%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP385-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:20:39 AM UTC 2026 % Result : Unsatisfiable 2.19s 2.44s % Output : Proof 2.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP385-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:03:02 EDT 2026 % 0.17/0.34 % 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... % 2.19/2.44 % SZS status Unsatisfiable % 2.19/2.44 % SZS output start Proof % 2.19/2.47 ( % 2.19/2.47 (declare-sort $$unsorted 0) % 2.19/2.47 (declare-const tptp.sk_c2 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c7 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c6 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c3 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c8 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c1 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c5 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c4 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c10 $$unsorted) % 2.19/2.47 (declare-const tptp.sk_c9 $$unsorted) % 2.19/2.47 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 2.19/2.47 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 2.19/2.47 (declare-const tptp.identity $$unsorted) % 2.19/2.47 (define @t1 () (@var "X" $$unsorted)) % 2.19/2.47 (define @t2 () (tptp.multiply tptp.identity @t1)) % 2.19/2.47 (define @t3 () (@list @t1)) % 2.19/2.47 (define @t4 () (forall @t3 (= @t2 @t1))) % 2.19/2.47 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 2.19/2.47 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 2.19/2.47 (define @t7 () (@var "Z" $$unsorted)) % 2.19/2.47 (define @t8 () (@var "Y" $$unsorted)) % 2.19/2.47 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 2.19/2.47 (define @t10 () (tptp.inverse tptp.sk_c10)) % 2.19/2.47 (define @t11 () (= @t10 tptp.sk_c9)) % 2.19/2.47 (define @t12 () (tptp.multiply tptp.sk_c10 tptp.sk_c4)) % 2.19/2.47 (define @t13 () (= @t12 tptp.sk_c9)) % 2.19/2.47 (define @t14 () (tptp.multiply tptp.sk_c9 tptp.sk_c8)) % 2.19/2.47 (define @t15 () (= @t14 tptp.sk_c10)) % 2.19/2.47 (define @t16 () (or @t15 @t13)) % 2.19/2.47 (define @t17 () (tptp.multiply tptp.sk_c3 tptp.sk_c10)) % 2.19/2.47 (define @t18 () (= @t17 tptp.sk_c4)) % 2.19/2.47 (define @t19 () (or @t15 @t18)) % 2.19/2.47 (define @t20 () (tptp.inverse tptp.sk_c3)) % 2.19/2.47 (define @t21 () (= @t20 tptp.sk_c10)) % 2.19/2.47 (define @t22 () (or @t15 @t21)) % 2.19/2.47 (define @t23 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 2.19/2.47 (define @t24 () (= @t23 tptp.sk_c8)) % 2.19/2.47 (define @t25 () (or @t15 @t24)) % 2.19/2.47 (define @t26 () (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) % 2.19/2.47 (define @t27 () (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c8)) % 2.19/2.47 (define @t28 () (tptp.inverse tptp.sk_c7)) % 2.19/2.47 (define @t29 () (= @t28 tptp.sk_c10)) % 2.19/2.47 (define @t30 () (or @t15 @t29)) % 2.19/2.47 (define @t31 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 2.19/2.47 (define @t32 () (= @t31 tptp.sk_c10)) % 2.19/2.47 (define @t33 () (or @t15 @t32)) % 2.19/2.47 (define @t34 () (tptp.multiply tptp.sk_c10 tptp.sk_c8)) % 2.19/2.47 (define @t35 () (= @t34 tptp.sk_c9)) % 2.19/2.47 (define @t36 () (or @t35 @t21)) % 2.19/2.47 (define @t37 () (or @t35 @t32)) % 2.19/2.47 (define @t38 () (tptp.multiply tptp.sk_c10 tptp.sk_c2)) % 2.19/2.47 (define @t39 () (= @t38 tptp.sk_c9)) % 2.19/2.47 (define @t40 () (or @t39 @t13)) % 2.19/2.47 (define @t41 () (or @t39 @t18)) % 2.19/2.47 (define @t42 () (or @t39 @t21)) % 2.19/2.47 (define @t43 () (or @t39 @t29)) % 2.19/2.47 (define @t44 () (or @t39 @t32)) % 2.19/2.47 (define @t45 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 2.19/2.47 (define @t46 () (= @t45 tptp.sk_c2)) % 2.19/2.47 (define @t47 () (or @t46 @t13)) % 2.19/2.47 (define @t48 () (or @t46 @t18)) % 2.19/2.47 (define @t49 () (or @t46 @t21)) % 2.19/2.47 (define @t50 () (or @t46 @t29)) % 2.19/2.47 (define @t51 () (or @t46 @t32)) % 2.19/2.47 (define @t52 () (tptp.inverse tptp.sk_c1)) % 2.19/2.47 (define @t53 () (= @t52 tptp.sk_c10)) % 2.19/2.47 (define @t54 () (or @t53 @t13)) % 2.19/2.47 (define @t55 () (or @t53 @t18)) % 2.19/2.47 (define @t56 () (or @t53 @t21)) % 2.19/2.47 (define @t57 () (or @t53 @t29)) % 2.19/2.47 (define @t58 () (or @t53 @t32)) % 2.19/2.47 (define @t59 () (@var "X7" $$unsorted)) % 2.19/2.47 (define @t60 () (tptp.multiply @t59 tptp.sk_c8)) % 2.19/2.47 (define @t61 () (not (= @t60 tptp.sk_c10))) % 2.19/2.47 (define @t62 () (tptp.inverse @t59)) % 2.19/2.47 (define @t63 () (not (= @t62 tptp.sk_c10))) % 2.19/2.47 (define @t64 () (@var "X6" $$unsorted)) % 2.19/2.47 (define @t65 () (tptp.multiply @t64 tptp.sk_c9)) % 