%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM861+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:40:52 AM UTC 2026 % Result : Theorem 0.63s 0.90s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM861+1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:29:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.63/0.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.90 % SZS status Theorem % 0.63/0.90 % SZS output start Proof % 0.63/0.90 ( % 0.63/0.90 (declare-sort $$unsorted 0) % 0.63/0.90 (declare-const tptp.model_ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.90 (declare-const tptp.model_max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.90 (declare-const tptp.minsol_model_ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.90 (declare-const tptp.c $$unsorted) % 0.63/0.90 (declare-const tptp.ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.90 (declare-const tptp.summation (-> $$unsorted $$unsorted)) % 0.63/0.90 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.90 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.90 (declare-const tptp.minsol_model_max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.90 (declare-const tptp.lesseq (-> $$unsorted $$unsorted Bool)) % 0.63/0.90 (define @t1 () (@var "X" $$unsorted)) % 0.63/0.90 (define @t2 () (@var "Z" $$unsorted)) % 0.63/0.90 (define @t3 () (tptp.lesseq @t1 @t2)) % 0.63/0.90 (define @t4 () (@var "Y" $$unsorted)) % 0.63/0.90 (define @t5 () (tptp.lesseq @t4 @t2)) % 0.63/0.90 (define @t6 () (tptp.lesseq @t1 @t4)) % 0.63/0.90 (define @t7 () (and @t6 @t5)) % 0.63/0.90 (define @t8 () (@list @t1 @t4 @t2)) % 0.63/0.90 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.63/0.90 (define @t10 () (= @t1 @t4)) % 0.63/0.90 (define @t11 () (tptp.lesseq @t4 @t1)) % 0.63/0.90 (define @t12 () (and @t6 @t11)) % 0.63/0.90 (define @t13 () (@list @t1 @t4)) % 0.63/0.90 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.63/0.90 (define @t15 () (forall @t8 (= @t6 (tptp.lesseq (tptp.sum @t2 @t1) (tptp.sum @t2 @t4))))) % 0.63/0.90 (define @t16 () (not @t11)) % 0.63/0.90 (define @t17 () (tptp.max @t1 @t4)) % 0.63/0.90 (define @t18 () (or (= @t17 @t1) @t16)) % 0.63/0.90 (define @t19 () (forall @t13 @t18)) % 0.63/0.90 (define @t20 () (not @t6)) % 0.63/0.90 (define @t21 () (or (= @t17 @t4) @t20)) % 0.63/0.90 (define @t22 () (forall @t13 @t21)) % 0.63/0.90 (define @t23 () (tptp.ub @t1 @t4 @t2)) % 0.63/0.90 (define @t24 () (@var "N" $$unsorted)) % 0.63/0.90 (define @t25 () (tptp.model_max @t1 @t4 @t24)) % 0.63/0.90 (define @t26 () (@list @t1 @t4 @t24)) % 0.63/0.90 (define @t27 () (forall @t26 (= @t25 (tptp.lesseq (tptp.sum tptp.c @t17) @t24)))) % 0.63/0.90 (define @t28 () (tptp.sum tptp.c @t2)) % 0.63/0.90 (define @t29 () (tptp.lesseq @t28 @t24)) % 0.63/0.90 (define @t30 () (and @t23 @t29)) % 0.63/0.90 (define @t31 () (@list @t2)) % 0.63/0.90 (define @t32 () (exists @t31 @t30)) % 0.63/0.90 (define @t33 () (tptp.model_ub @t1 @t4 @t24)) % 0.63/0.90 (define @t34 () (= @t33 @t32)) % 0.63/0.90 (define @t35 () (forall @t26 @t34)) % 0.63/0.90 (define @t36 () (tptp.lesseq @t24 @t2)) % 0.63/0.90 (define @t37 () (tptp.model_max @t1 @t4 @t2)) % 0.63/0.90 (define @t38 () (forall @t31 (=> @t37 @t36))) % 0.63/0.90 (define @t39 () (and @t25 @t38)) % 0.63/0.90 (define @t40 () (tptp.minsol_model_max @t1 @t4 @t24)) % 0.63/0.90 (define @t41 () (= @t40 @t39)) % 0.63/0.90 (define @t42 () (forall @t26 @t41)) % 0.63/0.90 (define @t43 () (tptp.model_ub @t1 @t4 @t2)) % 0.63/0.90 (define @t44 () (forall @t31 (=> @t43 @t36))) % 0.63/0.90 (define @t45 () (and @t33 @t44)) % 0.63/0.90 (define @t46 () (tptp.minsol_model_ub @t1 @t4 @t24)) % 0.63/0.90 (define @t47 () (= @t46 @t45)) % 0.63/0.90 (define @t48 () (forall @t26 @t47)) % 0.63/0.90 (define @t49 () (forall @t8 (= (tptp.minsol_model_ub @t1 @t4 @t2) (tptp.minsol_model_max @t1 @t4 @t2)))) % 0.63/0.90 (define @t50 () (not @t49)) % 0.63/0.90 (define @t51 () (@quantifiers_skolemize @t49 2)) % 0.63/0.90 (define @t52 () (@quantifiers_skolemize @t49 1)) % 0.63/0.90 (define @t53 () (@quantifiers_skolemize @t49 0)) % 0.63/0.90 (define @t54 () (not (tptp.ub @t53 @t52 @t2))) % 0.63/0.90 (define @t55 () (forall @t31 (or @t54 (not (tptp.lesseq @t28 @t51))))) % 0.63/0.90 (define @t56 () (@quantifiers_skolemize @t55 0)) % 0.63/0.90 (define @t57 () (tptp.sum tptp.c @t56)) % 0.63/0.90 (define @t58 () (not (tptp.model_ub @t53 @t52 @t2))) % 0.63/0.90 (define @t59 () (forall @t31 (or @t58 (tptp.lesseq @t57 @t2)))) % 0.63/0.90 (define @t60 () (@quantifiers_skolemize @t59 0)) % 0.63/0.90 (define @t61 () (@list @t53 @t52 @t57)) % 0.63/0.90 (define @t62 () (tptp.max @t53 @t52)) % 0.63/0.90 (define @t63 () (tptp.sum tptp.c @t62)) % 0.63/0.90 (define @t64 () (tptp.lesseq @t62 @t56)) % 0.63/0.90 (define @t65 () (tptp.lesseq @t63 @t57)) % 0.63/0.90 (define @t66 () (= @t64 @t65)) % 0.63/0.90 (define @t67 () (= @t65 @t64)) % 0.63/0.90 (define @t68 () (@list false)) % 0.63/0.90 (define @t69 () (@list @t15)) % 0.63/0.90 (define @t70 () (forall @t31 (not @t30))) % 0.63/0.90 (define @t71 () (not @t70)) % 0.63/0.90 (define @t72 () (@list @t53 @t52 @t51)) % 0.63/0.90 (define @t73 () (tptp.model_ub @t53 @t52 @t51)) % 0.63/0.90 (define @t74 () (not @t55)) % 0.63/0.90 (define @t75 () (= @t73 @t74)) % 0.63/0.90 (define @t76 () (not @t75)) % 0.63/0.90 (define @t77 () (not @t74)) % 0.63/0.90 (define @t78 () (@list @t53 @t52 @t63)) % 0.63/0.90 (define @t79 () (@list @t53 @t52)) % 0.63/0.90 (define @t80 () (tptp.lesseq @t53 @t52)) % 0.63/0.90 (define @t81 () (not @t80)) % 0.63/0.90 (define @t82 () (= @t52 @t62)) % 0.63/0.90 (define @t83 () (or @t82 @t81)) % 0.63/0.90 (define @t84 () (@list @t62)) % 0.63/0.90 (define @t85 () (tptp.lesseq @t62 @t62)) % 0.63/0.90 (define @t86 () (tptp.lesseq @t62 @t52)) % 0.63/0.90 (define @t87 () (and @t82 @t85)) % 0.63/0.90 (define @t88 () (tptp.ub @t53 @t62 @t52)) % 0.63/0.90 (define @t89 () (not @t88)) % 0.63/0.90 (define @t90 () (tptp.ub @t53 @t52 @t62)) % 0.63/0.90 (define @t91 () (not @t82)) % 0.63/0.90 (define @t92 () (not @t90)) % 0.63/0.90 (define @t93 () (and @t82 @t92)) % 0.63/0.90 (define @t94 () (and @t80 @t86)) % 0.63/0.90 (define @t95 () (= @t88 @t94)) % 0.63/0.90 (define @t96 () (tptp.lesseq @t52 @t62)) % 0.63/0.90 (define @t97 () (tptp.lesseq @t53 @t62)) % 0.63/0.90 (define @t98 () (and @t97 @t96)) % 0.63/0.90 (define @t99 () (= @t90 @t98)) % 0.63/0.90 (define @t100 () (tptp.lesseq @t52 @t53)) % 0.63/0.90 (define @t101 () (or @t80 @t100)) % 0.63/0.90 (define @t102 () (not @t100)) % 0.63/0.90 (define @t103 () (= @t53 @t62)) % 0.63/0.90 (define @t104 () (or @t103 @t102)) % 0.63/0.90 (define @t105 () (and @t103 @t100)) % 0.63/0.90 (define @t106 () (not @t103)) % 0.63/0.90 (define @t107 () (and @t103 @t85)) % 0.63/0.90 (define @t108 () (@list @t63)) % 0.63/0.90 (define @t109 () (tptp.lesseq @t63 @t63)) % 0.63/0.90 (define @t110 () (not @t109)) % 0.63/0.90 (define @t111 () (or @t92 @t110)) % 0.63/0.90 (define @t112 () (not @t111)) % 0.63/0.90 (define @t113 () (@list false false)) % 0.63/0.90 (define @t114 () (forall @t31 (or @t54 (not (tptp.lesseq @t28 @t63))))) % 0.63/0.90 (define @t115 () (not @t114)) % 0.63/0.90 (define @t116 () (@list true)) % 0.63/0.90 (define @t117 () (tptp.model_ub @t53 @t52 @t63)) % 0.63/0.90 (define @t118 () (= @t117 @t115)) % 0.63/0.90 (define @t119 () (not @t118)) % 0.63/0.90 (define @t120 () (@list true false)) % 0.63/0.90 (define @t121 () (tptp.lesseq @t51 @t2)) % 0.63/0.90 (define @t122 () (forall @t31 (or @t58 @t121))) % 0.63/0.90 (define @t123 () (and @t73 @t122)) % 0.63/0.90 (define @t124 () (not @t123)) % 0.63/0.90 (define @t125 () (forall @t26 (= @t46 (and @t33 (forall @t31 (or (not @t43) @t36)))))) % 0.63/0.90 (define @t126 () (tptp.minsol_model_ub @t53 @t52 @t51)) % 0.63/0.90 (define @t127 () (= @t126 @t123)) % 0.63/0.90 (define @t128 () (not @t127)) % 0.63/0.90 (define @t129 () (not @t126)) % 0.63/0.90 (define @t130 () (tptp.minsol_model_max @t53 @t52 @t51)) % 0.63/0.90 (define @t131 () (= @t126 @t130)) % 0.63/0.90 (define @t132 () (not @t131)) % 0.63/0.90 (define @t133 () (forall @t26 (= @t40 (and @t25 (forall @t31 (or (not @t37) @t36)))))) % 0.63/0.90 (define @t134 () (forall @t31 (or (not (tptp.model_max @t53 @t52 @t2)) @t121))) % 0.63/0.90 (define @t135 () (tptp.model_max @t53 @t52 @t51)) % 0.63/0.90 (define @t136 () (and @t135 @t134)) % 0.63/0.90 (define @t137 () (= @t130 @t136)) % 0.63/0.90 (define @t138 () (not @t137)) % 0.63/0.90 (define @t139 () (not @t136)) % 0.63/0.90 (define @t140 () (tptp.lesseq @t63 @t51)) % 0.63/0.90 (define @t141 () (= @t135 @t140)) % 0.63/0.90 (define @t142 () (not @t141)) % 0.63/0.90 (define @t143 () (forall @t13 (or (= @t4 @t17) @t20))) % 0.63/0.90 (define @t144 () (@list @t63 @t51)) % 0.63/0.90 (define @t145 () (not @t140)) % 0.63/0.90 (define @t146 () (tptp.max @t63 @t51)) % 0.63/0.90 (define @t147 () (= @t51 @t146)) % 0.63/0.90 (define @t148 () (or @t147 @t145)) % 0.63/0.90 (define @t149 () (tptp.lesseq @t51 @t63)) % 0.63/0.90 (define @t150 () (not @t117)) % 0.63/0.90 (define @t151 () (or @t150 @t149)) % 0.63/0.90 (define @t152 () (not @t151)) % 0.63/0.90 (define @t153 () (not @t149)) % 0.63/0.90 (define @t154 () (= @t63 @t146)) % 0.63/0.90 (define @t155 () (or @t154 @t153)) % 0.63/0.90 (define @t156 () (not @t147)) % 0.63/0.90 (define @t157 () (not @t154)) % 0.63/0.90 (define @t158 () (not @t73)) % 0.63/0.90 (define @t159 () (= true false)) % 0.63/0.90 (define @t160 () (and @t158 @t147 @t154 @t117)) % 0.63/0.90 (define @t161 () (or @t92 @t145)) % 0.63/0.90 (define @t162 () (or @t140 @t149)) % 0.63/0.90 (define @t163 () (tptp.lesseq @t57 @t51)) % 0.63/0.90 (define @t164 () (not @t163)) % 0.63/0.90 (define @t165 () (tptp.ub @t53 @t52 @t56)) % 0.63/0.90 (define @t166 () (not @t165)) % 0.63/0.90 (define @t167 () (or @t166 @t164)) % 0.63/0.90 (define @t168 () (not @t167)) % 0.63/0.90 (define @t169 () (@list @t167)) % 0.63/0.90 (define @t170 () (tptp.lesseq @t52 @t56)) % 0.63/0.90 (define @t171 () (tptp.lesseq @t53 @t56)) % 0.63/0.90 (define @t172 () (and @t171 @t170)) % 0.63/0.90 (define @t173 () (= @t165 @t172)) % 0.63/0.90 (define @t174 () (not @t172)) % 0.63/0.90 (define @t175 () (@list @t172)) % 0.63/0.90 (define @t176 () (and @t82 @t170)) % 0.63/0.90 (define @t177 () (not @t65)) % 0.63/0.90 (define @t178 () (tptp.max @t57 @t63)) % 0.63/0.90 (define @t179 () (= @t57 @t178)) % 0.63/0.90 (define @t180 () (or @t179 @t177)) % 0.63/0.90 (define @t181 () (@list @t57 @t51)) % 0.63/0.90 (define @t182 () (tptp.max @t57 @t51)) % 0.63/0.90 (define @t183 () (= @t51 @t182)) % 0.63/0.90 (define @t184 () (or @t183 @t164)) % 0.63/0.90 (define @t185 () (@list @t51 @t63)) % 0.63/0.90 (define @t186 () (tptp.model_max @t53 @t52 @t63)) % 0.63/0.90 (define @t187 () (= @t186 @t109)) % 0.63/0.90 (define @t188 () (= @t109 @t186)) % 0.63/0.90 (define @t189 () (not @t186)) % 0.63/0.90 (define @t190 () (or @t189 @t149)) % 0.63/0.90 (define @t191 () (tptp.max @t51 @t63)) % 0.63/0.90 (define @t192 () (= @t63 @t191)) % 0.63/0.90 (define @t193 () (or @t192 @t153)) % 0.63/0.90 (define @t194 () (@quantifiers_skolemize @t134 0)) % 0.63/0.90 (define @t195 () (tptp.lesseq @t51 @t194)) % 0.63/0.90 (define @t196 () (tptp.model_ub @t53 @t52 @t194)) % 0.63/0.90 (define @t197 () (not @t196)) % 0.63/0.90 (define @t198 () (or @t197 @t195)) % 0.63/0.90 (define @t199 () (@list @t57)) % 0.63/0.90 (define @t200 () (tptp.lesseq @t51 @t57)) % 0.63/0.90 (define @t201 () (tptp.model_ub @t53 @t52 @t57)) % 0.63/0.90 (define @t202 () (not @t201)) % 0.63/0.90 (define @t203 () (or @t202 @t200)) % 0.63/0.90 (define @t204 () (tptp.model_max @t53 @t52 @t194)) % 0.63/0.90 (define @t205 () (not @t204)) % 0.63/0.90 (define @t206 () (or @t205 @t195)) % 0.63/0.90 (define @t207 () (@list @t53 @t52 @t194)) % 0.63/0.90 (define @t208 () (tptp.lesseq @t63 @t194)) % 0.63/0.90 (define @t209 () (= @t204 @t208)) % 0.63/0.90 (define @t210 () (not @t198)) % 0.63/0.90 (define @t211 () (not @t208)) % 0.63/0.90 (define @t212 () (or @t92 @t211)) % 0.63/0.90 (define @t213 () (forall @t31 (or @t54 (not (tptp.lesseq @t28 @t194))))) % 0.63/0.90 (define @t214 () (not @t213)) % 0.63/0.90 (define @t215 () (= @t196 @t214)) % 0.63/0.90 (define @t216 () (not @t215)) % 0.63/0.90 (define @t217 () (tptp.lesseq @t57 @t57)) % 0.63/0.90 (define @t218 () (not @t217)) % 0.63/0.90 (define @t219 () (or @t166 @t218)) % 0.63/0.90 (define @t220 () (not @t219)) % 0.63/0.90 (define @t221 () (forall @t31 (or @t54 (not (tptp.lesseq @t28 @t57))))) % 0.63/0.90 (define @t222 () (not @t221)) % 0.63/0.90 (define @t223 () (= @t201 @t222)) % 0.63/0.90 (define @t224 () (not @t223)) % 0.63/0.90 (define @t225 () (not @t206)) % 0.63/0.90 (define @t226 () (not @t134)) % 0.63/0.90 (define @t227 () (or @t20 @t16 @t10)) % 0.63/0.90 (define @t228 () (not @t200)) % 0.63/0.90 (define @t229 () (or @t164 @t228 (= @t57 @t51))) % 0.63/0.90 (define @t230 () (forall @t13 @t227)) % 0.63/0.90 (define @t231 () (= @t51 @t57)) % 0.63/0.90 (define @t232 () (or @t164 @t228 @t231)) % 0.63/0.90 (define @t233 () (@list @t230)) % 0.63/0.90 (define @t234 () (and @t103 @t171)) % 0.63/0.90 (define @t235 () (and @t231 @t201)) % 0.63/0.90 (define @t236 () (not @t231)) % 0.63/0.90 (define @t237 () (and @t231 @t65)) % 0.63/0.90 (define @t238 () (= @t51 @t191)) % 0.63/0.90 (define @t239 () (or @t238 @t145)) % 0.63/0.90 (define @t240 () (tptp.minsol_model_ub @t53 @t52 @t57)) % 0.63/0.90 (define @t241 () (not @t240)) % 0.63/0.90 (define @t242 () (not @t179)) % 0.63/0.90 (define @t243 () (not @t238)) % 0.63/0.90 (define @t244 () (not @t192)) % 0.63/0.90 (define @t245 () (not @t183)) % 0.63/0.90 (define @t246 () (and @t129 @t183 @t192 @t238 @t179)) % 0.63/0.90 (define @t247 () (and @t201 @t59)) % 0.63/0.90 (define @t248 () (= @t240 @t247)) % 0.63/0.90 (define @t249 () (not @t247)) % 0.63/0.90 (define @t250 () (not @t59)) % 0.63/0.90 (define @t251 () (tptp.lesseq @t57 @t60)) % 0.63/0.90 (define @t252 () (tptp.model_ub @t53 @t52 @t60)) % 0.63/0.90 (define @t253 () (not @t252)) % 0.63/0.90 (define @t254 () (or @t253 @t251)) % 0.63/0.90 (define @t255 () (not @t254)) % 0.63/0.90 (define @t256 () (forall @t31 (or @t54 (not (tptp.lesseq @t28 @t60))))) % 0.63/0.90 (define @t257 () (not @t256)) % 0.63/0.90 (define @t258 () (= @t252 @t257)) % 0.63/0.90 (define @t259 () (tptp.lesseq @t60 @t57)) % 0.63/0.90 (define @t260 () (or @t251 @t259)) % 0.63/0.90 (define @t261 () (@quantifiers_skolemize @t256 0)) % 0.63/0.90 (define @t262 () (tptp.sum tptp.c @t261)) % 0.63/0.90 (define @t263 () (tptp.lesseq @t262 @t60)) % 0.63/0.90 (define @t264 () (not @t263)) % 0.63/0.90 (define @t265 () (tptp.ub @t53 @t52 @t261)) % 0.63/0.90 (define @t266 () (not @t265)) % 0.63/0.90 (define @t267 () (or @t266 @t264)) % 0.63/0.90 (define @t268 () (not @t267)) % 0.63/0.90 (define @t269 () (tptp.lesseq @t52 @t261)) % 0.63/0.90 (define @t270 () (tptp.lesseq @t53 @t261)) % 0.63/0.90 (define @t271 () (and @t270 @t269)) % 0.63/0.90 (define @t272 () (= @t265 @t271)) % 0.63/0.90 (define @t273 () (not @t271)) % 0.63/0.90 (define @t274 () (tptp.lesseq @t62 @t261)) % 0.63/0.90 (define @t275 () (and @t82 @t269)) % 0.63/0.90 (define @t276 () (tptp.lesseq @t63 @t262)) % 0.63/0.90 (define @t277 () (= @t274 @t276)) % 0.63/0.90 (define @t278 () (= @t276 @t274)) % 0.63/0.90 (define @t279 () (tptp.lesseq @t51 @t262)) % 0.63/0.90 (define @t280 () (tptp.lesseq @t57 @t262)) % 0.63/0.90 (define @t281 () (and @t183 @t192 @t238 @t179 @t276)) % 0.63/0.90 (define @t282 () (not @t276)) % 0.63/0.90 (define @t283 () (not @t5)) % 0.63/0.90 (define @t284 () (tptp.lesseq @t60 @t262)) % 0.63/0.90 (define @t285 () (not @t280)) % 0.63/0.90 (define @t286 () (not @t259)) % 0.63/0.90 (define @t287 () (or @t286 @t285 @t284)) % 0.63/0.90 (define @t288 () (not @t284)) % 0.63/0.90 (define @t289 () (or @t264 @t288 (= @t262 @t60))) % 0.63/0.90 (define @t290 () (= @t60 @t262)) % 0.63/0.90 (define @t291 () (or @t264 @t288 @t290)) % 0.63/0.90 (define @t292 () (not @t171)) % 0.63/0.90 (define @t293 () (tptp.max @t53 @t56)) % 0.63/0.90 (define @t294 () (= @t56 @t293)) % 0.63/0.90 (define @t295 () (or @t294 @t292)) % 0.63/0.90 (define @t296 () (not @t290)) % 0.63/0.90 (define @t297 () (not @t294)) % 0.63/0.90 (define @t298 () (not @t251)) % 0.63/0.90 (define @t299 () (tptp.sum tptp.c @t293)) % 0.63/0.90 (define @t300 () (and @t298 @t294 @t179 @t192 @t238 @t183 @t290 @t276)) % 0.63/0.90 (define @t301 () (@list @t254)) % 0.63/0.90 (define @t302 () (@list @t267)) % 0.63/0.90 (define @t303 () (and @t103 @t270)) % 0.63/0.90 (assume @p1 (forall (@list @t1) (tptp.lesseq @t1 @t1))) % 0.63/0.90 (assume @p2 @t9) % 0.63/0.90 (assume @p3 @t14) % 0.63/0.90 (assume @p4 (forall @t13 (or @t6 @t11))) % 0.63/0.90 (assume @p5 @t15) % 0.63/0.90 (assume @p6 (forall @t13 (= @t6 (tptp.lesseq (tptp.summation @t1) (tptp.summation @t4))))) % 0.63/0.90 (assume @p7 @t19) % 0.63/0.90 (assume @p8 @t22) % 0.63/0.90 (assume @p9 (forall @t8 (= @t23 (and @t3 @t5)))) % 0.63/0.90 (assume @p10 @t27) % 0.63/0.90 (assume @p11 @t35) % 0.63/0.90 (assume @p12 @t42) % 0.63/0.90 (assume @p13 @t48) % 0.63/0.90 (assume @p14 @t50) % 0.63/0.90 (assume @p15 true) % 0.63/0.90 (step @p16 :rule instantiate :premises (@p4) :args ((@list @t57 @t60))) % 0.63/0.90 (step @p17 :rule bool-impl-elim :args (@t43 @t36)) % 0.63/0.90 (step @p18 :rule cong :premises (@p17) :args (@t44)) % 0.63/0.90 (step @p19 :rule refl :args (@t33)) % 0.63/0.90 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t45)) % 0.63/0.90 (step @p21 :rule refl :args (@t46)) % 0.63/0.90 (step @p22 :rule cong :premises (@p21 @p20) :args (@t47)) % 0.63/0.90 (step @p23 :rule cong :premises (@p22) :args (@t48)) % 0.63/0.90 (step @p24 :rule eq_resolve :premises (@p13 @p23)) % 0.63/0.90 (step @p25 :rule instantiate :premises (@p24) :args (@t61)) % 0.63/0.90 (step @p26 :rule refl :args (@t16)) % 0.63/0.90 (step @p27 :rule eq-symm :args (@t17 @t1)) % 0.63/0.90 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t18)) % 0.63/0.90 (step @p29 :rule cong :premises (@p28) :args (@t19)) % 0.63/0.90 (step @p30 :rule eq_resolve :premises (@p7 @p29)) % 0.63/0.90 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t57 @t63))) % 0.63/0.90 (step @p32 :rule eq-symm :args (@t64 @t65)) % 0.63/0.90 (step @p33 :rule refl :args (@t15)) % 0.63/0.90 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t15 @t66))) % 0.63/0.90 (assume-push @p888 @t15) % 0.63/0.90 (step @p36 :rule instantiate :premises (@p5) :args ((@list @t62 @t56 tptp.c))) % 0.63/0.90 (step-pop @p889 :rule scope :premises (@p36)) % 0.63/0.90 (step @p37 :rule process_scope :premises (@p889) :args (@t66)) % 0.63/0.90 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.63/0.90 (step @p40 :rule implies_elim :premises (@p39)) % 0.63/0.90 (step @p41 :rule chain_m_resolution :premises (@p40 @p5) :args (@t67 @t68 @t69)) % 0.63/0.90 (step @p42 :rule instantiate :premises (@p9) :args ((@list @t53 @t52 @t56))) % 0.63/0.90 (step @p43 :rule bool-and-de-morgan :args (@t23 @t29 true)) % 0.63/0.90 (step @p44 :rule cong :premises (@p43) :args (@t70)) % 0.63/0.90 (step @p45 :rule cong :premises (@p44) :args (@t71)) % 0.63/0.90 (step @p46 :rule exists-elim :args ((= @t32 @t71))) % 0.63/0.90 (step @p47 :rule trans :premises (@p46 @p45)) % 0.63/0.90 (step @p48 :rule cong :premises (@p19 @p47) :args (@t34)) % 0.63/0.90 (step @p49 :rule cong :premises (@p48) :args (@t35)) % 0.63/0.90 (step @p50 :rule eq_resolve :premises (@p11 @p49)) % 0.63/0.90 (step @p51 :rule instantiate :premises (@p50) :args (@t72)) % 0.63/0.90 (step @p52 :rule bool-double-not-elim :args (@t55)) % 0.63/0.90 (step @p53 :rule refl :args (@t73)) % 0.63/0.90 (step @p54 :rule refl :args (@t76)) % 0.63/0.90 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args ((or @t76 @t73 @t77))) % 0.63/0.90 (step @p56 :rule cnf_equiv_pos2 :args (@t75)) % 0.63/0.90 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.63/0.90 (step @p58 :rule reordering :premises (@p57) :args ((or @t73 @t55 @t76))) % 0.63/0.90 (step @p59 :rule instantiate :premises (@p50) :args (@t78)) % 0.63/0.90 (step @p60 :rule refl :args (@t20)) % 0.63/0.90 (step @p61 :rule eq-symm :args (@t17 @t4)) % 0.63/0.90 