%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV267^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:42 AM UTC 2026 % Result : Theorem 150.76s 151.03s % Output : Proof 150.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV267^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 18:23:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 150.76/151.03 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.76/151.03 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.76/151.03 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.76/151.03 --- Run --ho-elim --full-saturate-quant at 18s... % 150.76/151.03 % SZS status Theorem % 150.76/151.03 % SZS output start Proof % 150.76/151.03 ( % 150.76/151.03 (declare-sort tptp.a 0) % 150.76/151.03 (define @t1 () (@var "Xx0" tptp.a)) % 150.76/151.03 (define @t2 () (@var "S" (-> tptp.a Bool))) % 150.76/151.03 (define @t3 () (_ @t2 @t1)) % 150.76/151.03 (define @t4 () (@var "R" (-> tptp.a Bool))) % 150.76/151.03 (define @t5 () (_ @t4 @t1)) % 150.76/151.03 (define @t6 () (@list @t1)) % 150.76/151.03 (define @t7 () (forall @t6 (=> @t5 @t3))) % 150.76/151.03 (define @t8 () (@var "Xx" tptp.a)) % 150.76/151.03 (define @t9 () (@var "N" (-> tptp.a Bool))) % 150.76/151.03 (define @t10 () (_ @t9 @t8)) % 150.76/151.03 (define @t11 () (_ @t9 @t1)) % 150.76/151.03 (define @t12 () (forall @t6 (=> @t11 @t5))) % 150.76/151.03 (define @t13 () (@var "T" (-> (-> tptp.a Bool) Bool))) % 150.76/151.03 (define @t14 () (_ @t13 @t9)) % 150.76/151.03 (define @t15 () (and @t14 @t12 @t10)) % 150.76/151.03 (define @t16 () (@list @t9)) % 150.76/151.03 (define @t17 () (exists @t16 @t15)) % 150.76/151.03 (define @t18 () (and @t17 @t7)) % 150.76/151.03 (define @t19 () (@list @t4)) % 150.76/151.03 (define @t20 () (exists @t19 @t18)) % 150.76/151.03 (define @t21 () (_ @t2 @t8)) % 150.76/151.03 (define @t22 () (=> @t21 @t20)) % 150.76/151.03 (define @t23 () (@list @t8)) % 150.76/151.03 (define @t24 () (forall @t23 @t22)) % 150.76/151.03 (define @t25 () (_ @t13 @t2)) % 150.76/151.03 (define @t26 () (= @t25 @t24)) % 150.76/151.03 (define @t27 () (@list @t2)) % 150.76/151.03 (define @t28 () (forall @t27 @t26)) % 150.76/151.03 (define @t29 () (_ @t13 @t4)) % 150.76/151.03 (define @t30 () (@var "S_19" (-> tptp.a Bool))) % 150.76/151.03 (define @t31 () (_ @t30 @t8)) % 150.76/151.03 (define @t32 () (_ @t30 @t1)) % 150.76/151.03 (define @t33 () (forall @t6 (=> @t32 @t3))) % 150.76/151.03 (define @t34 () (_ @t13 @t30)) % 150.76/151.03 (define @t35 () (and @t34 @t33 @t31)) % 150.76/151.03 (define @t36 () (@list @t30)) % 150.76/151.03 (define @t37 () (exists @t36 @t35)) % 150.76/151.03 (define @t38 () (lambda @t23 @t37)) % 150.76/151.03 (define @t39 () (= @t4 @t38)) % 150.76/151.03 (define @t40 () (@var "Xx" (-> tptp.a Bool))) % 150.76/151.03 (define @t41 () (_ @t13 @t40)) % 150.76/151.03 (define @t42 () (_ @t40 @t1)) % 150.76/151.03 (define @t43 () (forall @t6 (=> @t42 @t3))) % 150.76/151.03 (define @t44 () (and @t41 @t43)) % 150.76/151.03 (define @t45 () (=> @t44 @t41)) % 150.76/151.03 (define @t46 () (@list @t40)) % 150.76/151.03 (define @t47 () (forall @t46 @t45)) % 150.76/151.03 (define @t48 () (and @t47 @t39)) % 150.76/151.03 (define @t49 () (=> @t48 @t29)) % 150.76/151.03 (define @t50 () (@list @t2 @t4)) % 150.76/151.03 (define @t51 () (forall @t50 @t49)) % 150.76/151.03 (define @t52 () (=> @t51 @t28)) % 150.76/151.03 (define @t53 () (@list @t13)) % 150.76/151.03 (define @t54 () (forall @t53 @t52)) % 150.76/151.03 (define @t55 () (not @t54)) % 150.76/151.03 (define @t56 () (@var "BOUND_VARIABLE_7684" (@ho-elim-sort (-> tptp.a Bool)))) % 150.76/151.03 (define @t57 () (@const 0 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 150.76/151.03 (define @t58 () (not (_ @t57 @t56 @t8))) % 150.76/151.03 (define @t59 () (@var "BOUND_VARIABLE_7687" (@ho-elim-sort (-> tptp.a Bool)))) % 150.76/151.03 (define @t60 () (_ @t57 @t59 @t1)) % 150.76/151.03 (define @t61 () (not (forall @t6 (or (not (_ @t57 @t56 @t1)) @t60)))) % 150.76/151.03 (define @t62 () (@var "BOUND_VARIABLE_7679" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 150.76/151.03 (define @t63 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)) (@ho-elim-sort (-> tptp.a Bool)) Bool))) % 150.76/151.03 (define @t64 () (@var "BOUND_VARIABLE_7674" (@ho-elim-sort (-> tptp.a Bool)))) % 150.76/151.03 (define @t65 () (not @t60)) % 150.76/151.03 (define @t66 () (@list @t59 @t56)) % 150.76/151.03 (define @t67 () (forall @t23 (or (not (_ @t57 @t64 @t8)) (not (forall @t66 (or (not (forall @t6 (or @t65 (_ @t57 @t64 @t1)))) (not (_ @t63 @t62 @t56)) @t61 @t58)))))) % 150.76/151.03 (define @t68 () (_ @t63 @t62 @t64)) % 150.76/151.03 (define @t69 () (@var "BOUND_VARIABLE_7715" (@ho-elim-sort (-> tptp.a Bool)))) % 150.76/151.03 (define @t70 () (@const 2 (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)) (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool)))) % 150.76/151.03 (define @t71 () (@const 3 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)) (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))))) % 150.76/151.03 (define @t72 () (@const 4 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool)) (@ho-elim-sort (-> tptp.a Bool)) (@ho-elim-sort (-> tptp.a Bool))))) % 150.76/151.03 (define @t73 () (@list @t69)) % 150.76/151.03 (define @t74 () (not (forall @t73 (_ @t63 @t62 (_ @t72 (_ @t71 @t70 @t62) @t69))))) % 150.76/151.03 (define @t75 () (or @t74 (= @t67 @t68))) % 150.76/151.03 (define @t76 () (@list @t62 @t64)) % 150.76/151.03 (define @t77 () (forall @t76 @t75)) % 150.76/151.03 (define @t78 () (not @t77)) % 150.76/151.03 (define @t79 () (@var "BOUND_VARIABLE_7605" (-> tptp.a Bool))) % 150.76/151.03 (define @t80 () (@var "BOUND_VARIABLE_7566" (-> tptp.a Bool))) % 150.76/151.03 (define @t81 () (not (_ @t80 @t8))) % 150.76/151.03 (define @t82 () (_ @t4 @t1)) % 150.76/151.03 (define @t83 () (not (forall @t6 (or (not (_ @t80 @t1)) @t82)))) % 150.76/151.03 (define @t84 () (not (_ @t13 @t80))) % 150.76/151.03 (define @t85 () (not @t82)) % 150.76/151.03 (define @t86 () (@list @t4 @t80)) % 150.76/151.03 (define @t87 () (= (forall @t23 (or (not (_ @t79 @t8)) (not (forall @t86 (or (not (forall @t6 (or @t85 (_ @t79 @t1)))) @t84 @t83 @t81))))) (_ @t13 @t79))) % 150.76/151.03 (define @t88 () (@const 5 (-> (-> (-> tptp.a Bool) Bool) (-> tptp.a Bool) tptp.a Bool))) % 150.76/151.03 (define @t89 () (@list @t13 @t79)) % 150.76/151.03 (define @t90 () (not (forall @t89 (or (not (forall @t27 (_ @t13 (_ (_ @t88 @t13) @t2)))) @t87)))) % 150.76/151.03 (define @t91 () (_ @t30 @t8)) % 150.76/151.03 (define @t92 () (_ @t2 @t1)) % 150.76/151.03 (define @t93 () (_ @t30 @t1)) % 150.76/151.03 (define @t94 () (not @t93)) % 150.76/151.03 (define @t95 () (forall @t6 (or @t94 @t92))) % 150.76/151.03 (define @t96 () (not @t95)) % 150.76/151.03 (define @t97 () (_ @t13 @t30)) % 150.76/151.03 (define @t98 () (lambda @t23 (not (forall @t36 (or (not @t97) @t96 (not @t91)))))) % 150.76/151.03 (define @t99 () (_ @t13 @t98)) % 150.76/151.03 (define @t100 () (forall @t27 @t99)) % 150.76/151.03 (define @t101 () (not @t100)) % 150.76/151.03 (define @t102 () (or @t101 @t87)) % 150.76/151.03 (define @t103 () (forall @t89 @t102)) % 150.76/151.03 (define @t104 () (@list @t79)) % 150.76/151.03 (define @t105 () (forall @t104 @t102)) % 150.76/151.03 (define @t106 () (forall @t104 @t87)) % 150.76/151.03 (define @t107 () (or @t101 @t106)) % 150.76/151.03 (define @t108 () (_ @t13 @t2)) % 150.76/151.03 (define @t109 () (forall @t6 (or @t85 @t92))) % 150.76/151.03 (define @t110 () (not @t109)) % 150.76/151.03 (define @t111 () (or @t110 @t84 @t83 @t81)) % 150.76/151.03 (define @t112 () (not (forall @t86 @t111))) % 150.76/151.03 (define @t113 () (_ @t2 @t8)) % 150.76/151.03 (define @t114 () (forall @t23 (or (not @t113) @t112))) % 150.76/151.03 (define @t115 () (forall @t27 (= @t114 @t108))) % 150.76/151.03 (define @t116 () (= @t25 @t114)) % 150.76/151.03 (define @t117 () (not @t21)) % 150.76/151.03 (define @t118 () (or @t117 @t112)) % 150.76/151.03 (define @t119 () (or @t84 @t83 @t81)) % 150.76/151.03 (define @t120 () (or @t119 @t110)) % 150.76/151.03 (define @t121 () (forall @t86 @t120)) % 150.76/151.03 (define @t122 () (@list @t80)) % 150.76/151.03 (define @t123 () (forall @t122 @t120)) % 150.76/151.03 (define @t124 () (forall @t122 @t119)) % 150.76/151.03 (define @t125 () (or @t124 @t110)) % 150.76/151.03 (define @t126 () (_ @t9 @t8)) % 150.76/151.03 (define @t127 () (_ @t9 @t1)) % 150.76/151.03 (define @t128 () (forall @t6 (or (not @t127) @t82))) % 150.76/151.03 (define @t129 () (not @t128)) % 150.76/151.03 (define @t130 () (_ @t13 @t9)) % 150.76/151.03 (define @t131 () (forall @t16 (or (not @t130) @t129 (not @t126)))) % 150.76/151.03 (define @t132 () (not @t131)) % 150.76/151.03 (define @t133 () (and @t132 @t109)) % 150.76/151.03 (define @t134 () (forall @t19 (not @t133))) % 150.76/151.03 (define @t135 () (not @t134)) % 150.76/151.03 (define @t136 () (not @t5)) % 150.76/151.03 (define @t137 () (or @t136 @t3)) % 150.76/151.03 (define @t138 () (not @t10)) % 150.76/151.03 (define @t139 () (not @t14)) % 150.76/151.03 (define @t140 () (or @t139 @t129 @t138)) % 150.76/151.03 (define @t141 () (and @t14 @t128 @t10)) % 150.76/151.03 (define @t142 () (forall @t16 (not @t141))) % 150.76/151.03 (define @t143 () (not @t142)) % 150.76/151.03 (define @t144 () (not @t11)) % 150.76/151.03 (define @t145 () (or @t144 @t5)) % 150.76/151.03 (define @t146 () (not (= @t98 @t98))) % 150.76/151.03 (define @t147 () (or @t146 @t99)) % 150.76/151.03 (define @t148 () (_ @t13 @t4)) % 150.76/151.03 (define @t149 () (= @t4 @t98)) % 150.76/151.03 (define @t150 () (not @t149)) % 150.76/151.03 (define @t151 () (or @t150 @t150 @t148)) % 150.76/151.03 (define @t152 () (or @t150 @t148)) % 150.76/151.03 (define @t153 () (forall @t19 @t152)) % 150.76/151.03 (define @t154 () (forall @t27 @t153)) % 150.76/151.03 (define @t155 () (or @t150 @t29)) % 150.76/151.03 (define @t156 () (not @t31)) % 150.76/151.03 (define @t157 () (not @t34)) % 150.76/151.03 (define @t158 () (or @t157 @t96 @t156)) % 150.76/151.03 (define @t159 () (and @t34 @t95 @t31)) % 150.76/151.03 (define @t160 () (forall @t36 (not @t159))) % 150.76/151.03 (define @t161 () (not @t160)) % 150.76/151.03 (define @t162 () (not @t32)) % 150.76/151.03 (define @t163 () (or @t162 @t3)) % 150.76/151.03 (define @t164 () (_ @t40 @t1)) % 150.76/151.03 (define @t165 () (forall @t6 (or (not @t164) @t92))) % 150.76/151.03 (define @t166 () (not @t165)) % 150.76/151.03 (define @t167 () (not @t41)) % 150.76/151.03 (define @t168 () (and @t41 @t165)) % 150.76/151.03 (define @t169 () (not @t42)) % 150.76/151.03 (define @t170 () (or @t169 @t3)) % 150.76/151.03 (define @t171 () (forall @t76 (or @t74 (= @t68 @t67)))) % 150.76/151.03 (define @t172 () (@quantifiers_skolemize @t171 0)) % 150.76/151.03 (define @t173 () (_ @t71 @t70 @t172)) % 150.76/151.03 (define @t174 () (forall @t73 (_ @t63 @t172 (_ @t72 @t173 @t69)))) % 150.76/151.03 (define @t175 () (not (_ @t63 @t172 @t56))) % 150.76/151.03 (define @t176 () (@quantifiers_skolemize @t171 1)) % 150.76/151.03 (define @t177 () (_ @t57 @t176 @t1)) % 150.76/151.03 (define @t178 () (not (forall @t6 (or @t65 @t177)))) % 150.76/151.03 (define @t179 () (forall @t23 (or (not (_ @t57 @t176 @t8)) (not (forall @t66 (or @t178 @t175 @t61 @t58)))))) % 150.76/151.03 (define @t180 () (_ @t63 @t172 @t176)) % 150.76/151.03 (define @t181 () (= @t180 @t179)) % 150.76/151.03 (define @t182 () (not @t174)) % 150.76/151.03 (define @t183 () (or @t182 @t181)) % 150.76/151.03 (define @t184 () (@list true)) % 150.76/151.03 (define @t185 () (@list @t183)) % 150.76/151.03 (define @t186 () (@quantifiers_skolemize @t179 0)) % 150.76/151.03 (define @t187 () (forall @t66 (or @t178 @t175 @t61 (not (_ @t57 @t56 @t186))))) % 150.76/151.03 (define @t188 () (not @t187)) % 150.76/151.03 (define @t189 () (_ @t57 @t176 @t186)) % 150.76/151.03 (define @t190 () (not @t189)) % 150.76/151.03 (define @t191 () (or @t190 @t188)) % 150.76/151.03 (define @t192 () (not @t191)) % 150.76/151.03 (define @t193 () (not @t179)) % 150.76/151.03 (define @t194 () (not @t180)) % 150.76/151.03 (define @t195 () (or @t194 @t190)) % 150.76/151.03 (define @t196 () (forall @t6 (or (not @t177) @t177))) % 150.76/151.03 (define @t197 () (not @t196)) % 150.76/151.03 (define @t198 () (or @t197 @t194 @t197 @t190)) % 150.76/151.03 (define @t199 () (@var "y" (@ho-elim-sort (-> tptp.a Bool)))) % 150.76/151.03 (define @t200 () (@var "x" (@ho-elim-sort (-> tptp.a Bool)))) % 150.76/151.03 (define @t201 () (@var "z" tptp.a)) % 150.76/151.03 (define @t202 () (@list @t201)) % 150.76/151.03 (define @t203 () (_ @t72 @t173 @t176)) % 150.76/151.03 (define @t204 () (forall @t202 (= (_ @t57 @t176 @t201) (_ @t57 @t203 @t201)))) % 150.76/151.03 (define @t205 () (@quantifiers_skolemize @t204 0)) % 150.76/151.03 (define @t206 () (_ @t57 @t203 @t205)) % 150.76/151.03 (define @t207 () (_ @t57 @t176 @t205)) % 150.76/151.03 (define @t208 () (= @t207 @t206)) % 150.76/151.03 (define @t209 () (@list @t205)) % 150.76/151.03 (define @t210 () (forall @t66 (or @t178 @t175 @t61 (not (_ @t57 @t56 @t205))))) % 150.76/151.03 (define @t211 () (not @t210)) % 150.76/151.03 (define @t212 () (not @t207)) % 150.76/151.03 (define @t213 () (or @t212 @t211)) % 150.76/151.03 (define @t214 () (@list false)) % 150.76/151.03 (define @t215 () (@var "BOUND_VARIABLE_7653" tptp.a)) % 150.76/151.03 (define @t216 () (@var "BOUND_VARIABLE_7750" (@ho-elim-sort (-> tptp.a Bool)))) % 150.76/151.03 (define @t217 () (@var "BOUND_VARIABLE_7744" (@ho-elim-sort (-> tptp.a Bool)))) % 150.76/151.03 (define @t218 () (not (_ @t57 @t216 @t1))) % 150.76/151.03 (define @t219 () (@var "BOUND_VARIABLE_7745" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 150.76/151.03 (define @t220 () (@list @t216)) % 150.76/151.03 (define @t221 () (not (forall @t220 (or (not (_ @t63 @t219 @t216)) (not (forall @t6 (or @t218 (_ @t57 @t217 @t1)))) (not (_ @t57 @t216 @t215)))))) % 150.76/151.03 (define @t222 () (_ @t57 (_ @t72 (_ @t71 @t70 @t219) @t217) @t215)) % 150.76/151.03 (define @t223 () (forall (@list @t219 @t217 @t215) (= @t221 @t222))) % 150.76/151.03 (define @t224 () (@var "BOUND_VARIABLE_7652" (-> tptp.a Bool))) % 150.76/151.03 (define @t225 () (@var "BOUND_VARIABLE_7651" (-> (-> tptp.a Bool) Bool))) % 150.76/151.03 (define @t226 () (forall (@list @t225 @t224 @t215) (= (not (forall @t36 (or (not (_ @t225 @t30)) (not (forall @t6 (or @t94 (_ @t224 @t1)))) (not (_ @t30 @t215))))) (_ @t88 @t225 @t224 @t215)))) % 150.76/151.03 (define @t227 () (forall @t220 (or (not (_ @t63 @t172 @t216)) (not (forall @t6 (or @t218 @t177))) (not (_ @t57 @t216 @t205))))) % 150.76/151.03 (define @t228 () (not @t227)) % 150.76/151.03 (define @t229 () (= @t206 @t228)) % 150.76/151.03 (define @t230 () (not @t229)) % 150.76/151.03 (define @t231 () (not @t228)) % 150.76/151.03 (define @t232 () (@quantifiers_skolemize @t210 1)) % 150.76/151.03 (define @t233 () (_ @t57 @t232 @t205)) % 150.76/151.03 (define @t234 () (not @t233)) % 150.76/151.03 (define @t235 () (@quantifiers_skolemize @t210 0)) % 150.76/151.03 (define @t236 () (_ @t57 @t235 @t1)) % 150.76/151.03 (define @t237 () (not (_ @t57 @t232 @t1))) % 150.76/151.03 (define @t238 () (forall @t6 (or @t237 @t236))) % 150.76/151.03 (define @t239 () (not @t238)) % 150.76/151.03 (define @t240 () (_ @t63 @t172 @t232)) % 150.76/151.03 (define @t241 () (not @t240)) % 150.76/151.03 (define @t242 () (forall @t6 (or (not @t236) @t177))) % 150.76/151.03 (define @t243 () (not @t242)) % 150.76/151.03 (define @t244 () (or @t243 @t241 @t239 @t234)) % 150.76/151.03 (define @t245 () (not @t244)) % 150.76/151.03 (define @t246 () (forall @t6 (or @t237 @t177))) % 150.76/151.03 (define @t247 () (not @t246)) % 150.76/151.03 (define @t248 () (or @t241 @t247 @t234)) % 150.76/151.03 (define @t249 () (@quantifiers_skolemize @t246 0)) % 150.76/151.03 (define @t250 () (@list @t249)) % 150.76/151.03 (define @t251 () (_ @t57 @t176 @t249)) % 150.76/151.03 (define @t252 () (_ @t57 @t235 @t249)) % 150.76/151.03 (define @t253 () (not @t252)) % 150.76/151.03 (define @t254 () (or @t253 @t251)) % 150.76/151.03 (define @t255 () (_ @t57 @t232 @t249)) % 150.76/151.03 (define @t256 () (not @t255)) % 150.76/151.03 (define @t257 () (or @t256 @t252)) % 150.76/151.03 (define @t258 () (or @t256 @t251)) % 150.76/151.03 (define @t259 () (not @t258)) % 150.76/151.03 (define @t260 () (@quantifiers_skolemize @t227 0)) % 150.76/151.03 (define @t261 () (_ @t57 @t260 @t205)) % 150.76/151.03 (define @t262 () (not @t261)) % 150.76/151.03 (define @t263 () (forall @t6 (or (not (_ @t57 @t260 @t1)) @t177))) % 150.76/151.03 (define @t264 () (not @t263)) % 150.76/151.03 (define @t265 () (or (not (_ @t63 @t172 @t260)) @t264 @t262)) % 150.76/151.03 (define @t266 () (not @t265)) % 150.76/151.03 (define @t267 () (or @t262 @t207)) % 150.76/151.03 (define @t268 () (not @t208)) % 150.76/151.03 (define @t269 () (not @t204)) % 150.76/151.03 (define @t270 () (= @t176 @t203)) % 150.76/151.03 (define @t271 () (or @t269 @t270)) % 150.76/151.03 (define @t272 () (not @t270)) % 150.76/151.03 (define @t273 () (_ @t63 @t172 @t203)) % 150.76/151.03 (define @t274 () (not @t273)) % 150.76/151.03 (define @t275 () (and @t194 @t270 @t273)) % 150.76/151.03 (assume @p1 @t55) % 150.76/151.03 (assume @p2 true) % 150.76/151.03 (step @p3 :rule eq-symm :args (@t67 @t68)) % 150.76/151.03 (step @p4 :rule refl :args (@t74)) % 150.76/151.03 (step @p5 :rule nary_cong :premises (@p4 @p3) :args (@t75)) % 150.76/151.03 (step @p6 :rule cong :premises (@p5) :args (@t77)) % 150.76/151.03 (step @p7 :rule cong :premises (@p6) :args (@t78)) % 150.76/151.03 ; WARNING: add trust step for TRUST % 150.76/151.03 ; trust TRUST PREPROCESS_HO_ELIM % 150.76/151.03 (step @p8 :rule trust :premises () :args ((= @t90 @t78))) % 150.76/151.03 ; trust TRUST PREPROCESS_HO_ELIM % 150.76/151.03 (step @p9 :rule trust :premises () :args ((= (not @t103) @t90))) % 150.76/151.03 (step @p10 :rule quant-merge-prenex :args ((= (forall @t53 @t105) @t103))) % 150.76/151.03 (step @p11 :rule alpha_equiv :args (@t106 (@list @t79) (@list @t2))) % 150.76/151.03 (step @p12 :rule refl :args (@t101)) % 150.76/151.03 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t107)) % 150.76/151.03 (step @p14 :rule quant-miniscope-or :args ((= @t105 @t107))) % 150.76/151.03 (step @p15 :rule trans :premises (@p14 @p13)) % 150.76/151.03 (step @p16 :rule symm :premises (@p15)) % 150.76/151.03 (step @p17 :rule cong :premises (@p16) :args ((forall @t53 (or @t101 @t115)))) % 150.76/151.03 (step @p18 :rule trans :premises (@p17 @p10)) % 150.76/151.03 (step @p19 :rule bool-impl-elim :args (@t100 @t115)) % 150.76/151.03 (step @p20 :rule cong :premises (@p19) :args ((forall @t53 (=> @t100 @t115)))) % 150.76/151.03 (step @p21 :rule trans :premises (@p20 @p18)) % 150.76/151.03 (step @p22 :rule eq-symm :args (@t108 @t114)) % 150.76/151.03 (step @p23 :rule cong :premises (@p22) :args ((forall @t27 (= @t108 @t114)))) % 150.76/151.03 (step @p24 :rule refl :args (@t114)) % 150.76/151.03 (step @p25 :rule refl :args (@t108)) % 150.76/151.03 (step @p26 :rule refl :args (@t25)) % 150.76/151.03 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t25 @t108))) % 150.76/151.03 (step @p28 :rule symm :premises (@p27)) % 150.76/151.03 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 150.76/151.03 (step @p30 :rule cong :premises (@p29 @p24) :args (@t116)) % 150.76/151.03 (step @p31 :rule cong :premises (@p30) :args ((forall @t27 @t116))) % 150.76/151.03 (step @p32 :rule trans :premises (@p31 @p23)) % 150.76/151.03 (step @p33 :rule refl :args (@t112)) % 150.76/151.03 (step @p34 :rule refl :args (@t113)) % 150.76/151.03 (step @p35 :rule refl :args (@t21)) % 150.76/151.03 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t21 @t113))) % 150.76/151.03 (step @p37 :rule symm :premises (@p36)) % 150.76/151.03 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 150.76/151.03 (step @p39 :rule cong :premises (@p38) :args (@t117)) % 150.76/151.03 (step @p40 :rule nary_cong :premises (@p39 @p33) :args (@t118)) % 150.76/151.03 (step @p41 :rule cong :premises (@p40) :args ((forall @t23 @t118))) % 150.76/151.03 (step @p42 :rule bool-impl-elim :args (@t21 @t112)) % 150.76/151.03 (step @p43 :rule cong :premises (@p42) :args ((forall @t23 (=> @t21 @t112)))) % 150.76/151.03 (step @p44 :rule trans :premises (@p43 @p41)) % 150.76/151.03 (step @p45 :rule aci_norm :args ((= @t120 @t111))) % 150.76/151.03 (step @p46 :rule cong :premises (@p45) :args (@t121)) % 150.76/151.03 (step @p47 :rule quant-merge-prenex :args ((= (forall @t19 @t123) @t121))) % 150.76/151.03 (step @p48 :rule refl :args (@t110)) % 150.76/151.03 (step @p49 :rule alpha_equiv :args (@t124 (@list @t80) (@list @t9))) % 150.76/151.03 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t125)) % 150.76/151.03 (step @p51 :rule quant-miniscope-or :args ((= @t123 @t125))) % 150.76/151.03 (step @p52 :rule trans :premises (@p51 @p50)) % 150.76/151.03 (step @p53 :rule symm :premises (@p52)) % 150.76/151.03 (step @p54 :rule cong :premises (@p53) :args ((forall @t19 (or @t131 @t110)))) % 150.76/151.03 (step @p55 :rule trans :premises (@p54 @p47)) % 150.76/151.03 (step @p56 :rule trans :premises (@p55 @p46)) % 150.76/151.03 (step @p57 :rule bool-double-not-elim :args (@t131)) % 150.76/151.03 (step @p58 :rule nary_cong :premises (@p57 @p48) :args ((or (not @t132) @t110))) % 150.76/151.03 (step @p59 :rule bool-and-de-morgan :args (@t132 @t109 true)) % 150.76/151.03 (step @p60 :rule trans :premises (@p59 @p58)) % 150.76/151.03 (step @p61 :rule cong :premises (@p60) :args (@t134)) % 150.76/151.03 (step @p62 :rule trans :premises (@p61 @p56)) % 150.76/151.03 (step @p63 :rule cong :premises (@p62) :args (@t135)) % 150.76/151.03 (step @p64 :rule exists-elim :args ((= (exists @t19 @t133) @t135))) % 150.76/151.03 (step @p65 :rule trans :premises (@p64 @p63)) % 150.76/151.03 (step @p66 :rule refl :args (@t92)) % 150.76/151.03 (step @p67 :rule refl :args (@t3)) % 150.76/151.03 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t3 @t92))) % 150.76/151.03 (step @p69 :rule symm :premises (@p68)) % 150.76/151.03 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 150.76/151.03 (step @p71 :rule refl :args (@t82)) % 150.76/151.03 (step @p72 :rule refl :args (@t5)) % 150.76/151.03 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t5 @t82))) % 150.76/151.03 (step @p74 :rule symm :premises (@p73)) % 150.76/151.03 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 150.76/151.03 (step @p76 :rule cong :premises (@p75) :args (@t136)) % 150.76/151.03 (step @p77 :rule nary_cong :premises (@p76 @p70) :args (@t137)) % 150.76/151.03 (step @p78 :rule cong :premises (@p77) :args ((forall @t6 @t137))) % 150.76/151.03 (step @p79 :rule bool-impl-elim :args (@t5 @t3)) % 150.76/151.03 (step @p80 :rule cong :premises (@p79) :args (@t7)) % 150.76/151.03 (step @p81 :rule trans :premises (@p80 @p78)) % 150.76/151.03 (step @p82 :rule refl :args (@t126)) % 150.76/151.03 (step @p83 :rule refl :args (@t10)) % 150.76/151.03 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t10 @t126))) % 150.76/151.03 (step @p85 :rule symm :premises (@p84)) % 150.76/151.03 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 150.76/151.03 (step @p87 :rule cong :premises (@p86) :args (@t138)) % 150.76/151.03 (step @p88 :rule refl :args (@t129)) % 150.76/151.03 (step @p89 :rule refl :args (@t130)) % 150.76/151.03 (step @p90 :rule refl :args (@t14)) % 150.76/151.03 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t14 @t130))) % 150.76/151.03 (step @p92 :rule symm :premises (@p91)) % 150.76/151.03 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 150.76/151.03 (step @p94 :rule cong :premises (@p93) :args (@t139)) % 150.76/151.03 (step @p95 :rule nary_cong :premises (@p94 @p88 @p87) :args (@t140)) % 150.76/151.03 (step @p96 :rule cong :premises (@p95) :args ((forall @t16 @t140))) % 150.76/151.03 (step @p97 :rule aci_norm :args ((= (or @t139 (or @t129 @t138)) @t140))) % 150.76/151.03 (step @p98 :rule bool-and-de-morgan :args (@t128 @t10 true)) % 150.76/151.03 (step @p99 :rule refl :args (@t139)) % 150.76/151.03 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t139 (not (and @t128 @t10))))) % 150.76/151.03 (step @p101 :rule bool-and-de-morgan :args (@t14 @t128 (and @t10))) % 150.76/151.03 (step @p102 :rule trans :premises (@p101 @p100)) % 150.76/151.03 (step @p103 :rule trans :premises (@p102 @p97)) % 150.76/151.03 (step @p104 :rule cong :premises (@p103) :args (@t142)) % 150.76/151.03 (step @p105 :rule trans :premises (@p104 @p96)) % 150.76/151.03 (step @p106 :rule cong :premises (@p105) :args (@t143)) % 150.76/151.03 (step @p107 :rule exists-elim :args ((= (exists @t16 @t141) @t143))) % 150.76/151.03 (step @p108 :rule trans :premises (@p107 @p106)) % 150.76/151.03 (step @p109 :rule refl :args (@t10)) % 150.76/151.03 (step @p110 :rule refl :args (@t127)) % 150.76/151.03 (step @p111 :rule refl :args (@t11)) % 150.76/151.03 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t11 @t127))) % 150.76/151.03 (step @p113 :rule symm :premises (@p112)) % 150.76/151.03 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 150.76/151.03 (step @p115 :rule cong :premises (@p114) :args (@t144)) % 150.76/151.03 (step @p116 :rule nary_cong :premises (@p115 @p75) :args (@t145)) % 150.76/151.03 (step @p117 :rule cong :premises (@p116) :args ((forall @t6 @t145))) % 150.76/151.03 (step @p118 :rule bool-impl-elim :args (@t11 @t5)) % 150.76/151.03 (step @p119 :rule cong :premises (@p118) :args (@t12)) % 150.76/151.03 (step @p120 :rule trans :premises (@p119 @p117)) % 150.76/151.03 (step @p121 :rule refl :args (@t14)) % 150.76/151.03 (step @p122 :rule nary_cong :premises (@p121 @p120 @p109) :args (@t15)) % 150.76/151.03 (step @p123 :rule cong :premises (@p122) :args (@t17)) % 150.76/151.03 (step @p124 :rule trans :premises (@p123 @p108)) % 150.76/151.03 (step @p125 :rule nary_cong :premises (@p124 @p81) :args (@t18)) % 150.76/151.03 (step @p126 :rule cong :premises (@p125) :args (@t20)) % 150.76/151.03 (step @p127 :rule trans :premises (@p126 @p65)) % 150.76/151.03 (step @p128 :rule refl :args (@t21)) % 150.76/151.03 (step @p129 :rule cong :premises (@p128 @p127) :args (@t22)) % 150.76/151.03 (step @p130 :rule cong :premises (@p129) :args (@t24)) % 150.76/151.03 (step @p131 :rule trans :premises (@p130 @p44)) % 150.76/151.03 (step @p132 :rule refl :args (@t25)) % 150.76/151.03 (step @p133 :rule cong :premises (@p132 @p131) :args (@t26)) % 150.76/151.03 (step @p134 :rule cong :premises (@p133) :args (@t28)) % 150.76/151.03 (step @p135 :rule trans :premises (@p134 @p32)) % 150.76/151.03 (step @p136 :rule aci_norm :args ((= (or false @t99) @t99))) % 150.76/151.03 (step @p137 :rule refl :args (@t99)) % 150.76/151.03 (step @p138 :rule evaluate :args ((not true))) % 150.76/151.03 (step @p139 :rule eq-refl :args (@t98)) % 150.76/151.03 (step @p140 :rule cong :premises (@p139) :args (@t146)) % 150.76/151.03 (step @p141 :rule trans :premises (@p140 @p138)) % 150.76/151.03 (step @p142 :rule nary_cong :premises (@p141 @p137) :args (@t147)) % 150.76/151.03 (step @p143 :rule trans :premises (@p142 @p136)) % 150.76/151.03 (step @p144 :rule cong :premises (@p143) :args ((forall @t27 @t147))) % 150.76/151.03 (step @p145 :rule quant-var-elim-eq :args ((= (forall @t19 @t151) @t147))) % 150.76/151.03 (step @p146 :rule aci_norm :args ((= @t152 @t151))) % 150.76/151.03 (step @p147 :rule cong :premises (@p146) :args (@t153)) % 150.76/151.03 (step @p148 :rule trans :premises (@p147 @p145)) % 150.76/151.03 (step @p149 :rule cong :premises (@p148) :args (@t154)) % 150.76/151.03 (step @p150 :rule quant-merge-prenex :args ((= @t154 (forall @t50 @t152)))) % 150.76/151.03 (step @p151 :rule symm :premises (@p150)) % 150.76/151.03 (step @p152 :rule trans :premises (@p151 @p149)) % 150.76/151.03 (step @p153 :rule trans :premises (@p152 @p144)) % 150.76/151.03 (step @p154 :rule refl :args (@t148)) % 150.76/151.03 (step @p155 :rule refl :args (@t29)) % 150.76/151.03 (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t29 @t148))) % 150.76/151.03 (step @p157 :rule symm :premises (@p156)) % 150.76/151.03 (step @p158 :rule eq_resolve :premises (@p155 @p157)) % 150.76/151.03 (step @p159 :rule refl :args (@t150)) % 150.76/151.03 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t155)) % 150.76/151.03 (step @p161 :rule cong :premises (@p160) :args ((forall @t50 @t155))) % 150.76/151.03 (step @p162 :rule trans :premises (@p161 @p153)) % 150.76/151.03 (step @p163 :rule bool-impl-elim :args (@t149 @t29)) % 150.76/151.03 (step @p164 :rule cong :premises (@p163) :args ((forall @t50 (=> @t149 @t29)))) % 150.76/151.03 (step @p165 :rule trans :premises (@p164 @p162)) % 150.76/151.03 (step @p166 :rule refl :args (@t29)) % 150.76/151.03 (step @p167 :rule aci_norm :args ((= (and true @t149) @t149))) % 150.76/151.03 (step @p168 :rule refl :args (@t91)) % 150.76/151.03 (step @p169 :rule refl :args (@t31)) % 150.76/151.03 (step @p170 :rule cong :premises (@p169 @p168) :args ((= @t31 @t91))) % 150.76/151.03 (step @p171 :rule symm :premises (@p170)) % 150.76/151.03 (step @p172 :rule eq_resolve :premises (@p169 @p171)) % 150.76/151.03 (step @p173 :rule cong :premises (@p172) :args (@t156)) % 150.76/151.03 (step @p174 :rule refl :args (@t96)) % 150.76/151.03 (step @p175 :rule refl :args (@t97)) % 150.76/151.03 (step @p176 :rule refl :args (@t34)) % 150.76/151.03 (step @p177 :rule cong :premises (@p176 @p175) :args ((= @t34 @t97))) % 150.76/151.03 (step @p178 :rule symm :premises (@p177)) % 150.76/151.03 (step @p179 :rule eq_resolve :premises (@p176 @p178)) % 150.76/151.03 (step @p180 :rule cong :premises (@p179) :args (@t157)) % 150.76/151.03 (step @p181 :rule nary_cong :premises (@p180 @p174 @p173) :args (@t158)) % 150.76/151.03 (step @p182 :rule cong :premises (@p181) :args ((forall @t36 @t158))) % 150.76/151.03 (step @p183 :rule aci_norm :args ((= (or @t157 (or @t96 @t156)) @t158))) % 150.76/151.03 (step @p184 :rule bool-and-de-morgan :args (@t95 @t31 true)) % 150.76/151.03 (step @p185 :rule refl :args (@t157)) % 150.76/151.03 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t157 (not (and @t95 @t31))))) % 150.76/151.03 (step @p187 :rule bool-and-de-morgan :args (@t34 @t95 (and @t31))) % 150.76/151.03 (step @p188 :rule trans :premises (@p187 @p186)) % 150.76/151.03 (step @p189 :rule trans :premises (@p188 @p183)) % 150.76/151.03 (step @p190 :rule cong :premises (@p189) :args (@t160)) % 150.76/151.03 (step @p191 :rule trans :premises (@p190 @p182)) % 150.76/151.03 (step @p192 :rule cong :premises (@p191) :args (@t161)) % 150.76/151.03 (step @p193 :rule exists-elim :args ((= (exists @t36 @t159) @t161))) % 150.76/151.03 (step @p194 :rule trans :premises (@p193 @p192)) % 150.76/151.03 (step @p195 :rule refl :args (@t31)) % 150.76/151.03 (step @p196 :rule refl :args (@t93)) % 150.76/151.03 (step @p197 :rule refl :args (@t32)) % 150.76/151.03 (step @p198 :rule cong :premises (@p197 @p196) :args ((= @t32 @t93))) % 150.76/151.03 (step @p199 :rule symm :premises (@p198)) % 150.76/151.03 (step @p200 :rule eq_resolve :premises (@p197 @p199)) % 150.76/151.03 (step @p201 :rule cong :premises (@p200) :args (@t162)) % 150.76/151.03 (step @p202 :rule nary_cong :premises (@p201 @p70) :args (@t163)) % 150.76/151.03 (step @p203 :rule cong :premises (@p202) :args ((forall @t6 @t163))) % 150.76/151.03 (step @p204 :rule bool-impl-elim :args (@t32 @t3)) % 150.76/151.03 (step @p205 :rule cong :premises (@p204) :args (@t33)) % 150.76/151.03 (step @p206 :rule trans :premises (@p205 @p203)) % 150.76/151.03 (step @p207 :rule refl :args (@t34)) % 150.76/151.03 (step @p208 :rule nary_cong :premises (@p207 @p206 @p195) :args (@t35)) % 150.76/151.03 (step @p209 :rule cong :premises (@p208) :args (@t37)) % 150.76/151.03 (step @p210 :rule trans :premises (@p209 @p194)) % 150.76/151.03 (step @p211 :rule cong :premises (@p210) :args (@t38)) % 150.76/151.03 (step @p212 :rule refl :args (@t4)) % 150.76/151.03 (step @p213 :rule cong :premises (@p212 @p211) :args (@t39)) % 150.76/151.03 (step @p214 :rule quant-unused-vars :args ((= (forall @t46 true) true))) % 150.76/151.03 (step @p215 :rule bool-or-taut2 :args (false @t41 (or @t166) false)) % 150.76/151.03 (step @p216 :rule aci_norm :args ((= (or (or @t167 @t166) @t41) (or @t167 @t166 @t41)))) % 150.76/151.03 (step @p217 :rule trans :premises (@p216 @p215)) % 150.76/151.03 (step @p218 :rule refl :args (@t41)) % 150.76/151.03 (step @p219 :rule bool-and-de-morgan :args (@t41 @t165 true)) % 150.76/151.03 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or (not @t168) @t41))) % 150.76/151.03 (step @p221 :rule trans :premises (@p220 @p217)) % 150.76/151.03 (step @p222 :rule bool-impl-elim :args (@t168 @t41)) % 150.76/151.03 (step @p223 :rule trans :premises (@p222 @p221)) % 150.76/151.03 (step @p224 :rule cong :premises (@p223) :args ((forall @t46 (=> @t168 @t41)))) % 150.76/151.03 (step @p225 :rule trans :premises (@p224 @p214)) % 150.76/151.03 (step @p226 :rule refl :args (@t41)) % 150.76/151.03 (step @p227 :rule refl :args (@t164)) % 150.76/151.03 (step @p228 :rule refl :args (@t42)) % 150.76/151.03 (step @p229 :rule cong :premises (@p228 @p227) :args ((= @t42 @t164))) % 150.76/151.03 (step @p230 :rule symm :premises (@p229)) % 150.76/151.03 (step @p231 :rule eq_resolve :premises (@p228 @p230)) % 150.76/151.03 (step @p232 :rule cong :premises (@p231) :args (@t169)) % 150.76/151.03 (step @p233 :rule nary_cong :premises (@p232 @p70) :args (@t170)) % 150.76/151.03 (step @p234 :rule cong :premises (@p233) :args ((forall @t6 @t170))) % 150.76/151.03 (step @p235 :rule bool-impl-elim :args (@t42 @t3)) % 150.76/151.03 (step @p236 :rule cong :premises (@p235) :args (@t43)) % 150.76/151.03 (step @p237 :rule trans :premises (@p236 @p234)) % 150.76/151.03 (step @p238 :rule nary_cong :premises (@p226 @p237) :args (@t44)) % 150.76/151.03 (step @p239 :rule cong :premises (@p238 @p226) :args (@t45)) % 150.76/151.03 (step @p240 :rule cong :premises (@p239) :args (@t47)) % 150.76/151.03 (step @p241 :rule trans :premises (@p240 @p225)) % 150.76/151.03 (step @p242 :rule nary_cong :premises (@p241 @p213) :args (@t48)) % 150.76/151.03 (step @p243 :rule trans :premises (@p242 @p167)) % 150.76/151.03 (step @p244 :rule cong :premises (@p243 @p166) :args (@t49)) % 150.76/151.03 (step @p245 :rule cong :premises (@p244) :args (@t51)) % 150.76/151.03 (step @p246 :rule trans :premises (@p245 @p165)) % 150.76/151.03 (step @p247 :rule cong :premises (@p246 @p135) :args (@t52)) % 150.76/151.03 (step @p248 :rule cong :premises (@p247) :args (@t54)) % 150.76/151.03 (step @p249 :rule trans :premises (@p248 @p21)) % 150.76/151.03 (step @p250 :rule cong :premises (@p249) :args (@t55)) % 150.76/151.03 (step @p251 :rule trans :premises (@p250 @p9 @p8 @p7)) % 150.76/151.03 (step @p252 :rule eq_resolve :premises (@p1 @p251)) % 150.76/151.03 (step @p253 :rule skolemize :premises (@p252)) % 150.76/151.03 (step @p254 :rule bool-double-not-elim :args (@t174)) % 150.76/151.03 (step @p255 :rule refl :args (@t183)) % 150.76/151.03 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t183 (not @t182)))) % 150.76/151.03 (step @p257 :rule cnf_or_neg :args (@t183 0)) % 150.76/151.03 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 150.76/151.03 (step @p259 :rule reordering :premises (@p258) :args ((or @t174 @t183))) % 150.76/151.03 (step @p260 :rule chain_m_resolution :premises (@p259 @p253) :args (@t174 @t184 @t185)) % 150.76/151.03 (step @p261 :rule instantiate :premises (@p260) :args ((@list @t176))) % 150.76/151.03 (step @p262 :rule cnf_or_neg :args (@t183 1)) % 150.76/151.03 (step @p263 :rule chain_m_resolution :premises (@p262 @p253) :args ((not @t181) @t184 @t185)) % 150.76/151.03 (step @p264 :rule cnf_equiv_neg2 :args (@t181)) % 150.76/151.03 (step @p265 :rule refl :args (@t192)) % 150.76/151.03 (step @p266 :rule bool-double-not-elim :args (@t179)) % 150.76/151.03 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or (not @t193) @t192))) % 150.76/151.03 (assume-push @p480 @t193) % 150.76/151.03 (step @p269 :rule skolemize :premises (@p480)) % 150.76/151.03 (step-pop @p481 :rule scope :premises (@p269)) % 150.76/151.03 (step @p270 :rule process_scope :premises (@p481) :args (@t192)) % 150.76/151.03 (step @p272 :rule implies_elim :premises (@p270)) % 150.76/151.03 (step @p273 :rule eq_resolve :premises (@p272 @p267)) % 150.76/151.03 (step @p274 :rule bool-double-not-elim :args (@t189)) % 150.76/151.03 (step @p275 :rule refl :args (@t191)) % 150.76/151.03 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t191 (not @t190)))) % 150.76/151.03 (step @p277 :rule cnf_or_neg :args (@t191 0)) % 150.76/151.03 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 150.76/151.03 (step @p279 :rule reordering :premises (@p278) :args ((or @t189 @t191))) % 150.76/151.03 (step @p280 :rule bool-double-not-elim :args (@t187)) % 150.76/151.03 (step @p281 :rule nary_cong :premises (@p275 @p280) :args ((or @t191 (not @t188)))) % 150.76/151.03 (step @p282 :rule cnf_or_neg :args (@t191 1)) % 150.76/151.03 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 150.76/151.03 (step @p284 :rule reordering :premises (@p283) :args ((or @t187 @t191))) % 150.76/151.03 (step @p285 :rule cnf_or_pos :args (@t195)) % 150.76/151.03 (step @p286 :rule reordering :premises (@p285) :args ((or @t194 @t190 (not @t195)))) % 150.76/151.03 (step @p287 :rule aci_norm :args ((= (or false @t194 false @t190) @t195))) % 150.76/151.03 (step @p288 :rule refl :args (@t190)) % 150.76/151.03 (step @p289 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 150.76/151.03 (step @p290 :rule bool-or-taut2 :args (false @t177 false false)) % 150.76/151.03 (step @p291 :rule cong :premises (@p290) :args (@t196)) % 150.76/151.03 (step @p292 :rule trans :premises (@p291 @p289)) % 150.76/151.03 (step @p293 :rule cong :premises (@p292) :args (@t197)) % 150.76/151.03 (step @p294 :rule trans :premises (@p293 @p138)) % 150.76/151.03 (step @p295 :rule refl :args (@t194)) % 150.76/151.03 (step @p296 :rule nary_cong :premises (@p294 @p295 @p294 @p288) :args (@t198)) % 150.76/151.03 (step @p297 :rule trans :premises (@p296 @p287)) % 150.76/151.03 (step @p298 :rule refl :args (@t187)) % 150.76/151.03 (step @p299 :rule cong :premises (@p298 @p297) :args ((=> @t187 @t198))) % 150.76/151.03 (assume-push @p482 @t187) % 150.76/151.03 (step @p301 :rule instantiate :premises (@p482) :args ((@list @t176 @t176))) % 150.76/151.03 (step-pop @p483 :rule scope :premises (@p301)) % 150.76/151.03 (step @p302 :rule process_scope :premises (@p483) :args (@t198)) % 150.76/151.03 (step @p304 :rule eq_resolve :premises (@p302 @p299)) % 150.76/151.03 (step @p305 :rule implies_elim :premises (@p304)) % 150.76/151.03 (step @p306 :rule chain_m_resolution :premises (@p305 @p286 @p284 @p279 @p273 @p264 @p263) :args (@t194 (@list true false false true true true) (@list @t195 @t187 @t189 @t191 @t179 @t181))) % 150.76/151.03 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 150.76/151.03 (step @p307 :rule trust :premises () :args ((forall (@list @t200 @t199) (or (not (forall @t202 (= (_ @t57 @t200 @t201) (_ @t57 @t199 @t201)))) (= @t200 @t199))))) % 150.76/151.03 (step @p308 :rule instantiate :premises (@p307) :args ((@list @t176 @t203))) % 150.76/151.03 (step @p309 :rule cnf_equiv_neg2 :args (@t208)) % 150.76/151.03 (step @p310 :rule cnf_equiv_neg1 :args (@t181)) % 150.76/151.03 (step @p311 :rule reordering :premises (@p310) :args ((or @t180 @t179 @t181))) % 150.76/151.03 (step @p312 :rule chain_m_resolution :premises (@p311 @p306 @p263) :args (@t179 (@list true true) (@list @t180 @t181))) % 150.76/151.03 (assume-push @p484 @t179) % 150.76/151.03 (step @p314 :rule instantiate :premises (@p484) :args (@t209)) % 150.76/151.03 (step-pop @p485 :rule scope :premises (@p314)) % 150.76/151.03 (step @p315 :rule process_scope :premises (@p485) :args (@t213)) % 150.76/151.03 (step @p317 :rule implies_elim :premises (@p315)) % 150.76/151.03 (step @p318 :rule chain_m_resolution :premises (@p317 @p312) :args (@t213 @t214 (@list @t179))) % 150.76/151.03 (step @p319 :rule cnf_or_pos :args (@t213)) % 150.76/151.03 (step @p320 :rule reordering :premises (@p319) :args ((or @t212 @t211 (not @t213)))) % 150.76/151.03 (step @p321 :rule eq-symm :args (@t221 @t222)) % 150.76/151.03 (step @p322 :rule cong :premises (@p321) :args (@t223)) % 150.76/151.03 ; trust TRUST PREPROCESS_HO_ELIM % 150.76/151.03 (step @p323 :rule trust :premises () :args ((= @t226 @t223))) % 150.76/151.03 (step @p324 :rule trans :premises (@p323 @p322)) % 150.76/151.03 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 150.76/151.03 (step @p325 :rule trust :premises () :args (@t226)) % 150.76/151.03 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 150.76/151.03 (step @p327 :rule instantiate :premises (@p326) :args ((@list @t172 @t176 @t205))) % 150.76/151.03 (step @p328 :rule bool-double-not-elim :args (@t227)) % 150.76/151.03 (step @p329 :rule refl :args (@t206)) % 150.76/151.03 (step @p330 :rule refl :args (@t230)) % 150.76/151.03 (step @p331 :rule nary_cong :premises (@p330 @p329 @p328) :args ((or @t230 @t206 @t231))) % 150.76/151.03 (step @p332 :rule cnf_equiv_pos2 :args (@t229)) % 150.76/151.03 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 150.76/151.03 (step @p334 :rule reordering :premises (@p333) :args ((or @t206 @t227 @t230))) % 150.76/151.03 (step @p335 :rule refl :args (@t245)) % 150.76/151.03 (step @p336 :rule bool-double-not-elim :args (@t210)) % 150.76/151.03 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or (not @t211) @t245))) % 150.76/151.03 (assume-push @p486 @t211) % 150.76/151.03 (step @p339 :rule skolemize :premises (@p486)) % 150.76/151.03 (step-pop @p487 :rule scope :premises (@p339)) % 150.76/151.03 (step @p340 :rule process_scope :premises (@p487) :args (@t245)) % 150.76/151.03 (step @p342 :rule implies_elim :premises (@p340)) % 150.76/151.03 (step @p343 :rule eq_resolve :premises (@p342 @p337)) % 150.76/151.03 (assume-push @p488 @t227) % 150.76/151.03 (step @p345 :rule instantiate :premises (@p488) :args ((@list @t232))) % 150.76/151.03 (step-pop @p489 :rule scope :premises (@p345)) % 150.76/151.03 (step @p346 :rule process_scope :premises (@p489) :args (@t248)) % 150.76/151.03 (step @p348 :rule implies_elim :premises (@p346)) % 150.76/151.03 (step @p349 :rule bool-double-not-elim :args (@t242)) % 150.76/151.03 (step @p350 :rule refl :args (@t244)) % 150.76/151.03 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t244 (not @t243)))) % 150.76/151.03 (step @p352 :rule cnf_or_neg :args (@t244 0)) % 150.76/151.03 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 150.76/151.03 (step @p354 :rule reordering :premises (@p353) :args ((or @t242 @t244))) % 150.76/151.03 (step @p355 :rule bool-double-not-elim :args (@t240)) % 150.76/151.03 (step @p356 :rule nary_cong :premises (@p350 @p355) :args ((or @t244 (not @t241)))) % 150.76/151.03 (step @p357 :rule cnf_or_neg :args (@t244 1)) % 150.76/151.03 (step @p358 :rule eq_resolve :premises (@p357 @p356)) % 150.76/151.03 (step @p359 :rule reordering :premises (@p358) :args ((or @t240 @t244))) % 150.76/151.03 (step @p360 :rule bool-double-not-elim :args (@t238)) % 150.76/151.03 (step @p361 :rule nary_cong :premises (@p350 @p360) :args ((or @t244 (not @t239)))) % 150.76/151.03 (step @p362 :rule cnf_or_neg :args (@t244 2)) % 150.76/151.03 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 150.76/151.03 (step @p364 :rule reordering :premises (@p363) :args ((or @t238 @t244))) % 150.76/151.03 (step @p365 :rule bool-double-not-elim :args (@t233)) % 150.76/151.03 (step @p366 :rule nary_cong :premises (@p350 @p365) :args ((or @t244 (not @t234)))) % 150.76/151.03 (step @p367 :rule cnf_or_neg :args (@t244 3)) % 150.76/151.03 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 150.76/151.03 (step @p369 :rule reordering :premises (@p368) :args ((or @t233 @t244))) % 150.76/151.03 (step @p370 :rule cnf_or_pos :args (@t248)) % 150.76/151.03 (step @p371 :rule reordering :premises (@p370) :args ((or @t241 @t234 @t247 (not @t248)))) % 150.76/151.03 (assume-push @p490 @t242) % 150.76/151.03 (step @p373 :rule instantiate :premises (@p490) :args (@t250)) % 150.76/151.03 (step-pop @p491 :rule scope :premises (@p373)) % 150.76/151.03 (step @p374 :rule process_scope :premises (@p491) :args (@t254)) % 150.76/151.03 (step @p376 :rule implies_elim :premises (@p374)) % 150.76/151.03 (assume-push @p492 @t238) % 150.76/151.03 (step @p378 :rule instantiate :premises (@p492) :args (@t250)) % 150.76/151.03 (step-pop @p493 :rule scope :premises (@p378)) % 150.76/151.03 (step @p379 :rule process_scope :premises (@p493) :args (@t257)) % 150.76/151.03 (step @p381 :rule implies_elim :premises (@p379)) % 150.76/151.03 (step @p382 :rule refl :args (@t259)) % 150.76/151.03 (step @p383 :rule bool-double-not-elim :args (@t246)) % 150.76/151.03 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or (not @t247) @t259))) % 150.76/151.03 (assume-push @p494 @t247) % 150.76/151.03 (step @p386 :rule skolemize :premises (@p494)) % 150.76/151.03 (step-pop @p495 :rule scope :premises (@p386)) % 150.76/151.03 (step @p387 :rule process_scope :premises (@p495) :args (@t259)) % 150.76/151.03 (step @p389 :rule implies_elim :premises (@p387)) % 150.76/151.03 (step @p390 :rule eq_resolve :premises (@p389 @p384)) % 150.76/151.03 (step @p391 :rule bool-double-not-elim :args (@t255)) % 150.76/151.03 (step @p392 :rule refl :args (@t258)) % 150.76/151.03 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t258 (not @t256)))) % 150.76/151.03 (step @p394 :rule cnf_or_neg :args (@t258 0)) % 150.76/151.03 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 150.76/151.03 (step @p396 :rule reordering :premises (@p395) :args ((or @t255 @t258))) % 150.76/151.03 (step @p397 :rule cnf_or_neg :args (@t258 