2.19/2.47 (define @t66 () (not (= @t65 tptp.sk_c8))) % 2.19/2.47 (define @t67 () (@var "X5" $$unsorted)) % 2.19/2.47 (define @t68 () (tptp.inverse @t67)) % 2.19/2.47 (define @t69 () (not (= @t68 @t64))) % 2.19/2.47 (define @t70 () (tptp.multiply @t67 @t64)) % 2.19/2.47 (define @t71 () (not (= @t70 tptp.sk_c8))) % 2.19/2.47 (define @t72 () (@var "X2" $$unsorted)) % 2.19/2.47 (define @t73 () (tptp.inverse @t72)) % 2.19/2.47 (define @t74 () (not (= @t73 tptp.sk_c10))) % 2.19/2.47 (define @t75 () (@var "X1" $$unsorted)) % 2.19/2.47 (define @t76 () (tptp.multiply @t72 tptp.sk_c10)) % 2.19/2.47 (define @t77 () (not (= @t76 @t75))) % 2.19/2.47 (define @t78 () (tptp.multiply tptp.sk_c10 @t75)) % 2.19/2.47 (define @t79 () (not (= @t78 tptp.sk_c9))) % 2.19/2.47 (define @t80 () (@var "X4" $$unsorted)) % 2.19/2.47 (define @t81 () (tptp.inverse @t80)) % 2.19/2.47 (define @t82 () (not (= @t81 tptp.sk_c10))) % 2.19/2.47 (define @t83 () (@var "X3" $$unsorted)) % 2.19/2.47 (define @t84 () (tptp.multiply @t80 tptp.sk_c10)) % 2.19/2.47 (define @t85 () (not (= @t84 @t83))) % 2.19/2.47 (define @t86 () (tptp.multiply tptp.sk_c10 @t83)) % 2.19/2.47 (define @t87 () (not (= @t86 tptp.sk_c9))) % 2.19/2.47 (define @t88 () (not @t35)) % 2.19/2.47 (define @t89 () (not @t15)) % 2.19/2.47 (define @t90 () (not @t11)) % 2.19/2.47 (define @t91 () (or @t90 @t89 @t88 @t87 @t85 @t82 @t79 @t77 @t74 @t71 @t69 @t66 @t63 @t61)) % 2.19/2.47 (define @t92 () (@list @t83 @t80 @t75 @t72 @t67 @t64 @t59)) % 2.19/2.47 (define @t93 () (forall @t92 @t91)) % 2.19/2.47 (define @t94 () (@list tptp.sk_c10)) % 2.19/2.47 (define @t95 () (@list tptp.sk_c3)) % 2.19/2.47 (define @t96 () (not (= tptp.sk_c10 @t60))) % 2.19/2.47 (define @t97 () (not (= tptp.sk_c10 @t62))) % 2.19/2.47 (define @t98 () (or @t97 @t96)) % 2.19/2.47 (define @t99 () (forall (@list @t59) @t98)) % 2.19/2.47 (define @t100 () (@quantifiers_skolemize @t99 0)) % 2.19/2.47 (define @t101 () (@list @t100)) % 2.19/2.47 (define @t102 () (not (= tptp.sk_c8 (tptp.multiply @t68 tptp.sk_c9)))) % 2.19/2.47 (define @t103 () (not (= tptp.sk_c8 (tptp.multiply @t67 @t68)))) % 2.19/2.47 (define @t104 () (or @t103 @t102)) % 2.19/2.47 (define @t105 () (@list @t67)) % 2.19/2.47 (define @t106 () (forall @t105 @t104)) % 2.19/2.47 (define @t107 () (@quantifiers_skolemize @t106 0)) % 2.19/2.47 (define @t108 () (tptp.multiply tptp.sk_c3 @t100)) % 2.19/2.47 (define @t109 () (tptp.multiply tptp.sk_c10 tptp.sk_c3)) % 2.19/2.47 (define @t110 () (tptp.multiply @t109 @t100)) % 2.19/2.47 (define @t111 () (tptp.multiply tptp.sk_c10 @t108)) % 2.19/2.47 (define @t112 () (= @t110 @t111)) % 2.19/2.47 (define @t113 () (@list tptp.sk_c10 tptp.sk_c3 @t100)) % 2.19/2.47 (define @t114 () (= @t111 @t110)) % 2.19/2.47 (define @t115 () (@list false)) % 2.19/2.47 (define @t116 () (@list @t9)) % 2.19/2.47 (define @t117 () (= tptp.sk_c10 @t31)) % 2.19/2.47 (define @t118 () (not @t117)) % 2.19/2.47 (define @t119 () (= tptp.sk_c10 @t28)) % 2.19/2.47 (define @t120 () (not @t119)) % 2.19/2.47 (define @t121 () (or @t120 @t118)) % 2.19/2.47 (define @t122 () (= tptp.sk_c10 @t14)) % 2.19/2.47 (define @t123 () (not @t122)) % 2.19/2.47 (define @t124 () (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) % 2.19/2.47 (define @t125 () (not @t124)) % 2.19/2.47 (define @t126 () (or @t125 @t123)) % 2.19/2.47 (define @t127 () (not @t121)) % 2.19/2.47 (define @t128 () (= tptp.sk_c9 @t38)) % 2.19/2.47 (define @t129 () (= tptp.sk_c2 @t45)) % 2.19/2.47 (define @t130 () (= tptp.sk_c10 @t52)) % 2.19/2.47 (define @t131 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t45))) % 2.19/2.47 (define @t132 () (and @t128 @t129)) % 2.19/2.47 (define @t133 () (not @t130)) % 2.19/2.47 (define @t134 () (not @t131)) % 2.19/2.47 (define @t135 () (or @t134 @t133)) % 2.19/2.47 (define @t136 () (not @t135)) % 2.19/2.47 (define @t137 () (not (= tptp.sk_c10 @t81))) % 2.19/2.47 (define @t138 () (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t84)))) % 2.19/2.47 (define @t139 () (or @t138 @t137)) % 2.19/2.47 (define @t140 () (@list @t80)) % 2.19/2.47 (define @t141 () (forall @t140 @t139)) % 2.19/2.47 (define @t142 () (@list tptp.sk_c1)) % 2.19/2.47 (define @t143 () (@quantifiers_skolemize @t141 0)) % 2.19/2.47 (define @t144 () (tptp.inverse @t143)) % 2.19/2.47 (define @t145 () (= tptp.sk_c10 @t144)) % 2.19/2.47 (define @t146 () (not @t145)) % 2.19/2.47 (define @t147 () (tptp.multiply @t143 tptp.sk_c10)) % 2.19/2.47 (define @t148 () (tptp.multiply tptp.sk_c10 @t147)) % 2.19/2.47 (define @t149 () (= tptp.sk_c9 @t148)) % 2.19/2.47 (define @t150 () (not @t149)) % 2.19/2.47 (define @t151 () (or @t150 @t146)) % 2.19/2.47 (define @t152 () (not @t151)) % 2.19/2.47 (define @t153 () (not @t141)) % 2.19/2.47 (define @t154 () (not @t150)) % 2.19/2.47 (define @t155 () (@list @t143)) % 2.19/2.47 (define @t156 () (tptp.multiply tptp.sk_c10 @t143)) % 2.19/2.47 (define @t157 () (tptp.multiply @t156 tptp.sk_c10)) % 2.19/2.47 (define @t158 () (= @t157 @t148)) % 2.19/2.47 (define @t159 () (@list tptp.sk_c10 @t143 tptp.sk_c10)) % 2.19/2.47 (define @t160 () (= @t148 @t157)) % 2.19/2.47 (define @t161 () (= tptp.sk_c9 @t10)) % 2.19/2.47 (define @t162 () (tptp.inverse @t107)) % 2.19/2.47 (define @t163 () (tptp.multiply @t162 @t107)) % 2.19/2.47 (define @t164 () (= tptp.identity @t163)) % 2.19/2.47 (define @t165 () (tptp.multiply @t144 @t143)) % 2.19/2.47 (define @t166 () (= tptp.identity @t165)) % 2.19/2.47 (define @t167 () (tptp.multiply tptp.identity tptp.sk_c10)) % 2.19/2.47 (define @t168 () (= tptp.sk_c10 @t167)) % 2.19/2.47 (define @t169 () (and @t161 @t149 @t145 @t164 @t166 @t160 @t168)) % 2.19/2.47 (define @t170 () (not @t99)) % 2.19/2.47 (define @t171 () (tptp.multiply @t100 tptp.sk_c8)) % 2.19/2.47 (define @t172 () (= tptp.sk_c10 @t171)) % 2.19/2.47 (define @t173 () (not @t172)) % 2.19/2.47 (define @t174 () (tptp.inverse @t100)) % 2.19/2.47 (define @t175 () (= tptp.sk_c10 @t174)) % 2.19/2.47 (define @t176 () (not @t175)) % 2.19/2.47 (define @t177 () (or @t176 @t173)) % 2.19/2.47 (define @t178 () (not @t177)) % 2.19/2.47 (define @t179 () (tptp.multiply @t31 @t143)) % 2.19/2.47 (define @t180 () (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t143))) % 2.19/2.47 (define @t181 () (= @t179 @t180)) % 2.19/2.47 (define @t182 () (@list tptp.sk_c7 tptp.sk_c8 @t143)) % 2.19/2.47 (define @t183 () (= @t180 @t179)) % 2.19/2.47 (define @t184 () (tptp.multiply @t180 tptp.sk_c10)) % 2.19/2.47 (define @t185 () (= tptp.sk_c10 (tptp.inverse @t174))) % 2.19/2.47 (define @t186 () (and @t161 @t117 @t175 @t149 @t145 @t164 @t166 @t160 @t168 @t183)) % 2.19/2.47 (define @t187 () (not @t183)) % 2.19/2.47 (define @t188 () (not @t168)) % 2.19/2.47 (define @t189 () (not @t160)) % 2.19/2.47 (define @t190 () (not @t166)) % 2.19/2.47 (define @t191 () (not @t164)) % 2.19/2.47 (define @t192 () (not @t161)) % 2.19/2.47 (define @t193 () (tptp.multiply @t143 @t100)) % 2.19/2.47 (define @t194 () (tptp.multiply tptp.sk_c10 @t193)) % 2.19/2.47 (define @t195 () (tptp.multiply @t156 @t100)) % 2.19/2.47 (define @t196 () (= @t195 @t194)) % 2.19/2.47 (define @t197 () (@list tptp.sk_c10 @t143 @t100)) % 2.19/2.47 (define @t198 () (= @t194 @t195)) % 2.19/2.47 (define @t199 () (tptp.multiply tptp.sk_c8 tptp.sk_c8)) % 2.19/2.47 (define @t200 () (tptp.multiply tptp.sk_c8 @t193)) % 2.19/2.47 (define @t201 () (tptp.multiply @t171 @t193)) % 2.19/2.47 (define @t202 () (tptp.multiply @t100 @t200)) % 2.19/2.47 (define @t203 () (= @t201 @t202)) % 2.19/2.47 (define @t204 () (= @t202 @t201)) % 2.19/2.47 (define @t205 () (tptp.multiply @t10 tptp.sk_c10)) % 2.19/2.47 (define @t206 () (= tptp.identity @t205)) % 2.19/2.47 (define @t207 () (tptp.multiply @t147 tptp.sk_c8)) % 2.19/2.47 (define @t208 () (tptp.multiply tptp.sk_c10 @t207)) % 2.19/2.47 (define @t209 () (tptp.multiply @t148 tptp.sk_c8)) % 2.19/2.47 (define @t210 () (= @t209 @t208)) % 2.19/2.47 (define @t211 () (tptp.multiply @t100 @t199)) % 2.19/2.47 (define @t212 () (= (tptp.multiply @t171 tptp.sk_c8) @t211)) % 2.19/2.47 (define @t213 () (tptp.multiply @t143 @t171)) % 2.19/2.47 (define @t214 () (tptp.multiply @t193 tptp.sk_c8)) % 2.19/2.47 (define @t215 () (= @t214 @t213)) % 2.19/2.47 (define @t216 () (tptp.multiply @t156 @t34)) % 2.19/2.47 (define @t217 () (tptp.multiply @t157 tptp.sk_c8)) % 2.19/2.47 (define @t218 () (= @t217 @t216)) % 2.19/2.47 (define @t219 () (tptp.multiply tptp.sk_c10 @t214)) % 2.19/2.47 (define @t220 () (tptp.multiply @t194 tptp.sk_c8)) % 2.19/2.47 (define @t221 () (= @t220 @t219)) % 2.19/2.47 (define @t222 () (tptp.multiply @t220 tptp.sk_c8)) % 2.19/2.47 (define @t223 () (= @t222 (tptp.multiply @t194 @t199))) % 2.19/2.47 (define @t224 () (tptp.multiply @t143 @t220)) % 2.19/2.47 (define @t225 () (tptp.multiply @t143 @t194)) % 2.19/2.47 (define @t226 () (tptp.multiply @t225 tptp.sk_c8)) % 2.19/2.47 (define @t227 () (= @t226 @t224)) % 2.19/2.47 (define @t228 () (tptp.multiply @t10 @t220)) % 2.19/2.47 (define @t229 () (tptp.multiply @t10 @t194)) % 2.19/2.47 (define @t230 () (tptp.multiply @t229 tptp.sk_c8)) % 2.19/2.47 (define @t231 () (= @t230 @t228)) % 2.19/2.47 (define @t232 () (tptp.multiply @t195 @t199)) % 2.19/2.47 (define @t233 () (= @t232 (tptp.multiply @t156 @t211))) % 2.19/2.47 (define @t234 () (tptp.multiply @t143 @t202)) % 2.19/2.47 (define @t235 () (tptp.multiply @t193 @t200)) % 2.19/2.47 (define @t236 () (= @t235 @t234)) % 2.19/2.47 (define @t237 () (tptp.multiply