%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT043_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:14:24 AM UTC 2026 % Result : Theorem 1.78s 2.08s % Output : Proof 1.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : DAT043_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 22:27:25 EDT 2026 % 0.16/0.36 % CPUTime : % 0.26/0.51 %----Proving TF0_ARI % 1.78/2.08 --- Run --finite-model-find --decision=internal at 45... % 1.78/2.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 1.78/2.08 % SZS status Theorem % 1.78/2.08 % SZS output start Proof % 1.78/2.08 ( % 1.78/2.08 (declare-sort tptp.collection 0) % 1.78/2.08 (declare-const tptp.count (-> tptp.collection Int)) % 1.78/2.08 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 1.78/2.08 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 1.78/2.08 (declare-const tptp.in (-> Int tptp.collection Bool)) % 1.78/2.08 (declare-const tptp.empty tptp.collection) % 1.78/2.08 (define @t1 () (@var "U" Int)) % 1.78/2.08 (define @t2 () (@var "W" tptp.collection)) % 1.78/2.08 (define @t3 () (@var "V" Int)) % 1.78/2.08 (define @t4 () (@var "Y" tptp.collection)) % 1.78/2.08 (define @t5 () (@var "X" Int)) % 1.78/2.08 (define @t6 () (@var "X1" tptp.collection)) % 1.78/2.08 (define @t7 () (@var "X2" Int)) % 1.78/2.08 (define @t8 () (@var "Z" Int)) % 1.78/2.08 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 1.78/2.08 (define @t10 () (@var "X4" tptp.collection)) % 1.78/2.08 (define @t11 () (@var "X5" Int)) % 1.78/2.08 (define @t12 () (@var "X3" Int)) % 1.78/2.08 (define @t13 () (@var "X6" tptp.collection)) % 1.78/2.08 (define @t14 () (@var "X7" tptp.collection)) % 1.78/2.08 (define @t15 () (= (tptp.count @t14) 0)) % 1.78/2.08 (define @t16 () (= (= @t14 tptp.empty) @t15)) % 1.78/2.08 (define @t17 () (forall (@list @t14) @t16)) % 1.78/2.08 (define @t18 () (@var "X9" tptp.collection)) % 1.78/2.08 (define @t19 () (@var "X8" Int)) % 1.78/2.08 (define @t20 () (@var "X11" tptp.collection)) % 1.78/2.08 (define @t21 () (@var "X10" Int)) % 1.78/2.08 (define @t22 () (@var "X13" tptp.collection)) % 1.78/2.08 (define @t23 () (tptp.count @t22)) % 1.78/2.08 (define @t24 () (- @t23 1)) % 1.78/2.08 (define @t25 () (@var "X12" Int)) % 1.78/2.08 (define @t26 () (tptp.count (tptp.remove @t25 @t22))) % 1.78/2.08 (define @t27 () (= @t26 @t24)) % 1.78/2.08 (define @t28 () (tptp.in @t25 @t22)) % 1.78/2.08 (define @t29 () (= @t28 @t27)) % 1.78/2.08 (define @t30 () (@list @t25 @t22)) % 1.78/2.08 (define @t31 () (forall @t30 @t29)) % 1.78/2.08 (define @t32 () (@var "X15" tptp.collection)) % 1.78/2.08 (define @t33 () (@var "X14" Int)) % 1.78/2.08 (define @t34 () (@var "X17" tptp.collection)) % 1.78/2.08 (define @t35 () (@var "X16" Int)) % 1.78/2.08 (define @t36 () (= @t34 (tptp.add @t35 (tptp.remove @t35 @t34)))) % 1.78/2.08 (define @t37 () (tptp.in @t35 @t34)) % 1.78/2.08 (define @t38 () (forall (@list @t35 @t34) (=> @t37 @t36))) % 1.78/2.08 (define @t39 () (@var "U" tptp.collection)) % 1.78/2.08 (define @t40 () (tptp.count @t39)) % 1.78/2.08 (define @t41 () (tptp.in @t5 @t39)) % 1.78/2.08 (define @t42 () (@var "W" Int)) % 1.78/2.08 (define @t43 () (tptp.in @t42 @t39)) % 1.78/2.08 (define @t44 () (tptp.in @t3 @t39)) % 1.78/2.08 (define @t45 () (and (> @t3 @t42) (> @t42 @t5) @t44 @t43 @t41)) % 1.78/2.08 (define @t46 () (=> @t45 (> @t40 2))) % 1.78/2.08 (define @t47 () (@list @t39 @t3 @t42 @t5)) % 1.78/2.08 (define @t48 () (forall @t47 @t46)) % 1.78/2.08 (define @t49 () (not @t48)) % 1.78/2.08 (define @t50 () (>= @t40 3)) % 1.78/2.08 (define @t51 () (not @t41)) % 1.78/2.08 (define @t52 () (not @t43)) % 1.78/2.08 (define @t53 () (not @t44)) % 1.78/2.08 (define @t54 () (* -1 @t42)) % 1.78/2.08 (define @t55 () (+ @t5 @t54)) % 1.78/2.08 (define @t56 () (>= @t55 0)) % 1.78/2.08 (define @t57 () (+ @t3 @t54)) % 1.78/2.08 (define @t58 () (>= @t57 1)) % 1.78/2.08 (define @t59 () (not @t58)) % 1.78/2.08 (define @t60 () (or @t59 @t56 @t53 @t52 @t51 @t50)) % 1.78/2.08 (define @t61 () (forall @t47 @t60)) % 1.78/2.08 (define @t62 () (@quantifiers_skolemize @t61 0)) % 1.78/2.08 (define @t63 () (@quantifiers_skolemize @t61 3)) % 1.78/2.08 (define @t64 () (tptp.remove @t63 @t62)) % 1.78/2.08 (define @t65 () (@quantifiers_skolemize @t61 1)) % 1.78/2.08 (define @t66 () (@list @t65 @t64)) % 1.78/2.08 (define @t67 () (@quantifiers_skolemize @t61 2)) % 1.78/2.08 (define @t68 () (tptp.remove @t67 @t62)) % 1.78/2.08 (define @t69 () (tptp.remove @t63 @t68)) % 1.78/2.08 (define @t70 () (@list @t63 @t68)) % 1.78/2.08 (define @t71 () (= @t67 @t63)) % 1.78/2.08 (define @t72 () (tptp.in @t63 @t68)) % 1.78/2.08 (define @t73 () (or @t72 @t71)) % 1.78/2.08 (define @t74 () (tptp.add @t67 @t68)) % 1.78/2.08 (define @t75 () (tptp.in @t63 @t74)) % 1.78/2.08 (define @t76 () (= @t63 @t67)) % 1.78/2.08 (define @t77 () (or @t72 @t76)) % 1.78/2.08 (define @t78 () (= @t77 @t75)) % 1.78/2.08 (define @t79 () (= @t75 @t73)) % 1.78/2.08 (define @t80 () (@list false)) % 1.78/2.08 (define @t81 () (not @t56)) % 1.78/2.08 (define @t82 () (not @t81)) % 1.78/2.08 (define @t83 () (or @t59 @t82 @t53 @t52 @t51)) % 1.78/2.08 (define @t84 () (and @t58 @t81 @t44 @t43 @t41)) % 1.78/2.08 (define @t85 () (+ 2 1)) % 1.78/2.08 (define @t86 () (>= @t40 @t85)) % 1.78/2.08 (define @t87 () (>= @t5 @t42)) % 1.78/2.08 (define @t88 () (+ @t42 1)) % 1.78/2.08 (define @t89 () (>= @t3 @t88)) % 1.78/2.08 (define @t90 () (tptp.count @t62)) % 1.78/2.08 (define @t91 () (>= @t90 3)) % 1.78/2.08 (define @t92 () (tptp.in @t63 @t62)) % 1.78/2.08 (define @t93 () (not @t92)) % 1.78/2.08 (define @t94 () (tptp.in @t67 @t62)) % 1.78/2.08 (define @t95 () (not @t94)) % 1.78/2.08 (define @t96 () (tptp.in @t65 @t62)) % 1.78/2.08 (define @t97 () (not @t96)) % 1.78/2.08 (define @t98 () (* -1 @t63)) % 1.78/2.08 (define @t99 () (+ @t67 @t98)) % 1.78/2.08 (define @t100 () (>= @t99 1)) % 1.78/2.08 (define @t101 () (not @t100)) % 1.78/2.08 (define @t102 () (* -1 @t67)) % 1.78/2.08 (define @t103 () (+ @t65 @t102)) % 1.78/2.08 (define @t104 () (>= @t103 1)) % 1.78/2.08 (define @t105 () (not @t104)) % 1.78/2.08 (define @t106 () (or @t105 @t101 @t97 @t95 @t93 @t91)) % 1.78/2.08 (define @t107 () (not @t106)) % 1.78/2.08 (define @t108 () (not @t61)) % 1.78/2.08 (define @t109 () (+ @t102 @t63)) % 1.78/2.08 (define @t110 () (+ @t99 1)) % 1.78/2.08 (define @t111 () (+ @t63 @t102)) % 1.78/2.08 (define @t112 () (>= @t111 0)) % 1.78/2.08 (define @t113 () (or @t105 @t112 @t97 @t95 @t93 @t91)) % 1.78/2.08 (define @t114 () (not @t113)) % 1.78/2.08 (define @t115 () (@list true)) % 1.78/2.08 (define @t116 () (@list @t106)) % 1.78/2.08 (define @t117 () (@list @t67 @t62)) % 1.78/2.08 (define @t118 () (= @t62 @t74)) % 1.78/2.08 (define @t119 () (or @t95 @t118)) % 1.78/2.08 (define @t120 () (@list false false)) % 1.78/2.08 (define @t121 () (>= -1 0)) % 1.78/2.08 (define @t122 () (+ -1 @t63)) % 1.78/2.08 (define @t123 () (- @t122 @t63)) % 1.78/2.08 (define @t124 () (* -1 1)) % 1.78/2.08 (define @t125 () (+ @t63 @t124)) % 1.78/2.08 (define @t126 () (* -1 @t99)) % 1.78/2.08 (define @t127 () (+ @t67 @t126)) % 1.78/2.08 (define @t128 () (< -1 0)) % 1.78/2.08 (define @t129 () (not @t71)) % 1.78/2.08 (define @t130 () (@list true false)) % 1.78/2.08 (define @t131 () (tptp.add @t63 @t69)) % 1.78/2.08 (define @t132 () (= @t68 @t131)) % 1.78/2.08 (define @t133 () (not @t72)) % 1.78/2.08 (define @t134 () (or @t133 @t132)) % 1.78/2.08 (define @t135 () (@list @t63 @t62)) % 1.78/2.08 (define @t136 () (tptp.add @t63 @t64)) % 1.78/2.08 (define @t137 () (= @t62 @t136)) % 1.78/2.08 (define @t138 () (or @t93 @t137)) % 1.78/2.08 (define @t139 () (tptp.in @t65 @t136)) % 1.78/2.08 (define @t140 () (tptp.in @t65 @t74)) % 1.78/2.08 (define @t141 () (= @t65 @t67)) % 1.78/2.08 (define @t142 () (tptp.in @t65 @t68)) % 1.78/2.08 (define @t143 () (or @t142 @t141)) % 1.78/2.08 (define @t144 () (= @t143 @t140)) % 1.78/2.08 (define @t145 () (+ -1 @t67)) % 1.78/2.08 (define @t146 () (- @t145 @t67)) % 