%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP380-1 : 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 : n006.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 08:20:38 AM UTC 2026 % Result : Unsatisfiable 29.42s 29.62s % Output : Proof 29.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP380-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 01:02:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.87/16.11 --- Run --no-e-matching --full-saturate-quant at 6... % 21.87/22.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.95/28.16 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.42/29.62 % SZS status Unsatisfiable % 29.42/29.62 % SZS output start Proof % 29.42/29.65 ( % 29.42/29.65 (declare-sort $$unsorted 0) % 29.42/29.65 (declare-const tptp.sk_c1 $$unsorted) % 29.42/29.65 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 29.42/29.65 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 29.42/29.65 (declare-const tptp.identity $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c9 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c11 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c2 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c4 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c8 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c5 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c3 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c6 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c10 $$unsorted) % 29.42/29.65 (declare-const tptp.sk_c7 $$unsorted) % 29.42/29.65 (define @t1 () (@var "X" $$unsorted)) % 29.42/29.65 (define @t2 () (tptp.multiply tptp.identity @t1)) % 29.42/29.65 (define @t3 () (@list @t1)) % 29.42/29.65 (define @t4 () (forall @t3 (= @t2 @t1))) % 29.42/29.65 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 29.42/29.65 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 29.42/29.65 (define @t7 () (@var "Z" $$unsorted)) % 29.42/29.65 (define @t8 () (@var "Y" $$unsorted)) % 29.42/29.65 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 29.42/29.65 (define @t10 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 29.42/29.65 (define @t11 () (= @t10 tptp.sk_c10)) % 29.42/29.65 (define @t12 () (tptp.inverse tptp.sk_c11)) % 29.42/29.65 (define @t13 () (= @t12 tptp.sk_c10)) % 29.42/29.65 (define @t14 () (or @t13 @t11)) % 29.42/29.65 (define @t15 () (tptp.inverse tptp.sk_c3)) % 29.42/29.65 (define @t16 () (= @t15 tptp.sk_c11)) % 29.42/29.65 (define @t17 () (or @t13 @t16)) % 29.42/29.65 (define @t18 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 29.42/29.65 (define @t19 () (= @t18 tptp.sk_c9)) % 29.42/29.65 (define @t20 () (or @t13 @t19)) % 29.42/29.65 (define @t21 () (tptp.inverse tptp.sk_c4)) % 29.42/29.65 (define @t22 () (= @t21 tptp.sk_c10)) % 29.42/29.65 (define @t23 () (or @t13 @t22)) % 29.42/29.65 (define @t24 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 29.42/29.65 (define @t25 () (= @t24 tptp.sk_c11)) % 29.42/29.65 (define @t26 () (or @t13 @t25)) % 29.42/29.65 (define @t27 () (tptp.inverse tptp.sk_c5)) % 29.42/29.65 (define @t28 () (= @t27 tptp.sk_c8)) % 29.42/29.65 (define @t29 () (or @t13 @t28)) % 29.42/29.65 (define @t30 () (tptp.multiply tptp.sk_c8 tptp.sk_c10)) % 29.42/29.65 (define @t31 () (= @t30 tptp.sk_c11)) % 29.42/29.65 (define @t32 () (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) % 29.42/29.65 (define @t33 () (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) % 29.42/29.65 (define @t34 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) % 29.42/29.65 (define @t35 () (tptp.multiply tptp.sk_c10 tptp.sk_c9)) % 29.42/29.65 (define @t36 () (= @t35 tptp.sk_c11)) % 29.42/29.65 (define @t37 () (or @t36 @t11)) % 29.42/29.65 (define @t38 () (or @t36 @t16)) % 29.42/29.65 (define @t39 () (or @t36 @t19)) % 29.42/29.65 (define @t40 () (or @t36 @t22)) % 29.42/29.65 (define @t41 () (or @t36 @t31)) % 29.42/29.65 (define @t42 () (tptp.multiply tptp.sk_c1 tptp.sk_c2)) % 29.42/29.65 (define @t43 () (= @t42 tptp.sk_c10)) % 29.42/29.65 (define @t44 () (or @t43 @t11)) % 29.42/29.65 (define @t45 () (or @t43 @t16)) % 29.42/29.65 (define @t46 () (or @t43 @t19)) % 29.42/29.65 (define @t47 () (or @t43 @t22)) % 29.42/29.65 (define @t48 () (tptp.inverse tptp.sk_c1)) % 29.42/29.65 (define @t49 () (= @t48 tptp.sk_c2)) % 29.42/29.65 (define @t50 () (or @t49 @t11)) % 29.42/29.65 (define @t51 () (or @t49 @t16)) % 29.42/29.65 (define @t52 () (or @t49 @t19)) % 29.42/29.65 (define @t53 () (or @t49 @t22)) % 29.42/29.65 (define @t54 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 29.42/29.65 (define @t55 () (= @t54 tptp.sk_c10)) % 29.42/29.65 (define @t56 () (or @t55 @t11)) % 29.42/29.65 (define @t57 () (or @t55 @t16)) % 29.42/29.65 (define @t58 () (or @t55 @t19)) % 29.42/29.65 (define @t59 () (or @t55 @t22)) % 29.42/29.65 (define @t60 () (@var "X8" $$unsorted)) % 29.42/29.65 (define @t61 () (@var "X6" $$unsorted)) % 29.42/29.65 (define @t62 () (@var "X7" $$unsorted)) % 29.42/29.65 (define @t63 () (tptp.multiply @t62 @t61)) % 29.42/29.65 (define @t64 () (not (= @t63 @t60))) % 29.42/29.65 (define @t65 () (tptp.inverse @t60)) % 29.42/29.65 (define @t66 () (not (= @t65 @t61))) % 29.42/29.65 (define @t67 () (tptp.inverse @t62)) % 29.42/29.65 (define @t68 () (not (= @t67 @t60))) % 29.42/29.65 (define @t69 () (tptp.multiply @t61 tptp.sk_c10)) % 29.42/29.65 (define @t70 () (not (= @t69 tptp.sk_c11))) % 29.42/29.65 (define @t71 () (@var "X5" $$unsorted)) % 29.42/29.65 (define @t72 () (tptp.inverse @t71)) % 29.42/29.65 (define @t73 () (not (= @t72 @t61))) % 29.42/29.65 (define @t74 () (tptp.multiply @t71 @t61)) % 29.42/29.65 (define @t75 () (not (= @t74 tptp.sk_c11))) % 29.42/29.65 (define @t76 () (@var "X2" $$unsorted)) % 29.42/29.65 (define @t77 () (tptp.inverse @t76)) % 29.42/29.65 (define @t78 () (not (= @t77 tptp.sk_c10))) % 29.42/29.65 (define @t79 () (tptp.multiply @t76 tptp.sk_c10)) % 29.42/29.65 (define @t80 () (not (= @t79 tptp.sk_c9))) % 29.42/29.65 (define @t81 () (@var "X1" $$unsorted)) % 29.42/29.65 (define @t82 () (tptp.inverse @t81)) % 29.42/29.65 (define @t83 () (not (= @t82 tptp.sk_c11))) % 29.42/29.65 (define @t84 () (tptp.multiply @t81 tptp.sk_c11)) % 29.42/29.65 (define @t85 () (not (= @t84 tptp.sk_c10))) % 29.42/29.65 (define @t86 () (@var "X4" $$unsorted)) % 29.42/29.65 (define @t87 () (tptp.multiply @t86 tptp.sk_c9)) % 29.42/29.65 (define @t88 () (not (= @t87 tptp.sk_c10))) % 29.42/29.65 (define @t89 () (@var "X3" $$unsorted)) % 29.42/29.65 (define @t90 () (tptp.inverse @t89)) % 29.42/29.65 (define @t91 () (not (= @t90 @t86))) % 29.42/29.65 (define @t92 () (tptp.multiply @t89 @t86)) % 29.42/29.65 (define @t93 () (not (= @t92 tptp.sk_c10))) % 29.42/29.65 (define @t94 () (not @t36)) % 29.42/29.65 (define @t95 () (not @t13)) % 29.42/29.65 (define @t96 () (or @t95 @t94 @t93 @t91 @t88 @t85 @t83 @t80 @t78 @t75 @t73 @t70 @t68 @t66 @t64)) % 29.42/29.65 (define @t97 () (@list @t89 @t86 @t81 @t76 @t71 @t61 @t62 @t60)) % 29.42/29.65 (define @t98 () (forall @t97 @t96)) % 29.42/29.65 (define @t99 () (@list tptp.sk_c10)) % 29.42/29.65 (define @t100 () (tptp.multiply tptp.sk_c11 tptp.sk_c9)) % 29.42/29.65 (define @t101 () (not (= tptp.sk_c10 (tptp.multiply @t90 tptp.sk_c9)))) % 29.42/29.65 (define @t102 () (not (= tptp.sk_c10 (tptp.multiply @t89 @t90)))) % 29.42/29.65 (define @t103 () (or @t102 @t101)) % 29.42/29.65 (define @t104 () (@list @t89)) % 29.42/29.65 (define @t105 () (forall @t104 @t103)) % 29.42/29.65 (define @t106 () (@quantifiers_skolemize @t105 0)) % 29.42/29.65 (define @t107 () (tptp.multiply tptp.sk_c9 tptp.sk_c9)) % 29.42/29.65 (define @t108 () (@list tptp.sk_c3)) % 29.42/29.65 (define @t109 () (@list tptp.sk_c4)) % 29.42/29.65 (define @t110 () (@list tptp.sk_c11)) % 29.42/29.65 (define @t111 () (tptp.inverse tptp.sk_c10)) % 29.42/29.65 (define @t112 () (tptp.multiply @t100 tptp.sk_c9)) % 29.42/29.65 (define @t113 () (tptp.multiply tptp.sk_c11 @t107)) % 29.42/29.65 (define @t114 () (= @t112 @t113)) % 29.42/29.65 (define @t115 () (= @t113 @t112)) % 29.42/29.65 (define @t116 () (@list false)) % 29.42/29.65 (define @t117 () (@list @t9)) % 29.42/29.65 (define @t118 () (= tptp.sk_c10 @t12)) % 29.42/29.65 (define @t119 () (tptp.inverse @t12)) % 29.42/29.65 (define @t120 () (= @t111 @t119)) % 29.42/29.65 (define @t121 () (= tptp.sk_c10 @t54)) % 29.42/29.65 (define @t122 () (= tptp.sk_c10 @t10)) % 29.42/29.65 (define @t123 () (= tptp.sk_c11 @t15)) % 29.42/29.65 (define @t124 () (= tptp.sk_c9 @t18)) % 29.42/29.65 (define @t125 () (= tptp.sk_c10 @t21)) % 29.42/29.65 (define @t126 () (not @t123)) % 29.42/29.65 (define @t127 () (not @t122)) % 29.42/29.65 (define @t128 () (or @t127 @t126)) % 29.42/29.65 (define @t129 () (not @t125)) % 29.42/29.65 (define @t130 () (not @t124)) % 29.42/29.65 (define @t131 () (or @t130 @t129)) % 29.42/29.65 (define @t132 () (not (= tptp.sk_c11 @t82))) % 29.42/29.65 (define @t133 () (not (= tptp.sk_c10 @t84))) % 29.42/29.65 (define @t134 () (or @t133 @t132)) % 29.42/29.65 (define @t135 () (forall (@list @t81) @t134)) % 29.42/29.65 (define @t136 () (not (= tptp.sk_c10 @t77))) % 29.42/29.65 (define @t137 () (not (= tptp.sk_c9 @t79))) % 29.42/29.65 (define @t138 () (or @t137 @t136)) % 29.42/29.65 (define @t139 () (forall (@list @t76) @t138)) % 29.42/29.65 (define @t140 () (= tptp.sk_c11 @t35)) % 29.42/29.65 (define @t141 () (= tptp.sk_c10 @t42)) % 29.42/29.65 (define @t142 () (tptp.multiply @t42 tptp.sk_c9)) % 29.42/29.65 (define @t143 () (tptp.multiply tptp.sk_c3 @t142)) % 29.42/29.65 (define @t144 () (tptp.multiply tptp.sk_c3 @t15)) % 29.42/29.65 (define @t145 () (= tptp.sk_c10 @t144)) % 29.42/29.65 (define @t146 () (and @t122 @t123 @t140 @t141)) % 29.42/29.65 (define @t147 () (not @t141)) % 29.42/29.65 (define @t148 () (not @t140)) % 29.42/29.65 (define @t149 () (tptp.multiply tptp.identity tptp.sk_c10)) % 29.42/29.65 (define @t150 () (= tptp.sk_c10 @t149)) % 29.42/29.65 (define @t151 () (tptp.multiply @t21 tptp.sk_c4)) % 29.42/29.65 (define @t152 () (= tptp.identity @t151)) % 29.42/29.65 (define @t153 () (tptp.multiply tptp.sk_c10 @t18)) % 29.42/29.65 (define @t154 () (tptp.multiply tptp.sk_c10 tptp.sk_c4)) % 29.42/29.65 (define @t155 () (tptp.multiply @t154 tptp.sk_c10)) % 29.42/29.65 (define @t156 () (= @t155 @t153)) % 29.42/29.65 (define @t157 () (= @t15 @t144)) % 29.42/29.65 (define @t158 () (= tptp.sk_c11 @t144)) % 29.42/29.65 (define @t159 () (and @t122 @t123 @t124 @t125 @t140 @t141 @t150 @t152 @t156)) % 29.42/29.65 (define @t160 () (not @t156)) % 29.42/29.65 (define @t161 () (not @t152)) % 29.42/29.65 (define @t162 () (not @t150)) % 29.42/29.65 (define @t163 () (tptp.multiply @t142 @t143)) % 29.42/29.65 (define @t164 () (= (tptp.multiply (tptp.multiply @t142 tptp.sk_c3) @t142) @t163)) % 29.42/29.65 (define @t165 () (tptp.multiply @t15 tptp.sk_c3)) % 29.42/29.65 (define @t166 () (= tptp.identity @t165)) % 29.42/29.65 (define @t167 () (tptp.multiply @t15 tptp.sk_c10)) % 29.42/29.65 (define @t168 () (= tptp.sk_c11 @t167)) % 29.42/29.65 (define @t169 () (and @t122 @t123 @t124 @t125 @t140 @t141 @t150 @t164 @t166 @t152 @t156)) % 29.42/29.65 (define @t170 () (not @t166)) % 29.42/29.65 (define @t171 () (not @t164)) % 29.42/29.65 (define @t172 () (= @t12 (tptp.multiply tptp.sk_c11 @t15))) % 29.42/29.65 (define @t173 () (and @t118 @t122 @t123 @t124 @t125 @t140 @t141 @t150 @t164 @t166 @t152 @t156)) % 29.42/29.65 (define @t174 () (not @t118)) % 29.42/29.65 (define @t175 () (= @t15 @t119)) % 29.42/29.65 (define @t176 () (and @t118 @t123 @t124 @t125 @t140 @t150 @t152 @t156)) % 29.42/29.65 (define @t177 () (tptp.multiply @t10 tptp.sk_c9)) % 29.42/29.65 (define @t178 () (= tptp.sk_c10 (tptp.multiply @t15 tptp.sk_c9))) % 29.42/29.65 (define @t179 () (not @t172)) % 29.42/29.65 (define @t180 () (not @t175)) % 29.42/29.65 (define @t181 () (not @t168)) % 29.42/29.65 (define @t182 () (not @t158)) % 29.42/29.65 (define @t183 () (or @t182 @t181 @t180 @t179)) % 29.42/29.65 (define @t184 () (not @t178)) % 29.42/29.65 (define @t185 () (not @t145)) % 29.42/29.65 (define @t186 () (or @t185 @t184)) % 29.42/29.65 (define @t187 () (tptp.multiply @t62 @t72)) % 29.42/29.65 (define @t188 () (not (= @t67 @t187))) % 29.42/29.65 (define @t189 () (not (= @t72 (tptp.inverse @t67)))) % 29.42/29.65 (define @t190 () (not (= tptp.sk_c11 (tptp.multiply @t72 tptp.sk_c10)))) % 29.42/29.65 (define @t191 () (not (= tptp.sk_c11 (tptp.multiply @t71 @t72)))) % 29.42/29.65 (define @t192 () (or @t191 @t190 @t189 @t188)) % 29.42/29.65 (define @t193 () (@list @t71 @t62)) % 29.42/29.65 (define @t194 () (forall @t193 @t192)) % 29.42/29.65 (define @t195 () (not (= @t67 @t67))) % 29.42/29.65 (define @t196 () (or @t191 @t190 @t195 @t189 @t188)) % 29.42/29.65 (define @t197 () (not (= @t60 @t187))) % 29.42/29.65 (define @t198 () (not (= @t72 @t65))) % 29.42/29.65 (define @t199 () (not (= @t60 @t67))) % 29.42/29.65 (define @t200 () (or @t199 @t191 @t190 @t199 @t198 @t197)) % 29.42/29.65 (define @t201 () (@list @t60)) % 29.42/29.65 (define @t202 () (or @t191 @t190 @t199 @t198 @t197)) % 29.42/29.65 (define @t203 () (forall @t201 @t202)) % 29.42/29.65 (define @t204 () (forall @t193 @t203)) % 29.42/29.65 (define @t205 () (@list @t71 @t62 @t60)) % 29.42/29.65 (define @t206 () (not (= @t72 @t72))) % 29.42/29.65 (define @t207 () (or @t191 @t206 @t190 @t199 @t198 @t197)) % 29.42/29.65 (define @t208 () (not (= @t60 @t63))) % 29.42/29.65 (define @t209 () (not (= @t61 @t65))) % 29.42/29.65 (define @t210 () (not (= tptp.sk_c11 @t69))) % 29.42/29.65 (define @t211 () (not (= @t61 @t72))) % 29.42/29.65 (define @t212 () (not (= tptp.sk_c11 @t74))) % 29.42/29.65 (define @t213 () (or @t211 @t212 @t211 @t210 @t199 @t209 @t208)) % 29.42/29.65 (define @t214 () (@list @t61)) % 29.42/29.65 (define @t215 () (or @t212 @t211 @t210 @t199 @t209 @t208)) % 29.42/29.65 (define @t216 () (forall @t214 @t215)) % 29.42/29.65 (define @t217 () (forall @t205 @t216)) % 29.42/29.65 (define @t218 () (forall (@list @t71 @t62 @t60 @t61) @t215)) % 29.42/29.65 (define @t219 () (forall (@list @t71 @t61 @t62 @t60) @t215)) % 29.42/29.65 (define @t220 () (not (= @t90 @t90))) % 29.42/29.65 (define @t221 () (or @t102 @t220 @t101)) % 29.42/29.65 (define @t222 () (not (= tptp.sk_c10 @t87))) % 29.42/29.65 (define @t223 () (not (= @t86 @t90))) % 29.42/29.65 (define @t224 () (not (= tptp.sk_c10 @t92))) % 29.42/29.65 (define @t225 () (or @t223 @t224 @t223 @t222)) % 29.42/29.65 (define @t226 () (@list @t86)) % 29.42/29.65 (define @t227 () (or @t224 @t223 @t222)) % 29.42/29.65 (define @t228 () (forall @t226 @t227)) % 29.42/29.65 (define @t229 () (forall @t104 @t228)) % 29.42/29.65 (define @t230 () (forall (@list @t89 @t86) @t227)) % 29.42/29.65 (define @t231 () (or @t174 @t148 @t230 @t135 @t139 @t219)) % 29.42/29.65 (define @t232 () (or @t174 @t148 @t227 @t134 @t138 @t215)) % 29.42/29.65 (define @t233 () (or @t174 @t148 @t224 @t223 @t222 @t133 @t132 @t137 @t136 @t212 @t211 @t210 @t199 @t209 @t208)) % 29.42/29.65 (define @t234 () (= tptp.sk_c2 @t48)) % 29.42/29.65 (define @t235 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 @t48))) % 29.42/29.65 (define @t236 () (and @t141 @t234)) % 29.42/29.65 (define @t237 () (= tptp.sk_c10 (tptp.multiply @t48 tptp.sk_c9))) % 