%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN067-3 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 09:07:59 AM UTC 2026 % Result : Unsatisfiable 15.50s 15.80s % Output : Proof 15.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN067-3 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:19:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.69 --- Run --no-e-matching --full-saturate-quant at 6... % 15.50/15.80 % SZS status Unsatisfiable % 15.50/15.80 % SZS output start Proof % 15.50/15.83 ( % 15.50/15.83 (declare-sort $$unsorted 0) % 15.50/15.83 (declare-const tptp.sk8 $$unsorted) % 15.50/15.83 (declare-const tptp.sk6 (-> $$unsorted $$unsorted)) % 15.50/15.83 (declare-const tptp.sk5 (-> $$unsorted $$unsorted)) % 15.50/15.83 (declare-const tptp.sk7 $$unsorted) % 15.50/15.83 (declare-const tptp.big_r (-> $$unsorted $$unsorted Bool)) % 15.50/15.83 (declare-const tptp.sk1 (-> $$unsorted $$unsorted)) % 15.50/15.83 (declare-const tptp.sk9 $$unsorted) % 15.50/15.83 (declare-const tptp.sk3 (-> $$unsorted $$unsorted)) % 15.50/15.83 (declare-const tptp.sk10 $$unsorted) % 15.50/15.83 (declare-const tptp.sk2 (-> $$unsorted $$unsorted)) % 15.50/15.83 (declare-const tptp.sk4 (-> $$unsorted $$unsorted)) % 15.50/15.83 (declare-const tptp.big_p (-> $$unsorted Bool)) % 15.50/15.83 (declare-const tptp.a $$unsorted) % 15.50/15.83 (define @t1 () (tptp.big_p tptp.a)) % 15.50/15.83 (define @t2 () (not @t1)) % 15.50/15.83 (define @t3 () (@var "A" $$unsorted)) % 15.50/15.83 (define @t4 () (tptp.big_p (tptp.sk3 @t3))) % 15.50/15.83 (define @t5 () (@var "B" $$unsorted)) % 15.50/15.83 (define @t6 () (tptp.big_p (tptp.sk1 @t5))) % 15.50/15.83 (define @t7 () (tptp.big_p @t5)) % 15.50/15.83 (define @t8 () (tptp.big_p @t3)) % 15.50/15.83 (define @t9 () (or @t8 @t7 @t6 @t4 @t2)) % 15.50/15.83 (define @t10 () (@list @t3 @t5)) % 15.50/15.83 (define @t11 () (forall @t10 @t9)) % 15.50/15.83 (define @t12 () (@var "C" $$unsorted)) % 15.50/15.83 (define @t13 () (tptp.big_r @t12 (tptp.sk4 @t12))) % 15.50/15.83 (define @t14 () (@var "D" $$unsorted)) % 15.50/15.83 (define @t15 () (tptp.big_p (tptp.sk1 @t14))) % 15.50/15.83 (define @t16 () (tptp.big_p @t14)) % 15.50/15.83 (define @t17 () (tptp.big_p @t12)) % 15.50/15.83 (define @t18 () (or @t17 @t16 @t15 @t13 @t2)) % 15.50/15.83 (define @t19 () (@list @t12 @t14)) % 15.50/15.83 (define @t20 () (forall @t19 @t18)) % 15.50/15.83 (define @t21 () (@var "E" $$unsorted)) % 15.50/15.83 (define @t22 () (tptp.big_r (tptp.sk4 @t21) (tptp.sk3 @t21))) % 15.50/15.83 (define @t23 () (@var "F" $$unsorted)) % 15.50/15.83 (define @t24 () (tptp.big_p (tptp.sk1 @t23))) % 15.50/15.83 (define @t25 () (tptp.big_p @t23)) % 15.50/15.83 (define @t26 () (tptp.big_p @t21)) % 15.50/15.83 (define @t27 () (or @t26 @t25 @t24 @t22 @t2)) % 15.50/15.83 (define @t28 () (@list @t21 @t23)) % 15.50/15.83 (define @t29 () (forall @t28 @t27)) % 15.50/15.83 (define @t30 () (@var "H" $$unsorted)) % 15.50/15.83 (define @t31 () (tptp.big_r @t30 (tptp.sk2 @t30))) % 15.50/15.83 (define @t32 () (@var "G" $$unsorted)) % 15.50/15.83 (define @t33 () (tptp.big_p (tptp.sk3 @t32))) % 15.50/15.83 (define @t34 () (tptp.big_p @t30)) % 15.50/15.83 (define @t35 () (tptp.big_p @t32)) % 15.50/15.83 (define @t36 () (or @t35 @t34 @t33 @t31 @t2)) % 15.50/15.83 (define @t37 () (@list @t32 @t30)) % 15.50/15.83 (define @t38 () (forall @t37 @t36)) % 15.50/15.83 (define @t39 () (@var "J" $$unsorted)) % 15.50/15.83 (define @t40 () (tptp.big_r @t39 (tptp.sk2 @t39))) % 15.50/15.83 (define @t41 () (@var "I" $$unsorted)) % 15.50/15.83 (define @t42 () (tptp.big_r @t41 (tptp.sk4 @t41))) % 15.50/15.83 (define @t43 () (tptp.big_p @t39)) % 15.50/15.83 (define @t44 () (tptp.big_p @t41)) % 15.50/15.83 (define @t45 () (or @t44 @t43 @t42 @t40 @t2)) % 15.50/15.83 (define @t46 () (@list @t41 @t39)) % 15.50/15.83 (define @t47 () (forall @t46 @t45)) % 15.50/15.83 (define @t48 () (@var "K" $$unsorted)) % 15.50/15.83 (define @t49 () (tptp.big_r (tptp.sk4 @t48) (tptp.sk3 @t48))) % 15.50/15.83 (define @t50 () (@var "L" $$unsorted)) % 15.50/15.83 (define @t51 () (tptp.big_r @t50 (tptp.sk2 @t50))) % 15.50/15.83 (define @t52 () (tptp.big_p @t50)) % 15.50/15.83 (define @t53 () (tptp.big_p @t48)) % 15.50/15.83 (define @t54 () (or @t53 @t52 @t51 @t49 @t2)) % 15.50/15.83 (define @t55 () (@list @t48 @t50)) % 15.50/15.83 (define @t56 () (forall @t55 @t54)) % 15.50/15.83 (define @t57 () (@var "O" $$unsorted)) % 15.50/15.83 (define @t58 () (@var "N" $$unsorted)) % 15.50/15.83 (define @t59 () (not (tptp.big_r @t58 @t57))) % 15.50/15.83 (define @t60 () (not (tptp.big_p @t57))) % 15.50/15.83 (define @t61 () (tptp.big_p (tptp.sk5 @t58))) % 15.50/15.83 (define @t62 () (@var "M" $$unsorted)) % 15.50/15.83 (define @t63 () (tptp.big_p (tptp.sk1 @t62))) % 15.50/15.83 (define @t64 () (tptp.big_p @t62)) % 15.50/15.83 (define @t65 () (or @t64 @t63 @t61 @t60 @t2 @t59)) % 15.50/15.83 (define @t66 () (@list @t62 @t58 @t57)) % 15.50/15.83 (define @t67 () (forall @t66 @t65)) % 15.50/15.83 (define @t68 () (@var "R" $$unsorted)) % 15.50/15.83 (define @t69 () (@var "Q" $$unsorted)) % 15.50/15.83 (define @t70 () (not (tptp.big_r @t69 @t68))) % 15.50/15.83 (define @t71 () (not (tptp.big_p @t68))) % 15.50/15.83 (define @t72 () (tptp.big_r @t69 (tptp.sk6 @t69))) % 15.50/15.83 (define @t73 () (@var "P" $$unsorted)) % 15.50/15.83 (define @t74 () (tptp.big_p (tptp.sk1 @t73))) % 15.50/15.83 (define @t75 () (tptp.big_p @t73)) % 15.50/15.83 (define @t76 () (or @t75 @t74 @t72 @t71 @t2 @t70)) % 15.50/15.83 (define @t77 () (@list @t73 @t69 @t68)) % 15.50/15.83 (define @t78 () (forall @t77 @t76)) % 15.50/15.83 (define @t79 () (@var "U" $$unsorted)) % 15.50/15.83 (define @t80 () (@var "T" $$unsorted)) % 15.50/15.83 (define @t81 () (not (tptp.big_r @t80 @t79))) % 15.50/15.83 (define @t82 () (not (tptp.big_p @t79))) % 15.50/15.83 (define @t83 () (tptp.big_r (tptp.sk6 @t80) (tptp.sk5 @t80))) % 15.50/15.83 (define @t84 () (@var "S" $$unsorted)) % 15.50/15.83 (define @t85 () (tptp.big_p (tptp.sk1 @t84))) % 15.50/15.83 (define @t86 () (tptp.big_p @t84)) % 15.50/15.83 (define @t87 () (or @t86 @t85 @t83 @t82 @t2 @t81)) % 15.50/15.83 (define @t88 () (@list @t84 @t80 @t79)) % 15.50/15.83 (define @t89 () (forall @t88 @t87)) % 15.50/15.83 (define @t90 () (@var "X" $$unsorted)) % 15.50/15.83 (define @t91 () (@var "W" $$unsorted)) % 15.50/15.83 (define @t92 () (not (tptp.big_r @t91 @t90))) % 15.50/15.83 (define @t93 () (not (tptp.big_p @t90))) % 15.50/15.83 (define @t94 () (@var "V" $$unsorted)) % 15.50/15.83 (define @t95 () (tptp.big_r @t94 (tptp.sk2 @t94))) % 15.50/15.83 (define @t96 () (tptp.big_p (tptp.sk5 @t91))) % 15.50/15.83 (define @t97 () (tptp.big_p @t94)) % 15.50/15.83 (define @t98 () (or @t97 @t96 @t95 @t93 @t2 @t92)) % 15.50/15.83 (define @t99 () (@list @t94 @t91 @t90)) % 15.50/15.83 (define @t100 () (forall @t99 @t98)) % 15.50/15.83 (define @t101 () (@var "A1" $$unsorted)) % 15.50/15.83 (define @t102 () (@var "Z" $$unsorted)) % 15.50/15.83 (define @t103 () (not (tptp.big_r @t102 @t101))) % 15.50/15.83 (define @t104 () (not (tptp.big_p @t101))) % 15.50/15.83 (define @t105 () (@var "Y" $$unsorted)) % 15.50/15.83 (define @t106 () (tptp.big_r @t105 (tptp.sk2 @t105))) % 15.50/15.83 (define @t107 () (tptp.big_r @t102 (tptp.sk6 @t102))) % 15.50/15.83 (define @t108 () (tptp.big_p @t105)) % 15.50/15.83 (define @t109 () (or @t108 @t107 @t106 @t104 @t2 @t103)) % 15.50/15.83 (define @t110 () (@list @t105 @t102 @t101)) % 15.50/15.83 (define @t111 () (forall @t110 @t109)) % 15.50/15.83 (define @t112 () (@var "D1" $$unsorted)) % 15.50/15.83 (define @t113 () (@var "C1" $$unsorted)) % 15.50/15.83 (define @t114 () (not (tptp.big_r @t113 @t112))) % 15.50/15.83 (define @t115 () (not (tptp.big_p @t112))) % 15.50/15.83 (define @t116 () (tptp.big_r (tptp.sk6 @t113) (tptp.sk5 @t113))) % 15.50/15.83 (define @t117 () (@var "B1" $$unsorted)) % 15.50/15.83 (define @t118 () (tptp.big_r @t117 (tptp.sk2 @t117))) % 15.50/15.83 (define @t119 () (tptp.big_p @t117)) % 15.50/15.83 (define @t120 () (or @t119 @t118 @t116 @t115 @t2 @t114)) % 15.50/15.83 (define @t121 () (@list @t117 @t113 @t112)) % 15.50/15.83 (define @t122 () (forall @t121 @t120)) % 15.50/15.83 (define @t123 () (@var "F1" $$unsorted)) % 15.50/15.83 (define @t124 () (tptp.big_r (tptp.sk2 @t123) (tptp.sk1 @t123))) % 15.50/15.83 (define @t125 () (@var "E1" $$unsorted)) % 15.50/15.83 (define @t126 () (tptp.big_p (tptp.sk3 @t125))) % 15.50/15.83 (define @t127 () (tptp.big_p @t123)) % 15.50/15.83 (define @t128 () (tptp.big_p @t125)) % 15.50/15.83 (define @t129 () (or @t128 @t127 @t126 @t124 @t2)) % 15.50/15.83 (define @t130 () (@list @t125 @t123)) % 15.50/15.83 (define @t131 () (forall @t130 @t129)) % 15.50/15.83 (define @t132 () (@var "H1" $$unsorted)) % 15.50/15.83 (define @t133 () (tptp.big_r (tptp.sk2 @t132) (tptp.sk1 @t132))) % 15.50/15.83 (define @t134 () (@var "G1" $$unsorted)) % 15.50/15.83 (define @t135 () (tptp.big_r @t134 (tptp.sk4 @t134))) % 15.50/15.83 (define @t136 () (tptp.big_p @t132)) % 15.50/15.83 (define @t137 () (tptp.big_p @t134)) % 15.50/15.83 (define @t138 () (or @t137 @t136 @t135 @t133 @t2)) % 15.50/15.83 (define @t139 () (@list @t134 @t132)) % 15.50/15.83 (define @t140 () (forall @t139 @t138)) % 15.50/15.83 (define @t141 () (@var "I1" $$unsorted)) % 15.50/15.83 (define @t142 () (tptp.big_r (tptp.sk4 @t141) (tptp.sk3 @t141))) % 15.50/15.83 (define @t143 () (@var "J1" $$unsorted)) % 15.50/15.83 (define @t144 () (tptp.big_r (tptp.sk2 @t143) (tptp.sk1 @t143))) % 15.50/15.83 (define @t145 () (tptp.big_p @t143)) % 15.50/15.83 (define @t146 () (tptp.big_p @t141)) % 15.50/15.83 (define @t147 () (or @t146 @t145 @t144 @t142 @t2)) % 15.50/15.83 (define @t148 () (@list @t141 @t143)) % 15.50/15.83 (define @t149 () (forall @t148 @t147)) % 15.50/15.83 (define @t150 () (@var "M1" $$unsorted)) % 15.50/15.83 (define @t151 () (@var "L1" $$unsorted)) % 15.50/15.83 (define @t152 () (not (tptp.big_r @t151 @t150))) % 15.50/15.83 (define @t153 () (not (tptp.big_p @t150))) % 15.50/15.83 (define @t154 () (@var "K1" $$unsorted)) % 15.50/15.83 (define @t155 () (tptp.big_p (tptp.sk1 @t151))) % 15.50/15.83 (define @t156 () (@var "P1" $$unsorted)) % 15.50/15.83 (define @t157 () (@var "O1" $$unsorted)) % 15.50/15.83 (define @t158 () (not (tptp.big_r @t157 @t156))) % 15.50/15.83 (define @t159 () (not (tptp.big_p @t156))) % 15.50/15.83 (define @t160 () (tptp.big_r @t157 (tptp.sk2 @t157))) % 15.50/15.83 (define @t161 () (@var "N1" $$unsorted)) % 15.50/15.83 (define @t162 () (@var "S1" $$unsorted)) % 15.50/15.83 (define @t163 () (@var "R1" $$unsorted)) % 15.50/15.83 (define @t164 () (@var "Q1" $$unsorted)) % 15.50/15.83 (define @t165 () (@var "V1" $$unsorted)) % 15.50/15.83 (define @t166 () (@var "U1" $$unsorted)) % 15.50/15.83 (define @t167 () (@var "T1" $$unsorted)) % 15.50/15.83 (define @t168 () (@var "Y1" $$unsorted)) % 15.50/15.83 (define @t169 () (@var "X1" $$unsorted)) % 15.50/15.83 (define @t170 () (not (tptp.big_r @t169 @t168))) % 15.50/15.83 (define @t171 () (not (tptp.big_p @t168))) % 15.50/15.83 (define @t172 () (tptp.big_r (tptp.sk2 @t169) (tptp.sk1 @t169))) % 15.50/15.83 (define @t173 () (@var "W1" $$unsorted)) % 15.50/15.83 (define @t174 () (@var "B2" $$unsorted)) % 15.50/15.83 (define @t175 () (@var "A2" $$unsorted)) % 15.50/15.83 (define @t176 () (@var "Z1" $$unsorted)) % 15.50/15.83 (define @t177 () (@var "E2" $$unsorted)) % 15.50/15.83 (define @t178 () (@var "D2" $$unsorted)) % 15.50/15.83 (define @t179 () (@var "C2" $$unsorted)) % 15.50/15.83 (define @t180 () (@var "H2" $$unsorted)) % 15.50/15.83 (define @t181 () (@var "G2" $$unsorted)) % 15.50/15.83 (define @t182 () (@var "F2" $$unsorted)) % 15.50/15.83 (define @t183 () (@var "K2" $$unsorted)) % 15.50/15.83 (define @t184 () (@var "J2" $$unsorted)) % 15.50/15.83 (define @t185 () (@var "I2" $$unsorted)) % 15.50/15.83 (define @t186 () (@var "N2" $$unsorted)) % 15.50/15.83 (define @t187 () (@var "M2" $$unsorted)) % 15.50/15.83 (define @t188 () (not (tptp.big_r @t187 @t186))) % 15.50/15.83 (define @t189 () (not (tptp.big_p @t186))) % 15.50/15.83 (define @t190 () (@var "L2" $$unsorted)) % 15.50/15.83 (define @t191 () (tptp.big_r (tptp.sk2 @t190) (tptp.sk1 @t190))) % 15.50/15.83 (define @t192 () (tptp.big_p (tptp.sk5 @t187))) % 15.50/15.83 (define @t193 () (tptp.big_p @t190)) % 15.50/15.83 (define @t194 () (or @t193 @t192 @t191 @t189 @t2 @t188)) % 15.50/15.83 (define @t195 () (@list @t190 @t187 @t186)) % 15.50/15.83 (define @t196 () (forall @t195 @t194)) % 15.50/15.83 (define @t197 () (@var "Q2" $$unsorted)) % 15.50/15.83 (define @t198 () (@var "P2" $$unsorted)) % 15.50/15.83 (define @t199 () (not (tptp.big_r @t198 @t197))) % 15.50/15.83 (define @t200 () (not (tptp.big_p @t197))) % 15.50/15.83 (define @t201 () (@var "O2" $$unsorted)) % 15.50/15.83 (define @t202 () (tptp.big_r (tptp.sk2 @t201) (tptp.sk1 @t201))) % 15.50/15.83 (define @t203 () (tptp.big_r @t198 (tptp.sk6 @t198))) % 15.50/15.83 (define @t204 () (tptp.big_p @t201)) % 15.50/15.83 (define @t205 () (or @t204 @t203 @t202 @t200 @t2 @t199)) % 15.50/15.83 (define @t206 () (@list @t201 @t198 @t197)) % 15.50/15.83 (define @t207 () (forall @t206 @t205)) % 15.50/15.83 (define @t208 () (@var "T2" $$unsorted)) % 15.50/15.83 (define @t209 () (@var "S2" $$unsorted)) % 15.50/15.83 (define @t210 () (not (tptp.big_r @t209 @t208))) % 15.50/15.83 (define @t211 () (not (tptp.big_p @t208))) % 15.50/15.83 (define @t212 () (tptp.big_r (tptp.sk6 @t209) (tptp.sk5 @t209))) % 15.50/15.83 (define @t213 () (@var "R2" $$unsorted)) % 15.50/15.83 (define @t214 () (tptp.big_r (tptp.sk2 @t213) (tptp.sk1 @t213))) % 15.50/15.83 (define @t215 () (tptp.big_p @t213)) % 15.50/15.83 (define @t216 () (or @t215 @t214 @t212 @t211 @t2 @t210)) % 15.50/15.83 (define @t217 () (@list @t213 @t209 @t208)) % 15.50/15.83 (define @t218 () (forall @t217 @t216)) % 15.50/15.83 (define @t219 () (@var "X2" $$unsorted)) % 15.50/15.83 (define @t220 () (@var "U2" $$unsorted)) % 15.50/15.83 (define @t221 () (not (tptp.big_r @t220 @t219))) % 15.50/15.83 (define @t222 () (@var "W2" $$unsorted)) % 15.50/15.83 (define @t223 () (@var "V2" $$unsorted)) % 15.50/15.83 (define @t224 () (not (tptp.big_r @t223 @t222))) % 15.50/15.83 (define @t225 () (not (tptp.big_p @t219))) % 15.50/15.83 (define @t226 () (not (tptp.big_p @t222))) % 15.50/15.83 (define @t227 () (tptp.big_p (tptp.sk5 @t223))) % 15.50/15.83 (define @t228 () (tptp.big_p (tptp.sk1 @t220))) % 15.50/15.83 (define @t229 () (or @t228 @t227 @t226 @t225 @t2 @t224 @t221)) % 15.50/15.83 (define @t230 () (forall (@list @t220 @t223 @t222 @t219) @t229)) % 15.50/15.83 (define @t231 () (@var "B3" $$unsorted)) % 15.50/15.83 (define @t232 () (@var "Z2" $$unsorted)) % 15.50/15.83 (define @t233 () (not (tptp.big_r @t232 @t231))) % 15.50/15.83 (define @t234 () (@var "A3" $$unsorted)) % 15.50/15.83 (define @t235 () (@var "Y2" $$unsorted)) % 15.50/15.83 (define @t236 () (not (tptp.big_r @t235 @t234))) % 15.50/15.83 (define @t237 () (not (tptp.big_p @t231))) % 15.50/15.83 (define @t238 () (not (tptp.big_p @t234))) % 15.50/15.83 (define @t239 () (tptp.big_r @t232 (tptp.sk2 @t232))) % 15.50/15.83 (define @t240 () (tptp.big_p (tptp.sk5 @t235))) % 15.50/15.83 (define @t241 () (or @t240 @t239 @t238 @t237 @t2 @t236 @t233)) % 15.50/15.83 (define @t242 () (forall (@list @t235 @t232 @t234 @t231) @t241)) % 15.50/15.83 (define @t243 () (@var "F3" $$unsorted)) % 15.50/15.83 (define @t244 () (@var "C3" $$unsorted)) % 15.50/15.83 (define @t245 () (not (tptp.big_r @t244 @t243))) % 15.50/15.83 (define @t246 () (@var "E3" $$unsorted)) % 15.50/15.83 (define @t247 () (@var "D3" $$unsorted)) % 15.50/15.83 (define @t248 () (not (tptp.big_r @t247 @t246))) % 15.50/15.83 (define @t249 () (not (tptp.big_p @t243))) % 15.50/15.83 (define @t250 () (not (tptp.big_p @t246))) % 15.50/15.83 (define @t251 () (tptp.big_r @t247 (tptp.sk6 @t247))) % 15.50/15.83 (define @t252 () (tptp.big_p (tptp.sk1 @t244))) % 15.50/15.83 (define @t253 () (or @t252 @t251 @t250 @t249 @t2 @t248 @t245)) % 15.50/15.83 (define @t254 () (forall (@list @t244 @t247 @t246 @t243) @t253)) % 15.50/15.83 (define @t255 () (@var "J3" $$unsorted)) % 15.50/15.83 (define @t256 () (@var "H3" $$unsorted)) % 15.50/15.83 (define @t257 () (not (tptp.big_r @t256 @t255))) % 15.50/15.83 (define @t258 () (@var "I3" $$unsorted)) % 15.50/15.83 (define @t259 () (@var "G3" $$unsorted)) % 15.50/15.83 (define @t260 () (not (tptp.big_r @t259 @t258))) % 15.50/15.83 (define @t261 () (not (tptp.big_p @t255))) % 15.50/15.83 (define @t262 () (not (tptp.big_p @t258))) % 15.50/15.83 (define @t263 () (tptp.big_r @t256 (tptp.sk2 @t256))) % 15.50/15.83 (define @t264 () (tptp.big_r @t259 (tptp.sk6 @t259))) % 15.50/15.83 (define @t265 () (or @t264 @t263 @t262 @t261 @t2 @t260 @t257)) % 15.50/15.83 (define @t266 () (forall (@list @t259 @t256 @t258 @t255) @t265)) % 15.50/15.83 (define @t267 () (@var "N3" $$unsorted)) % 15.50/15.83 (define @t268 () (@var "L3" $$unsorted)) % 15.50/15.83 (define @t269 () (not (tptp.big_r @t268 @t267))) % 15.50/15.83 (define @t270 () (@var "M3" $$unsorted)) % 15.50/15.83 (define @t271 () (@var "K3" $$unsorted)) % 15.50/15.83 (define @t272 () (not (tptp.big_r @t271 @t270))) % 15.50/15.83 (define @t273 () (not (tptp.big_p @t267))) % 15.50/15.83 (define @t274 () (not (tptp.big_p @t270))) % 15.50/15.83 (define @t275 () (tptp.big_r (tptp.sk2 @t268) (tptp.sk1 @t268))) % 15.50/15.83 (define @t276 () (tptp.big_p (tptp.sk5 @t271))) % 15.50/15.83 (define @t277 () (or @t276 @t275 @t274 @t273 @t2 @t272 @t269)) % 15.50/15.83 (define @t278 () (forall (@list @t271 @t268 @t270 @t267) @t277)) % 15.50/15.83 (define @t279 () (@var "R3" $$unsorted)) % 15.50/15.83 (define @t280 () (@var "P3" $$unsorted)) % 15.50/15.83 (define @t281 () (not (tptp.big_r @t280 @t279))) % 15.50/15.83 (define @t282 () (@var "Q3" $$unsorted)) % 15.50/15.83 (define @t283 () (@var "O3" $$unsorted)) % 15.50/15.83 (define @t284 () (not (tptp.big_r @t283 @t282))) % 15.50/15.83 (define @t285 () (not (tptp.big_p @t279))) % 15.50/15.83 (define @t286 () (not (tptp.big_p @t282))) % 15.50/15.83 (define @t287 () (tptp.big_r (tptp.sk2 @t280) (tptp.sk1 @t280))) % 15.50/15.83 (define @t288 () (tptp.big_r @t283 (tptp.sk6 @t283))) % 15.50/15.83 (define @t289 () (or @t288 @t287 @t286 @t285 @t2 @t284 @t281)) % 15.50/15.83 (define @t290 () (forall (@list @t283 @t280 @t282 @t279) @t289)) % 15.50/15.83 (define @t291 () (@var "V3" $$unsorted)) % 15.50/15.83 (define @t292 () (@var "S3" $$unsorted)) % 15.50/15.83 (define @t293 () (not (tptp.big_r @t292 @t291))) % 15.50/15.83 (define @t294 () (@var "U3" $$unsorted)) % 15.50/15.83 (define @t295 () (@var "T3" $$unsorted)) % 15.50/15.83 (define @t296 () (not (tptp.big_r @t295 @t294))) % 15.50/15.83 (define @t297 () (not (tptp.big_p @t291))) % 15.50/15.83 (define @t298 () (not (tptp.big_p @t294))) % 15.50/15.83 (define @t299 () (tptp.big_r (tptp.sk6 @t295) (tptp.sk5 @t295))) % 15.50/15.83 (define @t300 () (tptp.big_p (tptp.sk1 @t292))) % 15.50/15.83 (define @t301 () (or @t300 @t299 @t298 @t297 @t2 @t296 @t293)) % 15.50/15.83 (define @t302 () (forall (@list @t292 @t295 @t294 @t291) @t301)) % 15.50/15.83 (define @t303 () (@var "Z3" $$unsorted)) % 15.50/15.83 (define @t304 () (@var "W3" $$unsorted)) % 15.50/15.83 (define @t305 () (not (tptp.big_r @t304 @t303))) % 15.50/15.83 (define @t306 () (@var "Y3" $$unsorted)) % 15.50/15.83 (define @t307 () (@var "X3" $$unsorted)) % 15.50/15.83 (define @t308 () (not (tptp.big_r @t307 @t306))) % 15.50/15.83 (define @t309 () (not (tptp.big_p @t303))) % 15.50/15.83 (define @t310 () (not (tptp.big_p @t306))) % 15.50/15.83 (define @t311 () (tptp.big_r (tptp.sk6 @t307) (tptp.sk5 @t307))) % 15.50/15.83 (define @t312 () (tptp.big_r @t304 (tptp.sk2 @t304))) % 15.50/15.83 (define @t313 () (or @t312 @t311 @t310 @t309 @t2 @t308 @t305)) % 15.50/15.83 (define @t314 () (forall (@list @t304 @t307 @t306 @t303) @t313)) % 15.50/15.83 (define @t315 () (@var "D4" $$unsorted)) % 15.50/15.83 (define @t316 () (@var "A4" $$unsorted)) % 15.50/15.83 (define @t317 () (not (tptp.big_r @t316 @t315))) % 15.50/15.83 (define @t318 () (@var "C4" $$unsorted)) % 15.50/15.83 (define @t319 () (@var "B4" $$unsorted)) % 15.50/15.83 (define @t320 () (not (tptp.big_r @t319 @t318))) % 15.50/15.83 (define @t321 () (not (tptp.big_p @t315))) % 15.50/15.83 (define @t322 () (not (tptp.big_p @t318))) % 15.50/15.83 (define @t323 () (tptp.big_r (tptp.sk6 @t319) (tptp.sk5 @t319))) % 15.50/15.83 (define @t324 () (tptp.big_r (tptp.sk2 @t316) (tptp.sk1 @t316))) % 15.50/15.83 (define @t325 () (or @t324 @t323 @t322 @t321 @t2 @t320 @t317)) % 15.50/15.83 (define @t326 () (forall (@list @t316 @t319 @t318 @t315) @t325)) % 15.50/15.83 (define @t327 () (tptp.big_p tptp.sk9)) % 15.50/15.83 (define @t328 () (not @t327)) % 15.50/15.83 (define @t329 () (tptp.big_p tptp.sk7)) % 15.50/15.83 (define @t330 () (not @t329)) % 15.50/15.83 (define @t331 () (tptp.big_p tptp.sk8)) % 15.50/15.83 (define @t332 () (tptp.big_p tptp.sk10)) % 15.50/15.83 (define @t333 () (tptp.big_r tptp.sk9 tptp.sk10)) % 15.50/15.83 (define @t334 () (tptp.big_r tptp.sk7 tptp.sk8)) % 15.50/15.83 (define @t335 () (@var "F4" $$unsorted)) % 15.50/15.83 (define @t336 () (not (tptp.big_r tptp.sk9 @t335))) % 15.50/15.83 (define @t337 () (@var "E4" $$unsorted)) % 15.50/15.83 (define @t338 () (not (tptp.big_r @t335 @t337))) % 15.50/15.83 (define @t339 () (not (tptp.big_p @t337))) % 15.50/15.83 (define @t340 () (or @t331 @t339 @t330 @t338 @t336)) % 15.50/15.83 (define @t341 () (@list @t337 @t335)) % 15.50/15.83 (define @t342 () (forall @t341 @t340)) % 15.50/15.83 (define @t343 () (@var "H4" $$unsorted)) % 15.50/15.83 (define @t344 () (not (tptp.big_r tptp.sk9 @t343))) % 15.50/15.83 (define @t345 () (@var "G4" $$unsorted)) % 15.50/15.83 (define @t346 () (not (tptp.big_r @t343 @t345))) % 15.50/15.83 (define @t347 () (not (tptp.big_p @t345))) % 15.50/15.83 (define @t348 () (or @t334 @t347 @t330 @t346 @t344)) % 15.50/15.83 (define @t349 () (@list @t345 @t343)) % 15.50/15.83 (define @t350 () (forall @t349 @t348)) % 15.50/15.83 (define @t351 () (@var "J4" $$unsorted)) % 15.50/15.83 (define @t352 () (not (tptp.big_r tptp.sk7 @t351))) % 15.50/15.83 (define @t353 () (@var "I4" $$unsorted)) % 15.50/15.83 (define @t354 () (not (tptp.big_r @t351 @t353))) % 15.50/15.83 (define @t355 () (not (tptp.big_p @t353))) % 15.50/15.83 (define @t356 () (or @t332 @t355 @t328 @t354 @t352)) % 15.50/15.83 (define @t357 () (@list @t353 @t351)) % 15.50/15.83 (define @t358 () (forall @t357 @t356)) % 15.50/15.83 (define @t359 () (@var "L4" $$unsorted)) % 15.50/15.83 (define @t360 () (not (tptp.big_r tptp.sk7 @t359))) % 15.50/15.83 (define @t361 () (@var "K4" $$unsorted)) % 15.50/15.83 (define @t362 () (not (tptp.big_r @t359 @t361))) % 15.50/15.83 (define @t363 () (not (tptp.big_p @t361))) % 15.50/15.83 (define @t364 () (or @t333 @t363 @t328 @t362 @t360)) % 15.50/15.83 (define @t365 () (@list @t361 @t359)) % 15.50/15.83 (define @t366 () (forall @t365 @t364)) % 15.50/15.83 (define @t367 () (@var "O4" $$unsorted)) % 15.50/15.83 (define @t368 () (not (tptp.big_r tptp.sk9 @t367))) % 15.50/15.83 (define @t369 () (@var "P4" $$unsorted)) % 15.50/15.83 (define @t370 () (not (tptp.big_r tptp.sk7 @t369))) % 15.50/15.83 (define @t371 () (@var "N4" $$unsorted)) % 15.50/15.83 (define @t372 () (not (tptp.big_r @t369 @t371))) % 15.50/15.83 (define @t373 () (@var "M4" $$unsorted)) % 15.50/15.83 (define @t374 () (not (tptp.big_r @t367 @t373))) % 15.50/15.83 (define @t375 () (not (tptp.big_p @t371))) % 15.50/15.83 (define @t376 () (not (tptp.big_p @t373))) % 15.50/15.83 (define @t377 () (or @t376 @t375 @t374 @t372 @t370 @t368)) % 15.50/15.83 (define @t378 () (forall (@list @t373 @t371 @t367 @t369) @t377)) % 15.50/15.83 (define @t379 () (or @t8 @t4)) % 15.50/15.83 (define @t380 () (forall (@list @t3) @t379)) % 15.50/15.83 (define @t381 () (@list tptp.sk7)) % 15.50/15.83 (define @t382 () (tptp.sk3 tptp.sk7)) % 15.50/15.83 (define @t383 () (tptp.big_p @t382)) % 15.50/15.83 (define @t384 () (or @t329 @t383)) % 15.50/15.83 (define @t385 () (@list tptp.sk9)) % 15.50/15.83 (define @t386 () (tptp.sk3 tptp.sk9)) % 15.50/15.83 (define @t387 () (tptp.big_p @t386)) % 15.50/15.83 (define @t388 () (or @t327 @t387)) % 15.50/15.83 (define @t389 () (or @t16 @t15)) % 15.50/15.83 (define @t390 () (forall (@list @t14) @t389)) % 15.50/15.83 (define @t391 () (or @t17 @t13)) % 15.50/15.83 (define @t392 () (forall (@list @t12) @t391)) % 15.50/15.83 (define @t393 () (or @t2 @t391 @t389)) % 15.50/15.83 (define @t394 () (@list @t12)) % 15.50/15.83 (define @t395 () (or @t7 @t6)) % 15.50/15.83 (define @t396 () (forall (@list @t5) @t395)) % 15.50/15.83 (define @t397 () (@list @t5)) % 15.50/15.83 (define @t398 () (or @t43 @t40)) % 15.50/15.83 (define @t399 () (forall (@list @t39) @t398)) % 15.50/15.83 (define @t400 () (or @t44 @t42)) % 15.50/15.83 (define @t401 () (forall (@list @t41) @t400)) % 15.50/15.83 (define @t402 () (or @t2 @t400 @t398)) % 15.50/15.83 (define @t403 () (or @t136 @t133)) % 15.50/15.83 (define @t404 () (forall (@list @t132) @t403)) % 15.50/15.83 (define @t405 () (or @t137 @t135)) % 15.50/15.83 (define @t406 () (forall (@list @t134) @t405)) % 15.50/15.83 (define @t407 () (or @t2 @t405 @t403)) % 15.50/15.83 (define @t408 () (tptp.sk1 tptp.sk7)) % 15.50/15.83 (define @t409 () (tptp.big_p @t408)) % 15.50/15.83 (define @t410 () (or @t329 @t409)) % 15.50/15.83 (define @t411 () (tptp.sk1 tptp.sk9)) % 15.50/15.83 (define @t412 () (tptp.big_p @t411)) % 15.50/15.83 (define @t413 () (or @t327 @t412)) % 15.50/15.83 (define @t414 () (or @t34 @t31)) % 15.50/15.83 (define @t415 () (forall (@list @t30) @t414)) % 15.50/15.83 (define @t416 () (@list @t30)) % 15.50/15.83 (define @t417 () (or @t127 @t124)) % 15.50/15.83 (define @t418 () (forall (@list @t123) @t417)) % 15.50/15.83 (define @t419 () (@list @t123)) % 15.50/15.83 (define @t420 () (tptp.sk2 tptp.sk7)) % 15.50/15.83 (define @t421 () (tptp.big_r tptp.sk7 @t420)) % 15.50/15.83 (define @t422 () (or @t329 @t421)) % 15.50/15.83 (define @t423 () (tptp.sk2 tptp.sk9)) % 15.50/15.83 (define @t424 () (tptp.big_r tptp.sk9 @t423)) % 15.50/15.83 (define @t425 () (or @t327 @t424)) % 15.50/15.83 (define @t426 () (tptp.big_r @t420 @t408)) % 15.50/15.83 (define @t427 () (or @t329 @t426)) % 15.50/15.83 (define @t428 () (tptp.big_r @t423 @t411)) % 15.50/15.83 (define @t429 () (or @t327 @t428)) % 15.50/15.83 (define @t430 () (forall (@list @t151 @t150) (or @t155 @t153 @t152))) % 15.50/15.83 (define @t431 () (@list tptp.sk7 tptp.sk8)) % 15.50/15.83 (define @t432 () (not @t334)) % 15.50/15.83 (define @t433 () (not @t331)) % 15.50/15.83 (define @t434 () (or @t409 @t433 @t432)) % 15.50/15.83 (define @t435 () (@list tptp.sk9 tptp.sk10)) % 15.50/15.83 (define @t436 () (not @t333)) % 15.50/15.83 (define @t437 () (not @t332)) % 15.50/15.83 (define @t438 () (or @t412 @t437 @t436)) % 15.50/15.83 (define @t439 () (or @t72 @t71 @t70)) % 15.50/15.83 (define @t440 () (forall (@list @t69 @t68) @t439)) % 15.50/15.83 (define @t441 () (@list @t69 @t68)) % 15.50/15.83 (define @t442 () (or @t263 @t261 @t257)) % 15.50/15.83 (define @t443 () (forall (@list @t256 @t255) @t442)) % 15.50/15.83 (define @t444 () (or @t264 @t262 @t260)) % 15.50/15.83 (define @t445 () (forall (@list @t259 @t258) @t444)) % 15.50/15.83 (define @t446 () (or @t2 @t444 @t442)) % 15.50/15.83 (define @t447 () (@list @t259 @t258 @t256 @t255)) % 15.50/15.83 (define @t448 () (forall @t447 @t265)) % 15.50/15.83 (define @t449 () (or @t287 @t285 @t281)) % 15.50/15.83 (define @t450 () (forall (@list @t280 @t279) @t449)) % 15.50/15.83 (define @t451 () (or @t288 @t286 @t284)) % 15.50/15.83 (define @t452 () (forall (@list @t283 @t282) @t451)) % 15.50/15.83 (define @t453 () (or @t2 @t451 @t449)) % 15.50/15.83 (define @t454 () (@list @t283 @t282 @t280 @t279)) % 15.50/15.83 (define @t455 () (forall @t454 @t289)) % 15.50/15.83 (define @t456 () (forall (@list @t157 @t156) (or @t160 @t159 @t158))) % 15.50/15.83 (define @t457 () (@list @t157 @t156)) % 15.50/15.83 (define @t458 () (forall (@list @t169 @t168) (or @t172 @t171 @t170))) % 15.50/15.83 (define @t459 () (@list @t169 @t168)) % 15.50/15.83 (define @t460 () (or @t421 @t433 @t432)) % 15.50/15.83 (define @t461 () (or @t424 @t437 @t436)) % 15.50/15.83 (define @t462 () (or @t426 @t433 @t432)) % 15.50/15.83 (define @t463 () (or @t428 @t437 @t436)) % 15.50/15.83 (define @t464 () (or @t355 @t354 @t352)) % 15.50/15.83 (define @t465 () (forall @t357 @t464)) % 15.50/15.83 (define @t466 () (@list @t351 @t353)) % 15.50/15.83 (define @t467 () (or @t375 @t372 @t370)) % 15.50/15.83 (define @t468 () (forall (@list @t371 @t369) @t467)) % 15.50/15.83 (define @t469 () (or @t376 @t374 @t368)) % 15.50/15.83 (define @t470 () (forall (@list @t373 @t367) @t469)) % 15.50/15.83 (define @t471 () (or @t469 @t467)) % 15.50/15.83 (define @t472 () (@list @t373 @t367 @t371 @t369)) % 15.50/15.83 (define @t473 () (forall @t472 @t377)) % 15.50/15.83 (define @t474 () (or @t339 @t338 @t336)) % 15.50/15.83 (define @t475 () (forall @t341 @t474)) % 15.50/15.83 (define @t476 () (@list @t335 @t337)) % 15.50/15.83 (define @t477 () (not @t424)) % 15.50/15.83 (define @t478 () (not @t428)) % 15.50/15.83 (define @t479 () (not @t412)) % 15.50/15.83 (define @t480 () (or @t479 @t478 @t477)) % 15.50/15.83 (define @t481 () (not @t463)) % 15.50/15.83 (define @t482 () (not @t461)) % 15.50/15.83 (define @t483 () (not @t438)) % 15.50/15.83 (define @t484 () (not @t480)) % 15.50/15.83 (define @t485 () (@list false false false)) % 15.50/15.83 (define @t486 () (or @t363 @t362 @t360)) % 15.50/15.83 (define @t487 () (forall @t365 @t486)) % 15.50/15.83 (define @t488 () (or @t333 @t328 @t486)) % 15.50/15.83 (define @t489 () (not @t413)) % 15.50/15.83 (define @t490 () (not @t425)) % 15.50/15.83 (define @t491 () (not @t429)) % 15.50/15.83 (define @t492 () (not @t421)) % 15.50/15.83 (define @t493 () (not @t426)) % 15.50/15.83 (define @t494 () (not @t409)) % 15.50/15.83 (define @t495 () (or @t494 @t493 @t492)) % 15.50/15.83 (define @t496 () (not @t410)) % 15.50/15.83 (define @t497 () (not @t422)) % 15.50/15.83 (define @t498 () (not @t427)) % 15.50/15.83 (define @t499 () (not @t495)) % 15.50/15.83 (define @t500 () (or @t347 @t346 @t344)) % 15.50/15.83 (define @t501 () (forall @t349 @t500)) % 15.50/15.83 (define @t502 () (or @t334 @t330 @t500)) % 15.50/15.83 (define @t503 () (not @t462)) % 15.50/15.83 (define @t504 () (not @t460)) % 15.50/15.83 (define @t505 () (not @t434)) % 15.50/15.83 (define @t506 () (or @t331 @t330 @t474)) % 15.50/15.83 (define @t507 () (or @t332 @t328 @t464)) % 15.50/15.83 (define @t508 () (@list true false false false false false true true)) % 15.50/15.83 (define @t509 () (@list false false false false false true false)) % 15.50/15.83 (define @t510 () (or @t61 @t60 @t59)) % 15.50/15.83 (define @t511 () (forall (@list @t58 @t57) @t510)) % 15.50/15.83 (define @t512 () (tptp.sk5 tptp.sk9)) % 15.50/15.83 (define @t513 () (tptp.big_p @t512)) % 15.50/15.83 (define @t514 () (or @t513 @t437 @t436)) % 15.50/15.83 (define @t515 () (tptp.sk5 tptp.sk7)) % 15.50/15.83 (define @t516 () (tptp.big_p @t515)) % 15.50/15.83 (define @t517 () (or @t516 @t433 @t432)) % 15.50/15.83 (define @t518 () (tptp.sk6 tptp.sk9)) % 15.50/15.83 (define @t519 () (tptp.big_r tptp.sk9 @t518)) % 15.50/15.83 (define @t520 () (or @t519 @t437 @t436)) % 15.50/15.83 (define @t521 () (tptp.sk6 tptp.sk7)) % 15.50/15.83 (define @t522 () (tptp.big_r tptp.sk7 @t521)) % 15.50/15.83 (define @t523 () (or @t522 @t433 @t432)) % 15.50/15.83 (define @t524 () (or @t323 @t322 @t320)) % 15.50/15.83 (define @t525 () (forall (@list @t319 @t318) @t524)) % 15.50/15.83 (define @t526 () (or @t324 @t321 @t317)) % 15.50/15.83 (define @t527 () (forall (@list @t316 @t315) @t526)) % 15.50/15.83 (define @t528 () (or @t2 @t526 @t524)) % 15.50/15.83 (define @t529 () (@list @t316 @t315 @t319 @t318)) % 15.50/15.83 (define @t530 () (forall @t529 @t325)) % 15.50/15.83 (define @t531 () (or @t83 @t82 @t81)) % 15.50/15.83 (define @t532 () (forall (@list @t80 @t79) @t531)) % 15.50/15.83 (define @t533 () (@list @t80 @t79)) % 15.50/15.83 (define @t534 () (tptp.big_r @t521 @t515)) % 15.50/15.83 (define @t535 () (or @t534 @t433 @t432)) % 15.50/15.83 (define @t536 () (tptp.big_r @t518 @t512)) % 15.50/15.83 (define @t537 () (or @t536 @t437 @t436)) % 15.50/15.83 (define @t538 () (not @t436)) % 15.50/15.83 (define @t539 () (not @t537)) % 15.50/15.83 (define @t540 () (not @t520)) % 15.50/15.83 (define @t541 () (not @t514)) % 15.50/15.83 (define @t542 () (not @t519)) % 15.50/15.83 (define @t543 () (not @t536)) % 15.50/15.83 (define @t544 () (not @t513)) % 15.50/15.83 (define @t545 () (or @t544 @t543 @t542)) % 15.50/15.83 (define @t546 () (@list false false false false false false false true true)) % 15.50/15.83 (define @t547 () (not @t522)) % 15.50/15.83 (define @t548 () (not @t534)) % 15.50/15.83 (define @t549 () (not @t516)) % 15.50/15.83 (define @t550 () (or @t549 @t548 @t547)) % 15.50/15.83 (define @t551 () (@list false false false false false false true false)) % 15.50/15.83 (define @t552 () (not @t535)) % 15.50/15.83 (define @t553 () (not @t523)) % 15.50/15.83 (define @t554 () (not @t517)) % 15.50/15.83 (define @t555 () (not @t550)) % 15.50/15.83 (define @t556 () (not @t433)) % 15.50/15.83 (define @t557 () (@list false false false false true false false false true false false false false false false false false false false true true)) % 15.50/15.83 (define @t558 () (@list false false false false true false true false false false false false true false false false false true true false false)) % 15.50/15.83 (define @t559 () (or @t311 @t310 @t308)) % 15.50/15.83 (define @t560 () (forall (@list @t307 @t306) @t559)) % 15.50/15.83 (define @t561 () (or @t312 @t309 @t305)) % 15.50/15.83 (define @t562 () (forall (@list @t304 @t303) @t561)) % 15.50/15.83 (define @t563 () (or @t2 @t561 @t559)) % 15.50/15.83 (define @t564 () (@list @t304 @t303 @t307 @t306)) % 15.50/15.83 (define @t565 () (forall @t564 @t313)) % 15.50/15.83 (define @t566 () (@list @t58 @t57)) % 15.50/15.83 (define @t567 () (or @t239 @t237 @t233)) % 15.50/15.83 (define @t568 () (forall (@list @t232 @t231) @t567)) % 15.50/15.83 (define @t569 () (or @t240 @t238 @t236)) % 15.50/15.83 (define @t570 () (forall (@list @t235 @t234) @t569)) % 15.50/15.83 (define @t571 () (or @t2 @t569 @t567)) % 15.50/15.83 (define @t572 () (@list @t235 @t234 @t232 @t231)) % 15.50/15.83 (define @t573 () (forall @t572 @t241)) % 15.50/15.83 (define @t574 () (or @t275 @t273 @t269)) % 15.50/15.83 (define @t575 () (forall (@list @t268 @t267) @t574)) % 15.50/15.83 (define @t576 () (or @t276 @t274 @t272)) % 15.50/15.83 (define @t577 () (forall (@list @t271 @t270) @t576)) % 15.50/15.83 (define @t578 () (or @t2 @t576 @t574)) % 15.50/15.83 (define @t579 () (@list @t271 @t270 @t268 @t267)) % 15.50/15.83 (define @t580 () (forall @t579 @t277)) % 15.50/15.83 (define @t581 () (@list @t151 @t150)) % 15.50/15.83 (define @t582 () (or @t227 @t226 @t224)) % 15.50/15.83 (define @t583 () (forall (@list @t223 @t222) @t582)) % 15.50/15.83 (define @t584 () (or @t228 @t225 @t221)) % 15.50/15.83 (define @t585 () (forall (@list @t220 @t219) @t584)) % 15.50/15.83 (define @t586 () (or @t2 @t584 @t582)) % 15.50/15.83 (define @t587 () (@list @t220 @t219 @t223 @t222)) % 15.50/15.83 (define @t588 () (forall @t587 @t229)) % 15.50/15.83 (define @t589 () (or @t251 @t250 @t248)) % 15.50/15.83 (define @t590 () (forall (@list @t247 @t246) @t589)) % 15.50/15.83 (define @t591 () (or @t252 @t249 @t245)) % 15.50/15.83 (define @t592 () (forall (@list @t244 @t243) @t591)) % 15.50/15.83 (define @t593 () (or @t2 @t591 @t589)) % 15.50/15.83 (define @t594 () (@list @t244 @t243 @t247 @t246)) % 15.50/15.83 (define @t595 () (forall @t594 @t253)) % 15.50/15.83 (define @t596 () (or @t299 @t298 @t296)) % 15.50/15.83 (define @t597 () (forall (@list @t295 @t294) @t596)) % 15.50/15.83 (define @t598 () (or @t300 @t297 @t293)) % 15.50/15.83 (define @t599 () (forall (@list @t292 @t291) @t598)) % 15.50/15.83 (define @t600 () (or @t2 @t598 @t596)) % 15.50/15.83 (define @t601 () (@list @t292 @t291 @t295 @t294)) % 15.50/15.83 (define @t602 () (forall @t601 @t301)) % 15.50/15.83 (define @t603 () (@list false false false false false false false false false false false true true false false)) % 15.50/15.83 (define @t604 () (tptp.sk4 tptp.sk7)) % 15.50/15.83 (define @t605 () (tptp.big_r tptp.sk7 @t604)) % 15.50/15.83 (define @t606 () (or @t329 @t605)) % 15.50/15.83 (define @t607 () (tptp.sk4 tptp.sk9)) % 15.50/15.83 (define @t608 () (tptp.big_r tptp.sk9 @t607)) % 15.50/15.83 (define @t609 () (or @t327 @t608)) % 15.50/15.83 (define @t610 () (or @t25 @t24)) % 15.50/15.83 (define @t611 () (forall (@list @t23) @t610)) % 15.50/15.83 (define @t612 () (or @t26 @t22)) % 15.50/15.83 (define @t613 () (forall (@list @t21) @t612)) % 15.50/15.83 (define @t614 () (or @t2 @t612 @t610)) % 15.50/15.83 (define @t615 () (@list @t21)) % 15.50/15.83 (define @t616 () (or @t52 @t51)) % 15.50/15.83 (define @t617 () (forall (@list @t50) @t616)) % 15.50/15.83 (define @t618 () (or @t53 @t49)) % 15.50/15.83 (define @t619 () (forall (@list @t48) @t618)) % 15.50/15.83 (define @t620 () (or @t2 @t618 @t616)) % 15.50/15.83 (define @t621 () (or @t145 @t144)) % 15.50/15.83 (define @t622 () (forall (@list @t143) @t621)) % 15.50/15.83 (define @t623 () (or @t146 @t142)) % 15.50/15.83 (define @t624 () (forall (@list @t141) @t623)) % 15.50/15.83 (define @t625 () (or @t2 @t623 @t621)) % 15.50/15.83 (define @t626 () (tptp.big_r @t604 @t382)) % 15.50/15.83 (define @t627 () (or @t329 @t626)) % 15.50/15.83 (define @t628 () (tptp.big_r @t607 @t386)) % 15.50/15.83 (define @t629 () (or @t327 @t628)) % 15.50/15.83 (define @t630 () (or @t192 @t189 @t188)) % 15.50/15.83 (define @t631 () (forall (@list @t187 @t186) @t630)) % 15.50/15.83 (define @t632 () (or @t193 @t191)) % 15.50/15.83 (define @t633 () (forall (@list @t190) @t632)) % 15.50/15.83 (define @t634 () (or @t2 @t632 @t630)) % 15.50/15.83 (define @t635 () (or @t203 @t200 @t199)) % 15.50/15.83 (define @t636 () (forall (@list @t198 @t197) @t635)) % 15.50/15.83 (define @t637 () (or @t204 @t202)) % 15.50/15.83 (define @t638 () (forall (@list @t201) @t637)) % 15.50/15.83 (define @t639 () (or @t2 @t637 @t635)) % 15.50/15.83 (define @t640 () (or @t212 @t211 @t210)) % 15.50/15.83 (define @t641 () (forall (@list @t209 @t208) @t640)) % 15.50/15.83 (define @t642 () (or @t215 @t214)) % 15.50/15.83 (define @t643 () (forall (@list @t213) @t642)) % 15.50/15.83 (define @t644 () (or @t2 @t642 @t640)) % 15.50/15.83 (define @t645 () (not @t388)) % 15.50/15.83 (define @t646 () (not @t609)) % 15.50/15.83 (define @t647 () (not @t629)) % 15.50/15.83 (define @t648 () (not @t608)) % 15.50/15.83 (define @t649 () (not @t628)) % 15.50/15.83 (define @t650 () (not @t387)) % 15.50/15.83 (define @t651 () (or @t650 @t649 @t648)) % 15.50/15.83 (define @t652 () (not @t605)) % 15.50/15.83 (define @t653 () (not @t626)) % 15.50/15.83 (define @t654 () (not @t383)) % 15.50/15.83 (define @t655 () (or @t654 @t653 @t652)) % 15.50/15.83 (define @t656 () (not @t384)) % 15.50/15.83 (define @t657 () (not @t606)) % 15.50/15.83 (define @t658 () (not @t627)) % 15.50/15.83 (define @t659 () (not @t655)) % 15.50/15.83 (define @t660 () (@list false false true true true false false false true true false false false false false false false false false false false true false false false true false false false false true true)) % 15.50/15.83 (define @t661 () (@list false false false false true false true false false false false false true false false false false false false false false false false false false true true true true false false)) % 15.50/15.83 (define @t662 () (or @t96 @t93 @t92)) % 15.50/15.83 (define @t663 () (forall (@list @t91 @t90) @t662)) % 15.50/15.83 (define @t664 () (or @t97 @t95)) % 15.50/15.83 (define @t665 () (forall (@list @t94) @t664)) % 15.50/15.83 (define @t666 () (or @t2 @t664 @t662)) % 15.50/15.83 (define @t667 () (or @t107 @t104 @t103)) % 15.50/15.83 (define @t668 () (forall (@list @t102 @t101) @t667)) % 15.50/15.83 (define @t669 () (or @t108 @t106)) % 15.50/15.83 (define @t670 () (forall (@list @t105) @t669)) % 15.50/15.83 (define @t671 () (or @t2 @t669 @t667)) % 15.50/15.83 (define @t672 () (or @t116 @t115 @t114)) % 15.50/15.83 (define @t673 () (forall (@list @t113 @t112) @t672)) % 15.50/15.83 (define @t674 () (or @t119 @t118)) % 15.50/15.83 (define @t675 () (forall (@list @t117) @t674)) % 15.50/15.83 (define @t676 () (or @t2 @t674 @t672)) % 15.50/15.83 (define @t677 () (@list false false false false false true false true true)) % 15.50/15.83 (define @t678 () (or @t64 @t63)) % 15.50/15.83 (define @t679 () (forall (@list @t62) @t678)) % 15.50/15.83 (define @t680 () (or @t2 @t678 @t510)) % 15.50/15.83 (define @t681 () (or @t75 @t74)) % 15.50/15.83 (define @t682 () (forall (@list @t73) @t681)) % 15.50/15.83 (define @t683 () (or @t2 @t681 @t439)) % 15.50/15.83 (define @t684 () (or @t86 @t85)) % 15.50/15.83 (define @t685 () (forall (@list @t84) @t684)) % 15.50/15.83 (define @t686 () (or @t2 @t684 @t531)) % 15.50/15.83 (define @t687 () (@list @t3)) % 15.50/15.83 (define @t688 () (or @t35 @t33)) % 15.50/15.83 (define @t689 () (forall (@list @t32) @t688)) % 15.50/15.83 (define @t690 () (@list true)) % 15.50/15.83 (define @t691 () (@list @t380)) % 15.50/15.83 (define @t692 () (or @t2 @t688 @t414)) % 15.50/15.83 (define @t693 () (@list false true)) % 15.50/15.83 (define @t694 () (@list false)) % 15.50/15.83 (define @t695 () (@list @t415)) % 15.50/15.83 (define @t696 () (or @t2 @t379 @t395)) % 15.50/15.83 (define @t697 () (@list @t396)) % 15.50/15.83 (define @t698 () (or @t128 @t126)) % 15.50/15.83 (define @t699 () (forall (@list @t125) @t698)) % 15.50/15.83 (define @t700 () (or @t2 @t698 @t417)) % 15.50/15.83 (assume @p1 @t11) % 15.50/15.83 (assume @p2 @t20) % 15.50/15.83 (assume @p3 @t29) % 15.50/15.83 (assume @p4 @t38) % 15.50/15.83 (assume @p5 @t47) % 15.50/15.83 (assume @p6 @t56) % 15.50/15.83 (assume @p7 @t67) % 15.50/15.83 (assume @p8 @t78) % 15.50/15.83 (assume @p9 @t89) % 15.50/15.83 (assume @p10 @t100) % 15.50/15.83 (assume @p11 @t111) % 15.50/15.83 (assume @p12 @t122) % 15.50/15.83 (assume @p13 @t131) % 15.50/15.83 (assume @p14 @t140) % 15.50/15.83 (assume @p15 @t149) % 15.50/15.83 (assume @p16 (forall (@list @t154 @t151 @t150) (or (tptp.big_p @t154) @t155 (tptp.big_p (tptp.sk3 @t154)) @t153 @t2 @t152))) % 15.50/15.83 (assume @p17 (forall (@list @t161 @t157 @t156) (or (tptp.big_p @t161) (tptp.big_p (tptp.sk3 @t161)) @t160 @t159 @t2 @t158))) % 15.50/15.83 (assume @p18 (forall (@list @t164 @t163 @t162) (or (tptp.big_p @t164) (tptp.big_p (tptp.sk1 @t163)) (tptp.big_r @t164 (tptp.sk4 @t164)) (not (tptp.big_p @t162)) @t2 (not (tptp.big_r @t163 @t162))))) % 15.50/15.83 (assume @p19 (forall (@list @t167 @t166 @t165) (or (tptp.big_p @t167) (tptp.big_r @t167 (tptp.sk4 @t167)) (tptp.big_r @t166 (tptp.sk2 @t166)) (not (tptp.big_p @t165)) @t2 (not (tptp.big_r @t166 @t165))))) % 15.50/15.83 (assume @p20 (forall (@list @t173 @t169 @t168) (or (tptp.big_p @t173) (tptp.big_p (tptp.sk3 @t173)) @t172 @t171 @t2 @t170))) % 15.50/15.83 (assume @p21 (forall (@list @t176 @t175 @t174) (or (tptp.big_p @t176) (tptp.big_r @t176 (tptp.sk4 @t176)) (tptp.big_r (tptp.sk2 @t175) (tptp.sk1 @t175)) (not (tptp.big_p @t174)) @t2 (not (tptp.big_r @t175 @t174))))) % 15.50/15.83 (assume @p22 (forall (@list @t179 @t178 @t177) (or (tptp.big_p @t179) (tptp.big_p (tptp.sk1 @t178)) (tptp.big_r (tptp.sk4 @t179) (tptp.sk3 @t179)) (not (tptp.big_p @t177)) @t2 (not (tptp.big_r @t178 @t177))))) % 15.50/15.83 (assume @p23 (forall (@list @t182 @t181 @t180) (or (tptp.big_p @t182) (tptp.big_r @t181 (tptp.sk2 @t181)) (tptp.big_r (tptp.sk4 @t182) (tptp.sk3 @t182)) (not (tptp.big_p @t180)) @t2 (not (tptp.big_r @t181 @t180))))) % 15.50/15.83 (assume @p24 (forall (@list @t185 @t184 @t183) (or (tptp.big_p @t185) (tptp.big_r (tptp.sk2 @t184) (tptp.sk1 @t184)) (tptp.big_r (tptp.sk4 @t185) (tptp.sk3 @t185)) (not (tptp.big_p @t183)) @t2 (not (tptp.big_r @t184 @t183))))) % 15.50/15.83 (assume @p25 @t196) % 15.50/15.83 (assume @p26 @t207) % 15.50/15.83 (assume @p27 @t218) % 15.50/15.83 (assume @p28 @t230) % 15.50/15.83 (assume @p29 @t242) % 15.50/15.83 (assume @p30 @t254) % 15.50/15.83 (assume @p31 @t266) % 15.50/15.83 (assume @p32 @t278) % 15.50/15.83 (assume @p33 @t290) % 15.50/15.83 (assume @p34 @t302) % 15.50/15.83 (assume @p35 @t314) % 15.50/15.83 (assume @p36 @t326) % 15.50/15.83 (assume @p37 @t1) % 15.50/15.83 (assume @p38 (or @t332 @t331 @t330 @t328)) % 15.50/15.83 (assume @p39 (or @t331 @t333 @t330 @t328)) % 15.50/15.83 (assume @p40 (or @t332 @t334 @t330 @t328)) % 15.50/15.83 (assume @p41 (or @t334 @t333 @t330 @t328)) % 15.50/15.83 (assume @p42 @t342) % 15.50/15.83 (assume @p43 @t350) % 15.50/15.83 (assume @p44 @t358) % 15.50/15.83 (assume @p45 @t366) % 15.50/15.83 (assume @p46 @t378) % 15.50/15.83 (assume-push @p635 @t380) % 15.50/15.83 (step @p48 :rule instantiate :premises (@p635) :args (@t381)) % 15.50/15.83 (step-pop @p636 :rule scope :premises (@p48)) % 15.50/15.83 (step @p49 :rule process_scope :premises (@p636) :args (@t384)) % 15.50/15.83 (step @p51 :rule implies_elim :premises (@p49)) % 15.50/15.83 (assume-push @p637 @t380) % 15.50/15.83 (step @p53 :rule instantiate :premises (@p637) :args (@t385)) % 15.50/15.83 (step-pop @p638 :rule scope :premises (@p53)) % 15.50/15.83 (step @p54 :rule process_scope :premises (@p638) :args (@t388)) % 15.50/15.83 (step @p56 :rule implies_elim :premises (@p54)) % 15.50/15.83 (step @p57 :rule quant-miniscope-or :args ((= (forall @t19 @t393) (or @t2 @t392 @t390)))) % 15.50/15.83 (step @p58 :rule aci_norm :args ((= @t18 @t393))) % 15.50/15.83 (step @p59 :rule cong :premises (@p58) :args (@t20)) % 15.50/15.83 (step @p60 :rule trans :premises (@p59 @p57)) % 15.50/15.83 (step @p61 :rule eq_resolve :premises (@p2 @p60)) % 15.50/15.83 (step @p62 :rule alpha_equiv :args (@t392 @t394 (@list @t41))) % 15.50/15.83 (step @p63 :rule equiv_elim2 :premises (@p62)) % 15.50/15.83 (step @p64 :rule alpha_equiv :args (@t392 @t394 (@list @t134))) % 15.50/15.83 (step @p65 :rule equiv_elim2 :premises (@p64)) % 15.50/15.83 (step @p66 :rule alpha_equiv :args (@t396 @t397 (@list @t14))) % 15.50/15.83 (step @p67 :rule equiv_elim2 :premises (@p66)) % 15.50/15.83 (step @p68 :rule quant-miniscope-or :args ((= (forall @t46 @t402) (or @t2 @t401 @t399)))) % 15.50/15.83 (step @p69 :rule aci_norm :args ((= @t45 @t402))) % 15.50/15.83 (step @p70 :rule cong :premises (@p69) :args (@t47)) % 15.50/15.83 (step @p71 :rule trans :premises (@p70 @p68)) % 15.50/15.83 (step @p72 :rule eq_resolve :premises (@p5 @p71)) % 15.50/15.83 (step @p73 :rule quant-miniscope-or :args ((= (forall @t139 @t407) (or @t2 @t406 @t404)))) % 15.50/15.83 (step @p74 :rule aci_norm :args ((= @t138 @t407))) % 15.50/15.83 (step @p75 :rule cong :premises (@p74) :args (@t140)) % 15.50/15.83 (step @p76 :rule trans :premises (@p75 @p73)) % 15.50/15.83 (step @p77 :rule eq_resolve :premises (@p14 @p76)) % 15.50/15.83 (assume-push @p639 @t396) % 15.50/15.83 (step @p79 :rule instantiate :premises (@p639) :args (@t381)) % 15.50/15.83 (step-pop @p640 :rule scope :premises (@p79)) % 15.50/15.83 (step @p80 :rule process_scope :premises (@p640) :args (@t410)) % 15.50/15.83 (step @p82 :rule implies_elim :premises (@p80)) % 15.50/15.83 (assume-push @p641 @t396) % 15.50/15.83 (step @p84 :rule instantiate :premises (@p641) :args (@t385)) % 15.50/15.83 (step-pop @p642 :rule scope :premises (@p84)) % 15.50/15.83 (step @p85 :rule process_scope :premises (@p642) :args (@t413)) % 15.50/15.83 (step @p87 :rule implies_elim :premises (@p85)) % 15.50/15.83 (step @p88 :rule alpha_equiv :args (@t415 @t416 (@list @t39))) % 15.50/15.83 (step @p89 :rule equiv_elim2 :premises (@p88)) % 15.50/15.83 (step @p90 :rule alpha_equiv :args (@t418 @t419 (@list @t132))) % 15.50/15.83 (step @p91 :rule equiv_elim2 :premises (@p90)) % 15.50/15.83 (assume-push @p643 @t415) % 15.50/15.83 (step @p93 :rule instantiate :premises (@p643) :args (@t381)) % 15.50/15.83 (step-pop @p644 :rule scope :premises (@p93)) % 15.50/15.83 (step @p94 :rule process_scope :premises (@p644) :args (@t422)) % 15.50/15.83 (step @p96 :rule implies_elim :premises (@p94)) % 15.50/15.83 (assume-push @p645 @t415) % 15.50/15.83 (step @p98 :rule instantiate :premises (@p645) :args (@t385)) % 15.50/15.83 (step-pop @p646 :rule scope :premises (@p98)) % 15.50/15.83 (step @p99 :rule process_scope :premises (@p646) :args (@t425)) % 15.50/15.83 (step @p101 :rule implies_elim :premises (@p99)) % 15.50/15.83 (assume-push @p647 @t418) % 15.50/15.83 (step @p103 :rule instantiate :premises (@p647) :args (@t381)) % 15.50/15.83 (step-pop @p648 :rule scope :premises (@p103)) % 15.50/15.83 (step @p104 :rule process_scope :premises (@p648) :args (@t427)) % 15.50/15.83 (step @p106 :rule implies_elim :premises (@p104)) % 15.50/15.83 (assume-push @p649 @t418) % 15.50/15.83 (step @p108 :rule instantiate :premises (@p649) :args (@t385)) % 15.50/15.83 (step-pop @p650 :rule scope :premises (@p108)) % 15.50/15.83 (step @p109 :rule process_scope :premises (@p650) :args (@t429)) % 15.50/15.83 (step @p111 :rule implies_elim :premises (@p109)) % 15.50/15.83 (assume-push @p651 @t430) % 15.50/15.83 (step @p113 :rule instantiate :premises (@p651) :args (@t431)) % 15.50/15.83 (step-pop @p652 :rule scope :premises (@p113)) % 15.50/15.83 (step @p114 :rule process_scope :premises (@p652) :args (@t434)) % 15.50/15.83 (step @p116 :rule implies_elim :premises (@p114)) % 15.50/15.83 (assume-push @p653 @t430) % 15.50/15.83 (step @p118 :rule instantiate :premises (@p653) :args (@t435)) % 15.50/15.83 (step-pop @p654 :rule scope :premises (@p118)) % 15.50/15.83 (step @p119 :rule process_scope :premises (@p654) :args (@t438)) % 15.50/15.83 (step @p121 :rule implies_elim :premises (@p119)) % 15.50/15.83 (step @p122 :rule alpha_equiv :args (@t440 @t441 (@list @t259 @t258))) % 15.50/15.83 (step @p123 :rule equiv_elim2 :premises (@p122)) % 15.50/15.83 (step @p124 :rule alpha_equiv :args (@t440 @t441 (@list @t283 @t282))) % 15.50/15.83 (step @p125 :rule equiv_elim2 :premises (@p124)) % 15.50/15.83 (step @p126 :rule quant-miniscope-or :args ((= (forall @t447 @t446) (or @t2 @t445 @t443)))) % 15.50/15.83 (step @p127 :rule aci_norm :args ((= @t265 @t446))) % 15.50/15.83 (step @p128 :rule cong :premises (@p127) :args (@t448)) % 15.50/15.83 (step @p129 :rule quant_var_reordering :args ((= @t266 @t448))) % 15.50/15.83 (step @p130 :rule trans :premises (@p129 @p128 @p126)) % 15.50/15.83 (step @p131 :rule eq_resolve :premises (@p31 @p130)) % 15.50/15.83 (step @p132 :rule quant-miniscope-or :args ((= (forall @t454 @t453) (or @t2 @t452 @t450)))) % 15.50/15.83 (step @p133 :rule aci_norm :args ((= @t289 @t453))) % 15.50/15.83 (step @p134 :rule cong :premises (@p133) :args (@t455)) % 15.50/15.83 (step @p135 :rule quant_var_reordering :args ((= @t290 @t455))) % 15.50/15.83 (step @p136 :rule trans :premises (@p135 @p134 @p132)) % 15.50/15.83 (step @p137 :rule eq_resolve :premises (@p33 @p136)) % 15.50/15.83 (step @p138 :rule alpha_equiv :args (@t456 @t457 (@list @t256 @t255))) % 15.50/15.83 (step @p139 :rule equiv_elim2 :premises (@p138)) % 15.50/15.83 (step @p140 :rule alpha_equiv :args (@t458 @t459 (@list @t280 @t279))) % 15.50/15.83 (step @p141 :rule equiv_elim2 :premises (@p140)) % 15.50/15.83 (assume-push @p655 @t456) % 15.50/15.83 (step @p143 :rule instantiate :premises (@p655) :args (@t431)) % 15.50/15.83 (step-pop @p656 :rule scope :premises (@p143)) % 15.50/15.83 (step @p144 :rule process_scope :premises (@p656) :args (@t460)) % 15.50/15.83 (step @p146 :rule implies_elim :premises (@p144)) % 15.50/15.83 (assume-push @p657 @t456) % 15.50/15.83 (step @p148 :rule instantiate :premises (@p657) :args (@t435)) % 15.50/15.83 (step-pop @p658 :rule scope :premises (@p148)) % 15.50/15.83 (step @p149 :rule process_scope :premises (@p658) :args (@t461)) % 15.50/15.83 (step @p151 :rule implies_elim :premises (@p149)) % 15.50/15.83 (assume-push @p659 @t458) % 15.50/15.83 (step @p153 :rule instantiate :premises (@p659) :args (@t431)) % 15.50/15.83 (step-pop @p660 :rule scope :premises (@p153)) % 15.50/15.83 (step @p154 :rule process_scope :premises (@p660) :args (@t462)) % 15.50/15.83 (step @p156 :rule implies_elim :premises (@p154)) % 15.50/15.83 (assume-push @p661 @t458) % 15.50/15.83 (step @p158 :rule instantiate :premises (@p661) :args (@t435)) % 15.50/15.83 (step-pop @p662 :rule scope :premises (@p158)) % 15.50/15.83 (step @p159 :rule process_scope :premises (@p662) :args (@t463)) % 15.50/15.83 (step @p161 :rule implies_elim :premises (@p159)) % 15.50/15.83 (step @p162 :rule alpha_equiv :args (@t465 @t466 (@list @t359 @t361))) % 15.50/15.83 (step @p163 :rule equiv_elim2 :premises (@p162)) % 15.50/15.83 (step @p164 :rule alpha_equiv :args (@t465 @t466 (@list @t369 @t371))) % 15.50/15.83 (step @p165 :rule equiv_elim2 :premises (@p164)) % 15.50/15.83 (step @p166 :rule quant-miniscope-or :args ((= (forall @t472 @t471) (or @t470 @t468)))) % 15.50/15.83 (step @p167 :rule aci_norm :args ((= @t377 @t471))) % 15.50/15.83 (step @p168 :rule cong :premises (@p167) :args (@t473)) % 15.50/15.83 (step @p169 :rule quant_var_reordering :args ((= @t378 @t473))) % 15.50/15.83 (step @p170 :rule trans :premises (@p169 @p168 @p166)) % 15.50/15.83 (step @p171 :rule eq_resolve :premises (@p46 @p170)) % 15.50/15.83 (step @p172 :rule alpha_equiv :args (@t475 @t476 (@list @t367 @t373))) % 15.50/15.83 (step @p173 :rule equiv_elim2 :premises (@p172)) % 15.50/15.83 (assume-push @p663 @t475) % 15.50/15.83 (step @p175 :rule instantiate :premises (@p663) :args ((@list @t411 @t423))) % 15.50/15.83 (step-pop @p664 :rule scope :premises (@p175)) % 15.50/15.83 (step @p176 :rule process_scope :premises (@p664) :args (@t480)) % 15.50/15.83 (step @p178 :rule implies_elim :premises (@p176)) % 15.50/15.83 (step @p179 :rule cnf_or_pos :args (@t463)) % 15.50/15.83 (step @p180 :rule reordering :premises (@p179) :args ((or @t437 @t436 @t428 @t481))) % 15.50/15.83 (step @p181 :rule cnf_or_pos :args (@t461)) % 15.50/15.83 (step @p182 :rule reordering :premises (@p181) :args ((or @t437 @t436 @t424 @t482))) % 15.50/15.83 (step @p183 :rule cnf_or_pos :args (@t438)) % 15.50/15.83 (step @p184 :rule reordering :premises (@p183) :args ((or @t437 @t436 @t412 @t483))) % 15.50/15.83 (step @p185 :rule cnf_or_pos :args (@t480)) % 15.50/15.83 (step @p186 :rule reordering :premises (@p185) :args ((or @t479 @t477 @t478 @t484))) % 15.50/15.83 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p182 @p180) :args ((or @t437 @t436 @t484 @t481 @t482 @t483) @t485 (@list @t412 @t424 @t428))) % 15.50/15.83 (step @p188 :rule quant-miniscope-or :args ((= (forall @t365 @t488) (or @t333 @t328 @t487)))) % 15.50/15.83 (step @p189 :rule aci_norm :args ((= @t364 @t488))) % 15.50/15.83 (step @p190 :rule cong :premises (@p189) :args (@t366)) % 15.50/15.83 (step @p191 :rule trans :premises (@p190 @p188)) % 15.50/15.83 (step @p192 :rule eq_resolve :premises (@p45 @p191)) % 15.50/15.83 (step @p193 :rule reordering :premises (@p192) :args ((or @t328 @t333 @t487))) % 15.50/15.83 (step @p194 :rule cnf_or_pos :args (@t413)) % 15.50/15.83 (step @p195 :rule reordering :premises (@p194) :args ((or @t327 @t412 @t489))) % 15.50/15.83 (step @p196 :rule cnf_or_pos :args (@t425)) % 15.50/15.83 (step @p197 :rule reordering :premises (@p196) :args ((or @t327 @t424 @t490))) % 15.50/15.83 (step @p198 :rule cnf_or_pos :args (@t429)) % 15.50/15.83 (step @p199 :rule reordering :premises (@p198) :args ((or @t327 @t428 @t491))) % 15.50/15.83 (step @p200 :rule chain_m_resolution :premises (@p186 @p199 @p197 @p195 @p193 @p187 @p178 @p173 @p171 @p165 @p163) :args ((or @t465 @t437 @t489 @t490 @t491 @t481 @t482 @t483) (@list false false false true true false false false true true) (@list @t428 @t424 @t412 @t327 @t333 @t480 @t475 @t470 @t468 @t487))) % 15.50/15.83 (assume-push @p665 @t465) % 15.50/15.83 (step @p202 :rule instantiate :premises (@p665) :args ((@list @t408 @t420))) % 15.50/15.83 (step-pop @p666 :rule scope :premises (@p202)) % 15.50/15.83 (step @p203 :rule process_scope :premises (@p666) :args (@t495)) % 15.50/15.83 (step @p205 :rule implies_elim :premises (@p203)) % 15.50/15.83 (step @p206 :rule cnf_or_pos :args (@t410)) % 15.50/15.83 (step @p207 :rule reordering :premises (@p206) :args ((or @t329 @t409 @t496))) % 15.50/15.83 (step @p208 :rule cnf_or_pos :args (@t422)) % 15.50/15.83 (step @p209 :rule reordering :premises (@p208) :args ((or @t329 @t421 @t497))) % 15.50/15.83 (step @p210 :rule cnf_or_pos :args (@t427)) % 15.50/15.83 (step @p211 :rule reordering :premises (@p210) :args ((or @t329 @t426 @t498))) % 15.50/15.83 (step @p212 :rule cnf_or_pos :args (@t495)) % 15.50/15.83 (step @p213 :rule reordering :premises (@p212) :args ((or @t494 @t492 @t493 @t499))) % 15.50/15.83 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p209 @p207) :args ((or @t329 @t496 @t497 @t498 @t499) @t485 (@list @t426 @t421 @t409))) % 15.50/15.83 (step @p215 :rule quant-miniscope-or :args ((= (forall @t349 @t502) (or @t334 @t330 @t501)))) % 15.50/15.83 (step @p216 :rule aci_norm :args ((= @t348 @t502))) % 15.50/15.83 (step @p217 :rule cong :premises (@p216) :args (@t350)) % 15.50/15.83 (step @p218 :rule trans :premises (@p217 @p215)) % 15.50/15.83 (step @p219 :rule eq_resolve :premises (@p43 @p218)) % 15.50/15.83 (step @p220 :rule reordering :premises (@p219) :args ((or @t330 @t334 @t501))) % 15.50/15.83 (step @p221 :rule alpha_equiv :args (@t475 @t476 (@list @t343 @t345))) % 15.50/15.83 (step @p222 :rule equiv_elim2 :premises (@p221)) % 15.50/15.83 (step @p223 :rule reordering :premises (@p41) :args ((or @t330 @t328 @t333 @t334))) % 15.50/15.83 (step @p224 :rule chain_m_resolution :premises (@p186 @p199 @p197 @p195 @p223 @p187 @p178 @p222 @p220) :args ((or @t330 @t334 @t437 @t489 @t490 @t491 @t481 @t482 @t483) (@list false false false true true false false false) (@list @t428 @t424 @t412 @t327 @t333 @t480 @t475 @t501))) % 15.50/15.83 (step @p225 :rule cnf_or_pos :args (@t462)) % 15.50/15.83 (step @p226 :rule reordering :premises (@p225) :args ((or @t433 @t432 @t426 @t503))) % 15.50/15.83 (step @p227 :rule cnf_or_pos :args (@t460)) % 15.50/15.83 (step @p228 :rule reordering :premises (@p227) :args ((or @t433 @t432 @t421 @t504))) % 15.50/15.83 (step @p229 :rule cnf_or_pos :args (@t434)) % 15.50/15.83 (step @p230 :rule reordering :premises (@p229) :args ((or @t433 @t432 @t409 @t505))) % 15.50/15.83 (step @p231 :rule chain_m_resolution :premises (@p213 @p230 @p228 @p226) :args ((or @t433 @t432 @t499 @t503 @t504 @t505) @t485 (@list @t409 @t421 @t426))) % 15.50/15.83 (step @p232 :rule quant-miniscope-or :args ((= (forall @t341 @t506) (or @t331 @t330 @t475)))) % 15.50/15.83 (step @p233 :rule aci_norm :args ((= @t340 @t506))) % 15.50/15.83 (step @p234 :rule cong :premises (@p233) :args (@t342)) % 15.50/15.83 (step @p235 :rule trans :premises (@p234 @p232)) % 15.50/15.83 (step @p236 :rule eq_resolve :premises (@p42 @p235)) % 15.50/15.83 (step @p237 :rule reordering :premises (@p39) :args ((or @t331 @t330 @t328 @t333))) % 15.50/15.83 (step @p238 :rule chain_m_resolution :premises (@p186 @p199 @p197 @p195 @p237 @p187 @p178 @p236 @p231 @p224 @p214 @p205 @p200) :args ((or @t437 @t496 @t497 @t498 @t489 @t490 @t491 @t503 @t504 @t505 @t481 @t482 @t483) (@list false false false true true false false true false false false false) (@list @t428 @t424 @t412 @t327 @t333 @t480 @t475 @t331 @t334 @t329 @t495 @t465))) % 15.50/15.83 (step @p239 :rule quant-miniscope-or :args ((= (forall @t357 @t507) (or @t332 @t328 @t465)))) % 15.50/15.83 (step @p240 :rule aci_norm :args ((= @t356 @t507))) % 15.50/15.83 (step @p241 :rule cong :premises (@p240) :args (@t358)) % 15.50/15.83 (step @p242 :rule trans :premises (@p241 @p239)) % 15.50/15.83 (step @p243 :rule eq_resolve :premises (@p44 @p242)) % 15.50/15.83 (step @p244 :rule chain_m_resolution :premises (@p178 @p186 @p173 @p199 @p197 @p195 @p171 @p243 @p165) :args ((or @t332 @t465 @t489 @t490 @t491) @t508 (@list @t480 @t475 @t428 @t424 @t412 @t470 @t327 @t468))) % 15.50/15.83 (step @p245 :rule reordering :premises (@p40) :args ((or @t332 @t330 @t328 @t334))) % 15.50/15.83 (step @p246 :rule chain_m_resolution :premises (@p186 @p178 @p199 @p197 @p195 @p222 @p245 @p220) :args ((or @t332 @t330 @t334 @t489 @t490 @t491) @t509 (@list @t480 @t428 @t424 @t412 @t475 @t327 @t501))) % 15.50/15.83 (step @p247 :rule chain_m_resolution :premises (@p186 @p178 @p199 @p197 @p195 @p236 @p38 @p231 @p246 @p214 @p205 @p244 @p238 @p161 @p156) :args ((or (not @t458) @t496 @t497 @t498 @t489 @t490 @t491 @t504 @t505 @t482 @t483) (@list false false false false false true true false false false false true false false) (@list @t480 @t428 @t424 @t412 @t475 @t327 @t331 @t334 @t329 @t495 @t465 @t332 @t463 @t462))) % 15.50/15.83 (step @p248 :rule chain_m_resolution :premises (@p247 @p151 @p146 @p141 @p139 @p137 @p37 @p131 @p37 @p125 @p123) :args ((or @t440 @t496 @t497 @t498 @t489 @t490 @t491 @t505 @t483) (@list false false false false false false false false true true) (@list @t461 @t460 @t458 @t456 @t450 @t1 @t443 @t1 @t452 @t445))) % 15.50/15.83 (assume-push @p667 @t511) % 15.50/15.83 (step @p250 :rule instantiate :premises (@p667) :args (@t435)) % 15.50/15.83 (step-pop @p668 :rule scope :premises (@p250)) % 15.50/15.83 (step @p251 :rule process_scope :premises (@p668) :args (@t514)) % 15.50/15.83 (step @p253 :rule implies_elim :premises (@p251)) % 15.50/15.83 (assume-push @p669 @t511) % 15.50/15.83 (step @p255 :rule instantiate :premises (@p669) :args (@t431)) % 15.50/15.83 (step-pop @p670 :rule scope :premises (@p255)) % 15.50/15.83 (step @p256 :rule process_scope :premises (@p670) :args (@t517)) % 15.50/15.83 (step @p258 :rule implies_elim :premises (@p256)) % 15.50/15.83 (assume-push @p671 @t440) % 15.50/15.83 (step @p260 :rule instantiate :premises (@p671) :args (@t435)) % 15.50/15.83 (step-pop @p672 :rule scope :premises (@p260)) % 15.50/15.83 (step @p261 :rule process_scope :premises (@p672) :args (@t520)) % 15.50/15.83 (step @p263 :rule implies_elim :premises (@p261)) % 15.50/15.83 (assume-push @p673 @t440) % 15.50/15.83 (step @p265 :rule instantiate :premises (@p673) :args (@t431)) % 15.50/15.83 (step-pop @p674 :rule scope :premises (@p265)) % 15.50/15.83 (step @p266 :rule process_scope :premises (@p674) :args (@t523)) % 15.50/15.83 (step @p268 :rule implies_elim :premises (@p266)) % 15.50/15.83 (step @p269 :rule alpha_equiv :args (@t458 @t459 (@list @t316 @t315))) % 15.50/15.83 (step @p270 :rule equiv_elim2 :premises (@p269)) % 15.50/15.83 (step @p271 :rule quant-miniscope-or :args ((= (forall @t529 @t528) (or @t2 @t527 @t525)))) % 15.50/15.83 (step @p272 :rule aci_norm :args ((= @t325 @t528))) % 15.50/15.83 (step @p273 :rule cong :premises (@p272) :args (@t530)) % 15.50/15.83 (step @p274 :rule quant_var_reordering :args ((= @t326 @t530))) % 15.50/15.83 (step @p275 :rule trans :premises (@p274 @p273 @p271)) % 15.50/15.83 (step @p276 :rule eq_resolve :premises (@p36 @p275)) % 15.50/15.83 (step @p277 :rule alpha_equiv :args (@t532 @t533 (@list @t319 @t318))) % 15.50/15.83 (step @p278 :rule equiv_elim2 :premises (@p277)) % 15.50/15.83 (assume-push @p675 @t532) % 15.50/15.83 (step @p280 :rule instantiate :premises (@p675) :args (@t431)) % 15.50/15.83 (step-pop @p676 :rule scope :premises (@p280)) % 15.50/15.83 (step @p281 :rule process_scope :premises (@p676) :args (@t535)) % 15.50/15.83 (step @p283 :rule implies_elim :premises (@p281)) % 15.50/15.83 (assume-push @p677 @t532) % 15.50/15.83 (step @p285 :rule instantiate :premises (@p677) :args (@t435)) % 15.50/15.83 (step-pop @p678 :rule scope :premises (@p285)) % 15.50/15.83 (step @p286 :rule process_scope :premises (@p678) :args (@t537)) % 15.50/15.83 (step @p288 :rule implies_elim :premises (@p286)) % 15.50/15.83 (step @p289 :rule bool-double-not-elim :args (@t333)) % 15.50/15.83 (step @p290 :rule refl :args (@t463)) % 15.50/15.83 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t463 @t538))) % 15.50/15.83 (step @p292 :rule cnf_or_neg :args (@t463 2)) % 15.50/15.83 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 15.50/15.83 (step @p294 :rule reordering :premises (@p293) :args ((or @t333 @t463))) % 15.50/15.83 (step @p295 :rule cnf_or_pos :args (@t537)) % 15.50/15.83 (step @p296 :rule reordering :premises (@p295) :args ((or @t437 @t436 @t536 @t539))) % 15.50/15.83 (step @p297 :rule cnf_or_pos :args (@t520)) % 15.50/15.83 (step @p298 :rule reordering :premises (@p297) :args ((or @t437 @t436 @t519 @t540))) % 15.50/15.83 (step @p299 :rule cnf_or_pos :args (@t514)) % 15.50/15.83 (step @p300 :rule reordering :premises (@p299) :args ((or @t437 @t436 @t513 @t541))) % 15.50/15.83 (assume-push @p679 @t475) % 15.50/15.83 (step @p302 :rule instantiate :premises (@p679) :args ((@list @t512 @t518))) % 15.50/15.83 (step-pop @p680 :rule scope :premises (@p302)) % 15.50/15.83 (step @p303 :rule process_scope :premises (@p680) :args (@t545)) % 15.50/15.83 (step @p305 :rule implies_elim :premises (@p303)) % 15.50/15.83 (step @p306 :rule cnf_or_pos :args (@t545)) % 15.50/15.83 (step @p307 :rule reordering :premises (@p306) :args ((or @t544 @t542 @t543 (not @t545)))) % 15.50/15.83 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p300 @p298 @p296 @p173 @p294 @p171 @p200 @p165) :args ((or @t465 @t437 @t489 @t490 @t491 @t482 @t483 @t539 @t540 @t541) @t546 (@list @t545 @t513 @t519 @t536 @t475 @t333 @t470 @t463 @t468))) % 15.50/15.83 (assume-push @p681 @t465) % 15.50/15.83 (step @p310 :rule instantiate :premises (@p681) :args ((@list @t515 @t521))) % 15.50/15.83 (step-pop @p682 :rule scope :premises (@p310)) % 15.50/15.83 (step @p311 :rule process_scope :premises (@p682) :args (@t550)) % 15.50/15.83 (step @p313 :rule implies_elim :premises (@p311)) % 15.50/15.83 (step @p314 :rule chain_m_resolution :premises (@p307 @p300 @p298 @p296 @p305 @p294 @p222 @p224 @p220) :args ((or @t330 @t334 @t437 @t489 @t490 @t491 @t482 @t483 @t539 @t540 @t541) @t551 (@list @t513 @t519 @t536 @t545 @t333 @t475 @t463 @t501))) % 15.50/15.83 (step @p315 :rule cnf_or_pos :args (@t535)) % 15.50/15.83 (step @p316 :rule reordering :premises (@p315) :args ((or @t433 @t432 @t534 @t552))) % 15.50/15.83 (step @p317 :rule cnf_or_pos :args (@t523)) % 15.50/15.83 (step @p318 :rule reordering :premises (@p317) :args ((or @t433 @t432 @t522 @t553))) % 15.50/15.83 (step @p319 :rule cnf_or_pos :args (@t517)) % 15.50/15.83 (step @p320 :rule reordering :premises (@p319) :args ((or @t433 @t432 @t516 @t554))) % 15.50/15.83 (step @p321 :rule cnf_or_pos :args (@t550)) % 15.50/15.83 (step @p322 :rule reordering :premises (@p321) :args ((or @t549 @t547 @t548 @t555))) % 15.50/15.83 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p318 @p316) :args ((or @t433 @t432 @t555 @t552 @t553 @t554) @t485 (@list @t516 @t522 @t534))) % 15.50/15.83 (step @p324 :rule bool-double-not-elim :args (@t331)) % 15.50/15.83 (step @p325 :rule refl :args (@t462)) % 15.50/15.83 (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or @t462 @t556))) % 15.50/15.83 (step @p327 :rule cnf_or_neg :args (@t462 1)) % 15.50/15.83 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 15.50/15.83 (step @p329 :rule reordering :premises (@p328) :args ((or @t331 @t462))) % 15.50/15.83 (step @p330 :rule chain_m_resolution :premises (@p307 @p300 @p298 @p296 @p294 @p238 @p305 @p329 @p236 @p323 @p314 @p214 @p313 @p205 @p308 @p283 @p288 @p278 @p276 @p37 @p270 @p247) :args ((or @t437 @t496 @t497 @t498 @t489 @t490 @t491 @t504 @t505 @t482 @t483 @t540 @t553 @t541 @t554) @t557 (@list @t513 @t519 @t536 @t333 @t463 @t545 @t462 @t475 @t331 @t334 @t329 @t550 @t495 @t465 @t535 @t537 @t532 @t525 @t1 @t527 @t458))) % 15.50/15.83 (step @p331 :rule chain_m_resolution :premises (@p186 @p199 @p197 @p195 @p178 @p38 @p236 @p323 @p246 @p214 @p313 @p205 @p244 @p330 @p283 @p278 @p276 @p37 @p270 @p247 @p151 @p146) :args ((or (not @t456) @t496 @t497 @t498 @t489 @t490 @t491 @t505 @t483 @t540 @t553 @t541 @t554) @t558 (@list @t428 @t424 @t412 @t480 @t327 @t475 @t331 @t334 @t329 @t550 @t495 @t465 @t332 @t535 @t532 @t525 @t1 @t527 @t458 @t461 @t460))) % 15.50/15.83 (step @p332 :rule alpha_equiv :args (@t456 @t457 (@list @t304 @t303))) % 15.50/15.83 (step @p333 :rule equiv_elim2 :premises (@p332)) % 15.50/15.83 (step @p334 :rule quant-miniscope-or :args ((= (forall @t564 @t563) (or @t2 @t562 @t560)))) % 15.50/15.83 (step @p335 :rule aci_norm :args ((= @t313 @t563))) % 15.50/15.83 (step @p336 :rule cong :premises (@p335) :args (@t565)) % 15.50/15.83 (step @p337 :rule quant_var_reordering :args ((= @t314 @t565))) % 15.50/15.83 (step @p338 :rule trans :premises (@p337 @p336 @p334)) % 15.50/15.83 (step @p339 :rule eq_resolve :premises (@p35 @p338)) % 15.50/15.83 (step @p340 :rule alpha_equiv :args (@t532 @t533 (@list @t307 @t306))) % 15.50/15.83 (step @p341 :rule equiv_elim2 :premises (@p340)) % 15.50/15.83 (step @p342 :rule refl :args (@t461)) % 15.50/15.83 (step @p343 :rule nary_cong :premises (@p342 @p289) :args ((or @t461 @t538))) % 15.50/15.83 (step @p344 :rule cnf_or_neg :args (@t461 2)) % 15.50/15.83 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 15.50/15.83 (step @p346 :rule reordering :premises (@p345) :args ((or @t333 @t461))) % 15.50/15.83 (step @p347 :rule chain_m_resolution :premises (@p307 @p305 @p300 @p298 @p296 @p173 @p346 @p171 @p308 @p165) :args ((or @t465 @t437 @t489 @t490 @t491 @t483 @t539 @t540 @t541) @t546 (@list @t545 @t513 @t519 @t536 @t475 @t333 @t470 @t461 @t468))) % 15.50/15.83 (step @p348 :rule chain_m_resolution :premises (@p307 @p300 @p298 @p296 @p305 @p346 @p222 @p314 @p220) :args ((or @t330 @t334 @t437 @t489 @t490 @t491 @t483 @t539 @t540 @t541) @t551 (@list @t513 @t519 @t536 @t545 @t333 @t475 @t461 @t501))) % 15.50/15.83 (step @p349 :rule refl :args (@t460)) % 15.50/15.83 (step @p350 :rule nary_cong :premises (@p349 @p324) :args ((or @t460 @t556))) % 15.50/15.83 (step @p351 :rule cnf_or_neg :args (@t460 1)) % 15.50/15.83 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 15.50/15.83 (step @p353 :rule reordering :premises (@p352) :args ((or @t331 @t460))) % 15.50/15.83 (step @p354 :rule chain_m_resolution :premises (@p307 @p300 @p298 @p296 @p346 @p330 @p305 @p353 @p236 @p323 @p348 @p214 @p313 @p205 @p347 @p283 @p288 @p341 @p339 @p37 @p333 @p331) :args ((or @t437 @t496 @t497 @t498 @t489 @t490 @t491 @t505 @t483 @t540 @t553 @t541 @t554) @t557 (@list @t513 @t519 @t536 @t333 @t461 @t545 @t460 @t475 @t331 @t334 @t329 @t550 @t495 @t465 @t535 @t537 @t532 @t560 @t1 @t562 @t456))) % 15.50/15.83 (step @p355 :rule chain_m_resolution :premises (@p186 @p199 @p197 @p195 @p178 @p38 @p236 @p323 @p246 @p214 @p313 @p205 @p244 @p354 @p283 @p341 @p339 @p37 @p333 @p331 @p268 @p263) :args ((or (not @t440) @t496 @t497 @t498 @t489 @t490 @t491 @t505 @t483 @t541 @t554) @t558 (@list @t428 @t424 @t412 @t480 @t327 @t475 @t331 @t334 @t329 @t550 @t495 @t465 @t332 @t535 @t532 @t560 @t1 @t562 @t456 @t523 @t520))) % 15.50/15.83 (step @p356 :rule chain_m_resolution :premises (@p355 @p258 @p253 @p248) :args ((or (not @t511) @t496 @t497 @t498 @t489 @t490 @t491 @t505 @t483) @t485 (@list @t517 @t514 @t440))) % 15.50/15.83 (step @p357 :rule alpha_equiv :args (@t511 @t566 (@list @t235 @t234))) % 15.50/15.83 (step @p358 :rule equiv_elim2 :premises (@p357)) % 15.50/15.83 (step @p359 :rule alpha_equiv :args (@t511 @t566 (@list @t271 @t270))) % 15.50/15.83 (step @p360 :rule equiv_elim2 :premises (@p359)) % 15.50/15.83 (step @p361 :rule quant-miniscope-or :args ((= (forall @t572 @t571) (or @t2 @t570 @t568)))) % 15.50/15.83 (step @p362 :rule aci_norm :args ((= @t241 @t571))) % 15.50/15.83 (step @p363 :rule cong :premises (@p362) :args (@t573)) % 15.50/15.83 (step @p364 :rule quant_var_reordering :args ((= @t242 @t573))) % 15.50/15.83 (step @p365 :rule trans :premises (@p364 @p363 @p361)) % 15.50/15.83 (step @p366 :rule eq_resolve :premises (@p29 @p365)) % 15.50/15.83 (step @p367 :rule quant-miniscope-or :args ((= (forall @t579 @t578) (or @t2 @t577 @t575)))) % 15.50/15.83 (step @p368 :rule aci_norm :args ((= @t277 @t578))) % 15.50/15.83 (step @p369 :rule cong :premises (@p368) :args (@t580)) % 15.50/15.83 (step @p370 :rule quant_var_reordering :args ((= @t278 @t580))) % 15.50/15.83 (step @p371 :rule trans :premises (@p370 @p369 @p367)) % 15.50/15.83 (step @p372 :rule eq_resolve :premises (@p32 @p371)) % 15.50/15.83 (step @p373 :rule alpha_equiv :args (@t456 @t457 (@list @t232 @t231))) % 15.50/15.83 (step @p374 :rule equiv_elim2 :premises (@p373)) % 15.50/15.83 (step @p375 :rule alpha_equiv :args (@t458 @t459 (@list @t268 @t267))) % 15.50/15.83 (step @p376 :rule equiv_elim2 :premises (@p375)) % 15.50/15.83 (step @p377 :rule chain_m_resolution :premises (@p247 @p151 @p146 @p376 @p374 @p372 @p37 @p366 @p37 @p360 @p358 @p356 @p121 @p116) :args ((or (not @t430) @t496 @t497 @t498 @t489 @t490 @t491) (@list false false false false false false false false true true true false false) (@list @t461 @t460 @t458 @t456 @t575 @t1 @t568 @t1 @t577 @t570 @t511 @t438 @t434))) % 15.50/15.83 (step @p378 :rule alpha_equiv :args (@t430 @t581 (@list @t220 @t219))) % 15.50/15.83 (step @p379 :rule equiv_elim2 :premises (@p378)) % 15.50/15.83 (step @p380 :rule alpha_equiv :args (@t430 @t581 (@list @t244 @t243))) % 15.50/15.83 (step @p381 :rule equiv_elim2 :premises (@p380)) % 15.50/15.83 (step @p382 :rule alpha_equiv :args (@t430 @t581 (@list @t292 @t291))) % 15.50/15.83 (step @p383 :rule equiv_elim2 :premises (@p382)) % 15.50/15.83 (step @p384 :rule quant-miniscope-or :args ((= (forall @t587 @t586) (or @t2 @t585 @t583)))) % 15.50/15.83 (step @p385 :rule aci_norm :args ((= @t229 @t586))) % 15.50/15.83 (step @p386 :rule cong :premises (@p385) :args (@t588)) % 15.50/15.83 (step @p387 :rule quant_var_reordering :args ((= @t230 @t588))) % 15.50/15.83 (step @p388 :rule trans :premises (@p387 @p386 @p384)) % 15.50/15.83 (step @p389 :rule eq_resolve :premises (@p28 @p388)) % 15.50/15.83 (step @p390 :rule quant-miniscope-or :args ((= (forall @t594 @t593) (or @t2 @t592 @t590)))) % 15.50/15.83 (step @p391 :rule aci_norm :args ((= @t253 @t593))) % 15.50/15.83 (step @p392 :rule cong :premises (@p391) :args (@t595)) % 15.50/15.83 (step @p393 :rule quant_var_reordering :args ((= @t254 @t595))) % 15.50/15.83 (step @p394 :rule trans :premises (@p393 @p392 @p390)) % 15.50/15.83 (step @p395 :rule eq_resolve :premises (@p30 @p394)) % 15.50/15.83 (step @p396 :rule quant-miniscope-or :args ((= (forall @t601 @t600) (or @t2 @t599 @t597)))) % 15.50/15.83 (step @p397 :rule aci_norm :args ((= @t301 @t600))) % 15.50/15.83 (step @p398 :rule cong :premises (@p397) :args (@t602)) % 15.50/15.83 (step @p399 :rule quant_var_reordering :args ((= @t302 @t602))) % 15.50/15.83 (step @p400 :rule trans :premises (@p399 @p398 @p396)) % 15.50/15.83 (step @p401 :rule eq_resolve :premises (@p34 @p400)) % 15.50/15.83 (step @p402 :rule alpha_equiv :args (@t511 @t566 (@list @t223 @t222))) % 15.50/15.83 (step @p403 :rule equiv_elim2 :premises (@p402)) % 15.50/15.83 (step @p404 :rule alpha_equiv :args (@t440 @t441 (@list @t247 @t246))) % 15.50/15.83 (step @p405 :rule equiv_elim2 :premises (@p404)) % 15.50/15.83 (step @p406 :rule alpha_equiv :args (@t532 @t533 (@list @t295 @t294))) % 15.50/15.83 (step @p407 :rule equiv_elim2 :premises (@p406)) % 15.50/15.83 (step @p408 :rule refl :args (@t438)) % 15.50/15.83 (step @p409 :rule nary_cong :premises (@p408 @p289) :args ((or @t438 @t538))) % 