%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP353-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:20:34 AM UTC 2026 % Result : Unsatisfiable 17.33s 17.54s % Output : Proof 17.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP353-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n015.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 01:02:34 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.73/16.01 --- Run --no-e-matching --full-saturate-quant at 6... % 17.33/17.54 % SZS status Unsatisfiable % 17.33/17.54 % SZS output start Proof % 17.33/17.56 ( % 17.33/17.56 (declare-sort $$unsorted 0) % 17.33/17.56 (declare-const tptp.sk_c4 $$unsorted) % 17.33/17.56 (declare-const tptp.sk_c1 $$unsorted) % 17.33/17.56 (declare-const tptp.sk_c6 $$unsorted) % 17.33/17.56 (declare-const tptp.sk_c3 $$unsorted) % 17.33/17.56 (declare-const tptp.sk_c7 $$unsorted) % 17.33/17.56 (declare-const tptp.sk_c5 $$unsorted) % 17.33/17.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.33/17.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.56 (declare-const tptp.sk_c2 $$unsorted) % 17.33/17.56 (declare-const tptp.identity $$unsorted) % 17.33/17.56 (define @t1 () (@var "X" $$unsorted)) % 17.33/17.56 (define @t2 () (tptp.multiply tptp.identity @t1)) % 17.33/17.56 (define @t3 () (@list @t1)) % 17.33/17.56 (define @t4 () (forall @t3 (= @t2 @t1))) % 17.33/17.56 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 17.33/17.56 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 17.33/17.56 (define @t7 () (@var "Z" $$unsorted)) % 17.33/17.56 (define @t8 () (@var "Y" $$unsorted)) % 17.33/17.56 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 17.33/17.56 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 17.33/17.56 (define @t11 () (= @t10 tptp.sk_c5)) % 17.33/17.56 (define @t12 () (tptp.multiply tptp.sk_c6 tptp.sk_c5)) % 17.33/17.56 (define @t13 () (= @t12 tptp.sk_c7)) % 17.33/17.56 (define @t14 () (or @t13 @t11)) % 17.33/17.56 (define @t15 () (tptp.inverse tptp.sk_c2)) % 17.33/17.56 (define @t16 () (= @t15 tptp.sk_c7)) % 17.33/17.56 (define @t17 () (or @t13 @t16)) % 17.33/17.56 (define @t18 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 17.33/17.56 (define @t19 () (= @t18 tptp.sk_c7)) % 17.33/17.56 (define @t20 () (or @t13 @t19)) % 17.33/17.56 (define @t21 () (tptp.multiply tptp.sk_c3 tptp.sk_c4)) % 17.33/17.56 (define @t22 () (= @t21 tptp.sk_c6)) % 17.33/17.56 (define @t23 () (or @t13 @t22)) % 17.33/17.56 (define @t24 () (tptp.inverse tptp.sk_c3)) % 17.33/17.56 (define @t25 () (= @t24 tptp.sk_c4)) % 17.33/17.56 (define @t26 () (or @t13 @t25)) % 17.33/17.56 (define @t27 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 17.33/17.56 (define @t28 () (= @t27 tptp.sk_c6)) % 17.33/17.56 (define @t29 () (or @t13 @t28)) % 17.33/17.56 (define @t30 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 17.33/17.56 (define @t31 () (= @t30 tptp.sk_c6)) % 17.33/17.56 (define @t32 () (or @t31 @t11)) % 17.33/17.56 (define @t33 () (or @t31 @t16)) % 17.33/17.56 (define @t34 () (or @t31 @t19)) % 17.33/17.56 (define @t35 () (or @t31 @t22)) % 17.33/17.56 (define @t36 () (or @t31 @t25)) % 17.33/17.56 (define @t37 () (or @t31 @t28)) % 17.33/17.56 (define @t38 () (tptp.inverse tptp.sk_c1)) % 17.33/17.56 (define @t39 () (= @t38 tptp.sk_c7)) % 17.33/17.56 (define @t40 () (or @t39 @t11)) % 17.33/17.56 (define @t41 () (or @t39 @t16)) % 17.33/17.56 (define @t42 () (or @t39 @t19)) % 17.33/17.56 (define @t43 () (or @t39 @t22)) % 17.33/17.56 (define @t44 () (or @t39 @t25)) % 17.33/17.56 (define @t45 () (or @t39 @t28)) % 17.33/17.56 (define @t46 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 17.33/17.56 (define @t47 () (= @t46 tptp.sk_c6)) % 17.33/17.56 (define @t48 () (or @t47 @t16)) % 17.33/17.56 (define @t49 () (or @t47 @t19)) % 17.33/17.56 (define @t50 () (@var "X4" $$unsorted)) % 17.33/17.56 (define @t51 () (tptp.multiply @t50 tptp.sk_c7)) % 17.33/17.56 (define @t52 () (not (= @t51 tptp.sk_c6))) % 17.33/17.56 (define @t53 () (@var "X3" $$unsorted)) % 17.33/17.56 (define @t54 () (tptp.inverse @t53)) % 17.33/17.56 (define @t55 () (not (= @t54 @t50))) % 17.33/17.56 (define @t56 () (tptp.multiply @t53 @t50)) % 17.33/17.56 (define @t57 () (not (= @t56 tptp.sk_c6))) % 17.33/17.56 (define @t58 () (@var "X1" $$unsorted)) % 17.33/17.56 (define @t59 () (tptp.multiply @t58 tptp.sk_c6)) % 17.33/17.56 (define @t60 () (not (= @t59 tptp.sk_c7))) % 17.33/17.56 (define @t61 () (tptp.inverse @t58)) % 17.33/17.56 (define @t62 () (not (= @t61 tptp.sk_c7))) % 17.33/17.56 (define @t63 () (not @t11)) % 17.33/17.56 (define @t64 () (not @t47)) % 17.33/17.56 (define @t65 () (@var "X2" $$unsorted)) % 17.33/17.56 (define @t66 () (tptp.inverse @t65)) % 17.33/17.56 (define @t67 () (not (= @t66 tptp.sk_c7))) % 17.33/17.56 (define @t68 () (tptp.multiply @t65 tptp.sk_c7)) % 17.33/17.56 (define @t69 () (not (= @t68 tptp.sk_c6))) % 17.33/17.56 (define @t70 () (not @t13)) % 17.33/17.56 (define @t71 () (or @t70 @t69 @t67 @t64 @t63 @t62 @t60 @t57 @t55 @t52)) % 17.33/17.56 (define @t72 () (@list @t65 @t58 @t53 @t50)) % 17.33/17.56 (define @t73 () (forall @t72 @t71)) % 17.33/17.56 (define @t74 () (@list tptp.sk_c5)) % 17.33/17.56 (define @t75 () (@list tptp.sk_c7)) % 17.33/17.56 (define @t76 () (@list tptp.sk_c2)) % 17.33/17.56 (define @t77 () (@list tptp.sk_c3)) % 17.33/17.56 (define @t78 () (tptp.inverse tptp.sk_c5)) % 17.33/17.56 (define @t79 () (@list @t78)) % 17.33/17.56 (define @t80 () (tptp.inverse tptp.sk_c7)) % 17.33/17.56 (define @t81 () (tptp.multiply tptp.sk_c5 @t78)) % 17.33/17.56 (define @t82 () (tptp.inverse @t78)) % 17.33/17.56 (define @t83 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 17.33/17.56 (define @t84 () (tptp.multiply @t80 @t83)) % 17.33/17.56 (define @t85 () (tptp.multiply @t80 tptp.sk_c7)) % 17.33/17.56 (define @t86 () (tptp.multiply @t85 tptp.sk_c6)) % 17.33/17.56 (define @t87 () (= @t86 @t84)) % 17.33/17.56 (define @t88 () (@list @t38 tptp.sk_c1 tptp.sk_c7)) % 17.33/17.56 (define @t89 () (tptp.multiply @t38 @t30)) % 17.33/17.56 (define @t90 () (tptp.multiply @t38 tptp.sk_c1)) % 17.33/17.56 (define @t91 () (tptp.multiply @t90 tptp.sk_c7)) % 17.33/17.56 (define @t92 () (= @t91 @t89)) % 17.33/17.56 (define @t93 () (forall @t3 (= tptp.identity @t5))) % 17.33/17.56 (define @t94 () (@list tptp.sk_c1)) % 17.33/17.56 (define @t95 () (= tptp.identity @t90)) % 17.33/17.56 (define @t96 () (= tptp.identity @t85)) % 17.33/17.56 (define @t97 () (forall @t3 (= @t1 @t2))) % 17.33/17.56 (define @t98 () (tptp.multiply tptp.identity tptp.sk_c7)) % 17.33/17.56 (define @t99 () (= tptp.sk_c7 @t98)) % 17.33/17.56 (define @t100 () (tptp.multiply tptp.identity tptp.sk_c5)) % 17.33/17.56 (define @t101 () (= tptp.sk_c5 @t100)) % 17.33/17.56 (define @t102 () (tptp.multiply tptp.identity tptp.sk_c6)) % 17.33/17.56 (define @t103 () (= tptp.sk_c6 @t102)) % 17.33/17.56 (define @t104 () (tptp.multiply tptp.identity tptp.identity)) % 17.33/17.56 (define @t105 () (= tptp.identity @t104)) % 17.33/17.56 (define @t106 () (= tptp.sk_c7 @t12)) % 17.33/17.56 (define @t107 () (= tptp.sk_c6 @t30)) % 17.33/17.56 (define @t108 () (= tptp.sk_c7 @t38)) % 17.33/17.56 (define @t109 () (tptp.multiply @t104 tptp.sk_c6)) % 17.33/17.56 (define @t110 () (tptp.multiply tptp.identity @t102)) % 17.33/17.56 (define @t111 () (tptp.multiply tptp.identity @t98)) % 17.33/17.56 (define @t112 () (tptp.multiply @t104 tptp.sk_c7)) % 17.33/17.56 (define @t113 () (tptp.multiply tptp.sk_c6 @t100)) % 17.33/17.56 (define @t114 () (tptp.multiply tptp.identity @t100)) % 17.33/17.56 (define @t115 () (tptp.multiply @t104 tptp.sk_c5)) % 17.33/17.56 (define @t116 () (= tptp.sk_c5 @t10)) % 17.33/17.56 (define @t117 () (and @t106 @t107 @t108 @t105 @t103 @t101 @t99 @t96 @t95 @t92 @t87)) % 17.33/17.56 (define @t118 () (not @t87)) % 17.33/17.56 (define @t119 () (not @t92)) % 17.33/17.56 (define @t120 () (not @t95)) % 17.33/17.56 (define @t121 () (not @t96)) % 17.33/17.56 (define @t122 () (not @t99)) % 17.33/17.56 (define @t123 () (not @t101)) % 17.33/17.56 (define @t124 () (not @t103)) % 17.33/17.56 (define @t125 () (not @t105)) % 17.33/17.56 (define @t126 () (not @t108)) % 17.33/17.56 (define @t127 () (not @t107)) % 17.33/17.56 (define @t128 () (not @t106)) % 17.33/17.56 (define @t129 () (or @t127 @t126)) % 17.33/17.56 (define @t130 () (not (= tptp.sk_c7 @t66))) % 17.33/17.56 (define @t131 () (not (= tptp.sk_c6 @t68))) % 17.33/17.56 (define @t132 () (or @t131 @t130)) % 17.33/17.56 (define @t133 () (forall (@list @t65) @t132)) % 17.33/17.56 (define @t134 () (= tptp.sk_c6 @t46)) % 17.33/17.56 (define @t135 () (tptp.multiply @t78 tptp.sk_c5)) % 17.33/17.56 (define @t136 () (= tptp.identity @t135)) % 17.33/17.56 (define @t137 () (tptp.multiply tptp.identity tptp.sk_c1)) % 17.33/17.56 (define @t138 () (= tptp.sk_c1 @t137)) % 17.33/17.56 (define @t139 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 17.33/17.56 (define @t140 () (tptp.multiply @t100 tptp.sk_c6)) % 17.33/17.56 (define @t141 () (= @t140 (tptp.multiply tptp.identity @t139))) % 17.33/17.56 (define @t142 () (tptp.multiply tptp.sk_c6 @t139)) % 17.33/17.56 (define @t143 () (= (tptp.multiply @t12 tptp.sk_c6) @t142)) % 17.33/17.56 (define @t144 () (tptp.multiply tptp.sk_c5 tptp.sk_c5)) % 17.33/17.56 (define @t145 () (tptp.multiply @t78 @t144)) % 17.33/17.56 (define @t146 () (= (tptp.multiply @t135 tptp.sk_c5) @t145)) % 17.33/17.56 (define @t147 () (tptp.multiply @t135 tptp.sk_c1)) % 17.33/17.56 (define @t148 () (= @t147 (tptp.multiply @t78 (tptp.multiply tptp.sk_c5 tptp.sk_c1)))) % 17.33/17.56 (define @t149 () (tptp.multiply @t104 tptp.sk_c1)) % 17.33/17.56 (define @t150 () (tptp.multiply tptp.identity @t137)) % 17.33/17.56 (define @t151 () (tptp.multiply @t78 tptp.identity)) % 17.33/17.56 (define @t152 () (tptp.multiply @t100 tptp.sk_c5)) % 17.33/17.56 (define @t153 () (tptp.multiply @t100 tptp.identity)) % 17.33/17.56 (define @t154 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) % 17.33/17.56 (define @t155 () (and @t106 @t107 @t108 @t134 @t105 @t103 @t101 @t136 @t99 @t96 @t138 @t95 @t141 @t143 @t92 @t87 @t146 @t148)) % 17.33/17.56 (define @t156 () (not @t148)) % 17.33/17.56 (define @t157 () (not @t146)) % 17.33/17.56 (define @t158 () (not @t138)) % 17.33/17.56 (define @t159 () (not @t136)) % 17.33/17.56 (define @t160 () (not @t134)) % 17.33/17.56 (define @t161 () (not @t154)) % 17.33/17.56 (define @t162 () (or @t126 @t161)) % 