%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO064^4.002 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:11:55 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO064^4.002 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 23:53:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.a (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.a1 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.b (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.a2 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.b1 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.44/0.63 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.44/0.63 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.64 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.64 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.44/0.64 (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.44/0.64 (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1))))) % 0.44/0.64 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.44/0.64 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.44/0.64 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.44/0.64 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.44/0.64 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 0.44/0.64 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1)))))) % 0.44/0.64 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 0.44/0.64 (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.64 (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.64 (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.64 (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.64 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.64 (define @t2 () (_ tptp.irel @t1)) % 0.44/0.64 (define @t3 () (_ @t2 @t1)) % 0.44/0.64 (define @t4 () (@list @t1)) % 0.44/0.64 (define @t5 () (forall @t4 @t3)) % 0.44/0.64 (define @t6 () (@var "Z" $$unsorted)) % 0.44/0.64 (define @t7 () (_ @t2 @t6)) % 0.44/0.64 (define @t8 () (@var "Y" $$unsorted)) % 0.44/0.64 (define @t9 () (_ (_ tptp.irel @t8) @t6)) % 0.44/0.64 (define @t10 () (_ @t2 @t8)) % 0.44/0.64 (define @t11 () (and @t10 @t9)) % 0.44/0.64 (define @t12 () (@list @t1 @t8 @t6)) % 0.44/0.64 (define @t13 () (forall @t12 (=> @t11 @t7))) % 0.44/0.64 (define @t14 () (_ tptp.iatom tptp.a2)) % 0.44/0.64 (define @t15 () (_ tptp.iatom tptp.b1)) % 0.44/0.64 (define @t16 () (_ tptp.iatom tptp.a1)) % 0.44/0.64 (define @t17 () (_ tptp.iatom tptp.b)) % 0.44/0.64 (define @t18 () (_ tptp.iatom tptp.a)) % 0.44/0.64 (define @t19 () (not (_ tptp.ivalid (_ (_ tptp.ior @t18) (_ (_ tptp.ior (_ (_ tptp.iand @t17) @t16)) (_ (_ tptp.iand @t15) @t14)))))) % 0.44/0.64 (define @t20 () (@var "U" $$unsorted)) % 0.44/0.64 (define @t21 () (@var "X" (-> $$unsorted Bool))) % 0.44/0.64 (define @t22 () (_ @t21 @t20)) % 0.44/0.64 (define @t23 () (lambda (@list @t21 @t20) (not @t22))) % 0.44/0.64 (define @t24 () (@var "Y" (-> $$unsorted Bool))) % 0.44/0.64 (define @t25 () (_ @t24 @t20)) % 0.44/0.64 (define @t26 () (@list @t21 @t24 @t20)) % 0.44/0.64 (define @t27 () (lambda @t26 (or @t22 @t25))) % 0.44/0.64 (define @t28 () (lambda @t26 (and @t22 @t25))) % 0.44/0.64 (define @t29 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.64 (define @t30 () (@var "V" (-> $$unsorted Bool))) % 0.44/0.64 (define @t31 () (@var "U" (-> $$unsorted Bool))) % 0.44/0.64 (define @t32 () (@list @t31 @t30 @t29)) % 0.44/0.64 (define @t33 () (lambda @t32 (_ (_ (_ tptp.mor (_ tptp.mnot @t31)) @t30) @t29))) % 0.44/0.64 (define @t34 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.64 (define @t35 () (_ @t34 @t8)) % 0.44/0.64 (define @t36 () (@list @t8)) % 0.44/0.64 (define @t37 () (forall @t36 (=> @t10 @t35))) % 0.44/0.64 (define @t38 () (@list @t34 @t1)) % 0.44/0.64 (define @t39 () (lambda @t38 @t37)) % 0.44/0.64 (define @t40 () (_ @t34 @t29)) % 0.44/0.64 (define @t41 () (@list @t34 @t29)) % 0.44/0.64 (define @t42 () (lambda @t41 @t40)) % 0.44/0.64 (define @t43 () (_ tptp.mbox_s4 @t34)) % 0.44/0.64 (define @t44 () (lambda @t41 (_ (_ tptp.mnot @t43) @t29))) % 0.44/0.64 (define @t45 () (@var "W" $$unsorted)) % 0.44/0.64 (define @t46 () (@list @t45)) % 0.44/0.64 (define @t47 () (lambda @t46 true)) % 0.44/0.64 (define @t48 () (@var "Q" (-> $$unsorted Bool))) % 0.44/0.64 (define @t49 () (@list @t34 @t48 @t29)) % 0.44/0.64 (define @t50 () (lambda @t49 (_ (_ (_ tptp.mand @t34) @t48) @t29))) % 0.44/0.64 (define @t51 () (_ tptp.mbox_s4 @t48)) % 0.44/0.64 (define @t52 () (lambda @t49 (_ (_ (_ tptp.mor @t43) @t51) @t29))) % 0.44/0.64 (define @t53 () (lambda @t49 (_ (_ (_ tptp.mimplies @t43) @t51) @t29))) % 0.44/0.64 (define @t54 () (_ (_ tptp.iimplies @t48) @t34)) % 0.44/0.64 (define @t55 () (lambda @t49 (_ @t54 @t29))) % 0.44/0.64 (define @t56 () (lambda @t49 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t34) @t48)) @t54) @t29))) % 0.44/0.64 (define @t57 () (lambda @t49 (_ (_ tptp.inot (_ (_ tptp.iequiv @t34) @t48)) @t29))) % 0.44/0.64 (define @t58 () (@var "Phi" (-> $$unsorted Bool))) % 0.44/0.64 (define @t59 () (_ @t58 @t45)) % 0.44/0.64 (define @t60 () (forall @t46 @t59)) % 0.44/0.64 (define @t61 () (@list @t58)) % 0.44/0.64 (define @t62 () (lambda @t61 @t60)) % 0.44/0.64 (define @t63 () (lambda @t61 (exists @t46 @t59))) % 0.44/0.64 (define @t64 () (not @t59)) % 0.44/0.64 (define @t65 () (lambda @t61 (exists @t46 @t64))) % 0.44/0.64 (define @t66 () (lambda @t61 (forall @t46 @t64))) % 0.44/0.64 (define @t67 () (tptp.a2 @t45)) % 0.44/0.64 (define @t68 () (_ tptp.a2 @t45)) % 0.44/0.64 (define @t69 () (_ tptp.a2 @t29)) % 0.44/0.64 (define @t70 () (@list @t29)) % 0.44/0.64 (define @t71 () (lambda @t70 @t69)) % 0.44/0.64 (define @t72 () (_ @t71 @t45)) % 0.44/0.64 (define @t73 () (forall @t46 @t72)) % 0.44/0.64 (define @t74 () (_ @t58 @t45)) % 0.44/0.64 (define @t75 () (lambda @t61 (forall @t46 @t74))) % 0.44/0.64 (define @t76 () (_ @t42 tptp.a2)) % 0.44/0.64 (define @t77 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 0.44/0.64 (define @t78 () (tptp.b1 @t77)) % 0.44/0.64 (define @t79 () (@var "BOUND_VARIABLE_8251" $$unsorted)) % 0.44/0.64 (define @t80 () (not (tptp.irel @t79 @t77))) % 0.44/0.64 (define @t81 () (@var "BOUND_VARIABLE_8257" $$unsorted)) % 0.44/0.64 (define @t82 () (tptp.a1 @t81)) % 0.44/0.64 (define @t83 () (@var "BOUND_VARIABLE_8253" $$unsorted)) % 0.44/0.64 (define @t84 () (not (tptp.irel @t83 @t81))) % 0.44/0.64 (define @t85 () (@var "BOUND_VARIABLE_8255" $$unsorted)) % 0.44/0.64 (define @t86 () (tptp.b1 @t85)) % 0.44/0.64 (define @t87 () (not (tptp.irel @t83 @t85))) % 0.44/0.64 (define @t88 () (not (tptp.irel @t79 @t83))) % 0.44/0.64 (define @t89 () (not (tptp.irel @t45 @t79))) % 0.44/0.64 (define @t90 () (tptp.b @t8)) % 0.44/0.64 (define @t91 () (not (tptp.irel @t45 @t8))) % 0.44/0.64 (define @t92 () (forall @t36 (or @t91 @t90))) % 0.44/0.64 (define @t93 () (not @t92)) % 0.44/0.64 (define @t94 () (or @t89 @t88 @t87 @t86 @t84 @t82 @t80 @t78)) % 0.44/0.64 (define @t95 () (or @t93 @t94)) % 0.44/0.64 (define @t96 () (forall (@list @t45 @t79 @t83 @t85 @t81 @t77) @t95)) % 0.44/0.64 (define @t97 () (@list @t79 @t83 @t85 @t81 @t77)) % 0.44/0.64 (define @t98 () (forall @t97 @t95)) % 0.44/0.64 (define @t99 () (forall @t97 @t94)) % 0.44/0.64 (define @t100 () (@var "BOUND_VARIABLE_8226" $$unsorted)) % 0.44/0.64 (define @t101 () (@var "BOUND_VARIABLE_8215" $$unsorted)) % 0.44/0.64 (define @t102 () (@var "BOUND_VARIABLE_8213" $$unsorted)) % 0.44/0.64 (define @t103 () (@var "BOUND_VARIABLE_8211" $$unsorted)) % 0.44/0.64 (define @t104 () (or @t93 @t99)) % 0.44/0.64 (define @t105 () (tptp.b1 @t100)) % 0.44/0.64 (define @t106 () (not (tptp.irel @t8 @t100))) % 0.44/0.64 (define @t107 () (tptp.a1 @t101)) % 0.44/0.64 (define @t108 () (not (tptp.irel @t103 @t101))) % 0.44/0.64 (define @t109 () (tptp.b1 @t102)) % 0.44/0.64 (define @t110 () (not (tptp.irel @t103 @t102))) % 0.44/0.64 (define @t111 () (not (tptp.irel @t8 @t103))) % 0.44/0.64 (define @t112 () (@list @t8 @t103 @t102 @t101 @t100)) % 0.44/0.64 (define @t113 () (or @t93 (forall @t112 (or @t91 @t111 @t110 @t109 @t108 @t107 @t106 @t105)))) % 0.44/0.64 (define @t114 () (not (tptp.irel @t29 @t8))) % 0.44/0.64 (define @t115 () (or @t114 @t111 @t110 @t109 @t108 @t107 @t106 @t105)) % 0.44/0.64 (define @t116 () (forall @t36 (or @t114 @t90))) % 0.44/0.64 (define @t117 () (not @t116)) % 0.44/0.64 (define @t118 () (lambda @t70 (or @t117 (forall @t112 @t115)))) % 0.44/0.64 (define @t119 () (_ @t118 @t45)) % 0.44/0.64 (define @t120 () (forall @t46 @t119)) % 0.44/0.64 (define @t121 () (or @t106 @t105)) % 0.44/0.64 (define @t122 () (or @t111 @t110 @t109 @t108 @t107)) % 0.44/0.64 (define @t123 () (or @t114 @t122 @t121)) % 0.44/0.64 (define @t124 () (forall @t112 @t123)) % 0.44/0.64 (define @t125 () (forall (@list @t103 @t102 @t101 @t100) @t123)) % 0.44/0.64 (define @t126 () (forall (@list @t100) @t121)) % 0.44/0.64 (define @t127 () (@var "BOUND_VARIABLE_8177" $$unsorted)) % 0.44/0.64 (define @t128 () (@list @t127)) % 0.44/0.64 (define @t129 () (forall (@list @t103 @t102 @t101) @t122)) % 0.44/0.64 (define @t130 () (@var "BOUND_VARIABLE_8151" $$unsorted)) % 0.44/0.64 (define @t131 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.44/0.64 (define @t132 () (@var "BOUND_VARIABLE_8185" $$unsorted)) % 0.44/0.64 (define @t133 () (or @t114 @t129 @t126)) % 0.44/0.64 (define @t134 () (tptp.b1 @t127)) % 0.44/0.64 (define @t135 () (@list @t127)) % 0.44/0.64 (define @t136 () (forall @t135 (or (not (tptp.irel @t8 @t127)) @t134))) % 0.44/0.64 (define @t137 () (tptp.a1 @t130)) % 0.44/0.64 (define @t138 () (not (tptp.irel @t132 @t130))) % 0.44/0.64 (define @t139 () (tptp.b1 @t131)) % 0.44/0.64 (define @t140 () (not (tptp.irel @t132 @t131))) % 0.44/0.64 (define @t141 () (@list @t132 @t131 @t130)) % 0.44/0.64 (define @t142 () (forall @t141 (or (not (tptp.irel @t8 @t132)) @t140 @t139 @t138 @t137))) % 0.44/0.64 (define @t143 () (or @t114 @t142 @t136)) % 0.44/0.64 (define @t144 () (or @t142 @t136)) % 0.44/0.64 (define @t145 () (tptp.b1 @t8)) % 0.44/0.64 (define @t146 () (forall @t36 (or @t114 @t145))) % 0.44/0.64 (define @t147 () (@list @t8)) % 0.44/0.64 (define @t148 () (not (tptp.irel @t8 @t130))) % 0.44/0.64 (define @t149 () (not (tptp.irel @t8 @t131))) % 0.44/0.64 (define @t150 () (or @t114 @t149 @t139 @t148 @t137)) % 0.44/0.64 (define @t151 () (@list @t8 @t131 @t130)) % 0.44/0.64 (define @t152 () (forall @t151 @t150)) % 0.44/0.64 (define @t153 () (or @t152 @t146)) % 0.44/0.64 (define @t154 () (lambda @t70 @t153)) % 0.44/0.64 (define @t155 () (or @t114 (_ @t154 @t8))) % 0.44/0.64 (define @t156 () (forall @t36 @t155)) % 0.44/0.64 (define @t157 () (or @t117 @t156)) % 0.44/0.64 (define @t158 () (lambda @t70 @t157)) % 0.44/0.64 (define @t159 () (_ @t48 @t8)) % 0.44/0.64 (define @t160 () (forall @t36 (or @t114 @t159))) % 0.44/0.64 (define @t161 () (@list @t48 @t29)) % 0.44/0.64 (define @t162 () (_ tptp.b1 @t8)) % 0.44/0.64 (define @t163 () (or @t114 @t162)) % 0.44/0.64 (define @t164 () (_ tptp.b1 @t29)) % 0.44/0.64 (define @t165 () (lambda @t70 @t164)) % 0.44/0.64 (define @t166 () (_ @t165 @t8)) % 0.44/0.64 (define @t167 () (or @t114 @t166)) % 0.44/0.64 (define @t168 () (forall @t36 @t167)) % 0.44/0.64 (define @t169 () (or @t152 @t168)) % 0.44/0.64 (define @t170 () (lambda @t70 @t169)) % 0.44/0.64 (define @t171 () (_ @t42 tptp.b1)) % 0.44/0.64 (define @t172 () (or @t148 @t137)) % 0.44/0.64 (define @t173 () (or @t149 @t139)) % 0.44/0.64 (define @t174 () (or @t114 @t173 @t172)) % 0.44/0.64 (define @t175 () (forall @t151 @t174)) % 0.44/0.64 (define @t176 () (forall (@list @t131 @t130) @t174)) % 0.44/0.64 (define @t177 () (forall (@list @t130) @t172)) % 0.44/0.64 (define @t178 () (@var "BOUND_VARIABLE_8114" $$unsorted)) % 0.44/0.64 (define @t179 () (@list @t178)) % 0.44/0.64 (define @t180 () (forall (@list @t131) @t173)) % 0.44/0.64 (define @t181 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 0.44/0.64 (define @t182 () (@list @t181)) % 0.44/0.64 (define @t183 () (or @t114 @t180 @t177)) % 0.44/0.64 (define @t184 () (tptp.a1 @t178)) % 0.44/0.64 (define @t185 () (@list @t178)) % 0.44/0.64 (define @t186 () (forall @t185 (or (not (tptp.irel @t8 @t178)) @t184))) % 0.44/0.64 (define @t187 () (tptp.b1 @t181)) % 0.44/0.64 (define @t188 () (@list @t181)) % 0.44/0.64 (define @t189 () (forall @t188 (or (not (tptp.irel @t8 @t181)) @t187))) % 0.44/0.64 (define @t190 () (or @t114 @t189 @t186)) % 0.44/0.64 (define @t191 () (or @t189 @t186)) % 0.44/0.64 (define @t192 () (tptp.a1 @t8)) % 0.44/0.64 (define @t193 () (forall @t36 (or @t114 @t192))) % 0.44/0.64 (define @t194 () (or @t146 @t193)) % 0.44/0.64 (define @t195 () (lambda @t70 @t194)) % 0.44/0.64 (define @t196 () (or @t114 (_ @t195 @t8))) % 0.44/0.64 (define @t197 () (forall @t36 @t196)) % 0.44/0.64 (define @t198 () (or @t197 @t160)) % 0.44/0.64 (define @t199 () (lambda @t161 @t198)) % 0.44/0.64 (define @t200 () (_ @t34 @t8)) % 0.44/0.64 (define @t201 () (forall @t36 (or @t114 @t200))) % 0.44/0.64 (define @t202 () (or @t201 @t160)) % 0.44/0.64 (define @t203 () (lambda @t49 @t202)) % 0.44/0.64 (define @t204 () (_ tptp.a1 @t8)) % 0.44/0.64 (define @t205 () (or @t114 @t204)) % 0.44/0.64 (define @t206 () (_ tptp.a1 @t29)) 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0.44/0.64 (define @t228 () (lambda @t49 @t227)) % 0.44/0.64 (define @t229 () (_ @t42 tptp.b)) % 0.44/0.64 (define @t230 () (not (tptp.irel @t20 @t8))) % 0.44/0.64 (define @t231 () (forall @t36 (or @t230 @t159))) % 0.44/0.64 (define @t232 () (forall @t36 (or @t230 @t200))) % 0.44/0.64 (define @t233 () (@list @t20)) % 0.44/0.64 (define @t234 () (tptp.irel @t1 @t8)) % 0.44/0.64 (define @t235 () (not @t234)) % 0.44/0.64 (define @t236 () (lambda @t4 (forall @t36 (or @t235 @t159)))) % 0.44/0.64 (define @t237 () (_ @t236 @t20)) % 0.44/0.64 (define @t238 () (or @t232 @t237)) % 0.44/0.64 (define @t239 () (lambda @t233 @t238)) % 0.44/0.64 (define @t240 () (@list @t24 @t20)) % 0.44/0.64 (define @t241 () (forall @t36 (or @t235 @t200))) % 0.44/0.64 (define @t242 () (lambda @t38 @t241)) % 0.44/0.64 (define @t243 () (lambda @t4 @t241)) % 0.44/0.64 (define @t244 () (_ @t243 @t20)) % 0.44/0.64 (define @t245 () (or @t244 @t25)) % 0.44/0.64 (define @t246 () (lambda @t240 @t245)) % 0.44/0.64 (define @t247 () (not @t10)) % 0.44/0.64 (define @t248 () (or @t247 @t35)) % 0.44/0.64 (define @t249 () (_ @t236 @t29)) % 0.44/0.64 (define @t250 () (or @t226 @t249)) % 0.44/0.64 (define @t251 () (lambda @t70 @t250)) % 0.44/0.64 (define @t252 () (_ @t30 @t29)) % 0.44/0.64 (define @t253 () (@list @t30 @t29)) % 0.44/0.64 (define @t254 () (_ @t243 @t29)) % 0.44/0.64 (define @t255 () (not @t254)) % 0.44/0.64 (define @t256 () (or @t255 @t252)) % 0.44/0.64 (define @t257 () (lambda @t253 @t256)) % 0.44/0.64 (define @t258 () (or (not (_ @t31 @t29)) @t252)) % 0.44/0.64 (define @t259 () (lambda @t32 @t258)) % 0.44/0.64 (define @t260 () (not (_ @t31 @t20))) % 0.44/0.64 (define @t261 () (lambda @t233 (or @t260 (_ @t30 @t20)))) % 