%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO068^4.005 : 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 : n015.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 09:11:56 AM UTC 2026 % Result : Theorem 0.51s 0.70s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO068^4.005 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:57:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.51/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.70 % SZS status Theorem % 0.51/0.70 % SZS output start Proof % 0.51/0.70 ( % 0.51/0.70 (declare-sort $$unsorted 0) % 0.51/0.70 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.p2 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.p0 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.p3 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.p5 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.p4 (-> $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.51/0.70 (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)))))) % 0.51/0.70 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.51/0.70 (define tptp.mand () (let ((_let_1 (@var "U" $$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))))))) % 0.51/0.70 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.51/0.70 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$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)))))))) % 0.51/0.70 (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))))) % 0.51/0.70 (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))))) % 0.51/0.70 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.51/0.70 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.51/0.70 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.51/0.70 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.51/0.70 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 0.51/0.70 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.51/0.70 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 0.51/0.70 (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.51/0.70 (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.51/0.70 (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.51/0.70 (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.51/0.70 (define @t1 () (@var "X" $$unsorted)) % 0.51/0.70 (define @t2 () (_ tptp.irel @t1)) % 0.51/0.70 (define @t3 () (_ @t2 @t1)) % 0.51/0.70 (define @t4 () (@list @t1)) % 0.51/0.70 (define @t5 () (forall @t4 @t3)) % 0.51/0.70 (define @t6 () (@var "Z" $$unsorted)) % 0.51/0.70 (define @t7 () (@var "Y" $$unsorted)) % 0.51/0.70 (define @t8 () (_ @t2 @t7)) % 0.51/0.70 (define @t9 () (_ tptp.iatom tptp.p5)) % 0.51/0.70 (define @t10 () (_ tptp.iatom tptp.p0)) % 0.51/0.70 (define @t11 () (_ tptp.iatom tptp.p1)) % 0.51/0.70 (define @t12 () (_ tptp.iimplies @t11)) % 0.51/0.70 (define @t13 () (_ tptp.iatom tptp.p2)) % 0.51/0.70 (define @t14 () (_ tptp.iimplies @t13)) % 0.51/0.70 (define @t15 () (_ tptp.iatom tptp.p3)) % 0.51/0.70 (define @t16 () (_ tptp.iimplies @t15)) % 0.51/0.70 (define @t17 () (_ tptp.iatom tptp.p4)) % 0.51/0.70 (define @t18 () (_ tptp.iimplies @t17)) % 0.51/0.70 (define @t19 () (_ tptp.iimplies @t9)) % 0.51/0.70 (define @t20 () (not (_ tptp.ivalid @t10))) % 0.51/0.70 (define @t21 () (@var "U" $$unsorted)) % 0.51/0.70 (define @t22 () (@var "X" (-> $$unsorted Bool))) % 0.51/0.70 (define @t23 () (_ @t22 @t21)) % 0.51/0.70 (define @t24 () (lambda (@list @t22 @t21) (not @t23))) % 0.51/0.70 (define @t25 () (@var "Y" (-> $$unsorted Bool))) % 0.51/0.70 (define @t26 () (_ @t25 @t21)) % 0.51/0.70 (define @t27 () (@list @t22 @t25 @t21)) % 0.51/0.70 (define @t28 () (lambda @t27 (or @t23 @t26))) % 0.51/0.70 (define @t29 () (lambda @t27 (and @t23 @t26))) % 0.51/0.70 (define @t30 () (@var "__flatten_var_0" $$unsorted)) % 0.51/0.70 (define @t31 () (@var "V" (-> $$unsorted Bool))) % 0.51/0.70 (define @t32 () (@var "U" (-> $$unsorted Bool))) % 0.51/0.70 (define @t33 () (@list @t32 @t31 @t30)) % 0.51/0.70 (define @t34 () (lambda @t33 (_ (_ (_ tptp.mor (_ tptp.mnot @t32)) @t31) @t30))) % 0.51/0.70 (define @t35 () (@var "P" (-> $$unsorted Bool))) % 0.51/0.70 (define @t36 () (_ @t35 @t7)) % 0.51/0.70 (define @t37 () (@list @t7)) % 0.51/0.70 (define @t38 () (forall @t37 (=> @t8 @t36))) % 0.51/0.70 (define @t39 () (@list @t35 @t1)) % 0.51/0.70 (define @t40 () (lambda @t39 @t38)) % 0.51/0.70 (define @t41 () (@list @t35 @t30)) % 0.51/0.70 (define @t42 () (lambda @t41 (_ @t35 @t30))) % 0.51/0.70 (define @t43 () (_ tptp.mbox_s4 @t35)) % 0.51/0.70 (define @t44 () (lambda @t41 (_ (_ tptp.mnot @t43) @t30))) % 0.51/0.70 (define @t45 () (@var "W" $$unsorted)) % 0.51/0.70 (define @t46 () (@list @t45)) % 0.51/0.70 (define @t47 () (lambda @t46 true)) % 0.51/0.70 (define @t48 () (@var "Q" (-> $$unsorted Bool))) % 0.51/0.70 (define @t49 () (@list @t35 @t48 @t30)) % 0.51/0.70 (define @t50 () (lambda @t49 (_ (_ (_ tptp.mand @t35) @t48) @t30))) % 0.51/0.70 (define @t51 () (_ tptp.mbox_s4 @t48)) % 0.51/0.70 (define @t52 () (lambda @t49 (_ (_ (_ tptp.mor @t43) @t51) @t30))) % 0.51/0.70 (define @t53 () (lambda @t49 (_ (_ (_ tptp.mimplies @t43) @t51) @t30))) % 0.51/0.70 (define @t54 () (_ (_ tptp.iimplies @t48) @t35)) % 0.51/0.70 (define @t55 () (lambda @t49 (_ @t54 @t30))) % 0.51/0.70 (define @t56 () (lambda @t49 