29.42/29.65 (define @t238 () (and @t234 @t121)) % 29.42/29.65 (define @t239 () (not @t237)) % 29.42/29.65 (define @t240 () (not @t235)) % 29.42/29.65 (define @t241 () (or @t240 @t239)) % 29.42/29.65 (define @t242 () (@list tptp.sk_c1)) % 29.42/29.65 (define @t243 () (not @t105)) % 29.42/29.65 (define @t244 () (not @t121)) % 29.42/29.65 (define @t245 () (not @t234)) % 29.42/29.65 (define @t246 () (tptp.inverse @t106)) % 29.42/29.65 (define @t247 () (tptp.multiply @t246 tptp.sk_c9)) % 29.42/29.65 (define @t248 () (= tptp.sk_c10 @t247)) % 29.42/29.65 (define @t249 () (not @t248)) % 29.42/29.65 (define @t250 () (tptp.multiply @t106 @t246)) % 29.42/29.65 (define @t251 () (= tptp.sk_c10 @t250)) % 29.42/29.65 (define @t252 () (not @t251)) % 29.42/29.65 (define @t253 () (or @t252 @t249)) % 29.42/29.65 (define @t254 () (not @t253)) % 29.42/29.65 (define @t255 () (tptp.multiply @t246 tptp.sk_c11)) % 29.42/29.65 (define @t256 () (tptp.multiply @t247 tptp.sk_c9)) % 29.42/29.65 (define @t257 () (tptp.multiply @t246 @t107)) % 29.42/29.65 (define @t258 () (= @t256 @t257)) % 29.42/29.65 (define @t259 () (= @t257 @t256)) % 29.42/29.65 (define @t260 () (tptp.multiply tptp.sk_c10 @t107)) % 29.42/29.65 (define @t261 () (tptp.multiply @t35 tptp.sk_c9)) % 29.42/29.65 (define @t262 () (= @t261 @t260)) % 29.42/29.65 (define @t263 () (tptp.multiply @t106 @t255)) % 29.42/29.65 (define @t264 () (tptp.multiply @t250 tptp.sk_c11)) % 29.42/29.65 (define @t265 () (= @t264 @t263)) % 29.42/29.65 (define @t266 () (tptp.multiply @t12 tptp.sk_c11)) % 29.42/29.65 (define @t267 () (= tptp.identity @t266)) % 29.42/29.65 (define @t268 () (tptp.multiply @t246 @t106)) % 29.42/29.65 (define @t269 () (= tptp.identity @t268)) % 29.42/29.65 (define @t270 () (tptp.multiply @t246 @t100)) % 29.42/29.65 (define @t271 () (tptp.multiply @t255 tptp.sk_c9)) % 29.42/29.65 (define @t272 () (= @t271 @t270)) % 29.42/29.65 (define @t273 () (tptp.multiply @t263 tptp.sk_c9)) % 29.42/29.65 (define @t274 () (= @t273 (tptp.multiply @t106 @t271))) % 29.42/29.65 (define @t275 () (tptp.multiply @t106 tptp.sk_c10)) % 29.42/29.65 (define @t276 () (tptp.multiply @t246 @t275)) % 29.42/29.65 (define @t277 () (= (tptp.multiply @t268 tptp.sk_c10) @t276)) % 29.42/29.65 (define @t278 () (tptp.multiply @t106 @t257)) % 29.42/29.65 (define @t279 () (tptp.multiply @t250 @t107)) % 29.42/29.65 (define @t280 () (= @t279 @t278)) % 29.42/29.65 (define @t281 () (tptp.multiply @t250 tptp.sk_c9)) % 29.42/29.65 (define @t282 () (= @t281 (tptp.multiply @t106 @t247))) % 29.42/29.65 (define @t283 () (tptp.multiply @t246 @t35)) % 29.42/29.65 (define @t284 () (tptp.multiply @t246 tptp.sk_c10)) % 29.42/29.65 (define @t285 () (tptp.multiply @t284 tptp.sk_c9)) % 29.42/29.65 (define @t286 () (= @t285 @t283)) % 29.42/29.65 (define @t287 () (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) % 29.42/29.65 (define @t288 () (tptp.multiply @t268 tptp.sk_c9)) % 29.42/29.65 (define @t289 () (tptp.multiply tptp.sk_c10 tptp.sk_c11)) % 29.42/29.65 (define @t290 () (tptp.multiply @t106 @t285)) % 29.42/29.65 (define @t291 () (tptp.multiply @t106 @t142)) % 29.42/29.65 (define @t292 () (= tptp.sk_c11 tptp.sk_c10)) % 29.42/29.65 (define @t293 () (and @t118 @t140 @t141 @t251 @t248 @t262 @t265 @t150 @t267 @t269 @t272 @t274 @t277 @t280 @t282 @t259 @t286 @t287)) % 29.42/29.65 (define @t294 () (not @t287)) % 29.42/29.65 (define @t295 () (not @t286)) % 29.42/29.65 (define @t296 () (not @t259)) % 29.42/29.65 (define @t297 () (not @t282)) % 29.42/29.65 (define @t298 () (not @t280)) % 29.42/29.65 (define @t299 () (not @t277)) % 29.42/29.65 (define @t300 () (not @t274)) % 29.42/29.65 (define @t301 () (not @t272)) % 29.42/29.65 (define @t302 () (not @t269)) % 29.42/29.65 (define @t303 () (not @t267)) % 29.42/29.65 (define @t304 () (not @t265)) % 29.42/29.65 (define @t305 () (not @t262)) % 29.42/29.65 (define @t306 () (= tptp.sk_c10 tptp.sk_c2)) % 29.42/29.65 (define @t307 () (= tptp.sk_c11 @t48)) % 29.42/29.65 (define @t308 () (and @t234 @t292 @t306)) % 29.42/29.65 (define @t309 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 29.42/29.65 (define @t310 () (= tptp.sk_c10 @t309)) % 29.42/29.65 (define @t311 () (and @t141 @t292 @t306)) % 29.42/29.65 (define @t312 () (not @t307)) % 29.42/29.65 (define @t313 () (not @t310)) % 29.42/29.65 (define @t314 () (or @t313 @t312)) % 29.42/29.65 (define @t315 () (not @t314)) % 29.42/29.65 (define @t316 () (not @t306)) % 29.42/29.65 (define @t317 () (not @t292)) % 29.42/29.65 (define @t318 () (tptp.multiply tptp.sk_c11 tptp.sk_c11)) % 29.42/29.65 (define @t319 () (= @t142 (tptp.multiply tptp.sk_c1 @t54))) % 29.42/29.65 (define @t320 () (not @t319)) % 29.42/29.65 (define @t321 () (tptp.multiply tptp.sk_c1 @t318)) % 29.42/29.65 (define @t322 () (tptp.multiply @t321 tptp.sk_c2)) % 29.42/29.65 (define @t323 () (= @t322 (tptp.multiply tptp.sk_c1 (tptp.multiply @t318 tptp.sk_c2)))) % 29.42/29.65 (define @t324 () (not @t323)) % 29.42/29.65 (define @t325 () (tptp.multiply @t309 tptp.sk_c11)) % 29.42/29.65 (define @t326 () (= @t325 @t321)) % 29.42/29.65 (define @t327 () (not @t326)) % 29.42/29.65 (define @t328 () (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) % 29.42/29.65 (define @t329 () (not @t328)) % 29.42/29.65 (define @t330 () (tptp.multiply @t111 tptp.sk_c10)) % 29.42/29.65 (define @t331 () (= tptp.identity @t330)) % 29.42/29.65 (define @t332 () (not @t331)) % 29.42/29.65 (define @t333 () (= false true)) % 29.42/29.65 (define @t334 () (tptp.multiply @t247 tptp.sk_c11)) % 29.42/29.65 (define @t335 () (and @t150 @t292 @t307 @t234 @t316)) % 29.42/29.65 (define @t336 () (= tptp.sk_c10 @t111)) % 29.42/29.65 (define @t337 () (tptp.multiply tptp.sk_c10 tptp.sk_c10)) % 29.42/29.65 (define @t338 () (= tptp.sk_c9 @t337)) % 29.42/29.65 (define @t339 () (not @t336)) % 29.42/29.65 (define @t340 () (not @t338)) % 29.42/29.65 (define @t341 () (or @t340 @t339)) % 29.42/29.65 (define @t342 () (not @t341)) % 29.42/29.65 (define @t343 () (= @t12 (tptp.multiply tptp.sk_c11 @t111))) % 29.42/29.65 (define @t344 () (not @t343)) % 29.42/29.65 (define @t345 () (not @t120)) % 29.42/29.65 (define @t346 () (= tptp.sk_c11 @t330)) % 29.42/29.65 (define @t347 () (not @t346)) % 29.42/29.65 (define @t348 () (tptp.multiply tptp.sk_c10 @t111)) % 29.42/29.65 (define @t349 () (= tptp.sk_c11 @t348)) % 29.42/29.65 (define @t350 () (not @t349)) % 29.42/29.65 (define @t351 () (or @t350 @t347 @t345 @t344)) % 29.42/29.65 (define @t352 () (tptp.multiply tptp.sk_c10 @t100)) % 29.42/29.65 (define @t353 () (tptp.multiply tptp.identity @t352)) % 29.42/29.65 (define @t354 () (tptp.multiply @t149 @t100)) % 29.42/29.65 (define @t355 () (= @t354 @t353)) % 29.42/29.65 (define @t356 () (tptp.multiply @t268 @t352)) % 29.42/29.65 (define @t357 () (and @t118 @t140 @t141 @t251 @t248 @t262 @t265 @t150 @t267 @t355 @t269 @t272 @t274 @t277 @t280 @t282 @t259 @t286 @t287)) % 29.42/29.65 (define @t358 () (and @t118 @t140 @t251 @t248 @t265 @t150 @t331 @t267 @t269 @t277 @t282 @t286)) % 29.42/29.65 (define @t359 () (and @t122 @t123)) % 29.42/29.65 (define @t360 () (and @t123 @t124 @t125 @t140 @t150 @t152 @t156)) % 29.42/29.65 (define @t361 () (tptp.multiply @t261 tptp.sk_c11)) % 29.42/29.65 (define @t362 () (tptp.multiply tptp.sk_c9 tptp.sk_c11)) % 29.42/29.65 (define @t363 () (tptp.multiply @t35 @t362)) % 29.42/29.65 (define @t364 () (= @t361 @t363)) % 29.42/29.65 (define @t365 () (@list @t35 tptp.sk_c9 tptp.sk_c11)) % 29.42/29.65 (define @t366 () (= @t363 @t361)) % 29.42/29.65 (define @t367 () (tptp.multiply tptp.sk_c3 @t100)) % 29.42/29.65 (define @t368 () (= @t177 @t367)) % 29.42/29.65 (define @t369 () (tptp.multiply tptp.sk_c4 @t35)) % 29.42/29.65 (define @t370 () (tptp.multiply @t18 tptp.sk_c9)) % 29.42/29.65 (define @t371 () (= @t370 @t369)) % 29.42/29.65 (define @t372 () (tptp.multiply @t111 @t337)) % 29.42/29.65 (define @t373 () (tptp.multiply @t330 tptp.sk_c10)) % 29.42/29.65 (define @t374 () (= @t373 @t372)) % 29.42/29.65 (define @t375 () (tptp.multiply @t260 @t35)) % 29.42/29.65 (define @t376 () (tptp.multiply @t260 tptp.sk_c10)) % 29.42/29.65 (define @t377 () (tptp.multiply @t376 tptp.sk_c9)) % 29.42/29.65 (define @t378 () (= @t377 @t375)) % 29.42/29.65 (define @t379 () (tptp.multiply @t246 @t318)) % 29.42/29.65 (define @t380 () (tptp.multiply @t379 tptp.sk_c10)) % 29.42/29.65 (define @t381 () (= @t380 (tptp.multiply @t246 (tptp.multiply @t318 tptp.sk_c10)))) % 29.42/29.65 (define @t382 () (tptp.multiply tptp.sk_c10 @t362)) % 29.42/29.65 (define @t383 () (tptp.multiply @t35 tptp.sk_c11)) % 29.42/29.65 (define @t384 () (= @t383 @t382)) % 29.42/29.65 (define @t385 () (tptp.multiply @t318 tptp.sk_c9)) % 29.42/29.65 (define @t386 () (tptp.multiply @t246 @t385)) % 29.42/29.65 (define @t387 () (tptp.multiply tptp.sk_c11 @t337)) % 29.42/29.65 (define @t388 () (and @t118 @t122 @t123 @t124 @t125 @t140 @t251 @t248 @t262 @t368 @t150 @t331 @t267 @t371 @t269 @t374 @t277 @t378 @t280 @t366 @t381 @t384 @t287 @t152 @t156)) % 29.42/29.65 (define @t389 () (not @t384)) % 29.42/29.65 (define @t390 () (not @t381)) % 29.42/29.65 (define @t391 () (not @t366)) % 29.42/29.65 (define @t392 () (not @t378)) % 29.42/29.65 (define @t393 () (not @t374)) % 29.42/29.65 (define @t394 () (not @t371)) % 29.42/29.65 (define @t395 () (not @t368)) % 29.42/29.65 (define @t396 () (forall @t3 (= tptp.identity @t5))) % 29.42/29.65 (define @t397 () (forall @t3 (= @t1 @t2))) % 29.42/29.65 (define @t398 () (not @t157)) % 29.42/29.65 (define @t399 () (and @t122 @t123 @t124 @t125 @t148 @t150 @t152 @t156)) % 29.42/29.65 (define @t400 () (= tptp.sk_c11 @t30)) % 29.42/29.65 (define @t401 () (tptp.multiply @t246 @t362)) % 29.42/29.65 (define @t402 () (= @t334 @t401)) % 29.42/29.65 (define @t403 () (tptp.multiply @t250 tptp.sk_c10)) % 29.42/29.65 (define @t404 () (= @t403 (tptp.multiply @t106 @t284))) % 29.42/29.65 (define @t405 () (tptp.multiply tptp.sk_c4 @t289)) % 29.42/29.65 (define @t406 () (tptp.multiply @t18 tptp.sk_c11)) % 29.42/29.65 (define @t407 () (= @t406 @t405)) % 29.42/29.65 (define @t408 () (tptp.multiply @t30 @t100)) % 29.42/29.65 (define @t409 () (= @t408 (tptp.multiply tptp.sk_c8 @t352))) % 29.42/29.65 (define @t410 () (tptp.multiply tptp.sk_c9 @t100)) % 29.42/29.65 (define @t411 () (= (tptp.multiply @t362 tptp.sk_c9) @t410)) % 29.42/29.65 (define @t412 () (tptp.multiply @t15 @t10)) % 29.42/29.65 (define @t413 () (tptp.multiply @t165 tptp.sk_c11)) % 29.42/29.65 (define @t414 () (= @t413 @t412)) % 29.42/29.65 (define @t415 () (tptp.multiply tptp.sk_c11 @t362)) % 29.42/29.65 (define @t416 () (and @t118 @t122 @t123 @t124 @t125 @t400 @t251 @t248 @t402 @t150 @t331 @t404 @t267 @t371 @t407 @t409 @t269 @t374 @t277 @t280 @t411 @t286 @t287 @t166 @t152 @t156 @t414)) % 29.42/29.65 (define @t417 () (not @t414)) % 29.42/29.65 (define @t418 () (not @t407)) % 29.42/29.65 (define @t419 () (= tptp.sk_c10 tptp.sk_c9)) % 29.42/29.65 (define @t420 () (tptp.multiply @t260 tptp.sk_c9)) % 29.42/29.65 (define @t421 () (= @t420 (tptp.multiply tptp.sk_c10 (tptp.multiply @t107 tptp.sk_c9)))) % 29.42/29.65 (define @t422 () (tptp.multiply tptp.sk_c11 tptp.sk_c10)) % 29.42/29.65 (define @t423 () (tptp.multiply @t367 tptp.sk_c9)) % 29.42/29.65 (define @t424 () (and @t118 @t122 @t123 @t124 @t125 @t419 @t262 @t368 @t150 @t331 @t267 @t371 @t374 @t421 @t166 @t152 @t156 @t414)) % 29.42/29.65 (define @t425 () (tptp.multiply tptp.identity tptp.sk_c4)) % 29.42/29.65 (define @t426 () (= tptp.sk_c4 @t425)) % 29.42/29.65 (define @t427 () (tptp.multiply @t362 tptp.sk_c10)) % 29.42/29.65 (define @t428 () (= @t427 (tptp.multiply tptp.sk_c9 @t422))) % 29.42/29.65 (define @t429 () (tptp.multiply tptp.identity tptp.sk_c11)) % 29.42/29.65 (define @t430 () (= tptp.sk_c11 @t429)) % 29.42/29.65 (define @t431 () (tptp.multiply @t425 @t289)) % 29.42/29.65 (define @t432 () (= @t431 (tptp.multiply tptp.identity @t405))) % 29.42/29.65 (define @t433 () (tptp.multiply tptp.sk_c4 @t382)) % 29.42/29.65 (define @t434 () (= (tptp.multiply @t18 @t362) @t433)) % 29.42/29.65 (define @t435 () (tptp.multiply @t111 @t260)) % 29.42/29.65 (define @t436 () (tptp.multiply @t330 @t107)) % 29.42/29.65 (define @t437 () (= @t436 @t435)) % 29.42/29.65 (define @t438 () (tptp.multiply @t289 tptp.sk_c10)) % 29.42/29.65 (define @t439 () (tptp.multiply tptp.sk_c4 @t438)) % 29.42/29.65 (define @t440 () (tptp.multiply @t405 tptp.sk_c10)) % 29.42/29.65 (define @t441 () (= @t440 @t439)) % 29.42/29.65 (define @t442 () (tptp.multiply @t10 @t107)) % 29.42/29.65 (define @t443 () (and @t118 @t122 @t123 @t124 @t125 @t150 @t331 @t267 @t407 @t384 @t166 @t152 @t426 @t156 @t414 @t428 @t430 @t432 @t434 @t437 @t441)) % 29.42/29.65 (define @t444 () (not @t437)) % 29.42/29.65 (define @t445 () (not @t430)) % 29.42/29.65 (define @t446 () (not @t428)) % 29.42/29.65 (define @t447 () (not @t426)) % 29.42/29.65 (define @t448 () (@list true)) % 29.42/29.65 (define @t449 () (@list @t118)) % 29.42/29.65 (define @t450 () (= tptp.sk_c11 @t24)) % 29.42/29.65 (define @t451 () (= tptp.sk_c8 @t27)) % 29.42/29.65 (define @t452 () (tptp.multiply tptp.sk_c3 @t113)) % 29.42/29.65 (define @t453 () (= @t442 @t452)) % 29.42/29.65 (define @t454 () (= @t423 (tptp.multiply tptp.sk_c3 @t112))) % 29.42/29.65 (define @t455 () (tptp.multiply tptp.identity @t100)) % 29.42/29.65 (define @t456 () (= @t100 @t455)) % 29.42/29.65 (define @t457 () (tptp.multiply @t15 @t367)) % 29.42/29.65 (define @t458 () (= (tptp.multiply @t165 @t100) @t457)) % 29.42/29.65 (define @t459 () (tptp.multiply tptp.sk_c11 @t100)) % 29.42/29.65 (define @t460 () (and @t122 @t123 @t124 @t125 @t292 @t262 @t368 @t150 @t331 @t371 @t407 @t269 @t374 @t287 @t453 @t454 @t166 @t152 @t426 @t156 @t414 @t428 @t456 @t430 @t458 @t437 @t115)) % 29.42/29.65 (define @t461 () (not @t115)) % 29.42/29.65 (define @t462 () (not @t458)) % 29.42/29.65 (define @t463 () (not @t456)) % 29.42/29.65 (define @t464 () (not @t454)) % 29.42/29.65 (define @t465 () (not @t453)) % 29.42/29.65 (define @t466 () (tptp.multiply tptp.sk_c3 tptp.sk_c10)) % 29.42/29.65 (define @t467 () (tptp.multiply tptp.sk_c11 @t466)) % 29.42/29.65 (define @t468 () (tptp.multiply tptp.sk_c11 @t467)) % 29.42/29.65 (define @t469 () (tptp.multiply @t318 @t466)) % 29.42/29.65 (define @t470 () (= @t469 @t468)) % 29.42/29.65 (define @t471 () (not @t470)) % 29.42/29.65 (define @t472 () (tptp.multiply @t27 tptp.sk_c5)) % 29.42/29.65 (define @t473 () (tptp.multiply @t472 tptp.sk_c8)) % 29.42/29.65 (define @t474 () (= @t473 (tptp.multiply @t27 @t24))) % 29.42/29.65 (define @t475 () (not @t474)) % 29.42/29.65 (define @t476 () (= tptp.identity @t472)) % 29.42/29.65 (define @t477 () (not @t476)) % 29.42/29.65 (define @t478 () (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) % 29.42/29.65 (define @t479 () (not @t478)) % 29.42/29.65 (define @t480 () (tptp.multiply @t165 tptp.sk_c10)) % 29.42/29.65 (define @t481 () (= @t480 (tptp.multiply @t15 @t466))) % 29.42/29.65 (define @t482 () (not @t481)) % 29.42/29.65 (define @t483 () (tptp.multiply tptp.sk_c8 @t100)) % 29.42/29.65 (define @t484 () (tptp.multiply tptp.sk_c5 @t483)) % 29.42/29.65 (define @t485 () (= (tptp.multiply @t24 @t100) @t484)) % 29.42/29.65 (define @t486 () (not @t485)) % 29.42/29.65 (define @t487 () (not @t451)) % 29.42/29.65 (define @t488 () (not @t450)) % 29.42/29.65 (define @t489 () (= @t468 @t469)) % 29.42/29.65 (define @t490 () (and @t470 @t471)) % 29.42/29.65 (assume @p1 @t4) % 29.42/29.65 (assume @p2 @t6) % 29.42/29.65 (assume @p3 @t9) % 29.42/29.65 (assume @p4 @t14) % 29.42/29.65 (assume @p5 @t17) % 29.42/29.65 (assume @p6 @t20) % 29.42/29.65 (assume @p7 @t23) % 29.42/29.65 (assume @p8 @t26) % 29.42/29.65 (assume @p9 @t29) % 29.42/29.65 (assume @p10 (or @t13 @t31)) % 29.42/29.65 (assume @p11 (or @t13 @t32)) % 29.42/29.65 (assume @p12 (or @t13 @t33)) % 29.42/29.65 (assume @p13 (or @t13 @t34)) % 29.42/29.65 (assume @p14 @t37) % 29.42/29.65 (assume @p15 @t38) % 29.42/29.65 (assume @p16 @t39) % 29.42/29.65 (assume @p17 @t40) % 29.42/29.65 (assume @p18 (or @t36 @t25)) % 29.42/29.65 (assume @p19 (or @t36 @t28)) % 29.42/29.65 (assume @p20 @t41) % 29.42/29.65 (assume @p21 (or @t36 @t32)) % 29.42/29.65 (assume @p22 (or @t36 @t33)) % 29.42/29.65 (assume @p23 (or @t36 @t34)) % 29.42/29.65 (assume @p24 @t44) % 29.42/29.65 (assume @p25 @t45) % 29.42/29.65 (assume @p26 @t46) % 29.42/29.65 (assume @p27 @t47) % 29.42/29.65 (assume @p28 (or @t43 @t25)) % 29.42/29.65 (assume @p29 (or @t43 @t28)) % 29.42/29.65 (assume @p30 (or @t43 @t31)) % 29.42/29.65 (assume @p31 (or @t43 @t32)) % 29.42/29.65 (assume @p32 (or @t43 @t33)) % 29.42/29.65 (assume @p33 (or @t43 @t34)) % 29.42/29.65 (assume @p34 @t50) % 29.42/29.65 (assume @p35 @t51) % 29.42/29.65 (assume @p36 @t52) % 29.42/29.65 (assume @p37 @t53) % 29.42/29.65 (assume @p38 (or @t49 @t25)) % 29.42/29.65 (assume @p39 (or @t49 @t28)) % 29.42/29.65 (assume @p40 (or @t49 @t31)) % 29.42/29.65 (assume @p41 (or @t49 @t32)) % 29.42/29.65 (assume @p42 (or @t49 @t33)) % 29.42/29.65 (assume @p43 (or @t49 @t34)) % 29.42/29.65 (assume @p44 @t56) % 29.42/29.65 (assume @p45 @t57) % 29.42/29.65 (assume @p46 @t58) % 29.42/29.65 (assume @p47 @t59) % 29.42/29.65 (assume @p48 (or @t55 @t25)) % 29.42/29.65 (assume @p49 (or @t55 @t28)) % 29.42/29.65 (assume @p50 (or @t55 @t31)) % 29.42/29.65 (assume @p51 (or @t55 @t32)) % 29.42/29.65 (assume @p52 (or @t55 @t33)) % 29.42/29.65 (assume @p53 (or @t55 @t34)) % 29.42/29.65 (assume @p54 @t98) % 29.42/29.65 (step @p55 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c3 tptp.sk_c11 tptp.sk_c9))) % 29.42/29.65 (step @p56 :rule eq-symm :args (@t2 @t1)) % 29.42/29.65 (step @p57 :rule cong :premises (@p56) :args (@t4)) % 29.42/29.65 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 29.42/29.65 (step @p59 :rule instantiate :premises (@p58) :args (@t99)) % 29.42/29.65 (step @p60 :rule eq-symm :args (@t5 tptp.identity)) % 29.42/29.65 (step @p61 :rule cong :premises (@p60) :args (@t6)) % 29.42/29.65 (step @p62 :rule eq_resolve :premises (@p2 @p61)) % 29.42/29.65 (step @p63 :rule instantiate :premises (@p62) :args (@t99)) % 29.42/29.65 (step @p64 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 tptp.sk_c10 tptp.sk_c9))) % 29.42/29.65 (step @p65 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 tptp.sk_c10 tptp.sk_c11))) % 29.42/29.65 (step @p66 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c5 tptp.sk_c8 @t100))) % 29.42/29.65 (step @p67 :rule instantiate :premises (@p62) :args ((@list @t106))) % 29.42/29.65 (step @p68 :rule instantiate :premises (@p58) :args ((@list tptp.sk_c9))) % 29.42/29.65 (step @p69 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c3 tptp.sk_c11 @t107))) % 29.42/29.65 (step @p70 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c3 @t100 tptp.sk_c9))) % 29.42/29.65 (step @p71 :rule instantiate :premises (@p62) :args (@t108)) % 29.42/29.65 (step @p72 :rule instantiate :premises (@p62) :args (@t109)) % 29.42/29.65 (step @p73 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c10 tptp.sk_c4 tptp.sk_c10))) % 29.42/29.65 (step @p74 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c3 tptp.sk_c10))) % 29.42/29.65 (step @p75 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c3 tptp.sk_c11))) % 29.42/29.65 (step @p76 :rule instantiate :premises (@p58) :args ((@list tptp.sk_c8))) % 29.42/29.65 (step @p77 :rule instantiate :premises (@p58) :args ((@list @t100))) % 29.42/29.65 (step @p78 :rule instantiate :premises (@p58) :args (@t110)) % 29.42/29.65 (step @p79 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c3 @t100))) % 29.42/29.65 (step @p80 :rule instantiate :premises (@p3) :args ((@list @t111 tptp.sk_c10 @t107))) % 29.42/29.65 (step @p81 :rule eq-symm :args (@t112 @t113)) % 29.42/29.65 (step @p82 :rule refl :args (@t9)) % 29.42/29.65 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t9 @t114))) % 29.42/29.65 (assume-push @p3272 @t9) % 29.42/29.65 (step @p85 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c9 tptp.sk_c9))) % 29.42/29.65 (step-pop @p3273 :rule scope :premises (@p85)) % 29.42/29.65 (step @p86 :rule process_scope :premises (@p3273) :args (@t114)) % 29.42/29.65 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 29.42/29.65 (step @p89 :rule implies_elim :premises (@p88)) % 29.42/29.65 (step @p90 :rule chain_m_resolution :premises (@p89 @p3) :args (@t115 @t116 @t117)) % 29.42/29.65 (assume-push @p3274 @t118) % 29.42/29.65 (assume-push @p3275 @t118) % 29.42/29.65 (step @p93 :rule cong :premises (@p3274) :args (@t111)) % 29.42/29.65 (step-pop @p3276 :rule scope :premises (@p93)) % 29.42/29.65 (step @p94 :rule process_scope :premises (@p3276) :args (@t120)) % 29.42/29.65 (step @p96 :rule modus_ponens :premises (@p3274 @p94)) % 29.42/29.65 (step-pop @p3277 :rule scope :premises (@p96)) % 29.42/29.65 (step @p97 :rule process_scope :premises (@p3277) :args (@t120)) % 29.42/29.65 (step @p99 :rule implies_elim :premises (@p97)) % 29.42/29.65 (step @p100 :rule eq-symm :args (@t10 tptp.sk_c10)) % 29.42/29.65 (step @p101 :rule eq-symm :args (@t54 tptp.sk_c10)) % 29.42/29.65 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t56)) % 29.42/29.65 (step @p103 :rule eq_resolve :premises (@p44 @p102)) % 29.42/29.65 (step @p104 :rule reordering :premises (@p103) :args ((or @t122 @t121))) % 29.42/29.65 (step @p105 :rule eq-symm :args (@t15 tptp.sk_c11)) % 29.42/29.65 (step @p106 :rule nary_cong :premises (@p101 @p105) :args (@t57)) % 29.42/29.65 (step @p107 :rule eq_resolve :premises (@p45 @p106)) % 29.42/29.65 (step @p108 :rule reordering :premises (@p107) :args ((or @t123 @t121))) % 29.42/29.65 (step @p109 :rule eq-symm :args (@t18 tptp.sk_c9)) % 29.42/29.65 (step @p110 :rule nary_cong :premises (@p101 @p109) :args (@t58)) % 29.42/29.65 (step @p111 :rule eq_resolve :premises (@p46 @p110)) % 29.42/29.65 (step @p112 :rule reordering :premises (@p111) :args ((or @t124 @t121))) % 29.42/29.65 (step @p113 :rule eq-symm :args (@t21 tptp.sk_c10)) % 29.42/29.65 (step @p114 :rule nary_cong :premises (@p101 @p113) :args (@t59)) % 29.42/29.65 (step @p115 :rule eq_resolve :premises (@p47 @p114)) % 29.42/29.65 (step @p116 :rule reordering :premises (@p115) :args ((or @t125 @t121))) % 29.42/29.65 (step @p117 :rule cnf_or_pos :args (@t128)) % 29.42/29.65 (step @p118 :rule reordering :premises (@p117) :args ((or @t127 @t126 (not @t128)))) % 29.42/29.65 (step @p119 :rule cnf_or_pos :args (@t131)) % 29.42/29.65 (step @p120 :rule reordering :premises (@p119) :args ((or @t130 @t129 (not @t131)))) % 29.42/29.65 (assume-push @p3278 @t135) % 29.42/29.65 (step @p122 :rule instantiate :premises (@p3278) :args (@t108)) % 29.42/29.65 (step-pop @p3279 :rule scope :premises (@p122)) % 29.42/29.65 (step @p123 :rule process_scope :premises (@p3279) :args (@t128)) % 29.42/29.65 (step @p125 :rule implies_elim :premises (@p123)) % 29.42/29.65 (assume-push @p3280 @t139) % 29.42/29.65 (step @p127 :rule instantiate :premises (@p3280) :args (@t109)) % 29.42/29.65 (step-pop @p3281 :rule scope :premises (@p127)) % 29.42/29.65 (step @p128 :rule process_scope :premises (@p3281) :args (@t131)) % 29.42/29.65 (step @p130 :rule implies_elim :premises (@p128)) % 29.42/29.65 (assume-push @p3282 @t122) % 29.42/29.65 (assume-push @p3283 @t123) % 29.42/29.65 (assume-push @p3284 @t140) % 29.42/29.65 (assume-push @p3285 @t141) % 29.42/29.65 (assume-push @p3286 @t123) % 29.42/29.65 (assume-push @p3287 @t140) % 29.42/29.65 (assume-push @p3288 @t141) % 29.42/29.65 (assume-push @p3289 @t122) % 29.42/29.65 (step @p139 :rule symm :premises (@p3284)) % 29.42/29.65 (step @p140 :rule refl :args (tptp.sk_c9)) % 29.42/29.65 (step @p141 :rule symm :premises (@p3285)) % 29.42/29.65 (step @p142 :rule cong :premises (@p141 @p140) :args (@t142)) % 29.42/29.65 (step @p143 :rule trans :premises (@p142 @p139 @p3283)) % 29.42/29.65 (step @p144 :rule refl :args (tptp.sk_c3)) % 29.42/29.65 (step @p145 :rule cong :premises (@p144 @p143) :args (@t143)) % 29.42/29.65 (step @p146 :rule symm :premises (@p142)) % 29.42/29.65 (step @p147 :rule trans :premises (@p3284 @p146)) % 29.42/29.65 (step @p148 :rule cong :premises (@p144 @p147) :args (@t10)) % 29.42/29.65 (step @p149 :rule trans :premises (@p3282 @p148 @p145)) % 29.42/29.65 (step-pop @p3290 :rule scope :premises (@p149)) % 29.42/29.65 (step-pop @p3291 :rule scope :premises (@p3290)) % 29.42/29.65 (step-pop @p3292 :rule scope :premises (@p3291)) % 29.42/29.65 (step-pop @p3293 :rule scope :premises (@p3292)) % 29.42/29.65 (step @p150 :rule process_scope :premises (@p3293) :args (@t145)) % 29.42/29.65 (step @p155 :rule and_intro :premises (@p3283 @p3284 @p3285 @p3282)) % 29.42/29.65 (step @p156 :rule modus_ponens :premises (@p155 @p150)) % 29.42/29.65 (step-pop @p3294 :rule scope :premises (@p156)) % 29.42/29.65 (step-pop @p3295 :rule scope :premises (@p3294)) % 29.42/29.65 (step-pop @p3296 :rule scope :premises (@p3295)) % 29.42/29.65 (step-pop @p3297 :rule scope :premises (@p3296)) % 29.42/29.65 (step @p157 :rule process_scope :premises (@p3297) :args (@t145)) % 29.42/29.65 (step @p162 :rule implies_elim :premises (@p157)) % 29.42/29.65 (step @p163 :rule cnf_and_neg :args (@t146)) % 29.42/29.65 (step @p164 :rule resolution :premises (@p163 @p162) :args (true @t146)) % 29.42/29.65 (step @p165 :rule reordering :premises (@p164) :args ((or @t148 @t127 @t126 @t147 @t145))) % 29.42/29.65 (assume-push @p3298 @t122) % 29.42/29.65 (assume-push @p3299 @t123) % 29.42/29.65 (assume-push @p3300 @t124) % 29.42/29.65 (assume-push @p3301 @t125) % 29.42/29.65 (assume-push @p3302 @t140) % 29.42/29.65 (assume-push @p3303 @t141) % 29.42/29.65 (assume-push @p3304 @t150) % 29.42/29.65 (assume-push @p3305 @t152) % 29.42/29.65 (assume-push @p3306 @t156) % 29.42/29.65 (assume-push @p3307 @t157) % 29.42/29.65 (assume-push @p3308 @t123) % 29.42/29.65 (step @p177 :rule trans :premises (@p3299 @p3307)) % 29.42/29.65 (step-pop @p3309 :rule scope :premises (@p177)) % 29.42/29.65 (step-pop @p3310 :rule scope :premises (@p3309)) % 29.42/29.65 (step @p178 :rule process_scope :premises (@p3310) :args (@t158)) % 29.42/29.65 (assume-push @p3311 @t123) % 29.42/29.65 (assume-push @p3312 @t140) % 29.42/29.65 (assume-push @p3313 @t141) % 29.42/29.65 (assume-push @p3314 @t122) % 29.42/29.65 (assume-push @p3315 @t150) % 29.42/29.65 (assume-push @p3316 @t152) % 29.42/29.65 (assume-push @p3317 @t125) % 29.42/29.65 (assume-push @p3318 @t156) % 29.42/29.65 (assume-push @p3319 @t124) % 29.42/29.65 (step @p190 :rule symm :premises (@p3302)) % 29.42/29.65 (step @p140 :rule refl :args (tptp.sk_c9)) % 29.42/29.65 (step @p191 :rule symm :premises (@p3303)) % 29.42/29.65 (step @p192 :rule cong :premises (@p191 @p140) :args (@t142)) % 29.42/29.65 (step @p193 :rule trans :premises (@p192 @p190 @p3299)) % 29.42/29.65 (step @p144 :rule refl :args (tptp.sk_c3)) % 29.42/29.65 (step @p194 :rule cong :premises (@p144 @p193) :args (@t143)) % 29.42/29.65 (step @p195 :rule symm :premises (@p192)) % 29.42/29.65 (step @p196 :rule trans :premises (@p3302 @p195)) % 29.42/29.65 (step @p197 :rule cong :premises (@p144 @p196) :args (@t10)) % 29.42/29.65 (step @p198 :rule symm :premises (@p59)) % 29.42/29.65 (step @p199 :rule refl :args (tptp.sk_c10)) % 29.42/29.65 (step @p200 :rule symm :premises (@p72)) % 29.42/29.65 (step @p201 :rule refl :args (tptp.sk_c4)) % 29.42/29.65 (step @p202 :rule cong :premises (@p3301 @p201) :args (@t154)) % 29.42/29.65 (step @p203 :rule trans :premises (@p202 @p200)) % 29.42/29.65 (step @p204 :rule cong :premises (@p203 @p199) :args (@t155)) % 29.42/29.65 (step @p205 :rule symm :premises (@p73)) % 29.42/29.65 (step @p206 :rule cong :premises (@p199 @p3300) :args (@t35)) % 29.42/29.65 (step @p207 :rule symm :premises (@p3299)) % 29.42/29.65 (step @p208 :rule trans :premises (@p207 @p3302 @p206 @p205 @p204 @p198 @p3298 @p197 @p194)) % 29.42/29.65 (step-pop @p3320 :rule scope :premises (@p208)) % 29.42/29.65 (step-pop @p3321 :rule scope :premises (@p3320)) % 29.42/29.65 (step-pop @p3322 :rule scope :premises (@p3321)) % 29.42/29.65 (step-pop @p3323 :rule scope :premises (@p3322)) % 29.42/29.65 (step-pop @p3324 :rule scope :premises (@p3323)) % 29.42/29.65 (step-pop @p3325 :rule scope :premises (@p3324)) % 29.42/29.65 (step-pop @p3326 :rule scope :premises (@p3325)) % 29.42/29.65 (step-pop @p3327 :rule scope :premises (@p3326)) % 29.42/29.65 (step-pop @p3328 :rule scope :premises (@p3327)) % 29.42/29.65 (step @p209 :rule process_scope :premises (@p3328) :args (@t157)) % 29.42/29.65 (step @p219 :rule and_intro :premises (@p3299 @p3302 @p3303 @p3298 @p59 @p72 @p3301 @p73 @p3300)) % 29.42/29.65 (step @p220 :rule modus_ponens :premises (@p219 @p209)) % 29.42/29.65 (step @p221 :rule and_intro :premises (@p220 @p3299)) % 29.42/29.65 (step @p222 :rule modus_ponens :premises (@p221 @p178)) % 29.42/29.65 (step-pop @p3329 :rule scope :premises (@p222)) % 29.42/29.65 (step-pop @p3330 :rule scope :premises (@p3329)) % 29.42/29.65 (step-pop @p3331 :rule scope :premises (@p3330)) % 29.42/29.65 (step-pop @p3332 :rule scope :premises (@p3331)) % 29.42/29.65 (step-pop @p3333 :rule scope :premises (@p3332)) % 29.42/29.65 (step-pop @p3334 :rule scope :premises (@p3333)) % 29.42/29.65 (step-pop @p3335 :rule scope :premises (@p3334)) % 29.42/29.65 (step-pop @p3336 :rule scope :premises (@p3335)) % 29.42/29.65 (step-pop @p3337 :rule scope :premises (@p3336)) % 29.42/29.65 (step @p223 :rule process_scope :premises (@p3337) :args (@t158)) % 29.42/29.65 (step @p233 :rule implies_elim :premises (@p223)) % 29.42/29.65 (step @p234 :rule cnf_and_neg :args (@t159)) % 29.42/29.65 (step @p235 :rule resolution :premises (@p234 @p233) :args (true @t159)) % 29.42/29.65 (step @p236 :rule reordering :premises (@p235) :args ((or @t148 @t127 @t126 @t130 @t129 @t147 @t162 @t158 @t161 @t160))) % 29.42/29.65 (step @p237 :rule instantiate :premises (@p3) :args ((@list @t142 tptp.sk_c3 @t142))) % 29.42/29.65 (assume-push @p3338 @t122) % 29.42/29.65 (assume-push @p3339 @t123) % 29.42/29.65 (assume-push @p3340 @t124) % 29.42/29.65 (assume-push @p3341 @t125) % 29.42/29.65 (assume-push @p3342 @t140) % 29.42/29.65 (assume-push @p3343 @t141) % 29.42/29.65 (assume-push @p3344 @t150) % 29.42/29.65 (assume-push @p3345 @t164) % 29.42/29.65 (assume-push @p3346 @t166) % 29.42/29.65 (assume-push @p3347 @t152) % 29.42/29.65 (assume-push @p3348 @t156) % 29.42/29.65 (assume-push @p3349 @t123) % 29.42/29.65 (assume-push @p3350 @t140) % 29.42/29.65 (assume-push @p3351 @t141) % 29.42/29.65 (assume-push @p3352 