17.33/17.56 (define @t163 () (not (= tptp.sk_c7 @t59))) % 17.33/17.56 (define @t164 () (not (= tptp.sk_c7 @t61))) % 17.33/17.56 (define @t165 () (or @t164 @t163)) % 17.33/17.56 (define @t166 () (forall (@list @t58) @t165)) % 17.33/17.56 (define @t167 () (not (= tptp.sk_c6 (tptp.multiply @t54 tptp.sk_c7)))) % 17.33/17.56 (define @t168 () (not (= tptp.sk_c6 (tptp.multiply @t53 @t54)))) % 17.33/17.56 (define @t169 () (or @t168 @t167)) % 17.33/17.56 (define @t170 () (not (= @t54 @t54))) % 17.33/17.56 (define @t171 () (or @t168 @t170 @t167)) % 17.33/17.56 (define @t172 () (@list @t53)) % 17.33/17.56 (define @t173 () (not (= tptp.sk_c6 @t51))) % 17.33/17.56 (define @t174 () (not (= @t50 @t54))) % 17.33/17.56 (define @t175 () (not (= tptp.sk_c6 @t56))) % 17.33/17.56 (define @t176 () (or @t174 @t175 @t174 @t173)) % 17.33/17.56 (define @t177 () (@list @t50)) % 17.33/17.56 (define @t178 () (or @t175 @t174 @t173)) % 17.33/17.56 (define @t179 () (forall @t177 @t178)) % 17.33/17.56 (define @t180 () (forall @t172 @t179)) % 17.33/17.56 (define @t181 () (forall (@list @t53 @t50) @t178)) % 17.33/17.56 (define @t182 () (not @t116)) % 17.33/17.56 (define @t183 () (or @t128 @t160 @t182 @t133 @t166 @t181)) % 17.33/17.56 (define @t184 () (or @t128 @t160 @t182 @t132 @t165 @t178)) % 17.33/17.56 (define @t185 () (or @t128 @t131 @t130 @t160 @t182 @t164 @t163 @t175 @t174 @t173)) % 17.33/17.56 (define @t186 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 @t38))) % 17.33/17.56 (define @t187 () (and @t106 @t107 @t108 @t134 @t105 @t103 @t101 @t136 @t99 @t96 @t138 @t95 @t92 @t87 @t146 @t148)) % 17.33/17.56 (define @t188 () (tptp.multiply @t38 tptp.sk_c7)) % 17.33/17.56 (define @t189 () (= tptp.sk_c6 @t188)) % 17.33/17.56 (define @t190 () (and @t106 @t107 @t108 @t134 @t105 @t103 @t101 @t99 @t96 @t95 @t92 @t87)) % 17.33/17.56 (define @t191 () (not @t189)) % 17.33/17.56 (define @t192 () (not @t186)) % 17.33/17.56 (define @t193 () (or @t192 @t191)) % 17.33/17.56 (define @t194 () (forall @t172 @t169)) % 17.33/17.56 (define @t195 () (= tptp.sk_c7 @t15)) % 17.33/17.56 (define @t196 () (= tptp.sk_c7 @t18)) % 17.33/17.56 (define @t197 () (tptp.multiply tptp.sk_c2 tptp.identity)) % 17.33/17.56 (define @t198 () (tptp.multiply @t15 @t197)) % 17.33/17.56 (define @t199 () (tptp.multiply @t15 tptp.sk_c2)) % 17.33/17.56 (define @t200 () (= (tptp.multiply @t199 tptp.identity) @t198)) % 17.33/17.56 (define @t201 () (not @t200)) % 17.33/17.56 (define @t202 () (= tptp.identity @t199)) % 17.33/17.56 (define @t203 () (not @t202)) % 17.33/17.56 (define @t204 () (not @t196)) % 17.33/17.56 (define @t205 () (not @t195)) % 17.33/17.56 (define @t206 () (and @t191 @t189)) % 17.33/17.56 (define @t207 () (= tptp.sk_c6 @t21)) % 17.33/17.56 (define @t208 () (= tptp.sk_c4 @t24)) % 17.33/17.56 (define @t209 () (= tptp.sk_c6 @t27)) % 17.33/17.56 (define @t210 () (tptp.multiply @t15 @t18)) % 17.33/17.56 (define @t211 () (tptp.multiply @t199 tptp.sk_c6)) % 17.33/17.56 (define @t212 () (= @t211 @t210)) % 17.33/17.56 (define @t213 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 17.33/17.56 (define @t214 () (= tptp.sk_c6 @t213)) % 17.33/17.56 (define @t215 () (and @t195 @t196 @t105 @t103 @t202 @t212)) % 17.33/17.56 (define @t216 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 17.33/17.56 (define @t217 () (tptp.multiply tptp.identity tptp.sk_c2)) % 17.33/17.56 (define @t218 () (= tptp.sk_c2 @t217)) % 17.33/17.56 (define @t219 () (tptp.multiply @t24 tptp.sk_c3)) % 17.33/17.56 (define @t220 () (= tptp.identity @t219)) % 17.33/17.56 (define @t221 () (tptp.multiply tptp.identity @t78)) % 17.33/17.56 (define @t222 () (= @t78 @t221)) % 17.33/17.56 (define @t223 () (tptp.multiply @t82 @t78)) % 17.33/17.56 (define @t224 () (= tptp.identity @t223)) % 17.33/17.56 (define @t225 () (tptp.multiply tptp.sk_c6 tptp.identity)) % 17.33/17.56 (define @t226 () (tptp.multiply tptp.sk_c6 @t225)) % 17.33/17.56 (define @t227 () (tptp.multiply @t216 tptp.identity)) % 17.33/17.56 (define @t228 () (= @t227 @t226)) % 17.33/17.56 (define @t229 () (tptp.multiply tptp.identity @t81)) % 17.33/17.56 (define @t230 () (tptp.multiply @t100 @t78)) % 17.33/17.56 (define @t231 () (= @t230 @t229)) % 17.33/17.56 (define @t232 () (tptp.multiply tptp.sk_c6 @t12)) % 17.33/17.56 (define @t233 () (tptp.multiply @t216 tptp.sk_c5)) % 17.33/17.56 (define @t234 () (= @t233 @t232)) % 17.33/17.56 (define @t235 () (tptp.multiply tptp.sk_c5 tptp.identity)) % 17.33/17.56 (define @t236 () (tptp.multiply tptp.sk_c6 @t235)) % 17.33/17.56 (define @t237 () (tptp.multiply @t12 tptp.identity)) % 17.33/17.56 (define @t238 () (= @t237 @t236)) % 17.33/17.56 (define @t239 () (tptp.multiply tptp.sk_c6 @t81)) % 17.33/17.56 (define @t240 () (tptp.multiply @t12 @t78)) % 17.33/17.56 (define @t241 () (= @t240 @t239)) % 17.33/17.56 (define @t242 () (tptp.multiply @t78 @t81)) % 17.33/17.56 (define @t243 () (tptp.multiply @t135 @t78)) % 17.33/17.56 (define @t244 () (= @t243 @t242)) % 17.33/17.56 (define @t245 () (tptp.multiply @t82 @t242)) % 17.33/17.56 (define @t246 () (= (tptp.multiply @t223 @t81) @t245)) % 17.33/17.56 (define @t247 () (tptp.multiply @t216 @t81)) % 17.33/17.56 (define @t248 () (tptp.multiply @t233 @t78)) % 