%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL621^1 : TPTP v9.3.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:10 AM UTC 2026 % Result : Theorem 0.29s 0.56s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL621^1 : TPTP v9.3.1. Released v3.6.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n013.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Fri Sep 4 19:58:50 UTC 2026 % 0.10/0.37 % CPUTime : % 0.14/0.44 %----Proving TH0 % 0.29/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.56 % SZS status Theorem % 0.29/0.56 % SZS output start Proof % 0.29/0.56 ( % 0.29/0.56 (declare-sort $$unsorted 0) % 0.29/0.56 (declare-sort tptp.individuals 0) % 0.29/0.56 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.29/0.56 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.29/0.56 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.29/0.56 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.29/0.56 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.29/0.56 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.29/0.56 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.29/0.56 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.29/0.56 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.29/0.56 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.29/0.56 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.29/0.56 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.29/0.56 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.29/0.56 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.29/0.56 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.29/0.56 (define @t1 () (@var "X" (-> $$unsorted Bool))) % 0.29/0.56 (define @t2 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.29/0.56 (define @t3 () (_ tptp.mbox @t2)) % 0.29/0.56 (define @t4 () (_ @t3 @t1)) % 0.29/0.56 (define @t5 () (@list @t2 @t1)) % 0.29/0.56 (define @t6 () (forall @t5 (_ tptp.mvalid (_ (_ tptp.mimpl @t4) (_ @t3 @t4))))) % 0.29/0.56 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.29/0.56 (define @t8 () (_ tptp.mdia @t2)) % 0.29/0.56 (define @t9 () (@list @t2 @t1 @t7)) % 0.29/0.56 (define @t10 () (forall @t9 (_ tptp.mvalid (_ (_ tptp.mimpl (_ (_ tptp.mand (_ @t3 (_ @t8 @t1))) (_ @t3 @t7))) (_ @t3 (_ @t8 (_ (_ tptp.mand @t1) @t7))))))) % 0.29/0.56 (define @t11 () (not @t10)) % 0.29/0.56 (define @t12 () (@var "X" $$unsorted)) % 0.29/0.56 (define @t13 () (@list @t12)) % 0.29/0.56 (define @t14 () (lambda @t13 false)) % 0.29/0.56 (define @t15 () (lambda @t13 true)) % 0.29/0.56 (define @t16 () (@var "U" $$unsorted)) % 0.29/0.56 (define @t17 () (_ @t1 @t16)) % 0.29/0.56 (define @t18 () (lambda (@list @t1 @t16) (not @t17))) % 0.29/0.56 (define @t19 () (_ @t7 @t16)) % 0.29/0.56 (define @t20 () (@list @t1 @t7 @t16)) % 0.29/0.56 (define @t21 () (lambda @t20 (or @t17 @t19))) % 0.29/0.56 (define @t22 () (and @t17 @t19)) % 0.29/0.56 (define @t23 () (lambda @t20 @t22)) % 0.29/0.56 (define @t24 () (@var "__flatten_var_0" $$unsorted)) % 0.29/0.56 (define @t25 () (@var "V" (-> $$unsorted Bool))) % 0.29/0.56 (define @t26 () (@var "U" (-> $$unsorted Bool))) % 0.29/0.56 (define @t27 () (@list @t26 @t25 @t24)) % 0.29/0.56 (define @t28 () (lambda @t27 (_ (_ (_ tptp.mor (_ tptp.mnot @t26)) @t25) @t24))) % 0.29/0.56 (define @t29 () (lambda @t27 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t26) @t25)) (_ (_ tptp.mimpl @t25) @t26)) @t24))) % 0.29/0.56 (define @t30 () (@var "Y" $$unsorted)) % 0.29/0.56 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.29/0.56 (define @t32 () (_ @t31 @t30)) % 0.29/0.56 (define @t33 () (_ (_ @t2 @t12) @t30)) % 0.29/0.56 (define @t34 () (@list @t30)) % 0.29/0.56 (define @t35 () (forall @t34 (=> @t33 @t32))) % 0.29/0.56 (define @t36 () (@list @t2 @t31 @t12)) % 0.29/0.56 (define @t37 () (lambda @t36 @t35)) % 0.29/0.56 (define @t38 () (and @t33 @t32)) % 0.29/0.56 (define @t39 () (exists @t34 @t38)) % 0.29/0.56 (define @t40 () (lambda @t36 @t39)) % 0.29/0.56 (define @t41 () (@var "W" $$unsorted)) % 0.29/0.56 (define @t42 () (@var "X" tptp.individuals)) % 0.29/0.56 (define @t43 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.29/0.56 (define @t44 () (_ (_ @t43 @t42) @t41)) % 0.29/0.56 (define @t45 () (@list @t42)) % 0.29/0.56 (define @t46 () (@list @t43 @t41)) % 0.29/0.56 (define @t47 () (lambda @t46 (forall @t45 @t44))) % 0.29/0.56 (define @t48 () (lambda @t46 (exists @t45 @t44))) % 0.29/0.56 (define @t49 () (_ @t31 @t41)) % 0.29/0.56 (define @t50 () (@list @t41)) % 0.29/0.56 (define @t51 () (forall @t50 @t49)) % 0.29/0.56 (define @t52 () (@list @t31)) % 0.29/0.56 (define @t53 () (lambda @t52 @t51)) % 0.29/0.56 (define @t54 () (lambda @t52 (exists @t50 @t49))) % 0.29/0.56 (define @t55 () (not @t49)) % 0.29/0.56 (define @t56 () (lambda @t52 (exists @t50 @t55))) % 0.29/0.56 (define @t57 () (lambda @t52 (forall @t50 @t55))) % 0.29/0.56 (define @t58 () (@var "BOUND_VARIABLE_7856" $$unsorted)) % 0.29/0.56 (define @t59 () (_ @t1 @t58)) % 0.29/0.56 (define @t60 () (@var "BOUND_VARIABLE_7854" $$unsorted)) % 0.29/0.56 (define @t61 () (not (_ @t2 @t60 @t58))) % 0.29/0.56 (define @t62 () (not (_ @t2 @t41 @t60))) % 0.29/0.56 (define @t63 () (_ @t1 @t30)) % 