%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM859+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:40:51 AM UTC 2026 % Result : Theorem 17.60s 17.81s % Output : Proof 17.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM859+1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n016.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:30:54 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 17.60/17.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.60/17.81 --- Run --no-e-matching --full-saturate-quant at 6... % 17.60/17.81 % SZS status Theorem % 17.60/17.81 % SZS output start Proof % 17.60/17.81 ( % 17.60/17.81 (declare-sort $$unsorted 0) % 17.60/17.81 (declare-const tptp.minsol_model_ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.60/17.81 (declare-const tptp.minsol_model_max (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.60/17.81 (declare-const tptp.model_ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.60/17.81 (declare-const tptp.model_max (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.60/17.81 (declare-const tptp.ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.60/17.81 (declare-const tptp.summation (-> $$unsorted $$unsorted)) % 17.60/17.81 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted)) % 17.60/17.81 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 17.60/17.81 (declare-const tptp.lesseq (-> $$unsorted $$unsorted Bool)) % 17.60/17.81 (define @t1 () (@var "X" $$unsorted)) % 17.60/17.81 (define @t2 () (@var "Z" $$unsorted)) % 17.60/17.81 (define @t3 () (tptp.lesseq @t1 @t2)) % 17.60/17.81 (define @t4 () (@var "Y" $$unsorted)) % 17.60/17.81 (define @t5 () (tptp.lesseq @t4 @t2)) % 17.60/17.81 (define @t6 () (tptp.lesseq @t1 @t4)) % 17.60/17.81 (define @t7 () (and @t6 @t5)) % 17.60/17.81 (define @t8 () (@list @t1 @t4 @t2)) % 17.60/17.81 (define @t9 () (forall @t8 (=> @t7 @t3))) % 17.60/17.81 (define @t10 () (= @t1 @t4)) % 17.60/17.81 (define @t11 () (tptp.lesseq @t4 @t1)) % 17.60/17.81 (define @t12 () (and @t6 @t11)) % 17.60/17.81 (define @t13 () (@list @t1 @t4)) % 17.60/17.81 (define @t14 () (forall @t13 (=> @t12 @t10))) % 17.60/17.81 (define @t15 () (not @t11)) % 17.60/17.81 (define @t16 () (tptp.max @t1 @t4)) % 17.60/17.81 (define @t17 () (or (= @t16 @t1) @t15)) % 17.60/17.81 (define @t18 () (forall @t13 @t17)) % 17.60/17.81 (define @t19 () (not @t6)) % 17.60/17.81 (define @t20 () (or (= @t16 @t4) @t19)) % 17.60/17.81 (define @t21 () (forall @t13 @t20)) % 17.60/17.81 (define @t22 () (tptp.ub @t1 @t4 @t2)) % 17.60/17.81 (define @t23 () (@var "N" $$unsorted)) % 17.60/17.81 (define @t24 () (tptp.model_max @t1 @t4 @t23)) % 17.60/17.81 (define @t25 () (@list @t1 @t4 @t23)) % 17.60/17.81 (define @t26 () (tptp.lesseq @t2 @t23)) % 17.60/17.81 (define @t27 () (and @t22 @t26)) % 17.60/17.81 (define @t28 () (@list @t2)) % 17.60/17.81 (define @t29 () (exists @t28 @t27)) % 17.60/17.81 (define @t30 () (tptp.model_ub @t1 @t4 @t23)) % 17.60/17.81 (define @t31 () (= @t30 @t29)) % 17.60/17.81 (define @t32 () (forall @t25 @t31)) % 17.60/17.81 (define @t33 () (tptp.lesseq @t23 @t2)) % 17.60/17.81 (define @t34 () (tptp.model_max @t1 @t4 @t2)) % 17.60/17.81 (define @t35 () (forall @t28 (=> @t34 @t33))) % 17.60/17.81 (define @t36 () (and @t24 @t35)) % 17.60/17.81 (define @t37 () (tptp.minsol_model_max @t1 @t4 @t23)) % 17.60/17.81 (define @t38 () (= @t37 @t36)) % 17.60/17.81 (define @t39 () (forall @t25 @t38)) % 17.60/17.81 (define @t40 () (tptp.model_ub @t1 @t4 @t2)) % 17.60/17.81 (define @t41 () (forall @t28 (=> @t40 @t33))) % 17.60/17.81 (define @t42 () (and @t30 @t41)) % 17.60/17.81 (define @t43 () (tptp.minsol_model_ub @t1 @t4 @t23)) % 17.60/17.81 (define @t44 () (= @t43 @t42)) % 17.60/17.81 (define @t45 () (forall @t25 @t44)) % 17.60/17.81 (define @t46 () (forall @t8 (= (tptp.minsol_model_ub @t1 @t4 @t2) (tptp.minsol_model_max @t1 @t4 @t2)))) % 17.60/17.81 (define @t47 () (not @t5)) % 17.60/17.81 (define @t48 () (or @t19 @t47 @t3)) % 17.60/17.81 (define @t49 () (@quantifiers_skolemize @t46 1)) % 17.60/17.81 (define @t50 () (tptp.lesseq @t49 @t2)) % 17.60/17.81 (define @t51 () (@quantifiers_skolemize @t46 0)) % 17.60/17.81 (define @t52 () (not (tptp.model_ub @t51 @t49 @t2))) % 17.60/17.81 (define @t53 () (forall @t28 (or @t52 @t50))) % 17.60/17.81 (define @t54 () (@quantifiers_skolemize @t53 0)) % 17.60/17.81 (define @t55 () (not (tptp.ub @t51 @t49 @t2))) % 17.60/17.81 (define @t56 () (forall @t28 (or @t55 (not (tptp.lesseq @t2 @t54))))) % 17.60/17.81 (define @t57 () (@quantifiers_skolemize @t56 0)) % 17.60/17.81 (define @t58 () (forall @t28 (not @t27))) % 17.60/17.81 (define @t59 () (not @t58)) % 17.60/17.81 (define @t60 () (@list @t51 @t49 @t49)) % 17.60/17.81 (define @t61 () (@list @t49)) % 17.60/17.81 (define @t62 () (@list @t51 @t49)) % 17.60/17.81 (define @t63 () (tptp.lesseq @t49 @t51)) % 17.60/17.81 (define @t64 () (not @t63)) % 17.60/17.81 (define @t65 () (tptp.max @t51 @t49)) % 17.60/17.81 (define @t66 () (= @t51 @t65)) % 17.60/17.81 (define @t67 () (or @t66 @t64)) % 17.60/17.81 (define @t68 () (@list @t51)) % 17.60/17.81 (define @t69 () (tptp.lesseq @t51 @t51)) % 17.60/17.81 (define @t70 () (and @t69 @t63)) % 17.60/17.81 (define @t71 () (not @t69)) % 17.60/17.81 (define @t72 () (tptp.lesseq @t65 @t51)) % 17.60/17.81 (define @t73 () (and @t69 @t66)) % 17.60/17.81 (define @t74 () (@quantifiers_skolemize @t46 2)) % 17.60/17.81 (define @t75 () (@list @t51 @t49 @t74)) % 17.60/17.81 (define @t76 () (tptp.minsol_model_max @t51 @t49 @t74)) % 17.60/17.81 (define @t77 () (tptp.minsol_model_ub @t51 @t49 @t74)) % 17.60/17.81 (define @t78 () (= @t77 @t76)) % 17.60/17.81 (define @t79 () (tptp.lesseq @t74 @t2)) % 17.60/17.81 (define @t80 () (forall @t28 (or @t52 @t79))) % 17.60/17.81 (define @t81 () (tptp.model_ub @t51 @t49 @t74)) % 17.60/17.81 (define @t82 () (and @t81 @t80)) % 17.60/17.81 (define @t83 () (= @t77 @t82)) % 17.60/17.81 (define @t84 () (not @t77)) % 17.60/17.81 (define @t85 () (not @t82)) % 17.60/17.81 (define @t86 () (forall @t28 (or @t55 (not (tptp.lesseq @t2 @t74))))) % 17.60/17.81 (define @t87 () (not @t86)) % 17.60/17.81 (define @t88 () (= @t81 @t87)) % 17.60/17.81 (define @t89 () (tptp.lesseq @t74 @t51)) % 17.60/17.81 (define @t90 () (tptp.model_ub @t51 @t49 @t51)) % 17.60/17.81 (define @t91 () (not @t90)) % 17.60/17.81 (define @t92 () (or @t91 @t89)) % 17.60/17.81 (define @t93 () (tptp.lesseq @t74 @t49)) % 17.60/17.81 (define @t94 () (tptp.model_ub @t51 @t49 @t49)) % 17.60/17.81 (define @t95 () (not @t94)) % 17.60/17.81 (define @t96 () (or @t95 @t93)) % 17.60/17.81 (define @t97 () (@quantifiers_skolemize @t86 0)) % 17.60/17.81 (define @t98 () (tptp.lesseq @t97 @t74)) % 17.60/17.81 (define @t99 () (not @t98)) % 17.60/17.81 (define @t100 () (tptp.ub @t51 @t49 @t97)) % 17.60/17.81 (define @t101 () (not @t100)) % 17.60/17.81 (define @t102 () (or @t101 @t99)) % 17.60/17.81 (define @t103 () (not @t102)) % 17.60/17.81 (define @t104 () (tptp.lesseq @t49 @t97)) % 17.60/17.81 (define @t105 () (tptp.lesseq @t51 @t97)) % 17.60/17.81 (define @t106 () (and @t105 @t104)) % 17.60/17.81 (define @t107 () (= @t100 @t106)) % 17.60/17.81 (define @t108 () (not @t106)) % 17.60/17.81 (define @t109 () (tptp.lesseq @t51 @t74)) % 17.60/17.81 (define @t110 () (not @t105)) % 17.60/17.81 (define @t111 () (or @t110 @t99 @t109)) % 17.60/17.81 (define @t112 () (tptp.lesseq @t49 @t74)) % 17.60/17.81 (define @t113 () (not @t104)) % 17.60/17.81 (define @t114 () (or @t113 @t99 @t112)) % 17.60/17.81 (define @t115 () (@list @t51 @t49 @t51)) % 17.60/17.81 (define @t116 () (tptp.ub @t51 @t49 @t51)) % 17.60/17.81 (define @t117 () (= @t116 @t70)) % 17.60/17.81 (define @t118 () (not @t116)) % 17.60/17.81 (define @t119 () (or @t118 @t71)) % 17.60/17.81 (define @t120 () (forall @t28 (or @t55 (not (tptp.lesseq @t2 @t51))))) % 17.60/17.81 (define @t121 () (not @t120)) % 17.60/17.81 (define @t122 () (= @t90 @t121)) % 17.60/17.81 (define @t123 () (not @t122)) % 17.60/17.81 (define @t124 () (not @t92)) % 17.60/17.81 (define @t125 () (@list @t51 @t74)) % 17.60/17.81 (define @t126 () (= @t51 @t74)) % 17.60/17.81 (define @t127 () (not @t89)) % 17.60/17.81 (define @t128 () (not @t109)) % 17.60/17.81 (define @t129 () (or @t128 @t127 @t126)) % 17.60/17.81 (define @t130 () (tptp.minsol_model_max @t51 @t49 @t51)) % 17.60/17.81 (define @t131 () (not @t130)) % 17.60/17.81 (define @t132 () (not @t126)) % 17.60/17.81 (define @t133 () (not @t76)) % 17.60/17.81 (define @t134 () (not @t133)) % 17.60/17.81 (define @t135 () (and @t133 @t126)) % 17.60/17.81 (define @t136 () (tptp.model_max @t51 @t49 @t51)) % 17.60/17.81 (define @t137 () (= @t136 @t72)) % 17.60/17.81 (define @t138 () (tptp.lesseq @t51 @t2)) % 17.60/17.81 (define @t139 () (not (tptp.model_max @t51 @t49 @t2))) % 17.60/17.81 (define @t140 () (forall @t28 (or @t139 @t138))) % 17.60/17.81 (define @t141 () (and @t136 @t140)) % 17.60/17.81 (define @t142 () (= @t130 @t141)) % 17.60/17.81 (define @t143 () (@quantifiers_skolemize @t140 0)) % 17.60/17.81 (define @t144 () (tptp.lesseq @t51 @t143)) % 17.60/17.81 (define @t145 () (tptp.model_max @t51 @t49 @t143)) % 17.60/17.81 (define @t146 () (not @t145)) % 17.60/17.81 (define @t147 () (or @t146 @t144)) % 17.60/17.81 (define @t148 () (not @t147)) % 17.60/17.81 (define @t149 () (not @t140)) % 17.60/17.81 (define @t150 () (tptp.lesseq @t65 @t143)) % 17.60/17.81 (define @t151 () (= @t145 @t150)) % 17.60/17.81 (define @t152 () (not @t150)) % 17.60/17.81 (define @t153 () (not @t66)) % 17.60/17.81 (define @t154 () (not @t144)) % 17.60/17.81 (define @t155 () (and @t66 @t154)) % 17.60/17.81 (define @t156 () (tptp.lesseq @t51 @t49)) % 17.60/17.81 (define @t157 () (or @t156 @t63)) % 17.60/17.81 (define @t158 () (tptp.lesseq @t49 @t49)) % 17.60/17.81 (define @t159 () (and @t156 @t158)) % 17.60/17.81 (define @t160 () (not @t158)) % 17.60/17.81 (define @t161 () (not @t156)) % 17.60/17.81 (define @t162 () (= @t49 @t65)) % 17.60/17.81 (define @t163 () (or @t162 @t161)) % 17.60/17.81 (define @t164 () (tptp.ub @t51 @t49 @t49)) % 17.60/17.81 (define @t165 () (= @t164 @t159)) % 17.60/17.81 (define @t166 () (not @t164)) % 17.60/17.81 (define @t167 () (or @t166 @t160)) % 17.60/17.81 (define @t168 () (not @t167)) % 17.60/17.81 (define @t169 () (forall @t28 (or @t55 (not (tptp.lesseq @t2 @t49))))) % 17.60/17.81 (define @t170 () (not @t169)) % 17.60/17.81 (define @t171 () (= @t94 @t170)) % 17.60/17.81 (define @t172 () (not @t171)) % 17.60/17.81 (define @t173 () (not @t170)) % 17.60/17.81 (define @t174 () (= @t49 @t74)) % 17.60/17.81 (define @t175 () (not @t93)) % 17.60/17.81 (define @t176 () (not @t112)) % 17.60/17.81 (define @t177 () (or @t176 @t175 @t174)) % 17.60/17.81 (define @t178 () (tptp.lesseq @t65 @t49)) % 17.60/17.81 (define @t179 () (and @t158 @t162)) % 17.60/17.81 (define @t180 () (not @t162)) % 17.60/17.81 (define @t181 () (tptp.minsol_model_max @t51 @t49 @t49)) % 17.60/17.81 (define @t182 () (not @t181)) % 17.60/17.81 (define @t183 () (not @t174)) % 17.60/17.81 (define @t184 () (and @t133 @t174)) % 17.60/17.81 (define @t185 () (tptp.model_max @t51 @t49 @t49)) % 17.60/17.81 (define @t186 () (= @t185 @t178)) % 17.60/17.81 (define @t187 () (forall @t28 (or @t139 @t50))) % 17.60/17.81 (define @t188 () (and @t185 @t187)) % 17.60/17.81 (define @t189 () (= @t181 @t188)) % 17.60/17.81 (define @t190 () (@quantifiers_skolemize @t187 0)) % 17.60/17.81 (define @t191 () (tptp.lesseq @t49 @t190)) % 17.60/17.81 (define @t192 () (tptp.model_max @t51 @t49 @t190)) % 17.60/17.81 (define @t193 () (not @t192)) % 17.60/17.81 (define @t194 () (or @t193 @t191)) % 17.60/17.81 (define @t195 () (not @t194)) % 17.60/17.81 (define @t196 () (not @t187)) % 17.60/17.81 (define @t197 () (tptp.lesseq @t65 @t190)) % 17.60/17.81 (define @t198 () (= @t192 @t197)) % 17.60/17.81 (define @t199 () (not @t197)) % 17.60/17.81 (define @t200 () (not @t191)) % 17.60/17.81 (define @t201 () (and @t162 @t200)) % 17.60/17.81 (define @t202 () (forall @t28 (or @t139 @t79))) % 17.60/17.81 (define @t203 () (tptp.model_max @t51 @t49 @t74)) % 17.60/17.81 (define @t204 () (and @t203 @t202)) % 17.60/17.81 (define @t205 () (= @t76 @t204)) % 17.60/17.81 (define @t206 () (@list false false)) % 17.60/17.81 (define @t207 () (not @t204)) % 17.60/17.81 (define @t208 () (@list false)) % 17.60/17.81 (define @t209 () (@list @t204)) % 17.60/17.81 (define @t210 () (tptp.lesseq @t65 @t74)) % 17.60/17.81 (define @t211 () (= @t203 @t210)) % 17.60/17.81 (define @t212 () (and @t66 @t210)) % 17.60/17.81 (define @t213 () (not @t210)) % 17.60/17.81 (define @t214 () (tptp.max @t51 @t74)) % 17.60/17.81 (define @t215 () (= @t74 @t214)) % 17.60/17.81 (define @t216 () (or @t215 @t128)) % 17.60/17.81 (define @t217 () (not @t136)) % 17.60/17.81 (define @t218 () (or @t217 @t89)) % 17.60/17.81 (define @t219 () (@list @t202)) % 17.60/17.81 (define @t220 () (= @t51 @t214)) % 17.60/17.81 (define @t221 () (or @t220 @t127)) % 17.60/17.81 (define @t222 () (forall @t28 (or @t52 @t138))) % 17.60/17.81 (define @t223 () (@quantifiers_skolemize @t222 0)) % 17.60/17.81 (define @t224 () (tptp.model_ub @t51 @t49 @t223)) % 17.60/17.81 (define @t225 () (tptp.lesseq @t51 @t223)) % 17.60/17.81 (define @t226 () (not @t224)) % 17.60/17.81 (define @t227 () (or @t226 @t225)) % 17.60/17.81 (define @t228 () (forall @t28 (or @t55 (not (tptp.lesseq @t2 @t223))))) % 17.60/17.81 (define @t229 () (not @t228)) % 17.60/17.81 (define @t230 () (= @t224 @t229)) % 17.60/17.81 (define @t231 () (@quantifiers_skolemize @t228 0)) % 17.60/17.81 (define @t232 () (tptp.lesseq @t231 @t223)) % 17.60/17.81 (define @t233 () (not @t232)) % 17.60/17.81 (define @t234 () (tptp.ub @t51 @t49 @t231)) % 17.60/17.81 (define @t235 () (not @t234)) % 17.60/17.81 (define @t236 () (or @t235 @t233)) % 17.60/17.81 (define @t237 () (not @t236)) % 17.60/17.81 (define @t238 () (tptp.lesseq @t51 @t231)) % 17.60/17.81 (define @t239 () (and @t238 (tptp.lesseq @t49 @t231))) % 17.60/17.81 (define @t240 () (= @t234 @t239)) % 17.60/17.81 (define @t241 () (not @t238)) % 17.60/17.81 (define @t242 () (or @t241 @t233 @t225)) % 17.60/17.81 (define @t243 () (not @t227)) % 17.60/17.81 (define @t244 () (not @t222)) % 17.60/17.81 (define @t245 () (and @t90 @t222)) % 17.60/17.81 (define @t246 () (tptp.minsol_model_ub @t51 @t49 @t51)) % 17.60/17.81 (define @t247 () (= @t246 @t245)) % 17.60/17.81 (define @t248 () (not @t246)) % 17.60/17.81 (define @t249 () (not @t215)) % 17.60/17.81 (define @t250 () (not @t220)) % 17.60/17.81 (define @t251 () (not @t84)) % 17.60/17.81 (define @t252 () (and @t84 @t220 @t215)) % 17.60/17.81 (define @t253 () (@list true false)) % 17.60/17.81 (define @t254 () (@list true)) % 17.60/17.81 (define @t255 () (and @t162 @t210)) % 17.60/17.81 (define @t256 () (@quantifiers_skolemize @t169 0)) % 17.60/17.81 (define @t257 () (tptp.lesseq @t74 @t256)) % 17.60/17.81 (define @t258 () (tptp.model_max @t51 @t49 @t256)) % 17.60/17.81 (define @t259 () (not @t258)) % 17.60/17.81 (define @t260 () (or @t259 @t257)) % 17.60/17.81 (define @t261 () (@list @t51 @t49 @t256)) % 17.60/17.81 (define @t262 () (tptp.lesseq @t256 @t49)) % 17.60/17.81 (define @t263 () (not @t262)) % 17.60/17.81 (define @t264 () (tptp.ub @t51 @t49 @t256)) % 17.60/17.81 (define @t265 () (not @t264)) % 17.60/17.81 (define @t266 () (or @t265 @t263)) % 17.60/17.81 (define @t267 () (not @t266)) % 17.60/17.81 (define @t268 () (@list @t266)) % 17.60/17.81 (define @t269 () (tptp.lesseq @t49 @t256)) % 17.60/17.81 (define @t270 () (and (tptp.lesseq @t51 @t256) @t269)) % 17.60/17.81 (define @t271 () (= @t264 @t270)) % 17.60/17.81 (define @t272 () (tptp.lesseq @t65 @t256)) % 17.60/17.81 (define @t273 () (and @t162 @t269)) % 17.60/17.81 (define @t274 () (= @t258 @t272)) % 17.60/17.81 (define @t275 () (not @t257)) % 17.60/17.81 (define @t276 () (or @t275 @t263 @t93)) % 17.60/17.81 (define @t277 () (@list false false false)) % 17.60/17.81 (define @t278 () (tptp.minsol_model_ub @t51 @t49 @t49)) % 17.60/17.81 (define @t279 () (not @t278)) % 17.60/17.81 (define @t280 () (and @t84 @t174)) % 17.60/17.81 (define @t281 () (and @t94 @t53)) % 17.60/17.81 (define @t282 () (= @t278 @t281)) % 17.60/17.81 (define @t283 () (not @t281)) % 17.60/17.81 (define @t284 () (not @t53)) % 17.60/17.81 (define @t285 () (tptp.lesseq @t49 @t54)) % 17.60/17.81 (define @t286 () (tptp.model_ub @t51 @t49 @t54)) % 17.60/17.81 (define @t287 () (not @t286)) % 17.60/17.81 (define @t288 () (or @t287 @t285)) % 17.60/17.81 (define @t289 () (not @t288)) % 17.60/17.81 (define @t290 () (@list @t288)) % 17.60/17.81 (define @t291 () (not @t56)) % 17.60/17.81 (define @t292 () (= @t286 @t291)) % 17.60/17.81 (define @t293 () (tptp.lesseq @t57 @t54)) % 17.60/17.81 (define @t294 () (not @t293)) % 17.60/17.81 (define @t295 () (tptp.ub @t51 @t49 @t57)) % 17.60/17.81 (define @t296 () (not @t295)) % 17.60/17.81 (define @t297 () (or @t296 @t294)) % 17.60/17.81 (define @t298 () (not @t297)) % 17.60/17.81 (define @t299 () (@list @t297)) % 17.60/17.81 (define @t300 () (tptp.lesseq @t49 @t57)) % 17.60/17.81 (define @t301 () (and (tptp.lesseq @t51 @t57) @t300)) % 17.60/17.81 (define @t302 () (= @t295 @t301)) % 17.60/17.81 (define @t303 () (not @t300)) % 17.60/17.81 (define @t304 () (or @t303 @t294 @t285)) % 17.60/17.81 (define @t305 () (not @t304)) % 17.60/17.81 (define @t306 () (forall @t8 @t48)) % 17.60/17.81 (assume @p1 (forall (@list @t1) (tptp.lesseq @t1 @t1))) % 17.60/17.81 (assume @p2 @t9) % 17.60/17.81 (assume @p3 @t14) % 17.60/17.81 (assume @p4 (forall @t13 (or @t6 @t11))) % 17.60/17.81 (assume @p5 (forall @t8 (= @t6 (tptp.lesseq (tptp.sum @t2 @t1) (tptp.sum @t2 @t4))))) % 17.60/17.81 (assume @p6 (forall @t13 (= @t6 (tptp.lesseq (tptp.summation @t1) (tptp.summation @t4))))) % 17.60/17.81 (assume @p7 @t18) % 17.60/17.81 (assume @p8 @t21) % 17.60/17.81 (assume @p9 (forall @t8 (= @t22 (and @t3 @t5)))) % 17.60/17.81 (assume @p10 (forall @t25 (= @t24 (tptp.lesseq @t16 @t23)))) % 17.60/17.81 (assume @p11 @t32) % 17.60/17.81 (assume @p12 @t39) % 17.60/17.81 (assume @p13 @t45) % 17.60/17.81 (assume @p14 (not @t46)) % 17.60/17.81 (assume @p15 true) % 17.60/17.81 (step @p16 :rule aci_norm :args ((= (or (or @t19 @t47) @t3) @t48))) % 17.60/17.81 (step @p17 :rule refl :args (@t3)) % 17.60/17.81 (step @p18 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 17.60/17.81 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t7) @t3))) % 17.60/17.81 (step @p20 :rule trans :premises (@p19 @p16)) % 17.60/17.81 (step @p21 :rule bool-impl-elim :args (@t7 @t3)) % 17.60/17.81 (step @p22 :rule trans :premises (@p21 @p20)) % 17.60/17.81 (step @p23 :rule cong :premises (@p22) :args (@t9)) % 17.60/17.81 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 17.60/17.81 (step @p25 :rule instantiate :premises (@p9) :args ((@list @t51 @t49 @t57))) % 17.60/17.81 (step @p26 :rule bool-and-de-morgan :args (@t22 @t26 true)) % 17.60/17.81 (step @p27 :rule cong :premises (@p26) :args (@t58)) % 17.60/17.81 (step @p28 :rule cong :premises (@p27) :args (@t59)) % 17.60/17.81 (step @p29 :rule exists-elim :args ((= @t29 @t59))) % 17.60/17.81 (step @p30 :rule trans :premises (@p29 @p28)) % 17.60/17.81 (step @p31 :rule refl :args (@t30)) % 17.60/17.81 (step @p32 :rule cong :premises (@p31 @p30) :args (@t31)) % 17.60/17.81 (step @p33 :rule cong :premises (@p32) :args (@t32)) % 17.60/17.81 (step @p34 :rule eq_resolve :premises (@p11 @p33)) % 17.60/17.81 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t51 @t49 @t54))) % 17.60/17.81 (step @p36 :rule instantiate :premises (@p34) :args (@t60)) % 17.60/17.81 (step @p37 :rule instantiate :premises (@p9) :args (@t60)) % 17.60/17.81 (step @p38 :rule instantiate :premises (@p1) :args (@t61)) % 17.60/17.81 (step @p39 :rule instantiate :premises (@p4) :args (@t62)) % 17.60/17.81 (step @p40 :rule refl :args (@t15)) % 17.60/17.81 (step @p41 :rule eq-symm :args (@t16 @t1)) % 17.60/17.81 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t17)) % 17.60/17.81 (step @p43 :rule cong :premises (@p42) :args (@t18)) % 17.60/17.81 (step @p44 :rule eq_resolve :premises (@p7 @p43)) % 17.60/17.81 (step @p45 :rule instantiate :premises (@p44) :args (@t62)) % 17.60/17.81 (step @p46 :rule cnf_or_pos :args (@t67)) % 17.60/17.81 (step @p47 :rule reordering :premises (@p46) :args ((or @t64 @t66 (not @t67)))) % 17.60/17.81 (step @p48 :rule instantiate :premises (@p1) :args (@t68)) % 17.60/17.81 (step @p49 :rule cnf_and_neg :args (@t70)) % 17.60/17.81 (step @p50 :rule reordering :premises (@p49) :args ((or @t71 @t64 @t70))) % 17.60/17.81 (assume-push @p707 @t69) % 17.60/17.81 (assume-push @p708 @t66) % 17.60/17.81 (assume-push @p709 @t69) % 17.60/17.81 (assume-push @p710 @t66) % 17.60/17.81 (step @p55 :rule true_intro :premises (@p48)) % 17.60/17.81 (step @p56 :rule refl :args (@t51)) % 17.60/17.81 (step @p57 :rule symm :premises (@p708)) % 17.60/17.81 (step @p58 :rule cong :premises (@p57 @p56) :args (@t72)) % 17.60/17.81 (step @p59 :rule trans :premises (@p58 @p55)) % 17.60/17.81 (step @p60 :rule true_elim :premises (@p59)) % 17.60/17.81 (step-pop @p711 :rule scope :premises (@p60)) % 17.60/17.81 (step-pop @p712 :rule scope :premises (@p711)) % 17.60/17.81 (step @p61 :rule process_scope :premises (@p712) :args (@t72)) % 17.60/17.81 (step @p64 :rule and_intro :premises (@p48 @p708)) % 17.60/17.81 (step @p65 :rule modus_ponens :premises (@p64 @p61)) % 17.60/17.81 (step-pop @p713 :rule scope :premises (@p65)) % 17.60/17.81 (step-pop @p714 :rule scope :premises (@p713)) % 17.60/17.81 (step @p66 :rule process_scope :premises (@p714) :args (@t72)) % 17.60/17.81 (step @p69 :rule implies_elim :premises (@p66)) % 17.60/17.81 (step @p70 :rule cnf_and_neg :args (@t73)) % 17.60/17.81 (step @p71 :rule resolution :premises (@p70 @p69) :args (true @t73)) % 17.60/17.81 (step @p72 :rule instantiate :premises (@p10) :args (@t75)) % 17.60/17.81 (step @p73 :rule bool-impl-elim :args (@t34 @t33)) % 17.60/17.81 (step @p74 :rule cong :premises (@p73) :args (@t35)) % 17.60/17.81 (step @p75 :rule refl :args (@t24)) % 17.60/17.81 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t36)) % 17.60/17.81 (step @p77 :rule refl :args (@t37)) % 17.60/17.81 (step @p78 :rule cong :premises (@p77 @p76) :args (@t38)) % 17.60/17.81 (step @p79 :rule cong :premises (@p78) :args (@t39)) % 17.60/17.81 (step @p80 :rule eq_resolve :premises (@p12 @p79)) % 17.60/17.81 (step @p81 :rule instantiate :premises (@p80) :args (@t75)) % 17.60/17.81 (step @p82 :rule skolemize :premises (@p14)) % 17.60/17.81 (step @p83 :rule cnf_equiv_neg2 :args (@t78)) % 17.60/17.81 (step @p84 :rule bool-impl-elim :args (@t40 @t33)) % 17.60/17.81 (step @p85 :rule cong :premises (@p84) :args (@t41)) % 17.60/17.81 (step @p86 :rule nary_cong :premises (@p31 @p85) :args (@t42)) % 17.60/17.81 (step @p87 :rule refl :args (@t43)) % 17.60/17.81 (step @p88 :rule cong :premises (@p87 @p86) :args (@t44)) % 17.60/17.81 (step @p89 :rule cong :premises (@p88) :args (@t45)) % 17.60/17.81 (step @p90 :rule eq_resolve :premises (@p13 @p89)) % 17.60/17.81 (step @p91 :rule instantiate :premises (@p90) :args (@t75)) % 17.60/17.81 (step @p92 :rule cnf_equiv_pos1 :args (@t83)) % 17.60/17.81 (step @p93 :rule reordering :premises (@p92) :args ((or @t84 @t82 (not @t83)))) % 17.60/17.81 (step @p94 :rule cnf_and_pos :args (@t82 0)) % 17.60/17.81 (step @p95 :rule reordering :premises (@p94) :args ((or @t81 @t85))) % 17.60/17.81 (step @p96 :rule cnf_and_pos :args (@t82 1)) % 17.60/17.81 (step @p97 :rule reordering :premises (@p96) :args ((or @t80 @t85))) % 17.60/17.81 (step @p98 :rule instantiate :premises (@p34) :args (@t75)) % 17.60/17.81 (step @p99 :rule cnf_equiv_pos1 :args (@t88)) % 17.60/17.81 (step @p100 :rule reordering :premises (@p99) :args ((or @t87 (not @t81) (not @t88)))) % 17.60/17.81 (assume-push @p715 @t80) % 17.60/17.81 (step @p102 :rule instantiate :premises (@p715) :args (@t68)) % 17.60/17.81 (step-pop @p716 :rule scope :premises (@p102)) % 17.60/17.81 (step @p103 :rule process_scope :premises (@p716) :args (@t92)) % 17.60/17.81 (step @p105 :rule implies_elim :premises (@p103)) % 17.60/17.81 (assume-push @p717 @t80) % 17.60/17.81 (step @p107 :rule instantiate :premises (@p717) :args (@t61)) % 17.60/17.81 (step-pop @p718 :rule scope :premises (@p107)) % 17.60/17.81 (step @p108 :rule process_scope :premises (@p718) :args (@t96)) % 17.60/17.81 (step @p110 :rule implies_elim :premises (@p108)) % 17.60/17.81 (step @p111 :rule refl :args (@t103)) % 17.60/17.81 (step @p112 :rule bool-double-not-elim :args (@t86)) % 17.60/17.81 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t87) @t103))) % 17.60/17.81 (assume-push @p719 @t87) % 17.60/17.81 (step @p115 :rule skolemize :premises (@p719)) % 17.60/17.81 (step-pop @p720 :rule scope :premises (@p115)) % 17.60/17.81 (step @p116 :rule process_scope :premises (@p720) :args (@t103)) % 17.60/17.81 (step @p118 :rule implies_elim :premises (@p116)) % 17.60/17.81 (step @p119 :rule eq_resolve :premises (@p118 @p113)) % 17.60/17.81 (step @p120 :rule bool-double-not-elim :args (@t100)) % 17.60/17.81 (step @p121 :rule refl :args (@t102)) % 17.60/17.81 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t102 (not @t101)))) % 17.60/17.81 (step @p123 :rule cnf_or_neg :args (@t102 0)) % 17.60/17.81 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 17.60/17.81 (step @p125 :rule reordering :premises (@p124) :args ((or @t100 @t102))) % 17.60/17.81 (step @p126 :rule bool-double-not-elim :args (@t98)) % 17.60/17.81 (step @p127 :rule nary_cong :premises (@p121 @p126) :args ((or @t102 (not @t99)))) % 17.60/17.81 (step @p128 :rule cnf_or_neg :args (@t102 1)) % 17.60/17.81 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 17.60/17.81 (step @p130 :rule reordering :premises (@p129) :args ((or @t98 @t102))) % 17.60/17.81 (step @p131 :rule instantiate :premises (@p9) :args ((@list @t51 @t49 @t97))) % 17.60/17.81 (step @p132 :rule cnf_equiv_pos1 :args (@t107)) % 17.60/17.81 (step @p133 :rule reordering :premises (@p132) :args ((or @t101 @t106 (not @t107)))) % 17.60/17.81 (step @p134 :rule cnf_and_pos :args (@t106 0)) % 17.60/17.81 (step @p135 :rule reordering :premises (@p134) :args ((or @t105 @t108))) % 17.60/17.81 (step @p136 :rule cnf_and_pos :args (@t106 