17.33/17.56 (define @t249 () (= @t248 @t247)) % 17.33/17.56 (define @t250 () (tptp.multiply tptp.sk_c5 @t135)) % 17.33/17.56 (define @t251 () (tptp.multiply @t81 tptp.sk_c5)) % 17.33/17.56 (define @t252 () (= @t251 @t250)) % 17.33/17.56 (define @t253 () (tptp.multiply tptp.sk_c7 tptp.identity)) % 17.33/17.56 (define @t254 () (tptp.multiply tptp.sk_c1 @t253)) % 17.33/17.56 (define @t255 () (tptp.multiply @t30 tptp.identity)) % 17.33/17.56 (define @t256 () (= @t255 @t254)) % 17.33/17.56 (define @t257 () (tptp.multiply @t18 tptp.sk_c6)) % 17.33/17.56 (define @t258 () (= @t257 (tptp.multiply tptp.sk_c2 @t216))) % 17.33/17.56 (define @t259 () (tptp.multiply tptp.sk_c7 @t213)) % 17.33/17.56 (define @t260 () (tptp.multiply @t213 tptp.sk_c7)) % 17.33/17.56 (define @t261 () (= @t260 @t259)) % 17.33/17.56 (define @t262 () (tptp.multiply tptp.sk_c7 tptp.sk_c2)) % 17.33/17.56 (define @t263 () (tptp.multiply tptp.sk_c7 @t262)) % 17.33/17.56 (define @t264 () (tptp.multiply @t213 tptp.sk_c2)) % 17.33/17.56 (define @t265 () (= @t264 @t263)) % 17.33/17.56 (define @t266 () (tptp.multiply tptp.sk_c6 tptp.sk_c2)) % 17.33/17.56 (define @t267 () (tptp.multiply tptp.sk_c6 @t266)) % 17.33/17.56 (define @t268 () (tptp.multiply @t216 tptp.sk_c2)) % 17.33/17.56 (define @t269 () (= @t268 @t267)) % 17.33/17.56 (define @t270 () (tptp.multiply tptp.sk_c3 @t27)) % 17.33/17.56 (define @t271 () (tptp.multiply @t21 tptp.sk_c7)) % 17.33/17.56 (define @t272 () (= @t271 @t270)) % 17.33/17.56 (define @t273 () (tptp.multiply tptp.sk_c3 @t216)) % 17.33/17.56 (define @t274 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 17.33/17.56 (define @t275 () (tptp.multiply @t274 tptp.sk_c6)) % 17.33/17.56 (define @t276 () (= @t275 @t273)) % 17.33/17.56 (define @t277 () (tptp.multiply tptp.sk_c3 tptp.identity)) % 17.33/17.56 (define @t278 () (tptp.multiply @t24 @t277)) % 17.33/17.56 (define @t279 () (tptp.multiply @t219 tptp.identity)) % 17.33/17.56 (define @t280 () (= @t279 @t278)) % 17.33/17.56 (define @t281 () (tptp.multiply @t12 @t135)) % 17.33/17.56 (define @t282 () (tptp.multiply tptp.sk_c7 @t78)) % 17.33/17.56 (define @t283 () (tptp.multiply tptp.sk_c6 @t282)) % 17.33/17.56 (define @t284 () (tptp.multiply tptp.identity @t217)) % 17.33/17.56 (define @t285 () (tptp.multiply @t104 tptp.sk_c2)) % 17.33/17.56 (define @t286 () (and @t106 @t116 @t195 @t196 @t207 @t208 @t209 @t107 @t105 @t103 @t101 @t136 @t218 @t202 @t220 @t222 @t224 @t228 @t231 @t234 @t238 @t200 @t241 @t244 @t246 @t249 @t252 @t256 @t258 @t212 @t261 @t265 @t269 @t272 @t276 @t280)) % 17.33/17.56 (define @t287 () (not @t280)) % 17.33/17.56 (define @t288 () (not @t276)) % 17.33/17.56 (define @t289 () (not @t272)) % 17.33/17.56 (define @t290 () (not @t269)) % 17.33/17.56 (define @t291 () (not @t265)) % 17.33/17.56 (define @t292 () (not @t261)) % 17.33/17.56 (define @t293 () (not @t212)) % 17.33/17.56 (define @t294 () (not @t258)) % 17.33/17.56 (define @t295 () (not @t256)) % 17.33/17.56 (define @t296 () (not @t252)) % 17.33/17.56 (define @t297 () (not @t249)) % 17.33/17.56 (define @t298 () (not @t246)) % 17.33/17.56 (define @t299 () (not @t244)) % 17.33/17.56 (define @t300 () (not @t241)) % 17.33/17.56 (define @t301 () (not @t238)) % 17.33/17.56 (define @t302 () (not @t234)) % 17.33/17.56 (define @t303 () (not @t231)) % 17.33/17.56 (define @t304 () (not @t228)) % 17.33/17.56 (define @t305 () (not @t224)) % 17.33/17.56 (define @t306 () (not @t222)) % 17.33/17.56 (define @t307 () (not @t220)) % 17.33/17.56 (define @t308 () (not @t218)) % 17.33/17.56 (define @t309 () (not @t209)) % 17.33/17.56 (define @t310 () (not @t208)) % 17.33/17.56 (define @t311 () (not @t207)) % 17.33/17.56 (define @t312 () (tptp.multiply tptp.identity @t151)) % 17.33/17.56 (define @t313 () (= (tptp.multiply @t221 tptp.identity) @t312)) % 17.33/17.56 (define @t314 () (tptp.multiply tptp.sk_c6 @t221)) % 17.33/17.56 (define @t315 () (tptp.multiply @t225 @t78)) % 17.33/17.56 (define @t316 () (= @t315 @t314)) % 17.33/17.56 (define @t317 () (tptp.multiply tptp.sk_c6 @t315)) % 17.33/17.56 (define @t318 () (tptp.multiply @t226 @t78)) % 17.33/17.56 (define @t319 () (= @t318 @t317)) % 17.33/17.56 (define @t320 () (tptp.multiply tptp.sk_c7 @t282)) % 17.33/17.56 (define @t321 () (tptp.multiply @t213 @t78)) % 17.33/17.56 (define @t322 () (= @t321 @t320)) % 17.33/17.56 (define @t323 () (tptp.multiply tptp.sk_c6 @t151)) % 17.33/17.56 (define @t324 () (tptp.multiply @t102 @t78)) % 17.33/17.56 (define @t325 () (tptp.multiply tptp.sk_c6 @t78)) % 17.33/17.56 (define @t326 () (tptp.multiply @t227 @t78)) % 17.33/17.56 (define @t327 () (tptp.inverse @t235)) % 17.33/17.56 (define @t328 () (tptp.multiply @t78 tptp.sk_c6)) % 17.33/17.56 (define @t329 () (tptp.inverse @t328)) % 17.33/17.56 (define @t330 () (= tptp.sk_c7 @t80)) % 17.33/17.56 (define @t331 () (and @t106 @t116 @t195 @t196 @t207 @t208 @t209 @t107 @t105 @t103 @t101 @t136 @t218 @t202 @t220 @t222 @t224 @t228 @t313 @t316 @t231 @t234 @t238 @t241 @t244 @t246 @t249 @t252 @t256 @t319 @t212 @t261 @t322 @t265 @t269 @t272 @t276 @t280)) % 17.33/17.56 (define @t332 () (not @t322)) % 17.33/17.56 (define @t333 () (not @t319)) % 17.33/17.56 (define @t334 () (not @t316)) % 17.33/17.56 (define @t335 () (not @t313)) % 17.33/17.56 (define @t336 () (not @t330)) % 17.33/17.56 (define @t337 () (not @t214)) % 17.33/17.56 (define @t338 () (or @t337 @t336)) % 17.33/17.56 (define @t339 () (or @t205 @t204)) % 17.33/17.56 (define @t340 () (tptp.multiply @t24 tptp.sk_c7)) % 17.33/17.56 (define @t341 () (= tptp.sk_c6 @t340)) % 17.33/17.56 (define @t342 () (not @t341)) % 17.33/17.56 (define @t343 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 @t24))) % 17.33/17.56 (define @t344 () (not @t343)) % 17.33/17.56 (define @t345 () (or @t344 @t342)) % 17.33/17.56 (define @t346 () (tptp.multiply tptp.identity tptp.sk_c3)) % 17.33/17.56 (define @t347 () (= tptp.sk_c3 @t346)) % 17.33/17.56 (define @t348 () (tptp.multiply tptp.sk_c6 @t135)) % 17.33/17.56 (define @t349 () (= (tptp.multiply @t325 tptp.sk_c5) @t348)) % 17.33/17.56 (define @t350 () (tptp.multiply @t21 tptp.sk_c3)) % 17.33/17.56 (define @t351 () (= @t350 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c3)))) % 17.33/17.56 (define @t352 () (tptp.multiply @t274 tptp.sk_c5)) % 17.33/17.56 (define @t353 () (= @t352 (tptp.multiply tptp.sk_c3 @t12))) % 17.33/17.56 (define @t354 () (tptp.multiply @t104 tptp.sk_c3)) % 17.33/17.56 (define @t355 () (tptp.multiply tptp.identity @t346)) % 17.33/17.56 (define @t356 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 17.33/17.56 (define @t357 () (tptp.multiply @t78 @t12)) % 17.33/17.56 (define @t358 () (and @t106 @t116 @t195 @t196 @t207 @t208 @t209 @t107 @t105 @t103 @t101 @t136 @t218 @t202 @t347 @t220 @t222 @t224 @t228 @t313 @t316 @t231 @t234 @t349 @t238 @t241 @t244 @t246 @t249 @t252 @t256 @t319 @t212 @t261 @t322 @t265 @t269 @t351 @t272 @t353 @t276 @t280)) % 17.33/17.56 (define @t359 () (and @t207 @t208)) % 17.33/17.56 (define @t360 () (tptp.multiply tptp.sk_c4 @t253)) % 17.33/17.56 (define @t361 () (and @t106 @t208 @t209 @t105 @t101 @t136 @t222 @t224 @t231 @t238 @t244 @t246 @t252)) % 17.33/17.56 (define @t362 () (tptp.multiply @t325 tptp.sk_c6)) % 17.33/17.56 (define @t363 () (= @t362 (tptp.multiply tptp.sk_c6 @t328))) % 17.33/17.56 (define @t364 () (= (tptp.multiply @t27 tptp.identity) @t360)) % 17.33/17.56 (define @t365 () (tptp.inverse @t83)) % 17.33/17.56 (define @t366 () (and @t106 @t116 @t195 @t196 @t207 @t208 @t209 @t105 @t103 @t101 @t136 @t202 @t220 @t222 @t224 @t228 @t313 @t316 @t363 @t231 @t234 @t238 @t200 @t241 @t244 @t246 @t249 @t252 @t364 @t319 @t258 @t212 @t261 @t322 @t272 @t276 @t280)) % 17.33/17.56 (define @t367 () (not @t364)) % 17.33/17.56 (define @t368 () (not @t363)) % 17.33/17.56 (define @t369 () (tptp.multiply @t78 @t78)) % 17.33/17.56 (define @t370 () (and @t106 @t116 @t195 @t196 @t207 @t208 @t209 @t105 @t103 @t101 @t136 @t202 @t220 @t222 @t224 @t228 @t313 @t316 @t363 @t231 @t234 @t238 @t241 @t244 @t246 @t249 @t252 @t364 @t319 @t212 @t261 @t322 @t272 @t276 @t280)) % 17.33/17.56 (define @t371 () (@list true)) % 17.33/17.56 (define @t372 () (@list @t106)) % 17.33/17.56 (define @t373 () (tptp.multiply tptp.sk_c6 @t325)) % 17.33/17.56 (define @t374 () (tptp.multiply @t216 @t78)) % 17.33/17.56 (define @t375 () (= @t374 @t373)) % 17.33/17.56 (define @t376 () (tptp.multiply @t78 @t216)) % 17.33/17.56 (define @t377 () (= (tptp.multiply @t328 tptp.sk_c6) @t376)) % 17.33/17.56 (define @t378 () (tptp.multiply @t78 @t139)) % 17.33/17.56 (define @t379 () (= (tptp.multiply @t135 tptp.sk_c6) @t378)) % 17.33/17.56 (define @t380 () (= (tptp.multiply @t10 @t78) @t283)) % 17.33/17.56 (define @t381 () (tptp.multiply tptp.sk_c6 @t83)) % 17.33/17.56 (define @t382 () (= (tptp.multiply @t10 tptp.sk_c6) @t381)) % 17.33/17.56 (define @t383 () (tptp.multiply @t10 tptp.sk_c7)) % 17.33/17.56 (define @t384 () (= @t383 (tptp.multiply tptp.sk_c6 @t213))) % 17.33/17.56 (define @t385 () (tptp.multiply @t83 tptp.identity)) % 17.33/17.56 (define @t386 () (tptp.multiply @t80 @t385)) % 17.33/17.56 (define @t387 () (= (tptp.multiply @t84 tptp.identity) @t386)) % 17.33/17.56 (define @t388 () (tptp.multiply @t18 @t282)) % 17.33/17.56 (define @t389 () (= @t388 (tptp.multiply tptp.sk_c2 @t283))) % 17.33/17.56 (define @t390 () (tptp.multiply @t135 tptp.sk_c7)) % 17.33/17.56 (define @t391 () (= @t390 (tptp.multiply @t78 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) % 17.33/17.56 (define @t392 () (tptp.multiply @t78 @t240)) % 17.33/17.56 (define @t393 () (= (tptp.multiply @t357 @t78) @t392)) % 17.33/17.56 (define @t394 () (tptp.multiply @t213 @t325)) % 17.33/17.56 (define @t395 () (= @t394 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 @t325)))) % 17.33/17.56 (define @t396 () (tptp.multiply @t273 @t78)) % 17.33/17.56 (define @t397 () (= @t396 (tptp.multiply tptp.sk_c3 @t374))) % 17.33/17.56 (define @t398 () (tptp.multiply @t356 tptp.sk_c2)) % 17.33/17.56 (define @t399 () (= @t398 (tptp.multiply tptp.sk_c3 @t262))) % 17.33/17.56 (define @t400 () (and @t116 @t195 @t196 @t207 @t208 @t209 @t105 @t103 @t101 @t136 @t99 @t96 @t202 @t220 @t222 @t224 @t375 @t363 @t377 @t231 @t87 @t200 @t241 @t379 @t244 @t246 @t380 @t252 @t212 @t261 @t322 @t265 @t382 @t384 @t272 @t276 @t280 @t387 @t389 @t391 @t393 @t395 @t397 @t399)) % 17.33/17.56 (assume @p1 @t4) % 17.33/17.56 (assume @p2 @t6) % 17.33/17.56 (assume @p3 @t9) % 17.33/17.56 (assume @p4 @t14) % 17.33/17.56 (assume @p5 @t17) % 17.33/17.56 (assume @p6 @t20) % 17.33/17.56 (assume @p7 @t23) % 17.33/17.56 (assume @p8 @t26) % 17.33/17.56 (assume @p9 @t29) % 17.33/17.56 (assume @p10 @t32) % 17.33/17.56 (assume @p11 @t33) % 17.33/17.56 (assume @p12 @t34) % 17.33/17.56 (assume @p13 @t35) % 17.33/17.56 (assume @p14 @t36) % 17.33/17.56 (assume @p15 @t37) % 17.33/17.56 (assume @p16 @t40) % 17.33/17.56 (assume @p17 @t41) % 17.33/17.56 (assume @p18 @t42) % 17.33/17.56 (assume @p19 @t43) % 17.33/17.56 (assume @p20 @t44) % 17.33/17.56 (assume @p21 @t45) % 17.33/17.56 (assume @p22 (or @t47 @t11)) % 17.33/17.56 (assume @p23 @t48) % 17.33/17.56 (assume @p24 @t49) % 17.33/17.56 (assume @p25 (or @t47 @t22)) % 17.33/17.56 (assume @p26 (or @t47 @t25)) % 17.33/17.56 (assume @p27 (or @t47 @t28)) % 17.33/17.56 (assume @p28 @t73) % 17.33/17.56 (step @p29 :rule eq-symm :args (@t2 @t1)) % 17.33/17.56 (step @p30 :rule cong :premises (@p29) :args (@t4)) % 17.33/17.56 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 17.33/17.56 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.identity))) % 17.33/17.56 (step @p33 :rule instantiate :premises (@p31) :args ((@list tptp.sk_c6))) % 17.33/17.56 (step @p34 :rule instantiate :premises (@p31) :args (@t74)) % 17.33/17.56 (step @p35 :rule eq-symm :args (@t5 tptp.identity)) % 17.33/17.56 (step @p36 :rule cong :premises (@p35) :args (@t6)) % 17.33/17.56 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 17.33/17.56 (step @p38 :rule instantiate :premises (@p37) :args (@t74)) % 17.33/17.56 (step @p39 :rule instantiate :premises (@p31) :args (@t75)) % 17.33/17.56 (step @p40 :rule instantiate :premises (@p37) :args (@t75)) % 17.33/17.56 (step @p41 :rule instantiate :premises (@p37) :args (@t76)) % 17.33/17.56 (step @p42 :rule instantiate :premises (@p37) :args (@t77)) % 17.33/17.56 (step @p43 :rule instantiate :premises (@p31) :args (@t79)) % 17.33/17.56 (step @p44 :rule instantiate :premises (@p37) :args (@t79)) % 17.33/17.56 (step @p45 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c6 @t78))) % 17.33/17.56 (step @p46 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 @t78 tptp.sk_c6))) % 17.33/17.56 (step @p47 :rule instantiate :premises (@p3) :args ((@list @t78 tptp.sk_c6 tptp.sk_c6))) % 17.33/17.56 (step @p48 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.sk_c5 @t78))) % 17.33/17.56 (step @p49 :rule instantiate :premises (@p3) :args ((@list @t80 tptp.sk_c7 tptp.sk_c6))) % 17.33/17.56 (step @p50 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c2 tptp.identity))) % 17.33/17.56 (step @p51 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c5 @t78))) % 17.33/17.56 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t78 tptp.sk_c5 tptp.sk_c6))) % 17.33/17.56 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t78 tptp.sk_c5 @t78))) % 17.33/17.56 (step @p54 :rule instantiate :premises (@p3) :args ((@list @t82 @t78 @t81))) % 17.33/17.56 (step @p55 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c7 @t78))) % 17.33/17.56 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c5 @t78 tptp.sk_c5))) % 17.33/17.56 (step @p57 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c2 tptp.sk_c6))) % 17.33/17.56 (step @p58 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c7 tptp.sk_c7))) % 17.33/17.56 (step @p59 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c7 @t78))) % 17.33/17.56 (step @p60 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c7 tptp.sk_c2))) % 17.33/17.56 (step @p61 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c3 tptp.sk_c4 tptp.sk_c7))) % 17.33/17.56 (step @p62 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c3 tptp.sk_c6 tptp.sk_c6))) % 17.33/17.56 (step @p63 :rule instantiate :premises (@p3) :args ((@list @t24 tptp.sk_c3 tptp.identity))) % 17.33/17.56 (assume-push @p2765 @t9) % 17.33/17.56 (step-pop @p2766 :rule scope :premises (@p49)) % 17.33/17.56 (step @p65 :rule process_scope :premises (@p2766) :args (@t87)) % 17.33/17.56 (step @p67 :rule implies_elim :premises (@p65)) % 17.33/17.56 (assume-push @p2767 @t9) % 17.33/17.56 (step @p69 :rule instantiate :premises (@p3) :args (@t88)) % 17.33/17.56 (step-pop @p2768 :rule scope :premises (@p69)) % 17.33/17.56 (step @p70 :rule process_scope :premises (@p2768) :args (@t92)) % 17.33/17.56 (step @p72 :rule implies_elim :premises (@p70)) % 17.33/17.56 (assume-push @p2769 @t93) % 17.33/17.56 (step @p74 :rule instantiate :premises (@p37) :args (@t94)) % 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@p2612 :rule cong :premises (@p2571 @p2611) :args (@t394)) % 17.33/17.57 (step @p2613 :rule symm :premises (@p2478)) % 17.33/17.57 (step @p1471 :rule cong :premises (@p122 @p251) :args (@t324)) % 17.33/17.57 (step @p1472 :rule cong :premises (@p33 @p1198) :args (@t323)) % 17.33/17.57 (step @p2614 :rule cong :premises (@p2571 @p1200) :args (@t321)) % 17.33/17.57 (step @p1475 :rule symm :premises (@p59)) % 17.33/17.57 (step @p2615 :rule refl :args (@t282)) % 17.33/17.57 (step @p2616 :rule symm :premises (@p4117)) % 17.33/17.57 (step @p2617 :rule cong :premises (@p2616 @p2615) :args (@t388)) % 17.33/17.57 (step @p2618 :rule symm :premises (@p2473)) % 17.33/17.57 (step @p2619 :rule trans :premises (@p143 @p4115)) % 17.33/17.57 (step @p2620 :rule cong :premises (@p2619 @p251) :args (@t230)) % 17.33/17.57 (step @p2621 :rule trans :premises (@p44 @p934 @p933 @p932 @p931 @p2620 @p55)) % 17.33/17.57 (step @p640 :rule refl :args (tptp.sk_c2)) % 17.33/17.57 (step @p2622 :rule cong :premises (@p640 @p2621) :args (@t197)) % 17.33/17.57 (step @p2623 :rule trans :premises (@p2622 @p2618 @p2617 @p1475 @p2614 @p1472 @p1471)) % 17.33/17.57 (step @p2624 :rule symm :premises (@p4116)) % 17.33/17.57 (step @p2625 :rule cong :premises (@p2624 @p2623) :args (@t198)) % 17.33/17.57 (step @p648 :rule cong :premises (@p41 @p647) :args (@t104)) % 17.33/17.57 (step @p2626 :rule trans :premises (@p32 @p648 @p50 @p2625)) % 17.33/17.57 (step @p2627 :rule cong :premises (@p134 @p2626) :args (@t253)) % 17.33/17.57 (step @p2628 :rule cong :premises (@p4116 @p640) :args (@t262)) % 17.33/17.57 (step @p2629 :rule trans :premises (@p2628 @p878)) % 17.33/17.57 (step @p2630 :rule cong :premises (@p134 @p2629) :args (@t263)) % 17.33/17.57 (step @p2631 :rule cong :premises (@p2573 @p640) :args (@t266)) % 17.33/17.57 (step @p2632 :rule symm :premises (@p4118)) % 17.33/17.57 (step @p2633 :rule cong :premises (@p2632 @p134) :args (@t271)) % 17.33/17.57 (step @p1177 :rule symm :premises (@p61)) % 17.33/17.57 (step @p944 :rule refl :args (tptp.sk_c3)) % 17.33/17.57 (step @p2634 :rule cong :premises (@p944 @p4120) :args (@t274)) % 17.33/17.57 (step @p2635 :rule trans :premises (@p2634 @p1177 @p2633 @p2569)) % 17.33/17.57 (step @p2636 :rule cong :premises (@p2635 @p123) :args (@t275)) % 17.33/17.57 (step @p1181 :rule symm :premises (@p62)) % 17.33/17.57 (step @p2637 :rule trans :premises (@p1181 @p2636)) % 17.33/17.57 (step @p2638 :rule trans :premises (@p2637 @p2603)) % 17.33/17.57 (step @p2639 :rule cong :premises (@p2638 @p251) :args (@t396)) % 17.33/17.57 (step @p2640 :rule symm :premises (@p2479)) % 17.33/17.57 (step @p2641 :rule symm :premises (@p45)) % 17.33/17.57 (step @p2642 :rule symm :premises (@p2610)) % 17.33/17.57 (step @p2643 :rule symm :premises (@p2609)) % 17.33/17.57 (step @p2644 :rule symm :premises (@p47)) % 17.33/17.57 (step @p2645 :rule symm :premises (@p2600)) % 17.33/17.57 (step @p2646 :rule symm :premises (@p2594)) % 17.33/17.57 (step @p133 :rule cong :premises (@p124 @p39) :args (@t112)) % 17.33/17.57 (step @p135 :rule cong :premises (@p32 @p134) :args (@t98)) % 17.33/17.57 (step @p2647 :rule trans :premises (@p39 @p135 @p133 @p2646 @p2476 @p2645 @p2644 @p2643 @p46 @p2642 @p2641)) % 17.33/17.57 (step @p2648 :rule cong :premises (@p944 @p2647) :args (@t356)) % 17.33/17.57 (step @p2649 :rule trans :premises (@p2648 @p2640 @p2639 @p51 @p915 @p2585 @p2472 @p2583 @p129 @p128 @p126 @p125 @p122)) % 17.33/17.57 (step @p2650 :rule cong :premises (@p2649 @p640) :args (@t398)) % 17.33/17.57 (step @p2651 :rule symm :premises (@p2480)) % 17.33/17.57 (step @p2652 :rule symm :premises (@p2629)) % 17.33/17.57 (step @p2653 :rule cong :premises (@p944 @p2652) :args (@t277)) % 17.33/17.57 (step @p2654 :rule trans :premises (@p2653 @p2651 @p2650 @p2631 @p60 @p2630 @p2627 @p2613 @p2612 @p2610 @p2121 @p2609 @p47 @p2600 @p2595 @p2594 @p683 @p682 @p120)) % 17.33/17.57 (step @p2144 :rule refl :args (@t24)) % 17.33/17.57 (step @p2655 :rule cong :premises (@p2144 @p2654) :args (@t278)) % 17.33/17.57 (step @p2656 :rule cong :premises (@p42 @p647) :args (@t104)) % 17.33/17.57 (step @p2657 :rule trans :premises (@p32 @p2656 @p63 @p2655 @p2593 @p2591 @p33 @p256 @p255 @p254 @p49 @p2590 @p2589 @p2588)) % 17.33/17.57 (step @p2658 :rule cong :premises (@p143 @p2657) :args (@t153)) % 17.33/17.57 (step @p1151 :rule cong :premises (@p34 @p239) :args (@t250)) % 17.33/17.57 (step @p1152 :rule cong :premises (@p1136 @p143) :args (@t114)) % 17.33/17.57 (step @p147 :rule cong :premises (@p124 @p34) :args (@t115)) % 17.33/17.57 (step @p149 :rule cong :premises (@p32 @p148) :args (@t100)) % 17.33/17.57 (step @p2659 :rule trans :premises (@p32 @p2656 @p63 @p2655 @p2593)) % 17.33/17.57 (step @p2660 :rule cong :premises (@p944 @p2659) :args (@t277)) % 17.33/17.57 (step @p2661 :rule symm :premises (@p2653)) % 17.33/17.57 (step @p2662 :rule symm :premises (@p2650)) % 17.33/17.57 (step @p2663 :rule symm :premises (@p2631)) % 17.33/17.57 (step @p1166 :rule symm :premises (@p60)) % 17.33/17.57 (step @p2664 :rule symm :premises (@p2630)) % 17.33/17.57 (step @p2665 :rule symm :premises (@p2627)) % 17.33/17.57 (step @p2666 :rule symm :premises (@p2612)) % 17.33/17.57 (step @p2667 :rule trans :premises (@p39 @p135 @p133 @p2646 @p2476 @p2645 @p2644 @p2643 @p46 @p2642 @p2666 @p2478 @p2665 @p2664 @p1166 @p2663 @p2662 @p2480 @p2661 @p2660 @p1177 @p2633 @p2569 @p34 @p149 @p147 @p1152 @p56 @p1151 @p2658 @p2587 @p2577 @p2474 @p2576)) % 17.33/17.57 (step-pop @p4203 :rule scope :premises (@p2667)) % 17.33/17.57 (step-pop @p4204 :rule scope :premises (@p4203)) % 17.33/17.57 (step-pop @p4205 :rule scope :premises (@p4204)) % 17.33/17.57 (step-pop @p4206 :rule scope :premises (@p4205)) % 17.33/17.57 (step-pop @p4207 :rule scope :premises (@p4206)) % 17.33/17.57 (step-pop @p4208 :rule scope :premises (@p4207)) % 17.33/17.57 (step-pop @p4209 :rule scope :premises (@p4208)) % 17.33/17.57 (step-pop @p4210 :rule scope :premises (@p4209)) % 17.33/17.57 (step-pop @p4211 :rule 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(step-pop @p4243 :rule scope :premises (@p4242)) % 17.33/17.57 (step-pop @p4244 :rule scope :premises (@p4243)) % 17.33/17.57 (step-pop @p4245 :rule scope :premises (@p4244)) % 17.33/17.57 (step-pop @p4246 :rule scope :premises (@p4245)) % 17.33/17.57 (step @p2668 :rule process_scope :premises (@p4246) :args (@t106)) % 17.33/17.57 (step @p2713 :rule and_intro :premises (@p4115 @p33 @p32 @p41 @p57 @p4116 @p4117 @p58 @p2474 @p40 @p49 @p34 @p44 @p43 @p38 @p53 @p54 @p48 @p56 @p2472 @p4120 @p4119 @p39 @p2476 @p2475 @p47 @p51 @p2477 @p52 @p46 @p2478 @p59 @p2473 @p55 @p50 @p60 @p4118 @p61 @p62 @p2479 @p45 @p2480 @p63 @p42)) % 17.33/17.57 (step @p2714 :rule modus_ponens :premises (@p2713 @p2668)) % 17.33/17.57 (step-pop @p4247 :rule scope :premises (@p2714)) % 17.33/17.57 (step-pop @p4248 :rule scope :premises (@p4247)) % 17.33/17.57 (step-pop @p4249 :rule scope :premises (@p4248)) % 17.33/17.57 (step-pop @p4250 :rule scope :premises (@p4249)) % 17.33/17.57 (step-pop @p4251 :rule scope :premises (@p4250)) % 17.33/17.57 (step-pop @p4252 :rule scope :premises (@p4251)) % 17.33/17.57 (step-pop @p4253 :rule scope :premises (@p4252)) % 17.33/17.57 (step-pop @p4254 :rule scope :premises (@p4253)) % 17.33/17.57 (step-pop @p4255 :rule scope :premises (@p4254)) % 17.33/17.57 (step-pop @p4256 :rule scope :premises (@p4255)) % 17.33/17.57 (step-pop @p4257 :rule scope :premises (@p4256)) % 17.33/17.57 (step-pop @p4258 :rule scope :premises (@p4257)) % 17.33/17.57 (step-pop @p4259 :rule scope :premises (@p4258)) % 17.33/17.57 (step-pop @p4260 :rule scope :premises (@p4259)) % 17.33/17.57 (step-pop @p4261 :rule scope :premises (@p4260)) % 17.33/17.57 (step-pop @p4262 :rule scope :premises (@p4261)) % 17.33/17.57 (step-pop @p4263 :rule scope :premises (@p4262)) % 17.33/17.57 (step-pop @p4264 :rule scope :premises (@p4263)) % 17.33/17.57 (step-pop @p4265 :rule scope :premises (@p4264)) % 17.33/17.57 (step-pop @p4266 :rule scope :premises (@p4265)) % 17.33/17.57 (step-pop @p4267 :rule scope :premises (@p4266)) % 17.33/17.57 (step-pop @p4268 :rule scope :premises (@p4267)) % 17.33/17.57 (step-pop @p4269 :rule scope :premises (@p4268)) % 17.33/17.57 (step-pop @p4270 :rule scope :premises (@p4269)) % 17.33/17.57 (step-pop @p4271 :rule scope :premises (@p4270)) % 17.33/17.57 (step-pop @p4272 :rule scope :premises (@p4271)) % 17.33/17.57 (step-pop @p4273 :rule scope :premises (@p4272)) % 17.33/17.57 (step-pop @p4274 :rule scope :premises (@p4273)) % 17.33/17.57 (step-pop @p4275 :rule scope :premises (@p4274)) % 17.33/17.57 (step-pop @p4276 :rule scope :premises (@p4275)) % 17.33/17.57 (step-pop @p4277 :rule scope :premises (@p4276)) % 17.33/17.57 (step-pop @p4278 :rule scope :premises (@p4277)) % 17.33/17.57 (step-pop @p4279 :rule scope :premises (@p4278)) % 17.33/17.57 (step-pop @p4280 :rule scope :premises (@p4279)) % 17.33/17.57 (step-pop @p4281 :rule scope :premises (@p4280)) % 17.33/17.57 (step-pop @p4282 :rule scope :premises (@p4281)) % 17.33/17.57 (step-pop @p4283 :rule scope :premises (@p4282)) % 17.33/17.57 (step-pop @p4284 :rule scope :premises (@p4283)) % 17.33/17.57 (step-pop @p4285 :rule scope :premises (@p4284)) % 17.33/17.57 (step-pop @p4286 :rule scope :premises (@p4285)) % 17.33/17.57 (step-pop @p4287 :rule scope :premises (@p4286)) % 17.33/17.57 (step-pop @p4288 :rule scope :premises (@p4287)) % 17.33/17.57 (step-pop @p4289 :rule scope :premises (@p4288)) % 17.33/17.57 (step-pop @p4290 :rule scope :premises (@p4289)) % 17.33/17.57 (step @p2715 :rule process_scope :premises (@p4290) :args (@t106)) % 17.33/17.57 (step @p2760 :rule implies_elim :premises (@p2715)) % 17.33/17.57 (step @p2761 :rule cnf_and_neg :args (@t400)) % 17.33/17.57 (step @p2762 :rule resolution :premises (@p2761 @p2760) :args (true @t400)) % 17.33/17.57 (step @p2763 :rule reordering :premises (@p2762) :args ((or @t106 @t182 @t205 @t204 @t311 @t310 @t309 @t125 @t124 @t123 @t159 @t122 @t121 @t203 @t307 @t306 @t305 (not @t375) @t368 (not @t377) @t303 @t118 @t201 @t300 (not @t379) @t299 @t298 (not @t380) @t296 @t293 @t292 @t332 @t291 @t289 @t288 @t287 (not @t387) (not @t389) (not @t382) (not @t384) (not @t391) (not @t393) (not @t395) (not @t397) (not @t399)))) % 17.33/17.57 (step @p2764 false :rule chain_m_resolution :premises (@p2763 @p2480 @p2479 @p2478 @p2477 @p2476 @p2475 @p2474 @p2473 @p2472 @p2471 @p2468 @p2465 @p2462 @p2459 @p2456 @p2453 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p34 @p33 @p32) :args (false (@list false false false false false false false false false false false false false false false true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t399 @t397 @t395 @t393 @t391 @t384 @t382 @t389 @t387 @t209 @t208 @t207 @t196 @t195 @t116 @t106 @t280 @t276 @t272 @t265 @t322 @t261 @t212 @t252 @t380 @t246 @t244 @t379 @t241 @t200 @t87 @t231 @t377 @t363 @t375 @t224 @t222 @t220 @t202 @t96 @t99 @t136 @t101 @t103 @t105))) % 17.33/17.57 ) % 17.33/17.57 % SZS output end Proof % 17.33/17.57 % cvc5 exiting %------------------------------------------------------------------------------