tptp.identity tptp.sk_c8)) % 2.19/2.47 (define @t238 () (= tptp.sk_c8 @t237)) % 2.19/2.47 (define @t239 () (tptp.multiply tptp.identity @t193)) % 2.19/2.47 (define @t240 () (= @t193 @t239)) % 2.19/2.47 (define @t241 () (tptp.multiply tptp.sk_c9 @t194)) % 2.19/2.47 (define @t242 () (tptp.multiply tptp.sk_c9 tptp.sk_c10)) % 2.19/2.47 (define @t243 () (tptp.multiply @t242 @t193)) % 2.19/2.47 (define @t244 () (= @t243 @t241)) % 2.19/2.47 (define @t245 () (= @t147 (tptp.multiply tptp.identity @t147))) % 2.19/2.47 (define @t246 () (tptp.multiply @t14 @t147)) % 2.19/2.47 (define @t247 () (tptp.multiply tptp.sk_c9 @t207)) % 2.19/2.47 (define @t248 () (tptp.multiply @t242 @t147)) % 2.19/2.47 (define @t249 () (tptp.multiply @t241 tptp.sk_c8)) % 2.19/2.47 (define @t250 () (tptp.multiply @t235 tptp.sk_c8)) % 2.19/2.47 (define @t251 () (tptp.multiply @t250 tptp.sk_c8)) % 2.19/2.47 (define @t252 () (= tptp.sk_c9 @t34)) % 2.19/2.47 (define @t253 () (and @t161 @t122 @t117 @t172 @t149 @t145 @t206 @t164 @t166 @t210 @t212 @t215 @t160 @t168 @t218 @t221 @t223 @t227 @t231 @t198 @t233 @t236 @t204 @t238 @t240 @t244 @t245 @t183)) % 2.19/2.47 (define @t254 () (not @t244)) % 2.19/2.47 (define @t255 () (not @t240)) % 2.19/2.47 (define @t256 () (not @t238)) % 2.19/2.47 (define @t257 () (not @t204)) % 2.19/2.47 (define @t258 () (not @t236)) % 2.19/2.47 (define @t259 () (not @t198)) % 2.19/2.47 (define @t260 () (not @t231)) % 2.19/2.47 (define @t261 () (not @t227)) % 2.19/2.47 (define @t262 () (not @t221)) % 2.19/2.47 (define @t263 () (not @t218)) % 2.19/2.47 (define @t264 () (not @t215)) % 2.19/2.47 (define @t265 () (not @t206)) % 2.19/2.47 (define @t266 () (tptp.multiply tptp.sk_c10 tptp.sk_c10)) % 2.19/2.47 (define @t267 () (tptp.multiply @t31 tptp.sk_c10)) % 2.19/2.47 (define @t268 () (tptp.multiply @t10 tptp.sk_c9)) % 2.19/2.47 (define @t269 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 (tptp.multiply @t174 tptp.sk_c10)))) % 2.19/2.47 (define @t270 () (and @t161 @t122 @t117 @t175 @t172 @t149 @t145 @t206 @t164 @t166 @t215 @t160 @t168 @t221 @t227 @t231 @t236 @t204 @t240 @t244 @t183)) % 2.19/2.47 (define @t271 () (tptp.multiply tptp.sk_c8 @t207)) % 2.19/2.47 (define @t272 () (tptp.multiply @t193 @t199)) % 2.19/2.47 (define @t273 () (tptp.multiply @t214 tptp.sk_c8)) % 2.19/2.47 (define @t274 () (= @t273 @t272)) % 2.19/2.47 (define @t275 () (tptp.multiply @t194 @t271)) % 2.19/2.47 (define @t276 () (tptp.multiply @t220 @t207)) % 2.19/2.47 (define @t277 () (= @t276 @t275)) % 2.19/2.47 (define @t278 () (tptp.multiply @t235 @t199)) % 2.19/2.47 (define @t279 () (= @t251 @t278)) % 2.19/2.47 (define @t280 () (tptp.multiply tptp.sk_c8 @t272)) % 2.19/2.47 (define @t281 () (tptp.multiply @t200 @t199)) % 2.19/2.47 (define @t282 () (= @t281 @t280)) % 2.19/2.47 (define @t283 () (tptp.multiply @t193 @t281)) % 2.19/2.47 (define @t284 () (= @t278 @t283)) % 2.19/2.47 (define @t285 () (tptp.multiply tptp.sk_c9 @t275)) % 2.19/2.47 (define @t286 () (= (tptp.multiply @t241 @t271) @t285)) % 2.19/2.47 (define @t287 () (tptp.multiply @t193 @t271)) % 2.19/2.47 (define @t288 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c10 @t10))) % 2.19/2.47 (define @t289 () (and @t161 @t122 @t117 @t172 @t149 @t145 @t206 @t164 @t166 @t215 @t160 @t168 @t274 @t221 @t277 @t227 @t231 @t279 @t236 @t282 @t284 @t204 @t286 @t238 @t240 @t244 @t245 @t183)) % 2.19/2.47 (define @t290 () (= tptp.sk_c8 @t268)) % 2.19/2.47 (define @t291 () (not @t185)) % 2.19/2.47 (define @t292 () (not @t269)) % 2.19/2.47 (define @t293 () (or @t292 @t291)) % 2.19/2.47 (define @t294 () (not @t290)) % 2.19/2.47 (define @t295 () (not @t288)) % 2.19/2.47 (define @t296 () (or @t295 @t294)) % 2.19/2.47 (define @t297 () (not (= @t68 @t68))) % 2.19/2.47 (define @t298 () (or @t103 @t297 @t102)) % 2.19/2.47 (define @t299 () (not (= tptp.sk_c8 @t65))) % 2.19/2.47 (define @t300 () (not (= @t64 @t68))) % 2.19/2.47 (define @t301 () (not (= tptp.sk_c8 @t70))) % 2.19/2.47 (define @t302 () (or @t300 @t301 @t300 @t299)) % 2.19/2.47 (define @t303 () (@list @t64)) % 2.19/2.47 (define @t304 () (or @t301 @t300 @t299)) % 2.19/2.47 (define @t305 () (forall @t303 @t304)) % 2.19/2.47 (define @t306 () (forall @t105 @t305)) % 2.19/2.47 (define @t307 () (forall (@list @t67 @t64) @t304)) % 2.19/2.47 (define @t308 () (not (= tptp.sk_c10 @t73))) % 2.19/2.47 (define @t309 () (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t76)))) % 2.19/2.47 (define @t310 () (or @t309 @t308)) % 2.19/2.47 (define @t311 () (not (= @t76 @t76))) % 2.19/2.47 (define @t312 () (or @t309 @t311 @t308)) % 2.19/2.47 (define @t313 () (@list @t72)) % 2.19/2.47 (define @t314 () (not (= @t75 @t76))) % 2.19/2.47 (define @t315 () (not (= tptp.sk_c9 @t78))) % 