%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN007-3 : 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 : n003.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 164.51s 164.89s % Output : Proof 164.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : HEN007-3 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n003.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 02:15:14 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.68/16.02 --- Run --no-e-matching --full-saturate-quant at 6... % 21.81/22.05 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.80/28.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.90/34.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.06/64.34 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.05/79.38 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.24/112.54 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.34/127.68 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.52/157.86 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 164.51/164.89 % SZS status Unsatisfiable % 164.51/164.89 % SZS output start Proof % 164.61/164.91 ( % 164.61/164.91 (declare-sort $$unsorted 0) % 164.61/164.91 (declare-const tptp.c $$unsorted) % 164.61/164.91 (declare-const tptp.a $$unsorted) % 164.61/164.91 (declare-const tptp.b $$unsorted) % 164.61/164.91 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 164.61/164.91 (declare-const tptp.identity $$unsorted) % 164.61/164.91 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 164.61/164.91 (declare-const tptp.zero $$unsorted) % 164.61/164.91 (define @t1 () (@var "Y" $$unsorted)) % 164.61/164.91 (define @t2 () (@var "X" $$unsorted)) % 164.61/164.91 (define @t3 () (tptp.divide @t2 @t1)) % 164.61/164.91 (define @t4 () (= @t3 tptp.zero)) % 164.61/164.91 (define @t5 () (tptp.less_equal @t2 @t1)) % 164.61/164.91 (define @t6 () (not @t5)) % 164.61/164.91 (define @t7 () (or @t6 @t4)) % 164.61/164.91 (define @t8 () (@list @t2 @t1)) % 164.61/164.91 (define @t9 () (forall @t8 @t7)) % 164.61/164.91 (define @t10 () (not @t4)) % 164.61/164.91 (define @t11 () (or @t10 @t5)) % 164.61/164.91 (define @t12 () (forall @t8 @t11)) % 164.61/164.91 (define @t13 () (@var "Z" $$unsorted)) % 164.61/164.91 (define @t14 () (@list @t2)) % 164.61/164.91 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 164.61/164.91 (define @t16 () (tptp.less_equal tptp.a tptp.b)) % 164.61/164.91 (define @t17 () (tptp.divide tptp.c tptp.a)) % 164.61/164.91 (define @t18 () (tptp.divide tptp.c tptp.b)) % 164.61/164.91 (define @t19 () (tptp.less_equal @t18 @t17)) % 164.61/164.91 (define @t20 () (tptp.divide tptp.c tptp.identity)) % 164.61/164.91 (define @t21 () (tptp.divide @t17 @t20)) % 164.61/164.91 (define @t22 () (tptp.divide tptp.a tptp.zero)) % 164.61/164.91 (define @t23 () (tptp.less_equal tptp.a @t22)) % 164.61/164.91 (define @t24 () (not @t23)) % 164.61/164.91 (define @t25 () (tptp.less_equal @t22 tptp.a)) % 164.61/164.91 (define @t26 () (not @t25)) % 164.61/164.91 (define @t27 () (or @t26 @t24 (= @t22 tptp.a))) % 164.61/164.91 (define @t28 () (@list @t22 tptp.a)) % 164.61/164.91 (define @t29 () (= tptp.a @t22)) % 164.61/164.91 (define @t30 () (or @t26 @t24 @t29)) % 164.61/164.91 (define @t31 () (@list false)) % 164.61/164.91 (define @t32 () (@list @t15)) % 164.61/164.91 (define @t33 () (@list tptp.a @t22)) % 164.61/164.91 (define @t34 () (tptp.divide tptp.a @t22)) % 164.61/164.91 (define @t35 () (tptp.divide @t34 tptp.a)) % 164.61/164.91 (define @t36 () (tptp.less_equal @t34 @t35)) % 164.61/164.91 (define @t37 () (not @t36)) % 164.61/164.91 (define @t38 () (tptp.less_equal @t35 @t34)) % 164.61/164.91 (define @t39 () (not @t38)) % 164.61/164.91 (define @t40 () (or @t39 @t37 (= @t35 @t34))) % 164.61/164.91 (define @t41 () (= @t34 @t35)) % 164.61/164.91 (define @t42 () (or @t39 @t37 @t41)) % 164.61/164.91 (define @t43 () (tptp.divide tptp.a tptp.a)) % 164.61/164.91 (define @t44 () (tptp.divide @t43 tptp.b)) % 164.61/164.91 (define @t45 () (tptp.divide tptp.a @t44)) % 164.61/164.91 (define @t46 () (tptp.divide tptp.zero @t45)) % 164.61/164.91 (define @t47 () (tptp.divide tptp.a @t45)) % 164.61/164.91 (define @t48 () (tptp.divide @t22 @t45)) % 164.61/164.91 (define @t49 () (tptp.divide @t47 @t46)) % 164.61/164.91 (define @t50 () (@list @t49 @t48)) % 164.61/164.91 (define @t51 () (= tptp.zero (tptp.divide @t49 @t48))) % 164.61/164.91 (define @t52 () (tptp.less_equal @t49 @t48)) % 164.61/164.91 (define @t53 () (not @t52)) % 164.61/164.91 (define @t54 () (or @t53 @t51)) % 164.61/164.91 (define @t55 () (@list false false)) % 164.61/164.91 (define @t56 () (tptp.divide tptp.a tptp.b)) % 164.61/164.91 (define @t57 () (tptp.divide @t56 @t56)) % 164.61/164.91 (define @t58 () (tptp.divide @t57 @t44)) % 164.61/164.91 (define @t59 () (= tptp.zero @t58)) % 164.61/164.91 (define @t60 () (tptp.less_equal @t57 @t44)) % 164.61/164.91 (define @t61 () (not @t60)) % 164.61/164.91 (define @t62 () (or @t61 @t59)) % 164.61/164.91 (define @t63 () (= tptp.zero @t56)) % 164.61/164.91 (define @t64 () (not @t16)) % 164.61/164.91 (define @t65 () (or @t64 @t63)) % 164.61/164.91 (define @t66 () (@list tptp.zero)) % 164.61/164.91 (define @t67 () (tptp.divide tptp.zero tptp.zero)) % 164.61/164.91 (define @t68 () (= tptp.zero @t67)) % 164.61/164.91 (define @t69 () (tptp.less_equal tptp.zero tptp.zero)) % 164.61/164.91 (define @t70 () (not @t69)) % 164.61/164.91 (define @t71 () (or @t70 @t68)) % 164.61/164.91 (define @t72 () (tptp.divide @t67 tptp.zero)) % 164.61/164.91 (define @t73 () (@list @t43 tptp.a)) % 164.61/164.91 (define @t74 () (tptp.divide @t43 tptp.a)) % 164.61/164.91 (define @t75 () (= tptp.zero @t74)) % 164.61/164.91 (define @t76 () (tptp.less_equal @t43 tptp.a)) % 164.61/164.91 (define @t77 () (not @t76)) % 164.61/164.91 (define @t78 () (or @t77 @t75)) % 164.61/164.91 (define @t79 () (tptp.less_equal @t43 @t74)) % 164.61/164.91 (define @t80 () (not @t79)) % 164.61/164.91 (define @t81 () (tptp.less_equal @t74 @t43)) % 164.61/164.91 (define @t82 () (not @t81)) % 164.61/164.91 (define @t83 () (or @t82 @t80 (= @t74 @t43))) % 164.61/164.91 (define @t84 () (= @t43 @t74)) % 164.61/164.91 (define @t85 () (or @t82 @t80 @t84)) % 164.61/164.91 (define @t86 () (tptp.divide tptp.zero tptp.a)) % 164.61/164.91 (define @t87 () (tptp.divide @t43 @t86)) % 164.61/164.91 (define @t88 () (tptp.divide @t22 tptp.a)) % 164.61/164.91 (define @t89 () (tptp.less_equal @t88 @t87)) % 164.61/164.91 (define @t90 () (not @t89)) % 164.61/164.91 (define @t91 () (tptp.less_equal @t87 @t88)) % 164.61/164.91 (define @t92 () (not @t91)) % 164.61/164.91 (define @t93 () (or @t92 @t90 (= @t87 @t88))) % 164.61/164.91 (define @t94 () (@list @t87 @t88)) % 164.61/164.91 (define @t95 () (= @t88 @t87)) % 164.61/164.91 (define @t96 () (or @t92 @t90 @t95)) % 164.61/164.91 (define @t97 () (= tptp.zero (tptp.divide @t87 @t88))) % 164.61/164.91 (define @t98 () (or @t92 @t97)) % 164.61/164.91 (define @t99 () (= tptp.zero @t88)) % 164.61/164.91 (define @t100 () (or @t26 @t99)) % 164.61/164.91 (define @t101 () (@list false false false)) % 164.61/164.91 (define @t102 () (tptp.less_equal @t43 @t86)) % 164.61/164.91 (define @t103 () (= tptp.zero @t87)) % 164.61/164.91 (define @t104 () (not @t103)) % 164.61/164.91 (define @t105 () (or @t104 @t102)) % 164.61/164.91 (define @t106 () (= tptp.zero @t86)) % 164.61/164.91 (define @t107 () (tptp.less_equal tptp.zero tptp.a)) % 164.61/164.91 (define @t108 () (not @t107)) % 164.61/164.91 (define @t109 () (or @t108 @t106)) % 164.61/164.91 (define @t110 () (tptp.divide @t43 @t44)) % 164.61/164.91 (define @t111 () (tptp.divide @t45 @t45)) % 164.61/164.91 (define @t112 () (tptp.less_equal @t110 @t111)) % 164.61/164.91 (define @t113 () (not @t112)) % 164.61/164.91 (define @t114 () (tptp.less_equal @t111 @t110)) % 164.61/164.91 (define @t115 () (not @t114)) % 164.61/164.91 (define @t116 () (or @t115 @t113 (= @t111 @t110))) % 164.61/164.91 (define @t117 () (@list @t111 @t110)) % 164.61/164.91 (define @t118 () (= @t110 @t111)) % 164.61/164.91 (define @t119 () (or @t115 @t113 @t118)) % 164.61/164.91 (define @t120 () (= tptp.zero (tptp.divide @t111 @t110))) % 164.61/164.91 (define @t121 () (or @t115 @t120)) % 164.61/164.91 (define @t122 () (tptp.divide tptp.zero tptp.b)) % 164.61/164.91 (define @t123 () (= tptp.zero @t122)) % 164.61/164.91 (define @t124 () (tptp.less_equal tptp.zero tptp.b)) % 164.61/164.91 (define @t125 () (not @t124)) % 164.61/164.91 (define @t126 () (or @t125 @t123)) % 164.61/164.91 (define @t127 () (tptp.divide tptp.a @t86)) % 164.61/164.91 (define @t128 () (tptp.divide @t127 @t127)) % 164.61/164.91 (define @t129 () (tptp.less_equal @t48 @t49)) % 164.61/164.91 (define @t130 () (= @t49 @t48)) % 164.61/164.91 (define @t131 () (not @t129)) % 164.61/164.91 (define @t132 () (or @t53 @t131 @t130)) % 164.61/164.91 (define @t133 () (tptp.less_equal @t47 @t46)) % 164.61/164.91 (define @t134 () (= tptp.zero @t49)) % 164.61/164.91 (define @t135 () (not @t134)) % 164.61/164.91 (define @t136 () (or @t135 @t133)) % 164.61/164.91 (define @t137 () (tptp.divide @t56 tptp.zero)) % 164.61/164.91 (define @t138 () (tptp.divide tptp.b tptp.zero)) % 164.61/164.91 (define @t139 () (tptp.divide @t22 @t138)) % 164.61/164.91 (define @t140 () (@list @t139 @t137)) % 164.61/164.91 (define @t141 () (= tptp.zero (tptp.divide @t139 @t137))) % 164.61/164.91 (define @t142 () (tptp.less_equal @t139 @t137)) % 164.61/164.91 (define @t143 () (not @t142)) % 164.61/164.91 (define @t144 () (or @t143 @t141)) % 164.61/164.91 (define @t145 () (tptp.less_equal @t137 @t139)) % 164.61/164.91 (define @t146 () (= @t139 @t137)) % 164.61/164.91 (define @t147 () (not @t145)) % 164.61/164.91 (define @t148 () (or @t143 @t147 @t146)) % 164.61/164.91 (define @t149 () (tptp.divide @t139 @t22)) % 164.61/164.91 (define @t150 () (= tptp.zero @t149)) % 164.61/164.91 (define @t151 () (tptp.less_equal @t139 @t22)) % 164.61/164.91 (define @t152 () (not @t151)) % 164.61/164.91 (define @t153 () (or @t152 @t150)) % 164.61/164.91 (define @t154 () (@list @t34 tptp.a)) % 164.61/164.91 (define @t155 () (= tptp.zero @t35)) % 164.61/164.91 (define @t156 () (tptp.less_equal @t34 tptp.a)) % 164.61/164.91 (define @t157 () (not @t156)) % 164.61/164.91 (define @t158 () (or @t157 @t155)) % 164.61/164.91 (define @t159 () (= tptp.zero @t34)) % 164.61/164.91 (define @t160 () (not @t159)) % 164.61/164.91 (define @t161 () (or @t160 @t23)) % 164.61/164.91 (define @t162 () (tptp.divide tptp.c @t22)) % 164.61/164.91 (define @t163 () (tptp.divide tptp.c tptp.zero)) % 164.61/164.91 (define @t164 () (tptp.less_equal tptp.c @t163)) % 164.61/164.91 (define @t165 () (not @t164)) % 164.61/164.91 (define @t166 () (tptp.less_equal @t163 tptp.c)) % 164.61/164.91 (define @t167 () (not @t166)) % 164.61/164.91 (define @t168 () (or @t167 @t165 (= @t163 tptp.c))) % 164.61/164.91 (define @t169 () (= tptp.c @t163)) % 164.61/164.91 (define @t170 () (or @t167 @t165 @t169)) % 164.61/164.91 (define @t171 () (= tptp.zero @t20)) % 164.61/164.91 (define @t172 () (tptp.less_equal tptp.c tptp.identity)) % 164.61/164.91 (define @t173 () (not @t172)) % 164.61/164.91 (define @t174 () (or @t173 @t171)) % 164.61/164.91 (define @t175 () (tptp.divide tptp.c @t20)) % 164.61/164.91 (define @t176 () (tptp.divide @t17 tptp.c)) % 164.61/164.91 (define @t177 () (= tptp.zero @t176)) % 164.61/164.91 (define @t178 () (tptp.less_equal @t17 tptp.c)) % 164.61/164.91 (define @t179 () (not @t178)) % 164.61/164.91 (define @t180 () (or @t179 @t177)) % 164.61/164.91 (define @t181 () (tptp.divide tptp.c @t176)) % 164.61/164.91 (define @t182 () (tptp.divide tptp.c @t181)) % 164.61/164.91 (define @t183 () (tptp.divide @t20 @t181)) % 164.61/164.91 (define @t184 () (tptp.divide @t182 @t183)) % 164.61/164.91 (define @t185 () (tptp.less_equal @t182 @t184)) % 164.61/164.91 (define @t186 () (not @t185)) % 164.61/164.91 (define @t187 () (tptp.less_equal @t184 @t182)) % 164.61/164.91 (define @t188 () (not @t187)) % 164.61/164.91 (define @t189 () (or @t188 @t186 (= @t184 @t182))) % 164.61/164.91 (define @t190 () (= @t182 @t184)) % 164.61/164.91 (define @t191 () (or @t188 @t186 @t190)) % 164.61/164.91 (define @t192 () (@list @t182 @t183)) % 164.61/164.91 (define @t193 () (tptp.divide @t175 @t181)) % 164.61/164.91 (define @t194 () (@list @t184 @t193)) % 164.61/164.91 (define @t195 () (= tptp.zero (tptp.divide @t184 @t193))) % 164.61/164.91 (define @t196 () (tptp.less_equal @t184 @t193)) % 164.61/164.91 (define @t197 () (not @t196)) % 164.61/164.91 (define @t198 () (or @t197 @t195)) % 164.61/164.91 (define @t199 () (tptp.divide tptp.c @t17)) % 164.61/164.91 (define @t200 () (tptp.divide @t199 tptp.c)) % 164.61/164.91 (define @t201 () (= tptp.zero @t200)) % 164.61/164.91 (define @t202 () (tptp.less_equal @t199 tptp.c)) % 164.61/164.91 (define @t203 () (not @t202)) % 164.61/164.91 (define @t204 () (or @t203 @t201)) % 164.61/164.91 (define @t205 () (tptp.divide tptp.c tptp.c)) % 164.61/164.91 (define @t206 () (tptp.divide @t205 @t176)) % 164.61/164.91 (define @t207 () (tptp.less_equal @t200 @t206)) % 164.61/164.91 (define @t208 () (not @t207)) % 164.61/164.91 (define @t209 () (tptp.less_equal @t206 @t200)) % 164.61/164.91 (define @t210 () (not @t209)) % 164.61/164.91 (define @t211 () (or @t210 @t208 (= @t206 @t200))) % 164.61/164.91 (define @t212 () (@list @t206 @t200)) % 164.61/164.91 (define @t213 () (= @t200 @t206)) % 164.61/164.91 (define @t214 () (or @t210 @t208 @t213)) % 164.61/164.91 (define @t215 () (= tptp.zero (tptp.divide @t206 @t200))) % 164.61/164.91 (define @t216 () (or @t210 @t215)) % 164.61/164.91 (define @t217 () (tptp.divide @t181 @t181)) % 164.61/164.91 (define @t218 () (tptp.less_equal @t206 @t217)) % 164.61/164.91 (define @t219 () (not @t218)) % 164.61/164.91 (define @t220 () (tptp.less_equal @t217 @t206)) % 164.61/164.91 (define @t221 () (not @t220)) % 164.61/164.91 (define @t222 () (or @t221 @t219 (= @t217 @t206))) % 164.61/164.91 (define @t223 () (@list @t217 @t206)) % 164.61/164.91 (define @t224 () (= @t206 @t217)) % 164.61/164.91 (define @t225 () (or @t221 @t219 @t224)) % 164.61/164.91 (define @t226 () (= tptp.zero (tptp.divide @t217 @t206))) % 164.61/164.91 (define @t227 () (or @t221 @t226)) % 164.61/164.91 (define @t228 () (tptp.less_equal @t193 @t184)) % 164.61/164.91 (define @t229 () (= @t184 @t193)) % 164.61/164.91 (define @t230 () (not @t228)) % 164.61/164.91 (define @t231 () (or @t197 @t230 @t229)) % 164.61/164.91 (define @t232 () (tptp.less_equal @t182 @t183)) % 164.61/164.91 (define @t233 () (= tptp.zero @t184)) % 164.61/164.91 (define @t234 () (not @t233)) % 164.61/164.91 (define @t235 () (or @t234 @t232)) % 164.61/164.91 (define @t236 () (tptp.divide @t217 @t181)) % 164.61/164.91 (define @t237 () (= tptp.zero @t236)) % 164.61/164.91 (define @t238 () (tptp.less_equal @t217 @t181)) % 164.61/164.91 (define @t239 () (not @t238)) % 164.61/164.91 (define @t240 () (or @t239 @t237)) % 164.61/164.91 (define @t241 () (= tptp.zero (tptp.divide tptp.c @t163))) % 164.61/164.91 (define @t242 () (not @t241)) % 164.61/164.91 (define @t243 () (or @t242 @t164)) % 164.61/164.91 (define @t244 () (@list @t138 tptp.b)) % 164.61/164.91 (define @t245 () (= tptp.zero (tptp.divide @t138 tptp.b))) % 164.61/164.91 (define @t246 () (tptp.less_equal @t138 tptp.b)) % 164.61/164.91 (define @t247 () (not @t246)) % 164.61/164.91 (define @t248 () (or @t247 @t245)) % 164.61/164.91 (define @t249 () (tptp.less_equal tptp.zero @t138)) % 164.61/164.91 (define @t250 () (tptp.divide tptp.zero @t138)) % 164.61/164.91 (define @t251 () (= tptp.zero @t250)) % 164.61/164.91 (define @t252 () (not @t249)) % 164.61/164.91 (define @t253 () (or @t252 @t251)) % 164.61/164.91 (define @t254 () (tptp.divide tptp.a @t43)) % 164.61/164.91 (define @t255 () (tptp.divide @t254 tptp.b)) % 164.61/164.91 (define @t256 () (tptp.divide tptp.c @t255)) % 164.61/164.91 (define @t257 () (tptp.divide tptp.a @t20)) % 164.61/164.91 (define @t258 () (tptp.divide @t175 @t257)) % 164.61/164.91 (define @t259 () (tptp.less_equal @t21 @t258)) % 164.61/164.91 (define @t260 () (not @t259)) % 164.61/164.91 (define @t261 () (tptp.less_equal @t258 @t21)) % 164.61/164.91 (define @t262 () (not @t261)) % 164.61/164.91 (define @t263 () (or @t262 @t260 (= @t258 @t21))) % 164.61/164.91 (define @t264 () (= @t21 @t258)) % 164.61/164.91 (define @t265 () (or @t262 @t260 @t264)) % 164.61/164.91 (define @t266 () (tptp.divide @t17 tptp.b)) % 164.61/164.91 (define @t267 () (tptp.less_equal tptp.b @t138)) % 164.61/164.91 (define @t268 () (not @t267)) % 164.61/164.91 (define @t269 () (or @t247 @t268 (= @t138 tptp.b))) % 164.61/164.91 (define @t270 () (= tptp.b @t138)) % 164.61/164.91 (define @t271 () (or @t247 @t268 @t270)) % 164.61/164.91 (define @t272 () (@list tptp.b @t138)) % 164.61/164.91 (define @t273 () (tptp.divide tptp.b @t138)) % 164.61/164.91 (define @t274 () (tptp.divide @t273 tptp.b)) % 164.61/164.91 (define @t275 () (tptp.less_equal @t273 @t274)) % 164.61/164.91 (define @t276 () (not @t275)) % 164.61/164.91 (define @t277 () (tptp.less_equal @t274 @t273)) % 164.61/164.91 (define @t278 () (not @t277)) % 164.61/164.91 (define @t279 () (or @t278 @t276 (= @t274 @t273))) % 164.61/164.91 (define @t280 () (= @t273 @t274)) % 164.61/164.91 (define @t281 () (or @t278 @t276 @t280)) % 164.61/164.91 (define @t282 () (tptp.divide tptp.b @t56)) % 164.61/164.91 (define @t283 () (tptp.divide tptp.zero @t282)) % 164.61/164.91 (define @t284 () (tptp.divide tptp.b @t282)) % 164.61/164.91 (define @t285 () (tptp.divide @t138 @t282)) % 164.61/164.91 (define @t286 () (tptp.divide @t284 @t283)) % 164.61/164.91 (define @t287 () (@list @t286 @t285)) % 164.61/164.91 (define @t288 () (= tptp.zero (tptp.divide @t286 @t285))) % 164.61/164.91 (define @t289 () (tptp.less_equal @t286 @t285)) % 164.61/164.91 (define @t290 () (not @t289)) % 164.61/164.91 (define @t291 () (or @t290 @t288)) % 164.61/164.91 (define @t292 () (tptp.divide tptp.b tptp.a)) % 164.61/164.91 (define @t293 () (tptp.divide @t292 tptp.b)) % 164.61/164.91 (define @t294 () (= tptp.zero @t293)) % 164.61/164.91 (define @t295 () (tptp.less_equal @t292 tptp.b)) % 164.61/164.91 (define @t296 () (not @t295)) % 164.61/164.91 (define @t297 () (or @t296 @t294)) % 164.61/164.91 (define @t298 () (tptp.divide (tptp.divide tptp.b tptp.b) @t56)) % 164.61/164.91 (define @t299 () (tptp.less_equal @t293 @t298)) % 164.61/164.91 (define @t300 () (not @t299)) % 164.61/164.91 (define @t301 () (tptp.less_equal @t298 @t293)) % 164.61/164.91 (define @t302 () (not @t301)) % 164.61/164.91 (define @t303 () (or @t302 @t300 (= @t298 @t293))) % 164.61/164.91 (define @t304 () (@list @t298 @t293)) % 164.61/164.91 (define @t305 () (= @t293 @t298)) % 164.61/164.91 (define @t306 () (or @t302 @t300 @t305)) % 164.61/164.91 (define @t307 () (= tptp.zero (tptp.divide @t298 @t293))) % 164.61/164.91 (define @t308 () (or @t302 @t307)) % 164.61/164.91 (define @t309 () (tptp.divide @t282 @t282)) % 164.61/164.91 (define @t310 () (tptp.less_equal @t298 @t309)) % 164.61/164.91 (define @t311 () (not @t310)) % 164.61/164.91 (define @t312 () (tptp.less_equal @t309 @t298)) % 164.61/164.91 (define @t313 () (not @t312)) % 164.61/164.91 (define @t314 () (or @t313 @t311 (= @t309 @t298))) % 164.61/164.91 (define @t315 () (@list @t309 @t298)) % 164.61/164.91 (define @t316 () (= @t298 @t309)) % 164.61/164.91 (define @t317 () (or @t313 @t311 @t316)) % 164.61/164.91 (define @t318 () (tptp.divide @t67 @t138)) % 164.61/164.91 (define @t319 () (tptp.divide @t138 @t138)) % 164.61/164.91 (define @t320 () (tptp.divide @t309 @t298)) % 164.61/164.91 (define @t321 () (= tptp.zero @t320)) % 164.61/164.91 (define @t322 () (or @t313 @t321)) % 164.61/164.91 (define @t323 () (tptp.less_equal @t285 @t286)) % 164.61/164.91 (define @t324 () (= @t286 @t285)) % 164.61/164.91 (define @t325 () (not @t323)) % 164.61/164.91 (define @t326 () (or @t290 @t325 @t324)) % 164.61/164.91 (define @t327 () (tptp.less_equal @t284 @t283)) % 164.61/164.91 (define @t328 () (= tptp.zero @t286)) % 164.61/164.91 (define @t329 () (not @t328)) % 164.61/164.91 (define @t330 () (or @t329 @t327)) % 164.61/164.91 (define @t331 () (@list @t273 tptp.b)) % 164.61/164.91 (define @t332 () (= tptp.zero @t274)) % 164.61/164.91 (define @t333 () (tptp.less_equal @t273 tptp.b)) % 164.61/164.91 (define @t334 () (not @t333)) % 164.61/164.91 (define @t335 () (or @t334 @t332)) % 164.61/164.91 (define @t336 () (= tptp.zero @t273)) % 164.61/164.91 (define @t337 () (not @t336)) % 164.61/164.91 (define @t338 () (or @t337 @t267)) % 164.61/164.91 (define @t339 () (tptp.divide @t18 tptp.c)) % 164.61/164.91 (define @t340 () (= tptp.zero @t339)) % 164.61/164.91 (define @t341 () (tptp.less_equal @t18 tptp.c)) % 164.61/164.91 (define @t342 () (not @t341)) % 164.61/164.91 (define @t343 () (or @t342 @t340)) % 164.61/164.91 (define @t344 () (tptp.divide tptp.b @t339)) % 164.61/164.91 (define @t345 () (tptp.divide tptp.c @t339)) % 164.61/164.91 (define @t346 () (tptp.divide @t345 @t344)) % 164.61/164.91 (define @t347 () (tptp.divide @t18 @t339)) % 164.61/164.91 (define @t348 () (tptp.less_equal @t347 @t346)) % 164.61/164.91 (define @t349 () (not @t348)) % 164.61/164.91 (define @t350 () (tptp.less_equal @t346 @t347)) % 164.61/164.91 (define @t351 () (not @t350)) % 164.61/164.91 (define @t352 () (or @t351 @t349 (= @t346 @t347))) % 164.61/164.91 (define @t353 () (= @t347 @t346)) % 164.61/164.91 (define @t354 () (or @t351 @t349 @t353)) % 164.61/164.91 (define @t355 () (tptp.divide tptp.b tptp.c)) % 164.61/164.91 (define @t356 () (tptp.divide @t205 @t355)) % 164.61/164.91 (define @t357 () (tptp.less_equal @t339 @t356)) % 164.61/164.91 (define @t358 () (not @t357)) % 164.61/164.91 (define @t359 () (tptp.less_equal @t356 @t339)) % 164.61/164.91 (define @t360 () (not @t359)) % 164.61/164.91 (define @t361 () (or @t360 @t358 (= @t356 @t339))) % 164.61/164.91 (define @t362 () (@list @t356 @t339)) % 164.61/164.91 (define @t363 () (= @t339 @t356)) % 164.61/164.91 (define @t364 () (or @t360 @t358 @t363)) % 164.61/164.91 (define @t365 () (= tptp.zero (tptp.divide @t356 @t339))) % 164.61/164.91 (define @t366 () (or @t360 @t365)) % 164.61/164.91 (define @t367 () (tptp.less_equal @t205 @t356)) % 164.61/164.91 (define @t368 () (not @t367)) % 164.61/164.91 (define @t369 () (tptp.less_equal @t356 @t205)) % 164.61/164.91 (define @t370 () (not @t369)) % 164.61/164.91 (define @t371 () (or @t370 @t368 (= @t356 @t205))) % 164.61/164.91 (define @t372 () (= @t205 @t356)) % 164.61/164.91 (define @t373 () (or @t370 @t368 @t372)) % 164.61/164.91 (define @t374 () (= tptp.zero (tptp.divide @t205 @t356))) % 164.61/164.91 (define @t375 () (not @t374)) % 164.61/164.91 (define @t376 () (or @t375 @t367)) % 164.61/164.91 (define @t377 () (tptp.divide tptp.c @t205)) % 164.61/164.91 (define @t378 () (tptp.divide @t18 @t17)) % 164.61/164.91 (define @t379 () (@list @t378 @t18)) % 164.61/164.91 (define @t380 () (@list @t18 @t17)) % 164.61/164.91 (define @t381 () (tptp.divide @t378 @t18)) % 164.61/164.91 (define @t382 () (= tptp.zero @t381)) % 164.61/164.91 (define @t383 () (tptp.less_equal @t378 @t18)) % 164.61/164.91 (define @t384 () (not @t383)) % 164.61/164.91 (define @t385 () (or @t384 @t382)) % 164.61/164.91 (define @t386 () (tptp.divide @t18 @t381)) % 164.61/164.91 (define @t387 () (tptp.divide @t18 @t56)) % 164.61/164.91 (define @t388 () (tptp.divide @t387 @t266)) % 164.61/164.91 (define @t389 () (= tptp.zero @t388)) % 