1)) % 17.60/17.81 (step @p137 :rule reordering :premises (@p136) :args ((or @t104 @t108))) % 17.60/17.81 (step @p138 :rule instantiate :premises (@p24) :args ((@list @t51 @t97 @t74))) % 17.60/17.81 (step @p139 :rule cnf_or_pos :args (@t111)) % 17.60/17.81 (step @p140 :rule reordering :premises (@p139) :args ((or @t99 @t109 @t110 (not @t111)))) % 17.60/17.81 (step @p141 :rule instantiate :premises (@p24) :args ((@list @t49 @t97 @t74))) % 17.60/17.81 (step @p142 :rule cnf_or_pos :args (@t114)) % 17.60/17.81 (step @p143 :rule reordering :premises (@p142) :args ((or @t99 @t112 @t113 (not @t114)))) % 17.60/17.81 (step @p144 :rule instantiate :premises (@p9) :args (@t115)) % 17.60/17.81 (step @p145 :rule cnf_equiv_pos2 :args (@t117)) % 17.60/17.81 (step @p146 :rule reordering :premises (@p145) :args ((or @t116 (not @t70) (not @t117)))) % 17.60/17.81 (step @p147 :rule cnf_or_pos :args (@t119)) % 17.60/17.81 (step @p148 :rule reordering :premises (@p147) :args ((or @t71 @t118 (not @t119)))) % 17.60/17.81 (assume-push @p721 @t120) % 17.60/17.81 (step @p150 :rule instantiate :premises (@p721) :args (@t68)) % 17.60/17.81 (step-pop @p722 :rule scope :premises (@p150)) % 17.60/17.81 (step @p151 :rule process_scope :premises (@p722) :args (@t119)) % 17.60/17.81 (step @p153 :rule implies_elim :premises (@p151)) % 17.60/17.81 (step @p154 :rule instantiate :premises (@p34) :args (@t115)) % 17.60/17.81 (step @p155 :rule bool-double-not-elim :args (@t120)) % 17.60/17.81 (step @p156 :rule refl :args (@t90)) % 17.60/17.81 (step @p157 :rule refl :args (@t123)) % 17.60/17.81 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155) :args ((or @t123 @t90 (not @t121)))) % 17.60/17.81 (step @p159 :rule cnf_equiv_pos2 :args (@t122)) % 17.60/17.81 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 17.60/17.81 (step @p161 :rule reordering :premises (@p160) :args ((or @t90 @t120 @t123))) % 17.60/17.81 (step @p162 :rule cnf_or_pos :args (@t92)) % 17.60/17.81 (step @p163 :rule reordering :premises (@p162) :args ((or @t89 @t91 @t124))) % 17.60/17.81 (step @p164 :rule aci_norm :args ((= (or (or @t19 @t15) @t10) (or @t19 @t15 @t10)))) % 17.60/17.81 (step @p165 :rule refl :args (@t10)) % 17.60/17.81 (step @p166 :rule bool-and-de-morgan :args (@t6 @t11 true)) % 17.60/17.81 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t12) @t10))) % 17.60/17.81 (step @p168 :rule trans :premises (@p167 @p164)) % 17.60/17.81 (step @p169 :rule bool-impl-elim :args (@t12 @t10)) % 17.60/17.81 (step @p170 :rule trans :premises (@p169 @p168)) % 17.60/17.81 (step @p171 :rule cong :premises (@p170) :args (@t14)) % 17.60/17.81 (step @p172 :rule eq_resolve :premises (@p3 @p171)) % 17.60/17.81 (step @p173 :rule instantiate :premises (@p172) :args (@t125)) % 17.60/17.81 (step @p174 :rule cnf_or_pos :args (@t129)) % 17.60/17.81 (step @p175 :rule reordering :premises (@p174) :args ((or @t128 @t127 @t126 (not @t129)))) % 17.60/17.81 (step @p176 :rule refl :args (@t131)) % 17.60/17.81 (step @p177 :rule refl :args (@t132)) % 17.60/17.81 (step @p178 :rule bool-double-not-elim :args (@t76)) % 17.60/17.81 (step @p179 :rule nary_cong :premises (@p178 @p177 @p176) :args ((or @t134 @t132 @t131))) % 17.60/17.81 (assume-push @p723 @t133) % 17.60/17.81 (assume-push @p724 @t126) % 17.60/17.81 (assume-push @p725 @t133) % 17.60/17.81 (assume-push @p726 @t126) % 17.60/17.81 (step @p184 :rule false_intro :premises (@p723)) % 17.60/17.81 (step @p185 :rule refl :args (@t49)) % 17.60/17.81 (step @p56 :rule refl :args (@t51)) % 17.60/17.81 (step @p186 :rule cong :premises (@p56 @p185 @p724) :args (@t130)) % 17.60/17.81 (step @p187 :rule trans :premises (@p186 @p184)) % 17.60/17.81 (step @p188 :rule false_elim :premises (@p187)) % 17.60/17.81 (step-pop @p727 :rule scope :premises (@p188)) % 17.60/17.81 (step-pop @p728 :rule scope :premises (@p727)) % 17.60/17.81 (step @p189 :rule process_scope :premises (@p728) :args (@t131)) % 17.60/17.81 (step @p192 :rule and_intro :premises (@p723 @p724)) % 17.60/17.81 (step @p193 :rule modus_ponens :premises (@p192 @p189)) % 17.60/17.81 (step-pop @p729 :rule scope :premises (@p193)) % 17.60/17.81 (step-pop @p730 :rule scope :premises (@p729)) % 17.60/17.81 (step @p194 :rule process_scope :premises (@p730) :args (@t131)) % 17.60/17.81 (step @p197 :rule implies_elim :premises (@p194)) % 17.60/17.81 (step @p198 :rule cnf_and_neg :args (@t135)) % 17.60/17.81 (step @p199 :rule resolution :premises (@p198 @p197) :args (true @t135)) % 17.60/17.81 (step @p200 :rule eq_resolve :premises (@p199 @p179)) % 17.60/17.81 (step @p201 :rule instantiate :premises (@p10) :args (@t115)) % 17.60/17.81 (step @p202 :rule cnf_equiv_pos2 :args (@t137)) % 17.60/17.81 (step @p203 :rule reordering :premises (@p202) :args ((or @t136 (not @t72) (not @t137)))) % 17.60/17.81 (step @p204 :rule instantiate :premises (@p80) :args (@t115)) % 17.60/17.81 (step @p205 :rule cnf_equiv_pos2 :args (@t142)) % 17.60/17.81 (step @p206 :rule reordering :premises (@p205) :args ((or @t130 (not @t141) (not @t142)))) % 17.60/17.81 (step @p207 :rule cnf_and_neg :args (@t141)) % 17.60/17.81 (step @p208 :rule refl :args (@t148)) % 17.60/17.81 (step @p209 :rule bool-double-not-elim :args (@t140)) % 17.60/17.81 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or (not @t149) @t148))) % 17.60/17.81 (assume-push @p731 @t149) % 17.60/17.81 (step @p212 :rule skolemize :premises (@p731)) % 17.60/17.81 (step-pop @p732 :rule scope :premises (@p212)) % 17.60/17.81 (step @p213 :rule process_scope :premises (@p732) :args (@t148)) % 17.60/17.81 (step @p215 :rule implies_elim :premises (@p213)) % 17.60/17.81 (step @p216 :rule eq_resolve :premises (@p215 @p210)) % 17.60/17.81 (step @p217 :rule bool-double-not-elim :args (@t145)) % 17.60/17.81 (step @p218 :rule refl :args (@t147)) % 17.60/17.81 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t147 (not @t146)))) % 17.60/17.81 (step @p220 :rule cnf_or_neg :args (@t147 0)) % 17.60/17.81 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 17.60/17.81 (step @p222 :rule reordering :premises (@p221) :args ((or @t145 @t147))) % 17.60/17.81 (step @p223 :rule cnf_or_neg :args (@t147 1)) % 17.60/17.81 (step @p224 :rule instantiate :premises (@p10) :args ((@list @t51 @t49 @t143))) % 17.60/17.81 (step @p225 :rule cnf_equiv_pos1 :args (@t151)) % 17.60/17.81 (step @p226 :rule reordering :premises (@p225) :args ((or @t146 @t150 (not @t151)))) % 17.60/17.81 (step @p227 :rule refl :args (@t152)) % 17.60/17.81 (step @p228 :rule bool-double-not-elim :args (@t144)) % 17.60/17.81 (step @p229 :rule refl :args (@t153)) % 17.60/17.81 (step @p230 :rule nary_cong :premises (@p229 @p228 @p227) :args ((or @t153 (not @t154) @t152))) % 17.60/17.81 (assume-push @p733 @t66) % 17.60/17.81 (assume-push @p734 @t154) % 17.60/17.81 (assume-push @p735 @t154) % 17.60/17.81 (assume-push @p736 @t66) % 17.60/17.81 (step @p235 :rule false_intro :premises (@p734)) % 17.60/17.81 (step @p236 :rule refl :args (@t143)) % 17.60/17.81 (step @p237 :rule symm :premises (@p733)) % 17.60/17.81 (step @p238 :rule cong :premises (@p237 @p236) :args (@t150)) % 17.60/17.81 (step @p239 :rule trans :premises (@p238 @p235)) % 17.60/17.81 (step @p240 :rule false_elim :premises (@p239)) % 17.60/17.81 (step-pop @p737 :rule scope :premises (@p240)) % 17.60/17.81 (step-pop @p738 :rule scope :premises (@p737)) % 17.60/17.81 (step @p241 :rule process_scope :premises (@p738) :args (@t152)) % 17.60/17.81 (step @p244 :rule and_intro :premises (@p734 @p733)) % 17.60/17.81 (step @p245 :rule modus_ponens :premises (@p244 @p241)) % 17.60/17.81 (step-pop @p739 :rule scope :premises (@p245)) % 17.60/17.81 (step-pop @p740 :rule scope :premises (@p739)) % 17.60/17.81 (step @p246 :rule process_scope :premises (@p740) :args (@t152)) % 17.60/17.81 (step @p249 :rule implies_elim :premises (@p246)) % 17.60/17.81 (step @p250 :rule cnf_and_neg :args (@t155)) % 17.60/17.81 (step @p251 :rule resolution :premises (@p250 @p249) :args (true @t155)) % 17.60/17.81 (step @p252 :rule eq_resolve :premises (@p251 @p230)) % 17.60/17.81 (step @p253 :rule chain_m_resolution :premises (@p252 @p226 @p224 @p223 @p222 @p216 @p207 @p206 @p204 @p203 @p201 @p200 @p71 @p48 @p175 @p173 @p163 @p161 @p154 @p153 @p148 @p48 @p146 @p144 @p50 @p48 @p47 @p45) :args ((or @t76 @t64 @t128 @t124) (@list false false true false true true true false false false true false false false false false false false true true false false false false false false false) (@list @t150 @t151 @t144 @t145 @t147 @t140 @t141 @t142 @t136 @t137 @t130 @t72 @t69 @t126 @t129 @t89 @t90 @t122 @t120 @t119 @t69 @t116 @t117 @t70 @t69 @t66 @t67))) % 17.60/17.81 (step @p254 :rule cnf_or_pos :args (@t157)) % 17.60/17.81 (step @p255 :rule reordering :premises (@p254) :args ((or @t156 @t63 (not @t157)))) % 17.60/17.81 (step @p256 :rule cnf_and_neg :args (@t159)) % 17.60/17.81 (step @p257 :rule reordering :premises (@p256) :args ((or @t161 @t160 @t159))) % 17.60/17.81 (step @p258 :rule refl :args (@t19)) % 17.60/17.81 (step @p259 :rule eq-symm :args (@t16 @t4)) % 17.60/17.81 (step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t20)) % 17.60/17.81 (step @p261 :rule cong :premises (@p260) :args (@t21)) % 17.60/17.81 (step @p262 :rule eq_resolve :premises (@p8 @p261)) % 17.60/17.81 (step @p263 :rule instantiate :premises (@p262) :args (@t62)) % 17.60/17.81 (step @p264 :rule cnf_or_pos :args (@t163)) % 17.60/17.81 (step @p265 :rule reordering :premises (@p264) :args ((or @t161 @t162 (not @t163)))) % 17.60/17.81 (step @p266 :rule cnf_equiv_pos2 :args (@t165)) % 17.60/17.81 (step @p267 :rule reordering :premises (@p266) :args ((or @t164 (not @t159) (not @t165)))) % 17.60/17.81 (step @p268 :rule cnf_or_pos :args (@t167)) % 17.60/17.81 (step @p269 :rule reordering :premises (@p268) :args ((or @t160 @t166 @t168))) % 17.60/17.81 (assume-push @p741 @t169) % 17.60/17.81 (step @p271 :rule instantiate :premises (@p741) :args (@t61)) % 17.60/17.81 (step-pop @p742 :rule scope :premises (@p271)) % 17.60/17.81 (step @p272 :rule process_scope :premises (@p742) :args (@t167)) % 17.60/17.81 (step @p274 :rule implies_elim :premises (@p272)) % 17.60/17.81 (step @p275 :rule bool-double-not-elim :args (@t169)) % 17.60/17.81 (step @p276 :rule refl :args (@t94)) % 17.60/17.81 (step @p277 :rule refl :args (@t172)) % 17.60/17.81 (step @p278 :rule nary_cong :premises (@p277 @p276 @p275) :args ((or @t172 @t94 @t173))) % 17.60/17.81 (step @p279 :rule cnf_equiv_pos2 :args (@t171)) % 17.60/17.81 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 17.60/17.81 (step @p281 :rule reordering :premises (@p280) :args ((or @t94 @t169 @t172))) % 17.60/17.81 (step @p282 :rule cnf_or_pos :args (@t96)) % 17.60/17.81 (step @p283 :rule reordering :premises (@p282) :args ((or @t93 @t95 (not @t96)))) % 17.60/17.81 (step @p284 :rule instantiate :premises (@p172) :args ((@list @t49 @t74))) % 17.60/17.81 (step @p285 :rule cnf_or_pos :args (@t177)) % 17.60/17.81 (step @p286 :rule reordering :premises (@p285) :args ((or @t175 @t176 @t174 (not @t177)))) % 17.60/17.81 (assume-push @p743 @t158) % 17.60/17.81 (assume-push @p744 @t162) % 17.60/17.81 (assume-push @p745 @t158) % 17.60/17.81 (assume-push @p746 @t162) % 17.60/17.81 (step @p291 :rule true_intro :premises (@p38)) % 17.60/17.81 (step @p185 :rule refl :args (@t49)) % 17.60/17.81 (step @p292 :rule symm :premises (@p744)) % 17.60/17.81 (step @p293 :rule cong :premises (@p292 @p185) :args (@t178)) % 17.60/17.81 (step @p294 :rule trans :premises (@p293 @p291)) % 17.60/17.81 (step @p295 :rule true_elim :premises (@p294)) % 17.60/17.81 (step-pop @p747 :rule scope :premises (@p295)) % 17.60/17.81 (step-pop @p748 :rule scope :premises (@p747)) % 17.60/17.81 (step @p296 :rule process_scope :premises (@p748) :args (@t178)) % 17.60/17.81 (step @p299 :rule and_intro :premises (@p38 @p744)) % 17.60/17.81 (step @p300 :rule modus_ponens :premises (@p299 @p296)) % 17.60/17.81 (step-pop @p749 :rule scope :premises (@p300)) % 17.60/17.81 (step-pop @p750 :rule scope :premises (@p749)) % 17.60/17.81 (step @p301 :rule process_scope :premises (@p750) :args (@t178)) % 17.60/17.81 (step @p304 :rule implies_elim :premises (@p301)) % 17.60/17.81 (step @p305 :rule cnf_and_neg :args (@t179)) % 17.60/17.81 (step @p306 :rule resolution :premises (@p305 @p304) :args (true @t179)) % 17.60/17.81 (step @p307 :rule reordering :premises (@p306) :args ((or @t160 @t178 @t180))) % 17.60/17.81 (step @p308 :rule refl :args (@t182)) % 17.60/17.81 (step @p309 :rule refl :args (@t183)) % 17.60/17.81 (step @p310 :rule nary_cong :premises (@p178 @p309 @p308) :args ((or @t134 @t183 @t182))) % 17.60/17.81 (assume-push @p751 @t133) % 17.60/17.81 (assume-push @p752 @t174) % 17.60/17.81 (assume-push @p753 @t133) % 17.60/17.81 (assume-push @p754 @t174) % 17.60/17.81 (step @p315 :rule false_intro :premises (@p751)) % 17.60/17.81 (step @p185 :rule refl :args (@t49)) % 17.60/17.81 (step @p56 :rule refl :args (@t51)) % 17.60/17.81 (step @p316 :rule cong :premises (@p56 @p185 @p752) :args (@t181)) % 17.60/17.81 (step @p317 :rule trans :premises (@p316 @p315)) % 17.60/17.81 (step @p318 :rule false_elim :premises (@p317)) % 17.60/17.81 (step-pop @p755 :rule scope :premises (@p318)) % 17.60/17.81 (step-pop @p756 :rule scope :premises (@p755)) % 17.60/17.81 (step @p319 :rule process_scope :premises (@p756) :args (@t182)) % 17.60/17.81 (step @p322 :rule and_intro :premises (@p751 @p752)) % 17.60/17.81 (step @p323 :rule modus_ponens :premises (@p322 @p319)) % 17.60/17.81 (step-pop @p757 :rule scope :premises (@p323)) % 17.60/17.81 (step-pop @p758 :rule scope :premises (@p757)) % 17.60/17.81 (step @p324 :rule process_scope :premises (@p758) :args (@t182)) % 17.60/17.81 (step @p327 :rule implies_elim :premises (@p324)) % 17.60/17.81 (step @p328 :rule cnf_and_neg :args (@t184)) % 17.60/17.81 (step @p329 :rule resolution :premises (@p328 @p327) :args (true @t184)) % 17.60/17.81 (step @p330 :rule eq_resolve :premises (@p329 @p310)) % 17.60/17.81 (step @p331 :rule instantiate :premises (@p10) :args (@t60)) % 17.60/17.81 (step @p332 :rule cnf_equiv_pos2 :args (@t186)) % 17.60/17.81 (step @p333 :rule reordering :premises (@p332) :args ((or @t185 (not @t178) (not @t186)))) % 17.60/17.81 (step @p334 :rule instantiate :premises (@p80) :args (@t60)) % 17.60/17.81 (step @p335 :rule cnf_equiv_pos2 :args (@t189)) % 17.60/17.81 (step @p336 :rule reordering :premises (@p335) :args ((or @t181 (not @t188) (not @t189)))) % 17.60/17.81 (step @p337 :rule cnf_and_neg :args (@t188)) % 17.60/17.81 (step @p338 :rule refl :args (@t195)) % 17.60/17.81 (step @p339 :rule bool-double-not-elim :args (@t187)) % 17.60/17.81 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or (not @t196) @t195))) % 17.60/17.81 (assume-push @p759 @t196) % 17.60/17.81 (step @p342 :rule skolemize :premises (@p759)) % 17.60/17.81 (step-pop @p760 :rule scope :premises (@p342)) % 17.60/17.81 (step @p343 :rule process_scope :premises (@p760) :args (@t195)) % 17.60/17.81 (step @p345 :rule implies_elim :premises (@p343)) % 17.60/17.81 (step @p346 :rule eq_resolve :premises (@p345 @p340)) % 17.60/17.81 (step @p347 :rule bool-double-not-elim :args (@t192)) % 17.60/17.81 (step @p348 :rule refl :args (@t194)) % 17.60/17.81 (step @p349 :rule nary_cong :premises (@p348 @p347) :args ((or @t194 (not @t193)))) % 17.60/17.81 (step @p350 :rule cnf_or_neg :args (@t194 0)) % 17.60/17.81 (step @p351 :rule eq_resolve :premises (@p350 @p349)) % 17.60/17.81 (step @p352 :rule reordering :premises (@p351) :args ((or @t192 @t194))) % 17.60/17.81 (step @p353 :rule cnf_or_neg :args (@t194 1)) % 17.60/17.81 (step @p354 :rule instantiate :premises (@p10) :args ((@list @t51 @t49 @t190))) % 17.60/17.81 (step @p355 :rule cnf_equiv_pos1 :args (@t198)) % 17.60/17.81 (step @p356 :rule reordering :premises (@p355) :args ((or @t193 @t197 (not @t198)))) % 17.60/17.81 (step @p357 :rule refl :args (@t199)) % 17.60/17.81 (step @p358 :rule bool-double-not-elim :args (@t191)) % 17.60/17.81 (step @p359 :rule refl :args (@t180)) % 17.60/17.81 (step @p360 :rule nary_cong :premises (@p359 @p358 @p357) :args ((or @t180 (not @t200) @t199))) % 17.60/17.81 (assume-push @p761 @t162) % 17.60/17.81 (assume-push @p762 @t200) % 17.60/17.81 (assume-push @p763 @t200) % 17.60/17.81 (assume-push @p764 @t162) % 17.60/17.81 (step @p365 :rule false_intro :premises (@p762)) % 17.60/17.81 (step @p366 :rule refl :args (@t190)) % 17.60/17.81 (step @p367 :rule symm :premises (@p761)) % 17.60/17.81 (step @p368 :rule cong :premises (@p367 @p366) :args (@t197)) % 17.60/17.81 (step @p369 :rule trans :premises (@p368 @p365)) % 17.60/17.81 (step @p370 :rule false_elim :premises (@p369)) % 17.60/17.81 (step-pop @p765 :rule scope :premises (@p370)) % 17.60/17.81 (step-pop @p766 :rule scope :premises (@p765)) % 17.60/17.81 (step @p371 :rule process_scope :premises (@p766) :args (@t199)) % 17.60/17.81 (step @p374 :rule and_intro :premises (@p762 @p761)) % 17.60/17.81 (step @p375 :rule modus_ponens :premises (@p374 @p371)) % 17.60/17.81 (step-pop @p767 :rule scope :premises (@p375)) % 17.60/17.81 (step-pop @p768 :rule scope :premises (@p767)) % 17.60/17.81 (step @p376 :rule process_scope :premises (@p768) :args (@t199)) % 17.60/17.81 (step @p379 :rule implies_elim :premises (@p376)) % 17.60/17.81 (step @p380 :rule cnf_and_neg :args (@t201)) % 17.60/17.81 (step @p381 :rule resolution :premises (@p380 @p379) :args (true @t201)) % 17.60/17.81 (step @p382 :rule eq_resolve :premises (@p381 @p360)) % 17.60/17.81 (step @p383 :rule reordering :premises (@p382) :args ((or @t191 @t180 @t199))) % 17.60/17.81 (step @p384 :rule chain_m_resolution :premises (@p383 @p356 @p354 @p353 @p352 @p346 @p337 @p336 @p334 @p333 @p331 @p330 @p307 @p38 @p286 @p284 @p283 @p281 @p36 @p274 @p269 @p38 @p267 @p37 @p265 @p263 @p257 @p38 @p255 @p39 @p253 @p143 @p141 @p140 @p138 @p137 @p135 @p133 @p131 @p130 @p125 @p119 @p110 @p105 @p100 @p98 @p97 @p95 @p93 @p91 @p83 @p82) :args (@t84 (@list false false true false true true true false false false true false false false false false false false true true false false false false false false false false false true false false false false false false false false false false true false false true false false false false false true true) (@list @t197 @t198 @t191 @t192 @t194 @t187 @t188 @t189 @t185 @t186 @t181 @t178 @t158 @t174 @t177 @t93 @t94 @t171 @t169 @t167 @t158 @t164 @t165 @t162 @t163 @t159 @t158 @t156 @t157 @t63 @t112 @t114 @t109 @t111 @t104 @t105 @t106 @t107 @t98 @t100 @t102 @t96 @t92 @t86 @t88 @t80 @t81 @t82 @t83 @t76 @t78))) % 17.60/17.81 (step @p385 :rule cnf_equiv_neg1 :args (@t78)) % 17.60/17.81 (step @p386 :rule reordering :premises (@p385) :args ((or @t77 @t76 @t78))) % 17.60/17.81 (step @p387 :rule chain_m_resolution :premises (@p386 @p384 @p82) :args (@t76 (@list true true) (@list @t77 @t78))) % 17.60/17.81 (step @p388 :rule cnf_equiv_pos1 :args (@t205)) % 17.60/17.81 (step @p389 :rule reordering :premises (@p388) :args ((or @t133 @t204 (not @t205)))) % 17.60/17.81 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p81) :args (@t204 @t206 (@list @t76 @t205))) % 17.60/17.81 (step @p391 :rule cnf_and_pos :args (@t204 0)) % 17.60/17.81 (step @p392 :rule reordering :premises (@p391) :args ((or @t203 @t207))) % 17.60/17.81 (step @p393 :rule chain_m_resolution :premises (@p392 @p390) :args (@t203 @t208 @t209)) % 17.60/17.81 (step @p394 :rule cnf_equiv_pos1 :args (@t211)) % 17.60/17.81 (step @p395 :rule reordering :premises (@p394) :args ((or (not @t203) @t210 (not @t211)))) % 17.60/17.81 (step @p396 :rule chain_m_resolution :premises (@p395 @p393 @p72) :args (@t210 @t206 (@list @t203 @t211))) % 17.60/17.81 (assume-push @p769 @t66) % 17.60/17.81 (assume-push @p770 @t210) % 17.60/17.81 (assume-push @p771 @t210) % 17.60/17.81 (assume-push @p772 @t66) % 17.60/17.81 (step @p401 :rule true_intro :premises (@p770)) % 17.60/17.81 (step @p402 :rule refl :args (@t74)) % 17.60/17.81 (step @p403 :rule cong :premises (@p769 @p402) :args (@t109)) % 17.60/17.81 (step @p404 :rule trans :premises (@p403 @p401)) % 17.60/17.81 (step @p405 :rule true_elim :premises (@p404)) % 17.60/17.81 (step-pop @p773 :rule scope :premises (@p405)) % 17.60/17.81 (step-pop @p774 :rule scope :premises (@p773)) % 17.60/17.81 (step @p406 :rule process_scope :premises (@p774) :args (@t109)) % 17.60/17.81 (step @p409 :rule and_intro :premises (@p770 @p769)) % 17.60/17.81 (step @p410 :rule modus_ponens :premises (@p409 @p406)) % 17.60/17.81 (step-pop @p775 :rule scope :premises (@p410)) % 17.60/17.81 (step-pop @p776 :rule scope :premises (@p775)) % 17.60/17.81 (step @p411 :rule process_scope :premises (@p776) :args (@t109)) % 17.60/17.81 (step @p414 :rule implies_elim :premises (@p411)) % 17.60/17.81 (step @p415 :rule cnf_and_neg :args (@t212)) % 17.60/17.81 (step @p416 :rule resolution :premises (@p415 @p414) :args (true @t212)) % 17.60/17.81 (step @p417 :rule reordering :premises (@p416) :args ((or @t109 @t153 @t213))) % 17.60/17.81 (step @p418 :rule instantiate :premises (@p262) :args (@t125)) % 17.60/17.81 (step @p419 :rule cnf_or_pos :args (@t216)) % 17.60/17.81 (step @p420 :rule reordering :premises (@p419) :args ((or @t128 @t215 (not @t216)))) % 17.60/17.81 (step @p421 :rule cnf_and_pos :args (@t204 1)) % 17.60/17.81 (step @p422 :rule reordering :premises (@p421) :args ((or @t202 @t207))) % 17.60/17.81 (step @p423 :rule chain_m_resolution :premises (@p422 @p390) :args (@t202 @t208 @t209)) % 17.60/17.81 (assume-push @p777 @t202) % 17.60/17.81 (step @p425 :rule instantiate :premises (@p777) :args (@t68)) % 17.60/17.81 (step-pop @p778 :rule scope :premises (@p425)) % 17.60/17.81 (step @p426 :rule process_scope :premises (@p778) :args (@t218)) % 17.60/17.81 (step @p428 :rule implies_elim :premises (@p426)) % 17.60/17.81 (step @p429 :rule chain_m_resolution :premises (@p428 @p423) :args (@t218 @t208 @t219)) % 17.60/17.81 (step @p430 :rule cnf_or_pos :args (@t218)) % 17.60/17.81 (step @p431 :rule reordering :premises (@p430) :args ((or @t89 @t217 (not @t218)))) % 17.60/17.81 (step @p432 :rule instantiate :premises (@p44) :args (@t125)) % 17.60/17.81 (step @p433 :rule cnf_or_pos :args (@t221)) % 17.60/17.81 (step @p434 :rule reordering :premises (@p433) :args ((or @t127 @t220 (not @t221)))) % 17.60/17.81 (step @p435 :rule bool-double-not-elim :args (@t224)) % 17.60/17.81 (step @p436 :rule refl :args (@t227)) % 17.60/17.81 (step @p437 :rule nary_cong :premises (@p436 @p435) :args ((or @t227 (not @t226)))) % 17.60/17.81 (step @p438 :rule cnf_or_neg :args (@t227 0)) % 17.60/17.81 (step @p439 :rule eq_resolve :premises (@p438 @p437)) % 17.60/17.81 (step @p440 :rule reordering :premises (@p439) :args ((or @t224 @t227))) % 17.60/17.81 (step @p441 :rule cnf_or_neg :args (@t227 1)) % 17.60/17.81 (step @p442 :rule instantiate :premises (@p34) :args ((@list @t51 @t49 @t223))) % 17.60/17.81 (step @p443 :rule cnf_equiv_pos1 :args (@t230)) % 17.60/17.81 (step @p444 :rule reordering :premises (@p443) :args ((or @t226 @t229 (not @t230)))) % 17.60/17.81 (step @p445 :rule refl :args (@t237)) % 17.60/17.81 (step @p446 :rule bool-double-not-elim :args (@t228)) % 17.60/17.81 (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or (not @t229) @t237))) % 17.60/17.81 (assume-push @p779 @t229) % 17.60/17.81 (step @p449 :rule skolemize :premises (@p779)) % 17.60/17.81 (step-pop @p780 :rule scope :premises (@p449)) % 17.60/17.81 (step @p450 :rule process_scope :premises (@p780) :args (@t237)) % 17.60/17.81 (step @p452 :rule implies_elim :premises (@p450)) % 17.60/17.81 (step @p453 :rule eq_resolve :premises (@p452 @p447)) % 17.60/17.81 (step @p454 :rule bool-double-not-elim :args (@t234)) % 17.60/17.81 (step @p455 :rule refl :args (@t236)) % 17.60/17.81 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t236 (not @t235)))) % 17.60/17.81 (step @p457 :rule cnf_or_neg :args (@t236 0)) % 17.60/17.81 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 17.60/17.81 (step @p459 :rule reordering :premises (@p458) :args ((or @t234 @t236))) % 17.60/17.81 (step @p460 :rule bool-double-not-elim :args (@t232)) % 17.60/17.81 (step @p461 :rule nary_cong :premises (@p455 @p460) :args ((or @t236 (not @t233)))) % 17.60/17.81 (step @p462 :rule cnf_or_neg :args (@t236 1)) % 17.60/17.81 (step @p463 :rule eq_resolve :premises (@p462 @p461)) % 17.60/17.81 (step @p464 :rule reordering :premises (@p463) :args ((or @t232 @t236))) % 17.60/17.81 (step @p465 :rule instantiate :premises (@p9) :args ((@list @t51 @t49 @t231))) % 17.60/17.81 (step @p466 :rule cnf_equiv_pos1 :args (@t240)) % 17.60/17.81 (step @p467 :rule reordering :premises (@p466) :args ((or @t235 @t239 (not @t240)))) % 17.60/17.81 (step @p468 :rule instantiate :premises (@p24) :args ((@list @t51 @t231 @t223))) % 17.60/17.81 (step @p469 :rule cnf_or_pos :args (@t242)) % 17.60/17.81 (step @p470 :rule reordering :premises (@p469) :args ((or @t225 @t233 @t241 (not @t242)))) % 17.60/17.81 (step @p471 :rule cnf_and_pos :args (@t239 0)) % 17.60/17.81 (step @p472 :rule reordering :premises (@p471) :args ((or @t238 (not @t239)))) % 17.60/17.81 (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p468 @p467 @p465 @p464 @p459 @p453 @p444 @p442 @p441 @p440) :args (@t227 (@list true false false false false false true true false true false) (@list @t238 @t242 @t239 @t240 @t232 @t234 @t236 @t228 @t230 @t225 @t224))) % 17.60/17.81 (step @p474 :rule refl :args (@t243)) % 17.60/17.81 (step @p475 :rule bool-double-not-elim :args (@t222)) % 17.60/17.81 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or (not @t244) @t243))) % 17.60/17.81 (assume-push @p781 @t244) % 17.60/17.81 (step @p478 :rule skolemize :premises (@p781)) % 17.60/17.81 (step-pop @p782 :rule scope :premises (@p478)) % 17.60/17.81 (step @p479 :rule process_scope :premises (@p782) :args (@t243)) % 17.60/17.81 (step @p481 :rule implies_elim :premises (@p479)) % 17.60/17.81 (step @p482 :rule eq_resolve :premises (@p481 @p476)) % 17.60/17.81 (step @p483 :rule chain_m_resolution :premises (@p482 @p473) :args (@t222 @t208 (@list @t227))) % 17.60/17.81 (step @p484 :rule cnf_and_neg :args (@t245)) % 17.60/17.81 (step @p485 :rule instantiate :premises (@p90) :args (@t115)) % 