@p213 @p212)) % 0.46/0.67 (step @p215 :rule refl :args (@t228)) % 0.46/0.67 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or @t228 (not (and @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p217 :rule bool-and-de-morgan :args (@t140 @t139 (and @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p218 :rule trans :premises (@p217 @p216)) % 0.46/0.67 (step @p219 :rule refl :args (@t229)) % 0.46/0.67 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t229 (not (and @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p221 :rule bool-and-de-morgan :args (@t141 @t140 (and @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p222 :rule trans :premises (@p221 @p220)) % 0.46/0.67 (step @p223 :rule refl :args (@t255)) % 0.46/0.67 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t255 (not (and @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p225 :rule bool-and-de-morgan :args (@t142 @t141 (and @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p226 :rule trans :premises (@p225 @p224)) % 0.46/0.67 (step @p227 :rule refl :args (@t262)) % 0.46/0.67 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t262 (not (and @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p229 :rule bool-and-de-morgan :args (@t61 @t142 (and @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p230 :rule trans :premises (@p229 @p228)) % 0.46/0.67 (step @p231 :rule refl :args (@t263)) % 0.46/0.67 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t263 (not (and @t61 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p233 :rule bool-and-de-morgan :args (@t143 @t61 (and @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p234 :rule trans :premises (@p233 @p232)) % 0.46/0.67 (step @p235 :rule refl :args (@t264)) % 0.46/0.67 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t264 (not (and @t143 @t61 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p237 :rule bool-and-de-morgan :args (@t27 @t143 (and @t61 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p238 :rule trans :premises (@p237 @p236)) % 0.46/0.67 (step @p239 :rule refl :args (@t265)) % 0.46/0.67 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t265 (not (and @t27 @t143 @t61 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))))) % 0.46/0.67 (step @p241 :rule bool-and-de-morgan :args (@t60 @t27 (and @t143 @t61 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t253 @t109 @t108 @t246 @t244 @t81 @t238 @t74 @t73 @t72 @t70))) % 0.46/0.67 (step @p242 :rule trans :premises (@p241 @p240)) % 0.46/0.67 (step @p243 :rule trans :premises (@p242 @p121)) % 0.46/0.67 (step @p244 :rule cong :premises (@p243) :args (@t279)) % 0.46/0.67 (step @p245 :rule trans :premises (@p244 @p120)) % 0.46/0.67 (step @p246 :rule cong :premises (@p245) :args (@t280)) % 0.46/0.67 (step @p247 :rule exists-elim :args ((= (exists @t145 @t278) @t280))) % 0.46/0.67 (step @p248 :rule trans :premises (@p247 @p246)) % 0.46/0.67 (step @p249 :rule refl :args (@t70)) % 0.46/0.67 (step @p250 :rule refl :args (@t72)) % 0.46/0.67 (step @p251 :rule refl :args (@t73)) % 0.46/0.67 (step @p252 :rule