1.78/2.08 (define @t147 () (+ @t67 @t124)) % 1.78/2.08 (define @t148 () (+ (* -1 @t65) @t67)) % 1.78/2.08 (define @t149 () (* -1 @t103)) % 1.78/2.08 (define @t150 () (+ @t65 @t149)) % 1.78/2.08 (define @t151 () (not @t141)) % 1.78/2.08 (define @t152 () (tptp.in @t65 @t131)) % 1.78/2.08 (define @t153 () (and @t142 @t132)) % 1.78/2.08 (define @t154 () (= @t65 @t63)) % 1.78/2.08 (define @t155 () (tptp.in @t65 @t69)) % 1.78/2.08 (define @t156 () (or @t155 @t154)) % 1.78/2.08 (define @t157 () (= @t156 @t152)) % 1.78/2.08 (define @t158 () (+ @t65 @t98)) % 1.78/2.08 (define @t159 () (= @t158 0)) % 1.78/2.08 (define @t160 () (+ 0 @t124 @t124)) % 1.78/2.08 (define @t161 () (* 0 @t65)) % 1.78/2.08 (define @t162 () (* 0 @t63)) % 1.78/2.08 (define @t163 () (+ @t162 @t67 @t102 @t161)) % 1.78/2.08 (define @t164 () (+ @t158 @t149 @t126)) % 1.78/2.08 (define @t165 () (and @t100 @t104 @t154)) % 1.78/2.08 (define @t166 () (@list @t69)) % 1.78/2.08 (define @t167 () (+ -1 @t23)) % 1.78/2.08 (define @t168 () (+ @t23 @t124)) % 1.78/2.08 (define @t169 () (tptp.count @t69)) % 1.78/2.08 (define @t170 () (+ 1 @t169)) % 1.78/2.08 (define @t171 () (tptp.count @t68)) % 1.78/2.08 (define @t172 () (- @t171 @t170)) % 1.78/2.08 (define @t173 () (+ -1 @t171)) % 1.78/2.08 (define @t174 () (= @t171 @t170)) % 1.78/2.08 (define @t175 () (= @t169 @t173)) % 1.78/2.08 (define @t176 () (= @t72 @t175)) % 1.78/2.08 (define @t177 () (forall @t30 (= @t28 (= @t26 @t167)))) % 1.78/2.08 (define @t178 () (= @t72 @t174)) % 1.78/2.08 (define @t179 () (@list @t177)) % 1.78/2.08 (define @t180 () (+ 1 @t171)) % 1.78/2.08 (define @t181 () (- @t90 @t180)) % 1.78/2.08 (define @t182 () (+ -1 @t90)) % 1.78/2.08 (define @t183 () (= @t90 @t180)) % 1.78/2.08 (define @t184 () (= @t171 @t182)) % 1.78/2.08 (define @t185 () (= @t94 @t184)) % 1.78/2.08 (define @t186 () (= @t94 @t183)) % 1.78/2.08 (define @t187 () (not @t91)) % 1.78/2.08 (define @t188 () (= @t169 0)) % 1.78/2.08 (define @t189 () (>= @t169 0)) % 1.78/2.08 (define @t190 () (not @t189)) % 1.78/2.08 (define @t191 () (not @t174)) % 1.78/2.08 (define @t192 () (not @t183)) % 1.78/2.08 (define @t193 () (not @t188)) % 1.78/2.08 (define @t194 () (< @t90 3)) % 1.78/2.08 (define @t195 () (not true)) % 1.78/2.08 (define @t196 () (>= 0 0)) % 1.78/2.08 (define @t197 () (+ 3 @t124 @t124 @t124)) % 1.78/2.08 (define @t198 () (* -1 @t169)) % 1.78/2.08 (define @t199 () (+ (* -1 @t90) @t171)) % 1.78/2.08 (define @t200 () (* -1 @t171)) % 1.78/2.08 (define @t201 () (+ @t200 @t169)) % 1.78/2.08 (define @t202 () (+ @t90 @t200)) % 1.78/2.08 (define @t203 () (* -1 @t202)) % 1.78/2.08 (define @t204 () (+ @t171 @t198)) % 1.78/2.08 (define @t205 () (* -1 @t204)) % 1.78/2.08 (define @t206 () (+ @t90 @t205 @t203 @t198)) % 1.78/2.08 (define @t207 () (>= @t206 @t197)) % 1.78/2.08 (define @t208 () (>= @t169 1)) % 1.78/2.08 (define @t209 () (= @t202 1)) % 1.78/2.08 (define @t210 () (= (* -1 (- @t202 1)) (* -1 @t181))) % 1.78/2.08 (define @t211 () (= @t209 @t183)) % 1.78/2.08 (define @t212 () (= @t204 1)) % 1.78/2.08 (define @t213 () (= (* -1 (- @t204 1)) (* -1 @t172))) % 1.78/2.08 (define @t214 () (= @t212 @t174)) % 1.78/2.08 (define @t215 () (and @t189 @t193 @t183 @t174 @t187)) % 1.78/2.08 (define @t216 () (= tptp.empty @t69)) % 1.78/2.08 (define @t217 () (= @t188 @t216)) % 1.78/2.08 (define @t218 () (tptp.remove @t65 @t64)) % 1.78/2.08 (define @t219 () (@list @t218)) % 1.78/2.08 (define @t220 () (+ @t124 0)) % 1.78/2.08 (define @t221 () (+ @t198 @t169)) % 1.78/2.08 (define @t222 () (not @t208)) % 1.78/2.08 (define @t223 () (tptp.count @t218)) % 1.78/2.08 (define @t224 () (+ 1 @t223)) % 1.78/2.08 (define @t225 () (tptp.count @t64)) % 1.78/2.08 (define @t226 () (- @t225 @t224)) % 1.78/2.08 (define @t227 () (+ -1 @t225)) % 1.78/2.08 (define @t228 () (= @t225 @t224)) % 1.78/2.08 (define @t229 () (= @t223 @t227)) % 1.78/2.08 (define @t230 () (tptp.in @t65 @t64)) % 1.78/2.08 (define @t231 () (= @t230 @t229)) % 1.78/2.08 (define @t232 () (= @t230 @t228)) % 1.78/2.08 (define @t233 () (or @t230 @t154)) % 1.78/2.08 (define @t234 () (= @t233 @t139)) % 1.78/2.08 (define @t235 () (+ 1 @t225)) % 1.78/2.08 (define @t236 () (- @t90 @t235)) % 1.78/2.08 (define @t237 () (= @t90 @t235)) % 1.78/2.08 (define @t238 () (= @t225 @t182)) % 1.78/2.08 (define @t239 () (= @t92 @t238)) % 1.78/2.08 (define @t240 () (= @t92 @t237)) % 1.78/2.08 (define @t241 () (= @t223 0)) % 1.78/2.08 (define @t242 () (>= @t223 0)) % 1.78/2.08 (define @t243 () (not @t242)) % 1.78/2.08 (define @t244 () (not @t228)) % 1.78/2.08 (define @t245 () (not @t237)) % 1.78/2.08 (define @t246 () (not @t241)) % 1.78/2.08 (define @t247 () (* -1 @t223)) % 1.78/2.08 (define @t248 () (+ @t225 @t247)) % 1.78/2.08 (define @t249 () (= @t248 1)) % 1.78/2.08 (define @t250 () (+ @t124 1 @t124 1 1 @t124)) % 1.78/2.08 (define @t251 () (* -1 @t225)) % 1.78/2.08 (define @t252 () (* 0 @t90)) % 1.78/2.08 (define @t253 () (* 0 @t223)) % 1.78/2.08 (define @t254 () (+ @t198 @t253 @t169 @t225 @t200 @t251 @t171 @t252)) % 1.78/2.08 (define @t255 () (+ @t90 @t251)) % 1.78/2.08 (define @t256 () (+ (* -1 @t248) @t204 (* -1 @t255) @t202 @t169 @t247)) % 1.78/2.08 (define @t257 () (>= @t256 @t250)) % 1.78/2.08 (define @t258 () (= @t255 1)) % 1.78/2.08 (define @t259 () (and @t242 @t246 @t222 @t183 @t237 @t174 @t228)) % 1.78/2.08 (define @t260 () (= tptp.empty @t218)) % 1.78/2.08 (define @t261 () (= @t241 @t260)) % 1.78/2.08 (define @t262 () (not @t216)) % 1.78/2.08 (define @t263 () (not @t260)) % 1.78/2.08 (define @t264 () (not @t155)) % 1.78/2.08 (define @t265 () (tptp.in @t65 @t218)) % 1.78/2.08 (define @t266 () (not @t265)) % 1.78/2.08 (define @t267 () (and @t155 @t216 @t260 @t266)) % 1.78/2.08 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 1.78/2.08 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 1.78/2.08 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 1.78/2.08 (assume @p4 @t9) % 1.78/2.08 (assume @p5 (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 1.78/2.08 (assume @p6 (forall (@list @t13) (>= (tptp.count @t13) 0))) % 1.78/2.08 (assume @p7 @t17) % 1.78/2.08 (assume @p8 (forall (@list @t19 @t18) (= (not (tptp.in @t19 @t18)) (= (tptp.count (tptp.add @t19 @t18)) (+ (tptp.count @t18) 1))))) % 1.78/2.08 (assume @p9 (forall (@list @t21 @t20) (= (tptp.in @t21 @t20) (= (tptp.count (tptp.add @t21 @t20)) (tptp.count @t20))))) % 1.78/2.08 (assume @p10 @t31) % 1.78/2.08 (assume @p11 (forall (@list @t33 @t32) (= (not (tptp.in @t33 @t32)) (= (tptp.count (tptp.remove @t33 @t32)) (tptp.count @t32))))) % 1.78/2.08 (assume @p12 @t38) % 1.78/2.08 (assume @p13 @t49) % 1.78/2.08 (assume @p14 true) % 1.78/2.08 (step @p15 :rule instantiate :premises (@p3) :args (@t66)) % 1.78/2.08 (step @p16 :rule instantiate :premises (@p4) :args ((@list @t65 @t69 @t63))) % 1.78/2.08 (step @p17 :rule bool-impl-elim :args (@t37 @t36)) % 1.78/2.08 (step @p18 :rule cong :premises (@p17) :args (@t38)) % 1.78/2.08 (step @p19 :rule eq_resolve :premises (@p12 @p18)) % 1.78/2.08 (step @p20 :rule instantiate :premises (@p19) :args (@t70)) % 1.78/2.08 (step @p21 :rule eq-symm :args (@t73 @t75)) % 1.78/2.08 (step @p22 :rule refl :args (@t75)) % 1.78/2.08 (step @p23 :rule arith_poly_norm :args ((= (* 1 (- @t63 @t67)) (* -1 (- @t67 @t63))))) % 1.78/2.08 (step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= @t76 @t71))) % 1.78/2.08 (step @p25 :rule refl :args (@t72)) % 1.78/2.08 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t77)) % 1.78/2.08 (step @p27 :rule cong :premises (@p26 @p22) :args (@t78)) % 1.78/2.08 (step @p28 :rule trans :premises (@p27 @p21)) % 1.78/2.08 (step @p29 :rule refl :args (@t9)) % 1.78/2.08 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t9 @t78))) % 1.78/2.08 (assume-push @p699 @t9) % 1.78/2.08 (step @p32 :rule instantiate :premises (@p4) :args ((@list @t63 @t68 @t67))) % 1.78/2.08 (step-pop @p700 :rule scope :premises (@p32)) % 1.78/2.08 (step @p33 :rule process_scope :premises (@p700) :args (@t78)) % 1.78/2.08 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 1.78/2.08 (step @p36 :rule implies_elim :premises (@p35)) % 1.78/2.08 (step @p37 :rule chain_m_resolution :premises (@p36 @p4) :args (@t79 @t80 (@list @t9))) % 1.78/2.08 (step @p38 :rule aci_norm :args ((= (or (or @t59 @t56 @t53 @t52 @t51) @t50) @t60))) % 1.78/2.08 (step @p39 :rule refl :args (@t50)) % 1.78/2.08 (step @p40 :rule refl :args (@t51)) % 1.78/2.08 (step @p41 :rule refl :args (@t52)) % 1.78/2.08 (step @p42 :rule refl :args (@t53)) % 1.78/2.08 (step @p43 :rule bool-double-not-elim :args (@t56)) % 1.78/2.08 (step @p44 :rule refl :args (@t59)) % 1.78/2.08 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42 @p41 @p40) :args (@t83)) % 1.78/2.08 (step @p46 :rule aci_norm :args ((= (or @t59 (or @t82 (or @t53 (or @t52 @t51)))) @t83))) % 1.78/2.08 (step @p47 :rule trans :premises (@p46 @p45)) % 1.78/2.08 (step @p48 :rule bool-and-de-morgan :args (@t43 @t41 true)) % 1.78/2.08 (step @p49 :rule nary_cong :premises (@p42 @p48) :args ((or @t53 (not (and @t43 @t41))))) % 1.78/2.08 (step @p50 :rule bool-and-de-morgan :args (@t44 @t43 (and @t41))) % 1.78/2.08 (step @p51 :rule trans :premises (@p50 @p49)) % 1.78/2.08 (step @p52 :rule refl :args (@t82)) % 1.78/2.08 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t82 (not (and @t44 @t43 @t41))))) % 1.78/2.08 (step @p54 :rule bool-and-de-morgan :args (@t81 @t44 (and @t43 @t41))) % 1.78/2.08 (step @p55 :rule trans :premises (@p54 @p53)) % 1.78/2.08 (step @p56 :rule nary_cong :premises (@p44 @p55) :args ((or @t59 (not (and @t81 @t44 @t43 @t41))))) % 1.78/2.08 (step @p57 :rule bool-and-de-morgan :args (@t58 @t81 (and @t44 @t43 @t41))) % 1.78/2.08 (step @p58 :rule trans :premises (@p57 @p56)) % 1.78/2.08 (step @p59 :rule trans :premises (@p58 @p47)) % 1.78/2.08 (step @p60 :rule nary_cong :premises (@p59 @p39) :args ((or (not @t84) @t50))) % 1.78/2.08 (step @p61 :rule trans :premises (@p60 @p38)) % 1.78/2.08 (step @p62 :rule bool-impl-elim :args (@t84 @t50)) % 1.78/2.08 (step @p63 :rule trans :premises (@p62 @p61)) % 1.78/2.08 (step @p64 :rule cong :premises (@p63) :args ((forall @t47 (=> @t84 @t50)))) % 1.78/2.08 (step @p65 :rule bool-double-not-elim :args (@t50)) % 1.78/2.08 (step @p66 :rule evaluate :args (@t85)) % 1.78/2.08 (step @p67 :rule refl :args (@t40)) % 1.78/2.08 (step @p68 :rule cong :premises (@p67 @p66) :args (@t86)) % 1.78/2.08 (step @p69 :rule cong :premises (@p68) :args ((not @t86))) % 1.78/2.08 (step @p70 :rule arith-leq-norm :args (@t40 2)) % 1.78/2.08 (step @p71 :rule trans :premises (@p70 @p69)) % 1.78/2.08 (step @p72 :rule cong :premises (@p71) :args ((not (<= @t40 2)))) % 1.78/2.08 (step @p73 :rule trans :premises (@p72 @p65)) % 1.78/2.08 (step @p74 :rule arith-elim-leq :args (@t40 2)) % 1.78/2.08 (step @p75 :rule symm :premises (@p74)) % 1.78/2.08 (step @p76 :rule cong :premises (@p75) :args ((not (>= 2 @t40)))) % 1.78/2.08 (step @p77 :rule arith-elim-gt :args (@t40 2)) % 1.78/2.08 (step @p78 :rule trans :premises (@p77 @p76)) % 1.78/2.08 (step @p79 :rule trans :premises (@p78 @p73)) % 1.78/2.08 (step @p80 :rule refl :args (@t41)) % 1.78/2.08 (step @p81 :rule refl :args (@t43)) % 1.78/2.08 (step @p82 :rule refl :args (@t44)) % 1.78/2.08 (step @p83 :rule arith_poly_norm :args ((= (* 1 (- @t5 @t42)) (* 1 (- @t55 0))))) % 1.78/2.08 (step @p84 :rule arith_poly_norm_rel :premises (@p83) :args ((= @t87 @t56))) % 1.78/2.08 (step @p85 :rule arith-elim-leq :args (@t42 @t5)) % 1.78/2.08 (step @p86 :rule trans :premises (@p85 @p84)) % 1.78/2.08 (step @p87 :rule cong :premises (@p86) :args ((not (<= @t42 @t5)))) % 1.78/2.08 (step @p88 :rule symm :premises (@p85)) % 1.78/2.08 (step @p89 :rule cong :premises (@p88) :args ((not @t87))) % 1.78/2.08 (step @p90 :rule arith-elim-gt :args (@t42 @t5)) % 1.78/2.08 (step @p91 :rule trans :premises (@p90 @p89)) % 1.78/2.08 (step @p92 :rule trans :premises (@p91 @p87)) % 1.78/2.08 (step @p93 :rule bool-double-not-elim :args (@t58)) % 1.78/2.08 (step @p94 :rule arith_poly_norm :args ((= (* -1 (- @t3 @t88)) (* -1 (- @t57 1))))) % 1.78/2.08 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args ((= @t89 @t58))) % 1.78/2.08 (step @p96 :rule cong :premises (@p95) :args ((not @t89))) % 1.78/2.08 (step @p97 :rule arith-leq-norm :args (@t3 @t42)) % 1.78/2.08 (step @p98 :rule trans :premises (@p97 @p96)) % 1.78/2.08 (step @p99 :rule cong :premises (@p98) :args ((not (<= @t3 @t42)))) % 1.78/2.08 (step @p100 :rule trans :premises (@p99 @p93)) % 1.78/2.08 (step @p101 :rule arith-elim-leq :args (@t3 @t42)) % 1.78/2.08 (step @p102 :rule symm :premises (@p101)) % 1.78/2.08 (step @p103 :rule cong :premises (@p102) :args ((not (>= @t42 @t3)))) % 1.78/2.08 (step @p104 :rule arith-elim-gt :args (@t3 @t42)) % 1.78/2.08 (step @p105 :rule trans :premises (@p104 @p103)) % 1.78/2.08 (step @p106 :rule trans :premises (@p105 @p100)) % 1.78/2.08 (step @p107 :rule nary_cong :premises (@p106 @p92 @p82 @p81 @p80) :args (@t45)) % 1.78/2.08 (step @p108 :rule cong :premises (@p107 @p79) :args (@t46)) % 1.78/2.08 (step @p109 :rule cong :premises (@p108) :args (@t48)) % 1.78/2.08 (step @p110 :rule trans :premises (@p109 @p64)) % 1.78/2.08 (step @p111 :rule cong :premises (@p110) :args (@t49)) % 1.78/2.08 (step @p112 :rule eq_resolve :premises (@p13 @p111)) % 1.78/2.08 (step @p113 :rule refl :args (@t107)) % 1.78/2.08 (step @p114 :rule bool-double-not-elim :args (@t61)) % 1.78/2.08 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t108) @t107))) % 1.78/2.08 (step @p116 :rule refl :args (@t91)) % 1.78/2.08 (step @p117 :rule refl :args (@t93)) % 1.78/2.08 (step @p118 :rule refl :args (@t95)) % 1.78/2.08 (step @p119 :rule refl :args (@t97)) % 1.78/2.08 (step @p120 :rule arith_poly_norm :args ((= (* -1 (- 1 @t110)) (* -1 (- @t109 0))))) % 1.78/2.08 (step @p121 :rule arith_poly_norm_rel :premises (@p120) :args ((= (>= 1 @t110) (>= @t109 0)))) % 1.78/2.08 (step @p122 :rule arith-geq-tighten :args (@t99 1)) % 1.78/2.08 (step @p123 :rule trans :premises (@p122 @p121)) % 1.78/2.08 (step @p124 :rule symm :premises (@p123)) % 1.78/2.08 (step @p125 :rule refl :args (0)) % 1.78/2.08 (step @p126 :rule arith_poly_norm :args ((= @t111 @t109))) % 1.78/2.08 (step @p127 :rule cong :premises (@p126 @p125) :args (@t112)) % 1.78/2.08 (step @p128 :rule trans :premises (@p127 @p124)) % 1.78/2.08 (step @p129 :rule refl :args (@t105)) % 1.78/2.08 (step @p130 :rule nary_cong :premises (@p129 @p128 @p119 @p118 @p117 @p116) :args (@t113)) % 1.78/2.08 (step @p131 :rule cong :premises (@p130) :args (@t114)) % 1.78/2.08 (step @p132 :rule refl :args (@t108)) % 1.78/2.08 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t108 @t114))) % 1.78/2.08 (assume-push @p701 @t108) % 1.78/2.08 (step @p135 :rule skolemize :premises (@p112)) % 1.78/2.08 (step-pop @p702 :rule scope :premises (@p135)) % 1.78/2.08 (step @p136 :rule process_scope :premises (@p702) :args (@t114)) % 1.78/2.08 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 1.78/2.08 (step @p139 :rule implies_elim :premises (@p138)) % 1.78/2.08 (step @p140 :rule eq_resolve :premises (@p139 @p115)) % 1.78/2.08 (step @p141 :rule chain_m_resolution :premises (@p140 @p112) :args (@t107 @t115 (@list @t61))) % 1.78/2.08 (step @p142 :rule bool-double-not-elim :args (@t92)) % 1.78/2.08 (step @p143 :rule refl :args (@t106)) % 1.78/2.08 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t106 (not @t93)))) % 1.78/2.08 (step @p145 :rule cnf_or_neg :args (@t106 4)) % 1.78/2.08 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 1.78/2.08 (step @p147 :rule reordering :premises (@p146) :args ((or @t92 @t106))) % 1.78/2.08 (step @p148 :rule chain_m_resolution :premises (@p147 @p141) :args (@t92 @t115 @t116)) % 1.78/2.08 (step @p149 :rule true_intro :premises (@p148)) % 1.78/2.08 (step @p150 :rule instantiate :premises (@p19) :args (@t117)) % 1.78/2.08 (step @p151 :rule bool-double-not-elim :args (@t94)) % 1.78/2.08 (step @p152 :rule