2.19/2.47 (define @t316 () (or @t314 @t315 @t314 @t308)) % 2.19/2.47 (define @t317 () (@list @t75)) % 2.19/2.47 (define @t318 () (or @t315 @t314 @t308)) % 2.19/2.47 (define @t319 () (forall @t317 @t318)) % 2.19/2.47 (define @t320 () (forall @t313 @t319)) % 2.19/2.47 (define @t321 () (forall (@list @t72 @t75) @t318)) % 2.19/2.47 (define @t322 () (forall (@list @t75 @t72) @t318)) % 2.19/2.47 (define @t323 () (not (= @t84 @t84))) % 2.19/2.47 (define @t324 () (or @t138 @t323 @t137)) % 2.19/2.47 (define @t325 () (not (= @t83 @t84))) % 2.19/2.47 (define @t326 () (not (= tptp.sk_c9 @t86))) % 2.19/2.47 (define @t327 () (or @t325 @t326 @t325 @t137)) % 2.19/2.47 (define @t328 () (@list @t83)) % 2.19/2.47 (define @t329 () (or @t326 @t325 @t137)) % 2.19/2.47 (define @t330 () (forall @t328 @t329)) % 2.19/2.47 (define @t331 () (forall @t140 @t330)) % 2.19/2.47 (define @t332 () (forall (@list @t80 @t83) @t329)) % 2.19/2.47 (define @t333 () (forall (@list @t83 @t80) @t329)) % 2.19/2.47 (define @t334 () (not @t252)) % 2.19/2.47 (define @t335 () (or @t192 @t123 @t334 @t333 @t322 @t307 @t99)) % 2.19/2.47 (define @t336 () (or @t192 @t123 @t334 @t329 @t318 @t304 @t98)) % 2.19/2.47 (define @t337 () (or @t192 @t123 @t334 @t326 @t325 @t137 @t315 @t314 @t308 @t301 @t300 @t299 @t97 @t96)) % 2.19/2.47 (define @t338 () (forall @t313 @t310)) % 2.19/2.47 (define @t339 () (= tptp.sk_c4 @t17)) % 2.19/2.47 (define @t340 () (@list false false false false)) % 2.19/2.47 (define @t341 () (@list @t131 @t130 @t129 @t128)) % 2.19/2.47 (define @t342 () (= tptp.sk_c9 @t12)) % 2.19/2.47 (define @t343 () (not @t342)) % 2.19/2.47 (define @t344 () (tptp.multiply tptp.sk_c10 @t17)) % 2.19/2.47 (define @t345 () (tptp.multiply @t109 tptp.sk_c10)) % 2.19/2.47 (define @t346 () (= @t345 @t344)) % 2.19/2.47 (define @t347 () (not @t346)) % 2.19/2.47 (define @t348 () (tptp.multiply @t20 tptp.sk_c3)) % 2.19/2.47 (define @t349 () (= tptp.identity @t348)) % 2.19/2.47 (define @t350 () (not @t349)) % 2.19/2.47 (define @t351 () (= tptp.sk_c10 @t20)) % 2.19/2.47 (define @t352 () (not @t351)) % 2.19/2.47 (define @t353 () (not @t339)) % 2.19/2.47 (define @t354 () (and @t122 @t339 @t351 @t117 @t172 @t150 @t145 @t349 @t164 @t166 @t346 @t215 @t160 @t168 @t221 @t183)) % 2.19/2.47 (define @t355 () (= tptp.sk_c9 @t344)) % 2.19/2.47 (define @t356 () (not @t355)) % 2.19/2.47 (define @t357 () (or @t356 @t352)) % 2.19/2.47 (define @t358 () (and @t342 @t339 @t172)) % 2.19/2.47 (define @t359 () (= tptp.sk_c8 (tptp.multiply @t144 tptp.sk_c9))) % 2.19/2.47 (define @t360 () (not @t359)) % 2.19/2.47 (define @t361 () (= tptp.sk_c8 (tptp.multiply @t143 @t144))) % 2.19/2.47 (define @t362 () (not @t361)) % 2.19/2.47 (define @t363 () (or @t362 @t360)) % 2.19/2.47 (define @t364 () (tptp.multiply @t107 @t194)) % 2.19/2.47 (define @t365 () (tptp.multiply @t107 tptp.sk_c10)) % 2.19/2.47 (define @t366 () (= tptp.identity (tptp.multiply @t52 tptp.sk_c1))) % 2.19/2.47 (define @t367 () (= tptp.identity (tptp.multiply @t174 @t100))) % 2.19/2.47 (define @t368 () (tptp.multiply @t162 @t365)) % 2.19/2.47 (define @t369 () (tptp.multiply @t163 tptp.sk_c10)) % 2.19/2.47 (define @t370 () (= @t369 @t368)) % 2.19/2.47 (define @t371 () (= @t100 (tptp.multiply tptp.identity @t100))) % 2.19/2.47 (define @t372 () (= @t194 (tptp.multiply tptp.identity @t194))) % 2.19/2.47 (define @t373 () (tptp.multiply @t162 (tptp.multiply @t364 tptp.sk_c8))) % 2.19/2.47 (define @t374 () (tptp.multiply @t162 @t364)) % 2.19/2.47 (define @t375 () (tptp.multiply @t374 tptp.sk_c8)) % 2.19/2.47 (define @t376 () (= @t375 @t373)) % 2.19/2.47 (define @t377 () (tptp.multiply @t365 @t108)) % 2.19/2.47 (define @t378 () (= @t377 (tptp.multiply @t107 @t111))) % 2.19/2.47 (define @t379 () (tptp.multiply @t10 @t111)) % 2.19/2.47 (define @t380 () (= (tptp.multiply @t205 @t108) @t379)) % 2.19/2.47 (define @t381 () (tptp.multiply tptp.sk_c3 @t111)) % 2.19/2.47 (define @t382 () (tptp.multiply @t17 @t108)) % 2.19/2.47 (define @t383 () (= @t382 @t381)) % 2.19/2.47 (define @t384 () (= @t143 (tptp.multiply tptp.identity @t143))) % 2.19/2.47 (define @t385 () (tptp.multiply @t365 @t382)) % 2.19/2.47 (define @t386 () (tptp.multiply (tptp.multiply @t365 @t17) @t108)) % 2.19/2.47 (define @t387 () (= @t386 @t385)) % 2.19/2.47 (define @t388 () (tptp.multiply @t368 @t108)) % 2.19/2.47 (define @t389 () (= @t388 (tptp.multiply @t162 @t377))) % 2.19/2.47 (define @t390 () (tptp.multiply tptp.identity tptp.sk_c1)) % 2.19/2.47 (define @t391 () (= tptp.sk_c1 @t390)) % 2.19/2.47 (define @t392 () (tptp.multiply @t52 @t143)) % 2.19/2.47 (define @t393 () (tptp.multiply @t242 @t143)) % 2.19/2.47 (define @t394 () (tptp.multiply @t144 @t393)) % 2.19/2.47 (define @t395 () (tptp.multiply @t156 @t157)) % 2.19/2.47 (define @t396 () (tptp.multiply @t242 @t34)) % 2.19/2.47 (define @t397 () (tptp.multiply @t396 tptp.sk_c8)) % 2.19/2.47 (define @t398 () (tptp.multiply @t52 @t390)) % 2.19/2.47 (define @t399 () (tptp.multiply tptp.sk_c10 tptp.sk_c1)) % 2.19/2.47 (define @t400 () (tptp.multiply tptp.sk_c9 @t390)) % 2.19/2.47 (define @t401 () (tptp.multiply tptp.sk_c9 tptp.sk_c1)) % 2.19/2.47 (define @t402 () (tptp.multiply @t401 tptp.sk_c8)) % 2.19/2.47 (define @t403 () (tptp.multiply @t156 @t111)) % 2.19/2.47 (define @t404 () (tptp.multiply @t174 @t194)) % 2.19/2.47 (define @t405 () (tptp.multiply tptp.sk_c10 @t194)) % 2.19/2.47 (define @t406 () (tptp.multiply @t148 @t100)) % 2.19/2.47 (define @t407 () (tptp.multiply @t242 @t108)) % 2.19/2.47 (define @t408 () (tptp.multiply @t143 @t111)) % 2.19/2.47 (define @t409 () (tptp.multiply @t242 @t194)) % 2.19/2.47 (define @t410 () (tptp.multiply @t156 @t195)) % 2.19/2.47 (define @t411 () (tptp.multiply @t156 @t194)) % 2.19/2.47 (define @t412 () (tptp.multiply @t411 tptp.sk_c8)) % 2.19/2.47 (define @t413 () (and @t161 @t122 @t351 @t252 @t130 @t175 @t149 @t145 @t206 @t349 @t366 @t367 @t164 @t166 @t160 @t168 @t218 @t370 @t221 @t231 @t198 @t114 @t371 @t372 @t376 @t378 @t380 @t383 @t384 @t238 @t240 @t244 @t387 @t389 @t391)) % 2.19/2.47 (define @t414 () (not @t391)) % 2.19/2.47 (define @t415 () (not @t384)) % 2.19/2.47 (define @t416 () (not @t380)) % 2.19/2.47 (define @t417 () (not @t372)) % 2.19/2.47 (define @t418 () (not @t371)) % 2.19/2.47 (define @t419 () (not @t114)) % 2.19/2.47 (define @t420 () (not @t367)) % 2.19/2.47 (define @t421 () (not @t366)) % 2.19/2.47 (define @t422 () (and @t161 @t122 @t351 @t252 @t130 @t175 @t149 @t145 @t206 @t349 @t366 @t367 @t164 @t166 @t215 @t160 @t168 @t218 @t221 @t198 @t114 @t371 @t372 @t380 @t384 @t238 @t240 @t244 @t391)) % 2.19/2.47 (define @t423 () (tptp.multiply @t10 @t100)) % 2.19/2.47 (define @t424 () (tptp.multiply @t34 @t100)) % 2.19/2.47 (define @t425 () (and @t161 @t252 @t130 @t175 @t149 @t145 @t206 @t367 @t164 @t166 @t215 @t160 @t168 @t221 @t227 @t198 @t371 @t384 @t238 @t240 @t244)) % 2.19/2.47 (define @t426 () (and @t161 @t252 @t130 @t175 @t149 @t145 @t206 @t367 @t164 @t166 @t215 @t160 @t168 @t221 @t227 @t231 @t198 @t371 @t384 @t238 @t240 @t244)) % 2.19/2.47 (define @t427 () (@list true)) % 2.19/2.47 (define @t428 () (@list @t122)) % 2.19/2.47 (define @t429 () (= tptp.sk_c8 @t23)) % 2.19/2.47 (define @t430 () (@list @t177)) % 2.19/2.47 (define @t431 () (= @t23 (tptp.multiply tptp.identity @t23))) % 2.19/2.47 (define @t432 () (not @t431)) % 2.19/2.47 (define @t433 () (tptp.multiply tptp.identity @t108)) % 2.19/2.47 (define @t434 () (= @t108 @t433)) % 2.19/2.47 (define @t435 () (not @t434)) % 2.19/2.47 (define @t436 () (tptp.multiply @t108 tptp.sk_c8)) % 2.19/2.47 (define @t437 () (tptp.multiply tptp.sk_c10 @t436)) % 2.19/2.47 (define @t438 () (= (tptp.multiply @t111 tptp.sk_c8) @t437)) % 2.19/2.47 (define @t439 () (not @t438)) % 2.19/2.47 (define @t440 () (not @t429)) % 2.19/2.47 (define @t441 () (and @t161 @t342 @t339 @t351 @t429 @t123 @t175 @t206 @t349 @t367 @t164 @t346 @t168 @t438 @t114 @t371 @t380 @t434 @t431)) % 2.19/2.47 (assume @p1 @t4) % 2.19/2.47 (assume @p2 @t6) % 2.19/2.47 (assume @p3 @t9) % 2.19/2.47 (assume @p4 @t11) % 2.19/2.47 (assume @p5 @t16) % 2.19/2.47 (assume @p6 @t19) % 2.19/2.47 (assume @p7 @t22) % 2.19/2.47 (assume @p8 @t25) % 2.19/2.47 (assume @p9 (or @t15 @t26)) % 2.19/2.47 (assume @p10 (or @t15 @t27)) % 2.19/2.47 (assume @p11 @t30) % 2.19/2.47 (assume @p12 @t33) % 2.19/2.47 (assume @p13 (or @t35 @t13)) % 2.19/2.47 (assume @p14 (or @t35 @t18)) % 2.19/2.47 (assume @p15 @t36) % 2.19/2.47 (assume @p16 (or @t35 @t24)) % 2.19/2.47 (assume @p17 (or @t35 @t26)) % 2.19/2.47 (assume @p18 (or @t35 @t27)) % 2.19/2.47 (assume @p19 (or @t35 @t29)) % 2.19/2.47 (assume @p20 @t37) % 2.19/2.47 (assume @p21 @t40) % 2.19/2.47 (assume @p22 @t41) % 2.19/2.47 (assume @p23 @t42) % 2.19/2.47 (assume @p24 (or @t39 @t24)) % 2.19/2.47 (assume @p25 (or @t39 @t26)) % 2.19/2.47 (assume @p26 (or @t39 @t27)) % 2.19/2.47 (assume @p27 @t43) % 2.19/2.47 (assume @p28 @t44) % 2.19/2.47 (assume @p29 @t47) % 2.19/2.47 (assume @p30 @t48) % 2.19/2.47 (assume @p31 @t49) % 2.19/2.47 (assume @p32 (or @t46 @t24)) % 2.19/2.47 (assume @p33 (or @t46 @t26)) % 2.19/2.47 (assume @p34 (or @t46 @t27)) % 2.19/2.47 (assume @p35 @t50) % 2.19/2.47 (assume @p36 @t51) % 2.19/2.47 (assume @p37 @t54) % 2.19/2.47 (assume @p38 @t55) % 2.19/2.47 (assume @p39 @t56) % 2.19/2.47 (assume @p40 (or @t53 @t24)) % 2.19/2.47 (assume @p41 (or @t53 @t26)) % 2.19/2.47 (assume @p42 (or @t53 @t27)) % 2.19/2.47 (assume @p43 @t57) % 2.19/2.47 (assume @p44 @t58) % 