refl :args (@t74)) % 0.46/0.67 (step @p253 :rule bool-impl-elim :args (@t78 @t76)) % 0.46/0.67 (step @p254 :rule cong :premises (@p253) :args (@t80)) % 0.46/0.67 (step @p255 :rule refl :args (@t81)) % 0.46/0.67 (step @p256 :rule aci_norm :args ((= @t282 @t243))) % 0.46/0.67 (step @p257 :rule cong :premises (@p256) :args (@t283)) % 0.46/0.67 (step @p258 :rule quant-merge-prenex :args ((= (forall @t101 @t285) @t283))) % 0.46/0.67 (step @p259 :rule alpha_equiv :args (@t286 (@list @t177) (@list @t88))) % 0.46/0.67 (step @p260 :rule refl :args (@t242)) % 0.46/0.67 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t287)) % 0.46/0.67 (step @p262 :rule quant-miniscope-or :args ((= @t285 @t287))) % 0.46/0.67 (step @p263 :rule trans :premises (@p262 @p261)) % 0.46/0.67 (step @p264 :rule symm :premises (@p263)) % 0.46/0.67 (step @p265 :rule cong :premises (@p264) :args ((forall @t101 (or @t242 @t291)))) % 0.46/0.67 (step @p266 :rule trans :premises (@p265 @p258)) % 0.46/0.67 (step @p267 :rule trans :premises (@p266 @p257)) % 0.46/0.67 (step @p268 :rule bool-impl-elim :args (@t99 @t291)) % 0.46/0.67 (step @p269 :rule cong :premises (@p268) :args ((forall @t101 (=> @t99 @t291)))) % 0.46/0.67 (step @p270 :rule trans :premises (@p269 @p267)) % 0.46/0.67 (step @p271 :rule bool-impl-elim :args (@t95 @t290)) % 0.46/0.67 (step @p272 :rule cong :premises (@p271) :args ((forall @t97 (=> @t95 @t290)))) % 0.46/0.67 (step @p273 :rule aci_norm :args ((= (or @t178 (or @t288 (or @t176 (or @t175 (or @t174 @t173))))) @t289))) % 0.46/0.67 (step @p274 :rule bool-and-de-morgan :args (@t84 @t83 true)) % 0.46/0.67 (step @p275 :rule refl :args (@t175)) % 0.46/0.67 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t175 (not (and @t84 @t83))))) % 0.46/0.67 (step @p277 :rule bool-and-de-morgan :args (@t85 @t84 (and @t83))) % 0.46/0.67 (step @p278 :rule trans :premises (@p277 @p276)) % 0.46/0.67 (step @p279 :rule refl :args (@t176)) % 0.46/0.67 (step @p280 :rule nary_cong :premises (@p279 @p278) :args ((or @t176 (not (and @t85 @t84 @t83))))) % 0.46/0.67 (step @p281 :rule bool-and-de-morgan :args (@t87 @t85 (and @t84 @t83))) % 0.46/0.67 (step @p282 :rule trans :premises (@p281 @p280)) % 0.46/0.67 (step @p283 :rule refl :args (@t288)) % 0.46/0.67 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or @t288 (not (and @t87 @t85 @t84 @t83))))) % 0.46/0.67 (step @p285 :rule bool-and-de-morgan :args (@t89 @t87 (and @t85 @t84 @t83))) % 0.46/0.67 (step @p286 :rule trans :premises (@p285 @p284)) % 0.46/0.67 (step @p287 :rule refl :args (@t178)) % 0.46/0.67 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t178 (not (and @t89 @t87 @t85 @t84 @t83))))) % 0.46/0.67 (step @p289 :rule bool-and-de-morgan :args (@t90 @t89 (and @t87 @t85 @t84 @t83))) % 0.46/0.67 (step @p290 :rule trans :premises (@p289 @p288)) % 0.46/0.67 (step @p291 :rule trans :premises (@p290 @p273)) % 0.46/0.67 (step @p292 :rule cong :premises (@p291) :args (@t292)) % 0.46/0.67 (step @p293 :rule cong :premises (@p292) :args (@t293)) % 0.46/0.67 (step @p294 :rule exists-elim :args ((= @t93 @t293))) % 