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t21)) % 0.63/0.90 (step @p63 :rule cong :premises (@p62) :args (@t22)) % 0.63/0.90 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 0.63/0.90 (step @p65 :rule instantiate :premises (@p64) :args (@t79)) % 0.63/0.90 (step @p66 :rule cnf_or_pos :args (@t83)) % 0.63/0.90 (step @p67 :rule reordering :premises (@p66) :args ((or @t82 @t81 (not @t83)))) % 0.63/0.90 (step @p68 :rule instantiate :premises (@p1) :args (@t84)) % 0.63/0.90 (assume-push @p890 @t82) % 0.63/0.90 (assume-push @p891 @t85) % 0.63/0.90 (assume-push @p892 @t85) % 0.63/0.90 (assume-push @p893 @t82) % 0.63/0.90 (step @p73 :rule true_intro :premises (@p68)) % 0.63/0.90 (step @p74 :rule refl :args (@t62)) % 0.63/0.90 (step @p75 :rule cong :premises (@p74 @p890) :args (@t86)) % 0.63/0.90 (step @p76 :rule trans :premises (@p75 @p73)) % 0.63/0.90 (step @p77 :rule true_elim :premises (@p76)) % 0.63/0.90 (step-pop @p894 :rule scope :premises (@p77)) % 0.63/0.90 (step-pop @p895 :rule scope :premises (@p894)) % 0.63/0.90 (step @p78 :rule process_scope :premises (@p895) :args (@t86)) % 0.63/0.90 (step @p81 :rule and_intro :premises (@p68 @p890)) % 0.63/0.90 (step @p82 :rule modus_ponens :premises (@p81 @p78)) % 0.63/0.90 (step-pop @p896 :rule scope :premises (@p82)) % 0.63/0.90 (step-pop @p897 :rule scope :premises (@p896)) % 0.63/0.90 (step @p83 :rule process_scope :premises (@p897) :args (@t86)) % 0.63/0.90 (step @p86 :rule implies_elim :premises (@p83)) % 0.63/0.90 (step @p87 :rule cnf_and_neg :args (@t87)) % 0.63/0.90 (step @p88 :rule resolution :premises (@p87 @p86) :args (true @t87)) % 0.63/0.90 (step @p89 :rule refl :args (@t89)) % 0.63/0.90 (step @p90 :rule bool-double-not-elim :args (@t90)) % 0.63/0.90 (step @p91 :rule refl :args (@t91)) % 0.63/0.90 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args ((or @t91 (not @t92) @t89))) % 0.63/0.90 (assume-push @p898 @t82) % 0.63/0.90 (assume-push @p899 @t92) % 0.63/0.90 (assume-push @p900 @t92) % 0.63/0.90 (assume-push @p901 @t82) % 0.63/0.90 (step @p97 :rule false_intro :premises (@p899)) % 0.63/0.90 (step @p98 :rule symm :premises (@p898)) % 0.63/0.90 (step @p99 :rule refl :args (@t53)) % 0.63/0.90 (step @p100 :rule cong :premises (@p99 @p98 @p898) :args (@t88)) % 0.63/0.90 (step @p101 :rule trans :premises (@p100 @p97)) % 0.63/0.90 (step @p102 :rule false_elim :premises (@p101)) % 0.63/0.90 (step-pop @p902 :rule scope :premises (@p102)) % 0.63/0.90 (step-pop @p903 :rule scope :premises (@p902)) % 0.63/0.90 (step @p103 :rule process_scope :premises (@p903) :args (@t89)) % 0.63/0.90 (step @p106 :rule and_intro :premises (@p899 @p898)) % 0.63/0.90 (step @p107 :rule modus_ponens :premises (@p106 @p103)) % 0.63/0.90 (step-pop @p904 :rule scope :premises (@p107)) % 0.63/0.90 (step-pop @p905 :rule scope :premises (@p904)) % 0.63/0.90 (step @p108 :rule process_scope :premises (@p905) :args (@t89)) % 0.63/0.90 (step @p111 :rule implies_elim :premises (@p108)) % 0.63/0.90 (step @p112 :rule cnf_and_neg :args (@t93)) % 0.63/0.90 (step @p113 :rule resolution :premises (@p112 @p111) :args (true @t93)) % 0.63/0.90 (step @p114 :rule eq_resolve :premises (@p113 @p92)) % 0.63/0.90 (step @p115 :rule cnf_and_neg :args (@t94)) % 0.63/0.90 (step @p116 :rule reordering :premises (@p115) :args ((or @t81 @t94 (not @t86)))) % 0.63/0.90 (step @p117 :rule instantiate :premises (@p9) :args ((@list @t53 @t62 @t52))) % 0.63/0.90 (step @p118 :rule cnf_equiv_pos2 :args (@t95)) % 0.63/0.90 (step @p119 :rule reordering :premises (@p118) :args ((or @t88 (not @t94) (not @t95)))) % 0.63/0.90 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p116 @p114 @p88 @p68 @p67 @p65) :args ((or @t81 @t90) (@list false false true false false false false) (@list @t95 @t94 @t88 @t86 @t85 @t82 @t83))) % 0.63/0.90 (step @p121 :rule instantiate :premises (@p9) :args ((@list @t53 @t52 @t62))) % 0.63/0.90 (step @p122 :rule cnf_equiv_pos2 :args (@t99)) % 0.63/0.90 (step @p123 :rule reordering :premises (@p122) :args ((or @t90 (not @t98) (not @t99)))) % 0.63/0.90 (step @p124 :rule instantiate :premises (@p4) :args (@t79)) % 0.63/0.90 (step @p125 :rule cnf_or_pos :args (@t101)) % 0.63/0.90 (step @p126 :rule reordering :premises (@p125) :args ((or @t100 @t80 (not @t101)))) % 0.63/0.90 (step @p127 :rule instantiate :premises (@p30) :args (@t79)) % 0.63/0.90 (step @p128 :rule cnf_or_pos :args (@t104)) % 0.63/0.90 (step @p129 :rule reordering :premises (@p128) :args ((or @t103 @t102 (not @t104)))) % 0.63/0.90 (assume-push @p906 @t103) % 0.63/0.90 (assume-push @p907 @t100) % 0.63/0.90 (assume-push @p908 @t100) % 0.63/0.90 (assume-push @p909 @t103) % 0.63/0.90 (step @p134 :rule true_intro :premises (@p907)) % 0.63/0.90 (step @p135 :rule symm :premises (@p906)) % 0.63/0.90 (step @p136 :rule refl :args (@t52)) % 0.63/0.90 (step @p137 :rule cong :premises (@p136 @p135) :args (@t96)) % 0.63/0.90 (step @p138 :rule trans :premises (@p137 @p134)) % 0.63/0.90 (step @p139 :rule true_elim :premises (@p138)) % 0.63/0.90 (step-pop @p910 :rule scope :premises (@p139)) % 0.63/0.90 (step-pop @p911 :rule scope :premises (@p910)) % 0.63/0.90 (step @p140 :rule process_scope :premises (@p911) :args (@t96)) % 0.63/0.90 (step @p143 :rule and_intro :premises (@p907 @p906)) % 0.63/0.90 (step @p144 :rule modus_ponens :premises (@p143 @p140)) % 0.63/0.90 (step-pop @p912 :rule scope :premises (@p144)) % 0.63/0.90 (step-pop @p913 :rule scope :premises (@p912)) % 0.63/0.90 (step @p145 :rule process_scope :premises (@p913) :args (@t96)) % 0.63/0.90 (step @p148 :rule implies_elim :premises (@p145)) % 0.63/0.90 (step @p149 :rule cnf_and_neg :args (@t105)) % 0.63/0.90 (step @p150 :rule resolution :premises (@p149 @p148) :args (true @t105)) % 0.63/0.90 (step @p151 :rule reordering :premises (@p150) :args ((or @t102 @t106 @t96))) % 0.63/0.90 (assume-push @p914 @t103) % 0.63/0.90 (assume-push @p915 @t85) % 0.63/0.90 (assume-push @p916 @t85) % 0.63/0.90 (assume-push @p917 @t103) % 0.63/0.90 (step @p73 :rule true_intro :premises (@p68)) % 0.63/0.90 (step @p74 :rule refl :args (@t62)) % 0.63/0.90 (step @p156 :rule cong :premises (@p914 @p74) :args (@t97)) % 0.63/0.90 (step @p157 :rule trans :premises (@p156 @p73)) % 0.63/0.90 (step @p158 :rule true_elim :premises (@p157)) % 0.63/0.90 (step-pop @p918 :rule scope :premises (@p158)) % 0.63/0.90 (step-pop @p919 :rule scope :premises (@p918)) % 0.63/0.90 (step @p159 :rule process_scope :premises (@p919) :args (@t97)) % 0.63/0.90 (step @p162 :rule and_intro :premises (@p68 @p914)) % 0.63/0.90 (step @p163 :rule modus_ponens :premises (@p162 @p159)) % 0.63/0.90 (step-pop @p920 :rule scope :premises (@p163)) % 0.63/0.90 (step-pop @p921 :rule scope :premises (@p920)) % 0.63/0.90 (step @p164 :rule process_scope :premises (@p921) :args (@t97)) % 0.63/0.90 (step @p167 :rule implies_elim :premises (@p164)) % 0.63/0.90 (step @p168 :rule cnf_and_neg :args (@t107)) % 0.63/0.90 (step @p169 :rule resolution :premises (@p168 @p167) :args (true @t107)) % 0.63/0.90 (step @p170 :rule cnf_and_neg :args (@t98)) % 0.63/0.90 (step @p171 :rule reordering :premises (@p170) :args ((or (not @t97) @t98 (not @t96)))) % 0.63/0.90 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p68 @p151 @p129 @p127 @p126 @p124 @p123 @p121 @p120) :args (@t90 (@list false false false false false false false true false true) (@list @t97 @t85 @t96 @t103 @t104 @t100 @t101 @t98 @t99 @t80))) % 0.63/0.90 (step @p173 :rule instantiate :premises (@p1) :args (@t108)) % 0.63/0.90 (step @p174 :rule cnf_or_pos :args (@t111)) % 0.63/0.90 (step @p175 :rule reordering :premises (@p174) :args ((or @t110 @t92 @t112))) % 0.63/0.90 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p172) :args (@t112 @t113 (@list @t109 @t90))) % 0.63/0.90 (assume-push @p922 @t114) % 0.63/0.90 (step @p178 :rule instantiate :premises (@p922) :args (@t84)) % 0.63/0.90 (step-pop @p923 :rule scope :premises (@p178)) % 0.63/0.90 (step @p179 :rule process_scope :premises (@p923) :args (@t111)) % 0.63/0.90 (step @p181 :rule implies_elim :premises (@p179)) % 0.63/0.90 (step @p182 :rule chain_m_resolution :premises (@p181 @p176) :args (@t115 @t116 (@list @t111))) % 0.63/0.90 (step @p183 :rule bool-double-not-elim :args (@t114)) % 0.63/0.90 (step @p184 :rule refl :args (@t117)) % 0.63/0.90 (step @p185 :rule refl :args (@t119)) % 0.63/0.90 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args ((or @t119 @t117 (not @t115)))) % 0.63/0.90 (step @p187 :rule cnf_equiv_pos2 :args (@t118)) % 0.63/0.90 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.63/0.90 (step @p189 :rule reordering :premises (@p188) :args ((or @t117 @t114 @t119))) % 0.63/0.90 (step @p190 :rule chain_m_resolution :premises (@p189 @p182 @p59) :args (@t117 @t120 (@list @t114 @t118))) % 0.63/0.90 (step @p191 :rule cnf_and_pos :args (@t123 0)) % 0.63/0.90 (step @p192 :rule reordering :premises (@p191) :args ((or @t73 @t124))) % 0.63/0.90 (assume-push @p924 @t125) % 0.63/0.90 (step @p194 :rule instantiate :premises (@p24) :args (@t72)) % 0.63/0.90 (step-pop @p925 :rule scope :premises (@p194)) % 0.63/0.90 (step @p195 :rule process_scope :premises (@p925) :args (@t127)) % 0.63/0.90 (step @p197 :rule implies_elim :premises (@p195)) % 0.63/0.90 (step @p198 :rule cnf_equiv_pos1 :args (@t127)) % 0.63/0.90 (step @p199 :rule reordering :premises (@p198) :args ((or @t129 @t123 @t128))) % 0.63/0.90 (step @p200 :rule refl :args (@t132)) % 0.63/0.90 (step @p201 :rule bool-double-not-elim :args (@t49)) % 0.63/0.90 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or (not @t50) @t132))) % 0.63/0.90 (assume-push @p926 @t50) % 0.63/0.90 (step @p204 :rule skolemize :premises (@p14)) % 0.63/0.90 (step-pop @p927 :rule scope :premises (@p204)) % 0.63/0.90 (step @p205 :rule process_scope :premises (@p927) :args (@t132)) % 0.63/0.90 (step @p207 :rule implies_elim :premises (@p205)) % 0.63/0.90 (step @p208 :rule eq_resolve :premises (@p207 @p202)) % 0.63/0.90 (step @p209 :rule cnf_equiv_neg1 :args (@t131)) % 0.63/0.90 (step @p210 :rule reordering :premises (@p209) :args ((or @t126 @t130 @t131))) % 