164.61/164.91 (define @t390 () (tptp.less_equal @t387 @t266)) % 164.61/164.91 (define @t391 () (not @t390)) % 164.61/164.91 (define @t392 () (or @t391 @t389)) % 164.61/164.91 (define @t393 () (= tptp.zero (tptp.divide tptp.zero tptp.identity))) % 164.61/164.91 (define @t394 () (tptp.less_equal tptp.zero tptp.identity)) % 164.61/164.91 (define @t395 () (not @t394)) % 164.61/164.91 (define @t396 () (or @t395 @t393)) % 164.61/164.91 (define @t397 () (tptp.divide @t176 tptp.identity)) % 164.61/164.91 (define @t398 () (tptp.divide (tptp.divide @t17 tptp.identity) @t20)) % 164.61/164.91 (define @t399 () (@list @t398 @t397)) % 164.61/164.91 (define @t400 () (= tptp.zero (tptp.divide @t398 @t397))) % 164.61/164.91 (define @t401 () (tptp.less_equal @t398 @t397)) % 164.61/164.91 (define @t402 () (not @t401)) % 164.61/164.91 (define @t403 () (or @t402 @t400)) % 164.61/164.91 (define @t404 () (tptp.less_equal @t397 @t398)) % 164.61/164.91 (define @t405 () (= @t398 @t397)) % 164.61/164.91 (define @t406 () (not @t404)) % 164.61/164.91 (define @t407 () (or @t402 @t406 @t405)) % 164.61/164.91 (define @t408 () (tptp.divide tptp.identity @t20)) % 164.61/164.91 (define @t409 () (tptp.divide @t21 @t408)) % 164.61/164.91 (define @t410 () (tptp.less_equal @t398 @t409)) % 164.61/164.91 (define @t411 () (not @t410)) % 164.61/164.91 (define @t412 () (tptp.less_equal @t409 @t398)) % 164.61/164.91 (define @t413 () (not @t412)) % 164.61/164.91 (define @t414 () (or @t413 @t411 (= @t409 @t398))) % 164.61/164.91 (define @t415 () (@list @t409 @t398)) % 164.61/164.91 (define @t416 () (= @t398 @t409)) % 164.61/164.91 (define @t417 () (or @t413 @t411 @t416)) % 164.61/164.91 (define @t418 () (= tptp.zero (tptp.divide @t409 @t398))) % 164.61/164.91 (define @t419 () (or @t413 @t418)) % 164.61/164.91 (define @t420 () (tptp.divide @t409 @t21)) % 164.61/164.91 (define @t421 () (= tptp.zero @t420)) % 164.61/164.91 (define @t422 () (tptp.less_equal @t409 @t21)) % 164.61/164.91 (define @t423 () (not @t422)) % 164.61/164.91 (define @t424 () (or @t423 @t421)) % 164.61/164.91 (define @t425 () (tptp.divide @t266 @t17)) % 164.61/164.91 (define @t426 () (= tptp.zero @t425)) % 164.61/164.91 (define @t427 () (tptp.less_equal @t266 @t17)) % 164.61/164.91 (define @t428 () (not @t427)) % 164.61/164.91 (define @t429 () (or @t428 @t426)) % 164.61/164.91 (define @t430 () (tptp.divide @t378 @t381)) % 164.61/164.91 (define @t431 () (tptp.divide @t17 @t381)) % 164.61/164.91 (define @t432 () (tptp.divide @t386 @t431)) % 164.61/164.91 (define @t433 () (tptp.less_equal @t430 @t432)) % 164.61/164.91 (define @t434 () (not @t433)) % 164.61/164.91 (define @t435 () (tptp.less_equal @t432 @t430)) % 164.61/164.91 (define @t436 () (not @t435)) % 164.61/164.91 (define @t437 () (or @t436 @t434 (= @t432 @t430))) % 164.61/164.91 (define @t438 () (= @t430 @t432)) % 164.61/164.91 (define @t439 () (or @t436 @t434 @t438)) % 164.61/164.91 (define @t440 () (tptp.less_equal @t378 @t381)) % 164.61/164.91 (define @t441 () (not @t440)) % 164.61/164.91 (define @t442 () (tptp.less_equal @t381 @t378)) % 164.61/164.91 (define @t443 () (not @t442)) % 164.61/164.91 (define @t444 () (= @t381 @t378)) % 164.61/164.91 (define @t445 () (or @t443 @t441 @t444)) % 164.61/164.91 (define @t446 () (= @t378 @t381)) % 164.61/164.91 (define @t447 () (or @t443 @t441 @t446)) % 164.61/164.91 (define @t448 () (not (= tptp.zero @t378))) % 164.61/164.91 (define @t449 () (or @t448 @t19)) % 164.61/164.91 (assume @p1 @t9) % 164.61/164.91 (assume @p2 @t12) % 164.61/164.91 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 164.61/164.91 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 164.61/164.91 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 164.61/164.91 (assume @p6 @t15) % 164.61/164.91 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 164.61/164.91 (assume @p8 @t16) % 164.61/164.91 (assume @p9 (not @t19)) % 164.61/164.91 (step @p10 :rule evaluate :args ((= false true))) % 164.61/164.91 (step @p11 :rule instantiate :premises (@p4) :args ((@list @t18 @t17 (tptp.divide @t21 tptp.b)))) % 164.61/164.91 (step @p12 :rule true_intro :premises (@p11)) % 164.61/164.91 (step @p13 :rule eq-symm :args (@t22 tptp.a)) % 164.61/164.91 (step @p14 :rule refl :args (@t24)) % 164.61/164.91 (step @p15 :rule refl :args (@t26)) % 164.61/164.91 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t27)) % 164.61/164.91 (step @p17 :rule refl :args (@t15)) % 164.61/164.91 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t15 @t27))) % 164.61/164.91 (assume-push @p928 @t15) % 164.61/164.91 (step @p20 :rule instantiate :premises (@p6) :args (@t28)) % 164.61/164.91 (step-pop @p929 :rule scope :premises (@p20)) % 164.61/164.91 (step @p21 :rule process_scope :premises (@p929) :args (@t27)) % 164.61/164.91 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 164.61/164.91 (step @p24 :rule implies_elim :premises (@p23)) % 164.61/164.91 (step @p25 :rule chain_m_resolution :premises (@p24 @p6) :args (@t30 @t31 @t32)) % 164.61/164.91 (step @p26 :rule refl :args (@t5)) % 164.61/164.91 (step @p27 :rule eq-symm :args (@t3 tptp.zero)) % 164.61/164.91 (step @p28 :rule cong :premises (@p27) :args (@t10)) % 164.61/164.91 (step @p29 :rule nary_cong :premises (@p28 @p26) :args (@t11)) % 164.61/164.91 (step @p30 :rule cong :premises (@p29) :args (@t12)) % 164.61/164.91 (step @p31 :rule eq_resolve :premises (@p2 @p30)) % 164.61/164.91 (step @p32 :rule instantiate :premises (@p31) :args (@t33)) % 164.61/164.91 (step @p33 :rule eq-symm :args (@t35 @t34)) % 164.61/164.91 (step @p34 :rule refl :args (@t37)) % 164.61/164.91 (step @p35 :rule refl :args (@t39)) % 164.61/164.91 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args (@t40)) % 164.61/164.91 (step @p37 :rule cong :premises (@p17 @p36) :args ((=> @t15 @t40))) % 164.61/164.91 (assume-push @p930 @t15) % 164.61/164.91 (step @p39 :rule instantiate :premises (@p6) :args ((@list @t35 @t34))) % 164.61/164.91 (step-pop @p931 :rule scope :premises (@p39)) % 164.61/164.91 (step @p40 :rule process_scope :premises (@p931) :args (@t40)) % 164.61/164.91 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 164.61/164.91 (step @p43 :rule implies_elim :premises (@p42)) % 164.61/164.91 (step @p44 :rule chain_m_resolution :premises (@p43 @p6) :args (@t42 @t31 @t32)) % 164.61/164.91 (step @p45 :rule instantiate :premises (@p31) :args ((@list @t47 @t46))) % 164.61/164.91 (step @p46 :rule instantiate :premises (@p6) :args (@t50)) % 164.61/164.91 (step @p47 :rule instantiate :premises (@p3) :args (@t50)) % 164.61/164.91 (step @p48 :rule true_intro :premises (@p47)) % 164.61/164.91 (step @p49 :rule refl :args (@t49)) % 164.61/164.91 (step @p50 :rule refl :args (@t6)) % 164.61/164.91 (step @p51 :rule nary_cong :premises (@p50 @p27) :args (@t7)) % 164.61/164.91 (step @p52 :rule cong :premises (@p51) :args (@t9)) % 164.61/164.91 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 164.61/164.91 (step @p54 :rule instantiate :premises (@p53) :args (@t50)) % 164.61/164.91 (step @p55 :rule instantiate :premises (@p4) :args ((@list tptp.a @t45 tptp.zero))) % 164.61/164.91 (step @p56 :rule cnf_or_pos :args (@t54)) % 164.61/164.91 (step @p57 :rule reordering :premises (@p56) :args ((or @t53 @t51 (not @t54)))) % 164.61/164.91 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p54) :args (@t51 @t55 (@list @t52 @t54))) % 164.61/164.91 (step @p59 :rule instantiate :premises (@p53) :args ((@list @t57 @t44))) % 164.61/164.91 (step @p60 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.b tptp.a))) % 164.61/164.91 (step @p61 :rule cnf_or_pos :args (@t62)) % 164.61/164.91 (step @p62 :rule reordering :premises (@p61) :args ((or @t61 @t59 (not @t62)))) % 164.61/164.91 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p59) :args (@t59 @t55 (@list @t60 @t62))) % 164.61/164.91 (step @p64 :rule symm :premises (@p63)) % 164.61/164.91 (step @p65 :rule refl :args (@t44)) % 164.61/164.91 (step @p66 :rule instantiate :premises (@p53) :args ((@list tptp.a tptp.b))) % 164.61/164.91 (step @p67 :rule cnf_or_pos :args (@t65)) % 164.61/164.91 (step @p68 :rule reordering :premises (@p67) :args ((or @t64 @t63 (not @t65)))) % 164.61/164.91 (step @p69 :rule chain_m_resolution :premises (@p68 @p8 @p66) :args (@t63 @t55 (@list @t16 @t65))) % 164.61/164.91 (step @p70 :rule instantiate :premises (@p53) :args ((@list tptp.zero tptp.zero))) % 164.61/164.91 (step @p71 :rule instantiate :premises (@p5) :args (@t66)) % 164.61/164.91 (step @p72 :rule cnf_or_pos :args (@t71)) % 164.61/164.91 (step @p73 :rule reordering :premises (@p72) :args ((or @t70 @t68 (not @t71)))) % 164.61/164.91 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p70) :args (@t68 @t55 (@list @t69 @t71))) % 164.61/164.91 (step @p75 :rule symm :premises (@p74)) % 164.61/164.91 (step @p76 :rule trans :premises (@p75 @p69)) % 164.61/164.91 (step @p77 :rule cong :premises (@p76 @p69) :args (@t72)) % 164.61/164.91 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164.61/164.91 (step @p746 :rule trans :premises (@p745 @p721 @p668 @p294)) % 164.61/164.91 (step @p747 :rule cong :premises (@p274 @p746) :args (@t377)) % 164.61/164.91 (step @p748 :rule cong :premises (@p747 @p184) :args ((tptp.divide @t377 tptp.b))) % 164.61/164.91 (step @p749 :rule symm :premises (@p747)) % 164.61/164.91 (step @p750 :rule trans :premises (@p304 @p749)) % 164.61/164.91 (step @p751 :rule cong :premises (@p750 @p184) :args ((tptp.divide @t181 tptp.b))) % 164.61/164.91 (step @p752 :rule trans :premises (@p677 @p393)) % 164.61/164.91 (step @p753 :rule cong :premises (@p752 @p670) :args (@t346)) % 164.61/164.91 (step @p754 :rule trans :premises (@p753 @p751 @p748)) % 164.61/164.91 (step @p755 :rule cong :premises (@p294 @p184) :args (@t122)) % 164.61/164.91 (step @p756 :rule trans :premises (@p668 @p191 @p755)) % 164.61/164.91 (step @p757 :rule cong :premises (@p508 @p756) :args (@t347)) % 164.61/164.91 (step @p758 :rule cong :premises (@p757 @p754) :args (@t348)) % 164.61/164.91 (step @p759 :rule trans :premises (@p758 @p693)) % 164.61/164.91 (step @p760 :rule true_elim :premises (@p759)) % 164.61/164.91 (step @p761 :rule instantiate :premises (@p4) :args ((@list tptp.c @t339 tptp.b))) % 164.61/164.91 (step @p762 :rule cnf_or_pos :args (@t354)) % 164.61/164.91 (step @p763 :rule reordering :premises (@p762) :args ((or @t351 @t349 @t353 (not @t354)))) % 164.61/164.91 (step @p764 :rule chain_m_resolution :premises (@p763 @p761 @p760 @p691) :args (@t353 @t101 (@list @t350 @t348 @t354))) % 164.61/164.91 (step @p765 :rule instantiate :premises (@p53) :args (@t379)) % 164.61/164.91 (step @p766 :rule instantiate :premises (@p3) :args (@t380)) % 164.61/164.91 (step @p767 :rule cnf_or_pos :args (@t385)) % 164.61/164.91 (step @p768 :rule reordering :premises (@p767) :args ((or @t384 @t382 (not @t385)))) % 164.61/164.91 (step @p769 :rule chain_m_resolution :premises (@p768 @p766 @p765) :args (@t382 @t55 (@list @t383 @t385))) % 164.61/164.91 (step @p770 :rule symm :premises (@p769)) % 164.61/164.91 (step @p771 :rule trans :premises (@p770 @p667)) % 164.61/164.91 (step @p772 :rule cong :premises (@p508 @p771) :args (@t386)) % 164.61/164.91 (step @p773 :rule trans :premises (@p772 @p764 @p679 @p674)) % 164.61/164.91 (step @p774 :rule symm :premises (@p772)) % 164.61/164.91 (step @p775 :rule trans :premises (@p774 @p773 @p673 @p671)) % 164.61/164.91 (step @p776 :rule cong :premises (@p775 @p510) :args ((tptp.divide @t347 @t266))) % 164.61/164.91 (step @p777 :rule trans :premises (@p214 @p667)) % 164.61/164.91 (step @p778 :rule cong :premises (@p508 @p777) :args (@t387)) % 164.61/164.91 (step @p779 :rule cong :premises (@p778 @p510) :args (@t388)) % 164.61/164.91 (step @p780 :rule