17.60/17.81 (step @p486 :rule cnf_equiv_pos2 :args (@t247)) % 17.60/17.81 (step @p487 :rule reordering :premises (@p486) :args ((or @t246 (not @t245) (not @t247)))) % 17.60/17.81 (step @p488 :rule refl :args (@t248)) % 17.60/17.81 (step @p489 :rule refl :args (@t249)) % 17.60/17.81 (step @p490 :rule refl :args (@t250)) % 17.60/17.82 (step @p491 :rule bool-double-not-elim :args (@t77)) % 17.60/17.82 (step @p492 :rule nary_cong :premises (@p491 @p490 @p489 @p488) :args ((or @t251 @t250 @t249 @t248))) % 17.60/17.82 (assume-push @p783 @t84) % 17.60/17.82 (assume-push @p784 @t220) % 17.60/17.82 (assume-push @p785 @t215) % 17.60/17.82 (assume-push @p786 @t84) % 17.60/17.82 (assume-push @p787 @t215) % 17.60/17.82 (assume-push @p788 @t220) % 17.60/17.82 (step @p499 :rule false_intro :premises (@p783)) % 17.60/17.82 (step @p500 :rule symm :premises (@p785)) % 17.60/17.82 (step @p501 :rule trans :premises (@p784 @p500)) % 17.60/17.82 (step @p185 :rule refl :args (@t49)) % 17.60/17.82 (step @p56 :rule refl :args (@t51)) % 17.60/17.82 (step @p502 :rule cong :premises (@p56 @p185 @p501) :args (@t246)) % 17.60/17.82 (step @p503 :rule trans :premises (@p502 @p499)) % 17.60/17.82 (step @p504 :rule false_elim :premises (@p503)) % 17.60/17.82 (step-pop @p789 :rule scope :premises (@p504)) % 17.60/17.82 (step-pop @p790 :rule scope :premises (@p789)) % 17.60/17.82 (step-pop @p791 :rule scope :premises (@p790)) % 17.60/17.82 (step @p505 :rule process_scope :premises (@p791) :args (@t248)) % 17.60/17.82 (step @p509 :rule and_intro :premises (@p783 @p785 @p784)) % 17.60/17.82 (step @p510 :rule modus_ponens :premises (@p509 @p505)) % 17.60/17.82 (step-pop @p792 :rule scope :premises (@p510)) % 17.60/17.82 (step-pop @p793 :rule scope :premises (@p792)) % 17.60/17.82 (step-pop @p794 :rule scope :premises (@p793)) % 17.60/17.82 (step @p511 :rule process_scope :premises (@p794) :args (@t248)) % 17.60/17.82 (step @p515 :rule implies_elim :premises (@p511)) % 17.60/17.82 (step @p516 :rule cnf_and_neg :args (@t252)) % 17.60/17.82 (step @p517 :rule resolution :premises (@p516 @p515) :args (true @t252)) % 17.60/17.82 (step @p518 :rule eq_resolve :premises (@p517 @p492)) % 17.60/17.82 (step @p519 :rule reordering :premises (@p518) :args ((or @t77 @t248 @t250 @t249))) % 17.60/17.82 (step @p520 :rule chain_m_resolution :premises (@p519 @p384 @p487 @p485 @p484 @p483 @p161 @p154 @p434 @p432 @p153 @p431 @p429 @p148 @p48 @p420 @p418 @p203 @p201 @p146 @p144 @p417 @p396 @p71 @p48 @p50 @p48 @p47 @p45) :args (@t64 (@list true false false false false false false false false true false false true false false false false false false false false false false false false false false false) (@list @t77 @t246 @t247 @t245 @t222 @t90 @t122 @t220 @t221 @t120 @t89 @t218 @t119 @t69 @t215 @t216 @t136 @t137 @t116 @t117 @t109 @t210 @t72 @t69 @t70 @t69 @t66 @t67))) % 17.60/17.82 (step @p521 :rule chain_m_resolution :premises (@p255 @p520 @p39) :args (@t156 @t253 (@list @t63 @t157))) % 17.60/17.82 (step @p522 :rule chain_m_resolution :premises (@p257 @p521 @p38) :args (@t159 @t206 (@list @t156 @t158))) % 17.60/17.82 (step @p523 :rule chain_m_resolution :premises (@p267 @p522 @p37) :args (@t164 @t206 (@list @t159 @t165))) % 17.60/17.82 (step @p524 :rule chain_m_resolution :premises (@p269 @p38 @p523) :args (@t168 @t206 (@list @t158 @t164))) % 17.60/17.82 (step @p525 :rule chain_m_resolution :premises (@p274 @p524) :args (@t170 @t254 (@list @t167))) % 17.60/17.82 (step @p526 :rule chain_m_resolution :premises (@p281 @p525 @p36) :args (@t94 @t253 (@list @t169 @t171))) % 17.60/17.82 (step @p527 :rule instantiate :premises (@p90) :args (@t60)) % 17.60/17.82 (step @p528 :rule chain_m_resolution :premises (@p265 @p521 @p263) :args (@t162 @t206 (@list @t156 @t163))) % 17.60/17.82 (assume-push @p795 @t162) % 17.60/17.82 (assume-push @p796 @t210) % 17.60/17.82 (assume-push @p797 @t210) % 17.60/17.82 (assume-push @p798 @t162) % 17.60/17.82 (step @p533 :rule true_intro :premises (@p796)) % 17.60/17.82 (step @p402 :rule refl :args (@t74)) % 17.60/17.82 (step @p534 :rule cong :premises (@p795 @p402) :args (@t112)) % 17.60/17.82 (step @p535 :rule trans :premises (@p534 @p533)) % 17.60/17.82 (step @p536 :rule true_elim :premises (@p535)) % 17.60/17.82 (step-pop @p799 :rule scope :premises (@p536)) % 17.60/17.82 (step-pop @p800 :rule scope :premises (@p799)) % 17.60/17.82 (step @p537 :rule process_scope :premises (@p800) :args (@t112)) % 17.60/17.82 (step @p540 :rule and_intro :premises (@p796 @p795)) % 17.60/17.82 (step @p541 :rule modus_ponens :premises (@p540 @p537)) % 17.60/17.82 (step-pop @p801 :rule scope :premises (@p541)) % 17.60/17.82 (step-pop @p802 :rule scope :premises (@p801)) % 17.60/17.82 (step @p542 :rule process_scope :premises (@p802) :args (@t112)) % 17.60/17.82 (step @p545 :rule implies_elim :premises (@p542)) % 17.60/17.82 (step @p546 :rule cnf_and_neg :args (@t255)) % 17.60/17.82 (step @p547 :rule resolution :premises (@p546 @p545) :args (true @t255)) % 17.60/17.82 (step @p548 :rule reordering :premises (@p547) :args ((or @t112 @t180 @t213))) % 17.60/17.82 (step @p549 :rule chain_m_resolution :premises (@p548 @p528 @p396) :args (@t112 @t206 (@list @t162 @t210))) % 17.60/17.82 (step @p550 :rule instantiate :premises (@p24) :args ((@list @t74 @t256 @t49))) % 17.60/17.82 (assume-push @p803 @t202) % 17.60/17.82 (step @p552 :rule instantiate :premises (@p803) :args ((@list @t256))) % 17.60/17.82 (step-pop @p804 :rule scope :premises (@p552)) % 17.60/17.82 (step @p553 :rule process_scope :premises (@p804) :args (@t260)) % 17.60/17.82 (step @p555 :rule implies_elim :premises (@p553)) % 17.60/17.82 (step @p556 :rule chain_m_resolution :premises (@p555 @p423) :args (@t260 @t208 @t219)) % 17.60/17.82 (step @p557 :rule instantiate :premises (@p10) :args (@t261)) % 17.60/17.82 (step @p558 :rule instantiate :premises (@p9) :args (@t261)) % 17.60/17.82 (step @p559 :rule refl :args (@t267)) % 17.60/17.82 (step @p560 :rule nary_cong :premises (@p275 @p559) :args ((or @t173 @t267))) % 17.60/17.82 (assume-push @p805 @t170) % 17.60/17.82 (step @p562 :rule skolemize :premises (@p805)) % 17.60/17.82 (step-pop @p806 :rule scope :premises (@p562)) % 17.60/17.82 (step @p563 :rule process_scope :premises (@p806) :args (@t267)) % 17.60/17.82 (step @p565 :rule implies_elim :premises (@p563)) % 17.60/17.82 (step @p566 :rule eq_resolve :premises (@p565 @p560)) % 17.60/17.82 (step @p567 :rule chain_m_resolution :premises (@p566 @p525) :args (@t267 @t254 (@list @t169))) % 17.60/17.82 (step @p568 :rule bool-double-not-elim :args (@t264)) % 17.60/17.82 (step @p569 :rule refl :args (@t266)) % 17.60/17.82 (step @p570 :rule nary_cong :premises (@p569 @p568) :args ((or @t266 (not @t265)))) % 17.60/17.82 (step @p571 :rule cnf_or_neg :args (@t266 0)) % 17.60/17.82 (step @p572 :rule eq_resolve :premises (@p571 @p570)) % 17.60/17.82 (step @p573 :rule reordering :premises (@p572) :args ((or @t264 @t266))) % 17.60/17.82 (step @p574 :rule chain_m_resolution :premises (@p573 @p567) :args (@t264 @t254 @t268)) % 17.60/17.82 (step @p575 :rule cnf_equiv_pos1 :args (@t271)) % 17.60/17.82 (step @p576 :rule reordering :premises (@p575) :args ((or @t265 @t270 (not @t271)))) % 17.60/17.82 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p558) :args (@t270 @t206 (@list @t264 @t271))) % 17.60/17.82 (step @p578 :rule cnf_and_pos :args (@t270 1)) % 17.60/17.82 (step @p579 :rule reordering :premises (@p578) :args ((or @t269 (not @t270)))) % 17.60/17.82 (step @p580 :rule chain_m_resolution :premises (@p579 @p577) :args (@t269 @t208 (@list @t270))) % 17.60/17.82 (assume-push @p807 @t162) % 17.60/17.82 (assume-push @p808 @t269) % 17.60/17.82 (assume-push @p809 @t269) % 17.60/17.82 (assume-push @p810 @t162) % 17.60/17.82 (step @p585 :rule true_intro :premises (@p808)) % 17.60/17.82 (step @p586 :rule refl :args (@t256)) % 17.60/17.82 (step @p587 :rule symm :premises (@p807)) % 17.60/17.82 (step @p588 :rule cong :premises (@p587 @p586) :args (@t272)) % 17.60/17.82 (step @p589 :rule trans :premises (@p588 @p585)) % 17.60/17.82 (step @p590 :rule true_elim :premises (@p589)) % 17.60/17.82 (step-pop @p811 :rule scope :premises (@p590)) % 17.60/17.82 (step-pop @p812 :rule scope :premises (@p811)) % 17.60/17.82 (step @p591 :rule process_scope :premises (@p812) :args (@t272)) % 17.60/17.82 (step @p594 :rule and_intro :premises (@p808 @p807)) % 17.60/17.82 (step @p595 :rule modus_ponens :premises (@p594 @p591)) % 17.60/17.82 (step-pop @p813 :rule scope :premises (@p595)) % 17.60/17.82 (step-pop @p814 :rule scope :premises (@p813)) % 17.60/17.82 (step @p596 :rule process_scope :premises (@p814) :args (@t272)) % 17.60/17.82 (step @p599 :rule implies_elim :premises (@p596)) % 