0.63/0.90 (step @p211 :rule bool-impl-elim :args (@t37 @t36)) % 0.63/0.90 (step @p212 :rule cong :premises (@p211) :args (@t38)) % 0.63/0.90 (step @p213 :rule refl :args (@t25)) % 0.63/0.90 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t39)) % 0.63/0.90 (step @p215 :rule refl :args (@t40)) % 0.63/0.90 (step @p216 :rule cong :premises (@p215 @p214) :args (@t41)) % 0.63/0.90 (step @p217 :rule cong :premises (@p216) :args (@t42)) % 0.63/0.90 (step @p218 :rule eq_resolve :premises (@p12 @p217)) % 0.63/0.90 (assume-push @p928 @t133) % 0.63/0.90 (step @p220 :rule instantiate :premises (@p218) :args (@t72)) % 0.63/0.90 (step-pop @p929 :rule scope :premises (@p220)) % 0.63/0.90 (step @p221 :rule process_scope :premises (@p929) :args (@t137)) % 0.63/0.90 (step @p223 :rule implies_elim :premises (@p221)) % 0.63/0.90 (step @p224 :rule cnf_equiv_pos1 :args (@t137)) % 0.63/0.90 (step @p225 :rule reordering :premises (@p224) :args ((or (not @t130) @t136 @t138))) % 0.63/0.90 (step @p226 :rule cnf_and_pos :args (@t136 0)) % 0.63/0.90 (step @p227 :rule reordering :premises (@p226) :args ((or @t135 @t139))) % 0.63/0.90 (assume-push @p930 @t27) % 0.63/0.90 (step @p229 :rule instantiate :premises (@p10) :args (@t72)) % 0.63/0.90 (step-pop @p931 :rule scope :premises (@p229)) % 0.63/0.90 (step @p230 :rule process_scope :premises (@p931) :args (@t141)) % 0.63/0.90 (step @p232 :rule implies_elim :premises (@p230)) % 0.63/0.90 (step @p233 :rule cnf_equiv_pos1 :args (@t141)) % 0.63/0.90 (step @p234 :rule reordering :premises (@p233) :args ((or (not @t135) @t140 @t142))) % 0.63/0.90 (assume-push @p932 @t143) % 0.63/0.90 (step @p236 :rule instantiate :premises (@p64) :args (@t144)) % 0.63/0.90 (step-pop @p933 :rule scope :premises (@p236)) % 0.63/0.90 (step @p237 :rule process_scope :premises (@p933) :args (@t148)) % 0.63/0.90 (step @p239 :rule implies_elim :premises (@p237)) % 0.63/0.90 (step @p240 :rule cnf_or_pos :args (@t148)) % 0.63/0.90 (step @p241 :rule reordering :premises (@p240) :args ((or @t145 @t147 (not @t148)))) % 0.63/0.90 (step @p242 :rule cnf_or_pos :args (@t151)) % 0.63/0.90 (step @p243 :rule reordering :premises (@p242) :args ((or @t149 @t150 @t152))) % 0.63/0.90 (step @p244 :rule instantiate :premises (@p30) :args (@t144)) % 0.63/0.90 (step @p245 :rule cnf_or_pos :args (@t155)) % 0.63/0.90 (step @p246 :rule reordering :premises (@p245) :args ((or @t153 @t154 (not @t155)))) % 0.63/0.90 (step @p247 :rule refl :args (@t150)) % 0.63/0.90 (step @p248 :rule refl :args (@t156)) % 0.63/0.90 (step @p249 :rule refl :args (@t157)) % 0.63/0.90 (step @p250 :rule bool-double-not-elim :args (@t73)) % 0.63/0.90 (step @p251 :rule nary_cong :premises (@p250 @p249 @p248 @p247) :args ((or (not @t158) @t157 @t156 @t150))) % 0.63/0.90 (assume-push @p934 @t158) % 0.63/0.90 (assume-push @p935 @t147) % 0.63/0.90 (assume-push @p936 @t154) % 0.63/0.90 (assume-push @p937 @t117) % 0.63/0.90 (step @p256 :rule evaluate :args (@t159)) % 0.63/0.90 (step @p257 :rule false_intro :premises (@p934)) % 0.63/0.90 (step @p258 :rule symm :premises (@p935)) % 0.63/0.90 (step @p259 :rule trans :premises (@p936 @p258)) % 0.63/0.90 (step @p136 :rule refl :args (@t52)) % 0.63/0.90 (step @p99 :rule refl :args (@t53)) % 0.63/0.90 (step @p260 :rule cong :premises (@p99 @p136 @p259) :args (@t117)) % 0.63/0.90 (step @p261 :rule true_intro :premises (@p937)) % 0.63/0.90 (step @p262 :rule symm :premises (@p261)) % 0.63/0.90 (step @p263 :rule trans :premises (@p262 @p260 @p257)) % 0.63/0.90 (step @p264 false :rule eq_resolve :premises (@p263 @p256)) % 0.63/0.90 (step-pop @p938 :rule scope :premises (@p264)) % 0.63/0.90 (step-pop @p939 :rule scope :premises (@p938)) % 0.35/0.90 (step-pop @p940 :rule scope :premises (@p939)) % 0.35/0.90 (step-pop @p941 :rule scope :premises (@p940)) % 0.35/0.90 (step @p265 :rule process_scope :premises (@p941) :args (false)) % 0.35/0.90 (assume-push @p942 @t158) % 0.35/0.90 (assume-push @p943 @t154) % 0.35/0.90 (assume-push @p944 @t147) % 0.35/0.90 (assume-push @p945 @t117) % 0.35/0.90 (step @p274 :rule and_intro :premises (@p942 @p944 @p943 @p945)) % 0.35/0.90 (step-pop @p946 :rule scope :premises (@p274)) % 0.35/0.90 (step-pop @p947 :rule scope :premises (@p946)) % 0.35/0.90 (step-pop @p948 :rule scope :premises (@p947)) % 0.35/0.90 (step-pop @p949 :rule scope :premises (@p948)) % 0.35/0.90 (step @p275 :rule process_scope :premises (@p949) :args (@t160)) % 0.35/0.90 (step @p280 :rule implies_elim :premises (@p275)) % 0.35/0.90 (step @p281 :rule resolution :premises (@p280 @p265) :args (true @t160)) % 0.35/0.90 (step @p282 :rule not_and :premises (@p281)) % 0.35/0.90 (step @p283 :rule eq_resolve :premises (@p282 @p251)) % 0.35/0.90 (step @p284 :rule reordering :premises (@p283) :args ((or @t73 @t157 @t150 @t156))) % 0.35/0.90 (step @p285 :rule chain_m_resolution :premises (@p284 @p246 @p244 @p243 @p241 @p239 @p64 @p234 @p232 @p10 @p227 @p225 @p223 @p218 @p210 @p208 @p14 @p199 @p197 @p24 @p192) :args ((or @t73 @t150 @t152) (@list false false false false false false false false false false false false false false true true true false false true) (@list @t154 @t155 @t149 @t147 @t148 @t143 @t140 @t141 @t27 @t135 @t136 @t137 @t133 @t130 @t131 @t49 @t126 @t127 @t125 @t123))) % 0.35/0.90 (assume-push @p950 @t55) % 0.35/0.90 (step @p287 :rule instantiate :premises (@p950) :args (@t84)) % 0.35/0.90 (step-pop @p951 :rule scope :premises (@p287)) % 0.35/0.90 (step @p288 :rule process_scope :premises (@p951) :args (@t161)) % 0.35/0.90 (step @p290 :rule implies_elim :premises (@p288)) % 0.35/0.90 (step @p291 :rule cnf_or_neg :args (@t151 1)) % 0.35/0.90 (step @p292 :rule reordering :premises (@p291) :args ((or @t153 @t151))) % 0.35/0.90 (step @p293 :rule cnf_or_pos :args (@t161)) % 0.35/0.90 (step @p294 :rule reordering :premises (@p293) :args ((or @t145 @t92 (not @t161)))) % 0.35/0.90 (step @p295 :rule instantiate :premises (@p4) :args (@t144)) % 0.35/0.90 (step @p296 :rule cnf_or_pos :args (@t162)) % 0.35/0.90 (step @p297 :rule reordering :premises (@p296) :args ((or @t140 @t149 (not @t162)))) % 0.35/0.90 (step @p298 :rule chain_m_resolution :premises (@p297 @p295 @p294 @p172 @p292 @p290 @p285 @p190 @p58 @p51) :args (@t73 (@list false true false true false true false false false) (@list @t162 @t140 @t90 @t149 @t161 @t151 @t117 @t55 @t75))) % 0.35/0.90 (step @p299 :rule cnf_equiv_pos1 :args (@t75)) % 0.35/0.90 (step @p300 :rule reordering :premises (@p299) :args ((or @t158 @t74 @t76))) % 0.35/0.90 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p51) :args (@t74 @t113 (@list @t73 @t75))) % 0.35/0.90 (step @p302 :rule refl :args (@t168)) % 0.35/0.90 (step @p303 :rule nary_cong :premises (@p52 @p302) :args ((or @t77 @t168))) % 0.35/0.90 (assume-push @p952 @t74) % 0.35/0.90 (step @p305 :rule skolemize :premises (@p952)) % 0.35/0.90 (step-pop @p953 :rule scope :premises (@p305)) % 0.35/0.90 (step @p306 :rule process_scope :premises (@p953) :args (@t168)) % 0.35/0.90 (step @p308 :rule implies_elim :premises (@p306)) % 0.35/0.90 (step @p309 :rule eq_resolve :premises (@p308 @p303)) % 0.35/0.90 (step @p310 :rule chain_m_resolution :premises (@p309 @p301) :args (@t168 @t116 (@list @t55))) % 0.35/0.90 (step @p311 :rule bool-double-not-elim :args (@t165)) % 0.35/0.90 (step @p312 :rule refl :args (@t167)) % 0.35/0.90 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t167 (not @t166)))) % 0.35/0.90 (step @p314 :rule cnf_or_neg :args (@t167 0)) % 0.35/0.90 (step @p315 :rule eq_resolve :premises (@p314 @p313)) % 0.35/0.90 (step @p316 :rule reordering :premises (@p315) :args ((or @t165 @t167))) % 0.35/0.90 (step @p317 :rule chain_m_resolution :premises (@p316 @p310) :args (@t165 @t116 @t169)) % 0.35/0.90 (step @p318 :rule cnf_equiv_pos1 :args (@t173)) % 0.35/0.90 (step @p319 :rule reordering :premises (@p318) :args ((or @t166 @t172 (not @t173)))) % 0.35/0.90 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p42) :args (@t172 @t113 (@list @t165 @t173))) % 0.35/0.90 (step @p321 :rule cnf_and_pos :args (@t172 0)) % 0.35/0.90 (step @p322 :rule reordering :premises (@p321) :args ((or @t171 @t174))) % 0.35/0.90 (step @p323 :rule chain_m_resolution :premises (@p322 @p320) :args (@t171 @t68 @t175)) % 0.35/0.90 (step @p324 :rule cnf_and_pos :args (@t172 1)) % 0.35/0.90 (step @p325 :rule reordering :premises (@p324) :args ((or @t170 @t174))) % 0.35/0.90 (step @p326 :rule chain_m_resolution :premises (@p325 @p320) :args (@t170 @t68 @t175)) % 0.35/0.90 (assume-push @p954 @t82) % 0.35/0.90 (assume-push @p955 @t170) % 0.35/0.90 (assume-push @p956 @t170) % 0.35/0.90 (assume-push @p957 @t82) % 0.35/0.90 (step @p331 :rule true_intro :premises (@p955)) % 0.35/0.90 (step @p332 :rule refl :args (@t56)) % 0.35/0.90 (step @p333 :rule symm :premises (@p954)) % 0.35/0.90 (step @p334 :rule cong :premises (@p333 @p332) :args (@t64)) % 0.35/0.90 (step @p335 :rule trans :premises (@p334 @p331)) % 0.35/0.90 (step @p336 :rule true_elim :premises (@p335)) % 0.35/0.90 (step-pop @p958 :rule scope :premises (@p336)) % 0.35/0.90 (step-pop @p959 :rule scope :premises (@p958)) % 0.35/0.90 (step @p337 :rule process_scope :premises (@p959) :args (@t64)) % 0.35/0.90 (step @p340 :rule and_intro :premises (@p955 @p954)) % 0.35/0.90 (step @p341 :rule modus_ponens :premises (@p340 @p337)) % 0.35/0.90 (step-pop @p960 :rule scope :premises (@p341)) % 0.35/0.90 (step-pop @p961 :rule scope :premises (@p960)) % 0.35/0.90 (step @p342 :rule process_scope :premises (@p961) :args (@t64)) % 0.35/0.90 (step @p345 :rule implies_elim :premises (@p342)) % 0.35/0.90 (step @p346 :rule cnf_and_neg :args (@t176)) % 0.35/0.90 (step @p347 :rule resolution :premises (@p346 @p345) :args (true @t176)) % 0.35/0.90 (step @p348 :rule cnf_equiv_pos2 :args (@t67)) % 0.35/0.90 (step @p349 :rule reordering :premises (@p348) :args ((or @t65 (not @t64) (not @t67)))) % 0.35/0.90 (step @p350 :rule cnf_or_pos :args (@t180)) % 0.35/0.90 (step @p351 :rule reordering :premises (@p350) :args ((or @t177 @t179 (not @t180)))) % 0.35/0.90 (step @p352 :rule instantiate :premises (@p64) :args (@t181)) % 0.35/0.90 (step @p353 :rule bool-double-not-elim :args (@t163)) % 0.35/0.90 (step @p354 :rule nary_cong :premises (@p312 @p353) :args ((or @t167 (not @t164)))) % 0.35/0.90 (step @p355 :rule cnf_or_neg :args (@t167 1)) % 0.35/0.90 (step @p356 :rule eq_resolve :premises (@p355 @p354)) % 0.35/0.90 (step @p357 :rule reordering :premises (@p356) :args ((or @t163 @t167))) % 0.35/0.90 (step @p358 :rule chain_m_resolution :premises (@p357 @p310) :args (@t163 @t116 @t169)) % 0.35/0.90 (step @p359 :rule cnf_or_pos :args (@t184)) % 0.35/0.90 (step @p360 :rule reordering :premises (@p359) :args ((or @t164 @t183 (not @t184)))) % 0.35/0.90 (step @p361 :rule chain_m_resolution :premises (@p360 @p358 @p352) :args (@t183 @t113 (@list @t163 @t184))) % 0.35/0.90 (step @p362 :rule instantiate :premises (@p64) :args (@t185)) % 0.35/0.90 (step @p363 :rule eq-symm :args (@t186 @t109)) % 0.35/0.90 (step @p364 :rule refl :args (@t27)) % 0.35/0.90 (step @p365 :rule cong :premises (@p364 @p363) :args ((=> @t27 @t187))) % 0.35/0.90 (assume-push @p962 @t27) % 0.35/0.90 (step @p367 :rule instantiate :premises (@p10) :args (@t78)) % 0.35/0.90 (step-pop @p963 :rule scope :premises (@p367)) % 0.35/0.90 (step @p368 :rule process_scope :premises (@p963) :args (@t187)) % 0.35/0.90 (step @p370 :rule eq_resolve :premises (@p368 @p365)) % 0.35/0.90 (step @p371 :rule implies_elim :premises (@p370)) % 0.35/0.90 (step @p372 :rule chain_m_resolution :premises (@p371 @p10) :args (@t188 @t68 (@list @t27))) % 0.35/0.90 (step @p373 :rule cnf_equiv_pos1 :args (@t188)) % 0.35/0.90 (step @p374 :rule reordering :premises (@p373) :args ((or @t110 @t186 (not @t188)))) % 0.35/0.90 (step @p375 :rule chain_m_resolution :premises (@p374 @p173 @p372) :args (@t186 @t113 (@list @t109 @t188))) % 0.35/0.90 (step @p376 :rule cnf_or_pos :args (@t190)) % 0.35/0.90 (step @p377 :rule reordering :premises (@p376) :args ((or @t149 @t189 (not @t190)))) % 0.35/0.90 (assume-push @p964 @t122) % 0.35/0.90 (step @p379 :rule instantiate :premises (@p964) :args (@t108)) % 0.35/0.90 (step-pop @p965 :rule scope :premises (@p379)) % 0.35/0.90 (step @p380 :rule process_scope :premises (@p965) :args (@t151)) % 0.35/0.90 (step @p382 :rule implies_elim :premises (@p380)) % 0.35/0.90 (assume-push @p966 @t134) % 0.35/0.90 (step @p384 :rule instantiate :premises (@p966) :args (@t108)) % 0.35/0.90 (step-pop @p967 :rule scope :premises (@p384)) % 0.35/0.90 (step @p385 :rule process_scope :premises (@p967) :args (@t190)) % 0.35/0.90 (step @p387 :rule implies_elim :premises (@p385)) % 0.35/0.90 (step @p388 :rule cnf_and_pos :args (@t123 1)) % 0.35/0.90 (step @p389 :rule reordering :premises (@p388) :args ((or @t122 @t124))) % 0.35/0.90 (step @p390 :rule cnf_and_pos :args (@t136 1)) % 0.35/0.90 (step @p391 :rule reordering :premises (@p390) :args ((or @t134 @t139))) % 0.35/0.90 (step @p194 :rule instantiate :premises (@p24) :args (@t72)) % 0.35/0.90 (step @p220 :rule instantiate :premises (@p218) :args (@t72)) % 0.35/0.90 (step @p204 :rule skolemize :premises (@p14)) % 0.35/0.90 (step @p392 :rule chain_m_resolution :premises (@p210 @p204 @p225 @p220 @p199 @p194 @p391 @p389 @p387 @p382 @p377 @p375 @p243 @p190) :args (@t149 (@list true true false true false true true true true true false true false) (@list @t131 @t130 @t137 @t126 @t127 @t136 @t123 @t134 @t122 @t190 @t186 @t151 @t117))) % 0.35/0.90 (step @p393 :rule cnf_or_pos :args (@t193)) % 0.35/0.90 (step @p394 :rule reordering :premises (@p393) :args ((or @t153 @t192 (not @t193)))) % 0.35/0.90 (step @p395 :rule chain_m_resolution :premises (@p394 @p392 @p362) :args (@t192 @t113 (@list @t149 @t193))) % 0.35/0.90 (step @p396 :rule cnf_equiv_pos2 :args (@t137)) % 0.35/0.90 (step @p397 :rule reordering :premises (@p396) :args ((or @t130 @t139 @t138))) % 0.35/0.90 (assume-push @p968 @t122) % 0.35/0.90 (step @p399 :rule instantiate :premises (@p968) :args ((@list @t194))) % 0.35/0.90 (step-pop @p969 :rule scope :premises (@p399)) % 0.35/0.90 (step @p400 :rule process_scope :premises (@p969) :args (@t198)) % 0.35/0.90 (step @p402 :rule implies_elim :premises (@p400)) % 0.35/0.90 (assume-push @p970 @t122) % 0.35/0.90 (step @p404 :rule instantiate :premises (@p970) :args (@t199)) % 0.35/0.90 (step-pop @p971 :rule scope :premises (@p404)) % 0.35/0.90 (step @p405 :rule process_scope :premises (@p971) :args (@t203)) % 0.35/0.90 (step @p407 :rule implies_elim :premises (@p405)) % 0.35/0.90 (step @p408 :rule bool-double-not-elim :args (@t204)) % 0.35/0.90 (step @p409 :rule refl :args (@t206)) % 0.35/0.90 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or @t206 (not @t205)))) % 0.35/0.90 (step @p411 :rule cnf_or_neg :args (@t206 0)) % 0.35/0.90 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 0.35/0.90 (step @p413 :rule reordering :premises (@p412) :args ((or @t204 @t206))) % 0.35/0.90 (step @p414 :rule cnf_or_neg :args (@t206 1)) % 0.35/0.90 (step @p415 :rule instantiate :premises (@p10) :args (@t207)) % 0.35/0.90 (step @p416 :rule cnf_equiv_pos1 :args (@t209)) % 0.35/0.90 (step @p417 :rule reordering :premises (@p416) :args ((or @t205 @t208 (not @t209)))) % 0.35/0.90 (step @p418 :rule cnf_or_pos :args (@t198)) % 0.35/0.90 (step @p419 :rule reordering :premises (@p418) :args ((or @t195 @t197 @t210))) % 0.35/0.90 (step @p420 :rule cnf_or_pos :args (@t212)) % 0.35/0.90 (step @p421 :rule reordering :premises (@p420) :args ((or @t211 @t92 (not @t212)))) % 0.35/0.90 (step @p422 :rule instantiate :premises (@p50) :args (@t207)) % 0.35/0.90 (step @p423 :rule bool-double-not-elim :args (@t213)) % 0.35/0.90 (step @p424 :rule refl :args (@t196)) % 0.35/0.90 (step @p425 :rule refl :args (@t216)) % 0.35/0.90 (step @p426 :rule nary_cong :premises (@p425 @p424 @p423) :args ((or @t216 @t196 (not @t214)))) % 0.35/0.90 (step @p427 :rule cnf_equiv_pos2 :args (@t215)) % 0.35/0.90 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 0.35/0.90 (step @p429 :rule reordering :premises (@p428) :args ((or @t196 @t213 @t216))) % 0.35/0.90 (assume-push @p972 @t213) % 0.35/0.90 (step @p431 :rule instantiate :premises (@p972) :args (@t84)) % 0.35/0.90 (step-pop @p973 :rule scope :premises (@p431)) % 0.35/0.90 (step @p432 :rule process_scope :premises (@p973) :args (@t212)) % 0.35/0.90 (step @p434 :rule implies_elim :premises (@p432)) % 0.35/0.90 (step @p435 :rule chain_m_resolution :premises (@p434 @p429 @p422 @p421 @p419 @p417 @p415 @p414 @p413) :args ((or @t206 @t210 @t92) (@list false false true true false false true false) (@list @t213 @t215 @t212 @t196 @t208 @t209 @t195 @t204))) % 0.35/0.90 (step @p436 :rule instantiate :premises (@p50) :args (@t61)) % 0.35/0.90 (step @p437 :rule instantiate :premises (@p1) :args (@t199)) % 0.35/0.90 (step @p438 :rule cnf_or_pos :args (@t219)) % 0.35/0.90 (step @p439 :rule reordering :premises (@p438) :args ((or @t166 @t218 @t220))) % 0.35/0.90 (step @p440 :rule chain_m_resolution :premises (@p439 @p317 @p437) :args (@t220 @t113 (@list @t165 @t217))) % 0.35/0.90 (assume-push @p974 @t221) % 0.35/0.90 (step @p442 :rule instantiate :premises (@p974) :args ((@list @t56))) % 0.35/0.90 (step-pop @p975 :rule scope :premises (@p442)) % 0.35/0.90 (step @p443 :rule process_scope :premises (@p975) :args (@t219)) % 0.35/0.90 (step @p445 :rule implies_elim :premises (@p443)) % 0.35/0.90 (step @p446 :rule chain_m_resolution :premises (@p445 @p440) :args (@t222 @t116 (@list @t219))) % 0.35/0.90 (step @p447 :rule bool-double-not-elim :args (@t221)) % 0.35/0.90 (step @p448 :rule refl :args (@t201)) % 0.35/0.90 (step @p449 :rule refl :args (@t224)) % 0.35/0.90 (step @p450 :rule nary_cong :premises (@p449 @p448 @p447) :args ((or @t224 @t201 (not @t222)))) % 0.35/0.90 (step @p451 :rule cnf_equiv_pos2 :args (@t223)) % 0.35/0.90 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 0.35/0.90 (step @p453 :rule reordering :premises (@p452) :args ((or @t201 @t221 @t224))) % 0.35/0.90 (step @p454 :rule chain_m_resolution :premises (@p453 @p446 @p436) :args (@t201 @t120 (@list @t221 @t223))) % 0.35/0.90 (step @p455 :rule cnf_or_pos :args (@t203)) % 0.35/0.90 (step @p456 :rule reordering :premises (@p455) :args ((or @t200 @t202 (not @t203)))) % 0.35/0.90 (step @p457 :rule refl :args (@t225)) % 0.35/0.90 (step @p458 :rule bool-double-not-elim :args (@t134)) % 0.35/0.90 (step @p459 :rule nary_cong :premises (@p458 @p457) :args ((or (not @t226) @t225))) % 0.35/0.90 (assume-push @p976 @t226) % 0.35/0.90 (step @p461 :rule skolemize :premises (@p976)) % 0.35/0.90 (step-pop @p977 :rule scope :premises (@p461)) % 0.35/0.90 (step @p462 :rule process_scope :premises (@p977) :args (@t225)) % 0.35/0.90 (step @p464 :rule implies_elim :premises (@p462)) % 0.35/0.90 (step @p465 :rule eq_resolve :premises (@p464 @p459)) % 0.35/0.90 (step @p466 :rule aci_norm :args ((= (or (or @t20 @t16) @t10) @t227))) % 0.35/0.90 (step @p467 :rule refl :args (@t10)) % 0.35/0.90 (step @p468 :rule bool-and-de-morgan :args (@t6 @t11 true)) % 0.35/0.90 (step @p469 :rule nary_cong :premises (@p468 @p467) :args ((or (not @t12) @t10))) % 0.35/0.90 (step @p470 :rule trans :premises (@p469 @p466)) % 0.35/0.90 (step @p471 :rule bool-impl-elim :args (@t12 @t10)) % 0.35/0.90 (step @p472 :rule trans :premises (@p471 @p470)) % 0.35/0.90 (step @p473 :rule cong :premises (@p472) :args (@t14)) % 0.35/0.90 (step @p474 :rule eq_resolve :premises (@p3 @p473)) % 0.35/0.90 (step @p475 :rule eq-symm :args (@t57 @t51)) % 0.35/0.90 (step @p476 :rule refl :args (@t228)) % 0.35/0.90 (step @p477 :rule refl :args (@t164)) % 0.35/0.90 (step @p478 :rule nary_cong :premises (@p477 @p476 @p475) :args (@t229)) % 0.35/0.90 (step @p479 :rule refl :args (@t230)) % 0.35/0.90 (step @p480 :rule cong :premises (@p479 @p478) :args ((=> @t230 @t229))) % 0.35/0.90 (assume-push @p978 @t230) % 0.35/0.90 (step @p482 :rule instantiate :premises (@p474) :args (@t181)) % 0.35/0.90 (step-pop @p979 :rule scope :premises (@p482)) % 0.35/0.90 (step @p483 :rule process_scope :premises (@p979) :args (@t229)) % 0.35/0.90 (step @p485 :rule eq_resolve :premises (@p483 @p480)) % 0.35/0.90 (step @p486 :rule implies_elim :premises (@p485)) % 0.35/0.90 (step @p487 :rule chain_m_resolution :premises (@p486 @p474) :args (@t232 @t68 @t233)) % 0.35/0.90 (step @p488 :rule cnf_or_pos :args (@t232)) % 0.35/0.90 (step @p489 :rule reordering :premises (@p488) :args ((or @t164 @t228 @t231 (not @t232)))) % 0.35/0.90 (assume-push @p980 @t103) % 0.35/0.90 (assume-push @p981 @t171) % 0.35/0.90 (assume-push @p982 @t171) % 0.35/0.90 (assume-push @p983 @t103) % 0.35/0.90 (step @p494 :rule true_intro :premises (@p981)) % 0.35/0.90 (step @p332 :rule refl :args (@t56)) % 0.35/0.90 (step @p495 :rule symm :premises (@p980)) % 0.35/0.90 (step @p496 :rule cong :premises (@p495 @p332) :args (@t64)) % 0.35/0.90 (step @p497 :rule trans :premises (@p496 @p494)) % 0.35/0.90 (step @p498 :rule true_elim :premises (@p497)) % 0.35/0.90 (step-pop @p984 :rule scope :premises (@p498)) % 0.35/0.90 (step-pop @p985 :rule scope :premises (@p984)) % 0.35/0.90 (step @p499 :rule process_scope :premises (@p985) :args (@t64)) % 0.35/0.90 (step @p502 :rule and_intro :premises (@p981 @p980)) % 0.35/0.90 (step @p503 :rule modus_ponens :premises (@p502 @p499)) % 0.35/0.90 (step-pop @p986 :rule scope :premises (@p503)) % 0.35/0.90 (step-pop @p987 :rule scope :premises (@p986)) % 0.35/0.90 (step @p504 :rule process_scope :premises (@p987) :args (@t64)) % 0.35/0.90 (step @p507 :rule implies_elim :premises (@p504)) % 0.35/0.90 (step @p508 :rule cnf_and_neg :args (@t234)) % 0.35/0.90 (step @p509 :rule resolution :premises (@p508 @p507) :args (true @t234)) % 0.35/0.90 (assume-push @p988 @t231) % 0.35/0.90 (assume-push @p989 @t201) % 0.35/0.90 (assume-push @p990 @t201) % 0.35/0.90 (assume-push @p991 @t231) % 0.35/0.90 (step @p514 :rule true_intro :premises (@p989)) % 0.35/0.90 (step @p136 :rule refl :args (@t52)) % 0.35/0.90 (step @p99 :rule refl :args (@t53)) % 0.35/0.90 (step @p515 :rule cong :premises (@p99 @p136 @p988) :args (@t73)) % 0.35/0.90 (step @p516 :rule trans :premises (@p515 @p514)) % 0.35/0.90 (step @p517 :rule true_elim :premises (@p516)) % 0.35/0.90 (step-pop @p992 :rule scope :premises (@p517)) % 0.35/0.90 (step-pop @p993 :rule scope :premises (@p992)) % 0.35/0.90 (step @p518 :rule process_scope :premises (@p993) :args (@t73)) % 0.35/0.90 (step @p521 :rule and_intro :premises (@p989 @p988)) % 0.35/0.90 (step @p522 :rule modus_ponens :premises (@p521 @p518)) % 0.35/0.90 (step-pop @p994 :rule scope :premises (@p522)) % 0.35/0.90 (step-pop @p995 :rule scope :premises (@p994)) % 0.35/0.90 (step @p523 :rule process_scope :premises (@p995) :args (@t73)) % 0.35/0.90 (step @p526 :rule implies_elim :premises (@p523)) % 0.35/0.90 (step @p527 :rule cnf_and_neg :args (@t235)) % 0.35/0.90 (step @p528 :rule resolution :premises (@p527 @p526) :args (true @t235)) % 0.35/0.90 (step @p529 :rule reordering :premises (@p528) :args ((or @t73 @t236 @t202))) % 0.35/0.90 (step @p530 :rule cnf_and_neg :args (@t123)) % 0.35/0.90 (step @p531 :rule cnf_equiv_pos2 :args (@t127)) % 0.35/0.90 (step @p532 :rule reordering :premises (@p531) :args ((or @t126 @t124 @t128))) % 0.35/0.90 (step @p533 :rule cnf_equiv_neg2 :args (@t131)) % 0.35/0.90 (step @p534 :rule cnf_and_neg :args (@t136)) % 0.35/0.90 (step @p229 :rule instantiate :premises (@p10) :args (@t72)) % 0.35/0.90 (step @p535 :rule cnf_equiv_pos2 :args (@t141)) % 0.35/0.90 (step @p536 :rule reordering :premises (@p535) :args ((or @t135 @t145 @t142))) % 0.35/0.90 (assume-push @p996 @t231) % 0.35/0.90 (assume-push @p997 @t65) % 0.35/0.90 (assume-push @p998 @t65) % 0.35/0.90 (assume-push @p999 @t231) % 0.35/0.90 (step @p541 :rule true_intro :premises (@p997)) % 0.35/0.90 (step @p542 :rule refl :args (@t63)) % 0.35/0.90 (step @p543 :rule cong :premises (@p542 @p996) :args (@t140)) % 0.35/0.90 (step @p544 :rule trans :premises (@p543 @p541)) % 0.35/0.90 (step @p545 :rule true_elim :premises (@p544)) % 0.35/0.90 (step-pop @p1000 :rule scope :premises (@p545)) % 0.35/0.90 (step-pop @p1001 :rule scope :premises (@p1000)) % 0.35/0.90 (step @p546 :rule process_scope :premises (@p1001) :args (@t140)) % 0.35/0.90 (step @p549 :rule and_intro :premises (@p997 @p996)) % 0.35/0.90 (step @p550 :rule modus_ponens :premises (@p549 @p546)) % 0.35/0.90 (step-pop @p1002 :rule scope :premises (@p550)) % 0.35/0.90 (step-pop @p1003 :rule scope :premises (@p1002)) % 0.35/0.90 (step @p551 :rule process_scope :premises (@p1003) :args (@t140)) % 0.35/0.90 (step @p554 :rule implies_elim :premises (@p551)) % 0.35/0.90 (step @p555 :rule cnf_and_neg :args (@t237)) % 0.35/0.90 (step @p556 :rule resolution :premises (@p555 @p554) :args (true @t237)) % 0.35/0.90 (step @p557 :rule reordering :premises (@p556) :args ((or @t140 @t236 @t177))) % 0.35/0.90 (step @p558 :rule chain_m_resolution :premises (@p557 @p536 @p229 @p534 @p397 @p220 @p533 @p204 @p532 @p194 @p530 @p349 @p41 @p529 @p509 @p489 @p487 @p456 @p453 @p436 @p445 @p322 @p439 @p437 @p319 @p42 @p357 @p316 @p407) :args ((or @t226 (not @t122) @t167 @t106) (@list true false true true false true true false false false false false false false false false false false false true false true false false false false false false) (@list @t140 @t141 @t135 @t136 @t137 @t130 @t131 @t126 @t127 @t123 @t65 @t67 @t73 @t64 @t231 @t232 @t200 @t201 @t223 @t221 @t171 @t219 @t217 @t172 @t173 @t163 @t165 @t203))) % 0.35/0.90 (step @p559 :rule chain_m_resolution :premises (@p347 @p326 @p349 @p41 @p67 @p65 @p557 @p126 @p124 @p536 @p229 @p129 @p127 @p534 @p558 @p310 @p489 @p487 @p358 @p465 @p456 @p454 @p435 @p172 @p407 @p402 @p389 @p199 @p194 @p397 @p220 @p210 @p204) :args (@t130 (@list false true false false false true false false true false true false true true true false false false false false false false false false false false false false true false false true) (@list @t170 @t64 @t67 @t82 @t83 @t65 @t80 @t101 @t140 @t141 @t100 @t104 @t135 @t103 @t167 @t231 @t232 @t163 @t134 @t200 @t201 @t206 @t90 @t203 @t198 @t122 @t123 @t127 @t136 @t137 @t126 @t131))) % 0.35/0.90 (step @p560 :rule chain_m_resolution :premises (@p533 @p204 @p559) :args (@t129 @t120 (@list @t131 @t130))) % 0.35/0.90 (step @p561 :rule instantiate :premises (@p30) :args (@t185)) % 0.35/0.90 (step @p562 :rule chain_m_resolution :premises (@p225 @p559 @p220) :args (@t136 @t113 (@list @t130 @t137))) % 0.35/0.90 (step @p563 :rule chain_m_resolution :premises (@p227 @p562) :args (@t135 @t68 (@list @t136))) % 0.35/0.90 (step @p564 :rule chain_m_resolution :premises (@p234 @p563 @p229) :args (@t140 @t113 (@list @t135 @t141))) % 0.35/0.90 (step @p565 :rule cnf_or_pos :args (@t239)) % 0.35/0.90 (step @p566 :rule reordering :premises (@p565) :args ((or @t145 @t238 (not @t239)))) % 0.35/0.90 (step @p567 :rule chain_m_resolution :premises (@p566 @p564 @p561) :args (@t238 @t113 (@list @t140 @t239))) % 0.35/0.90 (step @p568 :rule refl :args (@t241)) % 0.35/0.90 (step @p569 :rule refl :args (@t242)) % 0.35/0.90 (step @p570 :rule refl :args (@t243)) % 0.35/0.90 (step @p571 :rule refl :args (@t244)) % 0.35/0.90 (step @p572 :rule refl :args (@t245)) % 0.35/0.90 (step @p573 :rule bool-double-not-elim :args (@t126)) % 0.35/0.90 (step @p574 :rule nary_cong :premises (@p573 @p572 @p571 @p570 @p569 @p568) :args ((or (not @t129) @t245 @t244 @t243 @t242 @t241))) % 0.35/0.90 (assume-push @p1004 @t129) % 0.35/0.90 (assume-push @p1005 @t183) % 0.35/0.90 (assume-push @p1006 @t192) % 0.35/0.90 (assume-push @p1007 @t238) % 0.35/0.90 (assume-push @p1008 @t179) % 0.35/0.90 (assume-push @p1009 @t129) % 0.35/0.90 (assume-push @p1010 @t238) % 0.35/0.90 (assume-push @p1011 @t192) % 0.35/0.90 (assume-push @p1012 @t183) % 0.35/0.90 (assume-push @p1013 @t179) % 0.35/0.90 (step @p585 :rule false_intro :premises (@p1004)) % 0.35/0.90 (step @p586 :rule symm :premises (@p1007)) % 0.35/0.90 (step @p587 :rule trans :premises (@p1006 @p586)) % 0.35/0.90 (step @p136 :rule refl :args (@t52)) % 0.35/0.90 (step @p99 :rule refl :args (@t53)) % 0.35/0.90 (step @p588 :rule cong :premises (@p99 @p136 @p587) :args ((tptp.minsol_model_ub @t53 @t52 @t63))) % 0.35/0.90 (step @p589 :rule symm :premises (@p1006)) % 0.35/0.90 (step @p590 :rule symm :premises (@p1005)) % 0.35/0.90 (step @p591 :rule refl :args (@t57)) % 0.35/0.90 (step @p592 :rule cong :premises (@p591 @p587) :args (@t178)) % 0.35/0.90 (step @p593 :rule trans :premises (@p1008 @p592 @p590 @p1007 @p589)) % 0.35/0.90 (step @p594 :rule cong :premises (@p99 @p136 @p593) :args (@t240)) % 0.35/0.90 (step @p595 :rule trans :premises (@p594 @p588 @p585)) % 0.35/0.90 (step @p596 :rule false_elim :premises (@p595)) % 0.35/0.90 (step-pop @p1014 :rule scope :premises (@p596)) % 0.35/0.90 (step-pop @p1015 :rule scope :premises (@p1014)) % 0.35/0.90 (step-pop @p1016 :rule scope :premises (@p1015)) % 0.35/0.90 (step-pop @p1017 :rule scope :premises (@p1016)) % 0.35/0.90 (step-pop @p1018 :rule scope :premises (@p1017)) % 0.35/0.90 (step @p597 :rule process_scope :premises (@p1018) :args (@t241)) % 0.35/0.90 (step @p603 :rule and_intro :premises (@p1004 @p1007 @p1006 @p1005 @p1008)) % 0.35/0.90 (step @p604 :rule modus_ponens :premises (@p603 @p597)) % 0.35/0.90 (step-pop @p1019 :rule scope :premises (@p604)) % 0.35/0.90 (step-pop @p1020 :rule scope :premises (@p1019)) % 0.35/0.90 (step-pop @p1021 :rule scope :premises (@p1020)) % 0.35/0.90 (step-pop @p1022 :rule scope :premises (@p1021)) % 0.35/0.90 (step-pop @p1023 :rule scope :premises (@p1022)) % 0.35/0.90 (step @p605 :rule process_scope :premises (@p1023) :args (@t241)) % 0.35/0.90 (step @p611 :rule implies_elim :premises (@p605)) % 0.35/0.90 (step @p612 :rule cnf_and_neg :args (@t246)) % 0.35/0.90 (step @p613 :rule resolution :premises (@p612 @p611) :args (true @t246)) % 0.35/0.90 (step @p614 :rule eq_resolve :premises (@p613 @p574)) % 0.35/0.90 (step @p615 :rule reordering :premises (@p614) :args ((or @t126 @t245 @t244 @t243 @t241 @t242))) % 0.35/0.90 (step @p616 :rule cnf_equiv_pos2 :args (@t248)) % 0.35/0.90 (step @p617 :rule reordering :premises (@p616) :args ((or @t240 @t249 (not @t248)))) % 0.35/0.90 (step @p618 :rule cnf_and_neg :args (@t247)) % 