instantiate :premises (@p53) :args ((@list @t387 @t266))) % 164.61/164.91 (step @p781 :rule instantiate :premises (@p4) :args ((@list tptp.c tptp.b tptp.a))) % 164.61/164.91 (step @p782 :rule cnf_or_pos :args (@t392)) % 164.61/164.91 (step @p783 :rule reordering :premises (@p782) :args ((or @t391 @t389 (not @t392)))) % 164.61/164.91 (step @p784 :rule chain_m_resolution :premises (@p783 @p781 @p780) :args (@t389 @t55 (@list @t390 @t392))) % 164.61/164.91 (step @p785 :rule trans :premises (@p784 @p779 @p776 @p509)) % 164.61/164.91 (step @p786 :rule instantiate :premises (@p53) :args ((@list tptp.zero tptp.identity))) % 164.61/164.91 (step @p787 :rule instantiate :premises (@p7) :args (@t66)) % 164.61/164.91 (step @p788 :rule cnf_or_pos :args (@t396)) % 164.61/164.91 (step @p789 :rule reordering :premises (@p788) :args ((or @t395 @t393 (not @t396)))) % 164.61/164.91 (step @p790 :rule chain_m_resolution :premises (@p789 @p787 @p786) :args (@t393 @t55 (@list @t394 @t396))) % 164.61/164.91 (step @p791 :rule symm :premises (@p790)) % 164.61/164.91 (step @p792 :rule refl :args (tptp.identity)) % 164.61/164.91 (step @p793 :rule cong :premises (@p302 @p792) :args (@t397)) % 164.61/164.91 (step @p794 :rule instantiate :premises (@p6) :args (@t399)) % 164.61/164.91 (step @p795 :rule instantiate :premises (@p3) :args (@t399)) % 164.61/164.91 (step @p796 :rule true_intro :premises (@p795)) % 164.61/164.91 (step @p797 :rule refl :args (@t398)) % 164.61/164.91 (step @p798 :rule instantiate :premises (@p53) :args (@t399)) % 164.61/164.91 (step @p799 :rule instantiate :premises (@p4) :args ((@list @t17 tptp.identity tptp.c))) % 164.61/164.91 (step @p800 :rule cnf_or_pos :args (@t403)) % 164.61/164.91 (step @p801 :rule reordering :premises (@p800) :args ((or @t402 @t400 (not @t403)))) % 164.61/164.91 (step @p802 :rule chain_m_resolution :premises (@p801 @p799 @p798) :args (@t400 @t55 (@list @t401 @t403))) % 164.61/164.91 (step @p803 :rule trans :premises (@p793 @p791)) % 164.61/164.91 (step @p804 :rule trans :premises (@p803 @p802)) % 164.61/164.91 (step @p805 :rule cong :premises (@p804 @p797) :args (@t404)) % 164.61/164.91 (step @p806 :rule trans :premises (@p805 @p796)) % 164.61/164.91 (step @p807 :rule true_elim :premises (@p806)) % 164.61/164.91 (step @p808 :rule cnf_or_pos :args (@t407)) % 164.61/164.91 (step @p809 :rule reordering :premises (@p808) :args ((or @t402 @t406 @t405 (not @t407)))) % 164.61/164.91 (step @p810 :rule chain_m_resolution :premises (@p809 @p799 @p807 @p794) :args (@t405 @t101 (@list @t401 @t404 @t407))) % 164.61/164.91 (step @p811 :rule eq-symm :args (@t409 @t398)) % 164.61/164.91 (step @p812 :rule refl :args (@t411)) % 164.61/164.91 (step @p813 :rule refl :args (@t413)) % 164.61/164.91 (step @p814 :rule nary_cong :premises (@p813 @p812 @p811) :args (@t414)) % 164.61/164.91 (step @p815 :rule cong :premises (@p17 @p814) :args ((=> @t15 @t414))) % 164.61/164.91 (assume-push @p962 @t15) % 164.61/164.91 (step @p817 :rule instantiate :premises (@p6) :args (@t415)) % 164.61/164.91 (step-pop @p963 :rule scope :premises (@p817)) % 164.61/164.91 (step @p818 :rule process_scope :premises (@p963) :args (@t414)) % 164.61/164.91 (step @p820 :rule eq_resolve :premises (@p818 @p815)) % 164.61/164.91 (step @p821 :rule implies_elim :premises (@p820)) % 164.61/164.91 (step @p822 :rule chain_m_resolution :premises (@p821 @p6) :args (@t417 @t31 @t32)) % 164.61/164.91 (step @p823 :rule instantiate :premises (@p3) :args (@t415)) % 164.61/164.91 (step @p824 :rule true_intro :premises (@p823)) % 164.61/164.91 (step @p825 :rule refl :args (@t409)) % 164.61/164.91 (step @p826 :rule instantiate :premises (@p53) :args (@t415)) % 164.61/164.91 (step @p827 :rule instantiate :premises (@p4) :args ((@list @t17 @t20 tptp.identity))) % 164.61/164.91 (step @p828 :rule cnf_or_pos :args (@t419)) % 164.61/164.91 (step @p829 :rule reordering :premises (@p828) :args ((or @t413 @t418 (not @t419)))) % 164.61/164.91 (step @p830 :rule chain_m_resolution :premises (@p829 @p827 @p826) :args (@t418 @t55 (@list @t412 @t419))) % 164.61/164.91 (step @p831 :rule trans :premises (@p810 @p793 @p791)) % 164.61/164.91 (step @p832 :rule trans :premises (@p831 @p830)) % 164.61/164.91 (step @p833 :rule cong :premises (@p832 @p825) :args (@t410)) % 164.61/164.91 (step @p834 :rule trans :premises (@p833 @p824)) % 164.61/164.91 (step @p835 :rule true_elim :premises (@p834)) % 164.61/164.91 (step @p836 :rule cnf_or_pos :args (@t417)) % 164.61/164.91 (step @p837 :rule reordering :premises (@p836) :args ((or @t413 @t411 @t416 (not @t417)))) % 164.61/164.91 (step @p838 :rule chain_m_resolution :premises (@p837 @p827 @p835 @p822) :args (@t416 @t101 (@list @t412 @t410 @t417))) % 164.61/164.91 (step @p839 :rule symm :premises (@p838)) % 164.61/164.91 (step @p840 :rule trans :premises (@p839 @p810 @p793 @p791)) % 164.61/164.91 (step @p841 :rule trans :premises (@p840 @p785)) % 164.61/164.91 (step @p842 :rule cong :premises (@p841 @p496) :args (@t420)) % 164.61/164.91 (step @p843 :rule instantiate :premises (@p53) :args ((@list @t409 @t21))) % 164.61/164.91 (step @p844 :rule instantiate :premises (@p3) :args ((@list @t21 @t408))) % 164.61/164.91 (step @p845 :rule cnf_or_pos :args (@t424)) % 164.61/164.91 (step @p846 :rule reordering :premises (@p845) :args ((or @t423 @t421 (not @t424)))) % 164.61/164.91 (step @p847 :rule chain_m_resolution :premises (@p846 @p844 @p843) :args (@t421 @t55 (@list @t422 @t424))) % 164.61/164.91 (step @p848 :rule trans :premises (@p770 @p847 @p842)) % 164.61/164.91 (step @p849 :rule cong :premises (@p507 @p487) :args (@t425)) % 164.61/164.91 (step @p850 :rule instantiate :premises (@p53) :args ((@list @t266 @t17))) % 164.61/164.91 (step @p851 :rule instantiate :premises (@p3) :args ((@list @t17 tptp.b))) % 164.61/164.91 (step @p852 :rule cnf_or_pos :args (@t429)) % 