17.60/17.82 (step @p600 :rule cnf_and_neg :args (@t273)) % 17.60/17.82 (step @p601 :rule resolution :premises (@p600 @p599) :args (true @t273)) % 17.60/17.82 (step @p602 :rule chain_m_resolution :premises (@p601 @p528 @p580) :args (@t272 @t206 (@list @t162 @t269))) % 17.60/17.82 (step @p603 :rule cnf_equiv_pos2 :args (@t274)) % 17.60/17.82 (step @p604 :rule reordering :premises (@p603) :args ((or @t258 (not @t272) (not @t274)))) % 17.60/17.82 (step @p605 :rule chain_m_resolution :premises (@p604 @p602 @p557) :args (@t258 @t206 (@list @t272 @t274))) % 17.60/17.82 (step @p606 :rule cnf_or_pos :args (@t260)) % 17.60/17.82 (step @p607 :rule reordering :premises (@p606) :args ((or @t259 @t257 (not @t260)))) % 17.60/17.82 (step @p608 :rule chain_m_resolution :premises (@p607 @p605 @p556) :args (@t257 @t206 (@list @t258 @t260))) % 17.60/17.82 (step @p609 :rule bool-double-not-elim :args (@t262)) % 17.60/17.82 (step @p610 :rule nary_cong :premises (@p569 @p609) :args ((or @t266 (not @t263)))) % 17.60/17.82 (step @p611 :rule cnf_or_neg :args (@t266 1)) % 17.60/17.82 (step @p612 :rule eq_resolve :premises (@p611 @p610)) % 17.60/17.82 (step @p613 :rule reordering :premises (@p612) :args ((or @t262 @t266))) % 17.60/17.82 (step @p614 :rule chain_m_resolution :premises (@p613 @p567) :args (@t262 @t254 @t268)) % 17.60/17.82 (step @p615 :rule cnf_or_pos :args (@t276)) % 17.60/17.82 (step @p616 :rule reordering :premises (@p615) :args ((or @t93 @t263 @t275 (not @t276)))) % 17.60/17.82 (step @p617 :rule chain_m_resolution :premises (@p616 @p614 @p608 @p550) :args (@t93 @t277 (@list @t262 @t257 @t276))) % 17.60/17.82 (step @p618 :rule chain_m_resolution :premises (@p286 @p617 @p549 @p284) :args (@t174 @t277 (@list @t93 @t112 @t177))) % 17.60/17.82 (step @p619 :rule refl :args (@t279)) % 17.60/17.82 (step @p620 :rule nary_cong :premises (@p491 @p309 @p619) :args ((or @t251 @t183 @t279))) % 17.60/17.82 (assume-push @p815 @t84) % 17.60/17.82 (assume-push @p816 @t174) % 17.60/17.82 (assume-push @p817 @t84) % 17.60/17.82 (assume-push @p818 @t174) % 17.60/17.82 (step @p625 :rule false_intro :premises (@p815)) % 17.60/17.82 (step @p185 :rule refl :args (@t49)) % 17.60/17.82 (step @p56 :rule refl :args (@t51)) % 17.60/17.82 (step @p626 :rule cong :premises (@p56 @p185 @p816) :args (@t278)) % 17.60/17.82 (step @p627 :rule trans :premises (@p626 @p625)) % 17.60/17.82 (step @p628 :rule false_elim :premises (@p627)) % 17.60/17.82 (step-pop @p819 :rule scope :premises (@p628)) % 17.60/17.82 (step-pop @p820 :rule scope :premises (@p819)) % 17.60/17.82 (step @p629 :rule process_scope :premises (@p820) :args (@t279)) % 17.60/17.82 (step @p632 :rule and_intro :premises (@p815 @p816)) % 17.60/17.82 (step @p633 :rule modus_ponens :premises (@p632 @p629)) % 17.60/17.82 (step-pop @p821 :rule scope :premises (@p633)) % 17.60/17.82 (step-pop @p822 :rule scope :premises (@p821)) % 17.60/17.82 (step @p634 :rule process_scope :premises (@p822) :args (@t279)) % 17.60/17.82 (step @p637 :rule implies_elim :premises (@p634)) % 17.60/17.82 (step @p638 :rule cnf_and_neg :args (@t280)) % 17.60/17.82 (step @p639 :rule resolution :premises (@p638 @p637) :args (true @t280)) % 17.60/17.82 (step @p640 :rule eq_resolve :premises (@p639 @p620)) % 17.60/17.82 (step @p641 :rule chain_m_resolution :premises (@p640 @p384 @p618) :args (@t279 @t253 (@list @t77 @t174))) % 17.60/17.82 (step @p642 :rule cnf_equiv_pos2 :args (@t282)) % 17.60/17.82 (step @p643 :rule reordering :premises (@p642) :args ((or @t278 @t283 (not @t282)))) % 17.60/17.82 (step @p644 :rule chain_m_resolution :premises (@p643 @p641 @p527) :args (@t283 @t253 (@list @t278 @t282))) % 17.60/17.82 (step @p645 :rule cnf_and_neg :args (@t281)) % 17.60/17.82 (step @p646 :rule chain_m_resolution :premises (@p645 @p644 @p526) :args (@t284 @t253 (@list @t281 @t94))) % 17.60/17.82 (step @p647 :rule refl :args (@t289)) % 17.60/17.82 (step @p648 :rule bool-double-not-elim :args (@t53)) % 17.60/17.82 (step @p649 :rule nary_cong :premises (@p648 @p647) :args ((or (not @t284) @t289))) % 17.60/17.82 (assume-push @p823 @t284) % 17.60/17.82 (step @p651 :rule skolemize :premises (@p823)) % 17.60/17.82 (step-pop @p824 :rule scope :premises (@p651)) % 17.60/17.82 (step @p652 :rule process_scope :premises (@p824) :args (@t289)) % 17.60/17.82 (step @p654 :rule implies_elim :premises (@p652)) % 17.60/17.82 (step @p655 :rule eq_resolve :premises (@p654 @p649)) % 17.60/17.82 (step @p656 :rule chain_m_resolution :premises (@p655 @p646) :args (@t289 @t254 (@list @t53))) % 17.60/17.82 (step @p657 :rule bool-double-not-elim :args (@t286)) % 17.60/17.82 (step @p658 :rule refl :args (@t288)) % 17.60/17.82 (step @p659 :rule nary_cong :premises (@p658 @p657) :args ((or @t288 (not @t287)))) % 17.60/17.82 (step @p660 :rule cnf_or_neg :args (@t288 0)) % 17.60/17.82 (step @p661 :rule eq_resolve :premises (@p660 @p659)) % 17.60/17.82 (step @p662 :rule reordering :premises (@p661) :args ((or @t286 @t288))) % 17.60/17.82 (step @p663 :rule chain_m_resolution :premises (@p662 @p656) :args (@t286 @t254 @t290)) % 17.60/17.82 (step @p664 :rule cnf_equiv_pos1 :args (@t292)) % 17.60/17.82 (step @p665 :rule reordering :premises (@p664) :args ((or @t287 @t291 (not @t292)))) % 17.60/17.82 (step @p666 :rule chain_m_resolution :premises (@p665 @p663 @p35) :args (@t291 @t206 (@list @t286 @t292))) % 17.60/17.82 (step @p667 :rule refl :args (@t298)) % 17.60/17.82 (step @p668 :rule bool-double-not-elim :args (@t56)) % 17.60/17.82 (step @p669 :rule nary_cong :premises (@p668 @p667) :args ((or (not @t291) @t298))) % 17.60/17.82 (assume-push @p825 @t291) % 17.60/17.82 (step @p671 :rule skolemize :premises (@p825)) % 17.60/17.82 (step-pop @p826 :rule scope :premises (@p671)) % 17.60/17.82 (step @p672 :rule process_scope :premises (@p826) :args (@t298)) % 17.60/17.82 (step @p674 :rule implies_elim :premises (@p672)) % 17.60/17.82 (step @p675 :rule eq_resolve :premises (@p674 @p669)) % 17.60/17.82 (step @p676 :rule chain_m_resolution :premises (@p675 @p666) :args (@t298 @t254 (@list @t56))) % 17.60/17.82 (step @p677 :rule bool-double-not-elim :args (@t295)) % 17.60/17.82 (step @p678 :rule refl :args (@t297)) % 17.60/17.82 (step @p679 :rule nary_cong :premises (@p678 @p677) :args ((or @t297 (not @t296)))) % 17.60/17.82 (step @p680 :rule cnf_or_neg :args (@t297 0)) % 17.60/17.82 (step @p681 :rule eq_resolve :premises (@p680 @p679)) % 17.60/17.82 (step @p682 :rule reordering :premises (@p681) :args ((or @t295 @t297))) % 17.60/17.82 (step @p683 :rule chain_m_resolution :premises (@p682 @p676) :args (@t295 @t254 @t299)) % 17.60/17.82 (step @p684 :rule cnf_equiv_pos1 :args (@t302)) % 17.60/17.82 (step @p685 :rule reordering :premises (@p684) :args ((or @t296 @t301 (not @t302)))) % 17.60/17.82 (step @p686 :rule chain_m_resolution :premises (@p685 @p683 @p25) :args (@t301 @t206 (@list @t295 @t302))) % 17.60/17.82 (step @p687 :rule cnf_and_pos :args (@t301 1)) % 17.60/17.82 (step @p688 :rule reordering :premises (@p687) :args ((or @t300 (not @t301)))) % 17.60/17.82 (step @p689 :rule chain_m_resolution :premises (@p688 @p686) :args (@t300 @t208 (@list @t301))) % 17.60/17.82 (step @p690 :rule bool-double-not-elim :args (@t293)) % 17.60/17.82 (step @p691 :rule nary_cong :premises (@p678 @p690) :args ((or @t297 (not @t294)))) % 17.60/17.82 (step @p692 :rule cnf_or_neg :args (@t297 1)) % 17.60/17.82 (step @p693 :rule eq_resolve :premises (@p692 @p691)) % 17.60/17.82 (step @p694 :rule reordering :premises (@p693) :args ((or @t293 @t297))) % 17.60/17.82 (step @p695 :rule chain_m_resolution :premises (@p694 @p676) :args (@t293 @t254 @t299)) % 17.60/17.82 (step @p696 :rule cnf_or_neg :args (@t288 1)) % 17.60/17.82 (step @p697 :rule chain_m_resolution :premises (@p696 @p656) :args ((not @t285) @t254 @t290)) % 17.60/17.82 (step @p698 :rule cnf_or_pos :args (@t304)) % 17.60/17.82 (step @p699 :rule reordering :premises (@p698) :args ((or @t285 @t294 @t303 @t305))) % 17.60/17.82 (step @p700 :rule chain_m_resolution :premises (@p699 @p697 @p695 @p689) :args (@t305 (@list true false false) (@list @t285 @t293 @t300))) % 17.60/17.82 (assume-push @p827 @t306) % 17.60/17.82 (step @p702 :rule instantiate :premises (@p24) :args ((@list @t49 @t57 @t54))) % 17.60/17.82 (step-pop @p828 :rule scope :premises (@p702)) % 17.60/17.82 (step @p703 :rule process_scope :premises (@p828) :args (@t304)) % 17.60/17.82 (step @p705 :rule implies_elim :premises (@p703)) % 17.60/17.82 (step @p706 false :rule chain_m_resolution :premises (@p705 @p700 @p24) :args (false @t253 (@list @t304 @t306))) % 17.60/17.82 ) % 17.60/17.82 % SZS output end Proof % 17.60/17.82 % cvc5 exiting %------------------------------------------------------------------------------