0.46/0.67 (step @p295 :rule trans :premises (@p294 @p293)) % 0.46/0.67 (step @p296 :rule refl :args (@t95)) % 0.46/0.67 (step @p297 :rule cong :premises (@p296 @p295) :args (@t96)) % 0.46/0.67 (step @p298 :rule cong :premises (@p297) :args (@t98)) % 0.46/0.67 (step @p299 :rule trans :premises (@p298 @p272)) % 0.46/0.67 (step @p300 :rule refl :args (@t99)) % 0.46/0.67 (step @p301 :rule cong :premises (@p300 @p299) :args (@t100)) % 0.46/0.67 (step @p302 :rule cong :premises (@p301) :args (@t102)) % 0.46/0.67 (step @p303 :rule trans :premises (@p302 @p270)) % 0.46/0.67 (step @p304 :rule bool-impl-elim :args (@t105 @t104)) % 0.46/0.67 (step @p305 :rule cong :premises (@p304) :args (@t107)) % 0.46/0.67 (step @p306 :rule refl :args (@t108)) % 0.46/0.67 (step @p307 :rule refl :args (@t109)) % 0.46/0.67 (step @p308 :rule bool-impl-elim :args (@t119 @t252)) % 0.46/0.67 (step @p309 :rule cong :premises (@p308) :args ((forall @t121 (=> @t119 @t252)))) % 0.46/0.67 (step @p310 :rule aci_norm :args ((= (or @t188 (or @t187 @t250)) @t251))) % 0.46/0.67 (step @p311 :rule bool-and-de-morgan :args (@t114 @t111 true)) % 0.46/0.67 (step @p312 :rule refl :args (@t188)) % 0.46/0.67 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t188 (not (and @t114 @t111))))) % 0.46/0.67 (step @p314 :rule bool-and-de-morgan :args (@t115 @t114 (and @t111))) % 0.46/0.67 (step @p315 :rule trans :premises (@p314 @p313)) % 0.46/0.67 (step @p316 :rule trans :premises (@p315 @p310)) % 0.46/0.67 (step @p317 :rule cong :premises (@p316) :args (@t294)) % 0.46/0.67 (step @p318 :rule cong :premises (@p317) :args (@t295)) % 0.46/0.67 (step @p319 :rule exists-elim :args ((= @t118 @t295))) % 0.46/0.67 (step @p320 :rule trans :premises (@p319 @p318)) % 0.46/0.67 (step @p321 :rule refl :args (@t119)) % 0.46/0.67 (step @p322 :rule cong :premises (@p321 @p320) :args (@t120)) % 0.46/0.67 (step @p323 :rule cong :premises (@p322) :args (@t122)) % 0.46/0.67 (step @p324 :rule trans :premises (@p323 @p309)) % 0.46/0.67 (step @p325 :rule refl :args (@t125)) % 0.46/0.67 (step @p326 :rule refl :args (@t126)) % 0.46/0.67 (step @p327 :rule refl :args (@t127)) % 0.46/0.67 (step @p328 :rule refl :args (@t128)) % 0.46/0.67 (step @p329 :rule refl :args (@t129)) % 0.46/0.67 (step @p330 :rule refl :args (@t130)) % 0.46/0.67 (step @p331 :rule refl :args (@t131)) % 0.46/0.67 (step @p332 :rule refl :args (@t132)) % 0.46/0.67 (step @p333 :rule refl :args (@t134)) % 0.46/0.67 (step @p334 :rule refl :args (@t135)) % 0.46/0.67 (step @p335 :rule refl :args (@t136)) % 0.46/0.67 (step @p336 :rule refl :args (@t137)) % 0.46/0.67 (step @p337 :rule refl :args (@t138)) % 0.46/0.67 (step @p338 :rule refl :args (@t139)) % 0.46/0.67 (step @p339 :rule refl :args (@t140)) % 0.46/0.67 (step @p340 :rule refl :args (@t141)) % 0.46/0.67 (step @p341 :rule refl :args (@t142)) % 0.46/0.67 (step @p342 :rule refl :args (@t61)) % 0.46/0.67 (step @p343 :rule refl :args (@t143)) % 0.46/0.67 (step @p344 :rule refl :args (@t27)) % 0.46/0.67 (step @p345 :rule refl :args (@t60)) % 0.46/0.67 (step @p346 :rule nary_cong :premises (@p345 @p344 @p343 @p342 @p341 @p340 @p339 @p338 @p337 @p336 @p335 @p334 @p333 @p332 @p331 @p330 @p329 @p328 @p327 @p326 @p325 @p324 @p307 @p306 @p305 @p303 @p255 @p254 @p252 @p251 @p250 @p249) :args (@t144)) % 0.46/0.67 (step @p347 :rule cong :premises (@p346) :args (@t146)) % 0.46/0.67 (step @p348 :rule trans :premises (@p347 @p248)) % 0.46/0.67 (step @p349 :rule refl :args (@t147)) % 0.46/0.67 (step @p350 :rule nary_cong :premises (@p349 @p348) :args (@t148)) % 0.46/0.67 (step @p351 :rule cong :premises (@p350) :args (@t149)) % 0.46/0.67 (step @p352 :rule trans :premises (@p351 @p115)) % 0.46/0.67 (step @p353 :rule bool-double-not-elim :args (@t149)) % 0.46/0.67 (step @p354 :rule trans :premises (@p353 @p352)) % 0.46/0.67 (step @p355 :rule eq_resolve :premises (@p72 @p354)) % 0.46/0.67 (step @p356 :rule skolemize :premises (@p355)) % 0.46/0.67 (step @p357 :rule bool-double-not-elim :args (@t296)) % 0.46/0.67 (step @p358 :rule refl :args (@t312)) % 0.46/0.67 (step @p359 :rule nary_cong :premises (@p358 @p357) :args ((or @t312 (not @t308)))) % 0.46/0.67 (step @p360 :rule cnf_or_neg :args (@t312 6)) % 0.46/0.67 (step @p361 :rule eq_resolve :premises (@p360 @p359)) % 0.46/0.67 (step @p362 :rule reordering :premises (@p361) :args ((or @t296 @t312))) % 0.46/0.67 (step @p363 :rule chain_m_resolution :premises (@p362 @p356) :args (@t296 @t313 @t314)) % 0.46/0.67 (step @p364 :rule cnf_or_pos :args (@t316)) % 0.46/0.67 (step @p365 :rule reordering :premises (@p364) :args ((or @t308 @t315 (not @t316)))) % 0.46/0.67 (step @p366 :rule chain_m_resolution :premises (@p365 @p363 @p90) :args (@t315 @t317 (@list @t296 @t316))) % 0.46/0.67 (step @p367 :rule cnf_or_pos :args (@t320)) % 0.46/0.67 (step @p368 :rule reordering :premises (@p367) :args ((or @t319 @t318 (not @t320)))) % 0.46/0.67 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p86) :args (@t318 @t317 (@list @t315 @t320))) % 0.46/0.67 (step @p370 :rule cnf_or_pos :args (@t323)) % 0.46/0.67 (step @p371 :rule reordering :premises (@p370) :args ((or @t322 @t321 (not @t323)))) % 0.46/0.67 (step @p372 :rule chain_m_resolution :premises (@p371 @p369 @p82) :args (@t321 @t317 (@list @t318 @t323))) % 0.46/0.67 (step @p373 :rule cnf_or_pos :args (@t326)) % 0.46/0.67 (step @p374 :rule reordering :premises (@p373) :args ((or @t325 @t324 (not @t326)))) % 0.46/0.67 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p78) :args (@t324 @t317 (@list @t321 @t326))) % 0.46/0.67 (step @p376 :rule true_intro :premises (@p375)) % 0.46/0.67 (step @p377 :rule bool-impl-elim :args (@t67 @t64)) % 0.46/0.67 (step @p378 :rule cong :premises (@p377) :args (@t68)) % 0.46/0.67 (step @p379 :rule eq_resolve :premises (@p71 @p378)) % 0.46/0.67 (step @p380 :rule instantiate :premises (@p379) :args ((@list @t208 @t305 @t304 @t207))) % 0.46/0.67 (step @p381 :rule bool-double-not-elim :args (@t306)) % 0.46/0.67 (step @p382 :rule nary_cong :premises (@p358 @p381) :args ((or @t312 (not @t307)))) % 0.46/0.67 (step @p383 :rule cnf_or_neg :args (@t312 7)) % 0.46/0.67 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 