%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN006-6 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:22:52 AM UTC 2026 % Result : Unsatisfiable 3.54s 3.74s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN006-6 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n028.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 02:15:20 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.54/3.74 % SZS status Unsatisfiable % 3.54/3.74 % SZS output start Proof % 3.54/3.75 ( % 3.54/3.75 (declare-sort $$unsorted 0) % 3.54/3.75 (declare-const tptp.a $$unsorted) % 3.54/3.75 (declare-const tptp.d $$unsorted) % 3.54/3.75 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 3.54/3.75 (declare-const tptp.b $$unsorted) % 3.54/3.75 (declare-const tptp.identity $$unsorted) % 3.54/3.75 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 3.54/3.75 (declare-const tptp.zero $$unsorted) % 3.54/3.75 (define @t1 () (@var "Y" $$unsorted)) % 3.54/3.75 (define @t2 () (@var "X" $$unsorted)) % 3.54/3.75 (define @t3 () (tptp.divide @t2 @t1)) % 3.54/3.75 (define @t4 () (= @t3 tptp.zero)) % 3.54/3.75 (define @t5 () (tptp.less_equal @t2 @t1)) % 3.54/3.75 (define @t6 () (not @t5)) % 3.54/3.75 (define @t7 () (or @t6 @t4)) % 3.54/3.75 (define @t8 () (@list @t2 @t1)) % 3.54/3.75 (define @t9 () (forall @t8 @t7)) % 3.54/3.75 (define @t10 () (not @t4)) % 3.54/3.75 (define @t11 () (or @t10 @t5)) % 3.54/3.75 (define @t12 () (forall @t8 @t11)) % 3.54/3.75 (define @t13 () (@var "Z" $$unsorted)) % 3.54/3.75 (define @t14 () (@list @t2)) % 3.54/3.75 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 3.54/3.75 (define @t16 () (tptp.divide tptp.zero @t2)) % 3.54/3.75 (define @t17 () (forall @t14 (= @t16 tptp.zero))) % 3.54/3.75 (define @t18 () (tptp.divide @t2 @t2)) % 3.54/3.75 (define @t19 () (forall @t14 (= @t18 tptp.zero))) % 3.54/3.75 (define @t20 () (tptp.divide tptp.a tptp.b)) % 3.54/3.75 (define @t21 () (tptp.less_equal @t20 tptp.d)) % 3.54/3.75 (define @t22 () (tptp.divide tptp.a tptp.d)) % 3.54/3.75 (define @t23 () (tptp.less_equal @t22 tptp.b)) % 3.54/3.75 (define @t24 () (tptp.divide @t20 tptp.d)) % 3.54/3.75 (define @t25 () (= tptp.zero @t24)) % 3.54/3.75 (define @t26 () (not @t21)) % 3.54/3.75 (define @t27 () (or @t26 @t25)) % 3.54/3.75 (define @t28 () (@list false false)) % 3.54/3.75 (define @t29 () (tptp.divide @t22 tptp.a)) % 3.54/3.75 (define @t30 () (= tptp.zero @t29)) % 3.54/3.75 (define @t31 () (tptp.less_equal @t22 tptp.a)) % 3.54/3.75 (define @t32 () (not @t31)) % 3.54/3.75 (define @t33 () (or @t32 @t30)) % 3.54/3.75 (define @t34 () (tptp.divide @t22 tptp.b)) % 3.54/3.75 (define @t35 () (@list @t34 @t22)) % 3.54/3.75 (define @t36 () (@list @t22 tptp.b)) % 3.54/3.75 (define @t37 () (tptp.divide @t34 @t22)) % 3.54/3.75 (define @t38 () (= tptp.zero @t37)) % 3.54/3.75 (define @t39 () (tptp.less_equal @t34 @t22)) % 3.54/3.75 (define @t40 () (not @t39)) % 3.54/3.75 (define @t41 () (or @t40 @t38)) % 3.54/3.75 (define @t42 () (tptp.divide tptp.d tptp.b)) % 3.54/3.75 (define @t43 () (tptp.divide @t20 @t42)) % 3.54/3.75 (define @t44 () (tptp.divide @t43 @t20)) % 3.54/3.75 (define @t45 () (= tptp.zero @t44)) % 3.54/3.75 (define @t46 () (tptp.less_equal @t43 @t20)) % 3.54/3.75 (define @t47 () (not @t46)) % 3.54/3.75 (define @t48 () (or @t47 @t45)) % 3.54/3.75 (define @t49 () (tptp.divide tptp.b tptp.a)) % 3.54/3.75 (define @t50 () (tptp.divide @t34 tptp.a)) % 3.54/3.75 (define @t51 () (tptp.divide @t29 @t49)) % 3.54/3.75 (define @t52 () (@list @t51 @t50)) % 3.54/3.75 (define @t53 () (tptp.divide @t51 @t50)) % 3.54/3.75 (define @t54 () (= tptp.zero @t53)) % 3.54/3.75 (define @t55 () (tptp.less_equal @t51 @t50)) % 3.54/3.75 (define @t56 () (not @t55)) % 3.54/3.75 (define @t57 () (or @t56 @t54)) % 3.54/3.75 (define @t58 () (@list @t55 @t57)) % 3.54/3.75 (define @t59 () (tptp.less_equal @t34 @t37)) % 3.54/3.75 (define @t60 () (not @t59)) % 3.54/3.75 (define @t61 () (tptp.less_equal @t37 @t34)) % 3.54/3.75 (define @t62 () (not @t61)) % 3.54/3.75 (define @t63 () (= @t37 @t34)) % 3.54/3.75 (define @t64 () (or @t62 @t60 @t63)) % 3.54/3.75 (define @t65 () (= @t34 @t37)) % 3.54/3.75 (define @t66 () (or @t62 @t60 @t65)) % 3.54/3.75 (define @t67 () (@list false)) % 3.54/3.75 (define @t68 () (@list @t15)) % 3.54/3.75 (define @t69 () (not (= tptp.zero @t34))) % 3.54/3.75 (define @t70 () (or @t69 @t23)) % 3.54/3.75 (define @t71 () (@list true false)) % 3.54/3.75 (define @t72 () (tptp.divide @t34 @t37)) % 3.54/3.75 (define @t73 () (= tptp.zero @t72)) % 3.54/3.75 (define @t74 () (not @t73)) % 3.54/3.75 (define @t75 () (or @t74 @t59)) % 3.54/3.75 (define @t76 () (tptp.divide @t34 @t20)) % 3.54/3.75 (define @t77 () (@list @t44 @t76)) % 3.54/3.75 (define @t78 () (tptp.less_equal @t76 @t44)) % 3.54/3.75 (define @t79 () (tptp.less_equal @t44 @t76)) % 3.54/3.75 (define @t80 () (= tptp.zero (tptp.divide @t44 @t76))) % 3.54/3.75 (define @t81 () (not @t80)) % 3.54/3.75 (define @t82 () (or @t81 @t79)) % 3.54/3.75 (define @t83 () (= @t44 @t76)) % 3.54/3.75 (define @t84 () (not @t78)) % 3.54/3.75 (define @t85 () (not @t79)) % 3.54/3.75 (define @t86 () (or @t85 @t84 @t83)) % 3.54/3.75 (define @t87 () (@list false false false)) % 3.54/3.75 (define @t88 () (tptp.divide @t76 @t50)) % 3.54/3.75 (define @t89 () (tptp.divide @t20 @t50)) % 3.54/3.75 (define @t90 () (tptp.divide @t34 @t50)) % 3.54/3.75 (define @t91 () (tptp.divide @t90 @t89)) % 3.54/3.75 (define @t92 () (@list @t91 @t88)) % 3.54/3.75 (define @t93 () (= tptp.zero (tptp.divide @t91 @t88))) % 3.54/3.75 (define @t94 () (tptp.less_equal @t91 @t88)) % 3.54/3.75 (define @t95 () (not @t94)) % 3.54/3.75 (define @t96 () (or @t95 @t93)) % 3.54/3.75 (define @t97 () (tptp.divide tptp.a tptp.a)) % 3.54/3.75 (define @t98 () (tptp.divide