0.44/0.64 (define @t262 () (lambda @t233 @t260)) % 0.44/0.64 (define @t263 () (_ @t262 @t20)) % 0.44/0.64 (define @t264 () (or @t263 @t25)) % 0.44/0.64 (define @t265 () (lambda @t240 @t264)) % 0.44/0.64 (define @t266 () (@var "BOUND_VARIABLE_8561" $$unsorted)) % 0.44/0.64 (define @t267 () (and (tptp.b1 @t266) (tptp.a2 @t266))) % 0.44/0.64 (define @t268 () (@var "BOUND_VARIABLE_8557" $$unsorted)) % 0.44/0.64 (define @t269 () (not (tptp.irel @t268 @t266))) % 0.44/0.64 (define @t270 () (@var "BOUND_VARIABLE_8559" $$unsorted)) % 0.44/0.64 (define @t271 () (and (tptp.b @t270) (tptp.a1 @t270))) % 0.44/0.64 (define @t272 () (not (tptp.irel @t268 @t270))) % 0.44/0.64 (define @t273 () (not (tptp.irel @t45 @t268))) % 0.44/0.64 (define @t274 () (@var "BOUND_VARIABLE_8551" $$unsorted)) % 0.44/0.64 (define @t275 () (tptp.a @t274)) % 0.44/0.64 (define @t276 () (not (tptp.irel @t45 @t274))) % 0.44/0.64 (define @t277 () (or @t276 @t275 @t273 @t272 @t271 @t269 @t267)) % 0.44/0.64 (define @t278 () (@list @t45 @t274 @t268 @t270 @t266)) % 0.44/0.64 (define @t279 () (forall @t278 @t277)) % 0.44/0.64 (define @t280 () (@quantifiers_skolemize @t279 4)) % 0.44/0.64 (define @t281 () (@quantifiers_skolemize @t279 3)) % 0.44/0.64 (define @t282 () (@quantifiers_skolemize @t279 2)) % 0.44/0.64 (define @t283 () (@quantifiers_skolemize @t279 0)) % 0.44/0.64 (define @t284 () (tptp.irel @t1 @t1)) % 0.44/0.64 (define @t285 () (forall @t36 (or (not (tptp.irel @t283 @t8)) @t90))) % 0.44/0.64 (define @t286 () (@quantifiers_skolemize @t285 0)) % 0.44/0.64 (define @t287 () (tptp.irel @t283 @t286)) % 0.44/0.64 (define @t288 () (tptp.b @t286)) % 0.44/0.64 (define @t289 () (not @t287)) % 0.44/0.64 (define @t290 () (or @t289 @t288)) % 0.44/0.64 (define @t291 () (or @t273 @t272 @t271 @t269 @t267)) % 0.44/0.64 (define @t292 () (or @t276 @t275)) % 0.44/0.64 (define @t293 () (or @t292 @t291)) % 0.44/0.64 (define @t294 () (forall @t278 @t293)) % 0.44/0.64 (define @t295 () (forall (@list @t274 @t268 @t270 @t266) @t293)) % 0.44/0.64 (define @t296 () (forall (@list @t268 @t270 @t266) @t291)) % 0.44/0.64 (define @t297 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 0.44/0.64 (define @t298 () (@var "BOUND_VARIABLE_8519" $$unsorted)) % 0.44/0.64 (define @t299 () (forall (@list @t274) @t292)) % 0.44/0.64 (define @t300 () (or @t299 @t296)) % 0.44/0.64 (define @t301 () (and (tptp.b1 @t297) (tptp.a2 @t297))) % 0.44/0.64 (define @t302 () (not (tptp.irel @t8 @t297))) % 0.44/0.64 (define @t303 () (and (tptp.b @t298) (tptp.a1 @t298))) % 0.44/0.64 (define @t304 () (not (tptp.irel @t8 @t298))) % 0.44/0.64 (define @t305 () (@list @t8 @t298 @t297)) % 0.44/0.64 (define @t306 () (tptp.a @t8)) % 0.44/0.64 (define @t307 () (or (forall @t36 (or @t91 @t306)) (forall @t305 (or @t91 @t304 @t303 @t302 @t301)))) % 0.44/0.64 (define @t308 () (or @t114 @t304 @t303 @t302 @t301)) % 0.44/0.64 (define @t309 () (forall @t36 (or @t114 @t306))) % 0.44/0.64 (define @t310 () (lambda @t70 (or @t309 (forall @t305 @t308)))) % 0.44/0.64 (define @t311 () (_ @t310 @t45)) % 0.44/0.64 (define @t312 () (forall @t46 @t311)) % 0.44/0.64 (define @t313 () (or @t302 @t301)) % 0.44/0.64 (define @t314 () (or @t304 @t303)) % 0.44/0.64 (define @t315 () (or @t114 @t314 @t313)) % 0.44/0.64 (define @t316 () (forall @t305 @t315)) % 0.44/0.64 (define @t317 () (forall (@list @t298 @t297) @t315)) % 0.44/0.64 (define @t318 () (forall (@list @t297) @t313)) % 0.44/0.64 (define @t319 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 0.44/0.64 (define @t320 () (@list @t319)) % 0.44/0.64 (define @t321 () (forall (@list @t298) @t314)) % 0.44/0.64 (define @t322 () (@var "BOUND_VARIABLE_8494" $$unsorted)) % 0.44/0.64 (define @t323 () (@list @t322)) % 0.44/0.64 (define @t324 () (or @t114 @t321 @t318)) % 0.44/0.64 (define @t325 () (and (tptp.b1 @t319) (tptp.a2 @t319))) % 0.44/0.64 (define @t326 () (@list @t319)) % 0.44/0.64 (define @t327 () (forall @t326 (or (not (tptp.irel @t8 @t319)) @t325))) % 0.44/0.64 (define @t328 () (and (tptp.b @t322) (tptp.a1 @t322))) % 0.44/0.64 (define @t329 () (@list @t322)) % 0.44/0.64 (define @t330 () (forall @t329 (or (not (tptp.irel @t8 @t322)) @t328))) % 0.44/0.64 (define @t331 () (or @t114 @t330 @t327)) % 0.44/0.64 (define @t332 () (or @t330 @t327)) % 0.44/0.64 (define @t333 () (tptp.a2 @t8)) % 0.44/0.64 (define @t334 () (forall @t36 (or @t114 (and @t145 @t333)))) % 0.44/0.64 (define @t335 () (forall @t36 (or @t114 (and @t90 @t192)))) % 0.44/0.64 (define @t336 () (or @t335 @t334)) % 0.44/0.64 (define @t337 () (lambda @t70 @t336)) % 0.44/0.64 (define @t338 () (or @t114 (_ @t337 @t8))) % 0.44/0.64 (define @t339 () (forall @t36 @t338)) % 0.44/0.64 (define @t340 () (or @t309 @t339)) % 0.44/0.64 (define @t341 () (lambda @t70 @t340)) % 0.44/0.64 (define @t342 () (_ tptp.a2 @t8)) % 0.44/0.64 (define @t343 () (and @t162 @t342)) % 0.44/0.64 (define @t344 () (or @t114 @t343)) % 0.44/0.64 (define @t345 () (lambda @t70 (and @t164 @t69))) % 0.44/0.64 (define @t346 () (_ @t345 @t8)) % 0.44/0.64 (define @t347 () (or @t114 @t346)) % 0.44/0.64 (define @t348 () (forall @t36 @t347)) % 0.44/0.64 (define @t349 () (or @t335 @t348)) % 0.44/0.64 (define @t350 () (lambda @t70 @t349)) % 0.44/0.64 (define @t351 () (_ @t71 @t29)) % 0.44/0.64 (define @t352 () (and @t164 @t351)) % 0.44/0.64 (define @t353 () (lambda @t70 @t352)) % 0.44/0.64 (define @t354 () (_ @t48 @t29)) % 0.44/0.64 (define @t355 () (_ @t165 @t29)) % 0.44/0.64 (define @t356 () (and @t355 @t354)) % 0.44/0.64 (define @t357 () (lambda @t161 @t356)) % 0.44/0.64 (define @t358 () (and @t40 @t354)) % 0.44/0.64 (define @t359 () (lambda @t49 @t358)) % 0.44/0.64 (define @t360 () (and @t216 @t204)) % 0.44/0.64 (define @t361 () (or @t114 @t360)) % 0.44/0.64 (define @t362 () (lambda @t70 (and @t218 @t206))) % 0.44/0.64 (define @t363 () (_ @t362 @t8)) % 0.44/0.64 (define @t364 () (or @t114 @t363)) % 0.44/0.64 (define @t365 () (forall @t36 @t364)) % 0.44/0.64 (define @t366 () (or @t365 @t160)) % 0.44/0.64 (define @t367 () (lambda @t161 @t366)) % 0.44/0.64 (define @t368 () (_ @t207 @t29)) % 0.44/0.64 (define @t369 () (and @t218 @t368)) % 0.44/0.64 (define @t370 () (lambda @t70 @t369)) % 0.44/0.64 (define @t371 () (_ @t219 @t29)) % 0.44/0.64 (define @t372 () (and @t371 @t354)) % 0.44/0.64 (define @t373 () (lambda @t161 @t372)) % 0.44/0.64 (define @t374 () (_ tptp.a @t8)) % 0.44/0.64 (define @t375 () (or @t114 @t374)) % 0.44/0.64 (define @t376 () (lambda @t70 (_ tptp.a @t29))) % 0.44/0.64 (define @t377 () (_ @t376 @t8)) % 0.44/0.64 (define @t378 () (or @t114 @t377)) % 0.44/0.64 (define @t379 () (forall @t36 @t378)) % 0.44/0.64 (define @t380 () (or @t379 @t160)) % 0.44/0.64 (define @t381 () (lambda @t161 @t380)) % 0.44/0.64 (define @t382 () (_ @t42 tptp.a)) % 0.44/0.64 (define @t383 () (_ @t34 @t20)) % 0.44/0.64 (define @t384 () (lambda @t233 (and @t383 (_ @t48 @t20)))) % 0.44/0.64 (define @t385 () (lambda @t240 (and @t383 @t25))) % 0.44/0.64 (define @t386 () (@quantifiers_skolemize @t279 1)) % 0.44/0.64 (define @t387 () (tptp.irel @t283 @t386)) % 0.44/0.64 (define @t388 () (tptp.a2 @t280)) % 0.44/0.64 (define @t389 () (tptp.b1 @t280)) % 0.44/0.64 (define @t390 () (and @t389 @t388)) % 0.44/0.64 (define @t391 () (tptp.irel @t282 @t280)) % 0.44/0.64 (define @t392 () (not @t391)) % 0.44/0.64 (define @t393 () (tptp.a1 @t281)) % 0.44/0.64 (define @t394 () (tptp.b @t281)) % 0.44/0.64 (define @t395 () (and @t394 @t393)) % 0.44/0.64 (define @t396 () (tptp.irel @t282 @t281)) % 0.44/0.64 (define @t397 () (not @t396)) % 0.44/0.64 (define @t398 () (tptp.irel @t283 @t282)) % 0.44/0.64 (define @t399 () (not @t398)) % 0.44/0.64 (define @t400 () (tptp.a @t386)) % 0.44/0.64 (define @t401 () (not @t387)) % 0.44/0.64 (define @t402 () (or @t401 @t400 @t399 @t397 @t395 @t392 @t390)) % 0.44/0.64 (define @t403 () (@list true)) % 0.44/0.64 (define @t404 () (@list @t402)) % 0.44/0.64 (define @t405 () (@var "BOUND_VARIABLE_8393" $$unsorted)) % 0.44/0.64 (define @t406 () (tptp.b @t405)) % 0.44/0.64 (define @t407 () (not (tptp.irel @t45 @t405))) % 0.44/0.64 (define @t408 () (@var "BOUND_VARIABLE_8382" $$unsorted)) % 0.44/0.64 (define @t409 () (tptp.a @t408)) % 0.44/0.64 (define @t410 () (@var "BOUND_VARIABLE_8378" $$unsorted)) % 0.44/0.64 (define @t411 () (not (tptp.irel @t410 @t408))) % 0.44/0.64 (define @t412 () (@var "BOUND_VARIABLE_8380" $$unsorted)) % 0.44/0.64 (define @t413 () (tptp.b @t412)) % 0.44/0.64 (define @t414 () (not (tptp.irel @t410 @t412))) % 0.44/0.64 (define @t415 () (not (tptp.irel @t45 @t410))) % 0.44/0.64 (define @t416 () (or @t407 @t406)) % 0.44/0.64 (define @t417 () (or @t415 @t414 @t413 @t411 @t409)) % 0.44/0.64 (define @t418 () (or @t417 @t416)) % 0.44/0.64 (define @t419 () (forall (@list @t45 @t410 @t412 @t408 @t405) @t418)) % 0.44/0.64 (define @t420 () (forall (@list @t410 @t412 @t408 @t405) @t418)) % 0.44/0.64 (define @t421 () (forall (@list @t405) @t416)) % 0.44/0.64 (define @t422 () (forall (@list @t410 @t412 @t408) @t417)) % 0.44/0.64 (define @t423 () (@var "BOUND_VARIABLE_8352" $$unsorted)) % 0.44/0.64 (define @t424 () (@var "BOUND_VARIABLE_8346" $$unsorted)) % 0.44/0.64 (define @t425 () (or @t422 @t421)) % 0.44/0.64 (define @t426 () (tptp.a @t423)) % 0.44/0.64 (define @t427 () (not (tptp.irel @t8 @t423))) % 0.44/0.64 (define @t428 () (tptp.b @t424)) % 0.44/0.64 (define @t429 () (not (tptp.irel @t8 @t424))) % 0.44/0.64 (define @t430 () (@list @t8 @t424 @t423)) % 0.44/0.64 (define @t431 () (or (forall @t430 (or @t91 @t429 @t428 @t427 @t426)) @t92)) % 0.44/0.64 (define @t432 () (or @t114 @t429 @t428 @t427 @t426)) % 0.44/0.64 (define @t433 () (forall @t430 @t432)) % 0.44/0.64 (define @t434 () (lambda @t70 (or @t433 @t116))) % 0.44/0.64 (define @t435 () (_ @t434 @t45)) % 0.44/0.64 (define @t436 () (forall @t46 @t435)) % 0.44/0.64 (define @t437 () (or @t433 @t222)) % 0.44/0.64 (define @t438 () (lambda @t70 @t437)) % 0.44/0.64 (define @t439 () (or @t427 @t426)) % 0.44/0.64 (define @t440 () (or @t429 @t428)) % 