0.35/0.90 (step @p619 :rule reordering :premises (@p618) :args ((or @t202 @t247 @t250))) % 0.35/0.90 (step @p620 :rule refl :args (@t255)) % 0.35/0.90 (step @p621 :rule bool-double-not-elim :args (@t59)) % 0.35/0.90 (step @p622 :rule nary_cong :premises (@p621 @p620) :args ((or (not @t250) @t255))) % 0.35/0.90 (assume-push @p1024 @t250) % 0.35/0.90 (step @p624 :rule skolemize :premises (@p1024)) % 0.35/0.90 (step-pop @p1025 :rule scope :premises (@p624)) % 0.35/0.90 (step @p625 :rule process_scope :premises (@p1025) :args (@t255)) % 0.35/0.90 (step @p627 :rule implies_elim :premises (@p625)) % 0.35/0.90 (step @p628 :rule eq_resolve :premises (@p627 @p622)) % 0.35/0.90 (step @p629 :rule bool-double-not-elim :args (@t252)) % 0.35/0.90 (step @p630 :rule refl :args (@t254)) % 0.35/0.90 (step @p631 :rule nary_cong :premises (@p630 @p629) :args ((or @t254 (not @t253)))) % 0.35/0.90 (step @p632 :rule cnf_or_neg :args (@t254 0)) % 0.35/0.90 (step @p633 :rule eq_resolve :premises (@p632 @p631)) % 0.35/0.90 (step @p634 :rule reordering :premises (@p633) :args ((or @t252 @t254))) % 0.35/0.90 (step @p635 :rule cnf_or_neg :args (@t254 1)) % 0.35/0.90 (step @p636 :rule instantiate :premises (@p50) :args ((@list @t53 @t52 @t60))) % 0.35/0.90 (step @p637 :rule cnf_equiv_pos1 :args (@t258)) % 0.35/0.90 (step @p638 :rule reordering :premises (@p637) :args ((or @t253 @t257 (not @t258)))) % 0.35/0.90 (step @p639 :rule cnf_or_pos :args (@t260)) % 0.35/0.90 (step @p640 :rule reordering :premises (@p639) :args ((or @t251 @t259 (not @t260)))) % 0.35/0.90 (step @p641 :rule refl :args (@t268)) % 0.35/0.90 (step @p642 :rule bool-double-not-elim :args (@t256)) % 0.35/0.90 (step @p643 :rule nary_cong :premises (@p642 @p641) :args ((or (not @t257) @t268))) % 0.35/0.90 (assume-push @p1026 @t257) % 0.35/0.90 (step @p645 :rule skolemize :premises (@p1026)) % 0.35/0.90 (step-pop @p1027 :rule scope :premises (@p645)) % 0.35/0.90 (step @p646 :rule process_scope :premises (@p1027) :args (@t268)) % 0.35/0.90 (step @p648 :rule implies_elim :premises (@p646)) % 0.35/0.90 (step @p649 :rule eq_resolve :premises (@p648 @p643)) % 0.35/0.90 (step @p650 :rule bool-double-not-elim :args (@t265)) % 0.35/0.90 (step @p651 :rule refl :args (@t267)) % 0.35/0.90 (step @p652 :rule nary_cong :premises (@p651 @p650) :args ((or @t267 (not @t266)))) % 0.35/0.90 (step @p653 :rule cnf_or_neg :args (@t267 0)) % 0.35/0.90 (step @p654 :rule eq_resolve :premises (@p653 @p652)) % 0.35/0.90 (step @p655 :rule reordering :premises (@p654) :args ((or @t265 @t267))) % 0.35/0.90 (step @p656 :rule bool-double-not-elim :args (@t263)) % 0.35/0.90 (step @p657 :rule nary_cong :premises (@p651 @p656) :args ((or @t267 (not @t264)))) % 0.35/0.90 (step @p658 :rule cnf_or_neg :args (@t267 1)) % 0.35/0.90 (step @p659 :rule eq_resolve :premises (@p658 @p657)) % 0.35/0.90 (step @p660 :rule reordering :premises (@p659) :args ((or @t263 @t267))) % 0.35/0.90 (step @p661 :rule instantiate :premises (@p9) :args ((@list @t53 @t52 @t261))) % 0.35/0.90 (step @p662 :rule cnf_equiv_pos1 :args (@t272)) % 0.35/0.90 (step @p663 :rule reordering :premises (@p662) :args ((or @t266 @t271 (not @t272)))) % 0.35/0.90 (step @p664 :rule cnf_and_pos :args (@t271 1)) % 0.35/0.90 (step @p665 :rule reordering :premises (@p664) :args ((or @t269 @t273))) % 0.35/0.90 (assume-push @p1028 @t82) % 0.35/0.90 (assume-push @p1029 @t269) % 0.35/0.90 (assume-push @p1030 @t269) % 0.35/0.90 (assume-push @p1031 @t82) % 0.35/0.90 (step @p670 :rule true_intro :premises (@p1029)) % 0.35/0.90 (step @p671 :rule refl :args (@t261)) % 0.35/0.90 (step @p672 :rule symm :premises (@p1028)) % 0.35/0.90 (step @p673 :rule cong :premises (@p672 @p671) :args (@t274)) % 0.35/0.90 (step @p674 :rule trans :premises (@p673 @p670)) % 0.35/0.90 (step @p675 :rule true_elim :premises (@p674)) % 0.35/0.90 (step-pop @p1032 :rule scope :premises (@p675)) % 0.35/0.90 (step-pop @p1033 :rule scope :premises (@p1032)) % 0.35/0.90 (step @p676 :rule process_scope :premises (@p1033) :args (@t274)) % 0.35/0.90 (step @p679 :rule and_intro :premises (@p1029 @p1028)) % 0.35/0.90 (step @p680 :rule modus_ponens :premises (@p679 @p676)) % 0.35/0.90 (step-pop @p1034 :rule scope :premises (@p680)) % 0.35/0.90 (step-pop @p1035 :rule scope :premises (@p1034)) % 0.35/0.90 (step @p681 :rule process_scope :premises (@p1035) :args (@t274)) % 0.35/0.90 (step @p684 :rule implies_elim :premises (@p681)) % 0.35/0.90 (step @p685 :rule cnf_and_neg :args (@t275)) % 0.35/0.90 (step @p686 :rule resolution :premises (@p685 @p684) :args (true @t275)) % 0.35/0.90 (step @p687 :rule eq-symm :args (@t274 @t276)) % 0.35/0.90 (step @p688 :rule cong :premises (@p33 @p687) :args ((=> @t15 @t277))) % 0.35/0.90 (assume-push @p1036 @t15) % 0.35/0.90 (step @p690 :rule instantiate :premises (@p5) :args ((@list @t62 @t261 tptp.c))) % 0.35/0.90 (step-pop @p1037 :rule scope :premises (@p690)) % 0.35/0.90 (step @p691 :rule process_scope :premises (@p1037) :args (@t277)) % 0.35/0.90 (step @p693 :rule eq_resolve :premises (@p691 @p688)) % 0.35/0.90 (step @p694 :rule implies_elim :premises (@p693)) % 0.35/0.90 (step @p695 :rule chain_m_resolution :premises (@p694 @p5) :args (@t278 @t68 @t69)) % 0.35/0.90 (step @p696 :rule cnf_equiv_pos2 :args (@t278)) % 0.35/0.90 (step @p697 :rule reordering :premises (@p696) :args ((or @t276 (not @t274) (not @t278)))) % 0.35/0.90 (assume-push @p1038 @t183) % 0.35/0.90 (assume-push @p1039 @t192) % 0.35/0.90 (assume-push @p1040 @t238) % 0.35/0.90 (assume-push @p1041 @t179) % 0.35/0.90 (assume-push @p1042 @t276) % 0.35/0.90 (assume-push @p1043 @t276) % 0.35/0.90 (assume-push @p1044 @t192) % 0.35/0.90 (assume-push @p1045 @t238) % 0.35/0.90 (assume-push @p1046 @t183) % 0.35/0.90 (assume-push @p1047 @t179) % 0.35/0.90 (step @p708 :rule true_intro :premises (@p1042)) % 0.35/0.90 (step @p709 :rule refl :args (@t262)) % 0.35/0.90 (step @p710 :rule symm :premises (@p1039)) % 0.35/0.90 (step @p711 :rule trans :premises (@p1040 @p710)) % 0.35/0.90 (step @p712 :rule cong :premises (@p711 @p709) :args (@t279)) % 0.35/0.90 (step @p713 :rule symm :premises (@p711)) % 0.35/0.90 (step @p714 :rule symm :premises (@p1038)) % 0.35/0.90 (step @p591 :rule refl :args (@t57)) % 0.35/0.90 (step @p715 :rule cong :premises (@p591 @p713) :args (@t178)) % 0.35/0.90 (step @p716 :rule trans :premises (@p1041 @p715 @p714 @p1040 @p710)) % 0.35/0.90 (step @p717 :rule trans :premises (@p716 @p713)) % 0.35/0.90 (step @p718 :rule cong :premises (@p717 @p709) :args (@t280)) % 0.35/0.90 (step @p719 :rule trans :premises (@p718 @p712 @p708)) % 0.35/0.90 (step @p720 :rule true_elim :premises (@p719)) % 0.35/0.90 (step-pop @p1048 :rule scope :premises (@p720)) % 0.35/0.90 (step-pop @p1049 :rule scope :premises (@p1048)) % 0.35/0.90 (step-pop @p1050 :rule scope :premises (@p1049)) % 0.35/0.90 (step-pop @p1051 :rule scope :premises (@p1050)) % 0.35/0.90 (step-pop @p1052 :rule scope :premises (@p1051)) % 0.35/0.90 (step @p721 :rule process_scope :premises (@p1052) :args (@t280)) % 0.35/0.90 (step @p727 :rule and_intro :premises (@p1042 @p1039 @p1040 @p1038 @p1041)) % 0.35/0.90 (step @p728 :rule modus_ponens :premises (@p727 @p721)) % 0.35/0.90 (step-pop @p1053 :rule scope :premises (@p728)) % 0.35/0.90 (step-pop @p1054 :rule scope :premises (@p1053)) % 0.35/0.90 (step-pop @p1055 :rule scope :premises (@p1054)) % 0.35/0.90 (step-pop @p1056 :rule scope :premises (@p1055)) % 0.35/0.90 (step-pop @p1057 :rule scope :premises (@p1056)) % 0.35/0.90 (step @p729 :rule process_scope :premises (@p1057) :args (@t280)) % 0.35/0.90 (step @p735 :rule implies_elim :premises (@p729)) % 0.35/0.90 (step @p736 :rule cnf_and_neg :args (@t281)) % 0.35/0.90 (step @p737 :rule resolution :premises (@p736 @p735) :args (true @t281)) % 0.35/0.90 (step @p738 :rule reordering :premises (@p737) :args ((or @t245 @t244 @t243 @t242 @t280 @t282))) % 0.35/0.90 (step @p739 :rule aci_norm :args ((= (or (or @t20 @t283) @t3) (or @t20 @t283 @t3)))) % 0.35/0.90 (step @p740 :rule refl :args (@t3)) % 0.35/0.90 (step @p741 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.35/0.90 (step @p742 :rule nary_cong :premises (@p741 @p740) :args ((or (not @t7) @t3))) % 0.35/0.90 (step @p743 :rule trans :premises (@p742 @p739)) % 0.35/0.90 (step @p744 :rule bool-impl-elim :args (@t7 @t3)) % 0.35/0.90 (step @p745 :rule trans :premises (@p744 @p743)) % 0.35/0.90 (step @p746 :rule cong :premises (@p745) :args (@t9)) % 0.35/0.90 (step @p747 :rule eq_resolve :premises (@p2 @p746)) % 0.35/0.90 (step @p748 :rule instantiate :premises (@p747) :args ((@list @t60 @t57 @t262))) % 0.35/0.90 (step @p749 :rule cnf_or_pos :args (@t287)) % 0.35/0.90 (step @p750 :rule reordering :premises (@p749) :args ((or @t286 @t284 @t285 (not @t287)))) % 0.35/0.90 (step @p751 :rule eq-symm :args (@t262 @t60)) % 0.35/0.90 (step @p752 :rule refl :args (@t288)) % 0.35/0.90 (step @p753 :rule refl :args (@t264)) % 0.35/0.90 (step @p754 :rule nary_cong :premises (@p753 @p752 @p751) :args (@t289)) % 0.35/0.90 (step @p755 :rule cong :premises (@p479 @p754) :args ((=> @t230 @t289))) % 0.35/0.90 (assume-push @p1058 @t230) % 0.35/0.90 (step @p757 :rule instantiate :premises (@p474) :args ((@list @t262 @t60))) % 0.35/0.90 (step-pop @p1059 :rule scope :premises (@p757)) % 0.35/0.90 (step @p758 :rule process_scope :premises (@p1059) :args (@t289)) % 0.35/0.90 (step @p760 :rule eq_resolve :premises (@p758 @p755)) % 0.35/0.90 (step @p761 :rule implies_elim :premises (@p760)) % 0.35/0.90 (step @p762 :rule chain_m_resolution :premises (@p761 @p474) :args (@t291 @t68 @t233)) % 0.35/0.90 (step @p763 :rule cnf_or_pos :args (@t291)) % 0.35/0.90 (step @p764 :rule reordering :premises (@p763) :args ((or @t264 @t288 @t290 (not @t291)))) % 0.35/0.90 (step @p765 :rule instantiate :premises (@p64) :args ((@list @t53 @t56))) % 0.35/0.90 (step @p766 :rule cnf_or_pos :args (@t295)) % 0.35/0.90 (step @p767 :rule reordering :premises (@p766) :args ((or @t292 @t294 (not @t295)))) % 0.35/0.90 (step @p768 :rule chain_m_resolution :premises (@p767 @p323 @p765) :args (@t294 @t113 (@list @t171 @t295))) % 0.35/0.90 (step @p769 :rule refl :args (@t282)) % 0.35/0.90 (step @p770 :rule refl :args (@t296)) % 0.35/0.90 (step @p771 :rule bool-double-not-elim :args (@t251)) % 0.35/0.90 (step @p772 :rule refl :args (@t297)) % 0.35/0.90 (step @p773 :rule nary_cong :premises (@p572 @p772 @p571 @p570 @p771 @p569 @p770 @p769) :args ((or @t245 @t297 @t244 @t243 (not @t298) @t242 @t296 @t282))) % 0.35/0.90 (assume-push @p1060 @t298) % 0.35/0.90 (assume-push @p1061 @t294) % 0.35/0.90 (assume-push @p1062 @t179) % 0.35/0.90 (assume-push @p1063 @t192) % 0.35/0.90 (assume-push @p1064 @t238) % 0.35/0.90 (assume-push @p1065 @t183) % 0.35/0.90 (assume-push @p1066 @t290) % 0.35/0.90 (assume-push @p1067 @t276) % 0.35/0.90 (step @p256 :rule evaluate :args (@t159)) % 0.35/0.90 (step @p782 :rule false_intro :premises (@p1060)) % 0.35/0.90 (step @p783 :rule refl :args (@t60)) % 0.35/0.90 (step @p784 :rule symm :premises (@p1061)) % 0.35/0.90 (step @p785 :rule refl :args (tptp.c)) % 0.35/0.90 (step @p786 :rule cong :premises (@p785 @p784) :args (@t299)) % 0.35/0.90 (step @p787 :rule cong :premises (@p786 @p783) :args ((tptp.lesseq @t299 @t60))) % 0.35/0.90 (step @p788 :rule symm :premises (@p786)) % 0.35/0.90 (step @p789 :rule symm :premises (@p1062)) % 0.35/0.90 (step @p790 :rule symm :premises (@p1063)) % 0.35/0.90 (step @p791 :rule trans :premises (@p1064 @p790)) % 0.35/0.90 (step @p591 :rule refl :args (@t57)) % 0.35/0.90 (step @p792 :rule cong :premises (@p591 @p791) :args (@t182)) % 0.35/0.90 (step @p793 :rule symm :premises (@p1064)) % 0.35/0.90 (step @p794 :rule trans :premises (@p1063 @p793 @p1065 @p792 @p789)) % 0.35/0.90 (step @p795 :rule trans :premises (@p791 @p794 @p788)) % 0.35/0.90 (step @p796 :rule cong :premises (@p795 @p783) :args ((tptp.lesseq @t51 @t60))) % 0.35/0.90 (step @p797 :rule symm :premises (@p1066)) % 0.35/0.90 (step @p798 :rule symm :premises (@p791)) % 0.35/0.90 (step @p799 :rule symm :premises (@p794)) % 0.35/0.90 (step @p800 :rule trans :premises (@p799 @p798)) % 0.35/0.90 (step @p801 :rule cong :premises (@p800 @p797) :args (@t280)) % 0.35/0.90 (step @p709 :rule refl :args (@t262)) % 0.35/0.90 (step @p802 :rule symm :premises (@p800)) % 0.35/0.90 (step @p803 :rule cong :premises (@p802 @p709) :args (@t279)) % 0.35/0.90 (step @p804 :rule cong :premises (@p798 @p709) :args (@t276)) % 0.35/0.90 (step @p805 :rule true_intro :premises (@p1067)) % 0.35/0.90 (step @p806 :rule symm :premises (@p805)) % 0.35/0.90 (step @p807 :rule trans :premises (@p806 @p804 @p803 @p801 @p796 @p787 @p782)) % 0.35/0.90 (step @p808 false :rule eq_resolve :premises (@p807 @p256)) % 0.35/0.90 (step-pop @p1068 :rule scope :premises (@p808)) % 0.35/0.90 (step-pop @p1069 :rule scope :premises (@p1068)) % 0.35/0.90 (step-pop @p1070 :rule scope :premises (@p1069)) % 0.35/0.90 (step-pop @p1071 :rule scope :premises (@p1070)) % 0.35/0.90 (step-pop @p1072 :rule scope :premises (@p1071)) % 0.35/0.90 (step-pop @p1073 :rule scope :premises (@p1072)) % 0.35/0.90 (step-pop @p1074 :rule scope :premises (@p1073)) % 0.35/0.90 (step-pop @p1075 :rule scope :premises (@p1074)) % 0.35/0.90 (step @p809 :rule process_scope :premises (@p1075) :args (false)) % 0.35/0.90 (assume-push @p1076 @t183) % 0.35/0.90 (assume-push @p1077 @t294) % 0.35/0.90 (assume-push @p1078 @t192) % 0.35/0.90 (assume-push @p1079 @t238) % 0.35/0.90 (assume-push @p1080 @t298) % 0.35/0.90 (assume-push @p1081 @t179) % 0.35/0.90 (assume-push @p1082 @t290) % 0.35/0.90 (assume-push @p1083 @t276) % 0.35/0.90 (step @p826 :rule and_intro :premises (@p1080 @p1077 @p1081 @p1078 @p1079 @p1076 @p1082 @p1083)) % 0.35/0.90 (step-pop @p1084 :rule scope :premises (@p826)) % 0.35/0.90 (step-pop @p1085 :rule scope :premises (@p1084)) % 0.35/0.90 (step-pop @p1086 :rule scope :premises (@p1085)) % 0.35/0.90 (step-pop @p1087 :rule scope :premises (@p1086)) % 0.35/0.90 (step-pop @p1088 :rule scope :premises (@p1087)) % 0.35/0.90 (step-pop @p1089 :rule scope :premises (@p1088)) % 0.35/0.90 (step-pop @p1090 :rule scope :premises (@p1089)) % 0.35/0.90 (step-pop @p1091 :rule scope :premises (@p1090)) % 0.35/0.90 (step @p827 :rule process_scope :premises (@p1091) :args (@t300)) % 0.35/0.90 (step @p836 :rule implies_elim :premises (@p827)) % 0.35/0.90 (step @p837 :rule resolution :premises (@p836 @p809) :args (true @t300)) % 0.35/0.90 (step @p838 :rule not_and :premises (@p837)) % 0.35/0.90 (step @p839 :rule eq_resolve :premises (@p838 @p773)) % 0.35/0.90 (step @p840 :rule chain_m_resolution :premises (@p839 @p567 @p395 @p768 @p361 @p764 @p762 @p750 @p748 @p738 @p567 @p395 @p361 @p697 @p695 @p686 @p665 @p663 @p661 @p660 @p655 @p649 @p640 @p16 @p638 @p636 @p635 @p634 @p628 @p619 @p454 @p617 @p25 @p615 @p567 @p560 @p395 @p361 @p351 @p31 @p349 @p41 @p347 @p326) :args (@t91 (@list false false false false false false false false false false false false false false false false false false false false true false false true false true false true true false true false true false true false false false false false false false false) (@list @t238 @t192 @t294 @t183 @t290 @t291 @t284 @t287 @t280 @t238 @t192 @t183 @t276 @t278 @t274 @t269 @t271 @t272 @t263 @t265 @t267 @t259 @t260 @t256 @t258 @t251 @t252 @t254 @t59 @t201 @t247 @t248 @t240 @t238 @t126 @t192 @t183 @t179 @t180 @t65 @t67 @t64 @t170))) % 0.35/0.90 (step @p841 :rule chain_m_resolution :premises (@p67 @p840 @p65) :args (@t81 @t120 (@list @t82 @t83))) % 0.35/0.90 (step @p842 :rule chain_m_resolution :premises (@p126 @p841 @p124) :args (@t100 @t120 (@list @t80 @t101))) % 0.35/0.90 (step @p843 :rule chain_m_resolution :premises (@p129 @p842 @p127) :args (@t103 @t113 (@list @t100 @t104))) % 0.35/0.90 (step @p844 :rule chain_m_resolution :premises (@p509 @p843 @p323) :args (@t64 @t113 (@list @t103 @t171))) % 0.35/0.90 (step @p845 :rule chain_m_resolution :premises (@p349 @p844 @p41) :args (@t65 @t113 (@list @t64 @t67))) % 0.35/0.90 (step @p846 :rule chain_m_resolution :premises (@p351 @p845 @p31) :args (@t179 @t113 (@list @t65 @t180))) % 0.35/0.90 (step @p847 :rule chain_m_resolution :premises (@p615 @p560 @p361 @p395 @p567 @p846) :args (@t241 (@list true false false false false) (@list @t126 @t183 @t192 @t238 @t179))) % 0.35/0.90 (step @p848 :rule chain_m_resolution :premises (@p617 @p847 @p25) :args (@t249 @t120 (@list @t240 @t248))) % 0.35/0.90 (step @p849 :rule chain_m_resolution :premises (@p619 @p454 @p848) :args (@t250 (@list false true) (@list @t201 @t247))) % 0.35/0.90 (step @p850 :rule chain_m_resolution :premises (@p628 @p849) :args (@t255 @t116 (@list @t59))) % 0.35/0.90 (step @p851 :rule chain_m_resolution :premises (@p635 @p850) :args (@t298 @t116 @t301)) % 0.35/0.90 (step @p852 :rule chain_m_resolution :premises (@p640 @p851 @p16) :args (@t259 @t120 (@list @t251 @t260))) % 0.35/0.90 (step @p853 :rule chain_m_resolution :premises (@p634 @p850) :args (@t252 @t116 @t301)) % 0.35/0.90 (step @p854 :rule chain_m_resolution :premises (@p638 @p853 @p636) :args (@t257 @t113 (@list @t252 @t258))) % 0.35/0.90 (step @p855 :rule chain_m_resolution :premises (@p649 @p854) :args (@t268 @t116 (@list @t256))) % 0.35/0.90 (step @p856 :rule chain_m_resolution :premises (@p655 @p855) :args (@t265 @t116 @t302)) % 0.35/0.90 (step @p857 :rule chain_m_resolution :premises (@p663 @p856 @p661) :args (@t271 @t113 (@list @t265 @t272))) % 0.35/0.90 (step @p858 :rule cnf_and_pos :args (@t271 0)) % 0.35/0.90 (step @p859 :rule reordering :premises (@p858) :args ((or @t270 @t273))) % 0.35/0.90 (step @p860 :rule chain_m_resolution :premises (@p859 @p857) :args (@t270 @t68 (@list @t271))) % 0.35/0.90 (assume-push @p1092 @t103) % 0.35/0.90 (assume-push @p1093 @t270) % 0.35/0.90 (assume-push @p1094 @t270) % 0.35/0.90 (assume-push @p1095 @t103) % 0.35/0.90 (step @p865 :rule true_intro :premises (@p1093)) % 0.35/0.90 (step @p671 :rule refl :args (@t261)) % 0.35/0.90 (step @p866 :rule symm :premises (@p1092)) % 0.35/0.90 (step @p867 :rule cong :premises (@p866 @p671) :args (@t274)) % 0.35/0.90 (step @p868 :rule trans :premises (@p867 @p865)) % 0.35/0.90 (step @p869 :rule true_elim :premises (@p868)) % 0.35/0.90 (step-pop @p1096 :rule scope :premises (@p869)) % 0.35/0.90 (step-pop @p1097 :rule scope :premises (@p1096)) % 0.35/0.90 (step @p870 :rule process_scope :premises (@p1097) :args (@t274)) % 0.35/0.90 (step @p873 :rule and_intro :premises (@p1093 @p1092)) % 0.35/0.90 (step @p874 :rule modus_ponens :premises (@p873 @p870)) % 0.35/0.90 (step-pop @p1098 :rule scope :premises (@p874)) % 0.35/0.90 (step-pop @p1099 :rule scope :premises (@p1098)) % 0.35/0.90 (step @p875 :rule process_scope :premises (@p1099) :args (@t274)) % 0.35/0.90 (step @p878 :rule implies_elim :premises (@p875)) % 0.35/0.90 (step @p879 :rule cnf_and_neg :args (@t303)) % 0.35/0.90 (step @p880 :rule resolution :premises (@p879 @p878) :args (true @t303)) % 0.35/0.90 (step @p881 :rule chain_m_resolution :premises (@p880 @p843 @p860) :args (@t274 @t113 (@list @t103 @t270))) % 0.35/0.90 (step @p882 :rule chain_m_resolution :premises (@p697 @p881 @p695) :args (@t276 @t113 (@list @t274 @t278))) % 0.35/0.90 (step @p883 :rule chain_m_resolution :premises (@p738 @p361 @p395 @p567 @p846 @p882) :args (@t280 (@list false false false false false) (@list @t183 @t192 @t238 @t179 @t276))) % 0.35/0.90 (step @p884 :rule chain_m_resolution :premises (@p839 @p361 @p768 @p395 @p567 @p851 @p846 @p882) :args (@t296 (@list false false false false true false false) (@list @t183 @t294 @t192 @t238 @t251 @t179 @t276))) % 0.35/0.90 (step @p885 :rule chain_m_resolution :premises (@p660 @p855) :args (@t263 @t116 @t302)) % 0.35/0.90 (step @p886 :rule chain_m_resolution :premises (@p764 @p885 @p884 @p762) :args (@t288 (@list false true false) (@list @t263 @t290 @t291))) % 0.35/0.90 (step @p887 false :rule chain_m_resolution :premises (@p750 @p886 @p883 @p748 @p852) :args (false (@list true false false false) (@list @t284 @t280 @t287 @t259))) % 0.35/0.90 ) % 0.35/0.90 % SZS output end Proof % 0.35/0.90 % cvc5 exiting %------------------------------------------------------------------------------