164.61/164.91 (step @p853 :rule reordering :premises (@p852) :args ((or @t428 @t426 (not @t429)))) % 164.61/164.91 (step @p854 :rule chain_m_resolution :premises (@p853 @p851 @p850) :args (@t426 @t55 (@list @t427 @t429))) % 164.61/164.91 (step @p855 :rule trans :premises (@p770 @p854 @p849)) % 164.61/164.91 (step @p856 :rule refl :args (@t378)) % 164.61/164.91 (step @p857 :rule cong :premises (@p856 @p855) :args (@t430)) % 164.61/164.91 (step @p858 :rule eq-symm :args (@t432 @t430)) % 164.61/164.91 (step @p859 :rule refl :args (@t434)) % 164.61/164.91 (step @p860 :rule refl :args (@t436)) % 164.61/164.91 (step @p861 :rule nary_cong :premises (@p860 @p859 @p858) :args (@t437)) % 164.61/164.91 (step @p862 :rule cong :premises (@p17 @p861) :args ((=> @t15 @t437))) % 164.61/164.91 (assume-push @p964 @t15) % 164.61/164.91 (step @p864 :rule instantiate :premises (@p6) :args ((@list @t432 @t430))) % 164.61/164.91 (step-pop @p965 :rule scope :premises (@p864)) % 164.61/164.91 (step @p865 :rule process_scope :premises (@p965) :args (@t437)) % 164.61/164.91 (step @p867 :rule eq_resolve :premises (@p865 @p862)) % 164.61/164.91 (step @p868 :rule implies_elim :premises (@p867)) % 164.61/164.91 (step @p869 :rule chain_m_resolution :premises (@p868 @p6) :args (@t439 @t31 @t32)) % 164.61/164.91 (step @p870 :rule instantiate :premises (@p3) :args ((@list @t378 @t381))) % 164.61/164.91 (step @p871 :rule true_intro :premises (@p870)) % 164.61/164.91 (step @p872 :rule cong :premises (@p508 @p496) :args ((tptp.divide @t18 @t21))) % 164.61/164.91 (step @p873 :rule symm :premises (@p496)) % 164.61/164.91 (step @p874 :rule cong :premises (@p775 @p873) :args ((tptp.divide @t347 @t17))) % 164.61/164.91 (step @p875 :rule trans :premises (@p770 @p294)) % 164.61/164.91 (step @p876 :rule cong :premises (@p487 @p875) :args (@t431)) % 164.61/164.91 (step @p877 :rule trans :premises (@p876 @p495 @p467 @p464 @p275)) % 164.61/164.91 (step @p878 :rule cong :premises (@p772 @p877) :args (@t432)) % 164.61/164.91 (step @p879 :rule trans :premises (@p878 @p874 @p872)) % 164.61/164.91 (step @p880 :rule refl :args (@t430)) % 164.61/164.91 (step @p881 :rule cong :premises (@p880 @p879) :args (@t433)) % 164.61/164.91 (step @p882 :rule trans :premises (@p881 @p871)) % 164.61/164.91 (step @p883 :rule true_elim :premises (@p882)) % 164.61/164.91 (step @p884 :rule instantiate :premises (@p4) :args ((@list @t18 @t381 @t17))) % 164.61/164.91 (step @p885 :rule cnf_or_pos :args (@t439)) % 164.61/164.91 (step @p886 :rule reordering :premises (@p885) :args ((or @t436 @t434 @t438 (not @t439)))) % 164.61/164.91 (step @p887 :rule chain_m_resolution :premises (@p886 @p884 @p883 @p869) :args (@t438 @t101 (@list @t435 @t433 @t439))) % 164.61/164.91 (step @p888 :rule symm :premises (@p887)) % 164.61/164.91 (step @p889 :rule trans :premises (@p888 @p857)) % 164.61/164.91 (step @p890 :rule symm :premises (@p879)) % 164.61/164.91 (step @p891 :rule trans :premises (@p890 @p889)) % 164.61/164.91 (step @p892 :rule cong :premises (@p891 @p848) :args (@t440)) % 164.61/164.91 (step @p893 :rule eq-symm :args (@t381 @t378)) % 164.61/164.91 (step @p894 :rule refl :args (@t441)) % 164.61/164.91 (step @p895 :rule refl :args (@t443)) % 164.61/164.91 (step @p896 :rule nary_cong :premises (@p895 @p894 @p893) :args (@t445)) % 164.61/164.91 (step @p897 :rule cong :premises (@p17 @p896) :args ((=> @t15 @t445))) % 164.61/164.91 (assume-push @p966 @t15) % 164.61/164.91 (step @p899 :rule instantiate :premises (@p6) :args ((@list @t381 @t378))) % 164.61/164.91 (step-pop @p967 :rule scope :premises (@p899)) % 164.61/164.91 (step @p900 :rule process_scope :premises (@p967) :args (@t445)) % 164.61/164.91 (step @p902 :rule eq_resolve :premises (@p900 @p897)) % 164.61/164.91 (step @p903 :rule implies_elim :premises (@p902)) % 164.61/164.91 (step @p904 :rule chain_m_resolution :premises (@p903 @p6) :args (@t447 @t31 @t32)) % 164.61/164.91 (step @p905 :rule bool-eq-false :args (@t446)) % 164.61/164.91 (step @p906 :rule symm :premises (@p905)) % 164.61/164.91 (step @p907 :rule cong :premises (@p893) :args ((not @t444))) % 164.61/164.91 (step @p908 :rule bool-eq-false :args (@t444)) % 164.61/164.91 (step @p909 :rule trans :premises (@p908 @p907)) % 164.61/164.91 (step @p910 :rule trans :premises (@p909 @p906)) % 164.61/164.91 (step @p911 :rule instantiate :premises (@p31) :args (@t380)) % 164.61/164.91 (step @p912 :rule cnf_or_pos :args (@t449)) % 164.61/164.91 (step @p913 :rule reordering :premises (@p912) :args ((or @t19 @t448 (not @t449)))) % 164.61/164.91 (step @p914 :rule chain_m_resolution :premises (@p913 @p9 @p911) :args (@t448 (@list true false) (@list @t19 @t449))) % 164.61/164.91 (step @p915 :rule false_intro :premises (@p914)) % 164.61/164.91 (step @p916 :rule cong :premises (@p770 @p856) :args (@t444)) % 164.61/164.91 (step @p917 :rule trans :premises (@p916 @p915)) % 164.61/164.91 (step @p918 :rule eq_resolve :premises (@p917 @p910)) % 164.61/164.91 (step @p919 :rule false_elim :premises (@p918)) % 164.61/164.91 (step @p920 :rule instantiate :premises (@p3) :args (@t379)) % 164.61/164.91 (step @p921 :rule cnf_or_pos :args (@t447)) % 164.61/164.91 (step @p922 :rule reordering :premises (@p921) :args ((or @t443 @t441 @t446 (not @t447)))) % 164.61/164.91 (step @p923 :rule chain_m_resolution :premises (@p922 @p920 @p919 @p904) :args (@t441 (@list false true false) (@list @t442 @t446 @t447))) % 164.61/164.91 (step @p924 :rule false_intro :premises (@p923)) % 164.61/164.91 (step @p925 :rule symm :premises (@p924)) % 164.61/164.91 (step @p926 :rule trans :premises (@p925 @p892 @p12)) % 164.61/164.91 (step @p927 false :rule eq_resolve :premises (@p926 @p10)) % 164.61/164.91 ) % 164.61/164.91 % SZS output end Proof % 164.61/164.91 % cvc5 exiting %------------------------------------------------------------------------------