nary_cong :premises (@p143 @p151) :args ((or @t106 (not @t95)))) % 1.78/2.08 (step @p153 :rule cnf_or_neg :args (@t106 3)) % 1.78/2.08 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 1.78/2.08 (step @p155 :rule reordering :premises (@p154) :args ((or @t94 @t106))) % 1.78/2.08 (step @p156 :rule chain_m_resolution :premises (@p155 @p141) :args (@t94 @t115 @t116)) % 1.78/2.08 (step @p157 :rule cnf_or_pos :args (@t119)) % 1.78/2.08 (step @p158 :rule reordering :premises (@p157) :args ((or @t95 @t118 (not @t119)))) % 1.78/2.08 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p150) :args (@t118 @t120 (@list @t94 @t119))) % 1.78/2.08 (step @p160 :rule symm :premises (@p159)) % 1.78/2.08 (step @p161 :rule refl :args (@t63)) % 1.78/2.08 (step @p162 :rule cong :premises (@p161 @p160) :args (@t75)) % 1.78/2.08 (step @p163 :rule trans :premises (@p162 @p149)) % 1.78/2.08 (step @p164 :rule true_elim :premises (@p163)) % 1.78/2.08 (step @p165 :rule cnf_equiv_pos1 :args (@t79)) % 1.78/2.08 (step @p166 :rule reordering :premises (@p165) :args ((or @t73 (not @t75) (not @t79)))) % 1.78/2.08 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p37) :args (@t73 @t120 (@list @t75 @t79))) % 1.78/2.08 (step @p168 :rule bool-double-not-elim :args (@t100)) % 1.78/2.08 (step @p169 :rule nary_cong :premises (@p143 @p168) :args ((or @t106 (not @t101)))) % 1.78/2.08 (step @p170 :rule cnf_or_neg :args (@t106 1)) % 1.78/2.08 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 1.78/2.08 (step @p172 :rule reordering :premises (@p171) :args ((or @t100 @t106))) % 1.78/2.08 (step @p173 :rule chain_m_resolution :premises (@p172 @p141) :args (@t100 @t115 @t116)) % 1.78/2.08 (assume-push @p703 @t100) % 1.78/2.08 (assume-push @p704 @t100) % 1.78/2.08 (assume-push @p705 @t71) % 1.78/2.08 (step @p177 :rule evaluate :args (@t121)) % 1.78/2.08 (step @p178 :rule refl :args (0)) % 1.78/2.08 (step @p179 :rule arith_poly_norm :args ((= @t123 -1))) % 1.78/2.08 (step @p180 :rule cong :premises (@p179 @p178) :args ((>= @t123 0))) % 1.78/2.08 (step @p181 :rule trans :premises (@p180 @p177)) % 1.78/2.08 (step @p182 :rule arith-geq-norm1-int :args (@t122 @t63)) % 1.78/2.08 (step @p183 :rule trans :premises (@p182 @p181)) % 1.78/2.08 (step @p184 :rule arith-elim-leq :args (@t63 @t122)) % 1.78/2.08 (step @p185 :rule trans :premises (@p184 @p183)) % 1.78/2.08 (step @p186 :rule arith_poly_norm :args ((= (+ @t63 -1) @t122))) % 1.78/2.08 (step @p187 :rule evaluate :args (@t124)) % 1.78/2.08 (step @p188 :rule nary_cong :premises (@p161 @p187) :args (@t125)) % 1.78/2.08 (step @p189 :rule trans :premises (@p188 @p186)) % 1.78/2.08 (step @p190 :rule arith_poly_norm :args ((= (+ @t67 @t109) @t63))) % 1.78/2.08 (step @p191 :rule arith_poly_norm :args ((= @t126 @t109))) % 1.78/2.08 (step @p192 :rule refl :args (@t67)) % 1.78/2.08 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t127)) % 1.78/2.08 (step @p194 :rule trans :premises (@p193 @p190)) % 1.78/2.08 (step @p195 :rule cong :premises (@p194 @p189) :args ((<= @t127 @t125))) % 1.78/2.08 (step @p196 :rule trans :premises (@p195 @p185)) % 1.78/2.08 (step @p197 :rule arith_mult_neg :args (-1 @t100)) % 1.78/2.08 (step @p198 :rule evaluate :args (@t128)) % 1.78/2.08 (step @p199 :rule true_elim :premises (@p198)) % 1.78/2.08 (step @p200 :rule and_intro :premises (@p199 @p173)) % 1.78/2.08 (step @p201 :rule modus_ponens :premises (@p200 @p197)) % 1.78/2.08 (step @p202 :rule arith_sum_ub :premises (@p705 @p201)) % 1.78/2.08 (step @p203 false :rule eq_resolve :premises (@p202 @p196)) % 1.78/2.08 (step-pop @p706 :rule scope :premises (@p203)) % 1.78/2.08 (step @p204 :rule process_scope :premises (@p706) :args (false)) % 1.78/2.08 (step-pop @p707 :rule scope :premises (@p204)) % 1.78/2.08 (step @p206 :rule process_scope :premises (@p707) :args (@t129)) % 1.78/2.08 (step @p208 :rule modus_ponens :premises (@p173 @p206)) % 1.78/2.08 (step-pop @p708 :rule scope :premises (@p208)) % 1.78/2.08 (step @p209 :rule process_scope :premises (@p708) :args (@t129)) % 1.78/2.08 (step @p211 :rule implies_elim :premises (@p209)) % 1.78/2.08 (step @p212 :rule chain_m_resolution :premises (@p211 @p173) :args (@t129 @t80 (@list @t100))) % 1.78/2.08 (step @p213 :rule cnf_or_pos :args (@t73)) % 1.78/2.08 (step @p214 :rule reordering :premises (@p213) :args ((or @t71 @t72 (not @t73)))) % 1.78/2.08 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p167) :args (@t72 @t130 (@list @t71 @t73))) % 1.78/2.08 (step @p216 :rule cnf_or_pos :args (@t134)) % 1.78/2.08 (step @p217 :rule reordering :premises (@p216) :args ((or @t133 @t132 (not @t134)))) % 1.78/2.08 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p20) :args (@t132 @t120 (@list @t72 @t134))) % 1.78/2.08 (step @p219 :rule instantiate :premises (@p4) :args ((@list @t65 @t68 @t67))) % 1.78/2.08 (step @p220 :rule bool-double-not-elim :args (@t96)) % 1.78/2.08 (step @p221 :rule nary_cong :premises (@p143 @p220) :args ((or @t106 (not @t97)))) % 1.78/2.08 (step @p222 :rule cnf_or_neg :args (@t106 2)) % 1.78/2.08 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 1.78/2.08 (step @p224 :rule reordering :premises (@p223) :args ((or @t96 @t106))) % 1.78/2.08 (step @p225 :rule chain_m_resolution :premises (@p224 @p141) :args (@t96 @t115 @t116)) % 1.78/2.08 (step @p226 :rule true_intro :premises (@p225)) % 1.78/2.08 (step @p227 :rule instantiate :premises (@p19) :args (@t135)) % 1.78/2.08 (step @p228 :rule cnf_or_pos :args (@t138)) % 1.78/2.08 (step @p229 :rule reordering :premises (@p228) :args ((or @t93 @t137 (not @t138)))) % 1.78/2.08 (step @p230 :rule chain_m_resolution :premises (@p229 @p148 @p227) :args (@t137 @t120 (@list @t92 @t138))) % 1.78/2.08 (step @p231 :rule symm :premises (@p230)) % 1.78/2.08 (step @p232 :rule refl :args (@t65)) % 1.78/2.08 (step @p233 :rule cong :premises (@p232 @p231) :args (@t139)) % 1.78/2.08 (step @p234 :rule trans :premises (@p160 @p230)) % 1.78/2.08 (step @p235 :rule cong :premises (@p232 @p234) :args (@t140)) % 1.78/2.08 (step @p236 :rule trans :premises (@p235 @p233 @p226)) % 1.78/2.08 (step @p237 :rule true_elim :premises (@p236)) % 1.78/2.08 (step @p238 :rule cnf_equiv_pos2 :args (@t144)) % 1.78/2.08 (step @p239 :rule reordering :premises (@p238) :args ((or @t143 (not @t140) (not @t144)))) % 1.78/2.08 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p219) :args (@t143 @t120 (@list @t140 @t144))) % 1.78/2.08 (step @p241 :rule bool-double-not-elim :args (@t104)) % 1.78/2.08 (step @p242 :rule nary_cong :premises (@p143 @p241) :args ((or @t106 (not @t105)))) % 1.78/2.08 (step @p243 :rule cnf_or_neg :args (@t106 0)) % 1.78/2.08 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 1.78/2.08 (step @p245 :rule reordering :premises (@p244) :args ((or @t104 @t106))) % 1.78/2.08 (step @p246 :rule chain_m_resolution :premises (@p245 @p141) :args (@t104 @t115 @t116)) % 1.78/2.08 (assume-push @p709 @t104) % 1.78/2.08 (assume-push @p710 @t104) % 1.78/2.08 (assume-push @p711 @t141) % 1.78/2.08 (step @p177 :rule evaluate :args (@t121)) % 1.78/2.08 (step @p178 :rule refl :args (0)) % 1.78/2.08 (step @p250 :rule arith_poly_norm :args ((= @t146 -1))) % 1.78/2.08 (step @p251 :rule cong :premises (@p250 @p178) :args ((>= @t146 0))) % 1.78/2.08 (step @p252 :rule trans :premises (@p251 @p177)) % 1.78/2.08 (step @p253 :rule arith-geq-norm1-int :args (@t145 @t67)) % 1.78/2.08 (step @p254 :rule trans :premises (@p253 @p252)) % 1.78/2.08 (step @p255 :rule arith-elim-leq :args (@t67 @t145)) % 1.78/2.08 (step @p256 :rule trans :premises (@p255 @p254)) % 1.78/2.08 (step @p257 :rule arith_poly_norm :args ((= (+ @t67 -1) @t145))) % 1.78/2.08 (step @p187 :rule evaluate :args (@t124)) % 1.78/2.08 (step @p192 :rule refl :args (@t67)) % 1.78/2.08 (step @p258 :rule nary_cong :premises (@p192 @p187) :args (@t147)) % 1.78/2.08 (step @p259 :rule trans :premises (@p258 @p257)) % 1.78/2.08 (step @p260 :rule arith_poly_norm :args ((= (+ @t65 @t148) @t67))) % 