%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP350-1 : 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 : n008.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 08:20:33 AM UTC 2026 % Result : Unsatisfiable 16.05s 16.41s % Output : Proof 16.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP350-1 : 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 % 0.17/0.34 % Computer : n008.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 01:02:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.03/16.20 --- Run --no-e-matching --full-saturate-quant at 6... % 16.05/16.41 % SZS status Unsatisfiable % 16.05/16.41 % SZS output start Proof % 16.05/16.44 ( % 16.05/16.44 (declare-sort $$unsorted 0) % 16.05/16.44 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.05/16.44 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.05/16.44 (declare-const tptp.identity $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c4 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c10 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c1 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c2 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c3 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c8 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c5 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c9 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c6 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c11 $$unsorted) % 16.05/16.44 (declare-const tptp.sk_c7 $$unsorted) % 16.05/16.44 (define @t1 () (@var "X" $$unsorted)) % 16.05/16.44 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.05/16.44 (define @t3 () (@list @t1)) % 16.05/16.44 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.05/16.44 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.05/16.44 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.05/16.44 (define @t7 () (@var "Z" $$unsorted)) % 16.05/16.44 (define @t8 () (@var "Y" $$unsorted)) % 16.05/16.44 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.05/16.44 (define @t10 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 16.05/16.44 (define @t11 () (= @t10 tptp.sk_c10)) % 16.05/16.44 (define @t12 () (tptp.multiply tptp.sk_c10 tptp.sk_c11)) % 16.05/16.44 (define @t13 () (= @t12 tptp.sk_c9)) % 16.05/16.44 (define @t14 () (or @t13 @t11)) % 16.05/16.44 (define @t15 () (tptp.inverse tptp.sk_c3)) % 16.05/16.44 (define @t16 () (= @t15 tptp.sk_c11)) % 16.05/16.44 (define @t17 () (or @t13 @t16)) % 16.05/16.44 (define @t18 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 16.05/16.44 (define @t19 () (= @t18 tptp.sk_c9)) % 16.05/16.44 (define @t20 () (or @t13 @t19)) % 16.05/16.44 (define @t21 () (tptp.inverse tptp.sk_c4)) % 16.05/16.44 (define @t22 () (= @t21 tptp.sk_c10)) % 16.05/16.44 (define @t23 () (or @t13 @t22)) % 16.05/16.44 (define @t24 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.05/16.44 (define @t25 () (= @t24 tptp.sk_c11)) % 16.05/16.44 (define @t26 () (or @t13 @t25)) % 16.05/16.44 (define @t27 () (tptp.inverse tptp.sk_c5)) % 16.05/16.44 (define @t28 () (= @t27 tptp.sk_c8)) % 16.05/16.44 (define @t29 () (or @t13 @t28)) % 16.05/16.44 (define @t30 () (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) % 16.05/16.44 (define @t31 () (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) % 16.05/16.44 (define @t32 () (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) % 16.05/16.44 (define @t33 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) % 16.05/16.44 (define @t34 () (tptp.inverse tptp.sk_c10)) % 16.05/16.44 (define @t35 () (= @t34 tptp.sk_c9)) % 16.05/16.44 (define @t36 () (or @t35 @t11)) % 16.05/16.44 (define @t37 () (or @t35 @t16)) % 16.05/16.44 (define @t38 () (or @t35 @t22)) % 16.05/16.44 (define @t39 () (or @t35 @t25)) % 16.05/16.44 (define @t40 () (or @t35 @t28)) % 16.05/16.44 (define @t41 () (tptp.multiply tptp.sk_c9 tptp.sk_c11)) % 16.05/16.44 (define @t42 () (= @t41 tptp.sk_c10)) % 16.05/16.44 (define @t43 () (or @t42 @t19)) % 16.05/16.44 (define @t44 () (or @t42 @t22)) % 16.05/16.44 (define @t45 () (tptp.inverse tptp.sk_c1)) % 16.05/16.44 (define @t46 () (= @t45 tptp.sk_c11)) % 16.05/16.44 (define @t47 () (or @t46 @t11)) % 16.05/16.44 (define @t48 () (or @t46 @t16)) % 16.05/16.44 (define @t49 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 16.05/16.44 (define @t50 () (= @t49 tptp.sk_c11)) % 16.05/16.44 (define @t51 () (or @t50 @t11)) % 16.05/16.44 (define @t52 () (or @t50 @t16)) % 16.05/16.44 (define @t53 () (tptp.inverse tptp.sk_c2)) % 16.05/16.44 (define @t54 () (= @t53 tptp.sk_c10)) % 16.05/16.44 (define @t55 () (or @t54 @t11)) % 16.05/16.44 (define @t56 () (or @t54 @t16)) % 16.05/16.44 (define @t57 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 16.05/16.44 (define @t58 () (= @t57 tptp.sk_c10)) % 16.05/16.44 (define @t59 () (or @t58 @t11)) % 16.05/16.44 (define @t60 () (or @t58 @t16)) % 16.05/16.44 (define @t61 () (@var "X8" $$unsorted)) % 16.05/16.44 (define @t62 () (@var "X6" $$unsorted)) % 16.05/16.44 (define @t63 () (@var "X7" $$unsorted)) % 16.05/16.44 (define @t64 () (tptp.multiply @t63 @t62)) % 16.05/16.44 (define @t65 () (not (= @t64 @t61))) % 16.05/16.44 (define @t66 () (tptp.inverse @t61)) % 16.05/16.44 (define @t67 () (not (= @t66 @t62))) % 16.05/16.44 (define @t68 () (tptp.inverse @t63)) % 16.05/16.44 (define @t69 () (not (= @t68 @t61))) % 16.05/16.44 (define @t70 () (tptp.multiply @t62 tptp.sk_c10)) % 16.05/16.44 (define @t71 () (not (= @t70 tptp.sk_c11))) % 16.05/16.44 (define @t72 () (@var "X5" $$unsorted)) % 16.05/16.44 (define @t73 () (tptp.inverse @t72)) % 16.05/16.44 (define @t74 () (not (= @t73 @t62))) % 16.05/16.44 (define @t75 () (tptp.multiply @t72 @t62)) % 16.05/16.44 (define @t76 () (not (= @t75 tptp.sk_c11))) % 16.05/16.44 (define @t77 () (@var "X2" $$unsorted)) % 16.05/16.44 (define @t78 () (tptp.inverse @t77)) % 16.05/16.44 (define @t79 () (not (= @t78 tptp.sk_c10))) % 16.05/16.44 (define @t80 () (tptp.multiply @t77 tptp.sk_c10)) % 16.05/16.44 (define @t81 () (not (= @t80 tptp.sk_c9))) % 16.05/16.44 (define @t82 () (@var "X1" $$unsorted)) % 16.05/16.44 (define @t83 () (tptp.inverse @t82)) % 16.05/16.44 (define @t84 () (not (= @t83 tptp.sk_c11))) % 16.05/16.44 (define @t85 () (tptp.multiply @t82 tptp.sk_c11)) % 16.05/16.44 (define @t86 () (not (= @t85 tptp.sk_c10))) % 16.05/16.44 (define @t87 () (@var "X4" $$unsorted)) % 16.05/16.44 (define @t88 () (tptp.multiply @t87 tptp.sk_c9)) % 16.05/16.44 (define @t89 () (not (= @t88 tptp.sk_c10))) % 16.05/16.44 (define @t90 () (tptp.inverse @t87)) % 16.05/16.44 (define @t91 () (not (= @t90 tptp.sk_c10))) % 16.05/16.44 (define @t92 () (@var "X3" $$unsorted)) % 16.05/16.44 (define @t93 () (tptp.multiply @t92 tptp.sk_c10)) % 16.05/16.44 (define @t94 () (not (= @t93 tptp.sk_c11))) % 16.05/16.44 (define @t95 () (tptp.inverse @t92)) % 16.05/16.44 (define @t96 () (not (= @t95 tptp.sk_c11))) % 16.05/16.44 (define @t97 () (not @t42)) % 16.05/16.44 (define @t98 () (not @t35)) % 16.05/16.44 (define @t99 () (not @t13)) % 16.05/16.44 (define @t100 () (or @t99 @t98 @t97 @t96 @t94 @t91 @t89 @t86 @t84 @t81 @t79 @t76 @t74 @t71 @t69 @t67 @t65)) % 16.05/16.44 (define @t101 () (@list @t92 @t87 @t82 @t77 @t72 @t62 @t63 @t61)) % 16.05/16.44 (define @t102 () (forall @t101 @t100)) % 16.05/16.44 (define @t103 () (@list tptp.sk_c10)) % 16.05/16.44 (define @t104 () (@list tptp.sk_c4)) % 16.05/16.44 (define @t105 () (@list tptp.sk_c3)) % 16.05/16.44 (define @t106 () (@list tptp.sk_c8)) % 16.05/16.44 (define @t107 () (tptp.inverse tptp.sk_c8)) % 16.05/16.44 (define @t108 () (tptp.multiply tptp.sk_c11 tptp.sk_c11)) % 16.05/16.44 (define @t109 () (= tptp.sk_c11 @t49)) % 16.05/16.44 (define @t110 () (not @t109)) % 16.05/16.44 (define @t111 () (= tptp.sk_c11 @t45)) % 16.05/16.44 (define @t112 () (not @t111)) % 16.05/16.44 (define @t113 () (or @t112 @t110)) % 16.05/16.44 (define @t114 () (not (= tptp.sk_c11 @t93))) % 16.05/16.44 (define @t115 () (not (= tptp.sk_c11 @t95))) % 16.05/16.44 (define @t116 () (or @t115 @t114)) % 16.05/16.44 (define @t117 () (forall (@list @t92) @t116)) % 16.05/16.44 (define @t118 () (@list tptp.sk_c1)) % 16.05/16.44 (define @t119 () (= tptp.sk_c9 @t12)) % 16.05/16.44 (define @t120 () (= tptp.sk_c9 @t34)) % 16.05/16.44 (define @t121 () (= tptp.sk_c10 @t41)) % 16.05/16.44 (define @t122 () (tptp.multiply tptp.identity tptp.identity)) % 16.05/16.44 (define @t123 () (= tptp.identity @t122)) % 16.05/16.44 (define @t124 () (tptp.multiply tptp.identity tptp.sk_c11)) % 16.05/16.44 (define @t125 () (= tptp.sk_c11 @t124)) % 16.05/16.44 (define @t126 () (tptp.multiply tptp.identity tptp.sk_c10)) % 16.05/16.44 (define @t127 () (= tptp.sk_c10 @t126)) % 16.05/16.44 (define @t128 () (tptp.multiply @t34 tptp.sk_c10)) % 16.05/16.44 (define @t129 () (= tptp.identity @t128)) % 16.05/16.44 (define @t130 () (tptp.multiply tptp.sk_c11 tptp.identity)) % 16.05/16.44 (define @t131 () (tptp.multiply tptp.sk_c11 @t130)) % 16.05/16.44 (define @t132 () (tptp.multiply @t108 tptp.identity)) % 16.05/16.44 (define @t133 () (= @t132 @t131)) % 16.05/16.44 (define @t134 () (tptp.multiply tptp.sk_c11 @t108)) % 16.05/16.44 (define @t135 () (tptp.multiply @t108 tptp.sk_c11)) % 16.05/16.44 (define @t136 () (= @t135 @t134)) % 16.05/16.44 (define @t137 () (tptp.multiply @t34 @t12)) % 16.05/16.44 (define @t138 () (tptp.multiply @t128 tptp.sk_c11)) % 16.05/16.44 (define @t139 () (= @t138 @t137)) % 16.05/16.44 (define @t140 () (tptp.multiply tptp.sk_c9 @t41)) % 16.05/16.44 (define @t141 () (tptp.multiply tptp.sk_c9 tptp.sk_c9)) % 16.05/16.44 (define @t142 () (tptp.multiply @t141 tptp.sk_c11)) % 16.05/16.44 (define @t143 () (= @t142 @t140)) % 16.05/16.44 (define @t144 () (tptp.multiply tptp.sk_c9 @t108)) % 16.05/16.44 (define @t145 () (tptp.multiply @t41 tptp.sk_c11)) % 16.05/16.44 (define @t146 () (= @t145 @t144)) % 16.05/16.44 (define @t147 () (tptp.multiply @t45 tptp.sk_c1)) % 16.05/16.44 (define @t148 () (= tptp.identity @t147)) % 16.05/16.44 (define @t149 () (tptp.multiply @t45 @t49)) % 16.05/16.44 (define @t150 () (tptp.multiply @t147 tptp.sk_c10)) % 16.05/16.44 (define @t151 () (= @t150 @t149)) % 16.05/16.44 (define @t152 () (tptp.multiply tptp.sk_c9 tptp.identity)) % 16.05/16.45 (define @t153 () (tptp.multiply tptp.identity @t126)) % 16.05/16.45 (define @t154 () (tptp.multiply @t122 tptp.sk_c10)) % 16.05/16.45 (define @t155 () (= tptp.sk_c10 @t12)) % 16.05/16.45 (define @t156 () (and @t119 @t120 @t121 @t111 @t109 @t123 @t125 @t127 @t129 @t133 @t136 @t139 @t143 @t146 @t148 @t151)) % 16.05/16.45 (define @t157 () (not @t151)) % 16.05/16.45 (define @t158 () (not @t148)) % 16.05/16.45 (define @t159 () (not @t146)) % 16.05/16.45 (define @t160 () (not @t143)) % 16.05/16.45 (define @t161 () (not @t139)) % 16.05/16.45 (define @t162 () (not @t136)) % 16.05/16.45 (define @t163 () (not @t133)) % 16.05/16.45 (define @t164 () (not @t129)) % 16.05/16.45 (define @t165 () (not @t127)) % 16.05/16.45 (define @t166 () (not @t125)) % 16.05/16.45 (define @t167 () (not @t123)) % 16.05/16.45 (define @t168 () (not @t121)) % 16.05/16.45 (define @t169 () (not @t120)) % 16.05/16.45 (define @t170 () (not @t119)) % 16.05/16.45 (define @t171 () (tptp.multiply tptp.identity @t130)) % 16.05/16.45 (define @t172 () (tptp.multiply @t124 tptp.identity)) % 16.05/16.45 (define @t173 () (= @t172 @t171)) % 16.05/16.45 (define @t174 () (tptp.multiply tptp.sk_c10 @t130)) % 16.05/16.45 (define @t175 () (tptp.multiply @t12 tptp.identity)) % 16.05/16.45 (define @t176 () (= @t175 @t174)) % 16.05/16.45 (define @t177 () (= tptp.sk_c10 @t124)) % 16.05/16.45 (define @t178 () (= tptp.sk_c11 @t34)) % 16.05/16.45 (define @t179 () (and @t119 @t120 @t121 @t111 @t109 @t123 @t125 @t127 @t129 @t173 @t133 @t136 @t139 @t143 @t146 @t176 @t148 @t151)) % 16.05/16.45 (define @t180 () (not @t176)) % 16.05/16.45 (define @t181 () (not @t173)) % 16.05/16.45 (define @t182 () (not @t178)) % 16.05/16.45 (define @t183 () (not @t155)) % 16.05/16.45 (define @t184 () (or @t183 @t182)) % 16.05/16.45 (define @t185 () (not (= tptp.sk_c11 @t83))) % 16.05/16.45 (define @t186 () (not (= tptp.sk_c10 @t85))) % 16.05/16.45 (define @t187 () (or @t186 @t185)) % 16.05/16.45 (define @t188 () (forall (@list @t82) @t187)) % 16.05/16.45 (define @t189 () (tptp.multiply tptp.sk_c10 tptp.sk_c10)) % 16.05/16.45 (define @t190 () (= tptp.sk_c9 @t189)) % 16.05/16.45 (define @t191 () (= tptp.sk_c10 @t34)) % 16.05/16.45 (define @t192 () (not @t191)) % 16.05/16.45 (define @t193 () (not @t190)) % 16.05/16.45 (define @t194 () (or @t193 @t192)) % 16.05/16.45 (define @t195 () (not (= tptp.sk_c10 @t78))) % 16.05/16.45 (define @t196 () (not (= tptp.sk_c9 @t80))) % 16.05/16.45 (define @t197 () (or @t196 @t195)) % 16.05/16.45 (define @t198 () (forall (@list @t77) @t197)) % 16.05/16.45 (define @t199 () (tptp.multiply tptp.sk_c10 @t34)) % 16.05/16.45 (define @t200 () (= tptp.sk_c11 @t199)) % 16.05/16.45 (define @t201 () (= tptp.sk_c11 @t128)) % 16.05/16.45 (define @t202 () (and @t119 @t120 @t121 @t111 @t109 @t123 @t125 @t127 @t129 @t173 @t133 @t136 @t139 @t143 @t176 @t148 @t151)) % 16.05/16.45 (define @t203 () (tptp.inverse tptp.identity)) % 16.05/16.45 (define @t204 () (= @t34 (tptp.inverse @t34))) % 16.05/16.45 (define @t205 () (= @t34 @t199)) % 16.05/16.45 (define @t206 () (not @t205)) % 16.05/16.45 (define @t207 () (not @t204)) % 16.05/16.45 (define @t208 () (not @t201)) % 16.05/16.45 (define @t209 () (not @t200)) % 16.05/16.45 (define @t210 () (or @t209 @t208 @t207 @t206)) % 16.05/16.45 (define @t211 () (tptp.multiply @t63 @t73)) % 16.05/16.45 (define @t212 () (not (= @t68 @t211))) % 16.05/16.45 (define @t213 () (not (= @t73 (tptp.inverse @t68)))) % 16.05/16.45 (define @t214 () (not (= tptp.sk_c11 (tptp.multiply @t73 tptp.sk_c10)))) % 16.05/16.45 (define @t215 () (not (= tptp.sk_c11 (tptp.multiply @t72 @t73)))) % 16.05/16.45 (define @t216 () (or @t215 @t214 @t213 @t212)) % 16.05/16.45 (define @t217 () (@list @t72 @t63)) % 16.05/16.45 (define @t218 () (forall @t217 @t216)) % 16.05/16.45 (define @t219 () (not (= @t68 @t68))) % 16.05/16.45 (define @t220 () (or @t215 @t214 @t219 @t213 @t212)) % 16.05/16.45 (define @t221 () (not (= @t61 @t211))) % 16.05/16.45 (define @t222 () (not (= @t73 @t66))) % 16.05/16.45 (define @t223 () (not (= @t61 @t68))) % 16.05/16.45 (define @t224 () (or @t223 @t215 @t214 @t223 @t222 @t221)) % 16.05/16.45 (define @t225 () (@list @t61)) % 16.05/16.45 (define @t226 () (or @t215 @t214 @t223 @t222 @t221)) % 16.05/16.45 (define @t227 () (forall @t225 @t226)) % 16.05/16.45 (define @t228 () (forall @t217 @t227)) % 16.05/16.45 (define @t229 () (@list @t72 @t63 @t61)) % 16.05/16.45 (define @t230 () (not (= @t73 @t73))) % 16.05/16.45 (define @t231 () (or @t215 @t230 @t214 @t223 @t222 @t221)) % 16.05/16.45 (define @t232 () (not (= @t61 @t64))) % 16.05/16.45 (define @t233 () (not (= @t62 @t66))) % 16.05/16.45 (define @t234 () (not (= tptp.sk_c11 @t70))) % 16.05/16.45 (define @t235 () (not (= @t62 @t73))) % 16.05/16.45 (define @t236 () (not (= tptp.sk_c11 @t75))) % 16.05/16.45 (define @t237 () (or @t235 @t236 @t235 @t234 @t223 @t233 @t232)) % 16.05/16.45 (define @t238 () (@list @t62)) % 16.05/16.45 (define @t239 () (or @t236 @t235 @t234 @t223 @t233 @t232)) % 16.05/16.45 (define @t240 () (forall @t238 @t239)) % 16.05/16.45 (define @t241 () (forall @t229 @t240)) % 16.05/16.45 (define @t242 () (forall (@list @t72 @t63 @t61 @t62) @t239)) % 16.05/16.45 (define @t243 () (forall (@list @t72 @t62 @t63 @t61) @t239)) % 16.05/16.45 (define @t244 () (not (= tptp.sk_c10 @t88))) % 16.05/16.45 (define @t245 () (not (= tptp.sk_c10 @t90))) % 16.05/16.45 (define @t246 () (or @t245 @t244)) % 16.05/16.45 (define @t247 () (forall (@list @t87) @t246)) % 16.05/16.45 (define @t248 () (or @t170 @t169 @t168 @t117 @t247 @t188 @t198 @t243)) % 16.05/16.45 (define @t249 () (or @t170 @t169 @t168 @t116 @t246 @t187 @t197 @t239)) % 16.05/16.45 (define @t250 () (or @t170 @t169 @t168 @t115 @t114 @t245 @t244 @t186 @t185 @t196 @t195 @t236 @t235 @t234 @t223 @t233 @t232)) % 16.05/16.45 (define @t251 () (= tptp.sk_c10 @t57)) % 16.05/16.45 (define @t252 () (not @t251)) % 16.05/16.45 (define @t253 () (= tptp.sk_c10 @t53)) % 16.05/16.45 (define @t254 () (not @t253)) % 16.05/16.45 (define @t255 () (or @t254 @t252)) % 16.05/16.45 (define @t256 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) % 16.05/16.45 (define @t257 () (not @t256)) % 16.05/16.45 (define @t258 () (= tptp.sk_c10 @t15)) % 16.05/16.45 (define @t259 () (not @t258)) % 16.05/16.45 (define @t260 () (or @t259 @t257)) % 16.05/16.45 (define @t261 () (forall @t3 (= tptp.identity @t5))) % 16.05/16.45 (define @t262 () (forall @t3 (= @t1 @t2))) % 16.05/16.45 (define @t263 () (= tptp.sk_c10 @t10)) % 16.05/16.45 (define @t264 () (= tptp.sk_c11 @t15)) % 16.05/16.45 (define @t265 () (and @t119 @t264 @t120 @t121 @t111 @t109 @t123 @t125 @t127 @t129 @t173 @t133 @t136 @t139 @t143 @t176 @t148 @t151)) % 16.05/16.45 (define @t266 () (not @t264)) % 16.05/16.45 (define @t267 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.05/16.45 (define @t268 () (= tptp.sk_c3 @t267)) % 16.05/16.45 (define @t269 () (tptp.multiply @t267 tptp.sk_c9)) % 16.05/16.45 (define @t270 () (tptp.multiply tptp.sk_c3 tptp.identity)) % 16.05/16.45 (define @t271 () (and @t119 @t263 @t120 @t121 @t111 @t109 @t123 @t125 @t127 @t129 @t173 @t268 @t133 @t136 @t139 @t143 @t146 @t176 @t148 @t151)) % 16.05/16.45 (define @t272 () (not @t268)) % 16.05/16.45 (define @t273 () (not @t263)) % 16.05/16.45 (define @t274 () (tptp.multiply @t15 tptp.sk_c3)) % 16.05/16.45 (define @t275 () (= tptp.identity @t274)) % 16.05/16.45 (define @t276 () (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) % 16.05/16.45 (define @t277 () (tptp.multiply tptp.sk_c11 tptp.sk_c3)) % 16.05/16.45 (define @t278 () (tptp.multiply tptp.sk_c11 @t277)) % 16.05/16.45 (define @t279 () (tptp.multiply @t108 tptp.sk_c3)) % 16.05/16.45 (define @t280 () (= @t279 @t278)) % 16.05/16.45 (define @t281 () (tptp.multiply @t108 tptp.sk_c1)) % 16.05/16.45 (define @t282 () (= @t281 (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) % 16.05/16.45 (define @t283 () (tptp.multiply @t267 tptp.sk_c3)) % 16.05/16.45 (define @t284 () (and @t119 @t263 @t264 @t120 @t121 @t111 @t123 @t125 @t129 @t268 @t275 @t133 @t136 @t139 @t143 @t276 @t148 @t280 @t282)) % 16.05/16.45 (define @t285 () (not @t280)) % 16.05/16.45 (define @t286 () (not @t275)) % 16.05/16.45 (define @t287 () (or @t273 @t266)) % 16.05/16.45 (define @t288 () (tptp.multiply tptp.sk_c9 @t141)) % 16.05/16.45 (define @t289 () (tptp.multiply @t141 tptp.sk_c9)) % 16.05/16.45 (define @t290 () (= @t289 @t288)) % 16.05/16.45 (define @t291 () (and @t119 @t264 @t120 @t121 @t125 @t129 @t268 @t275 @t136 @t139 @t143 @t290 @t280)) % 16.05/16.45 (define @t292 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.05/16.45 (define @t293 () (= tptp.sk_c9 @t292)) % 16.05/16.45 (define @t294 () (tptp.multiply tptp.sk_c3 @t108)) % 16.05/16.45 (define @t295 () (tptp.multiply @t10 tptp.sk_c11)) % 16.05/16.45 (define @t296 () (= @t295 @t294)) % 16.05/16.45 (define @t297 () (tptp.multiply @t292 tptp.sk_c9)) % 16.05/16.45 (define @t298 () (and @t119 @t263 @t264 @t120 @t121 @t125 @t129 @t293 @t268 @t275 @t136 @t139 @t143 @t146 @t176 @t296 @t280)) % 16.05/16.45 (define @t299 () (not @t296)) % 16.05/16.45 (define @t300 () (not @t293)) % 16.05/16.45 (define @t301 () (and @t119 @t263 @t264 @t120 @t121 @t123 @t125 @t129 @t293 @t268 @t275 @t133 @t136 @t139 @t143 @t146 @t176 @t296 @t280)) % 16.05/16.45 (define @t302 () (tptp.inverse tptp.sk_c9)) % 16.05/16.45 (define @t303 () (and @t119 @t263 @t264 @t120 @t121 @t125 @t129 @t268 @t275 @t136 @t139 @t143 @t146 @t176 @t296 @t280)) % 16.05/16.45 (define @t304 () (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 tptp.sk_c10))) % 16.05/16.45 (define @t305 () (and @t119 @t263 @t264 @t120 @t121 @t123 @t125 @t129 @t268 @t275 @t133 @t136 @t139 @t143 @t280)) % 16.05/16.45 (define @t306 () (not @t304)) % 16.05/16.45 (define @t307 () (or @t266 @t306)) % 16.05/16.45 (define @t308 () (= tptp.sk_c9 @t18)) % 16.05/16.45 (define @t309 () (= tptp.sk_c10 @t21)) % 16.05/16.45 (define @t310 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.05/16.45 (define @t311 () (= tptp.sk_c4 @t310)) % 16.05/16.45 (define @t312 () (tptp.multiply @t21 tptp.sk_c4)) % 16.05/16.45 (define @t313 () (= tptp.identity @t312)) % 16.05/16.45 (define @t314 () (tptp.inverse @t21)) % 16.05/16.45 (define @t315 () (= tptp.identity (tptp.multiply @t314 @t21))) % 16.05/16.45 (define @t316 () (tptp.multiply tptp.sk_c10 tptp.sk_c4)) % 16.05/16.45 (define @t317 () (tptp.multiply @t34 @t316)) % 16.05/16.45 (define @t318 () (tptp.multiply @t128 tptp.sk_c4)) % 16.05/16.45 (define @t319 () (= @t318 @t317)) % 16.05/16.45 (define @t320 () (tptp.multiply @t152 tptp.sk_c10)) % 16.05/16.45 (define @t321 () (= @t320 (tptp.multiply tptp.sk_c9 @t126))) % 16.05/16.45 (define @t322 () (and @t119 @t308 @t309 @t120 @t123 @t125 @t127 @t129 @t293 @t311 @t313 @t315 @t139 @t319 @t321)) % 16.05/16.45 (define @t323 () (not @t319)) % 16.05/16.45 (define @t324 () (not @t313)) % 16.05/16.45 (define @t325 () (not @t311)) % 16.05/16.45 (define @t326 () (not @t309)) % 16.05/16.45 (define @t327 () (not @t308)) % 16.05/16.45 (define @t328 () (= tptp.sk_c11 @t24)) % 16.05/16.45 (define @t329 () (= tptp.sk_c8 @t27)) % 16.05/16.45 (define @t330 () (tptp.multiply tptp.sk_c8 tptp.sk_c11)) % 16.05/16.45 (define @t331 () (tptp.multiply tptp.sk_c5 @t330)) % 16.05/16.45 (define @t332 () (tptp.multiply @t24 tptp.sk_c11)) % 16.05/16.45 (define @t333 () (= @t332 @t331)) % 16.05/16.45 (define @t334 () (not @t333)) % 16.05/16.45 (define @t335 () (tptp.multiply @t15 @t294)) % 16.05/16.45 (define @t336 () (tptp.multiply @t274 @t108)) % 16.05/16.45 (define @t337 () (= @t336 @t335)) % 16.05/16.45 (define @t338 () (not @t337)) % 16.05/16.45 (define @t339 () (tptp.multiply @t107 @t330)) % 16.05/16.45 (define @t340 () (tptp.multiply @t107 tptp.sk_c8)) % 16.05/16.45 (define @t341 () (tptp.multiply @t340 tptp.sk_c11)) % 16.05/16.45 (define @t342 () (= @t341 @t339)) % 16.05/16.45 (define @t343 () (not @t342)) % 16.05/16.45 (define @t344 () (tptp.multiply @t27 @t24)) % 16.05/16.45 (define @t345 () (tptp.multiply @t27 tptp.sk_c5)) % 16.05/16.45 (define @t346 () (tptp.multiply @t345 tptp.sk_c8)) % 16.05/16.45 (define @t347 () (= @t346 @t344)) % 16.05/16.45 (define @t348 () (not @t347)) % 16.05/16.45 (define @t349 () (= tptp.identity @t340)) % 16.05/16.45 (define @t350 () (not @t349)) % 16.05/16.45 (define @t351 () (= tptp.identity @t345)) % 16.05/16.45 (define @t352 () (not @t351)) % 16.05/16.45 (define @t353 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.05/16.45 (define @t354 () (= tptp.sk_c8 @t353)) % 16.05/16.45 (define @t355 () (not @t354)) % 16.05/16.45 (define @t356 () (tptp.multiply tptp.identity @t108)) % 16.05/16.45 (define @t357 () (tptp.multiply @t124 tptp.sk_c11)) % 16.05/16.45 (define @t358 () (= @t357 @t356)) % 16.05/16.45 (define @t359 () (not @t358)) % 16.05/16.45 (define @t360 () (not @t329)) % 16.05/16.45 (define @t361 () (not @t328)) % 16.05/16.45 (define @t362 () (= tptp.sk_c11 @t314)) % 16.05/16.45 (define @t363 () (not @t362)) % 16.05/16.45 (define @t364 () (= false true)) % 16.05/16.45 (define @t365 () (tptp.multiply @t27 tptp.sk_c11)) % 16.05/16.45 (define @t366 () (and @t363 @t362)) % 16.05/16.45 (define @t367 () (@list true)) % 16.05/16.45 (define @t368 () (@list @t119)) % 16.05/16.45 (define @t369 () (and @t193 @t190)) % 16.05/16.45 (assume @p1 @t4) % 16.05/16.45 (assume @p2 @t6) % 16.05/16.45 (assume @p3 @t9) % 16.05/16.45 (assume @p4 @t14) % 16.05/16.45 (assume @p5 @t17) % 16.05/16.45 (assume @p6 @t20) % 16.05/16.45 (assume @p7 @t23) % 16.05/16.45 (assume @p8 @t26) % 16.05/16.45 (assume @p9 @t29) % 16.05/16.45 (assume @p10 (or @t13 @t30)) % 16.05/16.45 (assume @p11 (or @t13 @t31)) % 16.05/16.45 (assume @p12 (or @t13 @t32)) % 16.05/16.45 (assume @p13 (or @t13 @t33)) % 16.05/16.45 (assume @p14 @t36) % 16.05/16.45 (assume @p15 @t37) % 16.05/16.45 (assume @p16 (or @t35 @t19)) % 16.05/16.45 (assume @p17 @t38) % 16.05/16.45 (assume @p18 @t39) % 16.05/16.45 (assume @p19 @t40) % 16.05/16.45 (assume @p20 (or @t35 @t30)) % 16.05/16.45 (assume @p21 (or @t35 @t31)) % 16.05/16.45 (assume @p22 (or @t35 @t32)) % 16.05/16.45 (assume @p23 (or @t35 @t33)) % 16.05/16.45 (assume @p24 (or @t42 @t11)) % 16.05/16.45 (assume @p25 (or @t42 @t16)) % 16.05/16.45 (assume @p26 @t43) % 16.05/16.45 (assume @p27 @t44) % 16.05/16.45 (assume @p28 (or @t42 @t25)) % 16.05/16.45 (assume @p29 (or @t42 @t28)) % 16.05/16.45 (assume @p30 (or @t42 @t30)) % 16.05/16.45 (assume @p31 (or @t42 @t31)) % 16.05/16.45 (assume @p32 (or @t42 @t32)) % 16.05/16.45 (assume @p33 (or @t42 @t33)) % 16.05/16.45 (assume @p34 @t47) % 16.05/16.45 (assume @p35 @t48) % 16.05/16.45 (assume @p36 (or @t46 @t19)) % 16.05/16.45 (assume @p37 (or @t46 @t22)) % 16.05/16.45 (assume @p38 (or @t46 @t25)) % 16.05/16.45 (assume @p39 (or @t46 @t28)) % 16.05/16.45 (assume @p40 (or @t46 @t30)) % 16.05/16.45 (assume @p41 (or @t46 @t31)) % 16.05/16.45 (assume @p42 (or @t46 @t32)) % 16.05/16.45 (assume @p43 (or @t46 @t33)) % 16.05/16.45 (assume @p44 @t51) % 16.05/16.45 (assume @p45 @t52) % 16.05/16.45 (assume @p46 (or @t50 @t19)) % 16.05/16.45 (assume @p47 (or @t50 @t22)) % 16.05/16.45 (assume @p48 (or @t50 @t25)) % 16.05/16.45 (assume @p49 (or @t50 @t28)) % 16.05/16.45 (assume @p50 (or @t50 @t30)) % 16.05/16.45 (assume @p51 (or @t50 @t31)) % 16.05/16.45 (assume @p52 (or @t50 @t32)) % 16.05/16.45 (assume @p53 (or @t50 @t33)) % 16.05/16.45 (assume @p54 @t55) % 16.05/16.45 (assume @p55 @t56) % 16.05/16.45 (assume @p56 (or @t54 @t19)) % 16.05/16.45 (assume @p57 (or @t54 @t22)) % 16.05/16.45 (assume @p58 (or @t54 @t25)) % 16.05/16.45 (assume @p59 (or @t54 @t28)) % 16.05/16.45 (assume @p60 (or @t54 @t30)) % 16.05/16.45 (assume @p61 (or @t54 @t31)) % 16.05/16.45 (assume @p62 (or @t54 @t32)) % 16.05/16.45 (assume @p63 (or @t54 @t33)) % 16.05/16.45 (assume @p64 @t59) % 16.05/16.45 (assume @p65 @t60) % 16.05/16.45 (assume @p66 (or @t58 @t19)) % 16.05/16.45 (assume @p67 (or @t58 @t22)) % 16.05/16.45 (assume @p68 (or @t58 @t25)) % 16.05/16.45 (assume @p69 (or @t58 @t28)) % 16.05/16.45 (assume @p70 (or @t58 @t30)) % 16.05/16.45 (assume @p71 (or @t58 @t31)) % 16.05/16.45 (assume @p72 (or @t58 @t32)) % 16.05/16.45 (assume @p73 (or @t58 @t33)) % 16.05/16.45 (assume @p74 @t102) % 16.05/16.45 (step @p75 :rule eq-symm :args (@t2 @t1)) % 16.05/16.45 (step @p76 :rule cong :premises (@p75) :args (@t4)) % 16.05/16.45 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 16.05/16.45 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.identity))) % 16.05/16.45 (step @p79 :rule instantiate :premises (@p77) :args ((@list tptp.sk_c11))) % 16.05/16.45 (step @p80 :rule instantiate :premises (@p77) :args (@t103)) % 16.05/16.45 (step @p81 :rule eq-symm :args (@t5 tptp.identity)) % 16.05/16.45 (step @p82 :rule cong :premises (@p81) :args (@t6)) % 16.05/16.45 (step @p83 :rule eq_resolve :premises (@p2 @p82)) % 16.05/16.45 (step @p84 :rule instantiate :premises (@p83) :args (@t103)) % 16.05/16.45 (step @p85 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.sk_c11 tptp.sk_c11))) % 16.05/16.45 (step @p86 :rule instantiate :premises (@p77) :args (@t104)) % 16.05/16.45 (step @p87 :rule instantiate :premises (@p83) :args (@t105)) % 16.05/16.45 (step @p88 :rule instantiate :premises (@p83) :args (@t104)) % 16.05/16.45 (step @p89 :rule instantiate :premises (@p77) :args (@t106)) % 16.05/16.45 (step @p90 :rule instantiate :premises (@p83) :args ((@list tptp.sk_c5))) % 16.05/16.45 (step @p91 :rule instantiate :premises (@p83) :args (@t106)) % 16.05/16.45 (step @p92 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.sk_c10 tptp.sk_c11))) % 16.05/16.45 (step @p93 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c3 tptp.sk_c11 tptp.sk_c11))) % 16.05/16.45 (step @p94 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.sk_c10 tptp.sk_c4))) % 16.05/16.45 (step @p95 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.sk_c5 tptp.sk_c8))) % 16.05/16.45 (step @p96 :rule instantiate :premises (@p3) :args ((@list @t107 tptp.sk_c8 tptp.sk_c11))) % 16.05/16.45 (step @p97 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c3 @t108))) % 16.05/16.45 (step @p98 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c5 tptp.sk_c8 tptp.sk_c11))) % 16.05/16.45 (step @p99 :rule cnf_or_pos :args (@t113)) % 16.05/16.45 (step @p100 :rule reordering :premises (@p99) :args ((or @t112 @t110 (not @t113)))) % 16.05/16.45 (assume-push @p3161 @t117) % 16.05/16.45 (step @p102 :rule instantiate :premises (@p3161) :args (@t118)) % 16.05/16.45 (step-pop @p3162 :rule scope :premises (@p102)) % 16.05/16.45 (step @p103 :rule process_scope :premises (@p3162) :args (@t113)) % 16.05/16.45 (step @p105 :rule implies_elim :premises (@p103)) % 16.05/16.45 (step @p106 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c11 tptp.identity))) % 16.05/16.45 (step @p107 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c11 tptp.sk_c11))) % 16.05/16.45 (step @p108 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 tptp.sk_c9 tptp.sk_c11))) % 16.05/16.45 (step @p109 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 tptp.sk_c11 tptp.sk_c11))) % 16.05/16.45 (step @p110 :rule instantiate :premises (@p83) :args (@t118)) % 16.05/16.45 (step @p111 :rule instantiate :premises (@p3) :args ((@list @t45 tptp.sk_c1 tptp.sk_c10))) % 16.05/16.45 (assume-push @p3163 @t119) % 16.05/16.45 (assume-push @p3164 @t120) % 16.05/16.45 (assume-push @p3165 @t121) % 16.05/16.45 (assume-push @p3166 @t111) % 16.05/16.45 (assume-push @p3167 @t109) % 16.05/16.45 (assume-push @p3168 @t123) % 16.05/16.45 (assume-push @p3169 @t125) % 16.05/16.45 (assume-push @p3170 @t127) % 16.05/16.45 (assume-push @p3171 @t129) % 16.05/16.45 (assume-push @p3172 @t133) % 16.05/16.45 (assume-push @p3173 @t136) % 16.05/16.45 (assume-push @p3174 @t139) % 16.05/16.45 (assume-push @p3175 @t143) % 16.05/16.45 (assume-push @p3176 @t146) % 16.05/16.45 (assume-push @p3177 @t148) % 16.05/16.45 (assume-push @p3178 @t151) % 16.05/16.45 (assume-push @p3179 @t121) % 16.05/16.45 (assume-push @p3180 @t146) % 16.05/16.45 (assume-push @p3181 @t125) % 16.05/16.45 (assume-push @p3182 @t129) % 16.05/16.45 (assume-push @p3183 @t139) % 16.05/16.45 (assume-push @p3184 @t120) % 16.05/16.45 (assume-push @p3185 @t119) % 16.05/16.45 (assume-push @p3186 @t143) % 16.05/16.45 (assume-push @p3187 @t123) % 16.05/16.45 (assume-push @p3188 @t133) % 16.05/16.45 (assume-push @p3189 @t136) % 16.05/16.45 (assume-push @p3190 @t111) % 16.05/16.45 (assume-push @p3191 @t109) % 16.05/16.45 (assume-push @p3192 @t151) % 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@p3236 @t173) % 16.05/16.45 (assume-push @p3237 @t133) % 16.05/16.45 (assume-push @p3238 @t136) % 16.05/16.45 (assume-push @p3239 @t139) % 16.05/16.45 (assume-push @p3240 @t143) % 16.05/16.45 (assume-push @p3241 @t146) % 16.05/16.45 (assume-push @p3242 @t176) % 16.05/16.45 (assume-push @p3243 @t148) % 16.05/16.45 (assume-push @p3244 @t151) % 16.05/16.45 (assume-push @p3245 @t120) % 16.05/16.45 (assume-push @p3246 @t119) % 16.05/16.45 (assume-push @p3247 @t155) % 16.05/16.45 (assume-push @p3248 @t177) % 16.05/16.45 (assume-push @p3249 @t125) % 16.05/16.45 (step @p245 :rule symm :premises (@p3227)) % 16.05/16.45 (step @p246 :rule symm :premises (@p3248)) % 16.05/16.45 (step @p247 :rule trans :premises (@p79 @p246 @p3247 @p245 @p3228)) % 16.05/16.45 (step-pop @p3250 :rule scope :premises (@p247)) % 16.05/16.45 (step-pop @p3251 :rule scope :premises (@p3250)) % 16.05/16.45 (step-pop @p3252 :rule scope :premises (@p3251)) % 16.05/16.45 (step-pop @p3253 :rule scope :premises (@p3252)) % 16.05/16.45 (step-pop @p3254 :rule scope :premises (@p3253)) % 16.05/16.45 (step @p248 :rule process_scope :premises (@p3254) :args (@t178)) % 16.05/16.45 (assume-push @p3255 @t129) % 16.05/16.45 (assume-push @p3256 @t120) % 16.05/16.45 (assume-push @p3257 @t121) % 16.05/16.45 (assume-push @p3258 @t143) % 16.05/16.45 (assume-push @p3259 @t119) % 16.05/16.45 (assume-push @p3260 @t139) % 16.05/16.45 (assume-push @p3261 @t125) % 16.05/16.45 (assume-push @p3262 @t136) % 16.05/16.45 (assume-push @p3263 @t173) % 16.05/16.45 (assume-push @p3264 @t123) % 16.05/16.45 (assume-push @p3265 @t133) % 16.05/16.45 (assume-push @p3266 @t111) % 16.05/16.45 (assume-push @p3267 @t109) % 16.05/16.45 (assume-push @p3268 @t151) % 16.05/16.45 (assume-push @p3269 @t148) % 16.05/16.45 (assume-push @p3270 @t127) % 16.05/16.45 (assume-push @p3271 @t176) % 16.05/16.45 (step @p144 :rule refl :args (tptp.sk_c11)) % 16.05/16.45 (step @p149 :rule symm :premises (@p84)) % 16.05/16.45 (step @p271 :rule symm :premises 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(step-pop @p3914 :rule scope :premises (@p3913)) % 16.05/16.45 (step-pop @p3915 :rule scope :premises (@p3914)) % 16.05/16.45 (step-pop @p3916 :rule scope :premises (@p3915)) % 16.05/16.45 (step-pop @p3917 :rule scope :premises (@p3916)) % 16.05/16.45 (step-pop @p3918 :rule scope :premises (@p3917)) % 16.05/16.45 (step-pop @p3919 :rule scope :premises (@p3918)) % 16.05/16.45 (step-pop @p3920 :rule scope :premises (@p3919)) % 16.05/16.45 (step-pop @p3921 :rule scope :premises (@p3920)) % 16.05/16.45 (step-pop @p3922 :rule scope :premises (@p3921)) % 16.05/16.45 (step-pop @p3923 :rule scope :premises (@p3922)) % 16.05/16.45 (step-pop @p3924 :rule scope :premises (@p3923)) % 16.05/16.45 (step-pop @p3925 :rule scope :premises (@p3924)) % 16.05/16.45 (step-pop @p3926 :rule scope :premises (@p3925)) % 16.05/16.45 (step @p1343 :rule process_scope :premises (@p3926) :args (@t256)) % 16.05/16.45 (step @p1364 :rule implies_elim :premises (@p1343)) % 16.05/16.45 (step @p1365 :rule cnf_and_neg 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nary_cong :premises (@p1381 @p1153) :args (@t52)) % 16.05/16.45 (step @p1386 :rule eq_resolve :premises (@p45 @p1385)) % 16.05/16.45 (step @p1387 :rule reordering :premises (@p1386) :args ((or @t264 @t109))) % 16.05/16.45 (step @p1388 :rule instantiate :premises (@p77) :args (@t118)) % 16.05/16.45 (step @p1389 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c11 tptp.sk_c3))) % 16.05/16.45 (step @p1390 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c11 tptp.sk_c1))) % 16.05/16.45 (assume-push @p3927 @t119) % 16.05/16.45 (assume-push @p3928 @t263) % 16.05/16.45 (assume-push @p3929 @t264) % 16.05/16.45 (assume-push @p3930 @t120) % 16.05/16.45 (assume-push @p3931 @t121) % 16.05/16.45 (assume-push @p3932 @t111) % 16.05/16.45 (assume-push @p3933 @t123) % 16.05/16.45 (assume-push @p3934 @t125) % 16.05/16.45 (assume-push @p3935 @t129) % 16.05/16.45 (assume-push @p3936 @t268) % 16.05/16.45 (assume-push @p3937 @t275) % 16.05/16.45 (assume-push @p3938 @t133) % 16.05/16.45 (assume-push @p3939 @t136) % 16.05/16.45 (assume-push @p3940 @t139) % 16.05/16.45 (assume-push @p3941 @t143) % 16.05/16.45 (assume-push @p3942 @t276) % 16.05/16.45 (assume-push @p3943 @t148) % 16.05/16.45 (assume-push @p3944 @t280) % 16.05/16.45 (assume-push @p3945 @t282) % 16.05/16.45 (assume-push @p3946 @t276) % 16.05/16.45 (assume-push @p3947 @t129) % 16.05/16.45 (assume-push @p3948 @t120) % 16.05/16.45 (assume-push @p3949 @t121) % 16.05/16.45 (assume-push @p3950 @t143) % 16.05/16.45 (assume-push @p3951 @t119) % 16.05/16.45 (assume-push @p3952 @t139) % 16.05/16.45 (assume-push @p3953 @t125) % 16.05/16.45 (assume-push @p3954 @t282) % 16.05/16.45 (assume-push @p3955 @t136) % 16.05/16.45 (assume-push @p3956 @t111) % 16.05/16.45 (assume-push @p3957 @t148) % 16.05/16.45 (assume-push @p3958 @t263) % 16.05/16.45 (assume-push @p3959 @t268) % 16.05/16.45 (assume-push @p3960 @t275) % 16.05/16.45 (assume-push @p3961 @t264) % 16.05/16.45 (assume-push @p3962 @t280) % 16.05/16.45 (assume-push @p3963 @t133) % 16.05/16.45 (assume-push @p3964 @t123) % 16.05/16.45 (step @p1429 :rule symm :premises (@p3928)) % 16.05/16.45 (step @p148 :rule symm :premises (@p79)) % 16.05/16.45 (step @p144 :rule refl :args (tptp.sk_c11)) % 16.05/16.45 (step @p149 :rule symm :premises (@p84)) % 16.05/16.45 (step @p1430 :rule symm :premises (@p3931)) % 16.05/16.45 (step @p1431 :rule cong :premises (@p3930 @p1430) :args (@t140)) % 16.05/16.45 (step @p1432 :rule symm :premises (@p3927)) % 16.05/16.45 (step @p1433 :rule symm :premises (@p3930)) % 16.05/16.45 (step @p1434 :rule cong :premises (@p1433 @p1432) :args (@t137)) % 16.05/16.45 (step @p276 :rule cong :premises (@p84 @p144) :args (@t124)) % 16.05/16.45 (step @p1435 :rule trans :premises (@p79 @p276 @p92 @p1434)) % 16.05/16.45 (step @p1436 :rule cong :premises (@p1435 @p144) :args (@t108)) % 16.05/16.45 (step @p1437 :rule trans :premises (@p1436 @p108 @p1431 @p149)) % 16.05/16.45 (step @p1438 :rule cong :premises (@p1437 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16.05/16.45 (step @p1450 :rule symm :premises (@p1444)) % 16.05/16.45 (step @p1451 :rule trans :premises (@p1450 @p1449 @p1448 @p1286)) % 16.05/16.45 (step @p1452 :rule trans :premises (@p1450 @p1449 @p1448)) % 16.05/16.45 (step @p1453 :rule symm :premises (@p1440)) % 16.05/16.45 (step @p1454 :rule symm :premises (@p1438)) % 16.05/16.45 (step @p1455 :rule trans :premises (@p79 @p1454 @p107 @p1453)) % 16.05/16.45 (step @p1456 :rule trans :premises (@p1455 @p1452)) % 16.05/16.45 (step @p1457 :rule cong :premises (@p1456 @p1451) :args (@t131)) % 16.05/16.45 (step @p162 :rule refl :args (tptp.identity)) % 16.05/16.45 (step @p1458 :rule cong :premises (@p1439 @p162) :args (@t122)) % 16.05/16.45 (step @p1459 :rule trans :premises (@p78 @p1458 @p106 @p1457 @p1447 @p1429)) % 16.05/16.45 (step @p1460 :rule symm :premises (@p1388)) % 16.05/16.45 (step @p1461 :rule refl :args (tptp.sk_c1)) % 16.05/16.45 (step @p1462 :rule cong :premises (@p1437 @p1461) :args (@t281)) % 16.05/16.45 (step @p1463 :rule symm :premises (@p1390)) % 16.05/16.45 (step @p1464 :rule symm :premises (@p3932)) % 16.05/16.45 (step @p1465 :rule cong :premises (@p1464 @p1461) :args (@t147)) % 16.05/16.45 (step @p1466 :rule trans :premises (@p110 @p1465)) % 16.05/16.45 (step @p1467 :rule cong :premises (@p144 @p1466) :args (@t130)) % 16.05/16.45 (step @p1468 :rule trans :premises (@p1467 @p1463 @p1462 @p1460)) % 16.05/16.45 (step @p1469 :rule trans :premises (@p1455 @p1468)) % 16.05/16.45 (step @p1470 :rule cong :premises (@p1469 @p1459) :args (@t130)) % 16.05/16.45 (step @p1471 :rule trans :premises (@p79 @p1454 @p107 @p1453 @p1470)) % 16.05/16.45 (step-pop @p3965 :rule scope :premises (@p1471)) % 16.05/16.45 (step-pop @p3966 :rule scope :premises (@p3965)) % 16.05/16.45 (step-pop @p3967 :rule scope :premises (@p3966)) % 16.05/16.45 (step-pop @p3968 :rule scope :premises (@p3967)) % 16.05/16.45 (step-pop @p3969 :rule scope :premises (@p3968)) % 16.05/16.45 (step-pop @p3970 :rule scope :premises (@p3969)) % 16.05/16.45 (step-pop @p3971 :rule scope :premises (@p3970)) % 16.05/16.45 (step-pop @p3972 :rule scope :premises (@p3971)) % 16.05/16.45 (step-pop @p3973 :rule scope :premises (@p3972)) % 16.05/16.45 (step-pop @p3974 :rule scope :premises (@p3973)) % 16.05/16.45 (step-pop @p3975 :rule scope :premises (@p3974)) % 16.05/16.45 (step-pop @p3976 :rule scope :premises (@p3975)) % 16.05/16.45 (step-pop @p3977 :rule scope :premises (@p3976)) % 16.05/16.45 (step-pop @p3978 :rule scope :premises (@p3977)) % 16.05/16.45 (step-pop @p3979 :rule scope :premises (@p3978)) % 16.05/16.45 (step-pop @p3980 :rule scope :premises (@p3979)) % 16.05/16.45 (step-pop @p3981 :rule scope :premises (@p3980)) % 16.05/16.45 (step-pop @p3982 :rule scope :premises (@p3981)) % 16.05/16.45 (step-pop @p3983 :rule scope :premises (@p3982)) % 16.05/16.45 (step @p1472 :rule process_scope :premises (@p3983) :args (@t109)) % 16.05/16.45 (step @p1492 :rule and_intro :premises (@p1388 @p84 @p3930 @p3931 @p108 @p3927 @p92 @p79 @p1390 @p107 @p3932 @p110 @p3928 @p1245 @p87 @p3929 @p1389 @p106 @p78)) % 16.05/16.45 (step @p1493 :rule modus_ponens :premises (@p1492 @p1472)) % 16.05/16.45 (step-pop @p3984 :rule scope :premises (@p1493)) % 16.05/16.45 (step-pop @p3985 :rule scope :premises (@p3984)) % 16.05/16.45 (step-pop @p3986 :rule scope :premises (@p3985)) % 16.05/16.45 (step-pop @p3987 :rule scope :premises (@p3986)) % 16.05/16.45 (step-pop @p3988 :rule scope :premises (@p3987)) % 16.05/16.45 (step-pop @p3989 :rule scope :premises (@p3988)) % 16.05/16.45 (step-pop @p3990 :rule scope :premises (@p3989)) % 16.05/16.45 (step-pop @p3991 :rule scope :premises (@p3990)) % 16.05/16.45 (step-pop @p3992 :rule scope :premises (@p3991)) % 16.05/16.45 (step-pop @p3993 :rule scope :premises (@p3992)) % 16.05/16.45 (step-pop @p3994 :rule scope :premises (@p3993)) % 16.05/16.45 (step-pop @p3995 :rule scope :premises (@p3994)) % 16.05/16.45 (step-pop @p3996 :rule scope :premises (@p3995)) % 16.05/16.45 (step-pop @p3997 :rule scope :premises (@p3996)) % 16.05/16.45 (step-pop @p3998 :rule scope :premises (@p3997)) % 16.05/16.45 (step-pop @p3999 :rule scope :premises (@p3998)) % 16.05/16.45 (step-pop @p4000 :rule scope :premises (@p3999)) % 16.05/16.45 (step-pop @p4001 :rule scope :premises (@p4000)) % 16.05/16.45 (step-pop @p4002 :rule scope :premises (@p4001)) % 16.05/16.45 (step @p1494 :rule process_scope :premises (@p4002) :args (@t109)) % 16.05/16.45 (step @p1514 :rule implies_elim :premises (@p1494)) % 16.05/16.45 (step @p1515 :rule cnf_and_neg :args (@t284)) % 16.05/16.45 (step @p1516 :rule resolution :premises (@p1515 @p1514) :args (true @t284)) % 16.05/16.45 (step @p1517 :rule reordering :premises (@p1516) :args ((or @t109 @t170 @t169 @t168 @t273 @t266 @t112 @t167 @t166 @t164 @t272 @t286 @t163 @t162 @t161 @t160 (not @t276) @t158 @t285 (not @t282)))) % 16.05/16.45 (step @p1518 :rule chain_m_resolution :premises (@p1517 @p1390 @p1389 @p110 @p1388 @p108 @p92 @p107 @p106 @p87 @p1245 @p84 @p79 @p78 @p1387 @p1384 @p1380) :args ((or @t170 @t169 @t168 @t112) (@list false false false false false false false false false false false false false false false true) (@list @t282 @t280 @t148 @t276 @t143 @t139 @t136 @t133 @t275 @t268 @t129 @t125 @t123 @t264 @t263 @t109))) % 16.05/16.45 (step @p1519 :rule eq-symm :args (@t45 tptp.sk_c11)) % 16.05/16.45 (step @p1520 :rule nary_cong :premises (@p1519 @p1148) :args (@t47)) % 16.05/16.45 (step @p1521 :rule eq_resolve :premises (@p34 @p1520)) % 16.05/16.45 (step @p1522 :rule reordering :premises (@p1521) :args ((or @t263 @t111))) % 16.05/16.45 (step @p1523 :rule nary_cong :premises (@p1519 @p1153) :args (@t48)) % 16.05/16.45 (step @p1524 :rule eq_resolve :premises (@p35 @p1523)) % 16.05/16.45 (step @p1525 :rule reordering :premises (@p1524) :args ((or @t264 @t111))) % 16.05/16.45 (step @p1526 :rule cnf_or_pos :args (@t287)) % 16.05/16.45 (step @p1527 :rule reordering :premises (@p1526) :args ((or @t273 @t266 (not @t287)))) % 16.05/16.45 (assume-push @p4003 @t188) % 16.05/16.45 (step @p1529 :rule instantiate :premises (@p4003) :args (@t105)) % 16.05/16.45 (step-pop @p4004 :rule scope :premises (@p1529)) % 16.05/16.45 (step @p1530 :rule process_scope :premises (@p4004) :args (@t287)) % 16.05/16.45 (step @p1532 :rule implies_elim :premises (@p1530)) % 16.05/16.45 (step @p1533 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 tptp.sk_c9 tptp.sk_c9))) % 16.05/16.45 (assume-push @p4005 @t119) % 16.05/16.45 (assume-push @p4006 @t264) % 16.05/16.45 (assume-push @p4007 @t120) % 16.05/16.45 (assume-push @p4008 @t121) % 16.05/16.45 (assume-push @p4009 @t125) % 16.05/16.45 (assume-push @p4010 @t129) % 16.05/16.45 (assume-push @p4011 @t268) % 16.05/16.45 (assume-push @p4012 @t275) % 16.05/16.45 (assume-push @p4013 @t136) % 16.05/16.45 (assume-push @p4014 @t139) % 16.05/16.45 (assume-push @p4015 @t143) % 16.05/16.45 (assume-push @p4016 @t290) % 16.05/16.45 (assume-push @p4017 @t280) % 16.05/16.45 (assume-push @p4018 @t268) % 16.05/16.45 (assume-push @p4019 @t129) % 16.05/16.45 (assume-push @p4020 @t120) % 16.05/16.45 (assume-push @p4021 @t121) % 16.05/16.45 (assume-push @p4022 @t143) % 16.05/16.45 (assume-push @p4023 @t119) % 16.05/16.45 (assume-push @p4024 @t139) % 16.05/16.45 (assume-push @p4025 @t125) % 16.05/16.45 (assume-push @p4026 @t280) % 16.05/16.45 (assume-push @p4027 @t136) % 16.05/16.45 (assume-push @p4028 @t264) % 16.05/16.45 (assume-push @p4029 @t275) % 16.05/16.45 (assume-push @p4030 @t290) % 16.05/16.45 (step @p159 :rule refl :args (tptp.sk_c9)) % 16.05/16.45 (step @p1286 :rule symm :premises (@p1245)) % 16.05/16.45 (step @p1287 :rule cong :premises (@p1286 @p159) :args (@t269)) % 16.05/16.45 (step @p1317 :rule refl :args (tptp.sk_c3)) % 16.05/16.45 (step @p149 :rule symm :premises (@p84)) % 16.05/16.45 (step @p1560 :rule symm :premises (@p4008)) % 16.05/16.45 (step @p1561 :rule cong :premises (@p4007 @p1560) :args (@t140)) % 16.05/16.45 (step @p144 :rule refl :args (tptp.sk_c11)) % 16.05/16.45 (step @p1562 :rule symm :premises (@p4005)) % 16.05/16.45 (step @p1563 :rule symm :premises (@p4007)) % 16.05/16.45 (step @p1564 :rule cong :premises (@p1563 @p1562) :args (@t137)) % 16.05/16.45 (step @p276 :rule cong :premises (@p84 @p144) :args (@t124)) % 16.05/16.45 (step @p1565 :rule trans :premises (@p79 @p276 @p92 @p1564)) % 16.05/16.45 (step @p1566 :rule cong :premises (@p1565 @p144) :args (@t108)) % 16.05/16.45 (step @p1567 :rule trans :premises (@p1566 @p108 @p1561 @p149)) % 16.05/16.45 (step @p1568 :rule cong :premises (@p1567 @p1317) :args (@t279)) % 16.05/16.45 (step @p1449 :rule symm :premises (@p1389)) % 16.05/16.45 (step @p1569 :rule symm :premises (@p4006)) % 16.05/16.45 (step @p1570 :rule cong :premises (@p1569 @p1317) :args (@t274)) % 16.05/16.45 (step @p1571 :rule trans :premises (@p87 @p1570)) % 16.05/16.45 (step @p1572 :rule cong :premises (@p144 @p1571) :args (@t130)) % 16.05/16.45 (step @p1573 :rule trans :premises (@p1572 @p1449 @p1568)) % 