2.19/2.47 (assume @p45 @t93) % 2.19/2.47 (step @p46 :rule symm :premises (@p4)) % 2.19/2.47 (step @p47 :rule eq-symm :args (@t5 tptp.identity)) % 2.19/2.47 (step @p48 :rule cong :premises (@p47) :args (@t6)) % 2.19/2.47 (step @p49 :rule eq_resolve :premises (@p2 @p48)) % 2.19/2.47 (step @p50 :rule instantiate :premises (@p49) :args (@t94)) % 2.19/2.47 (step @p51 :rule instantiate :premises (@p49) :args (@t95)) % 2.19/2.47 (step @p52 :rule instantiate :premises (@p49) :args (@t101)) % 2.19/2.47 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2.19/2.48 (step @p2153 :rule refl :args (@t440)) % 2.19/2.48 (step @p2154 :rule nary_cong :premises (@p1107 @p1170 @p1184 @p1183 @p2153 @p2152 @p2151 @p2150 @p1179 @p2149 @p1178 @p1176 @p1173 @p2148 @p2147 @p2146 @p2145 @p2144 @p2143 @p1181) :args ((or @t192 @t343 @t353 @t352 @t440 (not @t123) @t176 @t265 @t350 @t420 @t191 @t347 @t188 @t439 @t419 @t418 @t416 @t435 @t432 @t173))) % 2.19/2.48 (assume-push @p3305 @t161) % 2.19/2.48 (assume-push @p3306 @t342) % 2.19/2.48 (assume-push @p3307 @t339) % 2.19/2.48 (assume-push @p3308 @t351) % 2.19/2.48 (assume-push @p3309 @t429) % 2.19/2.48 (assume-push @p3310 @t123) % 2.19/2.48 (assume-push @p3311 @t175) % 2.19/2.48 (assume-push @p3312 @t206) % 2.19/2.48 (assume-push @p3313 @t349) % 2.19/2.48 (assume-push @p3314 @t367) % 2.19/2.48 (assume-push @p3315 @t164) % 2.19/2.48 (assume-push @p3316 @t346) % 2.19/2.48 (assume-push @p3317 @t168) % 2.19/2.48 (assume-push @p3318 @t438) % 2.19/2.48 (assume-push @p3319 @t114) % 2.19/2.48 (assume-push @p3320 @t371) % 2.19/2.48 (assume-push @p3321 @t380) % 2.19/2.48 (assume-push @p3322 @t434) % 2.19/2.48 (assume-push @p3323 @t431) % 2.19/2.48 (assume-push @p3324 @t123) % 2.19/2.48 (assume-push @p3325 @t342) % 2.19/2.48 (assume-push @p3326 @t339) % 2.19/2.48 (assume-push @p3327 @t346) % 2.19/2.48 (assume-push @p3328 @t351) % 2.19/2.48 (assume-push @p3329 @t349) % 2.19/2.48 (assume-push @p3330 @t164) % 2.19/2.48 (assume-push @p3331 @t168) % 2.19/2.48 (assume-push @p3332 @t429) % 2.19/2.48 (assume-push @p3333 @t431) % 2.19/2.48 (assume-push @p3334 @t367) % 2.19/2.48 (assume-push @p3335 @t175) % 2.19/2.48 (assume-push @p3336 @t161) % 2.19/2.48 (assume-push @p3337 @t371) % 2.19/2.48 (assume-push @p3338 @t114) % 2.19/2.48 (assume-push @p3339 @t380) % 2.19/2.48 (assume-push @p3340 @t206) % 2.19/2.48 (assume-push @p3341 @t434) % 2.19/2.48 (assume-push @p3342 @t438) % 2.19/2.48 (step @p2193 :rule false_intro :premises (@p3310)) % 2.19/2.48 (step @p381 :rule refl :args (tptp.sk_c8)) % 2.19/2.48 (step @p2194 :rule symm :premises (@p3306)) % 2.19/2.48 (step @p2195 :rule symm :premises (@p3307)) % 2.19/2.48 (step @p105 :rule refl :args (tptp.sk_c10)) % 2.19/2.48 (step @p2196 :rule cong :premises (@p105 @p2195) :args (@t344)) % 2.19/2.48 (step @p1240 :rule refl :args (tptp.sk_c3)) % 2.19/2.48 (step @p2197 :rule symm :premises (@p3308)) % 2.19/2.48 (step @p2198 :rule cong :premises (@p2197 @p1240) :args (@t348)) % 2.19/2.48 (step @p174 :rule symm :premises (@p53)) % 2.19/2.48 (step @p2199 :rule trans :premises (@p174 @p51 @p2198)) % 2.19/2.48 (step @p2200 :rule trans :premises (@p53 @p2199)) % 2.19/2.48 (step @p2201 :rule cong :premises (@p2200 @p105) :args (@t167)) % 2.19/2.48 (step @p2202 :rule trans :premises (@p58 @p2201 @p54 @p2196 @p2194)) % 2.19/2.48 (step @p2203 :rule cong :premises (@p2202 @p381) :args (@t34)) % 2.19/2.48 (step @p2204 :rule symm :premises (@p3309)) % 2.19/2.48 (step @p2205 :rule cong :premises (@p105 @p2204) :args ((tptp.multiply tptp.sk_c10 @t23))) % 2.19/2.48 (step @p2206 :rule symm :premises (@p73)) % 2.19/2.48 (step @p1482 :rule symm :premises (@p52)) % 2.19/2.48 (step @p1483 :rule symm :premises (@p70)) % 2.19/2.48 (step @p1484 :rule refl :args (@t100)) % 2.19/2.48 (step @p2207 :rule symm :premises (@p2200)) % 2.19/2.48 (step @p2208 :rule cong :premises (@p2207 @p1484) :args (@t110)) % 2.19/2.48 (step @p2209 :rule trans :premises (@p69 @p2208 @p1483)) % 2.19/2.48 (step @p2210 :rule symm :premises (@p2202)) % 2.19/2.48 (step @p2211 :rule trans :premises (@p4 @p2210 @p3311)) % 2.19/2.48 (step @p2212 :rule cong :premises (@p2211 @p2209) :args (@t379)) % 2.19/2.48 (step @p1503 :rule refl :args (@t108)) % 2.19/2.48 (step @p420 :rule cong :premises (@p46 @p105) :args (@t242)) % 2.19/2.48 (step @p1504 :rule cong :premises (@p420 @p1503) :args (@t407)) % 2.19/2.48 (step @p2213 :rule trans :premises (@p1504 @p71 @p2212 @p1482 @p53)) % 2.19/2.48 (step @p2214 :rule trans :premises (@p2213 @p174)) % 2.19/2.48 (step @p2215 :rule cong :premises (@p2214 @p3309) :args ((tptp.multiply @t407 tptp.sk_c8))) % 2.19/2.48 (step @p1506 :rule symm :premises (@p1504)) % 2.19/2.48 (step @p2216 :rule cong :premises (@p50 @p1503) :args (@t433)) % 2.19/2.48 (step @p2217 :rule trans :premises (@p72 @p2216 @p1506)) % 2.19/2.48 (step @p2218 :rule cong :premises (@p2217 @p381) :args (@t436)) % 2.19/2.48 (step @p2219 :rule trans :premises (@p2218 @p2215 @p2206)) % 2.19/2.48 (step @p2220 :rule cong :premises (@p2210 @p2219) :args ((tptp.multiply tptp.sk_c9 @t436))) % 2.19/2.48 (step @p2221 :rule refl :args (@t436)) % 2.19/2.48 (step @p2222 :rule cong :premises (@p2202 @p2221) :args (@t437)) % 2.19/2.48 (step @p2223 :rule symm :premises (@p2209)) % 2.19/2.48 (step @p2224 :rule cong :premises (@p2223 @p381) :args (@t171)) % 2.19/2.48 (step @p2225 :rule trans :premises (@p2224 @p59 @p2222 @p2220 @p2205 @p2203)) % 2.19/2.48 (step @p2226 :rule cong :premises (@p105 @p2225) :args (@t172)) % 2.19/2.48 (step @p2227 :rule trans :premises (@p2226 @p2193)) % 2.19/2.48 (step @p2228 :rule false_elim :premises (@p2227)) % 2.19/2.48 (step-pop @p3343 :rule scope :premises (@p2228)) % 2.19/2.48 (step-pop @p3344 :rule scope :premises (@p3343)) % 2.19/2.48 (step-pop @p3345 :rule scope :premises (@p3344)) % 2.19/2.48 (step-pop @p3346 :rule scope :premises (@p3345)) % 2.19/2.48 (step-pop @p3347 :rule scope :premises (@p3346)) % 2.19/2.48 (step-pop @p3348 :rule scope :premises (@p3347)) % 2.19/2.48 (step-pop @p3349 :rule scope :premises (@p3348)) % 2.19/2.48 (step-pop @p3350 :rule scope :premises (@p3349)) % 2.19/2.48 (step-pop @p3351 :rule scope :premises (@p3350)) % 2.19/2.48 (step-pop @p3352 :rule scope :premises (@p3351)) % 2.19/2.48 (step-pop @p3353 :rule scope :premises (@p3352)) % 2.19/2.48 (step-pop @p3354 :rule scope :premises (@p3353)) % 2.19/2.48 (step-pop @p3355 :rule scope :premises (@p3354)) % 2.19/2.48 (step-pop @p3356 :rule scope :premises (@p3355)) % 2.19/2.48 (step-pop @p3357 :rule scope :premises (@p3356)) % 2.19/2.48 (step-pop @p3358 :rule scope :premises (@p3357)) % 2.19/2.48 (step-pop @p3359 :rule scope :premises (@p3358)) % 2.19/2.48 (step-pop @p3360 :rule scope :premises (@p3359)) % 2.19/2.48 (step-pop @p3361 :rule scope :premises (@p3360)) % 2.19/2.48 (step @p2229 :rule process_scope :premises (@p3361) :args (@t173)) % 2.19/2.48 (step @p2249 :rule and_intro :premises (@p3310 @p3306 @p3307 @p54 @p3308 @p51 @p53 @p58 @p3309 @p73 @p52 @p3311 @p46 @p70 @p69 @p71 @p50 @p72 @p59)) % 2.19/2.48 (step @p2250 :rule modus_ponens :premises (@p2249 @p2229)) % 2.19/2.48 (step-pop @p3362 :rule scope :premises (@p2250)) % 2.19/2.48 (step-pop @p3363 :rule scope :premises (@p3362)) % 2.19/2.48 (step-pop @p3364 :rule scope :premises (@p3363)) % 2.19/2.48 (step-pop @p3365 :rule scope :premises (@p3364)) % 2.19/2.48 (step-pop @p3366 :rule scope :premises (@p3365)) % 2.19/2.48 (step-pop @p3367 :rule scope :premises (@p3366)) % 2.19/2.48 (step-pop @p3368 :rule scope :premises (@p3367)) % 2.19/2.48 (step-pop @p3369 :rule scope :premises (@p3368)) % 2.19/2.48 (step-pop @p3370 :rule scope :premises (@p3369)) % 2.19/2.48 (step-pop @p3371 :rule scope :premises (@p3370)) % 2.19/2.48 (step-pop @p3372 :rule scope :premises (@p3371)) % 2.19/2.48 (step-pop @p3373 :rule scope :premises (@p3372)) % 2.19/2.48 (step-pop @p3374 :rule scope :premises (@p3373)) % 2.19/2.48 (step-pop @p3375 :rule scope :premises (@p3374)) % 2.19/2.48 (step-pop @p3376 :rule scope :premises (@p3375)) % 2.19/2.48 (step-pop @p3377 :rule scope :premises (@p3376)) % 2.19/2.48 (step-pop @p3378 :rule scope :premises (@p3377)) % 2.19/2.48 (step-pop @p3379 :rule scope :premises (@p3378)) % 2.19/2.48 (step-pop @p3380 :rule scope :premises (@p3379)) % 2.19/2.48 (step @p2251 :rule process_scope :premises (@p3380) :args (@t173)) % 2.19/2.48 (step @p2271 :rule implies_elim :premises (@p2251)) % 2.19/2.48 (step @p2272 :rule cnf_and_neg :args (@t441)) % 2.19/2.48 (step @p2273 :rule resolution :premises (@p2272 @p2271) :args (true @t441)) % 2.19/2.48 (step @p2274 :rule eq_resolve :premises (@p2273 @p2154)) % 2.19/2.48 (step @p2275 :rule reordering :premises (@p2274) :args ((or @t122 @t192 @t343 @t353 @t352 @t440 @t176 @t173 @t265 @t350 @t420 @t191 @t347 @t188 @t439 @t419 @t418 @t416 @t435 @t432))) % 2.19/2.48 (step @p2276 false :rule chain_m_resolution :premises (@p2275 @p2142 @p2141 @p2132 @p2128 @p2125 @p2122 @p2119 @p73 @p72 @p71 @p70 @p69 @p59 @p58 @p54 @p53 @p52 @p51 @p50 @p46) :args (false (@list false false false false false false true false false false false false false false false false false false false false) (@list @t172 @t175 @t429 @t351 @t339 @t342 @t122 @t431 @t434 @t380 @t371 @t114 @t438 @t168 @t346 @t164 @t367 @t349 @t206 @t161))) % 2.19/2.48 ) % 2.19/2.48 % SZS output end Proof % 2.19/2.48 % cvc5 exiting %------------------------------------------------------------------------------