%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU875^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:53:27 AM UTC 2026 % Result : Theorem 150.55s 151.00s % Output : Proof 150.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU875^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:55:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 150.55/151.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.55/151.00 --- 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... % 150.55/151.00 --- 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... % 150.55/151.00 --- Run --ho-elim --full-saturate-quant at 18s... % 150.55/151.00 % SZS status Theorem % 150.55/151.00 % SZS output start Proof % 150.55/151.00 ( % 150.55/151.00 (declare-sort tptp.a 0) % 150.55/151.00 (declare-const tptp.cA (-> (-> tptp.a Bool) Bool)) % 150.55/151.00 (declare-const tptp.t tptp.a) % 150.55/151.00 (define @t1 () (@var "Xy" (-> tptp.a Bool))) % 150.55/151.00 (define @t2 () (_ @t1 tptp.t)) % 150.55/151.00 (define @t3 () (_ tptp.cA @t1)) % 150.55/151.00 (define @t4 () (and @t3 @t2)) % 150.55/151.00 (define @t5 () (@var "Xx0" tptp.a)) % 150.55/151.00 (define @t6 () (_ @t1 @t5)) % 150.55/151.00 (define @t7 () (@var "Xe" (-> tptp.a Bool))) % 150.55/151.00 (define @t8 () (_ @t7 @t5)) % 150.55/151.00 (define @t9 () (@list @t5)) % 150.55/151.00 (define @t10 () (forall @t9 (=> @t8 @t6))) % 150.55/151.00 (define @t11 () (and @t3 @t10)) % 150.55/151.00 (define @t12 () (=> @t11 @t4)) % 150.55/151.00 (define @t13 () (@list @t1)) % 150.55/151.00 (define @t14 () (forall @t13 @t12)) % 150.55/151.00 (define @t15 () (@var "Xx" (-> tptp.a Bool))) % 150.55/151.00 (define @t16 () (_ @t15 @t5)) % 150.55/151.00 (define @t17 () (forall @t9 (=> @t8 @t16))) % 150.55/151.00 (define @t18 () (@var "X" (-> (-> tptp.a Bool) Bool))) % 150.55/151.00 (define @t19 () (_ @t18 @t7)) % 150.55/151.00 (define @t20 () (@var "Xz" tptp.a)) % 150.55/151.00 (define @t21 () (@var "Xt0" tptp.a)) % 150.55/151.00 (define @t22 () (= @t21 @t20)) % 150.55/151.00 (define @t23 () (@var "Xx0" (-> tptp.a Bool))) % 150.55/151.00 (define @t24 () (_ @t23 @t20)) % 150.55/151.00 (define @t25 () (or @t24 @t22)) % 150.55/151.00 (define @t26 () (@list @t20)) % 150.55/151.00 (define @t27 () (lambda @t26 @t25)) % 150.55/151.00 (define @t28 () (_ @t18 @t27)) % 150.55/151.00 (define @t29 () (_ @t7 @t21)) % 150.55/151.00 (define @t30 () (@list @t21)) % 150.55/151.00 (define @t31 () (forall @t30 (=> @t29 @t28))) % 150.55/151.00 (define @t32 () (_ @t18 @t23)) % 150.55/151.00 (define @t33 () (=> @t32 @t31)) % 150.55/151.00 (define @t34 () (@list @t23)) % 150.55/151.00 (define @t35 () (forall @t34 @t33)) % 150.55/151.00 (define @t36 () (@var "Xy" tptp.a)) % 150.55/151.00 (define @t37 () (lambda (@list @t36) false)) % 150.55/151.00 (define @t38 () (and (_ @t18 @t37) @t35)) % 150.55/151.00 (define @t39 () (=> @t38 @t19)) % 150.55/151.00 (define @t40 () (@list @t18)) % 150.55/151.00 (define @t41 () (forall @t40 @t39)) % 150.55/151.00 (define @t42 () (and @t41 @t17 @t14)) % 150.55/151.00 (define @t43 () (@list @t7)) % 150.55/151.00 (define @t44 () (exists @t43 @t42)) % 150.55/151.00 (define @t45 () (_ @t15 tptp.t)) % 150.55/151.00 (define @t46 () (_ tptp.cA @t15)) % 150.55/151.00 (define @t47 () (and @t46 @t45)) % 150.55/151.00 (define @t48 () (=> @t47 @t44)) % 150.55/151.00 (define @t49 () (@list @t15)) % 150.55/151.00 (define @t50 () (forall @t49 @t48)) % 150.55/151.00 (define @t51 () (forall @t49 (=> @t47 @t46))) % 150.55/151.00 (define @t52 () (and @t51 @t50)) % 150.55/151.00 (define @t53 () (not @t52)) % 150.55/151.00 (define @t54 () (@var "BOUND_VARIABLE_7645" (@ho-elim-sort (-> tptp.a Bool)))) % 150.55/151.00 (define @t55 () (@const 0 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 150.55/151.00 (define @t56 () (@const 1 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 150.55/151.00 (define @t57 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)) (@ho-elim-sort (-> tptp.a Bool)) Bool))) % 150.55/151.00 (define @t58 () (_ @t57 @t56 @t54)) % 150.55/151.00 (define @t59 () (and @t58 (_ @t55 @t54 tptp.t))) % 150.55/151.00 (define @t60 () (_ @t55 @t54 @t5)) % 150.55/151.00 (define @t61 () (@var "BOUND_VARIABLE_7657" (@ho-elim-sort (-> tptp.a Bool)))) % 150.55/151.00 (define @t62 () (not (_ @t55 @t61 @t5))) % 150.55/151.00 (define @t63 () (not @t58)) % 150.55/151.00 (define @t64 () (@list @t54)) % 150.55/151.00 (define @t65 () (not (forall @t64 (or @t63 (not (forall @t9 (or @t62 @t60))) @t59)))) % 150.55/151.00 (define @t66 () (@var "BOUND_VARIABLE_7668" (@ho-elim-sort (-> tptp.a Bool)))) % 150.55/151.00 (define @t67 () (@var "BOUND_VARIABLE_7673" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 150.55/151.00 (define @t68 () (@var "BOUND_VARIABLE_7501" tptp.a)) % 150.55/151.00 (define @t69 () (@var "BOUND_VARIABLE_7676" (@ho-elim-sort (-> tptp.a Bool)))) % 150.55/151.00 (define @t70 () (@const 3 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a tptp.a Bool)))) % 150.55/151.00 (define @t71 () (@const 4 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a tptp.a Bool)) (@ho-elim-sort (-> tptp.a Bool)) (@ho-elim-sort (-> tptp.a tptp.a Bool))))) % 150.55/151.00 (define @t72 () (@const 5 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 150.55/151.00 (define @t73 () (_ @t72 (_ @t71 @t70 @t69) @t68)) % 150.55/151.00 (define @t74 () (_ @t57 @t67 @t73)) % 150.55/151.00 (define @t75 () (not (_ @t57 @t67 @t69))) % 150.55/151.00 (define @t76 () (@list @t69 @t68)) % 150.55/151.00 (define @t77 () (@const 6 (@ho-elim-sort (-> tptp.a Bool)))) % 150.55/151.00 (define @t78 () (not (_ @t57 @t67 @t77))) % 150.55/151.00 (define @t79 () (@list @t67)) % 150.55/151.00 (define @t80 () (not (forall @t79 (or @t78 (not (forall @t76 (or @t75 (not (_ @t55 @t61 @t68)) @t74))) (_ @t57 @t67 @t61))))) % 150.55/151.00 (define @t81 () (@list @t61)) % 150.55/151.00 (define @t82 () (forall (@list @t66) (or (not (_ @t57 @t56 @t66)) (not (_ @t55 @t66 tptp.t)) (not (forall @t81 (or @t80 (not (forall @t9 (or @t62 (_ @t55 @t66 @t5)))) @t65)))))) % 150.55/151.00 (define @t83 () (_ @t1 tptp.t)) % 150.55/151.00 (define @t84 () (tptp.cA @t1)) % 150.55/151.00 (define @t85 () (_ @t1 @t5)) % 150.55/151.00 (define @t86 () (_ @t7 @t5)) % 150.55/151.00 (define @t87 () (not @t86)) % 150.55/151.00 (define @t88 () (forall @t9 (or @t87 @t85))) % 150.55/151.00 (define @t89 () (not @t88)) % 150.55/151.00 (define @t90 () (forall @t13 (or (not @t84) @t89 (and @t84 @t83)))) % 150.55/151.00 (define @t91 () (not @t90)) % 150.55/151.00 (define @t92 () (_ @t15 @t5)) % 150.55/151.00 (define @t93 () (forall @t9 (or @t87 @t92))) % 150.55/151.00 (define @t94 () (not @t93)) % 150.55/151.00 (define @t95 () (_ @t18 @t7)) % 150.55/151.00 (define @t96 () (@const 7 (-> (-> tptp.a Bool) tptp.a tptp.a Bool))) % 150.55/151.00 (define @t97 () (not (_ @t7 @t68))) % 150.55/151.00 (define @t98 () (_ @t18 @t23)) % 150.55/151.00 (define @t99 () (not @t98)) % 150.55/151.00 (define @t100 () (@list @t23 @t68)) % 150.55/151.00 (define @t101 () (@const 8 (-> tptp.a Bool))) % 150.55/151.00 (define @t102 () (_ @t15 tptp.t)) % 150.55/151.00 (define @t103 () (not @t102)) % 150.55/151.00 (define @t104 () (tptp.cA @t15)) % 150.55/151.00 (define @t105 () (not @t104)) % 150.55/151.00 (define @t106 () (not (forall @t49 (or @t105 @t103 (not (forall @t43 (or (not (forall @t40 (or (not (_ @t18 @t101)) (not (forall @t100 (or @t99 @t97 (_ @t18 (_ (_ @t96 @t23) @t68))))) @t95))) @t94 @t91))))))) % 150.55/151.00 (define @t107 () (_ @t23 @t20)) % 150.55/151.00 (define @t108 () (forall @t100 (or @t99 @t97 (_ @t18 (lambda @t26 (or @t107 (= @t20 @t68))))))) % 150.55/151.00 (define @t109 () (not @t108)) % 150.55/151.00 (define @t110 () (@var "BOUND_VARIABLE_7601" tptp.a)) % 150.55/151.00 (define @t111 () (lambda (@list @t110) false)) % 150.55/151.00 (define @t112 () (_ @t18 @t111)) % 150.55/151.00 (define @t113 () (forall @t40 (or (not @t112) @t109 @t95))) % 150.55/151.00 (define @t114 () (not @t113)) % 150.55/151.00 (define @t115 () (or @t114 @t94 @t91)) % 150.55/151.00 (define @t116 () (not (forall @t43 @t115))) % 150.55/151.00 (define @t117 () (forall @t49 (or @t105 @t103 @t116))) % 150.55/151.00 (define @t118 () (not @t45)) % 150.55/151.00 (define @t119 () (not @t46)) % 150.55/151.00 (define @t120 () (or @t119 @t118 @t116)) % 150.55/151.00 (define @t121 () (or @t119 @t118)) % 150.55/151.00 (define @t122 () (not @t47)) % 150.55/151.00 (define @t123 () (and @t113 @t93 @t90)) % 150.55/151.00 (define @t124 () (forall @t43 (not @t123))) % 150.55/151.00 (define @t125 () (not @t124)) % 150.55/151.00 (define @t126 () (not @t3)) % 150.55/151.00 (define @t127 () (or @t126 @t89 @t4)) % 150.55/151.00 (define @t128 () (and @t3 @t88)) % 150.55/151.00 (define @t129 () (not @t8)) % 150.55/151.00 (define @t130 () (or @t129 @t6)) % 150.55/151.00 (define @t131 () (or @t129 @t16)) % 150.55/151.00 (define @t132 () (_ @t18 @t111)) % 150.55/151.00 (define @t133 () (not @t132)) % 150.55/151.00 (define @t134 () (or @t133 @t109 @t19)) % 150.55/151.00 (define @t135 () (and @t132 @t108)) % 150.55/151.00 (define @t136 () (or @t107 (= @t68 @t20))) % 150.55/151.00 (define @t137 () (lambda @t26 @t136)) % 150.55/151.00 (define @t138 () (_ @t18 @t137)) % 150.55/151.00 (define @t139 () (or @t99 @t97 @t138)) % 150.55/151.00 (define @t140 () (or @t97 @t138)) % 150.55/151.00 (define @t141 () (or @t99 @t140)) % 150.55/151.00 (define @t142 () (forall @t100 @t141)) % 150.55/151.00 (define @t143 () (@list @t68)) % 150.55/151.00 (define @t144 () (forall @t143 @t141)) % 150.55/151.00 (define @t145 () (forall @t143 @t140)) % 150.55/151.00 (define @t146 () (or @t99 @t145)) % 150.55/151.00 (define @t147 () (or @t107 @t22)) % 150.55/151.00 (define @t148 () (lambda @t26 @t147)) % 150.55/151.00 (define @t149 () (_ @t18 @t148)) % 150.55/151.00 (define @t150 () (_ @t7 @t21)) % 150.55/151.00 (define @t151 () (forall @t30 (or (not @t150) @t149))) % 150.55/151.00 (define @t152 () (not @t32)) % 150.55/151.00 (define @t153 () (or @t152 @t151)) % 150.55/151.00 (define @t154 () (not @t29)) % 150.55/151.00 (define @t155 () (or @t154 @t28)) % 150.55/151.00 (define @t156 () (@quantifiers_skolemize @t82 0)) % 150.55/151.00 (define @t157 () (_ @t55 @t156 @t5)) % 150.55/151.00 (define @t158 () (forall @t81 (or @t80 (not (forall @t9 (or @t62 @t157))) @t65))) % 150.55/151.00 (define @t159 () (not @t158)) % 150.55/151.00 (define @t160 () (_ @t55 @t156 tptp.t)) % 150.55/151.00 (define @t161 () (not @t160)) % 150.55/151.00 (define @t162 () (or (not (_ @t57 @t56 @t156)) @t161 @t159)) % 150.55/151.00 (define @t163 () (@list true)) % 150.55/151.00 (define @t164 () (@list @t162)) % 150.55/151.00 (define @t165 () (_ @t72 (_ @t71 @t70 @t77) tptp.t)) % 150.55/151.00 (define @t166 () (not (_ @t55 @t165 @t5))) % 150.55/151.00 (define @t167 () (forall @t9 (or @t166 @t157))) % 150.55/151.00 (define @t168 () (@quantifiers_skolemize @t167 0)) % 150.55/151.00 (define @t169 () (_ @t55 @t165 @t168)) % 150.55/151.00 (define @t170 () (_ @t55 @t156 @t168)) % 150.55/151.00 (define @t171 () (not @t169)) % 150.55/151.00 (define @t172 () (or @t171 @t170)) % 150.55/151.00 (define @t173 () (@var "BOUND_VARIABLE_7622" tptp.a)) % 150.55/151.00 (define @t174 () (@var "BOUND_VARIABLE_7621" tptp.a)) % 150.55/151.00 (define @t175 () (@var "BOUND_VARIABLE_7720" (@ho-elim-sort (-> tptp.a Bool)))) % 150.55/151.00 (define @t176 () (_ @t55 (_ @t72 (_ @t71 @t70 @t175) @t174) @t173)) % 150.55/151.00 (define @t177 () (= @t174 @t173)) % 150.55/151.00 (define @t178 () (or (_ @t55 @t175 @t173) @t177)) % 150.55/151.00 (define @t179 () (@list @t175 @t174 @t173)) % 150.55/151.00 (define @t180 () (forall @t179 (= @t176 @t178))) % 150.55/151.00 (define @t181 () (@var "BOUND_VARIABLE_7620" (-> tptp.a Bool))) % 150.55/151.00 (define @t182 () (forall (@list @t181 @t174 @t173) (= (_ @t96 @t181 @t174 @t173) (or (_ @t181 @t173) @t177)))) % 150.55/151.00 (define @t183 () (= tptp.t @t168)) % 150.55/151.00 (define @t184 () (_ @t55 @t77 @t168)) % 150.55/151.00 (define @t185 () (or @t184 @t183)) % 150.55/151.00 (define @t186 () (forall @t179 (= @t178 @t176))) % 150.55/151.00 (define @t187 () (= @t185 @t169)) % 150.55/151.00 (define @t188 () (= @t169 @t185)) % 150.55/151.00 (define @t189 () (@list false)) % 150.55/151.00 (define @t190 () (@list @t186)) % 150.55/151.00 (define @t191 () (@var "BOUND_VARIABLE_7630" tptp.a)) % 150.55/151.00 (define @t192 () (@list @t191)) % 150.55/151.00 (define @t193 () (forall @t192 (not (_ @t101 @t191)))) % 150.55/151.00 (define @t194 () (forall @t9 (or (not (_ @t55 @t77 @t5)) @t157))) % 150.55/151.00 (define @t195 () (@quantifiers_skolemize @t194 0)) % 150.55/151.00 (define @t196 () (_ @t55 @t77 @t195)) % 150.55/151.00 (define @t197 () (not @t196)) % 150.55/151.00 (define @t198 () (or @t197 (_ @t55 @t156 @t195))) % 150.55/151.00 (define @t199 () (not @t198)) % 150.55/151.00 (define @t200 () (not @t194)) % 150.55/151.00 (define @t201 () (not @t184)) % 150.55/151.00 (define @t202 () (or @t201 @t170)) % 150.55/151.00 (define @t203 () (not @t183)) % 150.55/151.00 (define @t204 () (not @t170)) % 150.55/151.00 (define @t205 () (and @t160 @t183 @t204)) % 150.55/151.00 (define @t206 () (not @t172)) % 150.55/151.00 (define @t207 () (not @t167)) % 150.55/151.00 (define @t208 () (not (_ @t55 @t165 @t68))) % 150.55/151.00 (define @t209 () (forall @t79 (or @t78 (not (forall @t76 (or @t75 @t208 @t74))) (_ @t57 @t67 @t165)))) % 150.55/151.00 (define @t210 () (@quantifiers_skolemize @t209 0)) % 150.55/151.00 (define @t211 () (_ @t57 @t210 @t77)) % 150.55/151.00 (define @t212 () (_ @t57 @t210 @t165)) % 150.55/151.00 (define @t213 () (forall @t76 (or (not (_ @t57 @t210 @t69)) @t208 (_ @t57 @t210 @t73)))) % 150.55/151.00 (define @t214 () (not @t213)) % 150.55/151.00 (define @t215 () (not @t211)) % 150.55/151.00 (define @t216 () (or @t215 @t214 @t212)) % 150.55/151.00 (define @t217 () (_ @t55 @t165 tptp.t)) % 150.55/151.00 (define @t218 () (_ @t55 @t77 tptp.t)) % 150.55/151.00 (define @t219 () (or @t218 (= tptp.t tptp.t))) % 150.55/151.00 (define @t220 () (= @t219 @t217)) % 150.55/151.00 (define @t221 () (not @t217)) % 150.55/151.00 (define @t222 () (or @t215 @t221 @t212)) % 150.55/151.00 (define @t223 () (not @t216)) % 150.55/151.00 (define @t224 () (not @t209)) % 150.55/151.00 (define @t225 () (forall @t64 (or @t63 (not (forall @t9 (or @t166 @t60))) @t59))) % 150.55/151.00 (define @t226 () (not @t225)) % 150.55/151.00 (define @t227 () (or @t224 @t207 @t226)) % 150.55/151.00 (define @t228 () (@quantifiers_skolemize @t225 0)) % 150.55/151.00 (define @t229 () (_ @t55 @t228 tptp.t)) % 150.55/151.00 (define @t230 () (_ @t57 @t56 @t228)) % 150.55/151.00 (define @t231 () (and @t230 @t229)) % 150.55/151.00 (define @t232 () (forall @t9 (or @t166 (_ @t55 @t228 @t5)))) % 150.55/151.00 (define @t233 () (not @t232)) % 150.55/151.00 (define @t234 () (not @t230)) % 150.55/151.00 (define @t235 () (or @t234 @t233 @t231)) % 150.55/151.00 (define @t236 () (not @t235)) % 150.55/151.00 (define @t237 () (@list @t235)) % 150.55/151.00 (define @t238 () (not @t229)) % 150.55/151.00 (define @t239 () (@list false true)) % 150.55/151.00 (define @t240 () (or @t221 @t229)) % 150.55/151.00 (define @t241 () (not @t240)) % 150.55/151.00 (assume @p1 @t53) % 150.55/151.00 (assume @p2 true) % 150.55/151.00 ; WARNING: add trust step for TRUST % 150.55/151.00 ; trust TRUST PREPROCESS_HO_ELIM % 150.55/151.00 (step @p3 :rule trust :premises () :args ((= @t106 (not @t82)))) % 150.55/151.00 ; trust TRUST PREPROCESS_HO_ELIM % 150.55/151.00 (step @p4 :rule trust :premises () :args ((= (not @t117) @t106))) % 150.55/151.00 (step @p5 :rule aci_norm :args ((= (and true @t117) @t117))) % 150.55/151.00 (step @p6 :rule refl :args (@t116)) % 150.55/151.00 (step @p7 :rule refl :args (@t102)) % 150.55/151.00 (step @p8 :rule refl :args (@t45)) % 150.55/151.00 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t45 @t102))) % 150.55/151.00 (step @p10 :rule symm :premises (@p9)) % 150.55/151.00 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 150.55/151.00 (step @p12 :rule cong :premises (@p11) :args (@t118)) % 150.55/151.00 (step @p13 :rule refl :args (@t104)) % 150.55/151.00 (step @p14 :rule refl :args (@t46)) % 150.55/151.00 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t46 @t104))) % 150.55/151.00 (step @p16 :rule symm :premises (@p15)) % 150.55/151.00 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 150.55/151.00 (step @p18 :rule cong :premises (@p17) :args (@t119)) % 150.55/151.00 (step @p19 :rule nary_cong :premises (@p18 @p12 @p6) :args (@t120)) % 150.55/151.00 (step @p20 :rule cong :premises (@p19) :args ((forall @t49 @t120))) % 150.55/151.00 (step @p21 :rule aci_norm :args ((= (or @t121 @t116) @t120))) % 150.55/151.00 (step @p22 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 150.55/151.00 (step @p23 :rule nary_cong :premises (@p22 @p6) :args ((or @t122 @t116))) % 150.55/151.00 (step @p24 :rule trans :premises (@p23 @p21)) % 150.55/151.00 (step @p25 :rule bool-impl-elim :args (@t47 @t116)) % 150.55/151.00 (step @p26 :rule trans :premises (@p25 @p24)) % 150.55/151.00 (step @p27 :rule cong :premises (@p26) :args ((forall @t49 (=> @t47 @t116)))) % 150.55/151.00 (step @p28 :rule trans :premises (@p27 @p20)) % 150.55/151.00 (step @p29 :rule aci_norm :args ((= (or @t114 (or @t94 @t91)) @t115))) % 150.55/151.00 (step @p30 :rule bool-and-de-morgan :args (@t93 @t90 true)) % 150.55/151.00 (step @p31 :rule refl :args (@t114)) % 150.55/151.00 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t114 (not (and @t93 @t90))))) % 150.55/151.00 (step @p33 :rule bool-and-de-morgan :args (@t113 @t93 (and @t90))) % 150.55/151.00 (step @p34 :rule trans :premises (@p33 @p32)) % 150.55/151.00 (step @p35 :rule trans :premises (@p34 @p29)) % 150.55/151.00 (step @p36 :rule cong :premises (@p35) :args (@t124)) % 150.55/151.00 (step @p37 :rule cong :premises (@p36) :args (@t125)) % 150.55/151.00 (step @p38 :rule exists-elim :args ((= (exists @t43 @t123) @t125))) % 150.55/151.00 (step @p39 :rule trans :premises (@p38 @p37)) % 150.55/151.00 (step @p40 :rule refl :args (@t83)) % 150.55/151.00 (step @p41 :rule refl :args (@t2)) % 150.55/151.00 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t2 @t83))) % 150.55/151.00 (step @p43 :rule symm :premises (@p42)) % 150.55/151.00 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 150.55/151.00 (step @p45 :rule refl :args (@t84)) % 150.55/151.00 (step @p46 :rule refl :args (@t3)) % 150.55/151.00 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t3 @t84))) % 150.55/151.00 (step @p48 :rule symm :premises (@p47)) % 150.55/151.00 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 150.55/151.00 (step @p50 :rule nary_cong :premises (@p49 @p44) :args (@t4)) % 150.55/151.00 (step @p51 :rule refl :args (@t89)) % 150.55/151.00 (step @p52 :rule cong :premises (@p49) :args (@t126)) % 150.55/151.00 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args (@t127)) % 150.55/151.00 (step @p54 :rule cong :premises (@p53) :args ((forall @t13 @t127))) % 150.55/151.00 (step @p55 :rule aci_norm :args ((= (or (or @t126 @t89) @t4) @t127))) % 150.55/151.00 (step @p56 :rule refl :args (@t4)) % 150.55/151.00 (step @p57 :rule bool-and-de-morgan :args (@t3 @t88 true)) % 150.55/151.00 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t128) @t4))) % 150.55/151.00 (step @p59 :rule trans :premises (@p58 @p55)) % 150.55/151.00 (step @p60 :rule bool-impl-elim :args (@t128 @t4)) % 150.55/151.00 (step @p61 :rule trans :premises (@p60 @p59)) % 150.55/151.00 (step @p62 :rule cong :premises (@p61) :args ((forall @t13 (=> @t128 @t4)))) % 150.55/151.00 (step @p63 :rule trans :premises (@p62 @p54)) % 150.55/151.00 (step @p64 :rule refl :args (@t4)) % 150.55/151.00 (step @p65 :rule refl :args (@t85)) % 150.55/151.00 (step @p66 :rule refl :args (@t6)) % 150.55/151.00 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t6 @t85))) % 150.55/151.00 (step @p68 :rule symm :premises (@p67)) % 150.55/151.00 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 150.55/151.00 (step @p70 :rule refl :args (@t86)) % 150.55/151.00 (step @p71 :rule refl :args (@t8)) % 150.55/151.00 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t8 @t86))) % 150.55/151.00 (step @p73 :rule symm :premises (@p72)) % 150.55/151.00 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 150.55/151.00 (step @p75 :rule cong :premises (@p74) :args (@t129)) % 150.55/151.00 (step @p76 :rule nary_cong :premises (@p75 @p69) :args (@t130)) % 150.55/151.00 (step @p77 :rule cong :premises (@p76) :args ((forall @t9 @t130))) % 150.55/151.00 (step @p78 :rule bool-impl-elim :args (@t8 @t6)) % 150.55/151.00 (step @p79 :rule cong :premises (@p78) :args (@t10)) % 150.55/151.00 (step @p80 :rule trans :premises (@p79 @p77)) % 150.55/151.00 (step @p81 :rule refl :args (@t3)) % 150.55/151.00 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t11)) % 150.55/151.00 (step @p83 :rule cong :premises (@p82 @p64) :args (@t12)) % 150.55/151.00 (step @p84 :rule cong :premises (@p83) :args (@t14)) % 150.55/151.00 (step @p85 :rule trans :premises (@p84 @p63)) % 150.55/151.00 (step @p86 :rule refl :args (@t92)) % 150.55/151.00 (step @p87 :rule refl :args (@t16)) % 150.55/151.00 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t16 @t92))) % 150.55/151.00 (step @p89 :rule symm :premises (@p88)) % 150.55/151.00 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 150.55/151.00 (step @p91 :rule nary_cong :premises (@p75 @p90) :args (@t131)) % 150.55/151.00 (step @p92 :rule cong :premises (@p91) :args ((forall @t9 @t131))) % 150.55/151.00 (step @p93 :rule bool-impl-elim :args (@t8 @t16)) % 150.55/151.00 (step @p94 :rule cong :premises (@p93) :args (@t17)) % 150.55/151.00 (step @p95 :rule trans :premises (@p94 @p92)) % 150.55/151.00 (step @p96 :rule refl :args (@t95)) % 150.55/151.00 (step @p97 :rule refl :args (@t19)) % 150.55/151.00 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t19 @t95))) % 150.55/151.00 (step @p99 :rule symm :premises (@p98)) % 150.55/151.00 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 150.55/151.00 (step @p101 :rule refl :args (@t109)) % 150.55/151.00 (step @p102 :rule refl :args ((_ @t18 @t111))) % 150.55/151.00 (step @p103 :rule refl :args (@t111)) % 150.55/151.00 (step @p104 :rule cong :premises (@p103) :args (@t112)) % 150.55/151.00 (step @p105 :rule trans :premises (@p104 @p102)) % 150.55/151.00 (step @p106 :rule refl :args (@t18)) % 150.55/151.00 (step @p107 :rule ho_cong :premises (@p106 @p103)) % 150.55/151.00 (step @p108 :rule cong :premises (@p107 @p105) :args ((= @t132 @t112))) % 150.55/151.00 (step @p109 :rule symm :premises (@p108)) % 150.55/151.00 (step @p110 :rule refl :args ((_ @t18 @t111))) % 150.55/151.00 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 150.55/151.00 (step @p112 :rule cong :premises (@p111) :args (@t133)) % 150.55/151.00 (step @p113 :rule nary_cong :premises (@p112 @p101 @p100) :args (@t134)) % 150.55/151.00 (step @p114 :rule cong :premises (@p113) :args ((forall @t40 @t134))) % 150.55/151.00 (step @p115 :rule aci_norm :args ((= (or (or @t133 @t109) @t19) @t134))) % 150.55/151.00 (step @p116 :rule bool-and-de-morgan :args (@t132 @t108 true)) % 150.55/151.00 (step @p117 :rule nary_cong :premises (@p116 @p97) :args ((or (not @t135) @t19))) % 150.55/151.00 (step @p118 :rule trans :premises (@p117 @p115)) % 150.55/151.00 (step @p119 :rule bool-impl-elim :args (@t135 @t19)) % 150.55/151.00 (step @p120 :rule trans :premises (@p119 @p118)) % 150.55/151.00 (step @p121 :rule cong :premises (@p120) :args ((forall @t40 (=> @t135 @t19)))) % 150.55/151.00 (step @p122 :rule trans :premises (@p121 @p114)) % 150.55/151.00 (step @p123 :rule refl :args (@t19)) % 150.55/151.00 (step @p124 :rule eq-symm :args (@t68 @t20)) % 150.55/151.00 (step @p125 :rule refl :args (@t107)) % 150.55/151.00 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t136)) % 150.55/151.00 (step @p127 :rule cong :premises (@p126) :args (@t137)) % 150.55/151.00 (step @p128 :rule cong :premises (@p127) :args (@t138)) % 150.55/151.00 (step @p129 :rule refl :args (@t97)) % 150.55/151.00 (step @p130 :rule refl :args (@t99)) % 150.55/151.00 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t139)) % 150.55/151.00 (step @p132 :rule aci_norm :args ((= @t141 @t139))) % 150.55/151.00 (step @p133 :rule trans :premises (@p132 @p131)) % 150.55/151.00 (step @p134 :rule cong :premises (@p133) :args (@t142)) % 150.55/151.00 (step @p135 :rule quant-merge-prenex :args ((= (forall @t34 @t144) @t142))) % 150.55/151.00 (step @p136 :rule alpha_equiv :args (@t145 (@list @t68) (@list @t21))) % 150.55/151.00 (step @p137 :rule refl :args (@t99)) % 150.55/151.00 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t146)) % 150.55/151.00 (step @p139 :rule quant-miniscope-or :args ((= @t144 @t146))) % 150.55/151.00 (step @p140 :rule trans :premises (@p139 @p138)) % 150.55/151.00 (step @p141 :rule symm :premises (@p140)) % 150.55/151.00 (step @p142 :rule cong :premises (@p141) :args ((forall @t34 (or @t99 @t151)))) % 150.55/151.00 (step @p143 :rule trans :premises (@p142 @p135)) % 150.55/151.00 (step @p144 :rule trans :premises (@p143 @p134)) % 150.55/151.00 (step @p145 :rule refl :args (@t151)) % 150.55/151.00 (step @p146 :rule refl :args (@t98)) % 150.55/151.00 (step @p147 :rule refl :args (@t32)) % 150.55/151.00 (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t32 @t98))) % 150.55/151.00 (step @p149 :rule symm :premises (@p148)) % 150.55/151.00 (step @p150 :rule eq_resolve :premises (@p147 @p149)) % 150.55/151.00 (step @p151 :rule cong :premises (@p150) :args (@t152)) % 150.55/151.00 (step @p152 :rule nary_cong :premises (@p151 @p145) :args (@t153)) % 150.55/151.00 (step @p153 :rule cong :premises (@p152) :args ((forall @t34 @t153))) % 150.55/151.00 (step @p154 :rule trans :premises (@p153 @p144)) % 150.55/151.00 (step @p155 :rule bool-impl-elim :args (@t32 @t151)) % 150.55/151.00 (step @p156 :rule cong :premises (@p155) :args ((forall @t34 (=> @t32 @t151)))) % 150.55/151.00 (step @p157 :rule trans :premises (@p156 @p154)) % 150.55/151.00 (step @p158 :rule refl :args ((_ @t18 @t27))) % 150.55/151.00 (step @p159 :rule refl :args (@t22)) % 150.55/151.00 (step @p160 :rule refl :args (@t107)) % 150.55/151.00 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t147)) % 150.55/151.00 (step @p162 :rule cong :premises (@p161) :args (@t148)) % 150.55/151.00 (step @p163 :rule cong :premises (@p162) :args (@t149)) % 150.55/151.00 (step @p164 :rule trans :premises (@p163 @p158)) % 150.55/151.00 (step @p165 :rule ho_cong :premises (@p106 @p162)) % 150.55/151.00 (step @p166 :rule cong :premises (@p165 @p164) :args ((= (_ @t18 @t148) @t149))) % 150.55/151.00 (step @p167 :rule symm :premises (@p166)) % 150.55/151.00 (step @p168 :rule refl :args (@t28)) % 150.55/151.00 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 150.55/151.00 (step @p170 :rule refl :args (@t24)) % 150.55/151.00 (step @p171 :rule cong :premises (@p170 @p160) :args ((= @t24 @t107))) % 150.55/151.00 (step @p172 :rule symm :premises (@p171)) % 150.55/151.00 (step @p173 :rule eq_resolve :premises (@p170 @p172)) % 150.55/151.00 (step @p174 :rule nary_cong :premises (@p173 @p159) :args (@t25)) % 150.55/151.00 (step @p175 :rule cong :premises (@p174) :args (@t27)) % 150.55/151.00 (step @p176 :rule ho_cong :premises (@p106 @p175)) % 150.55/151.00 (step @p177 :rule trans :premises (@p176 @p169)) % 150.55/151.00 (step @p178 :rule refl :args (@t150)) % 150.55/151.00 (step @p179 :rule refl :args (@t29)) % 150.55/151.00 (step @p180 :rule cong :premises (@p179 @p178) :args ((= @t29 @t150))) % 150.55/151.00 (step @p181 :rule symm :premises (@p180)) % 150.55/151.00 (step @p182 :rule eq_resolve :premises (@p179 @p181)) % 150.55/151.00 (step @p183 :rule cong :premises (@p182) :args (@t154)) % 150.55/151.00 (step @p184 :rule nary_cong :premises (@p183 @p177) :args (@t155)) % 150.55/151.00 (step @p185 :rule cong :premises (@p184) :args ((forall @t30 @t155))) % 150.55/151.00 (step @p186 :rule bool-impl-elim :args (@t29 @t28)) % 150.55/151.00 (step @p187 :rule cong :premises (@p186) :args (@t31)) % 150.55/151.00 (step @p188 :rule trans :premises (@p187 @p185)) % 150.55/151.00 (step @p189 :rule refl :args (@t32)) % 150.55/151.00 (step @p190 :rule cong :premises (@p189 @p188) :args (@t33)) % 150.55/151.00 (step @p191 :rule cong :premises (@p190) :args (@t35)) % 150.55/151.00 (step @p192 :rule trans :premises (@p191 @p157)) % 150.55/151.00 (step @p193 :rule symm :premises (@p103)) % 150.55/151.00 (step @p194 :rule alpha_equiv :args (@t37 (@list @t36) (@list @t110))) % 150.55/151.00 (step @p195 :rule trans :premises (@p194 @p193)) % 150.55/151.00 (step @p196 :rule refl :args (@t18)) % 150.55/151.00 (step @p197 :rule ho_cong :premises (@p196 @p195)) % 150.55/151.00 (step @p198 :rule nary_cong :premises (@p197 @p192) :args (@t38)) % 150.55/151.00 (step @p199 :rule cong :premises (@p198 @p123) :args (@t39)) % 150.55/151.00 (step @p200 :rule