0.44/0.64 (define @t441 () (or @t114 @t440 @t439)) % 0.44/0.64 (define @t442 () (forall @t430 @t441)) % 0.44/0.64 (define @t443 () (forall (@list @t424 @t423) @t441)) % 0.44/0.64 (define @t444 () (forall (@list @t423) @t439)) % 0.44/0.64 (define @t445 () (@var "BOUND_VARIABLE_8315" $$unsorted)) % 0.44/0.64 (define @t446 () (@list @t445)) % 0.44/0.64 (define @t447 () (forall (@list @t424) @t440)) % 0.44/0.64 (define @t448 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 0.44/0.64 (define @t449 () (@list @t448)) % 0.44/0.64 (define @t450 () (or @t114 @t447 @t444)) % 0.44/0.64 (define @t451 () (tptp.a @t445)) % 0.44/0.64 (define @t452 () (@list @t445)) % 0.44/0.64 (define @t453 () (forall @t452 (or (not (tptp.irel @t8 @t445)) @t451))) % 0.44/0.64 (define @t454 () (tptp.b @t448)) % 0.44/0.64 (define @t455 () (@list @t448)) % 0.44/0.64 (define @t456 () (forall @t455 (or (not (tptp.irel @t8 @t448)) @t454))) % 0.44/0.64 (define @t457 () (or @t114 @t456 @t453)) % 0.44/0.64 (define @t458 () (or @t456 @t453)) % 0.44/0.64 (define @t459 () (or @t116 @t309)) % 0.44/0.64 (define @t460 () (lambda @t70 @t459)) % 0.44/0.64 (define @t461 () (or @t114 (_ @t460 @t8))) % 0.44/0.64 (define @t462 () (forall @t36 @t461)) % 0.44/0.64 (define @t463 () (or @t462 @t160)) % 0.44/0.64 (define @t464 () (lambda @t161 @t463)) % 0.44/0.64 (define @t465 () (or @t116 @t379)) % 0.44/0.64 (define @t466 () (lambda @t70 @t465)) % 0.44/0.64 (define @t467 () (or @t222 @t160)) % 0.44/0.64 (define @t468 () (lambda @t161 @t467)) % 0.44/0.64 (define @t469 () (tptp.irel @t283 @t283)) % 0.44/0.64 (define @t470 () (not @t469)) % 0.44/0.64 (define @t471 () (or @t470 @t289 @t288 @t401 @t400 @t289 @t288)) % 0.44/0.64 (define @t472 () (not @t290)) % 0.44/0.64 (define @t473 () (not @t285)) % 0.44/0.64 (define @t474 () (tptp.irel @t1 @t6)) % 0.44/0.64 (define @t475 () (tptp.irel @t8 @t6)) % 0.44/0.64 (define @t476 () (not @t9)) % 0.44/0.64 (define @t477 () (or @t247 @t476 @t7)) % 0.44/0.64 (define @t478 () (tptp.irel @t283 @t281)) % 0.44/0.64 (define @t479 () (or @t399 @t397 @t478)) % 0.44/0.64 (define @t480 () (not @t478)) % 0.44/0.64 (define @t481 () (or @t470 @t480 @t394 @t401 @t400 @t480 @t394)) % 0.44/0.64 (define @t482 () (@list true false)) % 0.44/0.64 (define @t483 () (tptp.irel @t282 @t282)) % 0.44/0.64 (define @t484 () (not @t483)) % 0.44/0.64 (define @t485 () (or @t473 @t399 @t484 @t392 @t389 @t397 @t393 @t392 @t389)) % 0.44/0.64 (define @t486 () (forall @t46 @t67)) % 0.44/0.64 (assume @p1 @t5) % 0.44/0.64 (assume @p2 @t13) % 0.44/0.64 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.44/0.64 (assume @p4 (_ tptp.ivalid @t14)) % 0.44/0.64 (assume @p5 (_ tptp.ivalid (_ (_ tptp.iimplies @t17) (_ (_ tptp.ior (_ (_ tptp.ior @t15) @t16)) @t15)))) % 0.44/0.64 (assume @p6 (_ tptp.ivalid (_ (_ tptp.ior (_ (_ tptp.ior @t17) @t18)) @t17))) % 0.44/0.64 (assume @p7 @t19) % 0.44/0.64 (assume @p8 true) % 0.44/0.64 (step @p9 (= tptp.mnot @t23) :rule refl :args (@t23)) % 0.44/0.64 (step @p10 (= tptp.mor @t27) :rule refl :args (@t27)) % 0.44/0.64 (step @p11 (= tptp.mand @t28) :rule refl :args (@t28)) % 0.44/0.64 (step @p12 (= tptp.mimplies @t33) :rule refl :args (@t33)) % 0.44/0.64 (step @p13 (= tptp.mbox_s4 @t39) :rule refl :args (@t39)) % 0.44/0.64 (step @p14 (= tptp.iatom @t42) :rule refl :args (@t42)) % 0.44/0.64 (step @p15 (= tptp.inot @t44) :rule refl :args (@t44)) % 0.44/0.64 (step @p16 (= tptp.itrue @t47) :rule refl :args (@t47)) % 0.44/0.64 (step @p17 (= tptp.iand @t50) :rule refl :args (@t50)) % 0.44/0.64 (step @p18 (= tptp.ior @t52) :rule refl :args (@t52)) % 0.44/0.64 (step @p19 (= tptp.iimplies @t53) :rule refl :args (@t53)) % 0.44/0.64 (step @p20 (= tptp.iimplied @t55) :rule refl :args (@t55)) % 0.44/0.64 (step @p21 (= tptp.iequiv @t56) :rule refl :args (@t56)) % 0.44/0.64 (step @p22 (= tptp.ixor @t57) :rule refl :args (@t57)) % 0.44/0.64 (step @p23 (= tptp.ivalid @t62) :rule refl :args (@t62)) % 0.44/0.64 (step @p24 (= tptp.isatisfiable @t63) :rule refl :args (@t63)) % 0.44/0.64 (step @p25 (= tptp.icountersatisfiable @t65) :rule refl :args (@t65)) % 0.44/0.64 (step @p26 (= tptp.iinvalid @t66) :rule refl :args (@t66)) % 0.44/0.64 (step @p27 :rule refl :args (@t67)) % 0.44/0.64 (step @p28 :rule refl :args (@t68)) % 0.44/0.64 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t68 @t67))) % 0.44/0.64 (step @p30 :rule symm :premises (@p29)) % 0.44/0.64 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.44/0.64 (step @p32 :rule cong :premises (@p31) :args ((forall @t46 @t68))) % 0.44/0.64 (step @p33 :rule beta-reduce :args ((= @t72 @t68))) % 0.44/0.64 (step @p34 :rule cong :premises (@p33) :args (@t73)) % 0.44/0.64 (step @p35 :rule trans :premises (@p34 @p32)) % 0.44/0.64 (step @p36 :rule beta-reduce :args ((= (_ @t75 @t71) @t73))) % 0.44/0.64 (step @p37 :rule trans :premises (@p36 @p35)) % 0.44/0.64 (step @p38 :rule beta-reduce :args ((= @t76 @t71))) % 0.44/0.64 (step @p39 :rule refl :args (@t75)) % 0.44/0.64 (step @p40 :rule ho_cong :premises (@p39 @p38)) % 0.44/0.64 (step @p41 :rule trans :premises (@p40 @p37)) % 0.44/0.64 (step @p42 :rule refl :args (tptp.a2)) % 0.44/0.64 (step @p43 :rule ho_cong :premises (@p14 @p42)) % 0.44/0.64 (step @p44 :rule refl :args (@t74)) % 0.44/0.64 (step @p45 :rule refl :args (@t59)) % 0.44/0.64 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t59 @t74))) % 0.44/0.64 (step @p47 :rule symm :premises (@p46)) % 0.44/0.64 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.44/0.64 (step @p49 :rule cong :premises (@p48) :args (@t60)) % 0.44/0.64 (step @p50 :rule cong :premises (@p49) :args (@t62)) % 0.44/0.64 (step @p51 :rule trans :premises (@p23 @p50)) % 0.44/0.64 (step @p52 :rule ho_cong :premises (@p51 @p43)) % 0.44/0.64 (step @p53 :rule trans :premises (@p52 @p41)) % 0.44/0.64 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.44/0.64 (step @p55 :rule aci_norm :args ((= @t95 (or @t93 @t89 @t88 @t87 @t86 @t84 @t82 @t80 @t78)))) % 0.44/0.64 (step @p56 :rule cong :premises (@p55) :args (@t96)) % 0.44/0.64 (step @p57 :rule quant-merge-prenex :args ((= (forall @t46 @t98) @t96))) % 0.44/0.64 (step @p58 :rule alpha_equiv :args (@t99 (@list @t79 @t83 @t85 @t81 @t77) (@list @t8 @t103 @t102 @t101 @t100))) % 0.44/0.64 (step @p59 :rule refl :args (@t93)) % 0.44/0.64 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t104)) % 0.44/0.64 (step @p61 :rule quant-miniscope-or :args ((= @t98 @t104))) % 0.44/0.64 (step @p62 :rule trans :premises (@p61 @p60)) % 0.44/0.64 (step @p63 :rule symm :premises (@p62)) % 0.44/0.64 (step @p64 :rule cong :premises (@p63) :args ((forall @t46 @t113))) % 0.44/0.64 (step @p65 :rule trans :premises (@p64 @p57)) % 0.44/0.64 (step @p66 :rule trans :premises (@p65 @p56)) % 0.44/0.64 (step @p67 :rule beta-reduce :args ((= @t119 @t113))) % 0.44/0.64 (step @p68 :rule cong :premises (@p67) :args (@t120)) % 0.44/0.64 (step @p69 :rule trans :premises (@p68 @p66)) % 0.44/0.64 (step @p70 :rule beta-reduce :args ((= (_ @t75 @t118) @t120))) % 0.44/0.64 (step @p71 :rule trans :premises (@p70 @p69)) % 0.44/0.64 (step @p72 :rule aci_norm :args ((= @t123 @t115))) % 0.44/0.64 (step @p73 :rule cong :premises (@p72) :args (@t124)) % 0.44/0.64 (step @p74 :rule quant-merge-prenex :args ((= (forall @t36 @t125) @t124))) % 0.44/0.64 (step @p75 :rule alpha_equiv :args (@t126 (@list @t100) @t128)) % 0.44/0.64 (step @p76 :rule alpha_equiv :args (@t129 (@list @t103 @t102 @t101) (@list @t132 @t131 @t130))) % 0.44/0.64 (step @p77 :rule refl :args (@t114)) % 0.44/0.64 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args (@t133)) % 0.44/0.64 (step @p79 :rule quant-miniscope-or :args ((= @t125 @t133))) % 0.44/0.64 (step @p80 :rule trans :premises (@p79 @p78)) % 0.44/0.64 (step @p81 :rule symm :premises (@p80)) % 0.44/0.64 (step @p82 :rule cong :premises (@p81) :args ((forall @t36 @t143))) % 0.44/0.64 (step @p83 :rule trans :premises (@p82 @p74)) % 0.44/0.64 (step @p84 :rule trans :premises (@p83 @p73)) % 0.44/0.64 (step @p85 :rule aci_norm :args ((= (or @t114 @t144) @t143))) % 0.44/0.64 (step @p86 :rule beta-reduce :args ((= (_ (lambda @t70 (or (forall @t141 (or (not (tptp.irel @t29 @t132)) @t140 @t139 @t138 @t137)) (forall @t135 (or (not (tptp.irel @t29 @t127)) @t134)))) @t8) @t144))) % 0.44/0.64 (step @p87 :rule refl :args (@t8)) % 0.44/0.64 (step @p88 :rule alpha_equiv :args (@t146 @t147 @t128)) % 0.44/0.64 (step @p89 :rule alpha_equiv :args (@t152 @t147 (@list @t132))) % 0.44/0.64 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t153)) % 0.44/0.64 (step @p91 :rule cong :premises (@p90) :args (@t154)) % 0.44/0.64 (step @p92 :rule ho_cong :premises (@p91 @p87)) % 0.44/0.64 (step @p93 :rule trans :premises (@p92 @p86)) % 0.44/0.64 (step @p94 :rule refl :args (@t114)) % 0.44/0.64 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t155)) % 0.44/0.64 (step @p96 :rule trans :premises (@p95 @p85)) % 0.44/0.64 (step @p97 :rule cong :premises (@p96) :args (@t156)) % 0.44/0.64 (step @p98 :rule trans :premises (@p97 @p84)) % 0.44/0.64 (step @p99 :rule refl :args (@t117)) % 0.44/0.64 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t157)) % 0.44/0.64 (step @p101 :rule cong :premises (@p100) :args (@t158)) % 0.44/0.64 (step @p102 :rule beta-reduce :args ((= (_ (lambda @t161 (or @t117 @t160)) @t154) @t158))) % 0.44/0.64 (step @p103 :rule trans :premises (@p102 @p101)) % 0.44/0.64 (step @p104 :rule refl :args (@t145)) % 0.44/0.64 (step @p105 :rule refl :args (@t162)) % 0.44/0.64 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t162 @t145))) % 0.44/0.64 (step @p107 :rule symm :premises (@p106)) % 0.44/0.64 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.44/0.64 (step @p109 :rule nary_cong :premises (@p77 @p108) :args (@t163)) % 0.44/0.64 (step @p110 :rule cong :premises (@p109) :args ((forall @t36 @t163))) % 0.44/0.64 (step @p111 :rule beta-reduce :args ((= @t166 @t162))) % 0.44/0.64 (step @p112 :rule nary_cong :premises (@p94 @p111) :args (@t167)) % 0.44/0.64 (step @p113 :rule cong :premises (@p112) :args (@t168)) % 0.44/0.64 (step @p114 :rule trans :premises (@p113 @p110)) % 0.44/0.64 (step @p115 :rule refl :args (@t152)) % 0.44/0.64 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t169)) % 0.44/0.64 (step @p117 :rule cong :premises (@p116) :args (@t170)) % 0.44/0.64 (step @p118 :rule beta-reduce :args ((= (_ (lambda @t161 (or @t152 @t160)) @t165) @t170))) % 0.44/0.64 (step @p119 :rule trans :premises (@p118 @p117)) % 0.44/0.64 (step @p120 :rule beta-reduce :args ((= @t171 @t165))) % 0.44/0.64 (step @p121 :rule refl :args (@t160)) % 0.44/0.64 (step @p122 :rule aci_norm :args ((= @t174 @t150))) % 0.44/0.64 (step @p123 :rule cong :premises (@p122) :args (@t175)) % 0.44/0.64 (step @p124 :rule quant-merge-prenex :args ((= (forall @t36 @t176) @t175))) % 0.44/0.64 (step @p125 :rule alpha_equiv :args (@t177 (@list @t130) @t179)) % 0.44/0.64 (step @p126 :rule alpha_equiv :args (@t180 (@list @t131) @t182)) % 0.44/0.64 (step @p127 :rule nary_cong :premises (@p77 @p126 @p125) :args (@t183)) % 0.44/0.64 (step @p128 :rule quant-miniscope-or :args ((= @t176 @t183))) % 0.44/0.64 (step @p129 :rule trans :premises (@p128 @p127)) % 0.44/0.64 (step @p130 :rule symm :premises (@p129)) % 0.44/0.64 (step @p131 :rule cong :premises (@p130) :args ((forall @t36 @t190))) % 0.44/0.64 (step @p132 :rule trans :premises (@p131 @p124)) % 0.44/0.64 (step @p133 :rule trans :premises (@p132 @p123)) % 0.44/0.64 (step @p134 :rule aci_norm :args ((= (or @t114 @t191) @t190))) % 0.44/0.64 (step @p135 :rule beta-reduce :args ((= (_ (lambda @t70 (or (forall @t188 (or (not (tptp.irel @t29 @t181)) @t187)) (forall @t185 (or (not (tptp.irel @t29 @t178)) @t184)))) @t8) @t191))) % 0.44/0.64 (step @p136 :rule alpha_equiv :args (@t193 @t147 @t179)) % 0.44/0.64 (step @p137 :rule alpha_equiv :args (@t146 @t147 @t182)) % 0.44/0.64 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t194)) % 0.44/0.64 (step @p139 :rule cong :premises (@p138) :args (@t195)) % 0.44/0.64 (step @p140 :rule ho_cong :premises (@p139 @p87)) % 0.44/0.64 (step @p141 :rule trans :premises (@p140 @p135)) % 0.44/0.64 (step @p142 :rule nary_cong :premises (@p94 @p141) :args (@t196)) % 0.44/0.64 (step @p143 :rule trans :premises (@p142 @p134)) % 0.44/0.64 (step @p144 :rule cong :premises (@p143) :args (@t197)) % 0.44/0.64 (step @p145 :rule trans :premises (@p144 @p133)) % 0.44/0.64 (step @p146 :rule nary_cong :premises (@p145 @p121) :args (@t198)) % 0.44/0.64 (step @p147 :rule cong :premises (@p146) :args (@t199)) % 0.44/0.64 (step @p148 :rule beta-reduce :args ((= (_ @t203 @t195) @t199))) % 0.44/0.64 (step @p149 :rule trans :premises (@p148 @p147)) % 0.44/0.64 (step @p150 :rule refl :args (@t192)) % 0.44/0.64 (step @p151 :rule refl :args (@t204)) % 0.44/0.64 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t204 @t192))) % 0.44/0.64 (step @p153 :rule symm :premises (@p152)) % 0.44/0.64 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.44/0.64 (step @p155 :rule nary_cong :premises (@p77 @p154) :args (@t205)) % 0.44/0.64 (step @p156 :rule cong :premises (@p155) :args ((forall @t36 @t205))) % 0.44/0.64 (step @p157 :rule beta-reduce :args ((= @t208 @t204))) % 0.44/0.64 (step @p158 :rule nary_cong :premises (@p94 @p157) :args (@t209)) % 0.44/0.64 (step @p159 :rule cong :premises (@p158) :args (@t210)) % 0.44/0.64 (step @p160 :rule trans :premises (@p159 @p156)) % 0.44/0.64 (step @p161 :rule refl :args (@t146)) % 0.44/0.64 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t211)) % 0.44/0.64 (step @p163 :rule cong :premises (@p162) :args (@t212)) % 0.44/0.64 (step @p164 :rule beta-reduce :args ((= (_ (lambda @t161 (or @t146 @t160)) @t207) @t212))) % 0.44/0.64 (step @p165 :rule trans :premises (@p164 @p163)) % 0.44/0.64 (step @p166 :rule beta-reduce :args ((= @t213 @t207))) % 0.44/0.64 (step @p167 :rule nary_cong :premises (@p114 @p121) :args (@t214)) % 0.44/0.64 (step @p168 :rule cong :premises (@p167) :args (@t215)) % 0.44/0.64 (step @p169 :rule beta-reduce :args ((= (_ @t203 @t165) @t215))) % 0.44/0.64 (step @p170 :rule trans :premises (@p169 @p168)) % 0.44/0.64 (step @p171 :rule refl :args (@t203)) % 0.44/0.64 (step @p172 :rule ho_cong :premises (@p171 @p120)) % 0.44/0.64 (step @p173 :rule trans :premises (@p172 @p170)) % 0.44/0.64 (step 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0.44/0.64 (step @p658 :rule chain_m_resolution :premises (@p657 @p656 @p654) :args ((not @t388) @t482 (@list @t390 @t389))) % 0.44/0.64 (assume-push @p667 @t486) % 0.44/0.64 (step @p660 :rule instantiate :premises (@p54) :args ((@list @t280))) % 0.44/0.64 (step-pop @p668 :rule scope :premises (@p660)) % 0.44/0.64 (step @p661 :rule process_scope :premises (@p668) :args (@t388)) % 0.44/0.64 (step @p663 :rule implies_elim :premises (@p661)) % 0.44/0.64 (step @p664 false :rule chain_m_resolution :premises (@p663 @p658 @p54) :args (false @t482 (@list @t388 @t486))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------