%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP291-1 : 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 : n020.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 08:20:24 AM UTC 2026 % Result : Unsatisfiable 16.21s 16.71s % Output : Proof 16.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP291-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:01:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.10/16.39 --- Run --no-e-matching --full-saturate-quant at 6... % 16.21/16.71 % SZS status Unsatisfiable % 16.21/16.71 % SZS output start Proof % 16.21/16.74 ( % 16.21/16.74 (declare-sort $$unsorted 0) % 16.21/16.74 (declare-const tptp.sk_c2 $$unsorted) % 16.21/16.74 (declare-const tptp.sk_c1 $$unsorted) % 16.21/16.74 (declare-const tptp.sk_c6 $$unsorted) % 16.21/16.74 (declare-const tptp.sk_c7 $$unsorted) % 16.21/16.74 (declare-const tptp.sk_c4 $$unsorted) % 16.21/16.74 (declare-const tptp.sk_c5 $$unsorted) % 16.21/16.74 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.21/16.74 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.21/16.74 (declare-const tptp.sk_c3 $$unsorted) % 16.21/16.74 (declare-const tptp.identity $$unsorted) % 16.21/16.74 (define @t1 () (@var "X" $$unsorted)) % 16.21/16.74 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.21/16.74 (define @t3 () (@list @t1)) % 16.21/16.74 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.21/16.74 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.21/16.74 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.21/16.74 (define @t7 () (@var "Z" $$unsorted)) % 16.21/16.74 (define @t8 () (@var "Y" $$unsorted)) % 16.21/16.74 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.21/16.74 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 16.21/16.74 (define @t11 () (= @t10 tptp.sk_c5)) % 16.21/16.74 (define @t12 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 16.21/16.74 (define @t13 () (= @t12 tptp.sk_c5)) % 16.21/16.74 (define @t14 () (or @t13 @t11)) % 16.21/16.74 (define @t15 () (tptp.inverse tptp.sk_c3)) % 16.21/16.74 (define @t16 () (= @t15 tptp.sk_c7)) % 16.21/16.74 (define @t17 () (or @t13 @t16)) % 16.21/16.74 (define @t18 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 16.21/16.74 (define @t19 () (= @t18 tptp.sk_c7)) % 16.21/16.74 (define @t20 () (or @t13 @t19)) % 16.21/16.74 (define @t21 () (tptp.inverse tptp.sk_c4)) % 16.21/16.74 (define @t22 () (= @t21 tptp.sk_c6)) % 16.21/16.74 (define @t23 () (or @t13 @t22)) % 16.21/16.74 (define @t24 () (tptp.multiply tptp.sk_c4 tptp.sk_c5)) % 16.21/16.74 (define @t25 () (= @t24 tptp.sk_c6)) % 16.21/16.74 (define @t26 () (or @t13 @t25)) % 16.21/16.74 (define @t27 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 16.21/16.74 (define @t28 () (= @t27 tptp.sk_c6)) % 16.21/16.74 (define @t29 () (or @t28 @t11)) % 16.21/16.74 (define @t30 () (or @t28 @t16)) % 16.21/16.74 (define @t31 () (or @t28 @t19)) % 16.21/16.74 (define @t32 () (or @t28 @t22)) % 16.21/16.74 (define @t33 () (or @t28 @t25)) % 16.21/16.74 (define @t34 () (tptp.inverse tptp.sk_c1)) % 16.21/16.74 (define @t35 () (= @t34 tptp.sk_c7)) % 16.21/16.74 (define @t36 () (or @t35 @t11)) % 16.21/16.74 (define @t37 () (or @t35 @t16)) % 16.21/16.74 (define @t38 () (or @t35 @t19)) % 16.21/16.74 (define @t39 () (or @t35 @t22)) % 16.21/16.74 (define @t40 () (or @t35 @t25)) % 16.21/16.74 (define @t41 () (tptp.multiply tptp.sk_c2 tptp.sk_c5)) % 16.21/16.74 (define @t42 () (= @t41 tptp.sk_c7)) % 16.21/16.74 (define @t43 () (or @t42 @t16)) % 16.21/16.74 (define @t44 () (or @t42 @t22)) % 16.21/16.74 (define @t45 () (or @t42 @t25)) % 16.21/16.74 (define @t46 () (tptp.inverse tptp.sk_c2)) % 16.21/16.74 (define @t47 () (= @t46 tptp.sk_c5)) % 16.21/16.74 (define @t48 () (or @t47 @t16)) % 16.21/16.74 (define @t49 () (or @t47 @t22)) % 16.21/16.74 (define @t50 () (or @t47 @t25)) % 16.21/16.74 (define @t51 () (@var "X2" $$unsorted)) % 16.21/16.74 (define @t52 () (tptp.multiply @t51 tptp.sk_c5)) % 16.21/16.74 (define @t53 () (not (= @t52 tptp.sk_c6))) % 16.21/16.74 (define @t54 () (tptp.inverse @t51)) % 16.21/16.74 (define @t55 () (not (= @t54 tptp.sk_c6))) % 16.21/16.74 (define @t56 () (@var "X1" $$unsorted)) % 16.21/16.74 (define @t57 () (tptp.multiply @t56 tptp.sk_c6)) % 16.21/16.74 (define @t58 () (not (= @t57 tptp.sk_c7))) % 16.21/16.74 (define @t59 () (tptp.inverse @t56)) % 16.21/16.74 (define @t60 () (not (= @t59 tptp.sk_c7))) % 16.21/16.74 (define @t61 () (not @t11)) % 16.21/16.74 (define @t62 () (@var "X4" $$unsorted)) % 16.21/16.74 (define @t63 () (tptp.inverse @t62)) % 16.21/16.74 (define @t64 () (not (= @t63 tptp.sk_c5))) % 16.21/16.74 (define @t65 () (tptp.multiply @t62 tptp.sk_c5)) % 16.21/16.74 (define @t66 () (not (= @t65 tptp.sk_c7))) % 16.21/16.74 (define @t67 () (@var "X3" $$unsorted)) % 16.21/16.74 (define @t68 () (tptp.inverse @t67)) % 16.21/16.74 (define @t69 () (not (= @t68 tptp.sk_c7))) % 16.21/16.74 (define @t70 () (tptp.multiply @t67 tptp.sk_c7)) % 16.21/16.74 (define @t71 () (not (= @t70 tptp.sk_c6))) % 16.21/16.74 (define @t72 () (not @t13)) % 16.21/16.74 (define @t73 () (or @t72 @t71 @t69 @t66 @t64 @t61 @t60 @t58 @t55 @t53)) % 16.21/16.74 (define @t74 () (@list @t67 @t62 @t56 @t51)) % 16.21/16.74 (define @t75 () (forall @t74 @t73)) % 16.21/16.74 (define @t76 () (@list tptp.identity)) % 16.21/16.74 (define @t77 () (@list tptp.sk_c7)) % 16.21/16.74 (define @t78 () (@list tptp.sk_c6)) % 16.21/16.74 (define @t79 () (@list tptp.sk_c5)) % 16.21/16.74 (define @t80 () (@list tptp.sk_c3)) % 16.21/16.74 (define @t81 () (@list tptp.sk_c4)) % 16.21/16.74 (define @t82 () (tptp.inverse tptp.sk_c7)) % 16.21/16.74 (define @t83 () (@list @t82)) % 16.21/16.74 (define @t84 () (tptp.inverse tptp.sk_c6)) % 16.21/16.74 (define @t85 () (tptp.multiply tptp.sk_c7 @t82)) % 16.21/16.74 (define @t86 () (tptp.inverse @t82)) % 16.21/16.74 (define @t87 () (= tptp.sk_c7 @t34)) % 16.21/16.74 (define @t88 () (not @t87)) % 16.21/16.74 (define @t89 () (= tptp.sk_c6 @t27)) % 16.21/16.74 (define @t90 () (not @t89)) % 16.21/16.74 (define @t91 () (or @t90 @t88)) % 16.21/16.74 (define @t92 () (not (= tptp.sk_c7 @t68))) % 16.21/16.74 (define @t93 () (not (= tptp.sk_c6 @t70))) % 16.21/16.74 (define @t94 () (or @t93 @t92)) % 16.21/16.74 (define @t95 () (forall (@list @t67) @t94)) % 16.21/16.74 (define @t96 () (@list tptp.sk_c1)) % 16.21/16.74 (define @t97 () (= tptp.sk_c5 @t12)) % 16.21/16.74 (define @t98 () (tptp.multiply tptp.identity tptp.identity)) % 16.21/16.74 (define @t99 () (= tptp.identity @t98)) % 16.21/16.74 (define @t100 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.21/16.74 (define @t101 () (= tptp.sk_c7 @t100)) % 16.21/16.74 (define @t102 () (tptp.multiply @t82 tptp.sk_c7)) % 16.21/16.74 (define @t103 () (= tptp.identity @t102)) % 16.21/16.74 (define @t104 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.21/16.74 (define @t105 () (= tptp.sk_c6 @t104)) % 16.21/16.74 (define @t106 () (tptp.multiply @t34 tptp.sk_c1)) % 16.21/16.74 (define @t107 () (= tptp.identity @t106)) % 16.21/16.74 (define @t108 () (tptp.multiply @t34 @t27)) % 16.21/16.74 (define @t109 () (= (tptp.multiply @t106 tptp.sk_c7) @t108)) % 