0.46/0.67 (step @p385 :rule reordering :premises (@p384) :args ((or @t306 @t312))) % 0.46/0.67 (step @p386 :rule chain_m_resolution :premises (@p385 @p356) :args (@t306 @t313 @t314)) % 0.46/0.67 (step @p387 :rule cnf_or_pos :args (@t328)) % 0.46/0.67 (step @p388 :rule reordering :premises (@p387) :args ((or @t307 @t327 (not @t328)))) % 0.46/0.67 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p380) :args (@t327 @t317 (@list @t306 @t328))) % 0.46/0.67 (step @p390 :rule refl :args (@t208)) % 0.46/0.67 (step @p391 :rule cong :premises (@p390 @p389) :args (@t329)) % 0.46/0.67 (step @p392 :rule bool-impl-elim :args (@t9 @t12)) % 0.46/0.67 (step @p393 :rule cong :premises (@p392) :args (@t39)) % 0.46/0.67 (step @p394 :rule eq_resolve :premises (@p38 @p393)) % 0.46/0.67 (step @p395 :rule instantiate :premises (@p394) :args (@t330)) % 0.46/0.67 (step @p396 :rule bool-impl-elim :args (@t12 @t53)) % 0.46/0.67 (step @p397 :rule cong :premises (@p396) :args (@t54)) % 0.46/0.67 (step @p398 :rule eq_resolve :premises (@p63 @p397)) % 0.46/0.67 (step @p399 :rule instantiate :premises (@p398) :args (@t330)) % 0.46/0.67 (step @p400 :rule bool-impl-elim :args (@t27 @t26)) % 0.46/0.67 (step @p401 :rule cong :premises (@p400) :args (@t28)) % 0.46/0.67 (step @p402 :rule eq_resolve :premises (@p24 @p401)) % 0.46/0.67 (step @p403 :rule instantiate :premises (@p402) :args (@t330)) % 0.46/0.67 (step @p404 :rule bool-double-not-elim :args (@t310)) % 0.46/0.67 (step @p405 :rule nary_cong :premises (@p358 @p404) :args ((or @t312 (not @t311)))) % 0.46/0.67 (step @p406 :rule cnf_or_neg :args (@t312 2)) % 0.46/0.67 (step @p407 :rule eq_resolve :premises (@p406 @p405)) % 0.46/0.67 (step @p408 :rule reordering :premises (@p407) :args ((or @t310 @t312))) % 0.46/0.67 (step @p409 :rule chain_m_resolution :premises (@p408 @p356) :args (@t310 @t313 @t314)) % 0.46/0.67 (step @p410 :rule cnf_or_pos :args (@t332)) % 0.46/0.67 (step @p411 :rule reordering :premises (@p410) :args ((or @t311 @t331 (not @t332)))) % 0.46/0.67 (step @p412 :rule chain_m_resolution :premises (@p411 @p409 @p403) :args (@t331 @t317 (@list @t310 @t332))) % 0.46/0.67 (step @p413 :rule cnf_or_pos :args (@t336)) % 0.46/0.67 (step @p414 :rule reordering :premises (@p413) :args ((or @t333 @t335 (not @t336)))) % 0.46/0.67 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p399) :args (@t335 @t317 (@list @t331 @t336))) % 0.46/0.67 (step @p416 :rule cnf_or_pos :args (@t338)) % 0.46/0.67 (step @p417 :rule reordering :premises (@p416) :args ((or @t334 @t337 (not @t338)))) % 0.46/0.67 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p395) :args (@t337 (@list true false) (@list @t334 @t338))) % 0.46/0.67 (step @p419 :rule false_intro :premises (@p418)) % 0.46/0.67 (step @p420 :rule symm :premises (@p419)) % 0.46/0.67 (step @p421 :rule trans :premises (@p420 @p391 @p376)) % 0.46/0.67 (step @p422 false :rule eq_resolve :premises (@p421 @p74)) % 0.46/0.67 ) % 0.46/0.67 % SZS output end Proof % 0.46/0.67 % cvc5 exiting %------------------------------------------------------------------------------