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16.05/16.46 (step @p161 :rule symm :premises (@p78)) % 16.05/16.46 (step @p420 :rule cong :premises (@p161 @p175) :args (@t154)) % 16.05/16.46 (step @p421 :rule cong :premises (@p78 @p172) :args (@t153)) % 16.05/16.46 (step @p2994 :rule symm :premises (@p4849)) % 16.05/16.46 (step @p148 :rule symm :premises (@p79)) % 16.05/16.46 (step @p144 :rule refl :args (tptp.sk_c11)) % 16.05/16.46 (step @p2743 :rule symm :premises (@p91)) % 16.05/16.46 (step @p2744 :rule cong :premises (@p2743 @p144) :args (@t341)) % 16.05/16.46 (step @p2745 :rule symm :premises (@p96)) % 16.05/16.46 (step @p2995 :rule symm :premises (@p4854)) % 16.05/16.46 (step @p2996 :rule cong :premises (@p2995 @p144) :args (@t365)) % 16.05/16.46 (step @p2997 :rule symm :premises (@p4853)) % 16.05/16.46 (step @p2749 :rule refl :args (@t27)) % 16.05/16.46 (step @p2998 :rule cong :premises (@p2749 @p2997) :args (@t344)) % 16.05/16.46 (step @p2751 :rule refl :args (tptp.sk_c8)) % 16.05/16.46 (step @p2752 :rule cong :premises (@p90 @p2751) :args (@t353)) % 16.05/16.46 (step @p2999 :rule trans :premises (@p89 @p2752 @p95 @p2998 @p2996)) % 16.05/16.46 (step @p2754 :rule refl :args (@t107)) % 16.05/16.46 (step @p3000 :rule cong :premises (@p2754 @p2999) :args (@t340)) % 16.05/16.46 (step @p3001 :rule trans :premises (@p91 @p3000 @p2745 @p2744 @p148)) % 16.05/16.46 (step @p1317 :rule refl :args (tptp.sk_c3)) % 16.05/16.46 (step @p3002 :rule cong :premises (@p1317 @p3001) :args (@t270)) % 16.05/16.46 (step @p3003 :rule symm :premises (@p3000)) % 16.05/16.46 (step @p2759 :rule symm :premises (@p2744)) % 16.05/16.46 (step @p3004 :rule symm :premises (@p2999)) % 16.05/16.46 (step @p2761 :rule refl :args (tptp.sk_c5)) % 16.05/16.46 (step @p3005 :rule cong :premises (@p2761 @p3004) :args (@t331)) % 16.05/16.46 (step @p3006 :rule cong :premises (@p4853 @p144) :args (@t108)) % 16.05/16.46 (step @p3007 :rule trans :premises (@p3006 @p98 @p3005 @p2997 @p79 @p2759 @p96 @p3003 @p2743)) % 16.05/16.46 (step @p3008 :rule cong :premises (@p1317 @p3007) :args (@t294)) % 16.05/16.46 (step @p3009 :rule trans :premises (@p3008 @p3002 @p2994 @p80)) % 16.05/16.46 (step @p3010 :rule symm :premises (@p3001)) % 16.05/16.46 (step @p3011 :rule symm :premises (@p4850)) % 16.05/16.46 (step @p3012 :rule trans :premises (@p3011 @p3010)) % 16.05/16.46 (step @p3013 :rule cong :premises (@p3012 @p3009) :args (@t335)) % 16.05/16.46 (step @p2776 :rule refl :args (@t108)) % 16.05/16.46 (step @p2777 :rule cong :premises (@p87 @p2776) :args (@t356)) % 16.05/16.46 (step @p2778 :rule cong :premises (@p79 @p144) :args (@t108)) % 16.05/16.46 (step @p3014 :rule symm :premises (@p3006)) % 16.05/16.46 (step @p2780 :rule symm :premises (@p98)) % 16.05/16.46 (step @p3015 :rule symm :premises (@p3005)) % 16.05/16.46 (step @p3016 :rule trans :premises (@p4853 @p3015 @p2780 @p3014 @p2778 @p85 @p2777 @p97 @p3013 @p421 @p420 @p172)) % 16.05/16.46 (step @p3017 :rule cong :premises (@p2994 @p3016) :args (@t295)) % 16.05/16.46 (step @p1672 :rule symm :premises (@p93)) % 16.05/16.46 (step @p3018 :rule symm :premises (@p3008)) % 16.05/16.46 (step @p3019 :rule symm :premises (@p3002)) % 16.05/16.46 (step @p149 :rule symm :premises (@p84)) % 16.05/16.46 (step @p150 :rule cong :premises (@p149 @p144) :args (@t138)) % 16.05/16.46 (step @p151 :rule symm :premises (@p92)) % 16.05/16.46 (step @p3020 :rule cong :premises (@p2994 @p144) :args (@t295)) % 16.05/16.46 (step @p3021 :rule symm :premises (@p88)) % 16.05/16.46 (step @p2592 :rule refl :args (tptp.sk_c4)) % 16.05/16.46 (step @p3022 :rule cong :premises (@p4852 @p2592) :args (@t316)) % 16.05/16.46 (step @p3023 :rule trans :premises (@p3022 @p3021 @p91 @p3000 @p2745 @p2744 @p148 @p4853 @p3015 @p2780 @p3014 @p2778 @p85 @p2777 @p97 @p3013 @p421 @p420 @p172 @p4849 @p3019 @p3018 @p1672 @p3020)) % 16.05/16.46 (step @p3024 :rule refl :args (@t34)) % 16.05/16.46 (step @p3025 :rule cong :premises (@p3024 @p3023) :args (@t317)) % 16.05/16.46 (step @p3026 :rule cong :premises (@p84 @p2592) :args (@t310)) % 16.05/16.46 (step @p3027 :rule trans :premises (@p86 @p3026 @p94 @p3025 @p151 @p150 @p2759 @p96 @p3003 @p2743)) % 16.05/16.46 (step @p3028 :rule cong :premises (@p3027 @p3010) :args ((tptp.multiply tptp.sk_c4 tptp.sk_c11))) % 16.05/16.46 (step @p3029 :rule symm :premises (@p3016)) % 16.05/16.46 (step @p3030 :rule cong :premises (@p2592 @p3029) :args (@t18)) % 16.05/16.46 (step @p3031 :rule trans :premises (@p4851 @p3030 @p3028 @p161 @p91 @p3000 @p2745 @p2744 @p148 @p4853 @p3015 @p2780 @p3014 @p2778 @p85 @p2777 @p97 @p3013 @p421 @p420 @p172 @p4849 @p3019 @p3018 @p1672 @p3017)) % 16.05/16.46 (step-pop @p4898 :rule scope :premises (@p3031)) % 16.05/16.46 (step-pop @p4899 :rule scope :premises (@p4898)) % 16.05/16.46 (step-pop @p4900 :rule scope :premises (@p4899)) % 16.05/16.46 (step-pop @p4901 :rule scope :premises (@p4900)) % 16.05/16.46 (step-pop @p4902 :rule scope :premises (@p4901)) % 16.05/16.46 (step-pop @p4903 :rule scope :premises (@p4902)) % 16.05/16.46 (step-pop @p4904 :rule scope :premises (@p4903)) % 16.05/16.46 (step-pop @p4905 :rule scope :premises (@p4904)) % 16.05/16.46 (step-pop @p4906 :rule scope :premises (@p4905)) % 16.05/16.46 (step-pop @p4907 :rule scope :premises (@p4906)) % 16.05/16.46 (step-pop @p4908 :rule scope :premises (@p4907)) % 16.05/16.46 (step-pop @p4909 :rule scope :premises (@p4908)) % 16.05/16.46 (step-pop @p4910 :rule scope :premises (@p4909)) % 16.05/16.46 (step-pop @p4911 :rule scope :premises (@p4910)) % 16.05/16.46 (step-pop @p4912 :rule scope :premises (@p4911)) % 16.05/16.46 (step-pop @p4913 :rule scope :premises (@p4912)) % 16.05/16.46 (step-pop @p4914 :rule scope :premises (@p4913)) % 16.05/16.46 (step-pop @p4915 :rule scope :premises (@p4914)) % 16.05/16.46 (step-pop @p4916 :rule scope :premises (@p4915)) % 16.05/16.46 (step-pop @p4917 :rule scope :premises (@p4916)) % 16.05/16.46 (step-pop @p4918 :rule scope :premises (@p4917)) % 16.05/16.46 (step-pop @p4919 :rule scope :premises (@p4918)) % 16.05/16.46 (step-pop @p4920 :rule scope :premises (@p4919)) % 16.05/16.46 (step-pop @p4921 :rule scope :premises (@p4920)) % 16.05/16.46 (step @p3032 :rule process_scope :premises (@p4921) :args (@t190)) % 16.05/16.46 (step @p3057 :rule and_intro :premises (@p4849 @p80 @p78 @p91 @p89 @p90 @p95 @p4853 @p4854 @p96 @p79 @p4850 @p98 @p97 @p87 @p85 @p93 @p84 @p92 @p88 @p4852 @p94 @p86 @p4851)) % 16.05/16.46 (step @p3058 :rule modus_ponens :premises (@p3057 @p3032)) % 16.05/16.46 (assume-push @p4922 @t170) % 16.05/16.46 (assume-push @p4923 @t263) % 16.05/16.46 (assume-push @p4924 @t328) % 16.05/16.46 (assume-push @p4925 @t354) % 16.05/16.46 (assume-push @p4926 @t351) % 16.05/16.46 (assume-push @p4927 @t347) % 16.05/16.46 (assume-push @p4928 @t329) % 16.05/16.46 (assume-push @p4929 @t333) % 16.05/16.46 (assume-push @p4930 @t125) % 16.05/16.46 (assume-push @p4931 @t358) % 16.05/16.46 (assume-push @p4932 @t275) % 16.05/16.46 (assume-push @p4933 @t337) % 16.05/16.46 (assume-push @p4934 @t264) % 16.05/16.46 (assume-push @p4935 @t349) % 16.05/16.46 (assume-push @p4936 @t342) % 16.05/16.46 (assume-push @p4937 @t127) % 16.05/16.46 (assume-push @p4938 @t123) % 16.05/16.46 (step @p3076 :rule false_intro :premises (@p4855)) % 16.05/16.46 (step @p144 :rule refl :args (tptp.sk_c11)) % 16.05/16.46 (step @p3077 :rule symm :premises (@p4849)) % 16.05/16.46 (step @p3078 :rule cong :premises (@p3077 @p144) :args (@t295)) % 16.05/16.46 (step @p3079 :rule symm :premises (@p4853)) % 16.05/16.46 (step @p2837 :rule symm :premises (@p89)) % 16.05/16.46 (step @p2751 :rule refl :args (tptp.sk_c8)) % 16.05/16.46 (step @p2838 :rule symm :premises (@p90)) % 16.05/16.46 (step @p2839 :rule cong :premises (@p2838 @p2751) :args (@t346)) % 16.05/16.46 (step @p2840 :rule symm :premises (@p95)) % 16.05/16.46 (step @p2749 :rule refl :args (@t27)) % 16.05/16.46 (step @p3080 :rule cong :premises (@p2749 @p4853) :args (@t365)) % 16.05/16.46 (step @p3081 :rule cong :premises (@p4854 @p144) :args (@t330)) % 16.05/16.46 (step @p3082 :rule trans :premises (@p3081 @p3080 @p2840 @p2839 @p2837)) % 16.05/16.46 (step @p2761 :rule refl :args (tptp.sk_c5)) % 16.05/16.46 (step @p3083 :rule cong :premises (@p2761 @p3082) :args (@t331)) % 16.05/16.46 (step @p3084 :rule cong :premises (@p4853 @p144) :args (@t108)) % 16.05/16.46 (step @p148 :rule symm :premises (@p79)) % 16.05/16.46 (step @p3085 :rule cong :premises (@p148 @p144) :args (@t357)) % 16.05/16.46 (step @p3086 :rule symm :premises (@p85)) % 16.05/16.46 (step @p2776 :rule refl :args (@t108)) % 16.05/16.46 (step @p1441 :rule symm :premises (@p87)) % 16.05/16.46 (step @p3087 :rule cong :premises (@p1441 @p2776) :args (@t336)) % 16.05/16.46 (step @p3088 :rule symm :premises (@p97)) % 16.05/16.46 (step @p3089 :rule symm :premises (@p3084)) % 16.05/16.46 (step @p2780 :rule symm :premises (@p98)) % 16.05/16.46 (step @p3090 :rule symm :premises (@p3083)) % 16.05/16.46 (step @p2743 :rule symm :premises (@p91)) % 16.05/16.46 (step @p2744 :rule cong :premises (@p2743 @p144) :args (@t341)) % 16.05/16.46 (step @p2745 :rule symm :premises (@p96)) % 16.05/16.46 (step @p3091 :rule symm :premises (@p3082)) % 16.05/16.46 (step @p2754 :rule refl :args (@t107)) % 16.05/16.46 (step @p3092 :rule cong :premises (@p2754 @p3091) :args (@t340)) % 16.05/16.46 (step @p3093 :rule trans :premises (@p91 @p3092 @p2745 @p2744 @p148 @p4853 @p3090 @p2780 @p3089)) % 16.05/16.46 (step @p1317 :rule refl :args (tptp.sk_c3)) % 16.05/16.46 (step @p3094 :rule cong :premises (@p1317 @p3093) :args (@t270)) % 16.05/16.46 (step @p3095 :rule symm :premises (@p3092)) % 16.05/16.46 (step @p2759 :rule symm :premises (@p2744)) % 16.05/16.46 (step @p3096 :rule trans :premises (@p79 @p2759 @p96 @p3095 @p2743)) % 16.05/16.46 (step @p3097 :rule cong :premises (@p1317 @p3096) :args (@t10)) % 16.05/16.46 (step @p172 :rule symm :premises (@p80)) % 16.05/16.46 (step @p3098 :rule trans :premises (@p172 @p4849 @p3097 @p3094)) % 16.05/16.46 (step @p3099 :rule symm :premises (@p3096)) % 16.05/16.46 (step @p3100 :rule trans :premises (@p3099 @p4850)) % 16.05/16.46 (step @p3101 :rule cong :premises (@p3100 @p3098) :args (@t153)) % 16.05/16.46 (step @p161 :rule symm :premises (@p78)) % 16.05/16.46 (step @p174 :rule cong :premises (@p161 @p80) :args (@t154)) % 16.05/16.46 (step @p175 :rule refl :args (tptp.sk_c10)) % 16.05/16.46 (step @p176 :rule cong :premises (@p78 @p175) :args (@t126)) % 16.05/16.46 (step @p3102 :rule trans :premises (@p80 @p176 @p174 @p3101 @p3088 @p3087 @p3086 @p3085 @p3084 @p98 @p3083 @p3079)) % 16.05/16.46 (step @p3103 :rule cong :premises (@p4849 @p3102) :args (@t189)) % 16.05/16.46 (step @p3104 :rule trans :premises (@p3103 @p3078)) % 16.05/16.46 (step @p159 :rule refl :args (tptp.sk_c9)) % 16.05/16.46 (step @p3105 :rule cong :premises (@p159 @p3104) :args (@t190)) % 16.05/16.46 (step @p3106 :rule trans :premises (@p3105 @p3076)) % 16.05/16.46 (step @p3107 :rule false_elim :premises (@p3106)) % 16.05/16.46 (step-pop @p4939 :rule scope :premises (@p3107)) % 16.05/16.46 (step-pop @p4940 :rule scope :premises (@p4939)) % 16.05/16.46 (step-pop @p4941 :rule scope :premises (@p4940)) % 16.05/16.46 (step-pop @p4942 :rule scope :premises (@p4941)) % 16.05/16.46 (step-pop @p4943 :rule scope :premises (@p4942)) % 16.05/16.46 (step-pop @p4944 :rule scope :premises (@p4943)) % 16.05/16.46 (step-pop @p4945 :rule scope :premises (@p4944)) % 16.05/16.46 (step-pop @p4946 :rule scope :premises (@p4945)) % 16.05/16.46 (step-pop @p4947 :rule scope :premises (@p4946)) % 16.05/16.46 (step-pop @p4948 :rule scope :premises (@p4947)) % 16.05/16.46 (step-pop @p4949 :rule scope :premises (@p4948)) % 16.05/16.46 (step-pop @p4950 :rule scope :premises (@p4949)) % 16.05/16.46 (step-pop @p4951 :rule scope :premises (@p4950)) % 16.05/16.46 (step-pop @p4952 :rule scope :premises (@p4951)) % 16.05/16.46 (step-pop @p4953 :rule scope :premises (@p4952)) % 16.05/16.46 (step-pop @p4954 :rule scope :premises (@p4953)) % 16.05/16.46 (step-pop @p4955 :rule scope :premises (@p4954)) % 16.05/16.46 (step @p3108 :rule process_scope :premises (@p4955) :args (@t193)) % 16.05/16.46 (step @p3126 :rule and_intro :premises (@p4855 @p4849 @p4853 @p89 @p90 @p95 @p4854 @p98 @p79 @p85 @p87 @p97 @p4850 @p91 @p96 @p80 @p78)) % 16.05/16.46 (step @p3127 :rule modus_ponens :premises (@p3126 @p3108)) % 16.05/16.46 (step @p3128 :rule and_intro :premises (@p3127 @p3058)) % 16.05/16.46 (step-pop @p4956 :rule scope :premises (@p3128)) % 16.05/16.46 (step-pop @p4957 :rule scope :premises (@p4956)) % 16.05/16.46 (step-pop @p4958 :rule scope :premises (@p4957)) % 16.05/16.46 (step-pop @p4959 :rule scope :premises (@p4958)) % 16.05/16.46 (step-pop @p4960 :rule scope :premises (@p4959)) % 16.05/16.46 (step-pop @p4961 :rule scope :premises (@p4960)) % 16.05/16.46 (step-pop @p4962 :rule scope :premises (@p4961)) % 16.05/16.46 (step-pop @p4963 :rule scope :premises (@p4962)) % 16.05/16.46 (step-pop @p4964 :rule scope :premises (@p4963)) % 16.05/16.46 (step-pop @p4965 :rule scope :premises (@p4964)) % 16.05/16.46 (step-pop @p4966 :rule scope :premises (@p4965)) % 16.05/16.46 (step-pop @p4967 :rule scope :premises (@p4966)) % 16.05/16.46 (step-pop @p4968 :rule scope :premises (@p4967)) % 16.05/16.46 (step-pop @p4969 :rule scope :premises (@p4968)) % 16.05/16.46 (step-pop @p4970 :rule scope :premises (@p4969)) % 16.05/16.46 (step-pop @p4971 :rule scope :premises (@p4970)) % 16.05/16.46 (step-pop @p4972 :rule scope :premises (@p4971)) % 16.05/16.46 (step-pop @p4973 :rule scope :premises (@p4972)) % 16.05/16.46 (step-pop @p4974 :rule scope :premises (@p4973)) % 16.05/16.46 (step-pop @p4975 :rule scope :premises (@p4974)) % 16.05/16.46 (step-pop @p4976 :rule scope :premises (@p4975)) % 16.05/16.46 (step-pop @p4977 :rule scope :premises (@p4976)) % 16.05/16.46 (step-pop @p4978 :rule scope :premises (@p4977)) % 16.05/16.46 (step-pop @p4979 :rule scope :premises (@p4978)) % 16.05/16.46 (step-pop @p4980 :rule scope :premises (@p4979)) % 16.05/16.46 (step @p3129 :rule process_scope :premises (@p4980) :args (@t369)) % 16.05/16.46 (step @p3155 :rule implies_elim :premises (@p3129)) % 16.05/16.46 (step @p3156 :rule resolution :premises (@p3155 @p2942) :args (true @t369)) % 16.05/16.46 (step @p3157 :rule not_and :premises (@p3156)) % 16.05/16.46 (step @p3158 :rule eq_resolve :premises (@p3157 @p2934)) % 16.05/16.46 (step @p3159 :rule reordering :premises (@p3158) :args ((or @t119 @t273 @t266 @t327 @t326 @t361 @t360 @t167 @t166 @t165 @t164 @t359 @t325 @t286 @t324 @t355 @t352 @t350 @t161 @t299 @t323 @t348 @t343 @t338 @t334))) % 16.05/16.46 (step @p3160 false :rule chain_m_resolution :premises (@p3159 @p2924 @p2921 @p2918 @p2915 @p2912 @p2909 @p2906 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p80 @p79 @p78) :args (false (@list false false false false false false true false false false false false false false false false false false false false false false false false false) (@list @t329 @t328 @t309 @t308 @t264 @t263 @t119 @t333 @t337 @t342 @t347 @t319 @t296 @t139 @t349 @t351 @t354 @t313 @t275 @t311 @t358 @t129 @t127 @t125 @t123))) % 16.05/16.46 ) % 16.05/16.46 % SZS output end Proof % 16.05/16.46 % cvc5 exiting %------------------------------------------------------------------------------