tptp.zero @t49)) % 3.54/3.75 (define @t99 () (tptp.less_equal @t88 @t91)) % 3.54/3.75 (define @t100 () (= @t91 @t88)) % 3.54/3.75 (define @t101 () (not @t99)) % 3.54/3.75 (define @t102 () (or @t95 @t101 @t100)) % 3.54/3.75 (define @t103 () (tptp.divide @t20 tptp.a)) % 3.54/3.75 (define @t104 () (= tptp.zero @t103)) % 3.54/3.75 (define @t105 () (tptp.less_equal @t20 tptp.a)) % 3.54/3.75 (define @t106 () (not @t105)) % 3.54/3.75 (define @t107 () (or @t106 @t104)) % 3.54/3.75 (define @t108 () (tptp.divide @t50 @t103)) % 3.54/3.75 (define @t109 () (tptp.divide @t76 tptp.a)) % 3.54/3.75 (define @t110 () (@list @t108 @t109)) % 3.54/3.75 (define @t111 () (= tptp.zero (tptp.divide @t108 @t109))) % 3.54/3.75 (define @t112 () (tptp.less_equal @t108 @t109)) % 3.54/3.75 (define @t113 () (not @t112)) % 3.54/3.75 (define @t114 () (or @t113 @t111)) % 3.54/3.75 (define @t115 () (tptp.divide @t97 tptp.a)) % 3.54/3.75 (define @t116 () (= tptp.zero @t115)) % 3.54/3.75 (define @t117 () (tptp.less_equal @t97 tptp.a)) % 3.54/3.75 (define @t118 () (not @t117)) % 3.54/3.75 (define @t119 () (or @t118 @t116)) % 3.54/3.75 (define @t120 () (tptp.less_equal @t109 @t108)) % 3.54/3.75 (define @t121 () (= @t108 @t109)) % 3.54/3.75 (define @t122 () (not @t120)) % 3.54/3.75 (define @t123 () (or @t113 @t122 @t121)) % 3.54/3.75 (define @t124 () (tptp.less_equal @t50 @t51)) % 3.54/3.75 (define @t125 () (= tptp.zero (tptp.divide @t50 @t51))) % 3.54/3.75 (define @t126 () (not @t125)) % 3.54/3.75 (define @t127 () (or @t126 @t124)) % 3.54/3.75 (define @t128 () (= @t51 @t50)) % 3.54/3.75 (define @t129 () (not @t124)) % 3.54/3.75 (define @t130 () (or @t56 @t129 @t128)) % 3.54/3.75 (define @t131 () (tptp.less_equal @t90 @t91)) % 3.54/3.75 (define @t132 () (not @t131)) % 3.54/3.75 (define @t133 () (tptp.less_equal @t91 @t90)) % 3.54/3.75 (define @t134 () (not @t133)) % 3.54/3.75 (define @t135 () (or @t134 @t132 (= @t91 @t90))) % 3.54/3.75 (define @t136 () (= @t90 @t91)) % 3.54/3.75 (define @t137 () (or @t134 @t132 @t136)) % 3.54/3.75 (define @t138 () (tptp.divide tptp.d @t24)) % 3.54/3.75 (define @t139 () (tptp.divide tptp.b @t138)) % 3.54/3.75 (define @t140 () (tptp.less_equal tptp.d @t138)) % 3.54/3.75 (define @t141 () (not @t140)) % 3.54/3.75 (define @t142 () (tptp.less_equal @t138 tptp.d)) % 3.54/3.75 (define @t143 () (not @t142)) % 3.54/3.75 (define @t144 () (or @t143 @t141 (= @t138 tptp.d))) % 3.54/3.75 (define @t145 () (= tptp.d @t138)) % 3.54/3.75 (define @t146 () (or @t143 @t141 @t145)) % 3.54/3.75 (define @t147 () (tptp.divide @t24 @t138)) % 3.54/3.75 (define @t148 () (tptp.divide tptp.d @t138)) % 3.54/3.75 (define @t149 () (tptp.divide @t148 @t147)) % 3.54/3.75 (define @t150 () (tptp.less_equal @t148 @t149)) % 3.54/3.75 (define @t151 () (not @t150)) % 3.54/3.75 (define @t152 () (tptp.less_equal @t149 @t148)) % 3.54/3.75 (define @t153 () (not @t152)) % 3.54/3.75 (define @t154 () (or @t153 @t151 (= @t149 @t148))) % 3.54/3.75 (define @t155 () (= @t148 @t149)) % 3.54/3.75 (define @t156 () (or @t153 @t151 @t155)) % 3.54/3.75 (define @t157 () (@list @t148 @t147)) % 3.54/3.75 (define @t158 () (tptp.divide @t138 @t138)) % 3.54/3.75 (define @t159 () (tptp.less_equal @t158 @t149)) % 3.54/3.75 (define @t160 () (not @t159)) % 3.54/3.75 (define @t161 () (tptp.less_equal @t149 @t158)) % 3.54/3.75 (define @t162 () (not @t161)) % 3.54/3.75 (define @t163 () (or @t162 @t160 (= @t149 @t158))) % 3.54/3.75 (define @t164 () (@list @t149 @t158)) % 3.54/3.75 (define @t165 () (= @t158 @t149)) % 3.54/3.75 (define @t166 () (or @t162 @t160 @t165)) % 3.54/3.75 (define @t167 () (= tptp.zero (tptp.divide @t149 @t158))) % 3.54/3.75 (define @t168 () (or @t162 @t167)) % 3.54/3.75 (define @t169 () (@list @t138)) % 3.54/3.75 (define @t170 () (tptp.less_equal @t148 @t147)) % 3.54/3.75 (define @t171 () (= tptp.zero @t149)) % 3.54/3.75 (define @t172 () (not @t171)) % 3.54/3.75 (define @t173 () (or @t172 @t170)) % 3.54/3.75 (define @t174 () (= tptp.zero @t148)) % 3.54/3.75 (define @t175 () (not @t174)) % 3.54/3.75 (define @t176 () (or @t175 @t140)) % 3.54/3.75 (define @t177 () (tptp.divide tptp.b tptp.d)) % 3.54/3.75 (define @t178 () (tptp.divide @t22 @t177)) % 3.54/3.75 (define @t179 () (tptp.less_equal @t24 @t178)) % 3.54/3.75 (define @t180 () (not @t179)) % 3.54/3.75 (define @t181 () (tptp.less_equal @t178 @t24)) % 3.54/3.75 (define @t182 () (not @t181)) % 3.54/3.75 (define @t183 () (or @t182 @t180 (= @t178 @t24))) % 3.54/3.75 (define @t184 () (@list @t178 @t24)) % 3.54/3.75 (define @t185 () (= @t24 @t178)) % 3.54/3.75 (define @t186 () (or @t182 @t180 @t185)) % 3.54/3.75 (define @t187 () (= tptp.zero (tptp.divide @t178 @t24))) % 3.54/3.75 (define @t188 () (or @t182 @t187)) % 3.54/3.75 (define @t189 () (tptp.divide @t76 @t24)) % 3.54/3.75 (define @t190 () (tptp.divide @t34 @t24)) % 3.54/3.75 (define @t191 () (tptp.divide @t190 (tptp.divide @t20 @t24))) % 3.54/3.75 (define @t192 () (@list @t191 @t189)) % 3.54/3.75 (define @t193 () (= tptp.zero (tptp.divide @t191 @t189))) % 3.54/3.75 (define @t194 () (tptp.less_equal @t191 @t189)) % 3.54/3.75 (define @t195 () (not @t194)) % 3.54/3.75 (define @t196 () (or @t195 @t193)) % 3.54/3.75 (define @t197 () (tptp.less_equal @t189 @t191)) % 3.54/3.75 (define @t198 () (= @t191 @t189)) % 3.54/3.75 (define @t199 () (not @t197)) % 3.54/3.75 (define @t200 () (or @t195 @t199 @t198)) % 3.54/3.75 (define @t201 () (= tptp.zero (tptp.divide @t139 tptp.b))) % 3.54/3.75 (define @t202 () (tptp.less_equal @t139 tptp.b)) % 3.54/3.75 (define @t203 () (not @t202)) % 3.54/3.75 (define @t204 () (or @t203 @t201)) % 3.54/3.75 (define @t205 () (tptp.divide tptp.b @t22)) % 3.54/3.75 (define @t206 () (tptp.divide @t205 tptp.b)) % 3.54/3.75 (define @t207 () (= tptp.zero @t206)) % 3.54/3.75 (define @t208 () (tptp.less_equal @t205 tptp.b)) % 3.54/3.75 (define @t209 () (not @t208)) % 3.54/3.75 (define @t210 () (or @t209 @t207)) % 3.54/3.75 (define @t211 () (not @t136)) % 3.54/3.75 (define @t212 () (not @t100)) % 3.54/3.75 (define @t213 () (not @t128)) % 3.54/3.75 (define @t214 () (not @t83)) % 3.54/3.75 (define @t215 () (not @t54)) % 3.54/3.75 (define @t216 () (= tptp.zero @t98)) % 3.54/3.75 (define @t217 () (not @t216)) % 3.54/3.75 (define @t218 () (= tptp.zero @t97)) % 3.54/3.75 (define @t219 () (not @t218)) % 3.54/3.75 (define @t220 () (not @t45)) % 3.54/3.75 (define @t221 () (not @t38)) % 3.54/3.75 (define @t222 () (not @t30)) % 3.54/3.75 (define @t223 () (not @t25)) % 3.54/3.75 (define @t224 () (= tptp.zero @t91)) % 3.54/3.75 (define @t225 () (= tptp.zero @t90)) % 3.54/3.75 (define @t226 () (not @t225)) % 3.54/3.75 (define @t227 () (and @t25 @t224 @t136 @t226)) % 3.54/3.75 (assume @p1 @t9) % 3.54/3.75 (assume @p2 @t12) % 3.54/3.75 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 3.54/3.75 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 3.54/3.75 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 3.54/3.75 (assume @p6 @t15) % 3.54/3.75 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 3.54/3.75 (assume @p8 (forall @t14 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 3.54/3.75 (assume @p9 @t17) % 3.54/3.75 (assume @p10 @t19) % 3.54/3.75 (assume @p11 @t21) % 3.54/3.75 (assume @p12 (not @t23)) % 3.54/3.75 (step @p13 :rule eq-symm :args (@t3 tptp.zero)) % 3.54/3.75 (step @p14 :rule refl :args (@t6)) % 3.54/3.75 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t7)) % 3.54/3.75 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 3.54/3.75 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 3.54/3.75 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t20 tptp.d))) % 3.54/3.75 (step @p19 :rule cnf_or_pos :args (@t27)) % 3.54/3.75 (step @p20 :rule reordering :premises (@p19) :args ((or @t26 @t25 (not @t27)))) % 3.54/3.75 (step @p21 :rule chain_m_resolution :premises (@p20 @p11 @p18) :args (@t25 @t28 (@list @t21 @t27))) % 3.54/3.75 (step @p22 :rule instantiate :premises (@p17) :args ((@list @t22 tptp.a))) % 3.54/3.75 (step @p23 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.d))) % 3.54/3.75 (step @p24 :rule cnf_or_pos :args (@t33)) % 3.54/3.75 (step @p25 :rule reordering :premises (@p24) :args ((or @t32 @t30 (not @t33)))) % 3.54/3.75 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22) :args (@t30 @t28 (@list @t31 @t33))) % 3.54/3.75 (step @p27 :rule instantiate :premises (@p17) :args (@t35)) % 3.54/3.75 (step @p28 :rule instantiate :premises (@p3) :args (@t36)) % 3.54/3.75 (step @p29 :rule cnf_or_pos :args (@t41)) % 3.54/3.75 (step @p30 :rule reordering :premises (@p29) :args ((or @t40 @t38 (not @t41)))) % 3.54/3.75 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27) :args (@t38 @t28 (@list @t39 @t41))) % 3.54/3.75 (step @p32 :rule eq-symm :args (@t18 tptp.zero)) % 3.54/3.75 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 3.54/3.75 (step @p34 :rule eq_resolve :premises (@p10 @p33)) % 3.54/3.75 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.a))) % 3.54/3.75 (step @p36 :rule instantiate :premises (@p17) :args ((@list @t43 @t20))) % 3.54/3.75 (step @p37 :rule instantiate :premises (@p3) :args ((@list @t20 @t42))) % 3.54/3.75 (step @p38 :rule cnf_or_pos :args (@t48)) % 3.54/3.75 (step @p39 :rule reordering :premises (@p38) :args ((or @t47 @t45 (not @t48)))) % 3.54/3.75 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36) :args (@t45 @t28 (@list @t46 @t48))) % 3.54/3.75 (step @p41 :rule eq-symm :args (@t16 tptp.zero)) % 3.54/3.75 (step @p42 :rule cong :premises (@p41) :args (@t17)) % 3.54/3.75 (step @p43 :rule eq_resolve :premises (@p9 @p42)) % 3.54/3.75 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t49))) % 3.54/3.75 (step @p45 :rule instantiate :premises (@p17) :args (@t52)) % 3.54/3.75 (step @p46 :rule instantiate :premises (@p4) :args ((@list @t22 tptp.a tptp.b))) % 3.54/3.75 (step @p47 :rule cnf_or_pos :args (@t57)) % 3.54/3.75 (step @p48 :rule reordering :premises (@p47) :args ((or @t56 @t54 (not @t57)))) % 3.54/3.75 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45) :args (@t54 @t28 @t58)) % 3.54/3.75 (step @p50 :rule refl :args (@t5)) % 3.54/3.75 (step @p51 :rule cong :premises (@p13) :args (@t10)) % 3.54/3.75 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t11)) % 3.54/3.75 (step @p53 :rule cong :premises (@p52) :args (@t12)) % 3.54/3.75 (step @p54 :rule eq_resolve :premises (@p2 @p53)) % 3.54/3.75 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t34 @t37))) % 3.54/3.75 (step @p56 :rule eq-symm :args (@t37 @t34)) % 3.54/3.75 (step @p57 :rule refl :args (@t60)) % 3.54/3.75 (step @p58 :rule refl :args (@t62)) % 3.54/3.75 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args (@t64)) % 3.54/3.75 (step @p60 :rule refl :args (@t15)) % 3.54/3.75 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t15 @t64))) % 3.54/3.75 (assume-push @p471 @t15) % 3.54/3.75 (step @p63 :rule instantiate :premises (@p6) :args ((@list @t37 @t34))) % 3.54/3.75 (step-pop @p472 :rule scope :premises (@p63)) % 3.54/3.75 (step @p64 :rule process_scope :premises (@p472) :args (@t64)) % 3.54/3.75 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 3.54/3.75 (step @p67 :rule implies_elim :premises (@p66)) % 3.54/3.75 (step @p68 :rule chain_m_resolution :premises (@p67 @p6) :args (@t66 @t67 @t68)) % 3.54/3.75 (step @p69 :rule bool-eq-false :args (@t65)) % 3.54/3.75 (step @p70 :rule symm :premises (@p69)) % 3.54/3.75 (step @p71 :rule cong :premises (@p56) :args ((not @t63))) % 3.54/3.75 (step @p72 :rule bool-eq-false :args (@t63)) % 3.54/3.75 (step @p73 :rule trans :premises (@p72 @p71)) % 3.54/3.75 (step @p74 :rule trans :premises (@p73 @p70)) % 3.54/3.75 (step @p75 :rule instantiate :premises (@p54) :args (@t36)) % 3.54/3.75 (step @p76 :rule cnf_or_pos :args (@t70)) % 3.54/3.75 (step @p77 :rule reordering :premises (@p76) :args ((or @t23 @t69 (not @t70)))) % 3.54/3.75 (step @p78 :rule chain_m_resolution :premises (@p77 @p12 @p75) :args (@t69 @t71 (@list @t23 @t70))) % 3.54/3.75 (step @p79 :rule false_intro :premises (@p78)) % 3.54/3.75 (step @p80 :rule refl :args (@t34)) % 3.54/3.75 (step @p81 :rule symm :premises (@p31)) % 3.54/3.75 (step @p82 :rule cong :premises (@p81 @p80) :args (@t63)) % 3.54/3.75 (step @p83 :rule trans :premises (@p82 @p79)) % 3.54/3.75 (step @p84 :rule eq_resolve :premises (@p83 @p74)) % 3.54/3.75 (step @p85 :rule false_elim :premises (@p84)) % 3.54/3.75 (step @p86 :rule instantiate :premises (@p3) :args (@t35)) % 3.54/3.75 (step @p87 :rule cnf_or_pos :args (@t66)) % 3.54/3.75 (step @p88 :rule reordering :premises (@p87) :args ((or @t62 @t60 @t65 (not @t66)))) % 3.54/3.75 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85 @p68) :args (@t60 (@list false true false) (@list @t61 @t65 @t66))) % 3.54/3.75 (step @p90 :rule cnf_or_pos :args (@t75)) % 3.54/3.75 (step @p91 :rule reordering :premises (@p90) :args ((or @t59 @t74 (not @t75)))) % 3.54/3.75 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p55) :args (@t74 @t71 (@list @t59 @t75))) % 3.54/3.75 (step @p93 :rule instantiate :premises (@p6) :args (@t77)) % 3.54/3.75 (step @p94 :rule instantiate :premises (@p4) :args ((@list @t22 tptp.b tptp.a))) % 3.54/3.75 (step @p95 :rule true_intro :premises (@p94)) % 3.54/3.75 (step @p96 :rule refl :args (tptp.b)) % 3.54/3.75 (step @p97 :rule cong :premises (@p26 @p96) :args ((tptp.divide tptp.zero tptp.b))) % 3.54/3.75 (step @p98 :rule instantiate :premises (@p43) :args ((@list tptp.b))) % 3.54/3.75 (step @p99 :rule symm :premises (@p40)) % 3.54/3.75 (step @p100 :rule trans :premises (@p99 @p98 @p97)) % 3.54/3.75 (step @p101 :rule refl :args (@t76)) % 3.54/3.75 (step @p102 :rule cong :premises (@p101 @p100) :args (@t78)) % 3.54/3.75 (step @p103 :rule trans :premises (@p102 @p95)) % 3.54/3.75 (step @p104 :rule true_elim :premises (@p103)) % 3.54/3.75 (step @p105 :rule instantiate :premises (@p54) :args (@t77)) % 3.54/3.75 (step @p106 :rule cong :premises (@p40 @p101) :args ((tptp.divide tptp.zero @t76))) % 3.54/3.75 (step @p107 :rule instantiate :premises (@p43) :args ((@list @t76))) % 3.54/3.75 (step @p108 :rule trans :premises (@p107 @p106)) % 3.54/3.75 (step @p109 :rule cnf_or_pos :args (@t82)) % 3.54/3.75 (step @p110 :rule reordering :premises (@p109) :args ((or @t79 @t81 (not @t82)))) % 3.54/3.75 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p105) :args (@t79 @t28 (@list @t80 @t82))) % 3.54/3.75 (step @p112 :rule cnf_or_pos :args (@t86)) % 3.54/3.75 (step @p113 :rule reordering :premises (@p112) :args ((or @t85 @t84 @t83 (not @t86)))) % 3.54/3.75 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p104 @p93) :args (@t83 @t87 (@list @t79 @t78 @t86))) % 3.54/3.75 (step @p115 :rule instantiate :premises (@p6) :args (@t92)) % 3.54/3.75 (step @p116 :rule instantiate :premises (@p3) :args (@t92)) % 3.54/3.75 (step @p117 :rule true_intro :premises (@p116)) % 3.54/3.75 (step @p118 :rule refl :args (@t91)) % 3.54/3.75 (step @p119 :rule instantiate :premises (@p17) :args (@t92)) % 3.54/3.75 (step @p120 :rule instantiate :premises (@p4) :args ((@list @t34 @t50 @t20))) % 3.54/3.75 (step @p121 :rule cnf_or_pos :args (@t96)) % 3.54/3.75 (step @p122 :rule reordering :premises (@p121) :args ((or @t95 @t93 (not @t96)))) % 3.54/3.75 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p119) :args (@t93 @t28 (@list @t94 @t96))) % 3.54/3.75 (step @p124 :rule symm :premises (@p21)) % 3.54/3.75 (step @p125 :rule trans :premises (@p124 @p123)) % 3.54/3.75 (step @p126 :rule symm :premises (@p49)) % 3.54/3.75 (step @p127 :rule refl :args (@t50)) % 3.54/3.75 (step @p128 :rule refl :args (@t49)) % 3.54/3.75 (step @p129 :rule trans :premises (@p124 @p26)) % 3.54/3.75 (step @p130 :rule symm :premises (@p35)) % 3.54/3.75 (step @p131 :rule trans :premises (@p130 @p21)) % 3.54/3.75 (step @p132 :rule trans :premises (@p131 @p129)) % 3.54/3.75 (step @p133 :rule cong :premises (@p132 @p128) :args ((tptp.divide @t97 @t49))) % 3.54/3.75 (step @p134 :rule cong :premises (@p35 @p128) :args (@t98)) % 3.54/3.75 (step @p135 :rule trans :premises (@p124 @p44 @p134 @p133)) % 3.54/3.75 (step @p136 :rule symm :premises (@p114)) % 3.54/3.75 (step @p137 :rule trans :premises (@p136 @p99 @p21)) % 3.54/3.75 (step @p138 :rule trans :premises (@p137 @p135)) % 3.54/3.75 (step @p139 :rule cong :premises (@p138 @p127) :args (@t88)) % 3.54/3.75 (step @p140 :rule trans :premises (@p139 @p126 @p21)) % 3.54/3.75 (step @p141 :rule trans :premises (@p140 @p125)) % 3.54/3.75 (step @p142 :rule cong :premises (@p141 @p118) :args (@t99)) % 3.54/3.75 (step @p143 :rule trans :premises (@p142 @p117)) % 3.54/3.75 (step @p144 :rule true_elim :premises (@p143)) % 3.54/3.75 (step @p145 :rule cnf_or_pos :args (@t102)) % 3.54/3.75 (step @p146 :rule reordering :premises (@p145) :args ((or @t95 @t101 @t100 (not @t102)))) % 3.54/3.75 (step @p147 :rule chain_m_resolution :premises (@p146 @p120 @p144 @p115) :args (@t100 @t87 (@list @t94 @t99 @t102))) % 3.54/3.75 (step @p148 :rule instantiate :premises (@p6) :args (@t52)) % 3.54/3.75 (step @p149 :rule instantiate :premises (@p54) :args ((@list @t50 @t51))) % 3.54/3.75 (step @p150 :rule instantiate :premises (@p17) :args ((@list @t20 tptp.a))) % 3.54/3.75 (step @p151 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.b))) % 3.54/3.75 (step @p152 :rule cnf_or_pos :args (@t107)) % 3.54/3.75 (step @p153 :rule reordering :premises (@p152) :args ((or @t106 @t104 (not @t107)))) % 3.54/3.75 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p150) :args (@t104 @t28 (@list @t105 @t107))) % 3.54/3.75 (step @p155 :rule symm :premises (@p154)) % 3.54/3.75 (step @p156 :rule trans :premises (@p155 @p44 @p134 @p133)) % 3.54/3.75 (step @p157 :rule cong :premises (@p127 @p156) :args (@t108)) % 3.54/3.75 (step @p158 :rule instantiate :premises (@p6) :args (@t110)) % 3.54/3.75 (step @p159 :rule instantiate :premises (@p3) :args (@t110)) % 3.54/3.75 (step @p160 :rule true_intro :premises (@p159)) % 3.54/3.75 (step @p161 :rule refl :args (@t108)) % 3.54/3.75 (step @p162 :rule instantiate :premises (@p17) :args (@t110)) % 3.54/3.75 (step @p163 :rule instantiate :premises (@p4) :args ((@list @t34 tptp.a @t20))) % 3.54/3.75 (step @p164 :rule cnf_or_pos :args (@t114)) % 3.54/3.75 (step @p165 :rule reordering :premises (@p164) :args ((or @t113 @t111 (not @t114)))) % 3.54/3.75 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p162) :args (@t111 @t28 (@list @t112 @t114))) % 3.54/3.75 (step @p167 :rule trans :premises (@p124 @p166)) % 3.54/3.75 (step @p168 :rule instantiate :premises (@p17) :args ((@list @t97 tptp.a))) % 3.54/3.75 (step @p169 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.a))) % 3.54/3.75 (step @p170 :rule cnf_or_pos :args (@t119)) % 3.54/3.75 (step @p171 :rule reordering :premises (@p170) :args ((or @t118 @t116 (not @t119)))) % 3.54/3.75 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p168) :args (@t116 @t28 (@list @t117 @t119))) % 3.54/3.75 (step @p173 :rule symm :premises (@p172)) % 3.54/3.75 (step @p174 :rule refl :args (tptp.a)) % 3.54/3.75 (step @p175 :rule trans :premises (@p124 @p35)) % 3.54/3.75 (step @p176 :rule trans :premises (@p137 @p175)) % 3.54/3.75 (step @p177 :rule cong :premises (@p176 @p174) :args (@t109)) % 3.54/3.75 (step @p178 :rule trans :premises (@p177 @p173 @p21)) % 3.54/3.75 (step @p179 :rule trans :premises (@p178 @p167)) % 3.54/3.75 (step @p180 :rule cong :premises (@p179 @p161) :args (@t120)) % 3.54/3.75 (step @p181 :rule trans :premises (@p180 @p160)) % 3.54/3.75 (step @p182 :rule true_elim :premises (@p181)) % 3.54/3.75 (step @p183 :rule cnf_or_pos :args (@t123)) % 3.54/3.75 (step @p184 :rule reordering :premises (@p183) :args ((or @t113 @t122 @t121 (not @t123)))) % 3.54/3.75 (step @p185 :rule chain_m_resolution :premises (@p184 @p163 @p182 @p158) :args (@t121 @t87 (@list @t112 @t120 @t123))) % 3.54/3.75 (step @p186 :rule symm :premises (@p185)) % 3.54/3.75 (step @p187 :rule trans :premises (@p124 @p40 @p114)) % 3.54/3.75 (step @p188 :rule trans :premises (@p131 @p187)) % 3.54/3.75 (step @p189 :rule cong :premises (@p188 @p174) :args (@t115)) % 3.54/3.75 (step @p190 :rule trans :premises (@p172 @p189 @p186 @p157)) % 3.54/3.75 (step @p191 :rule cnf_or_pos :args (@t127)) % 3.54/3.75 (step @p192 :rule reordering :premises (@p191) :args ((or @t124 @t126 (not @t127)))) % 3.54/3.75 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p149) :args (@t124 @t28 (@list @t125 @t127))) % 3.54/3.75 (step @p194 :rule cnf_or_pos :args (@t130)) % 3.54/3.75 (step @p195 :rule reordering :premises (@p194) :args ((or @t56 @t129 @t128 (not @t130)))) % 3.54/3.75 (step @p196 :rule chain_m_resolution :premises (@p195 @p46 @p193 @p148) :args (@t128 @t87 (@list @t55 @t124 @t130))) % 3.54/3.75 (step @p197 :rule eq-symm :args (@t91 @t90)) % 3.54/3.75 (step @p198 :rule refl :args (@t132)) % 3.54/3.75 (step @p199 :rule refl :args (@t134)) % 3.54/3.75 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197) :args (@t135)) % 3.54/3.75 (step @p201 :rule cong :premises (@p60 @p200) :args ((=> @t15 @t135))) % 3.54/3.75 (assume-push @p473 @t15) % 3.54/3.75 (step @p203 :rule instantiate :premises (@p6) :args ((@list @t91 @t90))) % 3.54/3.75 (step-pop @p474 :rule scope :premises (@p203)) % 3.54/3.75 (step @p204 :rule process_scope :premises (@p474) :args (@t135)) % 3.54/3.75 (step @p206 :rule eq_resolve :premises (@p204 @p201)) % 3.54/3.75 (step @p207 :rule implies_elim :premises (@p206)) % 3.54/3.75 (step @p208 :rule chain_m_resolution :premises (@p207 @p6) :args (@t137 @t67 @t68)) % 3.54/3.75 (step @p209 :rule instantiate :premises (@p4) :args ((@list @t22 tptp.b @t139))) % 3.54/3.75 (step @p210 :rule true_intro :premises (@p209)) % 3.54/3.75 (step @p211 :rule eq-symm :args (@t138 tptp.d)) % 3.54/3.75 (step @p212 :rule refl :args (@t141)) % 3.54/3.75 (step @p213 :rule refl :args (@t143)) % 3.54/3.75 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211) :args (@t144)) % 3.54/3.75 (step @p215 :rule cong :premises (@p60 @p214) :args ((=> @t15 @t144))) % 3.54/3.75 (assume-push @p475 @t15) % 3.54/3.75 (step @p217 :rule instantiate :premises (@p6) :args ((@list @t138 tptp.d))) % 3.54/3.75 (step-pop @p476 :rule scope :premises (@p217)) % 3.54/3.75 (step @p218 :rule process_scope :premises (@p476) :args (@t144)) % 3.54/3.75 (step @p220 :rule eq_resolve :premises (@p218 @p215)) % 3.54/3.75 (step @p221 :rule implies_elim :premises (@p220)) % 3.54/3.75 (step @p222 :rule chain_m_resolution :premises (@p221 @p6) :args (@t146 @t67 @t68)) % 3.54/3.75 (step @p223 :rule instantiate :premises (@p54) :args ((@list tptp.d @t138))) % 3.54/3.75 (step @p224 :rule eq-symm :args (@t149 @t148)) % 3.54/3.75 (step @p225 :rule refl :args (@t151)) % 3.54/3.75 (step @p226 :rule refl :args (@t153)) % 3.54/3.75 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args (@t154)) % 3.54/3.75 (step @p228 :rule cong :premises (@p60 @p227) :args ((=> @t15 @t154))) % 3.54/3.75 (assume-push @p477 @t15) % 3.54/3.75 (step @p230 :rule instantiate :premises (@p6) :args ((@list @t149 @t148))) % 3.54/3.75 (step-pop @p478 :rule scope :premises (@p230)) % 3.54/3.75 (step @p231 :rule process_scope :premises (@p478) :args (@t154)) % 3.54/3.75 (step @p233 :rule eq_resolve :premises (@p231 @p228)) % 3.54/3.75 (step @p234 :rule implies_elim :premises (@p233)) % 3.54/3.75 (step @p235 :rule chain_m_resolution :premises (@p234 @p6) :args (@t156 @t67 @t68)) % 3.54/3.75 (step @p236 :rule instantiate :premises (@p54) :args (@t157)) % 3.54/3.75 (step @p237 :rule eq-symm :args (@t149 @t158)) % 3.54/3.75 (step @p238 :rule refl :args (@t160)) % 3.54/3.75 (step @p239 :rule refl :args (@t162)) % 3.54/3.75 (step @p240 :rule nary_cong :premises (@p239 @p238 @p237) :args (@t163)) % 3.54/3.75 (step @p241 :rule cong :premises (@p60 @p240) :args ((=> @t15 @t163))) % 3.54/3.75 (assume-push @p479 @t15) % 3.54/3.75 (step @p243 :rule instantiate :premises (@p6) :args (@t164)) % 3.54/3.75 (step-pop @p480 :rule scope :premises (@p243)) % 3.54/3.75 (step @p244 :rule process_scope :premises (@p480) :args (@t163)) % 3.54/3.75 (step @p246 :rule eq_resolve :premises (@p244 @p241)) % 3.54/3.75 (step @p247 :rule implies_elim :premises (@p246)) % 3.54/3.75 (step @p248 :rule chain_m_resolution :premises (@p247 @p6) :args (@t166 @t67 @t68)) % 3.54/3.75 (step @p249 :rule instantiate :premises (@p3) :args (@t164)) % 3.54/3.75 (step @p250 :rule true_intro :premises (@p249)) % 3.54/3.75 (step @p251 :rule refl :args (@t149)) % 3.54/3.75 (step @p252 :rule instantiate :premises (@p17) :args (@t164)) % 3.54/3.75 (step @p253 :rule instantiate :premises (@p4) :args ((@list tptp.d @t138 @t24))) % 3.54/3.75 (step @p254 :rule cnf_or_pos :args (@t168)) % 3.54/3.75 (step @p255 :rule reordering :premises (@p254) :args ((or @t162 @t167 (not @t168)))) % 3.54/3.75 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p252) :args (@t167 @t28 (@list @t161 @t168))) % 3.54/3.75 (step @p257 :rule trans :premises (@p124 @p256)) % 3.54/3.75 (step @p258 :rule instantiate :premises (@p34) :args (@t169)) % 3.54/3.75 (step @p259 :rule symm :premises (@p258)) % 3.54/3.75 (step @p260 :rule trans :premises (@p259 @p21)) % 3.54/3.75 (step @p261 :rule trans :premises (@p260 @p257)) % 3.54/3.75 (step @p262 :rule cong :premises (@p261 @p251) :args (@t159)) % 3.54/3.75 (step @p263 :rule trans :premises (@p262 @p250)) % 3.54/3.75 (step @p264 :rule true_elim :premises (@p263)) % 3.54/3.75 (step @p265 :rule cnf_or_pos :args (@t166)) % 3.54/3.75 (step @p266 :rule reordering :premises (@p265) :args ((or @t162 @t160 @t165 (not @t166)))) % 3.54/3.75 (step @p267 :rule chain_m_resolution :premises (@p266 @p253 @p264 @p248) :args (@t165 @t87 (@list @t161 @t159 @t166))) % 3.54/3.75 (step @p268 :rule trans :premises (@p258 @p267)) % 3.54/3.75 (step @p269 :rule cnf_or_pos :args (@t173)) % 3.54/3.75 (step @p270 :rule reordering :premises (@p269) :args ((or @t170 @t172 (not @t173)))) % 3.54/3.75 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p236) :args (@t170 @t28 (@list @t171 @t173))) % 3.54/3.75 (step @p272 :rule true_intro :premises (@p271)) % 3.54/3.75 (step @p273 :rule refl :args (@t138)) % 3.54/3.75 (step @p274 :rule cong :premises (@p21 @p273) :args ((tptp.divide tptp.zero @t138))) % 3.54/3.75 (step @p275 :rule instantiate :premises (@p43) :args (@t169)) % 3.54/3.75 (step @p276 :rule symm :premises (@p267)) % 3.54/3.75 (step @p277 :rule trans :premises (@p276 @p259 @p275 @p274)) % 3.54/3.75 (step @p278 :rule refl :args (@t148)) % 3.54/3.75 (step @p279 :rule cong :premises (@p278 @p277) :args (@t150)) % 3.54/3.75 (step @p280 :rule trans :premises (@p279 @p272)) % 3.54/3.75 (step @p281 :rule true_elim :premises (@p280)) % 3.54/3.75 (step @p282 :rule instantiate :premises (@p3) :args (@t157)) % 3.54/3.75 (step @p283 :rule cnf_or_pos :args (@t156)) % 3.54/3.75 (step @p284 :rule reordering :premises (@p283) :args ((or @t153 @t151 @t155 (not @t156)))) % 3.54/3.75 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p281 @p235) :args (@t155 @t87 (@list @t152 @t150 @t156))) % 3.54/3.75 (step @p286 :rule symm :premises (@p285)) % 3.54/3.75 (step @p287 :rule trans :premises (@p258 @p267 @p286)) % 3.54/3.75 (step @p288 :rule cnf_or_pos :args (@t176)) % 3.54/3.75 (step @p289 :rule reordering :premises (@p288) :args ((or @t140 @t175 (not @t176)))) % 3.54/3.75 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p223) :args (@t140 @t28 (@list @t174 @t176))) % 3.54/3.75 (step @p291 :rule instantiate :premises (@p3) :args ((@list tptp.d @t24))) % 3.54/3.75 (step @p292 :rule cnf_or_pos :args (@t146)) % 3.54/3.75 (step @p293 :rule reordering :premises (@p292) :args ((or @t143 @t141 @t145 (not @t146)))) % 3.54/3.75 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p290 @p222) :args (@t145 @t87 (@list @t142 @t140 @t146))) % 3.54/3.75 (step @p295 :rule cong :premises (@p96 @p294) :args (@t177)) % 3.54/3.75 (step @p296 :rule refl :args (@t22)) % 3.54/3.75 (step @p297 :rule cong :premises (@p296 @p295) :args (@t178)) % 3.54/3.75 (step @p298 :rule eq-symm :args (@t178 @t24)) % 3.54/3.75 (step @p299 :rule refl :args (@t180)) % 3.54/3.75 (step @p300 :rule refl :args (@t182)) % 3.54/3.75 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298) :args (@t183)) % 3.54/3.75 (step @p302 :rule cong :premises (@p60 @p301) :args ((=> @t15 @t183))) % 3.54/3.75 (assume-push @p481 @t15) % 3.54/3.75 (step @p304 :rule instantiate :premises (@p6) :args (@t184)) % 3.54/3.75 (step-pop @p482 :rule scope :premises (@p304)) % 3.54/3.75 (step @p305 :rule process_scope :premises (@p482) :args (@t183)) % 3.54/3.75 (step @p307 :rule eq_resolve :premises (@p305 @p302)) % 3.54/3.75 (step @p308 :rule implies_elim :premises (@p307)) % 3.54/3.75 (step @p309 :rule chain_m_resolution :premises (@p308 @p6) :args (@t186 @t67 @t68)) % 3.54/3.75 (step @p310 :rule instantiate :premises (@p3) :args (@t184)) % 3.54/3.75 (step @p311 :rule true_intro :premises (@p310)) % 3.54/3.75 (step @p312 :rule refl :args (@t178)) % 3.54/3.75 (step @p313 :rule instantiate :premises (@p17) :args (@t184)) % 3.54/3.75 (step @p314 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.d tptp.b))) % 3.54/3.75 (step @p315 :rule cnf_or_pos :args (@t188)) % 3.54/3.75 (step @p316 :rule reordering :premises (@p315) :args ((or @t182 @t187 (not @t188)))) % 3.54/3.75 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p313) :args (@t187 @t28 (@list @t181 @t188))) % 3.54/3.75 (step @p318 :rule trans :premises (@p124 @p317)) % 3.54/3.75 (step @p319 :rule cong :premises (@p318 @p312) :args (@t179)) % 3.54/3.75 (step @p320 :rule trans :premises (@p319 @p311)) % 3.54/3.75 (step @p321 :rule true_elim :premises (@p320)) % 3.54/3.75 (step @p322 :rule cnf_or_pos :args (@t186)) % 3.54/3.75 (step @p323 :rule reordering :premises (@p322) :args ((or @t182 @t180 @t185 (not @t186)))) % 3.54/3.75 (step @p324 :rule chain_m_resolution :premises (@p323 @p314 @p321 @p309) :args (@t185 @t87 (@list @t181 @t179 @t186))) % 3.54/3.75 (step @p325 :rule trans :premises (@p324 @p297)) % 3.54/3.75 (step @p326 :rule symm :premises (@p26)) % 3.54/3.75 (step @p327 :rule trans :premises (@p326 @p21)) % 3.54/3.75 (step @p328 :rule trans :premises (@p327 @p325)) % 3.54/3.75 (step @p329 :rule cong :premises (@p328 @p96) :args ((tptp.divide @t29 tptp.b))) % 3.54/3.75 (step @p330 :rule symm :premises (@p317)) % 3.54/3.75 (step @p331 :rule symm :premises (@p324)) % 3.54/3.75 (step @p332 :rule cong :premises (@p324 @p331) :args ((tptp.divide @t24 @t178))) % 3.54/3.75 (step @p333 :rule cong :premises (@p137 @p324) :args (@t189)) % 3.54/3.75 (step @p334 :rule instantiate :premises (@p6) :args (@t192)) % 3.54/3.75 (step @p335 :rule instantiate :premises (@p3) :args (@t192)) % 3.54/3.75 (step @p336 :rule true_intro :premises (@p335)) % 3.54/3.75 (step @p337 :rule refl :args (@t191)) % 3.54/3.75 (step @p338 :rule instantiate :premises (@p17) :args (@t192)) % 3.54/3.75 (step @p339 :rule instantiate :premises (@p4) :args ((@list @t34 @t24 @t20))) % 3.54/3.75 (step @p340 :rule cnf_or_pos :args (@t196)) % 3.54/3.75 (step @p341 :rule reordering :premises (@p340) :args ((or @t195 @t193 (not @t196)))) % 3.54/3.75 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p338) :args (@t193 @t28 (@list @t194 @t196))) % 3.54/3.75 (step @p343 :rule trans :premises (@p124 @p342)) % 3.54/3.75 (step @p344 :rule trans :premises (@p333 @p332 @p330 @p21)) % 3.54/3.75 (step @p345 :rule trans :premises (@p344 @p343)) % 3.54/3.75 (step @p346 :rule cong :premises (@p345 @p337) :args (@t197)) % 3.54/3.75 (step @p347 :rule trans :premises (@p346 @p336)) % 3.54/3.75 (step @p348 :rule true_elim :premises (@p347)) % 3.54/3.75 (step @p349 :rule cnf_or_pos :args (@t200)) % 3.54/3.75 (step @p350 :rule reordering :premises (@p349) :args ((or @t195 @t199 @t198 (not @t200)))) % 3.54/3.75 (step @p351 :rule chain_m_resolution :premises (@p350 @p339 @p348 @p334) :args (@t198 @t87 (@list @t194 @t197 @t200))) % 3.54/3.75 (step @p352 :rule trans :premises (@p351 @p333 @p332 @p330 @p98 @p97 @p329)) % 3.54/3.75 (step @p353 :rule instantiate :premises (@p17) :args ((@list @t139 tptp.b))) % 3.54/3.75 (step @p354 :rule instantiate :premises (@p3) :args ((@list tptp.b @t138))) % 3.54/3.75 (step @p355 :rule cnf_or_pos :args (@t204)) % 3.54/3.75 (step @p356 :rule reordering :premises (@p355) :args ((or @t203 @t201 (not @t204)))) % 3.54/3.75 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p353) :args (@t201 @t28 (@list @t202 @t204))) % 3.54/3.75 (step @p358 :rule trans :premises (@p81 @p357)) % 3.54/3.75 (step @p359 :rule cong :premises (@p80 @p358) :args (@t72)) % 3.54/3.75 (step @p360 :rule instantiate :premises (@p17) :args ((@list @t205 tptp.b))) % 3.54/3.75 (step @p361 :rule instantiate :premises (@p3) :args ((@list tptp.b @t22))) % 3.54/3.75 (step @p362 :rule cnf_or_pos :args (@t210)) % 3.54/3.75 (step @p363 :rule reordering :premises (@p362) :args ((or @t209 @t207 (not @t210)))) % 3.54/3.75 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p360) :args (@t207 @t28 (@list @t208 @t210))) % 3.54/3.75 (step @p365 :rule symm :premises (@p364)) % 3.54/3.75 (step @p366 :rule trans :premises (@p365 @p31)) % 3.54/3.75 (step @p367 :rule cong :premises (@p80 @p366) :args ((tptp.divide @t34 @t206))) % 3.54/3.75 (step @p368 :rule trans :premises (@p367 @p359)) % 3.54/3.75 (step @p369 :rule symm :premises (@p367)) % 3.54/3.75 (step @p370 :rule trans :premises (@p124 @p31)) % 3.54/3.75 (step @p371 :rule cong :premises (@p80 @p370) :args (@t190)) % 3.54/3.75 (step @p372 :rule trans :premises (@p371 @p369)) % 3.54/3.75 (step @p373 :rule trans :premises (@p372 @p368)) % 3.54/3.75 (step @p374 :rule cong :premises (@p373 @p352) :args ((tptp.less_equal @t190 @t191))) % 3.54/3.75 (step @p375 :rule symm :premises (@p351)) % 3.54/3.75 (step @p376 :rule symm :premises (@p333)) % 3.54/3.75 (step @p377 :rule symm :premises (@p332)) % 3.54/3.75 (step @p378 :rule trans :premises (@p147 @p139 @p126 @p317 @p377 @p376 @p375)) % 3.54/3.75 (step @p379 :rule symm :premises (@p372)) % 3.54/3.75 (step @p380 :rule symm :premises (@p44)) % 3.54/3.75 (step @p381 :rule symm :premises (@p134)) % 3.54/3.75 (step @p382 :rule symm :premises (@p133)) % 3.54/3.75 (step @p383 :rule symm :premises (@p196)) % 3.54/3.75 (step @p384 :rule trans :premises (@p383 @p382 @p381 @p380 @p31)) % 3.54/3.75 (step @p385 :rule cong :premises (@p80 @p384) :args (@t90)) % 3.54/3.75 (step @p386 :rule trans :premises (@p385 @p369)) % 3.54/3.75 (step @p387 :rule trans :premises (@p386 @p379)) % 3.54/3.75 (step @p388 :rule cong :premises (@p387 @p378) :args (@t131)) % 3.54/3.75 (step @p389 :rule trans :premises (@p388 @p374 @p210)) % 3.54/3.75 (step @p390 :rule true_elim :premises (@p389)) % 3.54/3.75 (step @p391 :rule instantiate :premises (@p3) :args ((@list @t90 @t89))) % 3.54/3.75 (step @p392 :rule cnf_or_pos :args (@t137)) % 3.54/3.75 (step @p393 :rule reordering :premises (@p392) :args ((or @t134 @t132 @t136 (not @t137)))) % 3.54/3.75 (step @p394 :rule chain_m_resolution :premises (@p393 @p391 @p390 @p208) :args (@t136 @t87 (@list @t133 @t131 @t137))) % 3.54/3.75 (step @p395 :rule refl :args (@t211)) % 3.54/3.75 (step @p396 :rule refl :args (@t212)) % 3.54/3.75 (step @p397 :rule refl :args (@t213)) % 3.54/3.75 (step @p398 :rule refl :args (@t214)) % 3.54/3.75 (step @p399 :rule bool-double-not-elim :args (@t73)) % 3.54/3.75 (step @p400 :rule refl :args (@t215)) % 3.54/3.75 (step @p401 :rule refl :args (@t217)) % 3.54/3.75 (step @p402 :rule refl :args (@t219)) % 3.54/3.75 (step @p403 :rule refl :args (@t220)) % 3.54/3.75 (step @p404 :rule refl :args (@t221)) % 3.54/3.75 (step @p405 :rule refl :args (@t222)) % 3.54/3.75 (step @p406 :rule refl :args (@t223)) % 3.54/3.75 (step @p407 :rule nary_cong :premises (@p406 @p405 @p404 @p403 @p402 @p401 @p400 @p399 @p398 @p397 @p396 @p395) :args ((or @t223 @t222 @t221 @t220 @t219 @t217 @t215 (not @t74) @t214 @t213 @t212 @t211))) % 3.54/3.75 (assume-push @p483 @t25) % 3.54/3.75 (assume-push @p484 @t224) % 3.54/3.75 (assume-push @p485 @t136) % 3.54/3.75 (assume-push @p486 @t226) % 3.54/3.75 (step @p412 :rule evaluate :args ((= false true))) % 3.54/3.75 (step @p413 :rule symm :premises (@p147)) % 3.54/3.75 (step @p414 :rule trans :premises (@p382 @p381 @p380 @p21)) % 3.54/3.75 (step @p415 :rule trans :premises (@p414 @p187)) % 3.54/3.75 (step @p416 :rule cong :premises (@p415 @p127) :args (@t53)) % 3.54/3.75 (step @p417 :rule chain_m_resolution :premises (@p48 @p46 @p45) :args (@t54 @t28 @t58)) % 3.54/3.75 (step @p418 :rule trans :premises (@p417 @p416 @p413)) % 3.54/3.75 (step @p419 :rule symm :premises (@p418)) % 3.54/3.75 (step @p420 :rule trans :premises (@p394 @p419 @p21)) % 3.54/3.75 (step @p421 :rule symm :premises (@p420)) % 3.54/3.75 (step @p422 :rule trans :premises (@p21 @p421)) % 3.54/3.75 (step @p423 :rule true_intro :premises (@p422)) % 3.54/3.75 (step @p424 :rule false_intro :premises (@p92)) % 3.54/3.75 (step @p425 :rule refl :args (tptp.zero)) % 3.54/3.75 (step @p426 :rule cong :premises (@p425 @p385) :args (@t225)) % 3.54/3.75 (step @p427 :rule trans :premises (@p426 @p424)) % 3.54/3.75 (step @p428 :rule symm :premises (@p427)) % 3.54/3.75 (step @p429 :rule trans :premises (@p428 @p423)) % 3.54/3.75 (step @p430 false :rule eq_resolve :premises (@p429 @p412)) % 3.54/3.75 (step-pop @p487 :rule scope :premises (@p430)) % 3.54/3.75 (step-pop @p488 :rule scope :premises (@p487)) % 3.54/3.75 (step-pop @p489 :rule scope :premises (@p488)) % 3.54/3.75 (step-pop @p490 :rule scope :premises (@p489)) % 3.54/3.75 (step @p431 :rule process_scope :premises (@p490) :args (false)) % 3.54/3.75 (assume-push @p491 @t25) % 3.54/3.75 (assume-push @p492 @t30) % 3.54/3.75 (assume-push @p493 @t38) % 3.54/3.75 (assume-push @p494 @t45) % 3.54/3.75 (assume-push @p495 @t218) % 3.54/3.75 (assume-push @p496 @t216) % 3.54/3.75 (assume-push @p497 @t54) % 3.54/3.75 (assume-push @p498 @t74) % 3.54/3.75 (assume-push @p499 @t83) % 3.54/3.75 (assume-push @p500 @t128) % 3.54/3.75 (assume-push @p501 @t100) % 3.54/3.75 (assume-push @p502 @t136) % 3.54/3.75 (step @p424 :rule false_intro :premises (@p92)) % 3.54/3.75 (step @p425 :rule refl :args (tptp.zero)) % 3.54/3.75 (step @p426 :rule cong :premises (@p425 @p385) :args (@t225)) % 3.54/3.75 (step @p448 :rule trans :premises (@p426 @p424)) % 3.54/3.75 (step @p449 :rule false_elim :premises (@p448)) % 3.54/3.75 (step @p413 :rule symm :premises (@p147)) % 3.54/3.75 (step @p414 :rule trans :premises (@p382 @p381 @p380 @p21)) % 3.54/3.75 (step @p415 :rule trans :premises (@p414 @p187)) % 3.54/3.75 (step @p416 :rule cong :premises (@p415 @p127) :args (@t53)) % 3.54/3.75 (step @p450 :rule trans :premises (@p49 @p416 @p413)) % 3.54/3.75 (step @p451 :rule and_intro :premises (@p21 @p450 @p394 @p449)) % 3.54/3.75 (step-pop @p503 :rule scope :premises (@p451)) % 3.54/3.75 (step-pop @p504 :rule scope :premises (@p503)) % 3.54/3.75 (step-pop @p505 :rule scope :premises (@p504)) % 3.54/3.75 (step-pop @p506 :rule scope :premises (@p505)) % 3.54/3.75 (step-pop @p507 :rule scope :premises (@p506)) % 3.54/3.75 (step-pop @p508 :rule scope :premises (@p507)) % 3.54/3.75 (step-pop @p509 :rule scope :premises (@p508)) % 3.54/3.75 (step-pop @p510 :rule scope :premises (@p509)) % 3.54/3.75 (step-pop @p511 :rule scope :premises (@p510)) % 3.54/3.75 (step-pop @p512 :rule scope :premises (@p511)) % 3.54/3.75 (step-pop @p513 :rule scope :premises (@p512)) % 3.54/3.75 (step-pop @p514 :rule scope :premises (@p513)) % 3.54/3.75 (step @p452 :rule process_scope :premises (@p514) :args (@t227)) % 3.54/3.75 (step @p465 :rule implies_elim :premises (@p452)) % 3.54/3.75 (step @p466 :rule resolution :premises (@p465 @p431) :args (true @t227)) % 3.54/3.75 (step @p467 :rule not_and :premises (@p466)) % 3.54/3.75 (step @p468 :rule eq_resolve :premises (@p467 @p407)) % 3.54/3.75 (step @p469 :rule reordering :premises (@p468) :args ((or @t223 @t222 @t221 @t219 @t220 @t217 @t73 @t215 @t214 @t213 @t212 @t211))) % 3.54/3.75 (step @p470 false :rule chain_m_resolution :premises (@p469 @p394 @p196 @p147 @p114 @p92 @p49 @p44 @p40 @p35 @p31 @p26 @p21) :args (false (@list false false false false true false false false false false false false) (@list @t136 @t128 @t100 @t83 @t73 @t54 @t216 @t45 @t218 @t38 @t30 @t25))) % 3.54/3.75 ) % 3.54/3.76 % SZS output end Proof % 3.54/3.77 % cvc5 exiting %------------------------------------------------------------------------------