1.78/2.08 (step @p261 :rule arith_poly_norm :args ((= @t149 @t148))) % 1.78/2.08 (step @p262 :rule nary_cong :premises (@p232 @p261) :args (@t150)) % 1.78/2.08 (step @p263 :rule trans :premises (@p262 @p260)) % 1.78/2.08 (step @p264 :rule cong :premises (@p263 @p259) :args ((<= @t150 @t147))) % 1.78/2.08 (step @p265 :rule trans :premises (@p264 @p256)) % 1.78/2.08 (step @p266 :rule arith_mult_neg :args (-1 @t104)) % 1.78/2.08 (step @p198 :rule evaluate :args (@t128)) % 1.78/2.08 (step @p199 :rule true_elim :premises (@p198)) % 1.78/2.08 (step @p267 :rule and_intro :premises (@p199 @p246)) % 1.78/2.08 (step @p268 :rule modus_ponens :premises (@p267 @p266)) % 1.78/2.08 (step @p269 :rule arith_sum_ub :premises (@p711 @p268)) % 1.78/2.08 (step @p270 false :rule eq_resolve :premises (@p269 @p265)) % 1.78/2.08 (step-pop @p712 :rule scope :premises (@p270)) % 1.78/2.08 (step @p271 :rule process_scope :premises (@p712) :args (false)) % 1.78/2.08 (step-pop @p713 :rule scope :premises (@p271)) % 1.78/2.08 (step @p273 :rule process_scope :premises (@p713) :args (@t151)) % 1.78/2.08 (step @p275 :rule modus_ponens :premises (@p246 @p273)) % 1.78/2.08 (step-pop @p714 :rule scope :premises (@p275)) % 1.78/2.08 (step @p276 :rule process_scope :premises (@p714) :args (@t151)) % 1.78/2.08 (step @p278 :rule implies_elim :premises (@p276)) % 1.78/2.08 (step @p279 :rule chain_m_resolution :premises (@p278 @p246) :args (@t151 @t80 (@list @t104))) % 1.78/2.08 (step @p280 :rule cnf_or_pos :args (@t143)) % 1.78/2.08 (step @p281 :rule reordering :premises (@p280) :args ((or @t141 @t142 (not @t143)))) % 1.78/2.08 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p240) :args (@t142 @t130 (@list @t141 @t143))) % 1.78/2.08 (assume-push @p715 @t142) % 1.78/2.08 (assume-push @p716 @t132) % 1.78/2.08 (assume-push @p717 @t142) % 1.78/2.08 (assume-push @p718 @t132) % 1.78/2.08 (step @p287 :rule true_intro :premises (@p715)) % 1.78/2.08 (step @p288 :rule symm :premises (@p716)) % 1.78/2.08 (step @p289 :rule cong :premises (@p232 @p288) :args (@t152)) % 1.78/2.08 (step @p290 :rule trans :premises (@p289 @p287)) % 1.78/2.08 (step @p291 :rule true_elim :premises (@p290)) % 1.78/2.08 (step-pop @p719 :rule scope :premises (@p291)) % 1.78/2.08 (step-pop @p720 :rule scope :premises (@p719)) % 1.78/2.08 (step @p292 :rule process_scope :premises (@p720) :args (@t152)) % 1.78/2.08 (step @p295 :rule and_intro :premises (@p715 @p716)) % 1.78/2.08 (step @p296 :rule modus_ponens :premises (@p295 @p292)) % 1.78/2.08 (step-pop @p721 :rule scope :premises (@p296)) % 1.78/2.08 (step-pop @p722 :rule scope :premises (@p721)) % 1.78/2.08 (step @p297 :rule process_scope :premises (@p722) :args (@t152)) % 1.78/2.08 (step @p300 :rule implies_elim :premises (@p297)) % 1.78/2.08 (step @p301 :rule cnf_and_neg :args (@t153)) % 1.78/2.08 (step @p302 :rule resolution :premises (@p301 @p300) :args (true @t153)) % 1.78/2.08 (step @p303 :rule chain_m_resolution :premises (@p302 @p282 @p218) :args (@t152 @t120 (@list @t142 @t132))) % 1.78/2.08 (step @p304 :rule cnf_equiv_pos2 :args (@t157)) % 1.78/2.08 (step @p305 :rule reordering :premises (@p304) :args ((or @t156 (not @t152) (not @t157)))) % 1.78/2.08 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p16) :args (@t156 @t120 (@list @t152 @t157))) % 1.78/2.08 (assume-push @p723 @t100) % 1.78/2.08 (assume-push @p724 @t104) % 1.78/2.08 (assume-push @p725 @t154) % 1.78/2.08 (assume-push @p726 @t159) % 1.78/2.08 (step @p311 :rule evaluate :args ((<= 0 -2))) % 1.78/2.08 (step @p312 :rule evaluate :args ((+ 0 -1 -1))) % 1.78/2.08 (step @p187 :rule evaluate :args (@t124)) % 1.78/2.08 (step @p313 :rule nary_cong :premises (@p125 @p187 @p187) :args (@t160)) % 1.78/2.08 (step @p314 :rule trans :premises (@p313 @p312)) % 1.78/2.08 (step @p315 :rule arith_poly_norm :args ((= (+ 0 @t67 @t102 0) 0))) % 1.78/2.08 (step @p316 :rule arith_poly_norm :args ((= @t161 0))) % 1.78/2.08 (step @p317 :rule refl :args (@t102)) % 1.78/2.08 (step @p192 :rule refl :args (@t67)) % 1.78/2.08 (step @p318 :rule arith_poly_norm :args ((= @t162 0))) % 1.78/2.08 (step @p319 :rule nary_cong :premises (@p318 @p192 @p317 @p316) :args (@t163)) % 1.78/2.08 (step @p320 :rule trans :premises (@p319 @p315)) % 1.78/2.08 (step @p321 :rule arith_poly_norm :args ((= @t164 @t163))) % 1.78/2.08 (step @p322 :rule trans :premises (@p321 @p320)) % 1.78/2.08 (step @p323 :rule cong :premises (@p322 @p314) :args ((<= @t164 @t160))) % 1.78/2.08 (step @p324 :rule trans :premises (@p323 @p311)) % 1.78/2.08 (step @p197 :rule arith_mult_neg :args (-1 @t100)) % 1.78/2.08 (step @p198 :rule evaluate :args (@t128)) % 1.78/2.08 (step @p199 :rule true_elim :premises (@p198)) % 1.78/2.08 (step @p200 :rule and_intro :premises (@p199 @p173)) % 1.78/2.08 (step @p201 :rule modus_ponens :premises (@p200 @p197)) % 1.78/2.08 (step @p266 :rule arith_mult_neg :args (-1 @t104)) % 1.78/2.08 (step @p267 :rule and_intro :premises (@p199 @p246)) % 1.78/2.08 (step @p268 :rule modus_ponens :premises (@p267 @p266)) % 1.78/2.08 (step @p325 :rule arith_sum_ub :premises (@p726 @p268 @p201)) % 1.78/2.08 (step @p326 false :rule eq_resolve :premises (@p325 @p324)) % 1.78/2.08 (step-pop @p727 :rule scope :premises (@p326)) % 1.78/2.08 (step @p327 :rule process_scope :premises (@p727) :args (false)) % 1.78/2.08 (step @p329 :rule arith_poly_norm :args ((= (* 1 (- @t158 0)) (* 1 (- @t65 @t63))))) % 1.78/2.08 (step @p330 :rule arith_poly_norm_rel :premises (@p329) :args ((= @t159 @t154))) % 1.78/2.08 (step @p331 :rule symm :premises (@p330)) % 1.78/2.08 (step @p332 :rule eq_resolve :premises (@p725 @p331)) % 1.78/2.08 (step @p333 false :rule contra :premises (@p332 @p327)) % 1.78/2.08 (step-pop @p728 :rule scope :premises (@p333)) % 1.78/2.08 (step-pop @p729 :rule scope :premises (@p728)) % 1.78/2.08 (step-pop @p730 :rule scope :premises (@p729)) % 1.78/2.08 (step @p334 :rule process_scope :premises (@p730) :args (false)) % 1.78/2.08 (assume-push @p731 @t104) % 1.78/2.08 (assume-push @p732 @t100) % 1.78/2.08 (assume-push @p733 @t154) % 1.78/2.08 (step @p341 :rule and_intro :premises (@p173 @p246 @p733)) % 1.78/2.08 (step-pop @p734 :rule scope :premises (@p341)) % 1.78/2.08 (step-pop @p735 :rule scope :premises (@p734)) % 1.78/2.08 (step-pop @p736 :rule scope :premises (@p735)) % 1.78/2.08 (step @p342 :rule process_scope :premises (@p736) :args (@t165)) % 1.78/2.08 (step @p346 :rule implies_elim :premises (@p342)) % 1.78/2.08 (step @p347 :rule resolution :premises (@p346 @p334) :args (true @t165)) % 1.78/2.08 (step @p348 :rule not_and :premises (@p347)) % 1.78/2.08 (step @p349 :rule chain_m_resolution :premises (@p348 @p246 @p173) :args ((not @t154) @t120 (@list @t104 @t100))) % 1.78/2.08 (step @p350 :rule cnf_or_pos :args (@t156)) % 1.78/2.08 (step @p351 :rule reordering :premises (@p350) :args ((or @t154 @t155 (not @t156)))) % 1.78/2.08 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p306) :args (@t155 @t130 (@list @t154 @t156))) % 1.78/2.08 (step @p353 :rule eq-symm :args ((= tptp.empty @t14) @t15)) % 1.78/2.08 (step @p354 :rule refl :args (@t15)) % 1.78/2.08 (step @p355 :rule eq-symm :args (@t14 tptp.empty)) % 1.78/2.08 (step @p356 :rule cong :premises (@p355 @p354) :args (@t16)) % 1.78/2.08 (step @p357 :rule trans :premises (@p356 @p353)) % 1.78/2.08 (step @p358 :rule cong :premises (@p357) :args (@t17)) % 1.78/2.08 (step @p359 :rule eq_resolve :premises (@p7 @p358)) % 1.78/2.08 (step @p360 :rule instantiate :premises (@p359) :args (@t166)) % 1.78/2.08 (step @p361 :rule instantiate :premises (@p6) :args (@t166)) % 1.78/2.08 (step @p362 :rule arith_poly_norm :args ((= (+ @t23 -1) @t167))) % 1.78/2.08 (step @p187 :rule evaluate :args (@t124)) % 1.78/2.08 (step @p363 :rule refl :args (@t23)) % 1.78/2.08 (step @p364 :rule nary_cong :premises (@p363 @p187) :args (@t168)) % 1.78/2.08 (step @p365 :rule trans :premises (@p364 @p362)) % 1.78/2.08 (step @p366 :rule arith_poly_norm :args ((= @t24 @t168))) % 1.78/2.08 (step @p367 :rule trans :premises (@p366 @p365)) % 1.78/2.08 (step @p368 :rule refl :args (@t26)) % 1.78/2.08 (step @p369 :rule cong :premises (@p368 @p367) :args (@t27)) % 1.78/2.08 (step @p370 :rule refl :args (@t28)) % 1.78/2.08 (step @p371 :rule cong :premises (@p370 @p369) :args (@t29)) % 1.78/2.08 (step @p372 :rule cong :premises (@p371) :args (@t31)) % 1.78/2.08 (step @p373 :rule eq_resolve :premises (@p10 @p372)) % 1.78/2.08 (step @p374 :rule arith_poly_norm :args ((= (* -1 (- @t169 @t173)) (* 1 @t172)))) % 1.78/2.08 (step @p375 :rule arith_poly_norm_rel :premises (@p374) :args ((= @t175 @t174))) % 1.78/2.08 (step @p376 :rule cong :premises (@p25 @p375) :args (@t176)) % 1.78/2.08 (step @p377 :rule refl :args (@t177)) % 1.78/2.08 (step @p378 :rule cong :premises (@p377 @p376) :args ((=> @t177 @t176))) % 1.78/2.08 (assume-push @p737 @t177) % 1.78/2.08 (step @p380 :rule instantiate :premises (@p373) :args (@t70)) % 1.78/2.08 (step-pop @p738 :rule scope :premises (@p380)) % 1.78/2.08 (step @p381 :rule process_scope :premises (@p738) :args (@t176)) % 1.78/2.08 (step @p383 :rule eq_resolve :premises (@p381 @p378)) % 1.78/2.08 (step @p384 :rule implies_elim :premises (@p383)) % 1.78/2.08 (step @p385 :rule chain_m_resolution :premises (@p384 @p373) :args (@t178 @t80 @t179)) % 1.78/2.08 (step @p386 :rule cnf_equiv_pos1 :args (@t178)) % 1.78/2.08 (step @p387 :rule reordering :premises (@p386) :args ((or @t133 @t174 (not @t178)))) % 1.78/2.08 (step @p388 :rule chain_m_resolution :premises (@p387 @p215 @p385) :args (@t174 @t120 (@list @t72 @t178))) % 1.78/2.08 (step @p389 :rule arith_poly_norm :args ((= (* -1 (- @t171 @t182)) (* 1 @t181)))) % 1.78/2.08 (step @p390 :rule arith_poly_norm_rel :premises (@p389) :args ((= @t184 @t183))) % 1.78/2.08 (step @p391 :rule refl :args (@t94)) % 1.78/2.08 (step @p392 :rule cong :premises (@p391 @p390) :args (@t185)) % 1.78/2.08 (step @p393 :rule cong :premises (@p377 @p392) :args ((=> @t177 @t185))) % 1.78/2.08 (assume-push @p739 @t177) % 1.78/2.08 (step @p395 :rule instantiate :premises (@p373) :args (@t117)) % 1.78/2.08 (step-pop @p740 :rule scope :premises (@p395)) % 1.78/2.08 (step @p396 :rule process_scope :premises (@p740) :args (@t185)) % 1.78/2.08 (step @p398 :rule eq_resolve :premises (@p396 @p393)) % 1.78/2.08 (step @p399 :rule implies_elim :premises (@p398)) % 1.78/2.08 (step @p400 :rule chain_m_resolution :premises (@p399 @p373) :args (@t186 @t80 @t179)) % 1.78/2.08 (step @p401 :rule cnf_equiv_pos1 :args (@t186)) % 1.78/2.08 (step @p402 :rule reordering :premises (@p401) :args ((or @t95 @t183 (not @t186)))) % 1.78/2.08 (step @p403 :rule chain_m_resolution :premises (@p402 @p156 @p400) :args (@t183 @t120 (@list @t94 @t186))) % 1.78/2.08 (step @p404 :rule cnf_or_neg :args (@t106 5)) % 1.78/2.08 (step @p405 :rule chain_m_resolution :premises (@p404 @p141) :args (@t187 @t115 @t116)) % 1.78/2.08 (step @p406 :rule bool-double-not-elim :args (@t188)) % 1.78/2.08 (step @p407 :rule refl :args (@t190)) % 1.78/2.08 (step @p408 :rule refl :args (@t191)) % 1.78/2.08 (step @p409 :rule refl :args (@t192)) % 1.78/2.08 (step @p410 :rule bool-double-not-elim :args (@t91)) % 1.78/2.08 (step @p411 :rule nary_cong :premises (@p410 @p409 @p408 @p407 @p406) :args ((or (not @t187) @t192 @t191 @t190 (not @t193)))) % 1.78/2.08 (assume-push @p741 @t189) % 1.78/2.08 (assume-push @p742 @t193) % 1.78/2.08 (assume-push @p743 @t183) % 1.78/2.08 (assume-push @p744 @t174) % 1.78/2.08 (assume-push @p745 @t187) % 1.78/2.08 (step @p417 :rule arith-elim-lt :args (@t90 3)) % 1.78/2.08 (step @p418 :rule cong :premises (@p417) :args ((not @t194))) % 1.78/2.08 (step @p419 :rule trans :premises (@p418 @p410)) % 1.78/2.08 (step @p420 :rule symm :premises (@p419)) % 1.78/2.08 (assume-push @p746 @t194) % 1.78/2.08 (step @p422 :rule evaluate :args (@t195)) % 1.78/2.08 (step @p423 :rule evaluate :args (@t196)) % 1.78/2.08 (step @p424 :rule evaluate :args ((+ 3 -1 -1 -1))) % 1.78/2.08 (step @p425 :rule refl :args (3)) % 1.78/2.08 (step @p426 :rule nary_cong :premises (@p425 @p187 @p187 @p187) :args (@t197)) % 1.78/2.08 (step @p427 :rule trans :premises (@p426 @p424)) % 1.78/2.08 (step @p428 :rule arith_poly_norm :args ((= (+ @t90 @t201 @t199 @t198) 0))) % 1.78/2.08 (step @p429 :rule refl :args (@t198)) % 1.78/2.08 (step @p430 :rule arith_poly_norm :args ((= @t203 @t199))) % 1.78/2.08 (step @p431 :rule arith_poly_norm :args ((= @t205 @t201))) % 1.78/2.08 (step @p432 :rule refl :args (@t90)) % 1.78/2.08 (step @p433 :rule nary_cong :premises (@p432 @p431 @p430 @p429) :args (@t206)) % 1.78/2.08 (step @p434 :rule trans :premises (@p433 @p428)) % 1.78/2.08 (step @p435 :rule cong :premises (@p434 @p427) :args (@t207)) % 1.78/2.08 (step @p436 :rule trans :premises (@p435 @p423)) % 1.78/2.08 (step @p437 :rule cong :premises (@p436) :args ((not @t207))) % 1.78/2.08 (step @p438 :rule trans :premises (@p437 @p422)) % 1.78/2.08 (step @p439 :rule arith-elim-lt :args (@t206 @t197)) % 1.78/2.08 (step @p440 :rule trans :premises (@p439 @p438)) % 1.78/2.08 (step @p441 :rule arith_mult_neg :args (-1 @t208)) % 1.78/2.08 (step @p442 :rule arith_trichotomy :premises (@p361 @p742)) % 1.78/2.08 (step @p443 :rule int_tight_lb :premises (@p442)) % 1.78/2.08 (step @p198 :rule evaluate :args (@t128)) % 1.78/2.08 (step @p199 :rule true_elim :premises (@p198)) % 1.78/2.08 (step @p444 :rule and_intro :premises (@p199 @p443)) % 1.78/2.08 (step @p445 :rule modus_ponens :premises (@p444 @p441)) % 1.78/2.08 (step @p446 :rule arith_mult_neg :args (-1 @t209)) % 1.78/2.08 (step @p447 :rule arith_poly_norm :args (@t210)) % 1.78/2.08 (step @p448 :rule arith_poly_norm_rel :premises (@p447) :args (@t211)) % 1.78/2.08 (step @p449 :rule symm :premises (@p448)) % 1.78/2.08 (step @p450 :rule eq_resolve :premises (@p403 @p449)) % 1.78/2.08 (step @p451 :rule and_intro :premises (@p199 @p450)) % 1.78/2.08 (step @p452 :rule modus_ponens :premises (@p451 @p446)) % 1.78/2.08 (step @p453 :rule arith_mult_neg :args (-1 @t212)) % 1.78/2.08 (step @p454 :rule arith_poly_norm :args (@t213)) % 1.78/2.08 (step @p455 :rule arith_poly_norm_rel :premises (@p454) :args (@t214)) % 1.78/2.08 (step @p456 :rule symm :premises (@p455)) % 1.78/2.08 (step @p457 :rule eq_resolve :premises (@p744 @p456)) % 1.78/2.08 (step @p458 :rule and_intro :premises (@p199 @p457)) % 1.78/2.08 (step @p459 :rule modus_ponens :premises (@p458 @p453)) % 1.78/2.08 (step @p460 :rule symm :premises (@p417)) % 1.78/2.08 (step @p461 :rule chain_m_resolution :premises (@p404 @p141) :args (@t187 @t115 @t116)) % 1.78/2.08 (step @p462 :rule eq_resolve :premises (@p461 @p460)) % 1.78/2.08 (step @p463 :rule arith_sum_ub :premises (@p462 @p459 @p452 @p445)) % 1.78/2.08 (step @p464 false :rule eq_resolve :premises (@p463 @p440)) % 1.78/2.08 (step-pop @p747 :rule scope :premises (@p464)) % 1.78/2.08 (step @p465 :rule process_scope :premises (@p747) :args (false)) % 1.78/2.08 (step @p467 :rule eq_resolve :premises (@p465 @p419)) % 1.78/2.08 (step @p468 :rule eq_resolve :premises (@p467 @p420)) % 1.78/2.08 (step @p460 :rule symm :premises (@p417)) % 1.78/2.08 (step @p469 :rule eq_resolve :premises (@p405 @p460)) % 1.78/2.08 (step @p470 false :rule contra :premises (@p469 @p468)) % 1.78/2.08 (step-pop @p748 :rule scope :premises (@p470)) % 1.78/2.08 (step-pop @p749 :rule scope :premises (@p748)) % 1.78/2.08 (step-pop @p750 :rule scope :premises (@p749)) % 1.78/2.08 (step-pop @p751 :rule scope :premises (@p750)) % 1.78/2.08 (step-pop @p752 :rule scope :premises (@p751)) % 1.78/2.08 (step @p471 :rule process_scope :premises (@p752) :args (false)) % 1.78/2.08 (assume-push @p753 @t187) % 1.78/2.08 (assume-push @p754 @t183) % 1.78/2.08 (assume-push @p755 @t174) % 1.78/2.08 (assume-push @p756 @t189) % 1.78/2.08 (assume-push @p757 @t193) % 1.78/2.08 (step @p482 :rule and_intro :premises (@p361 @p757 @p403 @p755 @p405)) % 1.78/2.08 (step-pop @p758 :rule scope :premises (@p482)) % 