cong :premises (@p199) :args (@t41)) % 150.55/151.00 (step @p201 :rule trans :premises (@p200 @p122)) % 150.55/151.00 (step @p202 :rule nary_cong :premises (@p201 @p95 @p85) :args (@t42)) % 150.55/151.00 (step @p203 :rule cong :premises (@p202) :args (@t44)) % 150.55/151.00 (step @p204 :rule trans :premises (@p203 @p39)) % 150.55/151.00 (step @p205 :rule refl :args (@t47)) % 150.55/151.00 (step @p206 :rule cong :premises (@p205 @p204) :args (@t48)) % 150.55/151.00 (step @p207 :rule cong :premises (@p206) :args (@t50)) % 150.55/151.00 (step @p208 :rule trans :premises (@p207 @p28)) % 150.55/151.00 (step @p209 :rule quant-unused-vars :args ((= (forall @t49 true) true))) % 150.55/151.00 (step @p210 :rule bool-or-taut2 :args (false @t46 (or @t118) false)) % 150.55/151.00 (step @p211 :rule aci_norm :args ((= (or @t121 @t46) (or @t119 @t118 @t46)))) % 150.55/151.00 (step @p212 :rule trans :premises (@p211 @p210)) % 150.55/151.00 (step @p213 :rule nary_cong :premises (@p22 @p14) :args ((or @t122 @t46))) % 150.55/151.00 (step @p214 :rule trans :premises (@p213 @p212)) % 150.55/151.00 (step @p215 :rule bool-impl-elim :args (@t47 @t46)) % 150.55/151.00 (step @p216 :rule trans :premises (@p215 @p214)) % 150.55/151.00 (step @p217 :rule cong :premises (@p216) :args (@t51)) % 150.55/151.00 (step @p218 :rule trans :premises (@p217 @p209)) % 150.55/151.00 (step @p219 :rule nary_cong :premises (@p218 @p208) :args (@t52)) % 150.55/151.00 (step @p220 :rule trans :premises (@p219 @p5)) % 150.55/151.00 (step @p221 :rule cong :premises (@p220) :args (@t53)) % 150.55/151.00 (step @p222 :rule trans :premises (@p221 @p4 @p3)) % 150.55/151.00 (step @p223 :rule eq_resolve :premises (@p1 @p222)) % 150.55/151.00 (step @p224 :rule skolemize :premises (@p223)) % 150.55/151.00 (step @p225 :rule bool-double-not-elim :args (@t158)) % 150.55/151.00 (step @p226 :rule refl :args (@t162)) % 150.55/151.00 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or @t162 (not @t159)))) % 150.55/151.00 (step @p228 :rule cnf_or_neg :args (@t162 2)) % 150.55/151.00 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 150.55/151.00 (step @p230 :rule reordering :premises (@p229) :args ((or @t158 @t162))) % 150.55/151.00 (step @p231 :rule chain_m_resolution :premises (@p230 @p224) :args (@t158 @t163 @t164)) % 150.55/151.00 (step @p232 :rule instantiate :premises (@p231) :args ((@list @t165))) % 150.55/151.00 (step @p233 :rule bool-double-not-elim :args (@t169)) % 150.55/151.00 (step @p234 :rule refl :args (@t172)) % 150.55/151.00 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t172 (not @t171)))) % 150.55/151.00 (step @p236 :rule cnf_or_neg :args (@t172 0)) % 150.55/151.00 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 150.55/151.00 (step @p238 :rule reordering :premises (@p237) :args ((or @t169 @t172))) % 150.55/151.00 (step @p239 :rule cnf_or_neg :args (@t172 1)) % 150.55/151.00 (step @p240 :rule eq-symm :args (@t176 @t178)) % 150.55/151.00 (step @p241 :rule cong :premises (@p240) :args (@t180)) % 150.55/151.00 ; trust TRUST PREPROCESS_HO_ELIM % 150.55/151.00 (step @p242 :rule trust :premises () :args ((= @t182 @t180))) % 150.55/151.00 (step @p243 :rule trans :premises (@p242 @p241)) % 150.55/151.00 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 150.55/151.00 (step @p244 :rule trust :premises () :args (@t182)) % 150.55/151.00 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 150.55/151.00 (step @p246 :rule eq-symm :args (@t185 @t169)) % 150.55/151.00 (step @p247 :rule refl :args (@t186)) % 150.55/151.00 (step @p248 :rule cong :premises (@p247 @p246) :args ((=> @t186 @t187))) % 150.55/151.00 (assume-push @p427 @t186) % 150.55/151.00 (step @p250 :rule instantiate :premises (@p245) :args ((@list @t77 tptp.t @t168))) % 150.55/151.00 (step-pop @p428 :rule scope :premises (@p250)) % 150.55/151.00 (step @p251 :rule process_scope :premises (@p428) :args (@t187)) % 150.55/151.00 (step @p253 :rule eq_resolve :premises (@p251 @p248)) % 150.55/151.00 (step @p254 :rule implies_elim :premises (@p253)) % 150.55/151.00 (step @p255 :rule chain_m_resolution :premises (@p254 @p245) :args (@t188 @t189 @t190)) % 150.55/151.00 (step @p256 :rule cnf_equiv_pos1 :args (@t188)) % 150.55/151.00 (step @p257 :rule reordering :premises (@p256) :args ((or @t171 @t185 (not @t188)))) % 150.55/151.00 ; trust TRUST PREPROCESS_HO_ELIM % 150.55/151.00 (step @p258 :rule trust :premises () :args ((= @t193 (forall @t192 (not (_ @t55 @t77 @t191)))))) % 150.55/151.00 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 150.55/151.00 (step @p259 :rule trust :premises () :args (@t193)) % 150.55/151.00 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 150.55/151.00 (step @p261 :rule instantiate :premises (@p260) :args ((@list @t195))) % 150.55/151.00 (step @p262 :rule bool-double-not-elim :args (@t196)) % 150.55/151.00 (step @p263 :rule refl :args (@t198)) % 150.55/151.00 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or @t198 (not @t197)))) % 150.55/151.00 (step @p265 :rule cnf_or_neg :args (@t198 0)) % 150.55/151.00 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 150.55/151.00 (step @p267 :rule reordering :premises (@p266) :args ((or @t196 @t198))) % 150.55/151.00 (step @p268 :rule chain_m_resolution :premises (@p267 @p261) :args (@t198 @t163 (@list @t196))) % 150.55/151.00 (step @p269 :rule refl :args (@t199)) % 150.55/151.00 (step @p270 :rule bool-double-not-elim :args (@t194)) % 150.55/151.00 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or (not @t200) @t199))) % 150.55/151.00 (assume-push @p429 @t200) % 150.55/151.00 (step @p273 :rule skolemize :premises (@p429)) % 150.55/151.00 (step-pop @p430 :rule scope :premises (@p273)) % 150.55/151.00 (step @p274 :rule process_scope :premises (@p430) :args (@t199)) % 150.55/151.00 (step @p276 :rule implies_elim :premises (@p274)) % 150.55/151.00 (step @p277 :rule eq_resolve :premises (@p276 @p271)) % 150.55/151.00 (step @p278 :rule chain_m_resolution :premises (@p277 @p268) :args (@t194 @t189 (@list @t198))) % 150.55/151.00 (assume-push @p431 @t194) % 150.55/151.00 (step @p280 :rule instantiate :premises (@p431) :args ((@list @t168))) % 150.55/151.00 (step-pop @p432 :rule scope :premises (@p280)) % 150.55/151.00 (step @p281 :rule process_scope :premises (@p432) :args (@t202)) % 150.55/151.00 (step @p283 :rule implies_elim :premises (@p281)) % 150.55/151.00 (step @p284 :rule chain_m_resolution :premises (@p283 @p278) :args (@t202 @t189 (@list @t194))) % 150.55/151.00 (step @p285 :rule cnf_or_pos :args (@t202)) % 150.55/151.00 (step @p286 :rule reordering :premises (@p285) :args ((or @t170 @t201 (not @t202)))) % 150.55/151.00 (step @p287 :rule cnf_or_pos :args (@t185)) % 150.55/151.00 (step @p288 :rule reordering :premises (@p287) :args ((or @t184 @t183 (not @t185)))) % 150.55/151.00 (step @p289 :rule bool-double-not-elim :args (@t160)) % 150.55/151.00 (step @p290 :rule nary_cong :premises (@p226 @p289) :args ((or @t162 (not @t161)))) % 150.55/151.00 (step @p291 :rule cnf_or_neg :args (@t162 1)) % 150.55/151.00 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 150.55/151.00 (step @p293 :rule reordering :premises (@p292) :args ((or @t160 @t162))) % 150.55/151.00 (step @p294 :rule chain_m_resolution :premises (@p293 @p224) :args (@t160 @t163 @t164)) % 150.55/151.00 (step @p295 :rule refl :args (@t203)) % 150.55/151.00 (step @p296 :rule bool-double-not-elim :args (@t170)) % 150.55/151.00 (step @p297 :rule refl :args (@t161)) % 150.55/151.00 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295) :args ((or @t161 (not @t204) @t203))) % 150.55/151.00 (assume-push @p433 @t160) % 150.55/151.00 (assume-push @p434 @t183) % 150.55/151.00 (assume-push @p435 @t204) % 150.55/151.00 (step @p302 :rule evaluate :args ((= false true))) % 150.55/151.00 (step @p303 :rule true_intro :premises (@p294)) % 150.55/151.00 (step @p304 :rule symm :premises (@p434)) % 150.55/151.00 (step @p305 :rule refl :args (@t156)) % 150.55/151.00 (step @p306 :rule cong :premises (@p305 @p304) :args (@t170)) % 150.55/151.00 (step @p307 :rule false_intro :premises (@p435)) % 150.55/151.00 (step @p308 :rule symm :premises (@p307)) % 150.55/151.00 (step @p309 :rule trans :premises (@p308 @p306 @p303)) % 150.55/151.00 (step @p310 false :rule eq_resolve :premises (@p309 @p302)) % 150.55/151.00 (step-pop @p436 :rule scope :premises (@p310)) % 150.55/151.00 (step-pop @p437 :rule scope :premises (@p436)) % 150.55/151.00 (step-pop @p438 :rule scope :premises (@p437)) % 150.55/151.00 (step @p311 :rule process_scope :premises (@p438) :args (false)) % 150.55/151.00 (assume-push @p439 @t160) % 150.55/151.00 (assume-push @p440 @t204) % 150.55/151.00 (assume-push @p441 @t183) % 150.55/151.00 (step @p318 :rule and_intro :premises (@p294 @p441 @p440)) % 150.55/151.00 (step-pop @p442 :rule scope :premises (@p318)) % 150.55/151.00 (step-pop @p443 :rule scope :premises (@p442)) % 150.55/151.00 (step-pop @p444 :rule scope :premises (@p443)) % 150.55/151.00 (step @p319 :rule process_scope :premises (@p444) :args (@t205)) % 150.55/151.00 (step @p323 :rule implies_elim :premises (@p319)) % 150.55/151.00 (step @p324 :rule resolution :premises (@p323 @p311) :args (true @t205)) % 150.55/151.00 (step @p325 :rule not_and :premises (@p324)) % 150.55/151.00 (step @p326 :rule eq_resolve :premises (@p325 @p298)) % 150.55/151.00 (step @p327 :rule chain_m_resolution :premises (@p326 @p294 @p288 @p286 @p284 @p257 @p255 @p239 @p238) :args (@t172 (@list false false true false false false true false) (@list @t160 @t183 @t184 @t202 @t185 @t188 @t170 @t169))) % 150.55/151.00 (step @p328 :rule refl :args (@t206)) % 150.55/151.00 (step @p329 :rule bool-double-not-elim :args (@t167)) % 150.55/151.00 (step @p330 :rule nary_cong :premises (@p329 @p328) :args ((or (not @t207) @t206))) % 150.55/151.00 (assume-push @p445 @t207) % 150.55/151.00 (step @p332 :rule skolemize :premises (@p445)) % 150.55/151.00 (step-pop @p446 :rule scope :premises (@p332)) % 150.55/151.00 (step @p333 :rule process_scope :premises (@p446) :args (@t206)) % 150.55/151.00 (step @p335 :rule implies_elim :premises (@p333)) % 150.55/151.00 (step @p336 :rule eq_resolve :premises (@p335 @p330)) % 150.55/151.00 (step @p337 :rule chain_m_resolution :premises (@p336 @p327) :args (@t167 @t189 (@list @t172))) % 150.55/151.00 (step @p338 :rule bool-double-not-elim :args (@t211)) % 150.55/151.00 (step @p339 :rule refl :args (@t216)) % 150.55/151.00 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or @t216 (not @t215)))) % 150.55/151.00 (step @p341 :rule cnf_or_neg :args (@t216 0)) % 150.55/151.00 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 150.55/151.00 (step @p343 :rule reordering :premises (@p342) :args ((or @t211 @t216))) % 150.55/151.00 (step @p344 :rule bool-double-not-elim :args (@t213)) % 150.55/151.00 (step @p345 :rule nary_cong :premises (@p339 @p344) :args ((or @t216 (not @t214)))) % 150.55/151.00 (step @p346 :rule cnf_or_neg :args (@t216 1)) % 150.55/151.00 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 150.55/151.00 (step @p348 :rule reordering :premises (@p347) :args ((or @t213 @t216))) % 150.55/151.00 (step @p349 :rule cnf_or_neg :args (@t216 2)) % 150.55/151.00 (step @p350 :rule bool-eq-true :args (@t217)) % 150.55/151.00 (step @p351 :rule eq-symm :args (true @t217)) % 150.55/151.00 (step @p352 :rule trans :premises (@p351 @p350)) % 150.55/151.00 (step @p353 :rule refl :args (@t217)) % 150.55/151.00 (step @p354 :rule absorb :args ((= (or @t218 true) true))) % 150.55/151.00 (step @p355 :rule eq-refl :args (tptp.t)) % 150.55/151.00 (step @p356 :rule refl :args (@t218)) % 150.55/151.00 (step @p357 :rule nary_cong :premises (@p356 @p355) :args (@t219)) % 150.55/151.00 (step @p358 :rule trans :premises (@p357 @p354)) % 150.55/151.00 (step @p359 :rule cong :premises (@p358 @p353) :args (@t220)) % 150.55/151.00 (step @p360 :rule trans :premises (@p359 @p352)) % 150.55/151.00 (step @p361 :rule cong :premises (@p247 @p360) :args ((=> @t186 @t220))) % 150.55/151.00 (assume-push @p447 @t186) % 150.55/151.00 (step @p363 :rule instantiate :premises (@p245) :args ((@list @t77 tptp.t tptp.t))) % 150.55/151.00 (step-pop @p448 :rule scope :premises (@p363)) % 150.55/151.00 (step @p364 :rule process_scope :premises (@p448) :args (@t220)) % 150.55/151.00 (step @p366 :rule eq_resolve :premises (@p364 @p361)) % 150.55/151.00 (step @p367 :rule implies_elim :premises (@p366)) % 150.55/151.00 (step @p368 :rule chain_m_resolution :premises (@p367 @p245) :args (@t217 @t189 @t190)) % 150.55/151.00 (step @p369 :rule cnf_or_pos :args (@t222)) % 150.55/151.00 (step @p370 :rule reordering :premises (@p369) :args ((or @t221 @t215 @t212 (not @t222)))) % 150.55/151.00 (assume-push @p449 @t213) % 150.55/151.00 (step @p372 :rule instantiate :premises (@p449) :args ((@list @t77 tptp.t))) % 150.55/151.00 (step-pop @p450 :rule scope :premises (@p372)) % 150.55/151.00 (step @p373 :rule process_scope :premises (@p450) :args (@t222)) % 150.55/151.00 (step @p375 :rule implies_elim :premises (@p373)) % 150.55/151.00 (step @p376 :rule chain_m_resolution :premises (@p375 @p370 @p368 @p349 @p348 @p343) :args (@t216 (@list true false true false false) (@list @t222 @t217 @t212 @t213 @t211))) % 150.55/151.00 (step @p377 :rule refl :args (@t223)) % 150.55/151.00 (step @p378 :rule bool-double-not-elim :args (@t209)) % 150.55/151.00 (step @p379 :rule nary_cong :premises (@p378 @p377) :args ((or (not @t224) @t223))) % 150.55/151.00 (assume-push @p451 @t224) % 150.55/151.00 (step @p381 :rule skolemize :premises (@p451)) % 150.55/151.00 (step-pop @p452 :rule scope :premises (@p381)) % 150.55/151.00 (step @p382 :rule process_scope :premises (@p452) :args (@t223)) % 150.55/151.00 (step @p384 :rule implies_elim :premises (@p382)) % 150.55/151.00 (step @p385 :rule eq_resolve :premises (@p384 @p379)) % 150.55/151.00 (step @p386 :rule chain_m_resolution :premises (@p385 @p376) :args (@t209 @t189 (@list @t216))) % 150.55/151.00 (step @p387 :rule cnf_or_pos :args (@t227)) % 150.55/151.00 (step @p388 :rule reordering :premises (@p387) :args ((or @t224 @t207 @t226 (not @t227)))) % 150.55/151.00 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p337 @p232) :args (@t226 (@list false false false) (@list @t209 @t167 @t227))) % 150.55/151.00 (step @p390 :rule refl :args (@t236)) % 150.55/151.00 (step @p391 :rule bool-double-not-elim :args (@t225)) % 150.55/151.00 (step @p392 :rule nary_cong :premises (@p391 @p390) :args ((or (not @t226) @t236))) % 150.55/151.00 (assume-push @p453 @t226) % 150.55/151.00 (step @p394 :rule skolemize :premises (@p453)) % 150.55/151.00 (step-pop @p454 :rule scope :premises (@p394)) % 150.55/151.00 (step @p395 :rule process_scope :premises (@p454) :args (@t236)) % 150.55/151.00 (step @p397 :rule implies_elim :premises (@p395)) % 150.55/151.00 (step @p398 :rule eq_resolve :premises (@p397 @p392)) % 150.55/151.00 (step @p399 :rule chain_m_resolution :premises (@p398 @p389) :args (@t236 @t163 (@list @t225))) % 150.55/151.00 (step @p400 :rule bool-double-not-elim :args (@t232)) % 150.55/151.00 (step @p401 :rule refl :args (@t235)) % 150.55/151.00 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or @t235 (not @t233)))) % 150.55/151.00 (step @p403 :rule cnf_or_neg :args (@t235 1)) % 150.55/151.00 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 150.55/151.00 (step @p405 :rule reordering :premises (@p404) :args ((or @t232 @t235))) % 150.55/151.00 (step @p406 :rule chain_m_resolution :premises (@p405 @p399) :args (@t232 @t163 @t237)) % 150.55/151.00 (step @p407 :rule cnf_or_neg :args (@t235 2)) % 150.55/151.00 (step @p408 :rule chain_m_resolution :premises (@p407 @p399) :args ((not @t231) @t163 @t237)) % 150.55/151.00 (step @p409 :rule bool-double-not-elim :args (@t230)) % 150.55/151.00 (step @p410 :rule nary_cong :premises (@p401 @p409) :args ((or @t235 (not @t234)))) % 150.55/151.00 (step @p411 :rule cnf_or_neg :args (@t235 0)) % 150.55/151.00 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 150.55/151.00 (step @p413 :rule reordering :premises (@p412) :args ((or @t230 @t235))) % 150.55/151.00 (step @p414 :rule chain_m_resolution :premises (@p413 @p399) :args (@t230 @t163 @t237)) % 150.55/151.00 (step @p415 :rule cnf_and_neg :args (@t231)) % 150.55/151.00 (step @p416 :rule reordering :premises (@p415) :args ((or @t234 @t231 @t238))) % 150.55/151.00 (step @p417 :rule chain_m_resolution :premises (@p416 @p414 @p408) :args (@t238 @t239 (@list @t230 @t231))) % 150.55/151.00 (step @p418 :rule cnf_or_pos :args (@t240)) % 150.55/151.00 (step @p419 :rule reordering :premises (@p418) :args ((or @t221 @t229 @t241))) % 150.55/151.00 (step @p420 :rule chain_m_resolution :premises (@p419 @p368 @p417) :args (@t241 @t239 (@list @t217 @t229))) % 150.55/151.00 (assume-push @p455 @t232) % 150.55/151.00 (step @p422 :rule instantiate :premises (@p455) :args ((@list tptp.t))) % 150.55/151.00 (step-pop @p456 :rule scope :premises (@p422)) % 150.55/151.00 (step @p423 :rule process_scope :premises (@p456) :args (@t240)) % 150.55/151.00 (step @p425 :rule implies_elim :premises (@p423)) % 150.55/151.00 (step @p426 false :rule chain_m_resolution :premises (@p425 @p420 @p406) :args (false (@list true false) (@list @t240 @t232))) % 150.55/151.00 ) % 150.55/151.00 % SZS output end Proof % 150.55/151.00 % cvc5 exiting %------------------------------------------------------------------------------