1)) % 150.76/151.03 (step @p398 :rule cnf_or_pos :args (@t257)) % 150.76/151.03 (step @p399 :rule reordering :premises (@p398) :args ((or @t256 @t252 (not @t257)))) % 150.76/151.03 (step @p400 :rule cnf_or_pos :args (@t254)) % 150.76/151.03 (step @p401 :rule reordering :premises (@p400) :args ((or @t251 @t253 (not @t254)))) % 150.76/151.03 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p397 @p396 @p390 @p381 @p376 @p371 @p369 @p364 @p359 @p354 @p348 @p343 @p334 @p327 @p320 @p318 @p309) :args ((or @t208 @t212) (@list false true false true false false true false false false false false true false false true false true) (@list @t252 @t251 @t255 @t258 @t257 @t254 @t246 @t233 @t238 @t240 @t242 @t248 @t244 @t227 @t229 @t210 @t213 @t206))) % 150.76/151.03 (step @p403 :rule cnf_equiv_neg1 :args (@t208)) % 150.76/151.03 (step @p404 :rule reordering :premises (@p403) :args ((or @t207 @t206 @t208))) % 150.76/151.03 (step @p405 :rule cnf_equiv_pos1 :args (@t229)) % 150.76/151.03 (step @p406 :rule reordering :premises (@p405) :args ((or (not @t206) @t228 @t230))) % 150.76/151.03 (step @p407 :rule refl :args (@t266)) % 150.76/151.03 (step @p408 :rule nary_cong :premises (@p328 @p407) :args ((or @t231 @t266))) % 150.76/151.03 (assume-push @p496 @t228) % 150.76/151.03 (step @p410 :rule skolemize :premises (@p496)) % 150.76/151.03 (step-pop @p497 :rule scope :premises (@p410)) % 150.76/151.03 (step @p411 :rule process_scope :premises (@p497) :args (@t266)) % 150.76/151.03 (step @p413 :rule implies_elim :premises (@p411)) % 150.76/151.03 (step @p414 :rule eq_resolve :premises (@p413 @p408)) % 150.76/151.03 (step @p415 :rule bool-double-not-elim :args (@t263)) % 150.76/151.03 (step @p416 :rule refl :args (@t265)) % 150.76/151.03 (step @p417 :rule nary_cong :premises (@p416 @p415) :args ((or @t265 (not @t264)))) % 150.76/151.03 (step @p418 :rule cnf_or_neg :args (@t265 1)) % 150.76/151.03 (step @p419 :rule eq_resolve :premises (@p418 @p417)) % 150.76/151.03 (step @p420 :rule reordering :premises (@p419) :args ((or @t263 @t265))) % 150.76/151.03 (step @p421 :rule bool-double-not-elim :args (@t261)) % 150.76/151.03 (step @p422 :rule nary_cong :premises (@p416 @p421) :args ((or @t265 (not @t262)))) % 150.76/151.03 (step @p423 :rule cnf_or_neg :args (@t265 2)) % 150.76/151.03 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 150.76/151.03 (step @p425 :rule reordering :premises (@p424) :args ((or @t261 @t265))) % 150.76/151.03 (step @p426 :rule cnf_or_pos :args (@t267)) % 150.76/151.03 (step @p427 :rule reordering :premises (@p426) :args ((or @t207 @t262 (not @t267)))) % 150.76/151.03 (assume-push @p498 @t263) % 150.76/151.03 (step @p429 :rule instantiate :premises (@p498) :args (@t209)) % 150.76/151.03 (step-pop @p499 :rule scope :premises (@p429)) % 150.76/151.03 (step @p430 :rule process_scope :premises (@p499) :args (@t267)) % 150.76/151.03 (step @p432 :rule implies_elim :premises (@p430)) % 150.76/151.03 (step @p433 :rule chain_m_resolution :premises (@p432 @p427 @p425 @p420 @p414 @p406 @p327 @p404 @p402) :args (@t208 (@list true false false true true false false true) (@list @t267 @t261 @t263 @t265 @t227 @t229 @t206 @t207))) % 150.76/151.03 (step @p434 :rule refl :args (@t268)) % 150.76/151.03 (step @p435 :rule bool-double-not-elim :args (@t204)) % 150.76/151.03 (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or (not @t269) @t268))) % 150.76/151.03 (assume-push @p500 @t269) % 150.76/151.03 (step @p438 :rule skolemize :premises (@p500)) % 150.76/151.03 (step-pop @p501 :rule scope :premises (@p438)) % 150.76/151.03 (step @p439 :rule process_scope :premises (@p501) :args (@t268)) % 150.76/151.03 (step @p441 :rule implies_elim :premises (@p439)) % 150.76/151.03 (step @p442 :rule eq_resolve :premises (@p441 @p436)) % 150.76/151.03 (step @p443 :rule chain_m_resolution :premises (@p442 @p433) :args (@t204 @t214 (@list @t208))) % 150.76/151.03 (step @p444 :rule cnf_or_pos :args (@t271)) % 150.76/151.03 (step @p445 :rule reordering :premises (@p444) :args ((or @t270 @t269 (not @t271)))) % 150.76/151.03 (step @p446 :rule chain_m_resolution :premises (@p445 @p443 @p308) :args (@t270 (@list false false) (@list @t204 @t271))) % 150.76/151.03 (step @p447 :rule refl :args (@t272)) % 150.76/151.03 (step @p448 :rule refl :args (@t274)) % 150.76/151.03 (step @p449 :rule bool-double-not-elim :args (@t180)) % 150.76/151.03 (step @p450 :rule nary_cong :premises (@p449 @p448 @p447) :args ((or (not @t194) @t274 @t272))) % 150.76/151.03 (assume-push @p502 @t194) % 150.76/151.03 (assume-push @p503 @t270) % 150.76/151.03 (assume-push @p504 @t273) % 150.76/151.03 (step @p454 :rule evaluate :args ((= true false))) % 150.76/151.03 (step @p455 :rule false_intro :premises (@p502)) % 150.76/151.03 (step @p456 :rule symm :premises (@p503)) % 150.76/151.03 (step @p457 :rule refl :args (@t172)) % 150.76/151.03 (step @p458 :rule cong :premises (@p457 @p456) :args (@t273)) % 150.76/151.03 (step @p459 :rule true_intro :premises (@p261)) % 150.76/151.03 (step @p460 :rule symm :premises (@p459)) % 150.76/151.03 (step @p461 :rule trans :premises (@p460 @p458 @p455)) % 150.76/151.03 (step @p462 false :rule eq_resolve :premises (@p461 @p454)) % 150.76/151.03 (step-pop @p505 :rule scope :premises (@p462)) % 150.76/151.03 (step-pop @p506 :rule scope :premises (@p505)) % 150.76/151.03 (step-pop @p507 :rule scope :premises (@p506)) % 150.76/151.03 (step @p463 :rule process_scope :premises (@p507) :args (false)) % 150.76/151.03 (assume-push @p508 @t194) % 150.76/151.03 (assume-push @p509 @t273) % 150.76/151.03 (assume-push @p510 @t270) % 150.76/151.03 (step @p470 :rule and_intro :premises (@p508 @p510 @p261)) % 150.76/151.03 (step-pop @p511 :rule scope :premises (@p470)) % 150.76/151.03 (step-pop @p512 :rule scope :premises (@p511)) % 150.76/151.03 (step-pop @p513 :rule scope :premises (@p512)) % 150.76/151.03 (step @p471 :rule process_scope :premises (@p513) :args (@t275)) % 150.76/151.03 (step @p475 :rule implies_elim :premises (@p471)) % 150.76/151.03 (step @p476 :rule resolution :premises (@p475 @p463) :args (true @t275)) % 150.76/151.03 (step @p477 :rule not_and :premises (@p476)) % 150.76/151.03 (step @p478 :rule eq_resolve :premises (@p477 @p450)) % 150.76/151.03 (step @p479 false :rule chain_m_resolution :premises (@p478 @p446 @p306 @p261) :args (false (@list false true false) (@list @t270 @t180 @t273))) % 150.76/151.03 ) % 150.76/151.03 % SZS output end Proof % 150.76/151.03 % cvc5 exiting %------------------------------------------------------------------------------