1.78/2.08 (step-pop @p759 :rule scope :premises (@p758)) % 1.78/2.08 (step-pop @p760 :rule scope :premises (@p759)) % 1.78/2.08 (step-pop @p761 :rule scope :premises (@p760)) % 1.78/2.08 (step-pop @p762 :rule scope :premises (@p761)) % 1.78/2.08 (step @p483 :rule process_scope :premises (@p762) :args (@t215)) % 1.78/2.08 (step @p489 :rule implies_elim :premises (@p483)) % 1.78/2.08 (step @p490 :rule resolution :premises (@p489 @p471) :args (true @t215)) % 1.78/2.08 (step @p491 :rule not_and :premises (@p490)) % 1.78/2.08 (step @p492 :rule eq_resolve :premises (@p491 @p411)) % 1.78/2.08 (step @p493 :rule reordering :premises (@p492) :args ((or @t91 @t192 @t191 @t188 @t190))) % 1.78/2.08 (step @p494 :rule chain_m_resolution :premises (@p493 @p405 @p403 @p388 @p361) :args (@t188 (@list true false false false) (@list @t91 @t183 @t174 @t189))) % 1.78/2.08 (step @p495 :rule cnf_equiv_pos1 :args (@t217)) % 1.78/2.08 (step @p496 :rule reordering :premises (@p495) :args ((or @t216 @t193 (not @t217)))) % 1.78/2.08 (step @p497 :rule chain_m_resolution :premises (@p496 @p494 @p360) :args (@t216 @t120 (@list @t188 @t217))) % 1.78/2.08 (step @p498 :rule instantiate :premises (@p359) :args (@t219)) % 1.78/2.08 (assume-push @p763 @t188) % 1.78/2.08 (assume-push @p764 @t188) % 1.78/2.08 (step @p501 :rule arith-elim-lt :args (@t169 1)) % 1.78/2.08 (step @p502 :rule symm :premises (@p501)) % 1.78/2.08 (assume-push @p765 @t208) % 1.78/2.08 (step @p504 :rule evaluate :args ((<= 0 -1))) % 1.78/2.08 (step @p505 :rule evaluate :args ((+ -1 0))) % 1.78/2.08 (step @p506 :rule nary_cong :premises (@p187 @p125) :args (@t220)) % 1.78/2.08 (step @p507 :rule trans :premises (@p506 @p505)) % 1.78/2.08 (step @p508 :rule arith_poly_norm :args ((= @t221 0))) % 1.78/2.08 (step @p509 :rule cong :premises (@p508 @p507) :args ((<= @t221 @t220))) % 1.78/2.08 (step @p510 :rule trans :premises (@p509 @p504)) % 1.78/2.08 (step @p441 :rule arith_mult_neg :args (-1 @t208)) % 1.78/2.08 (step @p198 :rule evaluate :args (@t128)) % 1.78/2.08 (step @p199 :rule true_elim :premises (@p198)) % 1.78/2.08 (step @p511 :rule and_intro :premises (@p199 @p765)) % 1.78/2.08 (step @p512 :rule modus_ponens :premises (@p511 @p441)) % 1.78/2.08 (step @p513 :rule arith_sum_ub :premises (@p512 @p763)) % 1.78/2.08 (step @p514 false :rule eq_resolve :premises (@p513 @p510)) % 1.78/2.08 (step-pop @p766 :rule scope :premises (@p514)) % 1.78/2.08 (step @p515 :rule process_scope :premises (@p766) :args (false)) % 1.78/2.08 (step @p517 :rule eq_resolve :premises (@p515 @p502)) % 1.78/2.08 (step @p518 :rule eq_resolve :premises (@p517 @p501)) % 1.78/2.08 (step-pop @p767 :rule scope :premises (@p518)) % 1.78/2.08 (step @p519 :rule process_scope :premises (@p767) :args (@t222)) % 1.78/2.08 (step @p521 :rule modus_ponens :premises (@p763 @p519)) % 1.78/2.08 (step-pop @p768 :rule scope :premises (@p521)) % 1.78/2.08 (step @p522 :rule process_scope :premises (@p768) :args (@t222)) % 1.78/2.08 (step @p524 :rule implies_elim :premises (@p522)) % 1.78/2.08 (step @p525 :rule chain_m_resolution :premises (@p524 @p494) :args (@t222 @t80 (@list @t188))) % 1.78/2.08 (step @p526 :rule instantiate :premises (@p6) :args (@t219)) % 1.78/2.08 (step @p527 :rule arith_poly_norm :args ((= (* -1 (- @t223 @t227)) (* 1 @t226)))) % 1.78/2.08 (step @p528 :rule arith_poly_norm_rel :premises (@p527) :args ((= @t229 @t228))) % 1.78/2.08 (step @p529 :rule refl :args (@t230)) % 1.78/2.08 (step @p530 :rule cong :premises (@p529 @p528) :args (@t231)) % 1.78/2.08 (step @p531 :rule cong :premises (@p377 @p530) :args ((=> @t177 @t231))) % 1.78/2.08 (assume-push @p769 @t177) % 1.78/2.08 (step @p533 :rule instantiate :premises (@p373) :args (@t66)) % 1.78/2.08 (step-pop @p770 :rule scope :premises (@p533)) % 1.78/2.08 (step @p534 :rule process_scope :premises (@p770) :args (@t231)) % 1.78/2.08 (step @p536 :rule eq_resolve :premises (@p534 @p531)) % 1.78/2.08 (step @p537 :rule implies_elim :premises (@p536)) % 1.78/2.08 (step @p538 :rule chain_m_resolution :premises (@p537 @p373) :args (@t232 @t80 @t179)) % 1.78/2.08 (step @p539 :rule instantiate :premises (@p4) :args ((@list @t65 @t64 @t63))) % 1.78/2.08 (step @p540 :rule trans :premises (@p233 @p226)) % 1.78/2.08 (step @p541 :rule true_elim :premises (@p540)) % 1.78/2.08 (step @p542 :rule cnf_equiv_pos2 :args (@t234)) % 1.78/2.08 (step @p543 :rule reordering :premises (@p542) :args ((or @t233 (not @t139) (not @t234)))) % 1.78/2.08 (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p539) :args (@t233 @t120 (@list @t139 @t234))) % 1.78/2.08 (step @p545 :rule cnf_or_pos :args (@t233)) % 1.78/2.08 (step @p546 :rule reordering :premises (@p545) :args ((or @t230 @t154 (not @t233)))) % 1.78/2.08 (step @p547 :rule chain_m_resolution :premises (@p546 @p349 @p544) :args (@t230 @t130 (@list @t154 @t233))) % 1.78/2.08 (step @p548 :rule cnf_equiv_pos1 :args (@t232)) % 1.78/2.08 (step @p549 :rule reordering :premises (@p548) :args ((or (not @t230) @t228 (not @t232)))) % 1.78/2.08 (step @p550 :rule chain_m_resolution :premises (@p549 @p547 @p538) :args (@t228 @t120 (@list @t230 @t232))) % 1.78/2.08 (step @p551 :rule arith_poly_norm :args ((= (* -1 (- @t225 @t182)) (* 1 @t236)))) % 1.78/2.08 (step @p552 :rule arith_poly_norm_rel :premises (@p551) :args ((= @t238 @t237))) % 1.78/2.08 (step @p553 :rule refl :args (@t92)) % 1.78/2.08 (step @p554 :rule cong :premises (@p553 @p552) :args (@t239)) % 1.78/2.08 (step @p555 :rule cong :premises (@p377 @p554) :args ((=> @t177 @t239))) % 1.78/2.08 (assume-push @p771 @t177) % 1.78/2.08 (step @p557 :rule instantiate :premises (@p373) :args (@t135)) % 1.78/2.08 (step-pop @p772 :rule scope :premises (@p557)) % 1.78/2.08 (step @p558 :rule process_scope :premises (@p772) :args (@t239)) % 1.78/2.08 (step @p560 :rule eq_resolve :premises (@p558 @p555)) % 1.78/2.08 (step @p561 :rule implies_elim :premises (@p560)) % 1.78/2.08 (step @p562 :rule chain_m_resolution :premises (@p561 @p373) :args (@t240 @t80 @t179)) % 1.78/2.08 (step @p563 :rule cnf_equiv_pos1 :args (@t240)) % 1.78/2.08 (step @p564 :rule reordering :premises (@p563) :args ((or @t93 @t237 (not @t240)))) % 1.78/2.08 (step @p565 :rule chain_m_resolution :premises (@p564 @p148 @p562) :args (@t237 @t120 (@list @t92 @t240))) % 1.78/2.08 (step @p566 :rule bool-double-not-elim :args (@t208)) % 1.78/2.08 (step @p567 :rule bool-double-not-elim :args (@t241)) % 1.78/2.08 (step @p568 :rule refl :args (@t243)) % 1.78/2.08 (step @p569 :rule refl :args (@t244)) % 1.78/2.08 (step @p570 :rule refl :args (@t245)) % 1.78/2.08 (step @p571 :rule nary_cong :premises (@p409 @p570 @p569 @p408 @p568 @p567 @p566) :args ((or @t192 @t245 @t244 @t191 @t243 (not @t246) (not @t222)))) % 1.78/2.08 (assume-push @p773 @t242) % 1.78/2.08 (assume-push @p774 @t246) % 1.78/2.08 (assume-push @p775 @t222) % 1.78/2.08 (assume-push @p776 @t183) % 1.78/2.08 (assume-push @p777 @t237) % 1.78/2.08 (assume-push @p778 @t174) % 1.78/2.08 (assume-push @p779 @t228) % 1.78/2.08 (assume-push @p780 @t249) % 1.78/2.08 (step @p422 :rule evaluate :args (@t195)) % 1.78/2.08 (step @p423 :rule evaluate :args (@t196)) % 1.78/2.08 (step @p580 :rule evaluate :args ((+ -1 1 -1 1 1 -1))) % 1.78/2.08 (step @p581 :rule refl :args (1)) % 1.78/2.08 (step @p582 :rule nary_cong :premises (@p187 @p581 @p187 @p581 @p581 @p187) :args (@t250)) % 1.78/2.08 (step @p583 :rule trans :premises (@p582 @p580)) % 1.78/2.08 (step @p584 :rule arith_poly_norm :args ((= (+ @t198 0 @t169 @t225 @t200 @t251 @t171 0) 0))) % 1.78/2.08 (step @p585 :rule arith_poly_norm :args ((= @t252 0))) % 1.78/2.08 (step @p586 :rule refl :args (@t171)) % 1.78/2.08 (step @p587 :rule refl :args (@t251)) % 1.78/2.08 (step @p588 :rule refl :args (@t200)) % 1.78/2.08 (step @p589 :rule refl :args (@t225)) % 1.78/2.08 (step @p590 :rule refl :args (@t169)) % 1.78/2.08 (step @p591 :rule arith_poly_norm :args ((= @t253 0))) % 1.78/2.08 (step @p429 :rule refl :args (@t198)) % 1.78/2.08 (step @p592 :rule nary_cong :premises (@p429 @p591 @p590 @p589 @p588 @p587 @p586 @p585) :args (@t254)) % 1.78/2.08 (step @p593 :rule trans :premises (@p592 @p584)) % 1.78/2.08 (step @p594 :rule arith_poly_norm :args ((= @t256 @t254))) % 1.78/2.08 (step @p595 :rule trans :premises (@p594 @p593)) % 1.78/2.08 (step @p596 :rule cong :premises (@p595 @p583) :args (@t257)) % 1.78/2.08 (step @p597 :rule trans :premises (@p596 @p423)) % 1.78/2.08 (step @p598 :rule cong :premises (@p597) :args ((not @t257))) % 1.78/2.08 (step @p599 :rule trans :premises (@p598 @p422)) % 1.78/2.08 (step @p600 :rule arith-elim-lt :args (@t256 @t250)) % 1.78/2.08 (step @p601 :rule trans :premises (@p600 @p599)) % 1.78/2.08 (step @p602 :rule arith_mult_neg :args (-1 (>= @t223 1))) % 1.78/2.08 (step @p603 :rule arith_trichotomy :premises (@p526 @p774)) % 1.78/2.08 (step @p604 :rule int_tight_lb :premises (@p603)) % 1.78/2.08 (step @p198 :rule evaluate :args (@t128)) % 1.78/2.08 (step @p199 :rule true_elim :premises (@p198)) % 1.78/2.08 (step @p605 :rule and_intro :premises (@p199 @p604)) % 1.78/2.08 (step @p606 :rule modus_ponens :premises (@p605 @p602)) % 1.78/2.08 (step @p501 :rule arith-elim-lt :args (@t169 1)) % 1.78/2.08 (step @p502 :rule symm :premises (@p501)) % 1.78/2.08 (step @p607 :rule eq_resolve :premises (@p775 @p502)) % 1.78/2.08 (step @p447 :rule arith_poly_norm :args (@t210)) % 1.78/2.08 (step @p448 :rule arith_poly_norm_rel :premises (@p447) :args (@t211)) % 1.78/2.08 (step @p449 :rule symm :premises (@p448)) % 1.78/2.08 (step @p450 :rule eq_resolve :premises (@p403 @p449)) % 1.78/2.08 (step @p608 :rule arith_mult_neg :args (-1 @t258)) % 1.78/2.08 (step @p609 :rule arith_poly_norm :args ((= (* -1 (- @t255 1)) (* -1 @t236)))) % 1.78/2.08 (step @p610 :rule arith_poly_norm_rel :premises (@p609) :args ((= @t258 @t237))) % 1.78/2.08 (step @p611 :rule symm :premises (@p610)) % 1.78/2.08 (step @p612 :rule eq_resolve :premises (@p565 @p611)) % 1.78/2.08 (step @p613 :rule and_intro :premises (@p199 @p612)) % 1.78/2.08 (step @p614 :rule modus_ponens :premises (@p613 @p608)) % 1.78/2.08 (step @p454 :rule arith_poly_norm :args (@t213)) % 1.78/2.08 (step @p455 :rule arith_poly_norm_rel :premises (@p454) :args (@t214)) % 1.78/2.08 (step @p456 :rule symm :premises (@p455)) % 1.78/2.08 (step @p615 :rule eq_resolve :premises (@p778 @p456)) % 1.78/2.08 (step @p616 :rule arith_mult_neg :args (-1 @t249)) % 1.78/2.08 (step @p617 :rule and_intro :premises (@p199 @p780)) % 1.78/2.08 (step @p618 :rule modus_ponens :premises (@p617 @p616)) % 1.78/2.08 (step @p619 :rule arith_sum_ub :premises (@p618 @p615 @p614 @p450 @p607 @p606)) % 1.78/2.08 (step @p620 false :rule eq_resolve :premises (@p619 @p601)) % 1.78/2.08 (step-pop @p781 :rule scope :premises (@p620)) % 1.78/2.08 (step @p621 :rule process_scope :premises (@p781) :args (false)) % 1.78/2.08 (step @p623 :rule arith_poly_norm :args ((= (* -1 (- @t248 1)) (* -1 @t226)))) % 1.78/2.08 (step @p624 :rule arith_poly_norm_rel :premises (@p623) :args ((= @t249 @t228))) % 1.78/2.08 (step @p625 :rule symm :premises (@p624)) % 1.78/2.08 (step @p626 :rule eq_resolve :premises (@p779 @p625)) % 1.78/2.08 (step @p627 false :rule contra :premises (@p626 @p621)) % 1.78/2.08 (step-pop @p782 :rule scope :premises (@p627)) % 1.78/2.08 (step-pop @p783 :rule scope :premises (@p782)) % 1.78/2.08 (step-pop @p784 :rule scope :premises (@p783)) % 1.78/2.08 (step-pop @p785 :rule scope :premises (@p784)) % 1.78/2.08 (step-pop @p786 :rule scope :premises (@p785)) % 1.78/2.08 (step-pop @p787 :rule scope :premises (@p786)) % 1.78/2.08 (step-pop @p788 :rule scope :premises (@p787)) % 1.78/2.08 (step @p628 :rule process_scope :premises (@p788) :args (false)) % 1.78/2.08 (assume-push @p789 @t183) % 1.78/2.08 (assume-push @p790 @t237) % 1.78/2.08 (assume-push @p791 @t228) % 1.78/2.08 (assume-push @p792 @t174) % 1.78/2.08 (assume-push @p793 @t242) % 1.78/2.08 (assume-push @p794 @t246) % 1.78/2.08 (assume-push @p795 @t222) % 1.78/2.08 (step @p643 :rule and_intro :premises (@p526 @p794 @p795 @p403 @p565 @p792 @p791)) % 1.78/2.08 (step-pop @p796 :rule scope :premises (@p643)) % 1.78/2.08 (step-pop @p797 :rule scope :premises (@p796)) % 1.78/2.08 (step-pop @p798 :rule scope :premises (@p797)) % 1.78/2.08 (step-pop @p799 :rule scope :premises (@p798)) % 1.78/2.08 (step-pop @p800 :rule scope :premises (@p799)) % 1.78/2.08 (step-pop @p801 :rule scope :premises (@p800)) % 1.78/2.08 (step-pop @p802 :rule scope :premises (@p801)) % 1.78/2.08 (step @p644 :rule process_scope :premises (@p802) :args (@t259)) % 1.78/2.08 (step @p652 :rule implies_elim :premises (@p644)) % 1.78/2.08 (step @p653 :rule resolution :premises (@p652 @p628) :args (true @t259)) % 1.78/2.08 (step @p654 :rule not_and :premises (@p653)) % 1.78/2.08 (step @p655 :rule eq_resolve :premises (@p654 @p571)) % 1.78/2.08 (step @p656 :rule reordering :premises (@p655) :args ((or @t192 @t245 @t244 @t191 @t241 @t243 @t208))) % 1.78/2.08 (step @p657 :rule chain_m_resolution :premises (@p656 @p403 @p565 @p550 @p388 @p526 @p525) :args (@t241 (@list false false false false false true) (@list @t183 @t237 @t228 @t174 @t242 @t208))) % 1.78/2.08 (step @p658 :rule cnf_equiv_pos1 :args (@t261)) % 1.78/2.08 (step @p659 :rule reordering :premises (@p658) :args ((or @t260 @t246 (not @t261)))) % 1.78/2.08 (step @p660 :rule chain_m_resolution :premises (@p659 @p657 @p498) :args (@t260 @t120 (@list @t241 @t261))) % 1.78/2.08 (step @p661 :rule refl :args (@t262)) % 1.78/2.08 (step @p662 :rule refl :args (@t263)) % 1.78/2.08 (step @p663 :rule refl :args (@t264)) % 1.78/2.08 (step @p664 :rule bool-double-not-elim :args (@t265)) % 1.78/2.08 (step @p665 :rule nary_cong :premises (@p664 @p663 @p662 @p661) :args ((or (not @t266) @t264 @t263 @t262))) % 1.78/2.08 (assume-push @p803 @t155) % 1.78/2.08 (assume-push @p804 @t216) % 1.78/2.08 (assume-push @p805 @t260) % 1.78/2.08 (assume-push @p806 @t266) % 1.78/2.08 (step @p670 :rule evaluate :args ((= false true))) % 1.78/2.08 (step @p671 :rule true_intro :premises (@p803)) % 1.78/2.08 (step @p672 :rule symm :premises (@p805)) % 1.78/2.08 (step @p673 :rule trans :premises (@p672 @p804)) % 1.78/2.08 (step @p674 :rule cong :premises (@p232 @p673) :args (@t265)) % 1.78/2.08 (step @p675 :rule false_intro :premises (@p15)) % 1.78/2.08 (step @p676 :rule symm :premises (@p675)) % 1.78/2.08 (step @p677 :rule trans :premises (@p676 @p674 @p671)) % 1.78/2.08 (step @p678 false :rule eq_resolve :premises (@p677 @p670)) % 1.78/2.08 (step-pop @p807 :rule scope :premises (@p678)) % 1.78/2.08 (step-pop @p808 :rule scope :premises (@p807)) % 1.78/2.08 (step-pop @p809 :rule scope :premises (@p808)) % 1.78/2.08 (step-pop @p810 :rule scope :premises (@p809)) % 1.78/2.08 (step @p679 :rule process_scope :premises (@p810) :args (false)) % 1.78/2.08 (assume-push @p811 @t266) % 1.78/2.08 (assume-push @p812 @t155) % 1.78/2.08 (assume-push @p813 @t260) % 1.78/2.08 (assume-push @p814 @t216) % 1.78/2.08 (step @p688 :rule and_intro :premises (@p812 @p814 @p813 @p15)) % 1.78/2.08 (step-pop @p815 :rule scope :premises (@p688)) % 1.78/2.08 (step-pop @p816 :rule scope :premises (@p815)) % 1.78/2.08 (step-pop @p817 :rule scope :premises (@p816)) % 1.78/2.08 (step-pop @p818 :rule scope :premises (@p817)) % 1.78/2.08 (step @p689 :rule process_scope :premises (@p818) :args (@t267)) % 1.78/2.08 (step @p694 :rule implies_elim :premises (@p689)) % 1.78/2.08 (step @p695 :rule resolution :premises (@p694 @p679) :args (true @t267)) % 1.78/2.08 (step @p696 :rule not_and :premises (@p695)) % 1.78/2.08 (step @p697 :rule eq_resolve :premises (@p696 @p665)) % 1.78/2.08 (step @p698 false :rule chain_m_resolution :premises (@p697 @p660 @p497 @p352 @p15) :args (false (@list false false false true) (@list @t260 @t216 @t155 @t265))) % 1.78/2.08 ) % 1.78/2.08 % SZS output end Proof % 1.78/2.08 % cvc5 exiting %------------------------------------------------------------------------------