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29.42/29.66 (step-pop @p3507 :rule scope :premises (@p3506)) % 29.42/29.66 (step @p630 :rule process_scope :premises (@p3507) :args (@t235)) % 29.42/29.66 (step @p633 :rule and_intro :premises (@p3503 @p3502)) % 29.42/29.66 (step @p634 :rule modus_ponens :premises (@p633 @p630)) % 29.42/29.66 (step-pop @p3508 :rule scope :premises (@p634)) % 29.42/29.66 (step-pop @p3509 :rule scope :premises (@p3508)) % 29.42/29.66 (step @p635 :rule process_scope :premises (@p3509) :args (@t235)) % 29.42/29.66 (step @p638 :rule implies_elim :premises (@p635)) % 29.42/29.66 (step @p639 :rule cnf_and_neg :args (@t236)) % 29.42/29.66 (step @p640 :rule resolution :premises (@p639 @p638) :args (true @t236)) % 29.42/29.66 (assume-push @p3510 @t234) % 29.42/29.66 (assume-push @p3511 @t121) % 29.42/29.66 (assume-push @p3512 @t234) % 29.42/29.66 (assume-push @p3513 @t121) % 29.42/29.66 (step @p140 :rule refl :args (tptp.sk_c9)) % 29.42/29.66 (step @p645 :rule cong :premises (@p3510 @p140) :args (@t54)) % 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29.42/29.66 (assume-push @p4797 @t474) % 29.42/29.66 (assume-push @p4798 @t470) % 29.42/29.66 (assume-push @p4799 @t123) % 29.42/29.66 (assume-push @p4800 @t430) % 29.42/29.66 (assume-push @p4801 @t166) % 29.42/29.66 (assume-push @p4802 @t414) % 29.42/29.66 (assume-push @p4803 @t122) % 29.42/29.66 (assume-push @p4804 @t150) % 29.42/29.66 (assume-push @p4805 @t152) % 29.42/29.66 (assume-push @p4806 @t125) % 29.42/29.66 (assume-push @p4807 @t156) % 29.42/29.66 (assume-push @p4808 @t124) % 29.42/29.66 (assume-push @p4809 @t368) % 29.42/29.66 (assume-push @p4810 @t458) % 29.42/29.66 (assume-push @p4811 @t456) % 29.42/29.66 (assume-push @p4812 @t331) % 29.42/29.66 (assume-push @p4813 @t454) % 29.42/29.66 (assume-push @p4814 @t115) % 29.42/29.66 (assume-push @p4815 @t453) % 29.42/29.66 (assume-push @p4816 @t437) % 29.42/29.66 (assume-push @p4817 @t269) % 29.42/29.66 (assume-push @p4818 @t371) % 29.42/29.66 (assume-push @p4819 @t287) % 29.42/29.66 (assume-push @p4820 @t407) % 29.42/29.66 (assume-push @p4821 @t481) % 29.42/29.66 (assume-push @p4822 @t317) % 29.42/29.66 (assume-push @p4823 @t450) % 29.42/29.66 (assume-push @p4824 @t478) % 29.42/29.66 (assume-push @p4825 @t476) % 29.42/29.66 (assume-push @p4826 @t474) % 29.42/29.66 (assume-push @p4827 @t451) % 29.42/29.66 (assume-push @p4828 @t485) % 29.42/29.66 (step @p3124 :rule bool-eq-false :args (@t470)) % 29.42/29.66 (step @p3125 :rule symm :premises (@p3124)) % 29.42/29.66 (step @p3126 :rule eq-symm :args (@t468 @t469)) % 29.42/29.66 (step @p3127 :rule cong :premises (@p3126) :args ((not @t489))) % 29.42/29.66 (step @p3128 :rule bool-eq-false :args (@t489)) % 29.42/29.66 (step @p3129 :rule trans :premises (@p3128 @p3127)) % 29.42/29.66 (step @p3130 :rule trans :premises (@p3129 @p3125)) % 29.42/29.66 (step @p3131 :rule false_intro :premises (@p4774)) % 29.42/29.66 (step @p3132 :rule symm :premises (@p4768)) % 29.42/29.66 (step @p3133 :rule symm :premises (@p4769)) % 29.42/29.66 (step @p144 :rule refl :args (tptp.sk_c3)) % 29.42/29.66 (step @p3134 :rule cong :premises (@p144 @p3133) :args (@t144)) % 29.42/29.66 (step @p3135 :rule trans :premises (@p3134 @p3132)) % 29.42/29.66 (step @p3136 :rule cong :premises (@p3133 @p3135) :args (@t157)) % 29.42/29.66 (step @p3137 :rule trans :premises (@p3136 @p3131)) % 29.42/29.66 (step @p3138 :rule symm :premises (@p3134)) % 29.42/29.66 (step @p198 :rule symm :premises (@p59)) % 29.42/29.66 (step @p199 :rule refl :args (tptp.sk_c10)) % 29.42/29.66 (step @p2428 :rule symm :premises (@p71)) % 29.42/29.66 (step @p3139 :rule cong :premises (@p2428 @p199) :args (@t480)) % 29.42/29.66 (step @p3140 :rule symm :premises (@p74)) % 29.42/29.66 (step @p3141 :rule refl :args (@t466)) % 29.42/29.66 (step @p3142 :rule cong :premises (@p4769 @p3141) :args (@t467)) % 29.42/29.66 (step @p745 :rule refl :args (tptp.sk_c11)) % 29.42/29.66 (step @p3143 :rule symm :premises (@p4770)) % 29.42/29.66 (step @p3144 :rule cong :premises (@p3143 @p745) :args (@t406)) % 29.42/29.66 (step @p3145 :rule symm :premises (@p3144)) % 29.42/29.66 (step @p949 :rule symm :premises (@p63)) % 29.42/29.66 (step @p200 :rule symm :premises (@p72)) % 29.42/29.66 (step @p201 :rule refl :args (tptp.sk_c4)) % 29.42/29.66 (step @p3146 :rule cong :premises (@p4771 @p201) :args (@t154)) % 29.42/29.66 (step @p3147 :rule trans :premises (@p3146 @p200)) % 29.42/29.66 (step @p3148 :rule cong :premises (@p3147 @p199) :args (@t155)) % 29.42/29.66 (step @p205 :rule symm :premises (@p73)) % 29.42/29.66 (step @p3149 :rule cong :premises (@p199 @p4770) :args (@t35)) % 29.42/29.66 (step @p140 :rule refl :args (tptp.sk_c9)) % 29.42/29.66 (step @p3150 :rule cong :premises (@p3132 @p140) :args (@t177)) % 29.42/29.66 (step @p1932 :rule symm :premises (@p55)) % 29.42/29.66 (step @p3151 :rule trans :premises (@p1932 @p3150 @p3149 @p205 @p3148 @p198)) % 29.42/29.66 (step @p3152 :rule cong :premises (@p3151 @p140) :args (@t423)) % 29.42/29.66 (step @p2901 :rule symm :premises (@p70)) % 29.42/29.66 (step @p2902 :rule cong :premises (@p144 @p90) :args (@t452)) % 29.42/29.66 (step @p780 :rule refl :args (@t107)) % 29.42/29.66 (step @p3153 :rule cong :premises (@p4768 @p780) :args (@t260)) % 29.42/29.66 (step @p3154 :rule trans :premises (@p3153 @p69 @p2902 @p2901 @p3152 @p3149 @p205 @p3148 @p198)) % 29.42/29.66 (step @p2094 :rule refl :args (@t111)) % 29.42/29.66 (step @p3155 :rule cong :premises (@p2094 @p3154) :args (@t435)) % 29.42/29.66 (step @p3156 :rule cong :premises (@p3143 @p140) :args (@t370)) % 29.42/29.66 (step @p2469 :rule symm :premises (@p64)) % 29.42/29.66 (step @p3157 :rule trans :premises (@p3149 @p205 @p3148 @p198)) % 29.42/29.66 (step @p3158 :rule symm :premises (@p3157)) % 29.42/29.66 (step @p3159 :rule cong :premises (@p201 @p3158) :args (@t18)) % 29.42/29.66 (step @p3160 :rule trans :premises (@p4770 @p3159 @p2469 @p3156)) % 29.42/29.66 (step @p742 :rule symm :premises (@p67)) % 29.42/29.66 (step @p2911 :rule trans :premises (@p742 @p63)) % 29.42/29.66 (step @p3161 :rule cong :premises (@p2911 @p3160) :args (@t288)) % 29.42/29.66 (step @p743 :rule cong :premises (@p742 @p140) :args (@t288)) % 29.42/29.66 (step @p1224 :rule symm :premises (@p743)) % 29.42/29.66 (step @p3162 :rule trans :premises (@p68 @p1224 @p3161 @p80 @p3155 @p949)) % 29.42/29.66 (step @p3163 :rule cong :premises (@p3162 @p745) :args (@t362)) % 29.42/29.66 (step @p3164 :rule symm :premises (@p3163)) % 29.42/29.66 (step @p3165 :rule trans :premises (@p78 @p3164 @p3145 @p65)) % 29.42/29.66 (step @p3166 :rule symm :premises (@p3165)) % 29.42/29.66 (step @p3167 :rule symm :premises (@p4772)) % 29.42/29.66 (step @p3168 :rule symm :premises (@p76)) % 29.42/29.66 (step @p2472 :rule refl :args (tptp.sk_c8)) % 29.42/29.66 (step @p3169 :rule symm :premises (@p3026)) % 29.42/29.66 (step @p3170 :rule cong :premises (@p3169 @p2472) :args (@t473)) % 29.42/29.66 (step @p3171 :rule symm :premises (@p3027)) % 29.42/29.66 (step @p2890 :rule symm :premises (@p78)) % 29.42/29.66 (step @p2939 :rule cong :premises (@p2428 @p745) :args (@t413)) % 29.42/29.66 (step @p2431 :rule symm :premises (@p75)) % 29.42/29.66 (step @p2432 :rule refl :args (@t15)) % 29.42/29.66 (step @p3172 :rule cong :premises (@p2432 @p4768) :args (@t167)) % 29.42/29.66 (step @p3173 :rule cong :premises (@p4769 @p199) :args (@t422)) % 29.42/29.66 (step @p3174 :rule cong :premises (@p3133 @p3151) :args (@t457)) % 29.42/29.66 (step @p1359 :rule refl :args (@t100)) % 29.42/29.66 (step @p2921 :rule cong :premises (@p71 @p1359) :args (@t455)) % 29.42/29.66 (step @p3175 :rule trans :premises (@p77 @p2921 @p79 @p3174 @p3173 @p3172 @p2431 @p2939 @p2890 @p4772)) % 29.42/29.66 (step @p3176 :rule cong :premises (@p4773 @p3175) :args (@t483)) % 29.42/29.66 (step @p3177 :rule trans :premises (@p3176 @p3171 @p3170 @p3168)) % 29.42/29.66 (step @p3178 :rule refl :args (tptp.sk_c5)) % 29.42/29.66 (step @p3179 :rule cong :premises (@p3178 @p3177) :args (@t484)) % 29.42/29.66 (step @p2920 :rule symm :premises (@p77)) % 29.42/29.66 (step @p2922 :rule symm :premises (@p2921)) % 29.42/29.66 (step @p2923 :rule symm :premises (@p79)) % 29.42/29.66 (step @p3180 :rule symm :premises (@p3174)) % 29.42/29.66 (step @p3181 :rule symm :premises (@p3173)) % 29.42/29.66 (step @p3182 :rule symm :premises (@p3172)) % 29.42/29.66 (step @p2721 :rule cong :premises (@p71 @p745) :args (@t429)) % 29.42/29.66 (step @p3183 :rule trans :premises (@p3163 @p2721 @p75 @p3182 @p3181 @p3180 @p2923 @p2922 @p2920)) % 29.42/29.66 (step @p3184 :rule cong :premises (@p4772 @p3183) :args (@t415)) % 29.42/29.66 (step @p3185 :rule symm :premises (@p3183)) % 29.42/29.66 (step @p3186 :rule cong :premises (@p745 @p3185) :args (@t459)) % 29.42/29.66 (step @p3187 :rule trans :premises (@p77 @p2921 @p79 @p3174 @p3173 @p3172 @p2431 @p2939 @p2890)) % 29.42/29.66 (step @p3188 :rule symm :premises (@p3187)) % 29.42/29.66 (step @p3189 :rule cong :premises (@p745 @p3188) :args (@t318)) % 29.42/29.66 (step @p3190 :rule trans :premises (@p3189 @p3186 @p3184 @p66 @p3179 @p3167 @p78 @p3164 @p3145 @p65)) % 29.42/29.66 (step @p3191 :rule trans :premises (@p3190 @p3166)) % 29.42/29.66 (step @p3192 :rule cong :premises (@p3191 @p3141) :args (@t469)) % 29.42/29.66 (step @p3193 :rule trans :premises (@p3192 @p3142 @p3140 @p3139 @p198 @p4768 @p3138)) % 29.42/29.66 (step @p3194 :rule trans :premises (@p3142 @p3140 @p3139 @p198)) % 29.42/29.66 (step @p3195 :rule cong :premises (@p745 @p3194) :args (@t468)) % 29.42/29.66 (step @p3196 :rule trans :premises (@p3195 @p3173 @p3172 @p2431 @p2939 @p2890 @p4769)) % 29.42/29.66 (step @p3197 :rule cong :premises (@p3196 @p3193) :args (@t489)) % 29.42/29.66 (step @p3198 :rule trans :premises (@p3197 @p3137)) % 29.42/29.66 (step @p3199 :rule eq_resolve :premises (@p3198 @p3130)) % 29.42/29.66 (step @p3200 :rule false_elim :premises (@p3199)) % 29.42/29.66 (step-pop @p4829 :rule scope :premises (@p3200)) % 29.42/29.66 (step-pop @p4830 :rule scope :premises (@p4829)) % 29.42/29.66 (step-pop @p4831 :rule scope :premises (@p4830)) % 29.42/29.66 (step-pop @p4832 :rule scope :premises (@p4831)) % 29.42/29.66 (step-pop @p4833 :rule scope :premises (@p4832)) % 29.42/29.66 (step-pop @p4834 :rule scope :premises (@p4833)) % 29.42/29.66 (step-pop @p4835 :rule scope :premises (@p4834)) % 29.42/29.66 (step-pop @p4836 :rule scope :premises (@p4835)) % 29.42/29.66 (step-pop @p4837 :rule scope :premises (@p4836)) % 29.42/29.66 (step-pop @p4838 :rule scope :premises (@p4837)) % 29.42/29.66 (step-pop @p4839 :rule scope :premises (@p4838)) % 29.42/29.66 (step-pop @p4840 :rule scope :premises (@p4839)) % 29.42/29.66 (step-pop @p4841 :rule scope :premises (@p4840)) % 29.42/29.66 (step-pop @p4842 :rule scope :premises (@p4841)) % 29.42/29.66 (step-pop @p4843 :rule scope :premises (@p4842)) % 29.42/29.66 (step-pop @p4844 :rule scope :premises (@p4843)) % 29.42/29.66 (step-pop @p4845 :rule scope :premises (@p4844)) % 29.42/29.66 (step-pop @p4846 :rule scope :premises (@p4845)) % 29.42/29.66 (step-pop @p4847 :rule scope :premises (@p4846)) % 29.42/29.66 (step-pop @p4848 :rule scope :premises (@p4847)) % 29.42/29.66 (step-pop @p4849 :rule scope :premises (@p4848)) % 29.42/29.66 (step-pop @p4850 :rule scope :premises (@p4849)) % 29.42/29.66 (step-pop @p4851 :rule scope :premises (@p4850)) % 29.42/29.66 (step-pop @p4852 :rule scope :premises (@p4851)) % 29.42/29.66 (step-pop @p4853 :rule scope :premises (@p4852)) % 29.42/29.66 (step-pop @p4854 :rule scope :premises (@p4853)) % 29.42/29.66 (step-pop @p4855 :rule scope :premises (@p4854)) % 29.42/29.66 (step-pop @p4856 :rule scope :premises (@p4855)) % 29.42/29.66 (step-pop @p4857 :rule scope :premises (@p4856)) % 29.42/29.66 (step-pop @p4858 :rule scope :premises (@p4857)) % 29.42/29.66 (step @p3201 :rule process_scope :premises (@p4858) :args (@t471)) % 29.42/29.66 (step @p3232 :rule and_intro :premises (@p4769 @p78 @p71 @p75 @p4768 @p59 @p72 @p4771 @p73 @p4770 @p55 @p79 @p77 @p63 @p70 @p90 @p69 @p80 @p67 @p64 @p68 @p65 @p74 @p4774 @p4772 @p76 @p3026 @p3027 @p4773 @p66)) % 29.42/29.66 (step @p3233 :rule modus_ponens :premises (@p3232 @p3201)) % 29.42/29.66 (step @p3234 :rule and_intro :premises (@p3028 @p3233)) % 29.42/29.66 (step-pop @p4859 :rule scope :premises (@p3234)) % 29.42/29.66 (step-pop @p4860 :rule scope :premises (@p4859)) % 29.42/29.66 (step-pop @p4861 :rule scope :premises (@p4860)) % 29.42/29.66 (step-pop @p4862 :rule scope :premises (@p4861)) % 29.42/29.66 (step-pop @p4863 :rule scope :premises (@p4862)) % 29.42/29.66 (step-pop @p4864 :rule scope :premises (@p4863)) % 29.42/29.66 (step-pop @p4865 :rule scope :premises (@p4864)) % 29.42/29.66 (step-pop @p4866 :rule scope :premises (@p4865)) % 29.42/29.66 (step-pop @p4867 :rule scope :premises (@p4866)) % 29.42/29.66 (step-pop @p4868 :rule scope :premises (@p4867)) % 29.42/29.66 (step-pop @p4869 :rule scope :premises (@p4868)) % 29.42/29.66 (step-pop @p4870 :rule scope :premises (@p4869)) % 29.42/29.66 (step-pop @p4871 :rule scope :premises (@p4870)) % 29.42/29.66 (step-pop @p4872 :rule scope :premises (@p4871)) % 29.42/29.66 (step-pop @p4873 :rule scope :premises (@p4872)) % 29.42/29.66 (step-pop @p4874 :rule scope :premises (@p4873)) % 29.42/29.66 (step-pop @p4875 :rule scope :premises (@p4874)) % 29.42/29.66 (step-pop @p4876 :rule scope :premises (@p4875)) % 29.42/29.66 (step-pop @p4877 :rule scope :premises (@p4876)) % 29.42/29.66 (step-pop @p4878 :rule scope :premises (@p4877)) % 29.42/29.66 (step-pop @p4879 :rule scope :premises (@p4878)) % 29.42/29.66 (step-pop @p4880 :rule scope :premises (@p4879)) % 29.42/29.66 (step-pop @p4881 :rule scope :premises (@p4880)) % 29.42/29.66 (step-pop @p4882 :rule scope :premises (@p4881)) % 29.42/29.66 (step-pop @p4883 :rule scope :premises (@p4882)) % 29.42/29.66 (step-pop @p4884 :rule scope :premises (@p4883)) % 29.42/29.66 (step-pop @p4885 :rule scope :premises (@p4884)) % 29.42/29.66 (step-pop @p4886 :rule scope :premises (@p4885)) % 29.42/29.66 (step-pop @p4887 :rule scope :premises (@p4886)) % 29.42/29.66 (step-pop @p4888 :rule scope :premises (@p4887)) % 29.42/29.66 (step-pop @p4889 :rule scope :premises (@p4888)) % 29.42/29.66 (step @p3235 :rule process_scope :premises (@p4889) :args (@t490)) % 29.42/29.66 (step @p3267 :rule implies_elim :premises (@p3235)) % 29.42/29.66 (step @p3268 :rule resolution :premises (@p3267 @p3060) :args (true @t490)) % 29.42/29.66 (step @p3269 :rule not_and :premises (@p3268)) % 29.42/29.66 (step @p3270 :rule eq_resolve :premises (@p3269 @p3052)) % 29.42/29.66 (step @p3271 false :rule chain_m_resolution :premises (@p3270 @p3028 @p3027 @p3026 @p3025 @p2832 @p2828 @p2824 @p2821 @p2818 @p2815 @p90 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p59 @p55) :args (false (@list 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) (@list @t470 @t474 @t476 @t292 @t451 @t450 @t125 @t124 @t123 @t122 @t115 @t437 @t458 @t430 @t456 @t478 @t414 @t481 @t156 @t152 @t166 @t454 @t453 @t287 @t269 @t485 @t407 @t371 @t331 @t150 @t368))) % 29.42/29.66 ) % 29.42/29.66 % SZS output end Proof % 29.42/29.66 % cvc5 exiting %------------------------------------------------------------------------------