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t35) @t48)) @t54) @t30))) % 0.51/0.70 (define @t57 () (lambda @t49 (_ (_ tptp.inot (_ (_ tptp.iequiv @t35) @t48)) @t30))) % 0.51/0.70 (define @t58 () (@var "Phi" (-> $$unsorted Bool))) % 0.51/0.70 (define @t59 () (_ @t58 @t45)) % 0.51/0.70 (define @t60 () (forall @t46 @t59)) % 0.51/0.70 (define @t61 () (@list @t58)) % 0.51/0.70 (define @t62 () (lambda @t61 @t60)) % 0.51/0.70 (define @t63 () (lambda @t61 (exists @t46 @t59))) % 0.51/0.70 (define @t64 () (not @t59)) % 0.51/0.70 (define @t65 () (lambda @t61 (exists @t46 @t64))) % 0.51/0.70 (define @t66 () (lambda @t61 (forall @t46 @t64))) % 0.51/0.70 (define @t67 () (tptp.p5 @t45)) % 0.51/0.70 (define @t68 () (_ tptp.p5 @t45)) % 0.51/0.70 (define @t69 () (@list @t30)) % 0.51/0.70 (define @t70 () (lambda @t69 (_ tptp.p5 @t30))) % 0.51/0.70 (define @t71 () (_ @t70 @t45)) % 0.51/0.70 (define @t72 () (forall @t46 @t71)) % 0.51/0.70 (define @t73 () (_ @t58 @t45)) % 0.51/0.70 (define @t74 () (lambda @t61 (forall @t46 @t73))) % 0.51/0.70 (define @t75 () (tptp.p5 @t7)) % 0.51/0.70 (define @t76 () (tptp.p0 @t45)) % 0.51/0.70 (define @t77 () (@quantifiers_skolemize (forall @t46 @t76) 0)) % 0.51/0.70 (define @t78 () (not (tptp.irel @t77 @t7))) % 0.51/0.70 (define @t79 () (forall @t37 (or @t78 @t75))) % 0.51/0.70 (define @t80 () (@list @t7)) % 0.51/0.70 (define @t81 () (@var "BOUND_VARIABLE_8550" $$unsorted)) % 0.51/0.70 (define @t82 () (@list @t81)) % 0.51/0.70 (define @t83 () (tptp.irel @t1 @t1)) % 0.51/0.70 (define @t84 () (tptp.p4 @t7)) % 0.51/0.70 (define @t85 () (forall @t37 (or @t78 @t84))) % 0.51/0.70 (define @t86 () (@var "BOUND_VARIABLE_8441" $$unsorted)) % 0.51/0.70 (define @t87 () (@list @t86)) % 0.51/0.70 (define @t88 () (tptp.p3 @t7)) % 0.51/0.70 (define @t89 () (forall @t37 (or @t78 @t88))) % 0.51/0.70 (define @t90 () (@var "BOUND_VARIABLE_8329" $$unsorted)) % 0.51/0.70 (define @t91 () (@list @t90)) % 0.51/0.70 (define @t92 () (tptp.p2 @t7)) % 0.51/0.70 (define @t93 () (forall @t37 (or @t78 @t92))) % 0.51/0.70 (define @t94 () (@var "BOUND_VARIABLE_8217" $$unsorted)) % 0.51/0.70 (define @t95 () (@list @t94)) % 0.51/0.70 (define @t96 () (tptp.p1 @t7)) % 0.51/0.70 (define @t97 () (forall @t37 (or @t78 @t96))) % 0.51/0.70 (define @t98 () (@var "BOUND_VARIABLE_8103" $$unsorted)) % 0.51/0.70 (define @t99 () (@list @t98)) % 0.51/0.70 (define @t100 () (_ tptp.p0 @t45)) % 0.51/0.70 (define @t101 () (lambda @t69 (_ tptp.p0 @t30))) % 0.51/0.70 (define @t102 () (_ @t101 @t45)) % 0.51/0.70 (define @t103 () (forall @t46 @t102)) % 0.51/0.70 (define @t104 () (_ @t42 tptp.p0)) % 0.51/0.70 (define @t105 () (@var "BOUND_VARIABLE_8155" $$unsorted)) % 0.51/0.70 (define @t106 () (tptp.p0 @t105)) % 0.51/0.70 (define @t107 () (@var "BOUND_VARIABLE_8153" $$unsorted)) % 0.51/0.70 (define @t108 () (not (tptp.irel @t107 @t105))) % 0.51/0.70 (define @t109 () (tptp.p1 @t98)) % 0.51/0.70 (define @t110 () (@list @t98)) % 0.51/0.70 (define @t111 () (not (forall @t110 (or (not (tptp.irel @t107 @t98)) @t109)))) % 0.51/0.70 (define @t112 () (not (tptp.irel @t45 @t107))) % 0.51/0.70 (define @t113 () (not (tptp.irel @t45 @t7))) % 0.51/0.70 (define @t114 () (not (forall @t37 (or @t113 @t96)))) % 0.51/0.70 (define @t115 () (or @t112 @t111 @t108 @t106)) % 0.51/0.70 (define @t116 () (or @t114 @t115)) % 0.51/0.70 (define @t117 () (forall (@list @t45 @t107 @t105) @t116)) % 0.51/0.70 (define @t118 () (@list @t107 @t105)) % 0.51/0.70 (define @t119 () (forall @t118 @t116)) % 0.51/0.70 (define @t120 () (forall @t118 @t115)) % 0.51/0.70 (define @t121 () (@var "BOUND_VARIABLE_8128" $$unsorted)) % 0.51/0.70 (define @t122 () (or @t114 @t120)) % 0.51/0.70 (define @t123 () (tptp.p0 @t121)) % 0.51/0.70 (define @t124 () (not (tptp.irel @t7 @t121))) % 0.51/0.70 (define @t125 () (not (forall @t110 (or (not (tptp.irel @t7 @t98)) @t109)))) % 0.51/0.70 (define @t126 () (@list @t7 @t121)) % 0.51/0.70 (define @t127 () (or @t114 (forall @t126 (or @t113 @t125 @t124 @t123)))) % 0.51/0.70 (define @t128 () (not (tptp.irel @t30 @t7))) % 0.51/0.70 (define @t129 () (or @t128 @t125 @t124 @t123)) % 0.51/0.70 (define @t130 () (forall @t37 (or @t128 @t96))) % 0.51/0.70 (define @t131 () (not @t130)) % 0.51/0.70 (define @t132 () (lambda @t69 (or @t131 (forall @t126 @t129)))) % 0.51/0.70 (define @t133 () (_ @t132 @t45)) % 0.51/0.70 (define @t134 () (forall @t46 @t133)) % 0.51/0.70 (define @t135 () (or @t124 @t123)) % 0.51/0.70 (define @t136 () (or @t128 @t125 @t135)) % 0.51/0.70 (define @t137 () (forall @t126 @t136)) % 0.51/0.70 (define @t138 () (@list @t121)) % 0.51/0.70 (define @t139 () (forall @t138 @t136)) % 0.51/0.70 (define @t140 () (forall @t138 @t135)) % 0.51/0.70 (define @t141 () (@var "BOUND_VARIABLE_8095" $$unsorted)) % 0.51/0.70 (define @t142 () (@list @t141)) % 0.51/0.70 (define @t143 () (or @t128 @t125 @t140)) % 0.51/0.70 (define @t144 () (tptp.p0 @t141)) % 0.51/0.70 (define @t145 () (@list @t141)) % 0.51/0.70 (define @t146 () (forall @t145 (or (not (tptp.irel @t7 @t141)) @t144))) % 0.51/0.70 (define @t147 () (or @t128 @t125 @t146)) % 0.51/0.70 (define @t148 () (or @t125 @t146)) % 0.51/0.70 (define @t149 () (tptp.p0 @t7)) % 0.51/0.70 (define @t150 () (forall @t37 (or @t128 @t149))) % 0.51/0.70 (define @t151 () (or @t131 @t150)) % 0.51/0.70 (define @t152 () (lambda @t69 @t151)) % 0.51/0.70 (define @t153 () (or @t128 (_ @t152 @t7))) % 0.51/0.70 (define @t154 () (forall @t37 @t153)) % 0.51/0.70 (define @t155 () (or @t131 @t154)) % 0.51/0.70 (define @t156 () (lambda @t69 @t155)) % 0.51/0.70 (define @t157 () (_ @t48 @t7)) % 0.51/0.70 (define @t158 () (forall @t37 (or @t128 @t157))) % 0.51/0.70 (define @t159 () (@list @t48 @t30)) % 0.51/0.70 (define @t160 () (lambda @t159 (or @t131 @t158))) % 0.51/0.70 (define @t161 () (_ tptp.p0 @t7)) % 0.51/0.70 (define @t162 () (or @t128 @t161)) % 0.51/0.70 (define @t163 () (_ @t101 @t7)) % 0.51/0.70 (define @t164 () (or @t128 @t163)) % 0.51/0.70 (define @t165 () (forall @t37 @t164)) % 0.51/0.70 (define @t166 () (or @t131 @t165)) % 0.51/0.70 (define @t167 () (lambda @t69 @t166)) % 0.51/0.70 (define @t168 () (_ tptp.p1 @t7)) % 0.51/0.70 (define @t169 () (or @t128 @t168)) % 0.51/0.70 (define @t170 () (lambda @t69 (_ tptp.p1 @t30))) % 0.51/0.70 (define @t171 () (_ @t170 @t7)) % 0.51/0.70 (define @t172 () (or @t128 @t171)) % 0.51/0.70 (define @t173 () (forall @t37 @t172)) % 0.51/0.70 (define @t174 () (not @t173)) % 0.51/0.70 (define @t175 () (or @t174 @t158)) % 0.51/0.70 (define @t176 () (lambda @t159 @t175)) % 0.51/0.70 (define @t177 () (_ @t35 @t7)) % 0.51/0.70 (define @t178 () (forall @t37 (or @t128 @t177))) % 0.51/0.70 (define @t179 () (not @t178)) % 0.51/0.70 (define @t180 () (or @t179 @t158)) % 0.51/0.70 (define @t181 () (lambda @t49 @t180)) % 0.51/0.70 (define @t182 () (tptp.irel @t1 @t7)) % 0.51/0.70 (define @t183 () (not @t182)) % 0.51/0.70 (define @t184 () (lambda @t4 (forall @t37 (or @t183 @t157)))) % 0.51/0.70 (define @t185 () (_ @t184 @t30)) % 0.51/0.70 (define @t186 () (or @t179 @t185)) % 0.51/0.70 (define @t187 () (lambda @t69 @t186)) % 0.51/0.70 (define @t188 () (_ @t31 @t30)) % 0.51/0.70 (define @t189 () (@list @t31 @t30)) % 0.51/0.70 (define @t190 () (forall @t37 (or @t183 @t177))) % 0.51/0.70 (define @t191 () (lambda @t39 @t190)) % 0.51/0.70 (define @t192 () (lambda @t4 @t190)) % 0.51/0.70 (define @t193 () (_ @t192 @t30)) % 0.51/0.70 (define @t194 () (not @t193)) % 0.51/0.70 (define @t195 () (or @t194 @t188)) % 0.51/0.70 (define @t196 () (lambda @t189 @t195)) % 0.51/0.70 (define @t197 () (or (not (_ @t32 @t30)) @t188)) % 0.51/0.70 (define @t198 () (lambda @t33 @t197)) % 0.51/0.70 (define @t199 () (not @t8)) % 0.51/0.70 (define @t200 () (or @t199 @t36)) % 0.51/0.70 (define @t201 () (not (_ @t32 @t21))) % 0.51/0.70 (define @t202 () (@list @t21)) % 0.51/0.70 (define @t203 () (lambda @t202 (or @t201 (_ @t31 @t21)))) % 0.51/0.70 (define @t204 () (@list @t25 @t21)) % 0.51/0.70 (define @t205 () (lambda @t202 @t201)) % 0.51/0.70 (define @t206 () (_ @t205 @t21)) % 0.51/0.70 (define @t207 () (or @t206 @t26)) % 0.51/0.70 (define @t208 () (lambda @t204 @t207)) % 0.51/0.70 (define @t209 () (tptp.p0 @t77)) % 0.51/0.70 (define @t210 () (tptp.irel @t77 @t77)) % 0.51/0.70 (define @t211 () (not @t210)) % 0.51/0.70 (define @t212 () (forall @t110 (or (not (tptp.irel @t77 @t98)) @t109))) % 0.51/0.70 (define @t213 () (not @t212)) % 0.51/0.70 (define @t214 () (not @t97)) % 0.51/0.70 (define @t215 () (or @t214 @t211 @t213 @t211 @t209)) % 0.51/0.70 (define @t216 () (@quantifiers_skolemize @t97 0)) % 0.51/0.70 (define @t217 () (tptp.irel @t77 @t216)) % 0.51/0.70 (define @t218 () (tptp.p1 @t216)) % 0.51/0.70 (define @t219 () (not @t217)) % 0.51/0.70 (define @t220 () (or @t219 @t218)) % 0.51/0.70 (define @t221 () (@list true)) % 0.51/0.70 (define @t222 () (@list @t220)) % 0.51/0.70 (define @t223 () (@var "BOUND_VARIABLE_8267" $$unsorted)) % 0.51/0.70 (define @t224 () (tptp.p1 @t223)) % 0.51/0.70 (define @t225 () (@var "BOUND_VARIABLE_8265" $$unsorted)) % 0.51/0.70 (define @t226 () (not (tptp.irel @t225 @t223))) % 0.51/0.70 (define @t227 () (tptp.p2 @t94)) % 0.51/0.70 (define @t228 () (@list @t94)) % 0.51/0.70 (define @t229 () (not (forall @t228 (or (not (tptp.irel @t225 @t94)) @t227)))) % 0.51/0.70 (define @t230 () (not (tptp.irel @t45 @t225))) % 0.51/0.70 (define @t231 () (not (forall @t37 (or @t113 @t92)))) % 0.51/0.70 (define @t232 () (or @t230 @t229 @t226 @t224)) % 0.51/0.70 (define @t233 () (or @t231 @t232)) % 0.51/0.70 (define @t234 () (forall (@list @t45 @t225 @t223) @t233)) % 0.51/0.70 (define @t235 () (@list @t225 @t223)) % 0.51/0.70 (define @t236 () (forall @t235 @t233)) % 0.51/0.70 (define @t237 () (forall @t235 @t232)) % 0.51/0.70 (define @t238 () (@var "BOUND_VARIABLE_8242" $$unsorted)) % 0.51/0.70 (define @t239 () (or @t231 @t237)) % 0.51/0.70 (define @t240 () (tptp.p1 @t238)) % 0.51/0.70 (define @t241 () (not (tptp.irel @t7 @t238))) % 0.51/0.70 (define @t242 () (not (forall @t228 (or (not (tptp.irel @t7 @t94)) @t227)))) % 0.51/0.70 (define @t243 () (@list @t7 @t238)) % 0.51/0.70 (define @t244 () (or @t231 (forall @t243 (or @t113 @t242 @t241 @t240)))) % 0.51/0.70 (define @t245 () (or @t128 @t242 @t241 @t240)) % 0.51/0.70 (define @t246 () (forall @t37 (or @t128 @t92))) % 0.51/0.70 (define @t247 () (not @t246)) % 0.51/0.70 (define @t248 () (lambda @t69 (or @t247 (forall @t243 @t245)))) % 0.51/0.70 (define @t249 () (_ @t248 @t45)) % 0.51/0.70 (define @t250 () (forall @t46 @t249)) % 0.51/0.70 (define @t251 () (or @t241 @t240)) % 0.51/0.70 (define @t252 () (or @t128 @t242 @t251)) % 0.51/0.70 (define @t253 () (forall @t243 @t252)) % 0.51/0.70 (define @t254 () (@list @t238)) % 0.51/0.70 (define @t255 () (forall @t254 @t252)) % 0.51/0.70 (define @t256 () (forall @t254 @t251)) % 0.51/0.70 (define @t257 () (@var "BOUND_VARIABLE_8209" $$unsorted)) % 0.51/0.70 (define @t258 () (@list @t257)) % 0.51/0.70 (define @t259 () (or @t128 @t242 @t256)) % 0.51/0.70 (define @t260 () (tptp.p1 @t257)) % 0.51/0.70 (define @t261 () (@list @t257)) % 0.51/0.70 (define @t262 () (forall @t261 (or (not (tptp.irel @t7 @t257)) @t260))) % 0.51/0.70 (define @t263 () (or @t128 @t242 @t262)) % 0.51/0.70 (define @t264 () (or @t242 @t262)) % 0.51/0.70 (define @t265 () (or @t247 @t130)) % 0.51/0.70 (define @t266 () (lambda @t69 @t265)) % 0.51/0.70 (define @t267 () (or @t128 (_ @t266 @t7))) % 0.51/0.70 (define @t268 () (forall @t37 @t267)) % 0.51/0.70 (define @t269 () (or @t247 @t268)) % 0.51/0.70 (define @t270 () (lambda @t69 @t269)) % 0.51/0.70 (define @t271 () (lambda @t159 (or @t247 @t158))) % 0.51/0.70 (define @t272 () (or @t247 @t173)) % 0.51/0.70 (define @t273 () (lambda @t69 @t272)) % 0.51/0.70 (define @t274 () (_ tptp.p2 @t7)) % 0.51/0.70 (define @t275 () (or @t128 @t274)) % 0.51/0.70 (define @t276 () (lambda @t69 (_ tptp.p2 @t30))) % 0.51/0.70 (define @t277 () (_ @t276 @t7)) % 0.51/0.70 (define @t278 () (or @t128 @t277)) % 0.51/0.70 (define @t279 () (forall @t37 @t278)) % 0.51/0.70 (define @t280 () (not @t279)) % 0.51/0.70 (define @t281 () (or @t280 @t158)) % 0.51/0.70 (define @t282 () (lambda @t159 @t281)) % 0.51/0.70 (define @t283 () (forall @t228 (or (not (tptp.irel @t77 @t94)) @t227))) % 0.51/0.70 (define @t284 () (not @t283)) % 0.51/0.70 (define @t285 () (not @t93)) % 0.51/0.70 (define @t286 () (or @t285 @t211 @t284 @t219 @t218)) % 0.51/0.70 (define @t287 () (@list false true false false false)) % 0.51/0.70 (define @t288 () (@quantifiers_skolemize @t93 0)) % 0.51/0.70 (define @t289 () (tptp.irel @t77 @t288)) % 0.51/0.70 (define @t290 () (tptp.p2 @t288)) % 0.51/0.70 (define @t291 () (not @t289)) % 0.51/0.70 (define @t292 () (or @t291 @t290)) % 0.51/0.70 (define @t293 () (@list @t292)) % 0.51/0.70 (define @t294 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 0.51/0.70 (define @t295 () (tptp.p2 @t294)) % 0.51/0.70 (define @t296 () (@var "BOUND_VARIABLE_8377" $$unsorted)) % 0.51/0.70 (define @t297 () (not (tptp.irel @t296 @t294))) % 0.51/0.70 (define @t298 () (tptp.p3 @t90)) % 0.51/0.70 (define @t299 () (@list @t90)) % 0.51/0.70 (define @t300 () (not (forall @t299 (or (not (tptp.irel @t296 @t90)) @t298)))) % 0.51/0.70 (define @t301 () (not (tptp.irel @t45 @t296))) % 0.51/0.70 (define @t302 () (not (forall @t37 (or @t113 @t88)))) % 0.51/0.70 (define @t303 () (or @t301 @t300 @t297 @t295)) % 0.51/0.70 (define @t304 () (or @t302 @t303)) % 0.51/0.70 (define @t305 () (forall (@list @t45 @t296 @t294) @t304)) % 0.51/0.70 (define @t306 () (@list @t296 @t294)) % 0.51/0.70 (define @t307 () (forall @t306 @t304)) % 0.51/0.70 (define @t308 () (forall @t306 @t303)) % 0.51/0.70 (define @t309 () (@var "BOUND_VARIABLE_8354" $$unsorted)) % 0.51/0.70 (define @t310 () (or @t302 @t308)) % 0.51/0.70 (define @t311 () (tptp.p2 @t309)) % 0.51/0.70 (define @t312 () (not (tptp.irel @t7 @t309))) % 0.51/0.70 (define @t313 () (not (forall @t299 (or (not (tptp.irel @t7 @t90)) @t298)))) % 0.51/0.70 (define @t314 () (@list @t7 @t309)) % 0.51/0.70 (define @t315 () (or @t302 (forall @t314 (or @t113 @t313 @t312 @t311)))) % 0.51/0.70 (define @t316 () (or @t128 @t313 @t312 @t311)) % 0.51/0.70 (define @t317 () (forall @t37 (or @t128 @t88))) % 0.51/0.70 (define @t318 () (not @t317)) % 0.51/0.70 (define @t319 () (lambda @t69 (or @t318 (forall @t314 @t316)))) % 0.51/0.70 (define @t320 () (_ @t319 @t45)) % 0.51/0.70 (define @t321 () (forall @t46 @t320)) % 0.51/0.70 (define @t322 () (or @t312 @t311)) % 0.51/0.70 (define @t323 () (or @t128 @t313 @t322)) % 0.51/0.70 (define @t324 () (forall @t314 @t323)) % 0.51/0.70 (define @t325 () (@list @t309)) % 0.51/0.70 (define @t326 () (forall @t325 @t323)) % 0.51/0.70 (define @t327 () (forall @t325 @t322)) % 0.51/0.70 (define @t328 () (@var "BOUND_VARIABLE_8321" $$unsorted)) % 0.51/0.70 (define @t329 () (@list @t328)) % 0.51/0.70 (define @t330 () (or @t128 @t313 @t327)) % 0.51/0.70 (define @t331 () (tptp.p2 @t328)) % 0.51/0.70 (define @t332 () (@list @t328)) % 0.51/0.70 (define @t333 () (forall @t332 (or (not (tptp.irel @t7 @t328)) @t331))) % 0.51/0.70 (define @t334 () (or @t128 @t313 @t333)) % 0.51/0.70 (define @t335 () (or @t313 @t333)) % 0.51/0.70 (define @t336 () (or @t318 @t246)) % 0.51/0.70 (define @t337 () (lambda @t69 @t336)) % 0.51/0.70 (define @t338 () (or @t128 (_ @t337 @t7))) % 0.51/0.70 (define @t339 () (forall @t37 @t338)) % 0.51/0.70 (define @t340 () (or @t318 @t339)) % 0.51/0.70 (define @t341 () (lambda @t69 @t340)) % 0.51/0.70 (define @t342 () (lambda @t159 (or @t318 @t158))) % 0.51/0.70 (define @t343 () (or @t318 @t279)) % 0.51/0.70 (define @t344 () (lambda @t69 @t343)) % 0.51/0.70 (define @t345 () (_ tptp.p3 @t7)) % 0.51/0.70 (define @t346 () (or @t128 @t345)) % 0.51/0.70 (define @t347 () (lambda @t69 (_ tptp.p3 @t30))) % 0.51/0.70 (define @t348 () (_ @t347 @t7)) % 0.51/0.70 (define @t349 () (or @t128 @t348)) % 0.51/0.70 (define @t350 () (forall @t37 @t349)) % 0.51/0.70 (define @t351 () (not @t350)) % 0.51/0.70 (define @t352 () (or @t351 @t158)) % 0.51/0.70 (define @t353 () (lambda @t159 @t352)) % 0.51/0.70 (define @t354 () (forall @t299 (or (not (tptp.irel @t77 @t90)) @t298))) % 0.51/0.70 (define @t355 () (not @t354)) % 0.51/0.70 (define @t356 () (not @t89)) % 0.51/0.70 (define @t357 () (or @t356 @t211 @t355 @t291 @t290)) % 0.51/0.70 (define @t358 () (@quantifiers_skolemize @t89 0)) % 0.51/0.70 (define @t359 () (tptp.irel @t77 @t358)) % 0.51/0.70 (define @t360 () (tptp.p3 @t358)) % 0.51/0.70 (define @t361 () (not @t359)) % 0.51/0.70 (define @t362 () (or @t361 @t360)) % 0.51/0.70 (define @t363 () (@list @t362)) % 0.51/0.70 (define @t364 () (@var "BOUND_VARIABLE_8491" $$unsorted)) % 0.51/0.70 (define @t365 () (tptp.p3 @t364)) % 0.51/0.70 (define @t366 () (@var "BOUND_VARIABLE_8489" $$unsorted)) % 0.51/0.70 (define @t367 () (not (tptp.irel @t366 @t364))) % 0.51/0.70 (define @t368 () (tptp.p4 @t86)) % 0.51/0.70 (define @t369 () (@list @t86)) % 0.51/0.70 (define @t370 () (not (forall @t369 (or (not (tptp.irel @t366 @t86)) @t368)))) % 0.51/0.70 (define @t371 () (not (tptp.irel @t45 @t366))) % 0.51/0.70 (define @t372 () (not (forall @t37 (or @t113 @t84)))) % 0.51/0.70 (define @t373 () (or @t371 @t370 @t367 @t365)) % 0.51/0.70 (define @t374 () (or @t372 @t373)) % 0.51/0.70 (define @t375 () (forall (@list @t45 @t366 @t364) @t374)) % 0.51/0.70 (define @t376 () (@list @t366 @t364)) % 0.51/0.70 (define @t377 () (forall @t376 @t374)) % 0.51/0.70 (define @t378 () (forall @t376 @t373)) % 0.51/0.70 (define @t379 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 0.51/0.70 (define @t380 () (or @t372 @t378)) % 0.51/0.70 (define @t381 () (tptp.p3 @t379)) % 0.51/0.70 (define @t382 () (not (tptp.irel @t7 @t379))) % 0.51/0.70 (define @t383 () (not (forall @t369 (or (not (tptp.irel @t7 @t86)) @t368)))) % 0.51/0.70 (define @t384 () (@list @t7 @t379)) % 0.51/0.70 (define @t385 () (or @t372 (forall @t384 (or @t113 @t383 @t382 @t381)))) % 0.51/0.70 (define @t386 () (or @t128 @t383 @t382 @t381)) % 0.51/0.70 (define @t387 () (forall @t37 (or @t128 @t84))) % 0.51/0.70 (define @t388 () (not @t387)) % 0.51/0.70 (define @t389 () (lambda @t69 (or @t388 (forall @t384 @t386)))) % 0.51/0.70 (define @t390 () (_ @t389 @t45)) % 0.51/0.70 (define @t391 () (forall @t46 @t390)) % 0.51/0.70 (define @t392 () (or @t382 @t381)) % 0.51/0.70 (define @t393 () (or @t128 @t383 @t392)) % 0.51/0.70 (define @t394 () (forall @t384 @t393)) % 0.51/0.70 (define @t395 () (@list @t379)) % 0.51/0.70 (define @t396 () (forall @t395 @t393)) % 0.51/0.70 (define @t397 () (forall @t395 @t392)) % 0.51/0.70 (define @t398 () (@var "BOUND_VARIABLE_8433" $$unsorted)) % 0.51/0.70 (define @t399 () (@list @t398)) % 0.51/0.70 (define @t400 () (or @t128 @t383 @t397)) % 0.51/0.70 (define @t401 () (tptp.p3 @t398)) % 0.51/0.70 (define @t402 () (@list @t398)) % 0.51/0.70 (define @t403 () (forall @t402 (or (not (tptp.irel @t7 @t398)) @t401))) % 0.51/0.70 (define @t404 () (or @t128 @t383 @t403)) % 0.51/0.70 (define @t405 () (or @t383 @t403)) % 0.51/0.70 (define @t406 () (or @t388 @t317)) % 0.51/0.70 (define @t407 () (lambda @t69 @t406)) % 0.51/0.70 (define @t408 () (or @t128 (_ @t407 @t7))) % 0.51/0.70 (define @t409 () (forall @t37 @t408)) % 0.51/0.70 (define @t410 () (or @t388 @t409)) % 0.51/0.70 (define @t411 () (lambda @t69 @t410)) % 0.51/0.70 (define @t412 () (lambda @t159 (or @t388 @t158))) % 0.51/0.70 (define @t413 () (or @t388 @t350)) % 0.51/0.70 (define @t414 () (lambda @t69 @t413)) % 0.51/0.70 (define @t415 () (_ tptp.p4 @t7)) % 0.51/0.70 (define @t416 () (or @t128 @t415)) % 0.51/0.70 (define @t417 () (lambda @t69 (_ tptp.p4 @t30))) % 0.51/0.70 (define @t418 () (_ @t417 @t7)) % 0.51/0.70 (define @t419 () (or @t128 @t418)) % 0.51/0.70 (define @t420 () (forall @t37 @t419)) % 0.51/0.70 (define @t421 () (not @t420)) % 0.51/0.70 (define @t422 () (or @t421 @t158)) % 0.51/0.70 (define @t423 () (lambda @t159 @t422)) % 0.51/0.70 (define @t424 () (forall @t369 (or (not (tptp.irel @t77 @t86)) @t368))) % 0.51/0.70 (define @t425 () (not @t424)) % 0.51/0.70 (define @t426 () (not @t85)) % 0.51/0.70 (define @t427 () (or @t426 @t211 @t425 @t361 @t360)) % 0.51/0.70 (define @t428 () (@quantifiers_skolemize @t85 0)) % 0.51/0.70 (define @t429 () (tptp.irel @t77 @t428)) % 0.51/0.70 (define @t430 () (tptp.p4 @t428)) % 0.51/0.70 (define @t431 () (not @t429)) % 0.51/0.70 (define @t432 () (or @t431 @t430)) % 0.51/0.70 (define @t433 () (@list @t432)) % 0.51/0.70 (define @t434 () (@var "BOUND_VARIABLE_8600" $$unsorted)) % 0.51/0.70 (define @t435 () (tptp.p4 @t434)) % 0.51/0.70 (define @t436 () (@var "BOUND_VARIABLE_8598" $$unsorted)) % 0.51/0.70 (define @t437 () (not (tptp.irel @t436 @t434))) % 0.51/0.70 (define @t438 () (tptp.p5 @t81)) % 0.51/0.70 (define @t439 () (@list @t81)) % 0.51/0.70 (define @t440 () (not (forall @t439 (or (not (tptp.irel @t436 @t81)) @t438)))) % 0.51/0.70 (define @t441 () (not (tptp.irel @t45 @t436))) % 0.51/0.70 (define @t442 () (not (forall @t37 (or @t113 @t75)))) % 0.51/0.70 (define @t443 () (or @t441 @t440 @t437 @t435)) % 0.51/0.70 (define @t444 () (or @t442 @t443)) % 0.51/0.70 (define @t445 () (forall (@list @t45 @t436 @t434) @t444)) % 0.51/0.70 (define @t446 () (@list @t436 @t434)) % 0.51/0.70 (define @t447 () (forall @t446 @t444)) % 0.51/0.70 (define @t448 () (forall @t446 @t443)) % 0.51/0.70 (define @t449 () (@var "BOUND_VARIABLE_8575" $$unsorted)) % 0.51/0.70 (define @t450 () (or @t442 @t448)) % 0.51/0.70 (define @t451 () (tptp.p4 @t449)) % 0.51/0.70 (define @t452 () (not (tptp.irel @t7 @t449))) % 0.51/0.70 (define @t453 () (not (forall @t439 (or (not (tptp.irel @t7 @t81)) @t438)))) % 0.51/0.70 (define @t454 () (@list @t7 @t449)) % 0.51/0.70 (define @t455 () (or @t442 (forall @t454 (or @t113 @t453 @t452 @t451)))) % 0.51/0.70 (define @t456 () (or @t128 @t453 @t452 @t451)) % 0.51/0.70 (define @t457 () (forall @t37 (or @t128 @t75))) % 0.51/0.70 (define @t458 () (not @t457)) % 0.51/0.70 (define @t459 () (lambda @t69 (or @t458 (forall @t454 @t456)))) % 0.51/0.70 (define @t460 () (_ @t459 @t45)) % 0.51/0.70 (define @t461 () (forall @t46 @t460)) % 0.51/0.70 (define @t462 () (or @t452 @t451)) % 0.51/0.70 (define @t463 () (or @t128 @t453 @t462)) % 0.51/0.70 (define @t464 () (forall @t454 @t463)) % 0.51/0.70 (define @t465 () (@list @t449)) % 0.51/0.70 (define @t466 () (forall @t465 @t463)) % 0.51/0.70 (define @t467 () (forall @t465 @t462)) % 0.51/0.70 (define @t468 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 0.51/0.70 (define @t469 () (@list @t468)) % 0.51/0.70 (define @t470 () (or @t128 @t453 @t467)) % 0.51/0.70 (define @t471 () (tptp.p4 @t468)) % 0.51/0.70 (define @t472 () (@list @t468)) % 0.51/0.70 (define @t473 () (forall @t472 (or (not (tptp.irel @t7 @t468)) @t471))) % 0.51/0.70 (define @t474 () (or @t128 @t453 @t473)) % 0.51/0.70 (define @t475 () (or @t453 @t473)) % 0.51/0.70 (define @t476 () (or @t458 @t387)) % 0.51/0.70 (define @t477 () (lambda @t69 @t476)) % 0.51/0.70 (define @t478 () (or @t128 (_ @t477 @t7))) % 0.51/0.70 (define @t479 () (forall @t37 @t478)) % 0.51/0.70 (define @t480 () (or @t458 @t479)) % 0.51/0.70 (define @t481 () (lambda @t69 @t480)) % 0.51/0.70 (define @t482 () (lambda @t159 (or @t458 @t158))) % 0.51/0.70 (define @t483 () (or @t458 @t420)) % 0.51/0.70 (define @t484 () (lambda @t69 @t483)) % 0.51/0.70 (define @t485 () (_ tptp.p5 @t7)) % 0.51/0.70 (define @t486 () (or @t128 @t485)) % 0.51/0.70 (define @t487 () (_ @t70 @t7)) % 0.51/0.70 (define @t488 () (or @t128 @t487)) % 0.51/0.70 (define @t489 () (forall @t37 @t488)) % 0.51/0.70 (define @t490 () (not @t489)) % 0.51/0.70 (define @t491 () (or @t490 @t158)) % 0.51/0.70 (define @t492 () (lambda @t159 @t491)) % 0.51/0.70 (define @t493 () (forall @t439 (or (not (tptp.irel @t77 @t81)) @t438))) % 0.51/0.70 (define @t494 () (not @t493)) % 0.51/0.70 (define @t495 () (not @t79)) % 0.51/0.70 (define @t496 () (or @t495 @t211 @t494 @t431 @t430)) % 0.51/0.70 (define @t497 () (@quantifiers_skolemize @t79 0)) % 0.51/0.70 (define @t498 () (tptp.p5 @t497)) % 0.51/0.70 (define @t499 () (or (not (tptp.irel @t77 @t497)) @t498)) % 0.51/0.70 (define @t500 () (forall @t46 @t67)) % 0.51/0.70 (assume @p1 @t5) % 0.51/0.70 (assume @p2 (forall (@list @t1 @t7 @t6) (=> (and @t8 (_ (_ tptp.irel @t7) @t6)) (_ @t2 @t6)))) % 0.51/0.70 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.51/0.70 (assume @p4 (_ tptp.ivalid @t9)) % 0.51/0.70 (assume @p5 (_ tptp.ivalid (_ @t12 (_ @t12 @t10)))) % 0.51/0.70 (assume @p6 (_ tptp.ivalid (_ @t14 (_ @t14 @t11)))) % 0.51/0.70 (assume @p7 (_ tptp.ivalid (_ @t16 (_ @t16 @t13)))) % 0.51/0.70 (assume @p8 (_ tptp.ivalid (_ @t18 (_ @t18 @t15)))) % 0.51/0.70 (assume @p9 (_ tptp.ivalid (_ @t19 (_ @t19 @t17)))) % 0.51/0.70 (assume @p10 @t20) % 0.51/0.70 (assume @p11 true) % 0.51/0.70 (step @p12 (= tptp.mnot @t24) :rule refl :args (@t24)) % 0.51/0.70 (step @p13 (= tptp.mor @t28) :rule refl :args (@t28)) % 0.51/0.70 (step @p14 (= tptp.mand @t29) :rule refl :args (@t29)) % 0.51/0.70 (step @p15 (= tptp.mimplies @t34) :rule refl :args (@t34)) % 0.51/0.70 (step @p16 (= tptp.mbox_s4 @t40) :rule refl :args (@t40)) % 0.51/0.70 (step @p17 (= tptp.iatom @t42) :rule refl :args (@t42)) % 0.51/0.70 (step @p18 (= tptp.inot @t44) :rule refl :args (@t44)) % 0.51/0.70 (step @p19 (= tptp.itrue @t47) :rule refl :args (@t47)) % 0.51/0.70 (step @p20 (= tptp.iand @t50) :rule refl :args (@t50)) % 0.51/0.70 (step @p21 (= tptp.ior @t52) :rule refl :args (@t52)) % 0.51/0.70 (step @p22 (= tptp.iimplies @t53) :rule refl :args (@t53)) % 0.51/0.70 (step @p23 (= tptp.iimplied @t55) :rule refl :args (@t55)) % 0.51/0.70 (step @p24 (= tptp.iequiv @t56) :rule refl :args (@t56)) % 0.51/0.70 (step @p25 (= tptp.ixor @t57) :rule refl :args (@t57)) % 0.51/0.70 (step @p26 (= tptp.ivalid @t62) :rule refl :args (@t62)) % 0.51/0.70 (step @p27 (= tptp.isatisfiable @t63) :rule refl :args (@t63)) % 0.51/0.70 (step @p28 (= tptp.icountersatisfiable @t65) :rule refl :args (@t65)) % 0.51/0.70 (step @p29 (= tptp.iinvalid @t66) :rule refl :args (@t66)) % 0.51/0.70 (step @p30 :rule refl :args (@t67)) % 0.51/0.70 (step @p31 :rule refl :args (@t68)) % 0.51/0.70 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t68 @t67))) % 0.51/0.70 (step @p33 :rule symm :premises (@p32)) % 0.51/0.70 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.51/0.70 (step @p35 :rule cong :premises (@p34) :args ((forall @t46 @t68))) % 0.51/0.70 (step @p36 :rule beta-reduce :args ((= @t71 @t68))) % 0.51/0.70 (step @p37 :rule cong :premises (@p36) :args (@t72)) % 0.51/0.70 (step @p38 :rule trans :premises (@p37 @p35)) % 0.51/0.70 (step @p39 :rule beta-reduce :args ((= (_ @t74 @t70) @t72))) % 0.51/0.70 (step @p40 :rule trans :premises (@p39 @p38)) % 0.51/0.70 (step @p41 :rule beta-reduce :args ((= (_ @t42 tptp.p5) @t70))) % 0.51/0.70 (step @p42 :rule refl :args (@t74)) % 0.51/0.70 (step @p43 :rule ho_cong :premises (@p42 @p41)) % 0.51/0.70 (step @p44 :rule trans :premises (@p43 @p40)) % 0.51/0.70 (step @p45 :rule refl :args (tptp.p5)) % 0.51/0.70 (step @p46 :rule ho_cong :premises (@p17 @p45)) % 0.51/0.70 (step @p47 :rule refl :args (@t73)) % 0.51/0.70 (step @p48 :rule refl :args (@t59)) % 0.51/0.70 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t59 @t73))) % 0.51/0.70 (step @p50 :rule symm :premises (@p49)) % 0.51/0.70 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.51/0.70 (step @p52 :rule cong :premises (@p51) :args (@t60)) % 0.51/0.70 (step @p53 :rule cong :premises (@p52) :args (@t62)) % 0.51/0.70 (step @p54 :rule trans :premises (@p26 @p53)) % 0.51/0.70 (step @p55 :rule ho_cong :premises (@p54 @p46)) % 0.51/0.70 (step @p56 :rule trans :premises (@p55 @p44)) % 0.51/0.70 (step @p57 :rule eq_resolve :premises (@p4 @p56)) % 0.51/0.70 (step @p58 :rule alpha_equiv :args (@t79 @t80 @t82)) % 0.51/0.70 (step @p59 :rule equiv_elim1 :premises (@p58)) % 0.51/0.70 (step @p60 :rule refl :args (@t83)) % 0.51/0.70 (step @p61 :rule refl :args (@t3)) % 0.51/0.70 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t3 @t83))) % 0.51/0.70 (step @p63 :rule symm :premises (@p62)) % 0.51/0.70 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.51/0.70 (step @p65 :rule cong :premises (@p64) :args (@t5)) % 0.51/0.70 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.51/0.70 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t77))) % 0.51/0.70 (step @p68 :rule alpha_equiv :args (@t85 @t80 @t87)) % 0.51/0.70 (step @p69 :rule equiv_elim1 :premises (@p68)) % 0.51/0.70 (step @p70 :rule alpha_equiv :args (@t89 @t80 @t91)) % 0.51/0.70 (step @p71 :rule equiv_elim1 :premises (@p70)) % 0.51/0.70 (step @p72 :rule alpha_equiv :args (@t93 @t80 @t95)) % 0.51/0.70 (step @p73 :rule equiv_elim1 :premises (@p72)) % 0.51/0.70 (step @p74 :rule alpha_equiv :args (@t97 @t80 @t99)) % 0.51/0.70 (step @p75 :rule equiv_elim1 :premises (@p74)) % 0.51/0.70 (step @p76 :rule refl :args (@t76)) % 0.51/0.70 (step @p77 :rule refl :args (@t100)) % 0.51/0.70 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t100 @t76))) % 0.51/0.70 (step @p79 :rule symm :premises (@p78)) % 0.51/0.70 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.51/0.70 (step @p81 :rule cong :premises (@p80) :args ((forall @t46 @t100))) % 0.51/0.70 (step @p82 :rule beta-reduce :args ((= @t102 @t100))) % 0.51/0.70 (step @p83 :rule cong :premises (@p82) :args (@t103)) % 0.51/0.70 (step @p84 :rule trans :premises (@p83 @p81)) % 0.51/0.70 (step @p85 :rule beta-reduce :args ((= (_ @t74 @t101) @t103))) % 0.51/0.70 (step @p86 :rule trans :premises (@p85 @p84)) % 0.51/0.70 (step @p87 :rule beta-reduce :args ((= @t104 @t101))) % 0.51/0.70 (step @p88 :rule ho_cong :premises (@p42 @p87)) % 0.51/0.70 (step @p89 :rule trans :premises (@p88 @p86)) % 0.51/0.70 (step @p90 :rule cong :premises (@p89) :args ((not (_ @t74 @t104)))) % 0.51/0.70 (step @p91 :rule refl :args (tptp.p0)) % 0.51/0.70 (step @p92 :rule ho_cong :premises (@p17 @p91)) % 0.51/0.70 (step @p93 :rule ho_cong :premises (@p54 @p92)) % 0.51/0.70 (step @p94 :rule cong :premises (@p93) :args (@t20)) % 0.51/0.70 (step @p95 :rule trans :premises (@p94 @p90)) % 0.51/0.70 (step @p96 :rule eq_resolve :premises (@p10 @p95)) % 0.51/0.70 (step @p97 :rule skolemize :premises (@p96)) % 0.51/0.70 (step @p98 :rule aci_norm :args ((= @t116 (or @t114 @t112 @t111 @t108 @t106)))) % 0.51/0.70 (step @p99 :rule cong :premises (@p98) :args (@t117)) % 0.51/0.70 (step @p100 :rule quant-merge-prenex :args ((= (forall @t46 @t119) @t117))) % 0.51/0.70 (step @p101 :rule alpha_equiv :args (@t120 (@list @t107 @t105) (@list @t7 @t121))) % 0.51/0.70 (step @p102 :rule refl :args (@t114)) % 0.51/0.70 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t122)) % 0.51/0.70 (step @p104 :rule quant-miniscope-or :args ((= @t119 @t122))) % 0.51/0.70 (step @p105 :rule trans :premises (@p104 @p103)) % 0.51/0.70 (step @p106 :rule symm :premises (@p105)) % 0.51/0.70 (step @p107 :rule cong :premises (@p106) :args ((forall @t46 @t127))) % 0.51/0.70 (step @p108 :rule trans :premises (@p107 @p100)) % 0.51/0.70 (step @p109 :rule trans :premises (@p108 @p99)) % 0.51/0.70 (step @p110 :rule beta-reduce :args ((= @t133 @t127))) % 0.51/0.70 (step @p111 :rule cong :premises (@p110) :args (@t134)) % 0.51/0.70 (step @p112 :rule trans :premises (@p111 @p109)) % 0.51/0.70 (step @p113 :rule beta-reduce :args ((= (_ @t74 @t132) @t134))) % 0.51/0.70 (step @p114 :rule trans :premises (@p113 @p112)) % 0.51/0.70 (step @p115 :rule aci_norm :args ((= @t136 @t129))) % 0.51/0.70 (step @p116 :rule cong :premises (@p115) :args (@t137)) % 0.51/0.70 (step @p117 :rule quant-merge-prenex :args ((= (forall @t37 @t139) @t137))) % 0.51/0.70 (step @p118 :rule alpha_equiv :args (@t140 (@list @t121) @t142)) % 0.51/0.70 (step @p119 :rule refl :args (@t125)) % 0.51/0.70 (step @p120 :rule refl :args (@t128)) % 0.51/0.70 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t143)) % 