0.29/0.56 (define @t64 () (not (_ @t2 @t41 @t30))) % 0.29/0.56 (define @t65 () (not (forall @t34 (or @t64 @t63)))) % 0.29/0.56 (define @t66 () (or @t65 @t62 @t61 @t59)) % 0.29/0.56 (define @t67 () (forall (@list @t2 @t1 @t41 @t60 @t58) @t66)) % 0.29/0.56 (define @t68 () (@list @t41 @t60 @t58)) % 0.29/0.56 (define @t69 () (or @t62 @t61 @t59)) % 0.29/0.56 (define @t70 () (or @t65 @t69)) % 0.29/0.56 (define @t71 () (forall @t68 @t70)) % 0.29/0.56 (define @t72 () (@list @t60 @t58)) % 0.29/0.56 (define @t73 () (forall @t72 @t70)) % 0.29/0.56 (define @t74 () (forall @t72 @t69)) % 0.29/0.56 (define @t75 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 0.29/0.56 (define @t76 () (or @t65 @t74)) % 0.29/0.56 (define @t77 () (_ @t1 @t75)) % 0.29/0.56 (define @t78 () (not (_ @t2 @t30 @t75))) % 0.29/0.56 (define @t79 () (@list @t30 @t75)) % 0.29/0.56 (define @t80 () (or @t65 (forall @t79 (or @t64 @t78 @t77)))) % 0.29/0.56 (define @t81 () (not (_ @t2 @t24 @t30))) % 0.29/0.56 (define @t82 () (forall @t79 (or @t81 @t78 @t77))) % 0.29/0.56 (define @t83 () (forall @t34 (or @t81 @t63))) % 0.29/0.56 (define @t84 () (not @t83)) % 0.29/0.56 (define @t85 () (@list @t24)) % 0.29/0.56 (define @t86 () (lambda @t85 (or @t84 @t82))) % 0.29/0.56 (define @t87 () (_ @t86 @t41)) % 0.29/0.56 (define @t88 () (forall @t50 @t87)) % 0.29/0.56 (define @t89 () (_ @t31 @t41)) % 0.29/0.56 (define @t90 () (lambda @t52 (forall @t50 @t89))) % 0.29/0.56 (define @t91 () (_ @t2 @t12 @t30)) % 0.29/0.56 (define @t92 () (not @t91)) % 0.29/0.56 (define @t93 () (or @t92 @t78 @t77)) % 0.29/0.56 (define @t94 () (lambda @t13 (forall @t79 @t93))) % 0.29/0.56 (define @t95 () (_ @t94 @t24)) % 0.29/0.56 (define @t96 () (or @t84 @t95)) % 0.29/0.56 (define @t97 () (lambda @t85 @t96)) % 0.29/0.56 (define @t98 () (_ @t25 @t24)) % 0.29/0.56 (define @t99 () (@list @t25 @t24)) % 0.29/0.56 (define @t100 () (or @t78 @t77)) % 0.29/0.56 (define @t101 () (or @t92 @t100)) % 0.29/0.56 (define @t102 () (forall @t79 @t101)) % 0.29/0.56 (define @t103 () (@list @t75)) % 0.29/0.56 (define @t104 () (forall @t103 @t101)) % 0.29/0.56 (define @t105 () (forall @t103 @t100)) % 0.29/0.56 (define @t106 () (@var "BOUND_VARIABLE_7805" $$unsorted)) % 0.29/0.56 (define @t107 () (@list @t106)) % 0.29/0.56 (define @t108 () (or @t92 @t105)) % 0.29/0.56 (define @t109 () (_ @t1 @t106)) % 0.29/0.56 (define @t110 () (@list @t106)) % 0.29/0.56 (define @t111 () (forall @t110 (or (not (_ @t2 @t30 @t106)) @t109))) % 0.29/0.56 (define @t112 () (forall @t34 (or @t92 @t63))) % 0.29/0.56 (define @t113 () (@list @t30)) % 0.29/0.56 (define @t114 () (lambda @t13 @t112)) % 0.29/0.56 (define @t115 () (or @t92 (_ @t114 @t30))) % 0.29/0.56 (define @t116 () (forall @t34 @t115)) % 0.29/0.56 (define @t117 () (lambda @t13 @t116)) % 0.29/0.56 (define @t118 () (_ @t31 @t30)) % 0.29/0.56 (define @t119 () (forall @t34 (or @t92 @t118))) % 0.29/0.56 (define @t120 () (@list @t31 @t12)) % 0.29/0.56 (define @t121 () (lambda @t120 @t119)) % 0.29/0.56 (define @t122 () (_ (lambda @t36 @t119) @t2)) % 0.29/0.56 (define @t123 () (_ @t114 @t24)) % 0.29/0.56 (define @t124 () (not @t123)) % 0.29/0.56 (define @t125 () (or @t124 @t98)) % 0.29/0.56 (define @t126 () (lambda @t99 @t125)) % 0.29/0.56 (define @t127 () (or (not (_ @t26 @t24)) @t98)) % 0.29/0.56 (define @t128 () (lambda @t27 @t127)) % 0.29/0.56 (define @t129 () (_ @t122 @t1)) % 0.29/0.56 (define @t130 () (not @t33)) % 0.29/0.56 (define @t131 () (or @t130 @t32)) % 0.29/0.56 (define @t132 () (not (_ @t26 @t16))) % 0.29/0.56 (define @t133 () (@list @t16)) % 0.29/0.56 (define @t134 () (lambda @t133 (or @t132 (_ @t25 @t16)))) % 0.29/0.56 (define @t135 () (@list @t7 @t16)) % 0.29/0.56 (define @t136 () (lambda @t133 @t132)) % 0.29/0.56 (define @t137 () (_ @t136 @t16)) % 0.29/0.56 (define @t138 () (or @t137 @t19)) % 0.29/0.56 (define @t139 () (lambda @t135 @t138)) % 0.29/0.56 (define @t140 () (@var "BOUND_VARIABLE_7988" $$unsorted)) % 0.29/0.56 (define @t141 () (not (_ @t7 @t140))) % 0.29/0.56 (define @t142 () (not (_ @t1 @t140))) % 0.29/0.56 (define @t143 () (@var "BOUND_VARIABLE_8037" $$unsorted)) % 0.29/0.56 (define @t144 () (@list @t140)) % 0.29/0.56 (define @t145 () (not (forall @t144 (or (not (_ @t2 @t143 @t140)) @t142 @t141)))) % 0.29/0.56 (define @t146 () (not (_ @t2 @t41 @t143))) % 0.29/0.56 (define @t147 () (_ @t7 @t30)) % 0.29/0.56 (define @t148 () (forall @t34 (or @t64 @t147))) % 0.29/0.56 (define @t149 () (not @t148)) % 0.29/0.56 (define @t150 () (@var "BOUND_VARIABLE_7901" $$unsorted)) % 0.29/0.56 (define @t151 () (not (_ @t1 @t150))) % 0.29/0.56 (define @t152 () (@list @t150)) % 0.29/0.56 (define @t153 () (not (forall @t152 (or (not (_ @t2 @t30 @t150)) @t151)))) % 0.29/0.56 (define @t154 () (forall @t34 (or @t64 @t153))) % 0.29/0.56 (define @t155 () (not @t154)) % 0.29/0.56 (define @t156 () (or @t155 @t149 @t146 @t145)) % 0.29/0.56 (define @t157 () (forall (@list @t2 @t1 @t7 @t41 @t143) @t156)) % 0.29/0.56 (define @t158 () (@list @t41 @t143)) % 0.29/0.56 (define @t159 () (or @t146 @t145)) % 0.29/0.56 (define @t160 () (or @t155 @t149 @t159)) % 0.29/0.56 (define @t161 () (forall @t158 @t160)) % 0.29/0.56 (define @t162 () (@list @t143)) % 0.29/0.56 (define @t163 () (forall @t162 @t160)) % 0.29/0.56 (define @t164 () (forall @t162 @t159)) % 0.29/0.56 (define @t165 () (or @t155 @t149 @t164)) % 0.29/0.56 (define @t166 () (not (forall @t144 (or (not (_ @t2 @t30 @t140)) @t142 @t141)))) % 0.29/0.56 (define @t167 () (forall @t34 (or @t64 @t166))) % 0.29/0.56 (define @t168 () (or @t155 @t149 @t167)) % 0.29/0.56 (define @t169 () (or (not (and @t154 @t148)) @t167)) % 0.29/0.56 (define @t170 () (forall @t34 (or @t81 @t166))) % 0.29/0.56 (define @t171 () (and (forall @t34 (or @t81 @t153)) (forall @t34 (or @t81 @t147)))) % 0.29/0.56 (define @t172 () (not @t171)) % 0.29/0.56 (define @t173 () (lambda @t85 (or @t172 @t170))) % 0.29/0.56 (define @t174 () (_ @t173 @t41)) % 0.29/0.56 (define @t175 () (forall @t50 @t174)) % 0.29/0.56 (define @t176 () (lambda @t13 (forall @t34 (or @t92 @t166)))) % 0.29/0.56 (define @t177 () (_ @t176 @t24)) % 0.29/0.56 (define @t178 () (or @t172 @t177)) % 0.29/0.56 (define @t179 () (lambda @t85 @t178)) % 0.29/0.56 (define @t180 () (not @t63)) % 0.29/0.56 (define @t181 () (forall @t34 (or @t92 @t180 (not @t147)))) % 0.29/0.56 (define @t182 () (not @t181)) % 0.29/0.56 (define @t183 () (lambda @t13 @t182)) % 0.29/0.56 (define @t184 () (or @t92 (_ @t183 @t30))) % 0.29/0.56 (define @t185 () (forall @t34 @t184)) % 0.29/0.56 (define @t186 () (lambda @t13 @t185)) % 0.29/0.56 (define @t187 () (_ @t7 @t30)) % 0.29/0.56 (define @t188 () (not @t187)) % 0.29/0.56 (define @t189 () (_ @t1 @t30)) % 0.29/0.56 (define @t190 () (not @t189)) % 0.29/0.56 (define @t191 () (or @t92 @t190 @t188)) % 0.29/0.56 (define @t192 () (and @t189 @t187)) % 0.29/0.56 (define @t193 () (or @t92 (not @t192))) % 0.29/0.56 (define @t194 () (lambda @t133 @t22)) % 0.29/0.56 (define @t195 () (_ @t194 @t30)) % 0.29/0.56 (define @t196 () (not @t195)) % 0.29/0.56 (define @t197 () (or @t92 @t196)) % 0.29/0.56 (define @t198 () (forall @t34 @t197)) % 0.29/0.56 (define @t199 () (not @t198)) % 0.29/0.56 (define @t200 () (lambda @t13 @t199)) % 0.29/0.56 (define @t201 () (not (forall @t34 (or @t92 (not @t118))))) % 0.29/0.56 (define @t202 () (lambda @t120 @t201)) % 0.29/0.56 (define @t203 () (lambda @t135 @t22)) % 0.29/0.56 (define @t204 () (_ @t23 @t1)) % 0.29/0.56 (define @t205 () (_ (lambda @t36 @t201) @t2)) % 0.29/0.56 (define @t206 () (not (_ @t2 @t16 @t30))) % 0.29/0.56 (define @t207 () (forall @t34 (or @t206 @t147))) % 0.29/0.56 (define @t208 () (forall @t34 (or @t206 @t153))) % 0.29/0.56 (define @t209 () (lambda @t133 (and @t208 @t207))) % 0.29/0.56 (define @t210 () (_ @t209 @t24)) % 0.29/0.56 (define @t211 () (not @t210)) % 0.29/0.56 (define @t212 () (or @t211 @t98)) % 0.29/0.56 (define @t213 () (lambda @t99 @t212)) % 0.29/0.56 (define @t214 () (lambda @t13 (forall @t34 (or @t92 @t147)))) % 0.29/0.56 (define @t215 () (_ @t214 @t16)) % 0.29/0.56 (define @t216 () (and @t208 @t215)) % 0.29/0.56 (define @t217 () (lambda @t133 @t216)) % 0.29/0.56 (define @t218 () (lambda @t13 (forall @t34 (or @t92 @t153)))) % 0.29/0.56 (define @t219 () (_ @t218 @t16)) % 0.29/0.56 (define @t220 () (and @t219 @t19)) % 0.29/0.56 (define @t221 () (lambda @t135 @t220)) % 0.29/0.56 (define @t222 () (forall @t34 (or @t92 @t180))) % 0.29/0.56 (define @t223 () (not @t222)) % 0.29/0.56 (define @t224 () (lambda @t13 @t223)) % 0.29/0.56 (define @t225 () (or @t92 (_ @t224 @t30))) % 0.29/0.56 (define @t226 () (forall @t34 @t225)) % 0.29/0.56 (define @t227 () (lambda @t13 @t226)) % 0.29/0.56 (define @t228 () (forall @t9 (_ @t90 (_ (_ @t128 (_ (_ @t23 (_ @t122 (_ @t205 @t1))) (_ @t122 @t7))) (_ @t122 (_ @t205 (_ @t204 @t7))))))) % 0.29/0.56 (define @t229 () (not @t32)) % 0.29/0.56 (define @t230 () (or @t130 @t229)) % 0.29/0.56 (define @t231 () (forall @t34 (not @t38))) % 0.29/0.56 (define @t232 () (not @t231)) % 0.29/0.56 (define @t233 () (@quantifiers_skolemize @t157 2)) % 0.29/0.56 (define @t234 () (@quantifiers_skolemize @t157 1)) % 0.29/0.56 (define @t235 () (@quantifiers_skolemize @t157 4)) % 0.29/0.56 (define @t236 () (@quantifiers_skolemize @t157 0)) % 0.29/0.56 (define @t237 () (forall @t144 (or (not (_ @t236 @t235 @t140)) (not (_ @t234 @t140)) (not (_ @t233 @t140))))) % 0.29/0.56 (define @t238 () (not @t237)) % 0.29/0.56 (define @t239 () (@quantifiers_skolemize @t157 3)) % 0.29/0.56 (define @t240 () (_ @t236 @t239 @t235)) % 0.29/0.56 (define @t241 () (not @t240)) % 0.29/0.56 (define @t242 () (not (_ @t236 @t239 @t30))) % 0.29/0.56 (define @t243 () (forall @t34 (or @t242 (_ @t233 @t30)))) % 0.29/0.56 (define @t244 () (not @t243)) % 0.29/0.56 (define @t245 () (not (_ @t234 @t150))) % 0.29/0.56 (define @t246 () (forall @t34 (or @t242 (not (forall @t152 (or (not (_ @t236 @t30 @t150)) @t245)))))) % 0.29/0.56 (define @t247 () (not @t246)) % 0.29/0.56 (define @t248 () (or @t247 @t244 @t241 @t238)) % 0.29/0.56 (define @t249 () (@list true)) % 0.29/0.56 (define @t250 () (@list @t248)) % 0.29/0.56 (define @t251 () (forall @t152 (or (not (_ @t236 @t235 @t150)) @t245))) % 0.29/0.56 (define @t252 () (@quantifiers_skolemize @t251 0)) % 0.29/0.56 (define @t253 () (not @t251)) % 0.29/0.56 (define @t254 () (or @t241 @t253)) % 0.29/0.56 (define @t255 () (_ @t234 @t252)) % 0.29/0.56 (define @t256 () (not @t255)) % 0.29/0.56 (define @t257 () (_ @t236 @t235 @t252)) % 0.29/0.56 (define @t258 () (not @t257)) % 0.29/0.56 (define @t259 () (or @t258 @t256)) % 0.29/0.56 (define @t260 () (@list @t259)) % 0.29/0.56 (define @t261 () (_ @t233 @t252)) % 0.29/0.56 (define @t262 () (not @t261)) % 0.29/0.56 (define @t263 () (or @t258 @t256 @t262)) % 0.29/0.56 (define @t264 () (or @t244 @t241 @t258 @t261)) % 0.29/0.56 (define @t265 () (not @t264)) % 0.29/0.56 (assume @p1 @t6) % 0.29/0.56 (assume @p2 @t11) % 0.29/0.56 (assume @p3 true) % 0.29/0.56 (step @p4 (= tptp.mfalse @t14) :rule refl :args (@t14)) % 0.29/0.56 (step @p5 (= tptp.mtrue @t15) :rule refl :args (@t15)) % 0.29/0.56 (step @p6 (= tptp.mnot @t18) :rule refl :args (@t18)) % 0.29/0.56 (step @p7 (= tptp.mor @t21) :rule refl :args (@t21)) % 0.29/0.56 (step @p8 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.29/0.56 (step @p9 (= tptp.mimpl @t28) :rule refl :args (@t28)) % 0.29/0.56 (step @p10 (= tptp.miff @t29) :rule refl :args (@t29)) % 0.29/0.56 (step @p11 (= tptp.mbox @t37) :rule refl :args (@t37)) % 0.29/0.56 (step @p12 (= tptp.mdia @t40) :rule refl :args (@t40)) % 0.29/0.56 (step @p13 (= tptp.mall @t47) :rule refl :args (@t47)) % 0.29/0.56 (step @p14 (= tptp.mexists @t48) :rule refl :args (@t48)) % 0.29/0.56 (step @p15 (= tptp.mvalid @t53) :rule refl :args (@t53)) % 0.29/0.56 (step @p16 (= tptp.msatisfiable @t54) :rule refl :args (@t54)) % 0.29/0.56 (step @p17 (= tptp.mcountersatisfiable @t56) :rule refl :args (@t56)) % 0.29/0.56 (step @p18 (= tptp.minvalid @t57) :rule refl :args (@t57)) % 0.29/0.56 (step @p19 :rule quant-merge-prenex :args ((= (forall @t5 (forall @t68 @t66)) @t67))) % 0.29/0.56 (step @p20 :rule aci_norm :args ((= @t70 @t66))) % 0.29/0.56 (step @p21 :rule cong :premises (@p20) :args (@t71)) % 0.29/0.56 (step @p22 :rule quant-merge-prenex :args ((= (forall @t50 @t73) @t71))) % 0.29/0.56 (step @p23 :rule alpha_equiv :args (@t74 (@list @t60 @t58) (@list @t30 @t75))) % 0.29/0.56 (step @p24 :rule refl :args (@t65)) % 0.29/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t76)) % 0.29/0.56 (step @p26 :rule quant-miniscope-or :args ((= @t73 @t76))) % 0.29/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.29/0.56 (step @p28 :rule symm :premises (@p27)) % 0.29/0.56 (step @p29 :rule cong :premises (@p28) :args ((forall @t50 @t80))) % 0.29/0.56 (step @p30 :rule trans :premises (@p29 @p22)) % 0.29/0.56 (step @p31 :rule trans :premises (@p30 @p21)) % 0.29/0.56 (step @p32 :rule beta-reduce :args ((= @t87 @t80))) % 0.29/0.56 (step @p33 :rule cong :premises (@p32) :args (@t88)) % 0.29/0.56 (step @p34 :rule trans :premises (@p33 @p31)) % 0.29/0.56 (step @p35 :rule beta-reduce :args ((= (_ @t90 @t86) @t88))) % 0.29/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.29/0.56 (step @p37 :rule beta-reduce :args ((= @t95 @t82))) % 0.29/0.56 (step @p38 :rule refl :args (@t84)) % 0.29/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t96)) % 0.29/0.56 (step @p40 :rule cong :premises (@p39) :args (@t97)) % 0.29/0.56 (step @p41 :rule beta-reduce :args ((= (_ (lambda @t99 (or @t84 @t98)) @t94) @t97))) % 0.29/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.29/0.56 (step @p43 :rule aci_norm :args ((= @t101 @t93))) % 0.29/0.56 (step @p44 :rule cong :premises (@p43) :args (@t102)) % 0.29/0.56 (step @p45 :rule quant-merge-prenex :args ((= (forall @t34 @t104) @t102))) % 0.29/0.56 (step @p46 :rule alpha_equiv :args (@t105 (@list @t75) @t107)) % 0.29/0.56 (step @p47 :rule refl :args (@t92)) % 0.29/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t108)) % 0.29/0.56 (step @p49 :rule quant-miniscope-or :args ((= @t104 @t108))) % 0.29/0.56 (step @p50 :rule trans :premises (@p49 @p48)) % 0.29/0.56 (step @p51 :rule symm :premises (@p50)) % 0.29/0.56 (step @p52 :rule cong :premises (@p51) :args ((forall @t34 (or @t92 @t111)))) % 0.29/0.56 (step @p53 :rule trans :premises (@p52 @p45)) % 0.29/0.56 (step @p54 :rule trans :premises (@p53 @p44)) % 0.29/0.56 (step @p55 :rule beta-reduce :args ((= (_ (lambda @t13 (forall @t110 (or (not (_ @t2 @t12 @t106)) @t109))) @t30) @t111))) % 0.29/0.56 (step @p56 :rule refl :args (@t30)) % 0.29/0.56 (step @p57 :rule alpha_equiv :args (@t112 @t113 @t107)) % 0.29/0.56 (step @p58 :rule cong :premises (@p57) :args (@t114)) % 0.29/0.56 (step @p59 :rule ho_cong :premises (@p58 @p56)) % 0.29/0.56 (step @p60 :rule trans :premises (@p59 @p55)) % 0.29/0.56 (step @p61 :rule refl :args (@t92)) % 0.29/0.56 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t115)) % 0.29/0.56 (step @p63 :rule cong :premises (@p62) :args (@t116)) % 0.29/0.56 (step @p64 :rule trans :premises (@p63 @p54)) % 0.29/0.56 (step @p65 :rule cong :premises (@p64) :args (@t117)) % 0.29/0.56 (step @p66 :rule beta-reduce :args ((= (_ @t121 @t114) @t117))) % 0.29/0.56 (step @p67 :rule trans :premises (@p66 @p65)) % 0.29/0.56 (step @p68 :rule beta-reduce :args ((= (_ @t121 @t1) @t114))) % 0.29/0.56 (step @p69 :rule refl :args (@t1)) % 0.29/0.56 (step @p70 :rule beta-reduce :args ((= @t122 @t121))) % 0.29/0.56 (step @p71 :rule ho_cong :premises (@p70 @p69)) % 0.29/0.56 (step @p72 :rule trans :premises (@p71 @p68)) % 0.29/0.56 (step @p73 :rule ho_cong :premises (@p70 @p72)) % 0.29/0.56 (step @p74 :rule trans :premises (@p73 @p67)) % 0.29/0.56 (step @p75 :rule refl :args (@t98)) % 0.29/0.56 (step @p76 :rule beta-reduce :args ((= @t123 @t83))) % 0.29/0.56 (step @p77 :rule cong :premises (@p76) :args (@t124)) % 0.29/0.56 (step @p78 :rule nary_cong :premises (@p77 @p75) :args (@t125)) % 0.29/0.56 (step @p79 :rule cong :premises (@p78) :args (@t126)) % 0.29/0.56 (step @p80 :rule beta-reduce :args ((= (_ @t128 @t114) @t126))) % 0.29/0.56 (step @p81 :rule trans :premises (@p80 @p79)) % 0.29/0.56 (step @p82 :rule refl :args (@t128)) % 0.29/0.56 (step @p83 :rule ho_cong :premises (@p82 @p72)) % 0.29/0.56 (step @p84 :rule trans :premises (@p83 @p81)) % 0.29/0.56 (step @p85 :rule ho_cong :premises (@p84 @p74)) % 0.29/0.56 (step @p86 :rule trans :premises (@p85 @p42)) % 0.29/0.56 (step @p87 :rule refl :args (@t90)) % 0.29/0.56 (step @p88 :rule ho_cong :premises (@p87 @p86)) % 0.29/0.56 (step @p89 :rule trans :premises (@p88 @p36)) % 0.29/0.56 (step @p90 :rule cong :premises (@p89) :args ((forall @t5 (_ @t90 (_ (_ @t128 @t129) (_ @t122 @t129)))))) % 0.29/0.56 (step @p91 :rule trans :premises (@p90 @p19)) % 0.29/0.56 (step @p92 :rule refl :args (@t2)) % 0.29/0.56 (step @p93 :rule refl :args (@t118)) % 0.29/0.56 (step @p94 :rule refl :args (@t32)) % 0.29/0.56 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t32 @t118))) % 0.29/0.56 (step @p96 :rule symm :premises (@p95)) % 0.29/0.56 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.29/0.56 (step @p98 :rule refl :args (@t91)) % 0.29/0.56 (step @p99 :rule refl :args (@t33)) % 0.29/0.56 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t33 @t91))) % 0.29/0.56 (step @p101 :rule symm :premises (@p100)) % 0.29/0.56 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.29/0.56 (step @p103 :rule cong :premises (@p102) :args (@t130)) % 0.29/0.56 (step @p104 :rule nary_cong :premises (@p103 @p97) :args (@t131)) % 0.29/0.56 (step @p105 :rule cong :premises (@p104) :args ((forall @t34 @t131))) % 0.29/0.56 (step @p106 :rule bool-impl-elim :args (@t33 @t32)) % 0.29/0.56 (step @p107 :rule cong :premises (@p106) :args (@t35)) % 0.29/0.56 (step @p108 :rule trans :premises (@p107 @p105)) % 0.29/0.56 (step @p109 :rule cong :premises (@p108) :args (@t37)) % 0.29/0.56 (step @p110 :rule trans :premises (@p11 @p109)) % 0.29/0.56 (step @p111 :rule ho_cong :premises (@p110 @p92)) % 0.29/0.56 (step @p112 :rule ho_cong :premises (@p111 @p69)) % 0.29/0.56 (step @p113 :rule ho_cong :premises (@p111 @p112)) % 0.29/0.56 (step @p114 :rule beta-reduce :args ((= (_ @t134 @t24) @t127))) % 0.29/0.56 (step @p115 :rule refl :args (@t24)) % 0.29/0.56 (step @p116 :rule beta-reduce :args ((= (_ (lambda @t135 (or @t132 @t19)) @t25) @t134))) % 0.29/0.56 (step @p117 :rule refl :args (@t25)) % 0.29/0.56 (step @p118 :rule refl :args (@t19)) % 0.29/0.56 (step @p119 :rule beta-reduce :args ((= @t137 @t132))) % 0.29/0.56 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t138)) % 0.29/0.56 (step @p121 :rule cong :premises (@p120) :args (@t139)) % 0.29/0.56 (step @p122 :rule beta-reduce :args ((= (_ @t21 @t136) @t139))) % 0.29/0.56 (step @p123 :rule trans :premises (@p122 @p121)) % 0.29/0.56 (step @p124 :rule beta-reduce :args ((= (_ @t18 @t26) @t136))) % 0.29/0.56 (step @p125 :rule refl :args (@t21)) % 0.29/0.56 (step @p126 :rule ho_cong :premises (@p125 @p124)) % 0.29/0.56 (step @p127 :rule trans :premises (@p126 @p123)) % 0.29/0.56 (step @p128 :rule ho_cong :premises (@p127 @p117)) % 0.29/0.56 (step @p129 :rule trans :premises (@p128 @p116)) % 0.29/0.56 (step @p130 :rule ho_cong :premises (@p129 @p115)) % 0.29/0.56 (step @p131 :rule trans :premises (@p130 @p114)) % 0.29/0.56 (step @p132 :rule refl :args (@t26)) % 0.29/0.56 (step @p133 :rule ho_cong :premises (@p6 @p132)) % 0.29/0.56 (step @p134 :rule ho_cong :premises (@p7 @p133)) % 0.29/0.56 (step @p135 :rule ho_cong :premises (@p134 @p117)) % 0.29/0.56 (step @p136 :rule ho_cong :premises (@p135 @p115)) % 0.29/0.56 (step @p137 :rule trans :premises (@p136 @p131)) % 0.29/0.56 (step @p138 :rule cong :premises (@p137) :args (@t28)) % 0.29/0.56 (step @p139 :rule trans :premises (@p9 @p138)) % 0.29/0.56 (step @p140 :rule ho_cong :premises (@p139 @p112)) % 0.29/0.56 (step @p141 :rule ho_cong :premises (@p140 @p113)) % 0.29/0.56 (step @p142 :rule refl :args (@t89)) % 0.29/0.56 (step @p143 :rule refl :args (@t49)) % 0.29/0.56 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t49 @t89))) % 0.29/0.56 (step @p145 :rule symm :premises (@p144)) % 0.29/0.56 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 0.29/0.56 (step @p147 :rule cong :premises (@p146) :args (@t51)) % 0.29/0.56 (step @p148 :rule cong :premises (@p147) :args (@t53)) % 0.29/0.56 (step @p149 :rule trans :premises (@p15 @p148)) % 0.29/0.56 (step @p150 :rule ho_cong :premises (@p149 @p141)) % 0.29/0.56 (step @p151 :rule cong :premises (@p150) :args (@t6)) % 0.29/0.56 (step @p152 :rule trans :premises (@p151 @p91)) % 0.29/0.56 (step @p153 :rule eq_resolve :premises (@p1 @p152)) % 0.29/0.56 (step @p154 :rule quant-merge-prenex :args ((= (forall @t9 (forall @t158 @t156)) @t157))) % 0.29/0.56 (step @p155 :rule aci_norm :args ((= @t160 @t156))) % 0.29/0.56 (step @p156 :rule cong :premises (@p155) :args (@t161)) % 0.29/0.56 (step @p157 :rule quant-merge-prenex :args ((= (forall @t50 @t163) @t161))) % 0.29/0.56 (step @p158 :rule alpha_equiv :args (@t164 (@list @t143) @t113)) % 0.29/0.56 (step @p159 :rule refl :args (@t149)) % 0.29/0.56 (step @p160 :rule refl :args (@t155)) % 0.29/0.56 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158) :args (@t165)) % 0.29/0.56 (step @p162 :rule quant-miniscope-or :args ((= @t163 @t165))) % 0.29/0.56 (step @p163 :rule trans :premises (@p162 @p161)) % 0.29/0.56 (step @p164 :rule symm :premises (@p163)) % 0.29/0.56 (step @p165 :rule cong :premises (@p164) :args ((forall @t50 @t168))) % 0.29/0.56 (step @p166 :rule trans :premises (@p165 @p157)) % 0.29/0.56 (step @p167 :rule trans :premises (@p166 @p156)) % 0.29/0.56 (step @p168 :rule aci_norm :args ((= (or (or @t155 @t149) @t167) @t168))) % 0.29/0.56 (step @p169 :rule refl :args (@t167)) % 0.29/0.56 (step @p170 :rule bool-and-de-morgan :args (@t154 @t148 true)) % 0.29/0.56 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t169)) % 0.29/0.56 (step @p172 :rule trans :premises (@p171 @p168)) % 0.29/0.56 (step @p173 :rule cong :premises (@p172) :args ((forall @t50 @t169))) % 0.29/0.56 (step @p174 :rule trans :premises (@p173 @p167)) % 0.29/0.56 (step @p175 :rule beta-reduce :args ((= @t174 @t169))) % 0.29/0.56 (step @p176 :rule cong :premises (@p175) :args (@t175)) % 0.29/0.56 (step @p177 :rule trans :premises (@p176 @p174)) % 0.29/0.56 (step @p178 :rule beta-reduce :args ((= (_ @t90 @t173) @t175))) % 0.29/0.56 (step @p179 :rule trans :premises (@p178 @p177)) % 0.29/0.56 (step @p180 :rule beta-reduce :args ((= @t177 @t170))) % 0.29/0.56 (step @p181 :rule refl :args (@t172)) % 0.29/0.56 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t178)) % 0.29/0.56 (step @p183 :rule cong :premises (@p182) :args (@t179)) % 0.29/0.56 (step @p184 :rule beta-reduce :args ((= (_ (lambda @t99 (or @t172 @t98)) @t176) @t179))) % 0.29/0.56 (step @p185 :rule trans :premises (@p184 @p183)) % 0.29/0.56 (step @p186 :rule beta-reduce :args ((= (_ (lambda @t13 (not (forall @t144 (or (not (_ @t2 @t12 @t140)) @t142 @t141)))) @t30) @t166))) % 0.29/0.56 (step @p187 :rule alpha_equiv :args (@t181 @t113 (@list @t140))) % 0.29/0.56 (step @p188 :rule cong :premises (@p187) :args (@t182)) % 0.29/0.56 (step @p189 :rule cong :premises (@p188) :args (@t183)) % 0.29/0.56 (step @p190 :rule ho_cong :premises (@p189 @p56)) % 0.29/0.56 (step @p191 :rule trans :premises (@p190 @p186)) % 0.29/0.56 (step @p192 :rule nary_cong :premises (@p61 @p191) :args (@t184)) % 0.29/0.56 (step @p193 :rule cong :premises (@p192) :args (@t185)) % 0.29/0.56 (step @p194 :rule cong :premises (@p193) :args (@t186)) % 0.29/0.56 (step @p195 :rule beta-reduce :args ((= (_ @t121 @t183) @t186))) % 0.29/0.56 (step @p196 :rule trans :premises (@p195 @p194)) % 0.29/0.56 (step @p197 :rule refl :args (@t147)) % 0.29/0.56 (step @p198 :rule refl :args (@t187)) % 0.29/0.56 (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t187 @t147))) % 0.29/0.56 (step @p200 :rule symm :premises (@p199)) % 0.29/0.56 (step @p201 :rule eq_resolve :premises (@p198 @p200)) % 0.29/0.56 (step @p202 :rule cong :premises (@p201) :args (@t188)) % 0.29/0.56 (step @p203 :rule refl :args (@t63)) % 0.29/0.56 (step @p204 :rule refl :args (@t189)) % 0.29/0.56 (step @p205 :rule cong :premises (@p204 @p203) :args ((= @t189 @t63))) % 0.29/0.56 (step @p206 :rule symm :premises (@p205)) % 0.29/0.56 (step @p207 :rule eq_resolve :premises (@p204 @p206)) % 0.29/0.56 (step @p208 :rule cong :premises (@p207) :args (@t190)) % 0.29/0.56 (step @p209 :rule nary_cong :premises (@p47 @p208 @p202) :args (@t191)) % 0.29/0.56 (step @p210 :rule cong :premises (@p209) :args ((forall @t34 @t191))) % 0.29/0.56 (step @p211 :rule aci_norm :args ((= (or @t92 (or @t190 @t188)) @t191))) % 0.29/0.56 (step @p212 :rule bool-and-de-morgan :args (@t189 @t187 true)) % 0.29/0.56 (step @p213 :rule nary_cong :premises (@p47 @p212) :args (@t193)) % 0.29/0.56 (step @p214 :rule trans :premises (@p213 @p211)) % 0.29/0.56 (step @p215 :rule cong :premises (@p214) :args ((forall @t34 @t193))) % 0.29/0.56 (step @p216 :rule trans :premises (@p215 @p210)) % 0.29/0.56 (step @p217 :rule beta-reduce :args ((= @t195 @t192))) % 0.29/0.56 (step @p218 :rule cong :premises (@p217) :args (@t196)) % 0.29/0.56 (step @p219 :rule nary_cong :premises (@p61 @p218) :args (@t197)) % 0.29/0.56 (step @p220 :rule cong :premises (@p219) :args (@t198)) % 0.29/0.56 (step @p221 :rule trans :premises (@p220 @p216)) % 0.29/0.56 (step @p222 :rule cong :premises (@p221) :args (@t199)) % 0.29/0.56 (step @p223 :rule cong :premises (@p222) :args (@t200)) % 0.29/0.56 (step @p224 :rule beta-reduce :args ((= (_ @t202 @t194) @t200))) % 0.29/0.56 (step @p225 :rule trans :premises (@p224 @p223)) % 0.29/0.56 (step @p226 :rule beta-reduce :args ((= (_ @t203 @t7) @t194))) % 0.29/0.56 (step @p227 :rule refl :args (@t7)) % 0.29/0.56 (step @p228 :rule beta-reduce :args ((= @t204 @t203))) % 0.29/0.56 (step @p229 :rule ho_cong :premises (@p228 @p227)) % 0.29/0.56 (step @p230 :rule trans :premises (@p229 @p226)) % 0.29/0.56 (step @p231 :rule beta-reduce :args ((= @t205 @t202))) % 0.29/0.56 (step @p232 :rule ho_cong :premises (@p231 @p230)) % 0.29/0.56 (step @p233 :rule trans :premises (@p232 @p225)) % 0.29/0.56 (step @p234 :rule ho_cong :premises (@p70 @p233)) % 0.29/0.56 (step @p235 :rule trans :premises (@p234 @p196)) % 0.29/0.56 (step @p236 :rule beta-reduce :args ((= @t210 @t171))) % 0.29/0.56 (step @p237 :rule cong :premises (@p236) :args (@t211)) % 0.29/0.56 (step @p238 :rule nary_cong :premises (@p237 @p75) :args (@t212)) % 0.29/0.56 (step @p239 :rule cong :premises (@p238) :args (@t213)) % 0.29/0.56 (step @p240 :rule beta-reduce :args ((= (_ @t128 @t209) @t213))) % 0.29/0.56 (step @p241 :rule trans :premises (@p240 @p239)) % 0.29/0.56 (step @p242 :rule beta-reduce :args ((= @t215 @t207))) % 0.29/0.56 (step @p243 :rule refl :args (@t208)) % 0.29/0.56 (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t216)) % 0.29/0.56 (step @p245 :rule cong :premises (@p244) :args (@t217)) % 0.29/0.56 (step @p246 :rule beta-reduce :args ((= (_ (lambda @t135 (and @t208 @t19)) @t214) @t217))) % 0.29/0.56 (step @p247 :rule trans :premises (@p246 @p245)) % 0.29/0.56 (step @p248 :rule beta-reduce :args ((= (_ @t121 @t7) @t214))) % 0.29/0.56 (step @p249 :rule ho_cong :premises (@p70 @p227)) % 0.29/0.56 (step @p250 :rule trans :premises (@p249 @p248)) % 0.29/0.56 (step @p251 :rule beta-reduce :args ((= @t219 @t208))) % 0.29/0.56 (step @p252 :rule nary_cong :premises (@p251 @p118) :args (@t220)) % 0.29/0.56 (step @p253 :rule cong :premises (@p252) :args (@t221)) % 0.29/0.56 (step @p254 :rule beta-reduce :args ((= (_ @t23 @t218) @t221))) % 0.29/0.56 (step @p255 :rule trans :premises (@p254 @p253)) % 0.29/0.56 (step @p256 :rule beta-reduce :args ((= (_ (lambda @t13 (not (forall @t152 (or (not (_ @t2 @t12 @t150)) @t151)))) @t30) @t153))) % 0.29/0.56 (step @p257 :rule alpha_equiv :args (@t222 @t113 (@list @t150))) % 0.29/0.56 (step @p258 :rule cong :premises (@p257) :args (@t223)) % 0.29/0.56 (step @p259 :rule cong :premises (@p258) :args (@t224)) % 0.29/0.56 (step @p260 :rule ho_cong :premises (@p259 @p56)) % 0.29/0.56 (step @p261 :rule trans :premises (@p260 @p256)) % 0.29/0.56 (step @p262 :rule nary_cong :premises (@p61 @p261) :args (@t225)) % 0.29/0.56 (step @p263 :rule cong :premises (@p262) :args (@t226)) % 0.29/0.56 (step @p264 :rule cong :premises (@p263) :args (@t227)) % 0.29/0.56 (step @p265 :rule beta-reduce :args ((= (_ @t121 @t224) @t227))) % 0.29/0.56 (step @p266 :rule trans :premises (@p265 @p264)) % 0.29/0.56 (step @p267 :rule beta-reduce :args ((= (_ @t202 @t1) @t224))) % 0.29/0.56 (step @p268 :rule ho_cong :premises (@p231 @p69)) % 0.29/0.56 (step @p269 :rule trans :premises (@p268 @p267)) % 0.29/0.56 (step @p270 :rule ho_cong :premises (@p70 @p269)) % 0.29/0.56 (step @p271 :rule trans :premises (@p270 @p266)) % 0.29/0.56 (step @p272 :rule refl :args (@t23)) % 0.29/0.56 (step @p273 :rule ho_cong :premises (@p272 @p271)) % 0.29/0.56 (step @p274 :rule trans :premises (@p273 @p255)) % 0.29/0.56 (step @p275 :rule ho_cong :premises (@p274 @p250)) % 0.29/0.56 (step @p276 :rule trans :premises (@p275 @p247)) % 0.29/0.56 (step @p277 :rule ho_cong :premises (@p82 @p276)) % 0.29/0.56 (step @p278 :rule trans :premises (@p277 @p241)) % 0.29/0.56 (step @p279 :rule ho_cong :premises (@p278 @p235)) % 0.29/0.56 (step @p280 :rule trans :premises (@p279 @p185)) % 0.29/0.56 (step @p281 :rule ho_cong :premises (@p87 @p280)) % 0.29/0.56 (step @p282 :rule trans :premises (@p281 @p179)) % 0.29/0.56 (step @p283 :rule cong :premises (@p282) :args (@t228)) % 0.29/0.56 (step @p284 :rule trans :premises (@p283 @p154)) % 0.29/0.56 (step @p285 :rule cong :premises (@p284) :args ((not @t228))) % 0.29/0.56 (step @p286 :rule ho_cong :premises (@p8 @p69)) % 0.29/0.56 (step @p287 :rule ho_cong :premises (@p286 @p227)) % 0.29/0.56 (step @p288 :rule cong :premises (@p97) :args (@t229)) % 0.29/0.56 (step @p289 :rule nary_cong :premises (@p103 @p288) :args (@t230)) % 0.29/0.56 (step @p290 :rule cong :premises (@p289) :args ((forall @t34 @t230))) % 0.29/0.56 (step @p291 :rule bool-and-de-morgan :args (@t33 @t32 true)) % 0.29/0.56 (step @p292 :rule cong :premises (@p291) :args (@t231)) % 0.29/0.56 (step @p293 :rule trans :premises (@p292 @p290)) % 0.29/0.56 (step @p294 :rule cong :premises (@p293) :args (@t232)) % 0.29/0.56 (step @p295 :rule exists-elim :args ((= @t39 @t232))) % 0.29/0.56 (step @p296 :rule trans :premises (@p295 @p294)) % 0.29/0.56 (step @p297 :rule cong :premises (@p296) :args (@t40)) % 0.29/0.56 (step @p298 :rule trans :premises (@p12 @p297)) % 0.29/0.56 (step @p299 :rule ho_cong :premises (@p298 @p92)) % 0.29/0.56 (step @p300 :rule ho_cong :premises (@p299 @p287)) % 0.29/0.56 (step @p301 :rule ho_cong :premises (@p111 @p300)) % 0.29/0.56 (step @p302 :rule ho_cong :premises (@p111 @p227)) % 0.29/0.56 (step @p303 :rule ho_cong :premises (@p299 @p69)) % 0.29/0.56 (step @p304 :rule ho_cong :premises (@p111 @p303)) % 0.29/0.56 (step @p305 :rule ho_cong :premises (@p8 @p304)) % 0.29/0.56 (step @p306 :rule ho_cong :premises (@p305 @p302)) % 0.29/0.56 (step @p307 :rule ho_cong :premises (@p139 @p306)) % 0.29/0.56 (step @p308 :rule ho_cong :premises (@p307 @p301)) % 0.29/0.56 (step @p309 :rule ho_cong :premises (@p149 @p308)) % 0.29/0.56 (step @p310 :rule cong :premises (@p309) :args (@t10)) % 0.29/0.56 (step @p311 :rule cong :premises (@p310) :args (@t11)) % 0.29/0.56 (step @p312 :rule trans :premises (@p311 @p285)) % 0.29/0.56 (step @p313 :rule eq_resolve :premises (@p2 @p312)) % 0.29/0.56 (step @p314 :rule skolemize :premises (@p313)) % 0.29/0.56 (step @p315 :rule bool-double-not-elim :args (@t237)) % 0.29/0.56 (step @p316 :rule refl :args (@t248)) % 0.29/0.56 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or @t248 (not @t238)))) % 0.29/0.56 (step @p318 :rule cnf_or_neg :args (@t248 3)) % 0.29/0.56 (step @p319 :rule eq_resolve :premises (@p318 @p317)) % 0.29/0.56 (step @p320 :rule reordering :premises (@p319) :args ((or @t237 @t248))) % 0.29/0.56 (step @p321 :rule chain_m_resolution :premises (@p320 @p314) :args (@t237 @t249 @t250)) % 0.29/0.56 (step @p322 :rule instantiate :premises (@p321) :args ((@list @t252))) % 0.29/0.56 (step @p323 :rule bool-double-not-elim :args (@t246)) % 0.29/0.56 (step @p324 :rule nary_cong :premises (@p316 @p323) :args ((or @t248 (not @t247)))) % 0.29/0.56 (step @p325 :rule cnf_or_neg :args (@t248 0)) % 0.29/0.56 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.29/0.56 (step @p327 :rule reordering :premises (@p326) :args ((or @t246 @t248))) % 0.29/0.56 (step @p328 :rule chain_m_resolution :premises (@p327 @p314) :args (@t246 @t249 @t250)) % 0.29/0.56 (step @p329 :rule instantiate :premises (@p328) :args ((@list @t235))) % 0.29/0.56 (step @p330 :rule bool-double-not-elim :args (@t240)) % 0.29/0.56 (step @p331 :rule nary_cong :premises (@p316 @p330) :args ((or @t248 (not @t241)))) % 0.29/0.56 (step @p332 :rule cnf_or_neg :args (@t248 2)) % 0.29/0.56 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 0.29/0.56 (step @p334 :rule reordering :premises (@p333) :args ((or @t240 @t248))) % 0.29/0.56 (step @p335 :rule chain_m_resolution :premises (@p334 @p314) :args (@t240 @t249 @t250)) % 0.29/0.56 (step @p336 :rule cnf_or_pos :args (@t254)) % 0.29/0.56 (step @p337 :rule reordering :premises (@p336) :args ((or @t241 @t253 (not @t254)))) % 0.29/0.56 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p329) :args (@t253 (@list false false) (@list @t240 @t254))) % 0.29/0.56 (step @p339 :rule skolemize :premises (@p338)) % 0.29/0.56 (step @p340 :rule bool-double-not-elim :args (@t255)) % 0.29/0.56 (step @p341 :rule refl :args (@t259)) % 0.29/0.56 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t259 (not @t256)))) % 0.29/0.56 (step @p343 :rule cnf_or_neg :args (@t259 1)) % 0.29/0.56 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.29/0.56 (step @p345 :rule reordering :premises (@p344) :args ((or @t255 @t259))) % 0.29/0.56 (step @p346 :rule chain_m_resolution :premises (@p345 @p339) :args (@t255 @t249 @t260)) % 0.29/0.56 (step @p347 :rule bool-double-not-elim :args (@t257)) % 0.29/0.56 (step @p348 :rule nary_cong :premises (@p341 @p347) :args ((or @t259 (not @t258)))) % 0.29/0.56 (step @p349 :rule cnf_or_neg :args (@t259 0)) % 0.29/0.56 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 0.29/0.56 (step @p351 :rule reordering :premises (@p350) :args ((or @t257 @t259))) % 0.29/0.56 (step @p352 :rule chain_m_resolution :premises (@p351 @p339) :args (@t257 @t249 @t260)) % 0.29/0.56 (step @p353 :rule cnf_or_pos :args (@t263)) % 0.29/0.56 (step @p354 :rule reordering :premises (@p353) :args ((or @t258 @t256 @t262 (not @t263)))) % 0.29/0.56 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p346 @p322) :args (@t262 (@list false false false) (@list @t257 @t255 @t263))) % 0.29/0.56 (step @p356 :rule bool-double-not-elim :args (@t243)) % 0.29/0.56 (step @p357 :rule nary_cong :premises (@p316 @p356) :args ((or @t248 (not @t244)))) % 0.29/0.56 (step @p358 :rule cnf_or_neg :args (@t248 1)) % 0.29/0.56 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 0.29/0.56 (step @p360 :rule reordering :premises (@p359) :args ((or @t243 @t248))) % 0.29/0.56 (step @p361 :rule chain_m_resolution :premises (@p360 @p314) :args (@t243 @t249 @t250)) % 0.29/0.56 (step @p362 :rule cnf_or_pos :args (@t264)) % 0.29/0.56 (step @p363 :rule reordering :premises (@p362) :args ((or @t244 @t241 @t258 @t261 @t265))) % 0.29/0.56 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p335 @p352 @p355) :args (@t265 (@list false false false true) (@list @t243 @t240 @t257 @t261))) % 0.29/0.56 (assume-push @p371 @t67) % 0.29/0.56 (step @p366 :rule instantiate :premises (@p153) :args ((@list @t236 @t233 @t239 @t235 @t252))) % 0.29/0.56 (step-pop @p372 :rule scope :premises (@p366)) % 0.29/0.56 (step @p367 :rule process_scope :premises (@p372) :args (@t264)) % 0.29/0.56 (step @p369 :rule implies_elim :premises (@p367)) % 0.29/0.56 (step @p370 false :rule chain_m_resolution :premises (@p369 @p364 @p153) :args (false (@list true false) (@list @t264 @t67))) % 0.29/0.56 ) % 0.29/0.56 % SZS output end Proof % 0.29/0.57 % cvc5 exiting %------------------------------------------------------------------------------