16.21/16.74 (define @t110 () (tptp.multiply @t82 @t12)) % 16.21/16.74 (define @t111 () (tptp.multiply @t102 tptp.sk_c6)) % 16.21/16.74 (define @t112 () (= @t111 @t110)) % 16.21/16.74 (define @t113 () (tptp.multiply @t27 tptp.sk_c7)) % 16.21/16.74 (define @t114 () (tptp.multiply @t98 tptp.sk_c6)) % 16.21/16.74 (define @t115 () (tptp.multiply tptp.identity @t104)) % 16.21/16.74 (define @t116 () (tptp.multiply tptp.identity @t100)) % 16.21/16.74 (define @t117 () (tptp.multiply @t98 tptp.sk_c7)) % 16.21/16.74 (define @t118 () (= tptp.sk_c5 @t10)) % 16.21/16.74 (define @t119 () (and @t97 @t89 @t87 @t99 @t101 @t103 @t105 @t107 @t109 @t112)) % 16.21/16.74 (define @t120 () (not @t112)) % 16.21/16.74 (define @t121 () (not @t109)) % 16.21/16.74 (define @t122 () (not @t107)) % 16.21/16.74 (define @t123 () (not @t105)) % 16.21/16.74 (define @t124 () (not @t103)) % 16.21/16.74 (define @t125 () (not @t101)) % 16.21/16.74 (define @t126 () (not @t99)) % 16.21/16.74 (define @t127 () (not @t97)) % 16.21/16.74 (define @t128 () (forall @t3 (= tptp.identity @t5))) % 16.21/16.74 (define @t129 () (forall @t3 (= @t1 @t2))) % 16.21/16.74 (define @t130 () (= tptp.sk_c5 @t46)) % 16.21/16.74 (define @t131 () (= tptp.sk_c7 @t15)) % 16.21/16.74 (define @t132 () (= tptp.sk_c6 @t21)) % 16.21/16.74 (define @t133 () (= tptp.sk_c6 @t24)) % 16.21/16.74 (define @t134 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) % 16.21/16.74 (define @t135 () (and @t97 @t89 @t87 @t99 @t101 @t107 @t109)) % 16.21/16.74 (define @t136 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.21/16.74 (define @t137 () (= tptp.sk_c4 @t136)) % 16.21/16.74 (define @t138 () (tptp.multiply @t21 tptp.sk_c4)) % 16.21/16.74 (define @t139 () (= tptp.identity @t138)) % 16.21/16.74 (define @t140 () (tptp.multiply tptp.identity @t136)) % 16.21/16.74 (define @t141 () (tptp.multiply @t98 tptp.sk_c4)) % 16.21/16.74 (define @t142 () (= tptp.sk_c6 @t34)) % 16.21/16.74 (define @t143 () (and @t97 @t132 @t133 @t89 @t87 @t99 @t101 @t103 @t105 @t137 @t139 @t107 @t109 @t112)) % 16.21/16.74 (define @t144 () (= tptp.sk_c7 @t104)) % 16.21/16.74 (define @t145 () (tptp.inverse tptp.identity)) % 16.21/16.74 (define @t146 () (= tptp.sk_c7 @t145)) % 16.21/16.74 (define @t147 () (not @t134)) % 16.21/16.74 (define @t148 () (not @t142)) % 16.21/16.74 (define @t149 () (or @t148 @t147)) % 16.21/16.74 (define @t150 () (not @t144)) % 16.21/16.74 (define @t151 () (not @t146)) % 16.21/16.74 (define @t152 () (or @t151 @t150)) % 16.21/16.74 (define @t153 () (not (= tptp.sk_c6 @t52))) % 16.21/16.74 (define @t154 () (not (= tptp.sk_c6 @t54))) % 16.21/16.74 (define @t155 () (or @t154 @t153)) % 16.21/16.74 (define @t156 () (forall (@list @t51) @t155)) % 16.21/16.74 (define @t157 () (not (= tptp.sk_c7 @t57))) % 16.21/16.74 (define @t158 () (not (= tptp.sk_c7 @t59))) % 16.21/16.74 (define @t159 () (or @t158 @t157)) % 16.21/16.74 (define @t160 () (forall (@list @t56) @t159)) % 16.21/16.74 (define @t161 () (not (= tptp.sk_c5 @t63))) % 16.21/16.74 (define @t162 () (not (= tptp.sk_c7 @t65))) % 16.21/16.74 (define @t163 () (or @t162 @t161)) % 16.21/16.74 (define @t164 () (forall (@list @t62) @t163)) % 16.21/16.74 (define @t165 () (not @t118)) % 16.21/16.74 (define @t166 () (or @t127 @t165 @t94 @t163 @t159 @t155)) % 16.21/16.74 (define @t167 () (or @t127 @t93 @t92 @t162 @t161 @t165 @t158 @t157 @t154 @t153)) % 16.21/16.74 (define @t168 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) % 16.21/16.74 (define @t169 () (= tptp.sk_c5 @t82)) % 16.21/16.74 (define @t170 () (and @t97 @t131 @t132 @t133 @t89 @t87 @t99 @t101 @t103 @t105 @t137 @t139 @t107 @t109 @t112)) % 16.21/16.74 (define @t171 () (not @t169)) % 16.21/16.74 (define @t172 () (not @t168)) % 16.21/16.74 (define @t173 () (or @t172 @t171)) % 16.21/16.74 (define @t174 () (not @t130)) % 16.21/16.74 (define @t175 () (= tptp.sk_c7 @t41)) % 16.21/16.74 (define @t176 () (not @t175)) % 16.21/16.74 (define @t177 () (or @t176 @t174)) % 16.21/16.74 (define @t178 () (@list tptp.sk_c2)) % 16.21/16.74 (define @t179 () (tptp.multiply @t46 tptp.sk_c2)) % 16.21/16.74 (define @t180 () (= tptp.identity @t179)) % 16.21/16.74 (define @t181 () (tptp.multiply tptp.sk_c2 tptp.sk_c7)) % 16.21/16.74 (define @t182 () (tptp.multiply @t46 @t181)) % 16.21/16.74 (define @t183 () (tptp.multiply @t179 tptp.sk_c7)) % 16.21/16.74 (define @t184 () (= @t183 @t182)) % 16.21/16.74 (define @t185 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 16.21/16.74 (define @t186 () (tptp.multiply @t82 @t185)) % 16.21/16.74 (define @t187 () (tptp.multiply @t102 tptp.sk_c7)) % 16.21/16.74 (define @t188 () (= @t187 @t186)) % 16.21/16.74 (define @t189 () (and @t97 @t89 @t87 @t175 @t130 @t99 @t101 @t103 @t105 @t107 @t109 @t112 @t180 @t184 @t188)) % 16.21/16.74 (define @t190 () (not @t188)) % 16.21/16.74 (define @t191 () (not @t184)) % 16.21/16.74 (define @t192 () (not @t180)) % 16.21/16.74 (define @t193 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.21/16.74 (define @t194 () (tptp.multiply tptp.identity @t193)) % 16.21/16.74 (define @t195 () (= (tptp.multiply @t98 tptp.sk_c2) @t194)) % 16.21/16.74 (define @t196 () (= tptp.sk_c2 @t193)) % 16.21/16.74 (define @t197 () (tptp.multiply tptp.sk_c7 tptp.sk_c2)) % 16.21/16.74 (define @t198 () (tptp.multiply tptp.sk_c7 @t197)) % 16.21/16.74 (define @t199 () (= (tptp.multiply @t185 tptp.sk_c2) @t198)) % 16.21/16.74 (define @t200 () (tptp.multiply tptp.sk_c7 tptp.sk_c1)) % 16.21/16.74 (define @t201 () (tptp.multiply tptp.sk_c7 @t200)) % 16.21/16.74 (define @t202 () (and @t97 @t89 @t87 @t175 @t130 @t99 @t101 @t103 @t105 @t107 @t109 @t112 @t195 @t196 @t180 @t184 @t199 @t188)) % 16.21/16.74 (define @t203 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.21/16.74 (define @t204 () (= tptp.sk_c1 @t203)) % 16.21/16.74 (define @t205 () (tptp.multiply @t185 tptp.sk_c1)) % 16.21/16.74 (define @t206 () (= @t205 @t201)) % 16.21/16.74 (define @t207 () (and @t97 @t89 @t87 @t175 @t130 @t99 @t101 @t103 @t105 @t204 @t107 @t109 @t112 @t180 @t184 @t206 @t188)) % 16.21/16.74 (define @t208 () (= tptp.sk_c7 @t18)) % 16.21/16.74 (define @t209 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.21/16.74 (define @t210 () (= tptp.sk_c3 @t209)) % 16.21/16.74 (define @t211 () (tptp.multiply @t15 tptp.sk_c3)) % 16.21/16.74 (define @t212 () (= tptp.identity @t211)) % 16.21/16.74 (define @t213 () (= @t82 (tptp.multiply tptp.identity @t82))) % 16.21/16.74 (define @t214 () (tptp.multiply @t86 @t82)) % 16.21/16.74 (define @t215 () (= tptp.identity @t214)) % 16.21/16.74 (define @t216 () (tptp.multiply tptp.sk_c7 tptp.sk_c3)) % 16.21/16.74 (define @t217 () (tptp.multiply @t82 @t216)) % 16.21/16.74 (define @t218 () (tptp.multiply @t102 tptp.sk_c3)) % 16.21/16.74 (define @t219 () (= @t218 @t217)) % 16.21/16.74 (define @t220 () (tptp.multiply tptp.identity @t85)) % 16.21/16.74 (define @t221 () (tptp.multiply @t100 @t82)) % 16.21/16.74 (define @t222 () (= @t221 @t220)) % 16.21/16.74 (define @t223 () (tptp.multiply @t82 @t85)) % 16.21/16.74 (define @t224 () (tptp.multiply @t102 @t82)) % 16.21/16.74 (define @t225 () (= @t224 @t223)) % 16.21/16.74 (define @t226 () (tptp.multiply @t86 @t223)) % 16.21/16.74 (define @t227 () (tptp.multiply @t214 @t85)) % 16.21/16.74 (define @t228 () (= @t227 @t226)) % 16.21/16.74 (define @t229 () (tptp.multiply @t82 tptp.identity)) % 16.21/16.74 (define @t230 () (tptp.multiply tptp.identity @t209)) % 16.21/16.74 (define @t231 () (tptp.multiply @t98 tptp.sk_c3)) % 16.21/16.74 (define @t232 () (= tptp.sk_c7 @t86)) % 16.21/16.74 (define @t233 () (and @t131 @t99 @t101 @t103 @t210 @t212 @t213 @t215 @t219 @t222 @t225 @t228)) % 16.21/16.74 (define @t234 () (not @t228)) % 16.21/16.74 (define @t235 () (not @t225)) % 16.21/16.74 (define @t236 () (not @t222)) % 16.21/16.74 (define @t237 () (not @t219)) % 16.21/16.74 (define @t238 () (not @t215)) % 16.21/16.74 (define @t239 () (not @t213)) % 16.21/16.74 (define @t240 () (not @t212)) % 16.21/16.74 (define @t241 () (not @t210)) % 16.21/16.74 (define @t242 () (not @t131)) % 16.21/16.74 (define @t243 () (tptp.multiply @t84 tptp.sk_c6)) % 16.21/16.74 (define @t244 () (= tptp.identity @t243)) % 16.21/16.74 (define @t245 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.21/16.74 (define @t246 () (= tptp.sk_c5 @t245)) % 16.21/16.74 (define @t247 () (tptp.multiply @t84 @t10)) % 16.21/16.74 (define @t248 () (tptp.multiply @t243 tptp.sk_c7)) % 16.21/16.74 (define @t249 () (= @t248 @t247)) % 16.21/16.74 (define @t250 () (tptp.multiply tptp.sk_c6 tptp.sk_c4)) % 16.21/16.74 (define @t251 () (tptp.multiply @t84 @t250)) % 16.21/16.74 (define @t252 () (tptp.multiply @t243 tptp.sk_c4)) % 16.21/16.74 (define @t253 () (= @t252 @t251)) % 16.21/16.74 (define @t254 () (tptp.multiply @t84 @t245)) % 16.21/16.74 (define @t255 () (tptp.multiply @t84 tptp.identity)) % 16.21/16.74 (define @t256 () (tptp.multiply @t255 tptp.sk_c5)) % 16.21/16.74 (define @t257 () (= @t256 @t254)) % 16.21/16.74 (define @t258 () (= tptp.sk_c6 @t100)) % 16.21/16.74 (define @t259 () (tptp.multiply @t84 tptp.sk_c5)) % 16.21/16.74 (define @t260 () (and @t118 @t132 @t133 @t99 @t101 @t105 @t244 @t246 @t137 @t139 @t249 @t253 @t257)) % 16.21/16.74 (define @t261 () (not @t257)) % 16.21/16.74 (define @t262 () (not @t253)) % 16.21/16.74 (define @t263 () (not @t249)) % 16.21/16.74 (define @t264 () (not @t139)) % 16.21/16.74 (define @t265 () (not @t137)) % 16.21/16.74 (define @t266 () (not @t246)) % 16.21/16.74 (define @t267 () (not @t244)) % 16.21/16.74 (define @t268 () (not @t133)) % 16.21/16.74 (define @t269 () (not @t132)) % 16.21/16.74 (define @t270 () (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) % 16.21/16.74 (define @t271 () (= tptp.identity @t270)) % 16.21/16.74 (define @t272 () (tptp.multiply @t15 @t18)) % 16.21/16.74 (define @t273 () (tptp.multiply @t211 tptp.sk_c6)) % 16.21/16.74 (define @t274 () (= @t273 @t272)) % 16.21/16.74 (define @t275 () (= tptp.sk_c7 @t270)) % 16.21/16.74 (define @t276 () (= tptp.sk_c6 @t102)) % 16.21/16.74 (define @t277 () (and @t118 @t131 @t208 @t132 @t133 @t99 @t101 @t103 @t105 @t244 @t246 @t271 @t212 @t137 @t139 @t188 @t274 @t249 @t253 @t257)) % 16.21/16.74 (define @t278 () (not @t274)) % 16.21/16.74 (define @t279 () (not @t208)) % 16.21/16.74 (define @t280 () (@list @t145)) % 16.21/16.74 (define @t281 () (tptp.inverse @t145)) % 16.21/16.74 (define @t282 () (tptp.multiply @t145 tptp.identity)) % 16.21/16.74 (define @t283 () (= tptp.identity @t282)) % 16.21/16.74 (define @t284 () (tptp.multiply tptp.identity @t145)) % 16.21/16.74 (define @t285 () (= @t145 @t284)) % 16.21/16.74 (define @t286 () (tptp.multiply @t281 @t145)) % 16.21/16.74 (define @t287 () (= tptp.identity @t286)) % 16.21/16.74 (define @t288 () (tptp.multiply @t145 @t145)) % 16.21/16.74 (define @t289 () (tptp.multiply @t284 @t145)) % 16.21/16.74 (define @t290 () (= @t289 (tptp.multiply tptp.identity @t288))) % 16.21/16.74 (define @t291 () (tptp.multiply @t282 @t145)) % 16.21/16.74 (define @t292 () (= @t291 (tptp.multiply @t145 @t284))) % 16.21/16.74 (define @t293 () (tptp.multiply @t286 @t145)) % 16.21/16.74 (define @t294 () (= @t293 (tptp.multiply @t281 @t288))) % 16.21/16.74 (define @t295 () (and @t118 @t131 @t208 @t132 @t133 @t99 @t283 @t101 @t103 @t105 @t244 @t246 @t212 @t137 @t139 @t285 @t287 @t188 @t274 @t290 @t292 @t294 @t249 @t253 @t257)) % 16.21/16.74 (define @t296 () (not @t294)) % 16.21/16.74 (define @t297 () (not @t292)) % 16.21/16.74 (define @t298 () (not @t290)) % 16.21/16.74 (define @t299 () (not @t287)) % 16.21/16.74 (define @t300 () (not @t285)) % 16.21/16.74 (define @t301 () (not @t283)) % 16.21/16.74 (define @t302 () (= @t113 (tptp.multiply tptp.sk_c1 @t185))) % 16.21/16.74 (define @t303 () (= tptp.sk_c7 @t245)) % 16.21/16.74 (define @t304 () (and @t118 @t131 @t208 @t132 @t133 @t89 @t99 @t101 @t105 @t244 @t246 @t212 @t137 @t139 @t302 @t274 @t249 @t253 @t257)) % 16.21/16.74 (define @t305 () (not @t302)) % 16.21/16.74 (define @t306 () (= tptp.sk_c5 @t145)) % 16.21/16.74 (define @t307 () (and @t118 @t131 @t208 @t132 @t133 @t89 @t99 @t283 @t101 @t103 @t105 @t244 @t246 @t212 @t137 @t139 @t285 @t287 @t188 @t302 @t274 @t290 @t292 @t294 @t249 @t253 @t257)) % 16.21/16.74 (define @t308 () (not @t232)) % 16.21/16.74 (define @t309 () (not @t276)) % 16.21/16.74 (define @t310 () (or @t309 @t308)) % 16.21/16.74 (define @t311 () (not @t310)) % 16.21/16.74 (define @t312 () (not @t306)) % 16.21/16.74 (define @t313 () (not @t303)) % 16.21/16.74 (define @t314 () (or @t313 @t312)) % 16.21/16.74 (define @t315 () (= tptp.sk_c6 @t15)) % 16.21/16.74 (define @t316 () (and @t118 @t131 @t132 @t133 @t99 @t101 @t244 @t246 @t137 @t139 @t249 @t253 @t257)) % 16.21/16.74 (define @t317 () (tptp.inverse @t21)) % 16.21/16.74 (define @t318 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) % 16.21/16.74 (define @t319 () (and @t118 @t131 @t208 @t132 @t133 @t89 @t99 @t283 @t101 @t103 @t105 @t244 @t246 @t210 @t212 @t137 @t139 @t285 @t287 @t188 @t302 @t274 @t290 @t292 @t294 @t213 @t215 @t219 @t222 @t249 @t225 @t228 @t253 @t257)) % 16.21/16.74 (define @t320 () (not @t318)) % 16.21/16.74 (define @t321 () (not @t315)) % 16.21/16.74 (define @t322 () (or @t321 @t320)) % 16.21/16.74 (define @t323 () (and @t97 @t131 @t99 @t101 @t103 @t105 @t210 @t212 @t112 @t213 @t215 @t219 @t222 @t225 @t228)) % 16.21/16.74 (define @t324 () (and @t97 @t118 @t131 @t208 @t132 @t133 @t99 @t101 @t105 @t244 @t246 @t212 @t137 @t139 @t274 @t249 @t253 @t257)) % 16.21/16.74 (define @t325 () (and @t97 @t118 @t131 @t208 @t132 @t133 @t99 @t101 @t105 @t244 @t246 @t212 @t137 @t139 @t146 @t274 @t249 @t253 @t257)) % 16.21/16.74 (define @t326 () (@list true)) % 16.21/16.74 (define @t327 () (@list @t97)) % 16.21/16.74 (define @t328 () (not @t95)) % 16.21/16.74 (define @t329 () (@quantifiers_skolemize @t95 0)) % 16.21/16.74 (define @t330 () (= tptp.sk_c7 (tptp.inverse @t329))) % 16.21/16.74 (define @t331 () (not @t330)) % 16.21/16.74 (define @t332 () (or (not (= tptp.sk_c6 (tptp.multiply @t329 tptp.sk_c7))) @t331)) % 16.21/16.74 (define @t333 () (not @t332)) % 16.21/16.74 (define @t334 () (tptp.inverse @t84)) % 16.21/16.74 (define @t335 () (= tptp.sk_c7 @t334)) % 16.21/16.74 (define @t336 () (= tptp.sk_c5 @t334)) % 16.21/16.74 (define @t337 () (= tptp.sk_c7 @t12)) % 16.21/16.74 (define @t338 () (and @t99 @t103 @t276 @t315 @t131 @t335 @t336 @t330 @t146 @t337 @t127)) % 16.21/16.74 (assume @p1 @t4) % 16.21/16.74 (assume @p2 @t6) % 16.21/16.74 (assume @p3 @t9) % 16.21/16.74 (assume @p4 @t14) % 16.21/16.74 (assume @p5 @t17) % 16.21/16.74 (assume @p6 @t20) % 16.21/16.74 (assume @p7 @t23) % 16.21/16.74 (assume @p8 @t26) % 16.21/16.74 (assume @p9 @t29) % 16.21/16.74 (assume @p10 @t30) % 16.21/16.74 (assume @p11 @t31) % 16.21/16.74 (assume @p12 @t32) % 16.21/16.74 (assume @p13 @t33) % 16.21/16.74 (assume @p14 @t36) % 16.21/16.74 (assume @p15 @t37) % 16.21/16.74 (assume @p16 @t38) % 16.21/16.74 (assume @p17 @t39) % 16.21/16.74 (assume @p18 @t40) % 16.21/16.74 (assume @p19 (or @t42 @t11)) % 16.21/16.74 (assume @p20 @t43) % 16.21/16.74 (assume @p21 (or @t42 @t19)) % 16.21/16.74 (assume @p22 @t44) % 16.21/16.74 (assume @p23 @t45) % 16.21/16.74 (assume @p24 (or @t47 @t11)) % 16.21/16.74 (assume @p25 @t48) % 16.21/16.74 (assume @p26 (or @t47 @t19)) % 16.21/16.74 (assume @p27 @t49) % 16.21/16.74 (assume @p28 @t50) % 16.21/16.74 (assume @p29 @t75) % 16.21/16.74 (step @p30 :rule eq-symm :args (@t2 @t1)) % 16.21/16.74 (step @p31 :rule cong :premises (@p30) :args (@t4)) % 16.21/16.74 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 16.21/16.74 (step @p33 :rule instantiate :premises (@p32) :args (@t76)) % 16.21/16.74 (step @p34 :rule instantiate :premises (@p32) :args (@t77)) % 16.21/16.74 (step @p35 :rule eq-symm :args (@t5 tptp.identity)) % 16.21/16.74 (step @p36 :rule cong :premises (@p35) :args (@t6)) % 16.21/16.74 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 16.21/16.74 (step @p38 :rule instantiate :premises (@p37) :args (@t77)) % 16.21/16.74 (step @p39 :rule instantiate :premises (@p32) :args (@t78)) % 16.21/16.74 (step @p40 :rule instantiate :premises (@p37) :args (@t78)) % 16.21/16.74 (step @p41 :rule instantiate :premises (@p32) :args (@t79)) % 16.21/16.74 (step @p42 :rule instantiate :premises (@p32) :args (@t80)) % 16.21/16.74 (step @p43 :rule instantiate :premises (@p37) :args (@t80)) % 16.21/16.74 (step @p44 :rule instantiate :premises (@p32) :args (@t81)) % 16.21/16.74 (step @p45 :rule instantiate :premises (@p37) :args (@t81)) % 16.21/16.74 (step @p46 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c3 tptp.sk_c6))) % 16.21/16.74 (step @p47 :rule instantiate :premises (@p32) :args (@t83)) % 16.21/16.74 (step @p48 :rule instantiate :premises (@p37) :args (@t83)) % 16.21/16.74 (step @p49 :rule instantiate :premises (@p3) :args ((@list @t82 tptp.sk_c7 tptp.sk_c3))) % 16.21/16.74 (step @p50 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.sk_c7 @t82))) % 16.21/16.74 (step @p51 :rule instantiate :premises (@p3) :args ((@list @t84 tptp.sk_c6 tptp.sk_c7))) % 16.21/16.74 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t82 tptp.sk_c7 @t82))) % 16.21/16.74 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t86 @t82 @t85))) % 16.21/16.74 (step @p54 :rule instantiate :premises (@p3) :args ((@list @t84 tptp.sk_c6 tptp.sk_c4))) % 16.21/16.74 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t84 tptp.identity tptp.sk_c5))) % 16.21/16.74 (step @p56 :rule cnf_or_pos :args (@t91)) % 16.21/16.74 (step @p57 :rule reordering :premises (@p56) :args ((or @t90 @t88 (not @t91)))) % 16.21/16.74 (assume-push @p2763 @t95) % 16.21/16.74 (step @p59 :rule instantiate :premises (@p2763) :args (@t96)) % 16.21/16.74 (step-pop @p2764 :rule scope :premises (@p59)) % 16.21/16.74 (step @p60 :rule process_scope :premises (@p2764) :args (@t91)) % 16.21/16.74 (step @p62 :rule implies_elim :premises (@p60)) % 16.21/16.74 (step @p63 :rule instantiate :premises (@p37) :args (@t96)) % 16.21/16.74 (step @p64 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.sk_c1 tptp.sk_c7))) % 16.21/16.74 (step @p65 :rule instantiate :premises (@p3) :args ((@list @t82 tptp.sk_c7 tptp.sk_c6))) % 16.21/16.74 (assume-push @p2765 @t97) % 16.21/16.74 (assume-push @p2766 @t89) % 16.21/16.74 (assume-push @p2767 @t87) % 16.21/16.74 (assume-push @p2768 @t99) % 16.21/16.74 (assume-push @p2769 @t101) % 16.21/16.74 (assume-push @p2770 @t103) % 16.21/16.74 (assume-push @p2771 @t105) % 16.21/16.74 (assume-push @p2772 @t107) % 16.21/16.74 (assume-push @p2773 @t109) % 16.21/16.74 (assume-push @p2774 @t112) % 16.21/16.74 (assume-push @p2775 @t89) % 16.21/16.74 (assume-push @p2776 @t105) % 16.21/16.74 (assume-push @p2777 @t99) % 16.21/16.74 (assume-push @p2778 @t103) % 16.21/16.74 (assume-push @p2779 @t112) % 16.21/16.74 (assume-push @p2780 @t87) % 16.21/16.74 (assume-push @p2781 @t109) % 16.21/16.74 (assume-push @p2782 @t107) % 16.21/16.74 (assume-push @p2783 @t101) % 16.21/16.74 (assume-push @p2784 @t97) % 16.21/16.74 (step @p86 :rule refl :args (tptp.sk_c7)) % 16.21/16.74 (step @p87 :rule symm :premises (@p2766)) % 16.21/16.74 (step @p88 :rule cong :premises (@p87 @p86) :args (@t113)) % 16.21/16.74 (step @p89 :rule symm :premises (@p34)) % 16.21/16.74 (step @p90 :rule symm :premises (@p39)) % 16.21/16.74 (step @p91 :rule refl :args (tptp.sk_c6)) % 16.21/16.74 (step @p92 :rule symm :premises (@p33)) % 16.21/16.74 (step @p93 :rule cong :premises (@p92 @p91) :args (@t114)) % 16.21/16.74 (step @p94 :rule cong :premises (@p33 @p90) :args (@t115)) % 16.21/16.74 (step @p95 :rule symm :premises (@p38)) % 16.21/16.74 (step @p96 :rule cong :premises (@p95 @p39) :args (@t111)) % 16.21/16.74 (step @p97 :rule symm :premises (@p65)) % 16.21/16.74 (step @p98 :rule symm :premises (@p2767)) % 16.21/16.74 (step @p99 :rule cong :premises (@p98 @p87) :args (@t108)) % 16.21/16.74 (step @p100 :rule cong :premises (@p63 @p89) :args (@t116)) % 16.21/16.74 (step @p101 :rule cong :premises (@p92 @p34) :args (@t117)) % 16.21/16.74 (step @p102 :rule cong :premises (@p33 @p86) :args (@t100)) % 16.21/16.74 (step @p103 :rule trans :premises (@p34 @p102 @p101 @p100 @p64 @p99)) % 16.21/16.74 (step @p104 :rule refl :args (@t82)) % 16.21/16.74 (step @p105 :rule cong :premises (@p104 @p103) :args (@t102)) % 16.21/16.74 (step @p106 :rule trans :premises (@p38 @p105 @p97 @p96 @p94 @p93 @p90 @p2766)) % 16.21/16.74 (step @p107 :rule cong :premises (@p106 @p89) :args (@t116)) % 16.21/16.74 (step @p108 :rule symm :premises (@p100)) % 16.21/16.74 (step @p109 :rule symm :premises (@p64)) % 16.21/16.74 (step @p110 :rule symm :premises (@p99)) % 16.21/16.74 (step @p111 :rule trans :premises (@p2765 @p110 @p109 @p108 @p107 @p88)) % 16.21/16.74 (step-pop @p2785 :rule scope :premises (@p111)) % 16.21/16.74 (step-pop @p2786 :rule scope :premises (@p2785)) % 16.21/16.74 (step-pop @p2787 :rule scope :premises (@p2786)) % 16.21/16.74 (step-pop @p2788 :rule scope :premises (@p2787)) % 16.21/16.74 (step-pop @p2789 :rule scope :premises (@p2788)) % 16.21/16.74 (step-pop @p2790 :rule scope :premises (@p2789)) % 16.21/16.74 (step-pop @p2791 :rule scope :premises (@p2790)) % 16.21/16.74 (step-pop @p2792 :rule scope :premises (@p2791)) % 16.21/16.74 (step-pop @p2793 :rule scope :premises (@p2792)) % 16.21/16.74 (step-pop @p2794 :rule scope :premises (@p2793)) % 16.21/16.74 (step @p112 :rule process_scope :premises (@p2794) :args (@t118)) % 16.21/16.74 (step @p123 :rule and_intro :premises (@p2766 @p39 @p33 @p38 @p65 @p2767 @p64 @p63 @p34 @p2765)) % 16.21/16.74 (step @p124 :rule modus_ponens :premises (@p123 @p112)) % 16.21/16.74 (step-pop @p2795 :rule scope :premises (@p124)) % 16.21/16.74 (step-pop @p2796 :rule scope :premises (@p2795)) % 16.21/16.74 (step-pop @p2797 :rule scope :premises (@p2796)) % 16.21/16.74 (step-pop @p2798 :rule scope :premises (@p2797)) % 16.21/16.74 (step-pop @p2799 :rule scope :premises (@p2798)) % 16.21/16.74 (step-pop @p2800 :rule scope :premises (@p2799)) % 16.21/16.74 (step-pop @p2801 :rule scope :premises (@p2800)) % 16.21/16.74 (step-pop @p2802 :rule scope :premises (@p2801)) % 16.21/16.74 (step-pop @p2803 :rule scope :premises (@p2802)) % 16.21/16.74 (step-pop @p2804 :rule scope :premises (@p2803)) % 16.21/16.74 (step @p125 :rule process_scope :premises (@p2804) :args (@t118)) % 16.21/16.74 (step @p136 :rule implies_elim :premises (@p125)) % 16.21/16.74 (step @p137 :rule cnf_and_neg :args (@t119)) % 16.21/16.74 (step @p138 :rule resolution :premises (@p137 @p136) :args (true @t119)) % 16.21/16.74 (step @p139 :rule reordering :premises (@p138) :args ((or @t118 @t127 @t90 @t88 @t126 @t125 @t124 @t123 @t122 @t121 @t120))) % 16.21/16.74 (assume-push @p2805 @t9) % 16.21/16.74 (step-pop @p2806 :rule scope :premises (@p65)) % 16.21/16.74 (step @p141 :rule process_scope :premises (@p2806) :args (@t112)) % 16.21/16.74 (step @p143 :rule implies_elim :premises (@p141)) % 16.21/16.74 (assume-push @p2807 @t9) % 16.21/16.74 (step-pop @p2808 :rule scope :premises (@p64)) % 16.21/16.74 (step @p145 :rule process_scope :premises (@p2808) :args (@t109)) % 16.21/16.74 (step @p147 :rule implies_elim :premises (@p145)) % 16.21/16.74 (assume-push @p2809 @t128) % 16.21/16.74 (step-pop @p2810 :rule scope :premises (@p63)) % 16.21/16.74 (step @p149 :rule process_scope :premises (@p2810) :args (@t107)) % 16.21/16.74 (step @p151 :rule implies_elim :premises (@p149)) % 16.21/16.74 (assume-push @p2811 @t129) % 16.21/16.74 (step-pop @p2812 :rule scope :premises (@p39)) % 16.21/16.74 (step @p153 :rule process_scope 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(assume-push @p4285 @t137) % 16.21/16.75 (assume-push @p4286 @t139) % 16.21/16.75 (assume-push @p4287 @t146) % 16.21/16.75 (assume-push @p4288 @t274) % 16.21/16.75 (assume-push @p4289 @t249) % 16.21/16.75 (assume-push @p4290 @t253) % 16.21/16.75 (assume-push @p4291 @t257) % 16.21/16.75 (assume-push @p4292 @t146) % 16.21/16.75 (assume-push @p4293 @t303) % 16.21/16.75 (assume-push @p4294 @t246) % 16.21/16.75 (step @p1698 :rule symm :premises (@p4293)) % 16.21/16.75 (step @p1699 :rule trans :premises (@p41 @p1698 @p4287)) % 16.21/16.75 (step-pop @p4295 :rule scope :premises (@p1699)) % 16.21/16.75 (step-pop @p4296 :rule scope :premises (@p4295)) % 16.21/16.75 (step-pop @p4297 :rule scope :premises (@p4296)) % 16.21/16.75 (step @p2316 :rule process_scope :premises (@p4297) :args (@t306)) % 16.21/16.75 (assume-push @p4298 @t246) % 16.21/16.75 (assume-push @p4299 @t97) % 16.21/16.75 (assume-push @p4300 @t133) % 16.21/16.75 (assume-push @p4301 @t137) % 16.21/16.75 (assume-push @p4302 @t99) % 16.21/16.75 (assume-push @p4303 @t244) % 16.21/16.75 (assume-push @p4304 @t253) % 16.21/16.75 (assume-push @p4305 @t132) % 16.21/16.75 (assume-push @p4306 @t139) % 16.21/16.75 (assume-push @p4307 @t257) % 16.21/16.75 (assume-push @p4308 @t118) % 16.21/16.75 (assume-push @p4309 @t249) % 16.21/16.75 (assume-push @p4310 @t101) % 16.21/16.75 (assume-push @p4311 @t131) % 16.21/16.75 (assume-push @p4312 @t208) % 16.21/16.75 (assume-push @p4313 @t274) % 16.21/16.75 (assume-push @p4314 @t212) % 16.21/16.75 (assume-push @p4315 @t105) % 16.21/16.75 (step @p2234 :rule symm :premises (@p4273)) % 16.21/16.75 (step @p2235 :rule symm :premises (@p4278)) % 16.21/16.75 (step @p1231 :rule refl :args (tptp.sk_c5)) % 16.21/16.75 (step @p257 :rule symm :premises (@p44)) % 16.21/16.75 (step @p264 :rule refl :args (tptp.sk_c4)) % 16.21/16.75 (step @p92 :rule symm :premises (@p33)) % 16.21/16.75 (step @p1605 :rule cong :premises (@p92 @p264) :args (@t141)) % 16.21/16.75 (step @p1606 :rule cong :premises (@p33 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(step-pop @p4335 :rule scope :premises (@p4334)) % 16.21/16.75 (step-pop @p4336 :rule scope :premises (@p4335)) % 16.21/16.75 (step-pop @p4337 :rule scope :premises (@p4336)) % 16.21/16.75 (step-pop @p4338 :rule scope :premises (@p4337)) % 16.21/16.75 (step-pop @p4339 :rule scope :premises (@p4338)) % 16.21/16.75 (step-pop @p4340 :rule scope :premises (@p4339)) % 16.21/16.75 (step-pop @p4341 :rule scope :premises (@p4340)) % 16.21/16.75 (step-pop @p4342 :rule scope :premises (@p4341)) % 16.21/16.75 (step-pop @p4343 :rule scope :premises (@p4342)) % 16.21/16.75 (step-pop @p4344 :rule scope :premises (@p4343)) % 16.21/16.75 (step-pop @p4345 :rule scope :premises (@p4344)) % 16.21/16.75 (step-pop @p4346 :rule scope :premises (@p4345)) % 16.21/16.75 (step-pop @p4347 :rule scope :premises (@p4346)) % 16.21/16.75 (step-pop @p4348 :rule scope :premises (@p4347)) % 16.21/16.75 (step-pop @p4349 :rule scope :premises (@p4348)) % 16.21/16.75 (step-pop @p4350 :rule scope :premises (@p4349)) % 16.21/16.75 (step-pop @p4351 :rule scope :premises (@p4350)) % 16.21/16.75 (step-pop @p4352 :rule scope :premises (@p4351)) % 16.21/16.75 (step @p2361 :rule process_scope :premises (@p4352) :args (@t306)) % 16.21/16.75 (step @p2381 :rule implies_elim :premises (@p2361)) % 16.21/16.75 (step @p2382 :rule cnf_and_neg :args (@t325)) % 16.21/16.75 (step @p2383 :rule resolution :premises (@p2382 @p2381) :args (true @t325)) % 16.21/16.75 (step @p2384 :rule reordering :premises (@p2383) :args ((or @t127 @t165 @t242 @t279 @t269 @t268 @t126 @t125 @t123 @t267 @t266 @t240 @t265 @t264 @t151 @t306 @t278 @t263 @t262 @t261))) % 16.21/16.75 (step @p2385 :rule chain_m_resolution :premises (@p495 @p1845 @p2103 @p1835 @p2098 @p2384 @p55 @p54 @p51 @p46 @p45 @p44 @p43 @p41 @p40 @p39 @p34 @p33 @p2293 @p55 @p54 @p51 @p46 @p45 @p44 @p43 @p41 @p40 @p39 @p34 @p33 @p2197 @p53 @p52 @p50 @p49 @p48 @p47 @p65 @p43 @p42 @p39 @p38 @p34 @p33 @p1840 @p467 @p1833 @p457 @p1273 @p55 @p54 @p51 @p45 @p44 @p41 @p40 @p39 @p34 @p33 @p1416 @p55 @p54 @p51 @p46 @p681 @p45 @p44 @p43 @p1274 @p41 @p40 @p39 @p38 @p34 @p33 @p1556 @p55 @p54 @p51 @p1422 @p1421 @p1420 @p46 @p681 @p1419 @p1418 @p45 @p44 @p43 @p41 @p40 @p39 @p38 @p34 @p1417 @p33 @p1912 @p55 @p54 @p51 @p45 @p44 @p41 @p40 @p34 @p33 @p1189 @p53 @p52 @p50 @p49 @p48 @p47 @p43 @p42 @p38 @p34 @p33 @p2120 @p2117 @p2114 @p2111 @p2108 @p2104) :args (@t127 (@list true true true 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 false false false false false false false false false false false true true true 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 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 false false false false false false false false false false false false false false false false false true) (@list @t164 @t156 @t314 @t322 @t306 @t257 @t253 @t249 @t274 @t139 @t137 @t212 @t246 @t244 @t105 @t101 @t99 @t303 @t257 @t253 @t249 @t274 @t139 @t137 @t212 @t246 @t244 @t105 @t101 @t99 @t318 @t228 @t225 @t222 @t219 @t215 @t213 @t112 @t212 @t210 @t105 @t103 @t101 @t99 @t95 @t160 @t310 @t152 @t144 @t257 @t253 @t249 @t139 @t137 @t246 @t244 @t105 @t101 @t99 @t276 @t257 @t253 @t249 @t274 @t188 @t139 @t137 @t212 @t271 @t246 @t244 @t105 @t103 @t101 @t99 @t146 @t257 @t253 @t249 @t294 @t292 @t290 @t274 @t188 @t287 @t285 @t139 @t137 @t212 @t246 @t244 @t105 @t103 @t101 @t283 @t99 @t315 @t257 @t253 @t249 @t139 @t137 @t246 @t244 @t101 @t99 @t232 @t228 @t225 @t222 @t219 @t215 @t213 @t212 @t210 @t103 @t101 @t99 @t133 @t132 @t208 @t131 @t118 @t89))) % 16.21/16.75 (step @p2386 :rule nary_cong :premises (@p490 @p480) :args (@t14)) % 16.21/16.75 (step @p2387 :rule eq_resolve 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@t294 @t249 @t253 @t257))) % 16.21/16.75 (step @p2403 :rule chain_m_resolution :premises (@p1416 @p2388 @p2391 @p2394 @p2397 @p2400 @p33 @p34 @p38 @p39 @p40 @p41 @p1274 @p43 @p44 @p45 @p681 @p46 @p51 @p54 @p55) :args (@t276 (@list false false false false false false false false false false false false false false false false false false false false) (@list @t118 @t131 @t208 @t132 @t133 @t99 @t101 @t103 @t105 @t244 @t246 @t271 @t212 @t137 @t139 @t188 @t274 @t249 @t253 @t257))) % 16.21/16.75 (step @p2404 :rule chain_m_resolution :premises (@p1189 @p2391 @p33 @p34 @p38 @p42 @p43 @p47 @p48 @p49 @p50 @p52 @p53) :args (@t232 (@list false false false false false false false false false false false false) (@list @t131 @t99 @t101 @t103 @t210 @t212 @t213 @t215 @t219 @t222 @t225 @t228))) % 16.21/16.75 (step @p2405 :rule chain_m_resolution :premises (@p1833 @p2403 @p2404) :args (@t311 (@list false false) (@list @t276 @t232))) % 16.21/16.75 (step @p2406 :rule chain_m_resolution :premises (@p1840 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(step @p2420 :rule cnf_or_neg :args (@t332 1)) % 16.21/16.75 (step @p2421 :rule eq_resolve :premises (@p2420 @p2419)) % 16.21/16.75 (step @p2422 :rule reordering :premises (@p2421) :args ((or @t330 @t332))) % 16.21/16.75 (step @p2423 :rule chain_m_resolution :premises (@p2422 @p2416) :args (@t330 @t326 (@list @t332))) % 16.21/16.75 (step @p2424 :rule refl :args (@t261)) % 16.21/16.75 (step @p2425 :rule refl :args (@t262)) % 16.21/16.75 (step @p2426 :rule refl :args (@t234)) % 16.21/16.75 (step @p2427 :rule refl :args (@t235)) % 16.21/16.75 (step @p2428 :rule refl :args (@t263)) % 16.21/16.75 (step @p2429 :rule refl :args (@t236)) % 16.21/16.75 (step @p2430 :rule refl :args (@t237)) % 16.21/16.75 (step @p2431 :rule refl :args (@t309)) % 16.21/16.75 (step @p2432 :rule refl :args (@t238)) % 16.21/16.75 (step @p2433 :rule refl :args (@t239)) % 16.21/16.75 (step @p2434 :rule refl :args (@t278)) % 16.21/16.75 (step @p2435 :rule refl :args (@t321)) % 16.21/16.75 (step @p2436 :rule refl :args 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@p2450 @p2449 @p2448 @p2447 @p2446 @p2445 @p2444 @p2443 @p2442 @p2441 @p2440 @p2439 @p2438 @p2437 @p2436 @p2435 @p2434 @p2433 @p2432 @p2431 @p2430 @p2429 @p2428 @p2427 @p2426 @p2425 @p2424) :args ((or @t165 @t242 @t279 @t269 @t268 (not @t127) @t126 @t125 @t124 @t123 @t267 @t266 @t241 @t240 @t265 @t264 @t331 @t151 @t321 @t278 @t239 @t238 @t309 @t237 @t236 @t263 @t235 @t234 @t262 @t261))) % 16.21/16.75 (assume-push @p4355 @t99) % 16.21/16.75 (assume-push @p4356 @t103) % 16.21/16.75 (assume-push @p4357 @t276) % 16.21/16.75 (assume-push @p4358 @t315) % 16.21/16.75 (assume-push @p4359 @t131) % 16.21/16.75 (assume-push @p4360 @t335) % 16.21/16.75 (assume-push @p4361 @t336) % 16.21/16.75 (assume-push @p4362 @t330) % 16.21/16.75 (assume-push @p4363 @t146) % 16.21/16.75 (assume-push @p4364 @t337) % 16.21/16.75 (assume-push @p4365 @t127) % 16.21/16.75 (step @p2466 :rule evaluate :args ((= false true))) % 16.21/16.75 (step @p2467 :rule symm :premises (@p4364)) % 16.21/16.75 (step @p2468 :rule 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@p4402 @t249) % 16.21/16.75 (assume-push @p4403 @t225) % 16.21/16.75 (assume-push @p4404 @t228) % 16.21/16.75 (assume-push @p4405 @t253) % 16.21/16.75 (assume-push @p4406 @t257) % 16.21/16.75 (assume-push @p4407 @t133) % 16.21/16.75 (assume-push @p4408 @t137) % 16.21/16.75 (assume-push @p4409 @t99) % 16.21/16.75 (assume-push @p4410 @t244) % 16.21/16.75 (assume-push @p4411 @t253) % 16.21/16.75 (assume-push @p4412 @t132) % 16.21/16.75 (assume-push @p4413 @t139) % 16.21/16.75 (assume-push @p4414 @t257) % 16.21/16.75 (assume-push @p4415 @t246) % 16.21/16.75 (assume-push @p4416 @t118) % 16.21/16.75 (assume-push @p4417 @t249) % 16.21/16.75 (assume-push @p4418 @t101) % 16.21/16.75 (assume-push @p4419 @t131) % 16.21/16.75 (assume-push @p4420 @t208) % 16.21/16.75 (assume-push @p4421 @t274) % 16.21/16.75 (assume-push @p4422 @t212) % 16.21/16.75 (assume-push @p4423 @t105) % 16.21/16.75 (step @p2544 :rule symm :premises (@p4381)) % 16.21/16.75 (step @p1231 :rule refl :args (tptp.sk_c5)) % 16.21/16.75 (step @p257 :rule symm :premises (@p44)) % 16.21/16.75 (step @p264 :rule refl :args (tptp.sk_c4)) % 16.21/16.75 (step @p92 :rule symm :premises (@p33)) % 16.21/16.75 (step @p1605 :rule cong :premises (@p92 @p264) :args (@t141)) % 16.21/16.75 (step @p1606 :rule cong :premises (@p33 @p257) :args (@t140)) % 16.21/16.75 (step @p1224 :rule symm :premises (@p40)) % 16.21/16.75 (step @p1607 :rule cong :premises (@p1224 @p44) :args (@t252)) % 16.21/16.75 (step @p1608 :rule symm :premises (@p54)) % 16.21/16.75 (step @p2545 :rule symm :premises (@p4380)) % 16.21/16.75 (step @p2546 :rule cong :premises (@p2545 @p264) :args (@t138)) % 16.21/16.75 (step @p2547 :rule trans :premises (@p45 @p2546)) % 16.21/16.75 (step @p1227 :rule refl :args (@t84)) % 16.21/16.75 (step @p2548 :rule cong :premises (@p1227 @p2547) :args (@t255)) % 16.21/16.75 (step @p2549 :rule trans :premises (@p2548 @p1608 @p1607 @p1606 @p1605 @p257)) % 16.21/16.75 (step @p2550 :rule cong :premises (@p2549 @p1231) :args 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(step-pop @p4430 :rule scope :premises (@p4429)) % 16.21/16.75 (step-pop @p4431 :rule scope :premises (@p4430)) % 16.21/16.75 (step-pop @p4432 :rule scope :premises (@p4431)) % 16.21/16.75 (step-pop @p4433 :rule scope :premises (@p4432)) % 16.21/16.75 (step-pop @p4434 :rule scope :premises (@p4433)) % 16.21/16.75 (step-pop @p4435 :rule scope :premises (@p4434)) % 16.21/16.75 (step-pop @p4436 :rule scope :premises (@p4435)) % 16.21/16.75 (step-pop @p4437 :rule scope :premises (@p4436)) % 16.21/16.75 (step-pop @p4438 :rule scope :premises (@p4437)) % 16.21/16.75 (step-pop @p4439 :rule scope :premises (@p4438)) % 16.21/16.75 (step-pop @p4440 :rule scope :premises (@p4439)) % 16.21/16.75 (step @p2559 :rule process_scope :premises (@p4440) :args (@t337)) % 16.21/16.75 (step @p2577 :rule and_intro :premises (@p4381 @p44 @p33 @p40 @p54 @p4380 @p45 @p55 @p41 @p4377 @p51 @p34 @p4378 @p4379 @p46 @p43 @p39)) % 16.21/16.75 (step @p2578 :rule modus_ponens :premises (@p2577 @p2559)) % 16.21/16.75 (assume-push @p4441 @t132) % 16.21/16.75 (assume-push @p4442 @t133) % 16.21/16.75 (assume-push @p4443 @t137) % 16.21/16.75 (assume-push @p4444 @t99) % 16.21/16.75 (assume-push @p4445 @t244) % 16.21/16.75 (assume-push @p4446 @t253) % 16.21/16.75 (assume-push @p4447 @t139) % 16.21/16.75 (assume-push @p4448 @t257) % 16.21/16.75 (assume-push @p4449 @t246) % 16.21/16.75 (assume-push @p4450 @t118) % 16.21/16.75 (assume-push @p4451 @t249) % 16.21/16.75 (assume-push @p4452 @t101) % 16.21/16.75 (assume-push @p4453 @t213) % 16.21/16.75 (assume-push @p4454 @t103) % 16.21/16.75 (assume-push @p4455 @t225) % 16.21/16.75 (assume-push @p4456 @t222) % 16.21/16.75 (assume-push @p4457 @t215) % 16.21/16.75 (assume-push @p4458 @t228) % 16.21/16.75 (assume-push @p4459 @t212) % 16.21/16.75 (assume-push @p4460 @t131) % 16.21/16.75 (assume-push @p4461 @t219) % 16.21/16.75 (assume-push @p4462 @t210) % 16.21/16.75 (assume-push @p4463 @t105) % 16.21/16.75 (assume-push @p4464 @t274) % 16.21/16.75 (assume-push 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16.21/16.75 (step @p1143 :rule cong :premises (@p1142 @p1141) :args (@t214)) % 16.21/16.75 (step @p1144 :rule trans :premises (@p48 @p1143 @p1139 @p1138 @p1135 @p1134)) % 16.21/16.75 (step @p1145 :rule cong :premises (@p104 @p1144) :args (@t229)) % 16.21/16.75 (step @p1146 :rule symm :premises (@p43)) % 16.21/16.75 (step @p1147 :rule refl :args (tptp.sk_c3)) % 16.21/16.75 (step @p2618 :rule cong :premises (@p4378 @p1147) :args (@t216)) % 16.21/16.75 (step @p2619 :rule trans :premises (@p2618 @p1146)) % 16.21/16.75 (step @p2620 :rule cong :premises (@p104 @p2619) :args (@t217)) % 16.21/16.75 (step @p1151 :rule symm :premises (@p42)) % 16.21/16.75 (step @p1152 :rule cong :premises (@p38 @p1151) :args (@t230)) % 16.21/16.75 (step @p1153 :rule cong :premises (@p92 @p42) :args (@t231)) % 16.21/16.75 (step @p1154 :rule cong :premises (@p33 @p1147) :args (@t209)) % 16.21/16.75 (step @p2621 :rule trans :premises (@p42 @p1154 @p1153 @p1152 @p49 @p2620 @p1145 @p1133 @p1132 @p1131)) % 16.21/16.75 (step @p2622 :rule cong :premises (@p2621) :args (@t15)) % 16.21/16.75 (step @p252 :rule cong :premises (@p92 @p86) :args (@t117)) % 16.21/16.75 (step @p253 :rule cong :premises (@p33 @p89) :args (@t116)) % 16.21/16.75 (step @p1225 :rule cong :premises (@p1224 @p34) :args (@t248)) % 16.21/16.75 (step @p1226 :rule symm :premises (@p51)) % 16.21/16.75 (step @p2623 :rule symm :premises (@p2613)) % 16.21/16.75 (step @p1229 :rule symm :premises (@p41)) % 16.21/16.75 (step @p1230 :rule cong :premises (@p1227 @p1229) :args (@t254)) % 16.21/16.75 (step @p2624 :rule symm :premises (@p2611)) % 16.21/16.75 (step @p90 :rule symm :premises (@p39)) % 16.21/16.75 (step @p91 :rule refl :args (tptp.sk_c6)) % 16.21/16.75 (step @p93 :rule cong :premises (@p92 @p91) :args (@t114)) % 16.21/16.75 (step @p94 :rule cong :premises (@p33 @p90) :args (@t115)) % 16.21/16.75 (step @p1361 :rule cong :premises (@p1146 @p39) :args (@t273)) % 16.21/16.75 (step @p1362 :rule symm :premises (@p46)) % 16.21/16.75 (step @p2625 :rule cong :premises (@p4378 @p4379) :args (@t185)) % 16.21/16.75 (step @p2626 :rule symm :premises (@p2614)) % 16.21/16.75 (step @p2627 :rule trans :premises (@p4380 @p2626)) % 16.21/16.75 (step @p2628 :rule cong :premises (@p2627 @p86) :args (@t10)) % 16.21/16.75 (step @p2629 :rule trans :premises (@p4377 @p2628 @p2625 @p1362 @p1361 @p94 @p93 @p90 @p4381 @p2624 @p55 @p1230 @p2623 @p1226 @p1225 @p253 @p252 @p89 @p4378 @p2622 @p2617)) % 16.21/16.75 (step-pop @p4466 :rule scope :premises (@p2629)) % 16.21/16.75 (step-pop @p4467 :rule scope :premises (@p4466)) % 16.21/16.75 (step-pop @p4468 :rule scope :premises (@p4467)) % 16.21/16.75 (step-pop @p4469 :rule scope :premises (@p4468)) % 16.21/16.75 (step-pop @p4470 :rule scope :premises (@p4469)) % 16.21/16.75 (step-pop @p4471 :rule scope :premises (@p4470)) % 16.21/16.75 (step-pop @p4472 :rule scope :premises (@p4471)) % 16.21/16.75 (step-pop @p4473 :rule scope :premises (@p4472)) % 16.21/16.75 (step-pop @p4474 :rule scope 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:rule scope :premises (@p4489)) % 16.21/16.75 (step @p2630 :rule process_scope :premises (@p4490) :args (@t336)) % 16.21/16.75 (step @p2656 :rule and_intro :premises (@p4380 @p4381 @p44 @p33 @p40 @p54 @p45 @p55 @p41 @p4377 @p51 @p34 @p47 @p38 @p52 @p50 @p48 @p53 @p43 @p4378 @p49 @p42 @p39 @p46 @p4379)) % 16.21/16.75 (step @p2657 :rule modus_ponens :premises (@p2656 @p2630)) % 16.21/16.75 (assume-push @p4491 @t132) % 16.21/16.75 (assume-push @p4492 @t133) % 16.21/16.75 (assume-push @p4493 @t137) % 16.21/16.75 (assume-push @p4494 @t99) % 16.21/16.75 (assume-push @p4495 @t244) % 16.21/16.75 (assume-push @p4496 @t253) % 16.21/16.75 (assume-push @p4497 @t139) % 16.21/16.75 (assume-push @p4498 @t257) % 16.21/16.75 (assume-push @p4499 @t246) % 16.21/16.75 (assume-push @p4500 @t118) % 16.21/16.75 (assume-push @p4501 @t249) % 16.21/16.75 (assume-push @p4502 @t101) % 16.21/16.75 (assume-push @p4503 @t213) % 16.21/16.75 (assume-push @p4504 @t103) % 16.21/16.75 (assume-push @p4505 @t225) % 16.21/16.75 (assume-push @p4506 @t222) % 16.21/16.75 (assume-push @p4507 @t215) % 16.21/16.75 (assume-push @p4508 @t228) % 16.21/16.75 (assume-push @p4509 @t212) % 16.21/16.75 (assume-push @p4510 @t131) % 16.21/16.75 (assume-push @p4511 @t219) % 16.21/16.75 (assume-push @p4512 @t210) % 16.21/16.75 (step @p2680 :rule symm :premises (@p4380)) % 16.21/16.75 (step @p2681 :rule cong :premises (@p2680) :args (@t317)) % 16.21/16.75 (step @p2682 :rule symm :premises (@p4381)) % 16.21/16.75 (step @p1231 :rule refl :args (tptp.sk_c5)) % 16.21/16.75 (step @p257 :rule symm :premises (@p44)) % 16.21/16.75 (step @p264 :rule refl :args (tptp.sk_c4)) % 16.21/16.75 (step @p92 :rule symm :premises (@p33)) % 16.21/16.75 (step @p1605 :rule cong :premises (@p92 @p264) :args (@t141)) % 16.21/16.75 (step @p1606 :rule cong :premises (@p33 @p257) :args (@t140)) % 16.21/16.75 (step @p1224 :rule symm :premises (@p40)) % 16.21/16.75 (step @p1607 :rule cong :premises (@p1224 @p44) :args (@t252)) % 16.21/16.75 (step @p1608 :rule symm :premises (@p54)) % 16.21/16.75 (step @p2683 :rule cong :premises (@p2680 @p264) :args (@t138)) % 16.21/16.75 (step @p2684 :rule trans :premises (@p45 @p2683)) % 16.21/16.75 (step @p1227 :rule refl :args (@t84)) % 16.21/16.75 (step @p2685 :rule cong :premises (@p1227 @p2684) :args (@t255)) % 16.21/16.75 (step @p2686 :rule trans :premises (@p2685 @p1608 @p1607 @p1606 @p1605 @p257)) % 16.21/16.75 (step @p2687 :rule cong :premises (@p2686 @p1231) :args (@t256)) % 16.21/16.75 (step @p1615 :rule symm :premises (@p55)) % 16.21/16.75 (step @p1616 :rule cong :premises (@p1227 @p41) :args (@t259)) % 16.21/16.75 (step @p2688 :rule symm :premises (@p4377)) % 16.21/16.75 (step @p2689 :rule cong :premises (@p1227 @p2688) :args (@t247)) % 16.21/16.75 (step @p89 :rule symm :premises (@p34)) % 16.21/16.75 (step @p1618 :rule cong :premises (@p40 @p89) :args (@t116)) % 16.21/16.75 (step @p101 :rule cong :premises (@p92 @p34) :args (@t117)) % 16.21/16.75 (step @p86 :rule refl :args (tptp.sk_c7)) % 16.21/16.75 (step @p102 :rule cong :premises (@p33 @p86) :args (@t100)) % 16.21/16.75 (step @p2690 :rule trans :premises (@p34 @p102 @p101 @p1618 @p51 @p2689 @p1616 @p1615 @p2687 @p2682 @p4380)) % 16.21/16.75 (step @p2691 :rule cong :premises (@p2690) :args (@t82)) % 16.21/16.75 (step @p2692 :rule trans :premises (@p2691 @p2681)) % 16.21/16.75 (step @p2693 :rule cong :premises (@p2692) :args (@t86)) % 16.21/16.75 (step @p1131 :rule symm :premises (@p47)) % 16.21/16.75 (step @p104 :rule refl :args (@t82)) % 16.21/16.75 (step @p95 :rule symm :premises (@p38)) % 16.21/16.75 (step @p1132 :rule cong :premises (@p95 @p104) :args (@t224)) % 16.21/16.75 (step @p1133 :rule symm :premises (@p52)) % 16.21/16.75 (step @p1134 :rule cong :premises (@p89 @p104) :args (@t221)) % 16.21/16.75 (step @p1135 :rule symm :premises (@p50)) % 16.21/16.75 (step @p1136 :rule refl :args (@t85)) % 16.21/16.75 (step @p1137 :rule symm :premises (@p48)) % 16.21/16.75 (step @p1138 :rule cong :premises (@p1137 @p1136) :args (@t227)) % 16.21/16.75 (step @p1139 :rule symm :premises (@p53)) % 16.21/16.75 (step @p1140 :rule symm :premises (@p1132)) % 16.21/16.75 (step @p1141 :rule trans :premises (@p47 @p1140 @p52)) % 16.21/16.75 (step @p1142 :rule refl :args (@t86)) % 16.21/16.75 (step @p1143 :rule cong :premises (@p1142 @p1141) :args (@t214)) % 16.21/16.75 (step @p1144 :rule trans :premises (@p48 @p1143 @p1139 @p1138 @p1135 @p1134)) % 16.21/16.75 (step @p1145 :rule cong :premises (@p104 @p1144) :args (@t229)) % 16.21/16.75 (step @p1146 :rule symm :premises (@p43)) % 16.21/16.75 (step @p1147 :rule refl :args (tptp.sk_c3)) % 16.21/16.75 (step @p2694 :rule cong :premises (@p4378 @p1147) :args (@t216)) % 16.21/16.75 (step @p2695 :rule trans :premises (@p2694 @p1146)) % 16.21/16.75 (step @p2696 :rule cong :premises (@p104 @p2695) :args (@t217)) % 16.21/16.75 (step @p1151 :rule symm :premises (@p42)) % 16.21/16.75 (step @p1152 :rule cong :premises (@p38 @p1151) :args (@t230)) % 16.21/16.75 (step @p1153 :rule cong :premises (@p92 @p42) :args (@t231)) % 16.21/16.75 (step @p1154 :rule cong :premises (@p33 @p1147) :args (@t209)) % 16.21/16.75 (step @p2697 :rule trans :premises (@p42 @p1154 @p1153 @p1152 @p49 @p2696 @p1145 @p1133 @p1132 @p1131)) % 16.21/16.75 (step @p2698 :rule cong :premises (@p2697) :args (@t15)) % 16.21/16.75 (step @p2699 :rule trans :premises (@p4378 @p2698 @p2693)) % 16.21/16.75 (step-pop @p4513 :rule scope :premises (@p2699)) % 16.21/16.75 (step-pop @p4514 :rule scope :premises (@p4513)) % 16.21/16.75 (step-pop @p4515 :rule scope :premises (@p4514)) % 16.21/16.75 (step-pop @p4516 :rule scope :premises (@p4515)) % 16.21/16.75 (step-pop @p4517 :rule scope :premises (@p4516)) % 16.21/16.75 (step-pop @p4518 :rule scope :premises (@p4517)) % 16.21/16.75 (step-pop @p4519 :rule scope :premises (@p4518)) % 16.21/16.75 (step-pop @p4520 :rule scope :premises (@p4519)) % 16.21/16.75 (step-pop @p4521 :rule scope :premises (@p4520)) % 16.21/16.75 (step-pop @p4522 :rule scope :premises (@p4521)) % 16.21/16.75 (step-pop @p4523 :rule scope :premises (@p4522)) % 16.21/16.75 (step-pop @p4524 :rule scope :premises (@p4523)) % 16.21/16.75 (step-pop @p4525 :rule scope :premises (@p4524)) % 16.21/16.75 (step-pop @p4526 :rule scope :premises (@p4525)) % 16.21/16.75 (step-pop @p4527 :rule scope :premises (@p4526)) % 16.21/16.75 (step-pop @p4528 :rule scope :premises (@p4527)) % 16.21/16.75 (step-pop @p4529 :rule scope :premises (@p4528)) % 16.21/16.75 (step-pop @p4530 :rule scope :premises (@p4529)) % 16.21/16.75 (step-pop @p4531 :rule scope :premises (@p4530)) % 16.21/16.75 (step-pop @p4532 :rule scope :premises (@p4531)) % 16.21/16.75 (step-pop @p4533 :rule scope :premises (@p4532)) % 16.21/16.75 (step-pop @p4534 :rule scope :premises (@p4533)) % 16.21/16.75 (step @p2700 :rule process_scope :premises (@p4534) :args (@t335)) % 16.21/16.75 (step @p2723 :rule and_intro :premises (@p4380 @p4381 @p44 @p33 @p40 @p54 @p45 @p55 @p41 @p4377 @p51 @p34 @p47 @p38 @p52 @p50 @p48 @p53 @p43 @p4378 @p49 @p42)) % 16.21/16.75 (step @p2724 :rule modus_ponens :premises (@p2723 @p2700)) % 16.21/16.75 (step @p2725 :rule and_intro :premises (@p33 @p38 @p4399 @p4395 @p4378 @p2724 @p2657 @p4393 @p4394 @p2578 @p4382)) % 16.21/16.75 (step-pop @p4535 :rule scope :premises (@p2725)) % 16.21/16.75 (step-pop @p4536 :rule scope :premises (@p4535)) % 16.21/16.75 (step-pop @p4537 :rule scope :premises (@p4536)) % 16.21/16.75 (step-pop @p4538 :rule scope :premises (@p4537)) % 16.21/16.75 (step-pop @p4539 :rule scope :premises (@p4538)) % 16.21/16.75 (step-pop @p4540 :rule scope :premises (@p4539)) % 16.21/16.75 (step-pop @p4541 :rule scope :premises (@p4540)) % 16.21/16.75 (step-pop @p4542 :rule scope :premises (@p4541)) % 16.21/16.75 (step-pop @p4543 :rule scope :premises (@p4542)) % 16.21/16.75 (step-pop @p4544 :rule scope :premises (@p4543)) % 16.21/16.75 (step-pop @p4545 :rule scope :premises (@p4544)) % 16.21/16.75 (step-pop @p4546 :rule scope :premises (@p4545)) % 16.21/16.75 (step-pop @p4547 :rule scope :premises (@p4546)) % 16.21/16.75 (step-pop @p4548 :rule scope :premises (@p4547)) % 16.21/16.75 (step-pop @p4549 :rule scope :premises (@p4548)) % 16.21/16.75 (step-pop @p4550 :rule scope :premises (@p4549)) % 16.21/16.75 (step-pop @p4551 :rule scope :premises (@p4550)) % 16.21/16.75 (step-pop @p4552 :rule scope :premises (@p4551)) % 16.21/16.75 (step-pop @p4553 :rule scope :premises (@p4552)) % 16.21/16.75 (step-pop @p4554 :rule scope :premises (@p4553)) % 16.21/16.75 (step-pop @p4555 :rule scope :premises (@p4554)) % 16.21/16.75 (step-pop @p4556 :rule scope :premises (@p4555)) % 16.21/16.75 (step-pop @p4557 :rule scope :premises (@p4556)) % 16.21/16.75 (step-pop @p4558 :rule scope :premises (@p4557)) % 16.21/16.75 (step-pop @p4559 :rule scope :premises (@p4558)) % 16.21/16.75 (step-pop @p4560 :rule scope :premises (@p4559)) % 16.21/16.75 (step-pop @p4561 :rule scope :premises (@p4560)) % 16.21/16.75 (step-pop @p4562 :rule scope :premises (@p4561)) % 16.21/16.75 (step-pop @p4563 :rule scope :premises (@p4562)) % 16.21/16.75 (step-pop @p4564 :rule scope :premises (@p4563)) % 16.21/16.75 (step @p2726 :rule process_scope :premises (@p4564) :args (@t338)) % 16.21/16.75 (step @p2757 :rule implies_elim :premises (@p2726)) % 16.21/16.75 (step @p2758 :rule resolution :premises (@p2757 @p2485) :args (true @t338)) % 16.21/16.75 (step @p2759 :rule not_and :premises (@p2758)) % 16.21/16.75 (step @p2760 :rule eq_resolve :premises (@p2759 @p2454)) % 16.21/16.75 (step @p2761 :rule reordering :premises (@p2760) :args ((or @t97 @t165 @t242 @t279 @t269 @t268 @t126 @t125 @t124 @t123 @t267 @t266 @t241 @t240 @t265 @t264 @t331 @t151 @t278 @t239 @t238 @t309 @t237 @t236 @t263 @t235 @t234 @t262 @t261 @t321))) % 16.21/16.75 (step @p2762 false :rule chain_m_resolution :premises (@p2761 @p2423 @p2403 @p2402 @p2401 @p2400 @p2397 @p2394 @p2391 @p2388 @p2385 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p34 @p33) :args (false (@list 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) (@list @t330 @t276 @t146 @t315 @t133 @t132 @t208 @t131 @t118 @t97 @t257 @t253 @t228 @t225 @t249 @t222 @t219 @t215 @t213 @t274 @t139 @t137 @t212 @t210 @t246 @t244 @t105 @t103 @t101 @t99))) % 16.21/16.75 ) % 16.21/16.75 % SZS output end Proof % 16.21/16.75 % cvc5 exiting %------------------------------------------------------------------------------