0.51/0.70 (step @p122 :rule quant-miniscope-or :args ((= @t139 @t143))) % 0.51/0.70 (step @p123 :rule trans :premises (@p122 @p121)) % 0.51/0.70 (step @p124 :rule symm :premises (@p123)) % 0.51/0.70 (step @p125 :rule cong :premises (@p124) :args ((forall @t37 @t147))) % 0.51/0.70 (step @p126 :rule trans :premises (@p125 @p117)) % 0.51/0.70 (step @p127 :rule trans :premises (@p126 @p116)) % 0.51/0.70 (step @p128 :rule aci_norm :args ((= (or @t128 @t148) @t147))) % 0.51/0.70 (step @p129 :rule beta-reduce :args ((= (_ (lambda @t69 (or (not (forall @t110 (or (not (tptp.irel @t30 @t98)) @t109))) (forall @t145 (or (not (tptp.irel @t30 @t141)) @t144)))) @t7) @t148))) % 0.51/0.70 (step @p130 :rule refl :args (@t7)) % 0.51/0.70 (step @p131 :rule alpha_equiv :args (@t150 @t80 @t142)) % 0.51/0.70 (step @p132 :rule alpha_equiv :args (@t130 @t80 @t99)) % 0.51/0.70 (step @p133 :rule cong :premises (@p132) :args (@t131)) % 0.51/0.70 (step @p134 :rule nary_cong :premises (@p133 @p131) :args (@t151)) % 0.51/0.70 (step @p135 :rule cong :premises (@p134) :args (@t152)) % 0.51/0.70 (step @p136 :rule ho_cong :premises (@p135 @p130)) % 0.51/0.70 (step @p137 :rule trans :premises (@p136 @p129)) % 0.51/0.70 (step @p138 :rule refl :args (@t128)) % 0.51/0.70 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t153)) % 0.51/0.70 (step @p140 :rule trans :premises (@p139 @p128)) % 0.51/0.70 (step @p141 :rule cong :premises (@p140) :args (@t154)) % 0.51/0.70 (step @p142 :rule trans :premises (@p141 @p127)) % 0.51/0.70 (step @p143 :rule refl :args (@t131)) % 0.51/0.70 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t155)) % 0.51/0.70 (step @p145 :rule cong :premises (@p144) :args (@t156)) % 0.51/0.70 (step @p146 :rule beta-reduce :args ((= (_ @t160 @t152) @t156))) % 0.51/0.70 (step @p147 :rule trans :premises (@p146 @p145)) % 0.51/0.70 (step @p148 :rule refl :args (@t149)) % 0.51/0.70 (step @p149 :rule refl :args (@t161)) % 0.51/0.70 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t161 @t149))) % 0.51/0.70 (step @p151 :rule symm :premises (@p150)) % 0.51/0.70 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 0.51/0.70 (step @p153 :rule nary_cong :premises (@p120 @p152) :args (@t162)) % 0.51/0.70 (step @p154 :rule cong :premises (@p153) :args ((forall @t37 @t162))) % 0.51/0.70 (step @p155 :rule beta-reduce :args ((= @t163 @t161))) % 0.51/0.70 (step @p156 :rule nary_cong :premises (@p138 @p155) :args (@t164)) % 0.51/0.70 (step @p157 :rule cong :premises (@p156) :args (@t165)) % 0.51/0.70 (step @p158 :rule trans :premises (@p157 @p154)) % 0.51/0.70 (step @p159 :rule nary_cong :premises (@p143 @p158) :args (@t166)) % 0.51/0.70 (step @p160 :rule cong :premises (@p159) :args (@t167)) % 0.51/0.70 (step @p161 :rule beta-reduce :args ((= (_ @t160 @t101) @t167))) % 0.51/0.70 (step @p162 :rule trans :premises (@p161 @p160)) % 0.51/0.70 (step @p163 :rule refl :args (@t158)) % 0.51/0.70 (step @p164 :rule refl :args (@t96)) % 0.51/0.70 (step @p165 :rule refl :args (@t168)) % 0.51/0.70 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t168 @t96))) % 0.51/0.70 (step @p167 :rule symm :premises (@p166)) % 0.51/0.70 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 0.51/0.70 (step @p169 :rule nary_cong :premises (@p120 @p168) :args (@t169)) % 0.51/0.70 (step @p170 :rule cong :premises (@p169) :args ((forall @t37 @t169))) % 0.51/0.70 (step @p171 :rule beta-reduce :args ((= @t171 @t168))) % 0.51/0.70 (step @p172 :rule nary_cong :premises (@p138 @p171) :args (@t172)) % 0.51/0.70 (step @p173 :rule cong :premises (@p172) :args 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@p600)) % 0.51/0.70 (step @p659 :rule ho_cong :premises (@p268 @p46)) % 0.51/0.70 (step @p660 :rule ho_cong :premises (@p659 @p563)) % 0.51/0.70 (step @p661 :rule ho_cong :premises (@p659 @p660)) % 0.51/0.70 (step @p662 :rule ho_cong :premises (@p54 @p661)) % 0.51/0.70 (step @p663 :rule trans :premises (@p662 @p658)) % 0.51/0.70 (step @p664 :rule eq_resolve :premises (@p9 @p663)) % 0.51/0.70 (step @p665 :rule instantiate :premises (@p664) :args ((@list @t77 @t77 @t428))) % 0.51/0.70 (step @p666 :rule cnf_or_pos :args (@t496)) % 0.51/0.70 (step @p667 :rule reordering :premises (@p666) :args ((or @t211 @t495 @t494 @t431 @t430 (not @t496)))) % 0.51/0.70 (step @p668 :rule chain_m_resolution :premises (@p667 @p665 @p583 @p581 @p67 @p59) :args (@t495 @t287 (@list @t496 @t430 @t429 @t210 @t493))) % 0.51/0.70 (step @p669 :rule skolemize :premises (@p668)) % 0.51/0.70 (step @p670 :rule cnf_or_neg :args (@t499 1)) % 0.51/0.70 (step @p671 :rule chain_m_resolution :premises (@p670 @p669) :args ((not @t498) @t221 (@list @t499))) % 0.51/0.70 (assume-push @p678 @t500) % 0.51/0.70 (step @p673 :rule instantiate :premises (@p57) :args ((@list @t497))) % 0.51/0.70 (step-pop @p679 :rule scope :premises (@p673)) % 0.51/0.70 (step @p674 :rule process_scope :premises (@p679) :args (@t498)) % 0.51/0.70 (step @p676 :rule implies_elim :premises (@p674)) % 0.51/0.70 (step @p677 false :rule chain_m_resolution :premises (@p676 @p671 @p57) :args (false (@list true false) (@list @t498 @t500))) % 0.51/0.70 ) % 0.51/0.70 % SZS output end Proof % 0.51/0.70 % cvc5 exiting %------------------------------------------------------------------------------