15.50/15.83 (step @p410 :rule cnf_or_neg :args (@t438 2)) % 15.50/15.83 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 15.50/15.83 (step @p412 :rule reordering :premises (@p411) :args ((or @t333 @t438))) % 15.50/15.83 (step @p413 :rule chain_m_resolution :premises (@p307 @p305 @p300 @p298 @p296 @p173 @p412 @p171 @p347 @p165) :args ((or @t465 @t437 @t489 @t490 @t491 @t539 @t540 @t541) @t546 (@list @t545 @t513 @t519 @t536 @t475 @t333 @t470 @t438 @t468))) % 15.50/15.83 (step @p414 :rule chain_m_resolution :premises (@p307 @p300 @p298 @p296 @p305 @p412 @p222 @p348 @p220) :args ((or @t330 @t334 @t437 @t489 @t490 @t491 @t539 @t540 @t541) @t551 (@list @t513 @t519 @t536 @t545 @t333 @t475 @t438 @t501))) % 15.50/15.83 (step @p415 :rule refl :args (@t434)) % 15.50/15.83 (step @p416 :rule nary_cong :premises (@p415 @p324) :args ((or @t434 @t556))) % 15.50/15.83 (step @p417 :rule cnf_or_neg :args (@t434 1)) % 15.50/15.83 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 15.50/15.83 (step @p419 :rule reordering :premises (@p418) :args ((or @t331 @t434))) % 15.50/15.83 (step @p420 :rule chain_m_resolution :premises (@p307 @p300 @p298 @p296 @p412 @p356 @p305 @p419 @p236 @p323 @p414 @p214 @p313 @p205 @p413 @p283 @p268 @p258 @p288 @p407 @p401 @p383 @p263 @p405 @p395 @p381 @p253 @p403 @p389 @p37 @p379 @p377) :args ((or @t437 @t496 @t497 @t498 @t489 @t490 @t491) (@list false false false false true false false false true false false false false false false false false false false false true false false false true false false false false true true) (@list @t513 @t519 @t536 @t333 @t438 @t545 @t434 @t475 @t331 @t334 @t329 @t550 @t495 @t465 @t535 @t523 @t517 @t537 @t532 @t597 @t599 @t520 @t440 @t590 @t592 @t514 @t511 @t583 @t1 @t585 @t430))) % 15.50/15.83 (step @p421 :rule bool-double-not-elim :args (@t332)) % 15.50/15.83 (step @p422 :rule nary_cong :premises (@p408 @p421) :args ((or @t438 (not @t437)))) % 15.50/15.83 (step @p423 :rule cnf_or_neg :args (@t438 1)) % 15.50/15.83 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 15.50/15.83 (step @p425 :rule reordering :premises (@p424) :args ((or @t332 @t438))) % 15.50/15.83 (step @p426 :rule bool-double-not-elim :args (@t334)) % 15.50/15.83 (step @p427 :rule nary_cong :premises (@p415 @p426) :args ((or @t434 (not @t432)))) % 15.50/15.83 (step @p428 :rule cnf_or_neg :args (@t434 2)) % 15.50/15.83 (step @p429 :rule eq_resolve :premises (@p428 @p427)) % 15.50/15.83 (step @p430 :rule reordering :premises (@p429) :args ((or @t334 @t434))) % 15.50/15.83 (step @p431 :rule chain_m_resolution :premises (@p323 @p430 @p419 @p313 @p356 @p244 @p425 @p420 @p283 @p268 @p258 @p407 @p405 @p403 @p401 @p37 @p395 @p37 @p389 @p37 @p383 @p381 @p379 @p377 @p111 @p106) :args ((or (not @t418) @t496 @t497 @t489 @t490) (@list false false false true false false true false false false false false false false false false false false false true true true true false false) (@list @t334 @t331 @t550 @t434 @t465 @t438 @t332 @t535 @t523 @t517 @t532 @t440 @t511 @t597 @t1 @t590 @t1 @t583 @t1 @t599 @t592 @t585 @t430 @t429 @t427))) % 15.50/15.83 (step @p432 :rule chain_m_resolution :premises (@p431 @p101 @p96 @p91 @p89 @p87 @p82 @p77 @p37 @p72 @p37 @p67 @p65 @p63 @p61 @p37) :args (@t392 @t603 (@list @t425 @t422 @t418 @t415 @t413 @t410 @t404 @t1 @t399 @t1 @t396 @t406 @t401 @t390 @t1))) % 15.50/15.83 (assume-push @p683 @t392) % 15.50/15.83 (step @p434 :rule instantiate :premises (@p683) :args (@t381)) % 15.50/15.83 (step-pop @p684 :rule scope :premises (@p434)) % 15.50/15.83 (step @p435 :rule process_scope :premises (@p684) :args (@t606)) % 15.50/15.83 (step @p437 :rule implies_elim :premises (@p435)) % 15.50/15.83 (assume-push @p685 @t392) % 15.50/15.83 (step @p439 :rule instantiate :premises (@p685) :args (@t385)) % 15.50/15.83 (step-pop @p686 :rule scope :premises (@p439)) % 15.50/15.83 (step @p440 :rule process_scope :premises (@p686) :args (@t609)) % 15.50/15.83 (step @p442 :rule implies_elim :premises (@p440)) % 15.50/15.83 (step @p443 :rule quant-miniscope-or :args ((= (forall @t28 @t614) (or @t2 @t613 @t611)))) % 15.50/15.83 (step @p444 :rule aci_norm :args ((= @t27 @t614))) % 15.50/15.83 (step @p445 :rule cong :premises (@p444) :args (@t29)) % 15.50/15.83 (step @p446 :rule trans :premises (@p445 @p443)) % 15.50/15.83 (step @p447 :rule eq_resolve :premises (@p3 @p446)) % 15.50/15.83 (step @p448 :rule alpha_equiv :args (@t613 @t615 (@list @t48))) % 15.50/15.83 (step @p449 :rule equiv_elim2 :premises (@p448)) % 15.50/15.83 (step @p450 :rule alpha_equiv :args (@t613 @t615 (@list @t141))) % 15.50/15.83 (step @p451 :rule equiv_elim2 :premises (@p450)) % 15.50/15.83 (step @p452 :rule alpha_equiv :args (@t396 @t397 (@list @t23))) % 15.50/15.83 (step @p453 :rule equiv_elim2 :premises (@p452)) % 15.50/15.83 (step @p454 :rule quant-miniscope-or :args ((= (forall @t55 @t620) (or @t2 @t619 @t617)))) % 15.50/15.83 (step @p455 :rule aci_norm :args ((= @t54 @t620))) % 15.50/15.83 (step @p456 :rule cong :premises (@p455) :args (@t56)) % 15.50/15.83 (step @p457 :rule trans :premises (@p456 @p454)) % 15.50/15.83 (step @p458 :rule eq_resolve :premises (@p6 @p457)) % 15.50/15.83 (step @p459 :rule quant-miniscope-or :args ((= (forall @t148 @t625) (or @t2 @t624 @t622)))) % 15.50/15.83 (step @p460 :rule aci_norm :args ((= @t147 @t625))) % 15.50/15.83 (step @p461 :rule cong :premises (@p460) :args (@t149)) % 15.50/15.83 (step @p462 :rule trans :premises (@p461 @p459)) % 15.50/15.83 (step @p463 :rule eq_resolve :premises (@p15 @p462)) % 15.50/15.83 (step @p464 :rule alpha_equiv :args (@t415 @t416 (@list @t50))) % 15.50/15.83 (step @p465 :rule equiv_elim2 :premises (@p464)) % 15.50/15.83 (step @p466 :rule alpha_equiv :args (@t418 @t419 (@list @t143))) % 15.50/15.83 (step @p467 :rule equiv_elim2 :premises (@p466)) % 15.50/15.83 (step @p468 :rule chain_m_resolution :premises (@p431 @p101 @p96 @p467 @p465 @p87 @p82 @p463 @p37 @p458 @p37 @p453 @p451 @p449 @p447 @p37) :args (@t613 @t603 (@list @t425 @t422 @t418 @t415 @t413 @t410 @t622 @t1 @t617 @t1 @t396 @t624 @t619 @t611 @t1))) % 15.50/15.83 (assume-push @p687 @t613) % 15.50/15.83 (step @p470 :rule instantiate :premises (@p687) :args (@t381)) % 15.50/15.83 (step-pop @p688 :rule scope :premises (@p470)) % 15.50/15.83 (step @p471 :rule process_scope :premises (@p688) :args (@t627)) % 15.50/15.83 (step @p473 :rule implies_elim :premises (@p471)) % 15.50/15.83 (assume-push @p689 @t613) % 15.50/15.83 (step @p475 :rule instantiate :premises (@p689) :args (@t385)) % 15.50/15.83 (step-pop @p690 :rule scope :premises (@p475)) % 15.50/15.83 (step @p476 :rule process_scope :premises (@p690) :args (@t629)) % 15.50/15.83 (step @p478 :rule implies_elim :premises (@p476)) % 15.50/15.83 (step @p479 :rule alpha_equiv :args (@t418 @t419 (@list @t190))) % 15.50/15.83 (step @p480 :rule equiv_elim2 :premises (@p479)) % 15.50/15.83 (step @p481 :rule alpha_equiv :args (@t418 @t419 (@list @t201))) % 15.50/15.83 (step @p482 :rule equiv_elim2 :premises (@p481)) % 15.50/15.83 (step @p483 :rule alpha_equiv :args (@t418 @t419 (@list @t213))) % 15.50/15.83 (step @p484 :rule equiv_elim2 :premises (@p483)) % 15.50/15.83 (step @p485 :rule quant-miniscope-or :args ((= (forall @t195 @t634) (or @t2 @t633 @t631)))) % 15.50/15.83 (step @p486 :rule aci_norm :args ((= @t194 @t634))) % 15.50/15.83 (step @p487 :rule cong :premises (@p486) :args (@t196)) % 15.50/15.83 (step @p488 :rule trans :premises (@p487 @p485)) % 15.50/15.83 (step @p489 :rule eq_resolve :premises (@p25 @p488)) % 15.50/15.83 (step @p490 :rule quant-miniscope-or :args ((= (forall @t206 @t639) (or @t2 @t638 @t636)))) % 15.50/15.83 (step @p491 :rule aci_norm :args ((= @t205 @t639))) % 15.50/15.83 (step @p492 :rule cong :premises (@p491) :args (@t207)) % 15.50/15.83 (step @p493 :rule trans :premises (@p492 @p490)) % 15.50/15.83 (step @p494 :rule eq_resolve :premises (@p26 @p493)) % 15.50/15.83 (step @p495 :rule quant-miniscope-or :args ((= (forall @t217 @t644) (or @t2 @t643 @t641)))) % 15.50/15.83 (step @p496 :rule aci_norm :args ((= @t216 @t644))) % 15.50/15.83 (step @p497 :rule cong :premises (@p496) :args (@t218)) % 15.50/15.83 (step @p498 :rule trans :premises (@p497 @p495)) % 15.50/15.83 (step @p499 :rule eq_resolve :premises (@p27 @p498)) % 15.50/15.83 (step @p500 :rule alpha_equiv :args (@t511 @t566 (@list @t187 @t186))) % 15.50/15.83 (step @p501 :rule equiv_elim2 :premises (@p500)) % 15.50/15.83 (step @p502 :rule alpha_equiv :args (@t440 @t441 (@list @t198 @t197))) % 15.50/15.83 (step @p503 :rule equiv_elim2 :premises (@p502)) % 15.50/15.83 (step @p504 :rule alpha_equiv :args (@t532 @t533 (@list @t209 @t208))) % 15.50/15.83 (step @p505 :rule equiv_elim2 :premises (@p504)) % 15.50/15.83 (step @p506 :rule cnf_or_neg :args (@t429 0)) % 15.50/15.83 (step @p507 :rule reordering :premises (@p506) :args ((or @t328 @t429))) % 15.50/15.83 (step @p508 :rule cnf_or_pos :args (@t388)) % 15.50/15.83 (step @p509 :rule reordering :premises (@p508) :args ((or @t327 @t387 @t645))) % 15.50/15.83 (step @p510 :rule cnf_or_pos :args (@t609)) % 15.50/15.83 (step @p511 :rule reordering :premises (@p510) :args ((or @t327 @t608 @t646))) % 15.50/15.83 (step @p512 :rule cnf_or_pos :args (@t629)) % 15.50/15.83 (step @p513 :rule reordering :premises (@p512) :args ((or @t327 @t628 @t647))) % 15.50/15.83 (step @p514 :rule cnf_or_pos :args (@t651)) % 15.50/15.83 (step @p515 :rule reordering :premises (@p514) :args ((or @t650 @t648 @t649 (not @t651)))) % 15.50/15.83 (assume-push @p691 @t475) % 15.50/15.83 (step @p517 :rule instantiate :premises (@p691) :args ((@list @t386 @t607))) % 15.50/15.83 (step-pop @p692 :rule scope :premises (@p517)) % 15.50/15.83 (step @p518 :rule process_scope :premises (@p692) :args (@t651)) % 15.50/15.83 (step @p520 :rule implies_elim :premises (@p518)) % 15.50/15.83 (step @p521 :rule chain_m_resolution :premises (@p520 @p515 @p513 @p511 @p509 @p173 @p507 @p171 @p413 @p165) :args ((or @t465 @t437 @t645 @t646 @t647 @t489 @t490 @t539 @t540 @t541) (@list true false false false false true false true true) (@list @t651 @t628 @t608 @t387 @t475 @t327 @t470 @t429 @t468))) % 15.50/15.83 (assume-push @p693 @t465) % 15.50/15.83 (step @p523 :rule instantiate :premises (@p693) :args ((@list @t382 @t604))) % 15.50/15.83 (step-pop @p694 :rule scope :premises (@p523)) % 15.50/15.83 (step @p524 :rule process_scope :premises (@p694) :args (@t655)) % 15.50/15.83 (step @p526 :rule implies_elim :premises (@p524)) % 15.50/15.83 (step @p527 :rule cnf_or_pos :args (@t384)) % 15.50/15.83 (step @p528 :rule reordering :premises (@p527) :args ((or @t329 @t383 @t656))) % 15.50/15.83 (step @p529 :rule cnf_or_pos :args (@t606)) % 15.50/15.83 (step @p530 :rule reordering :premises (@p529) :args ((or @t329 @t605 @t657))) % 15.50/15.83 (step @p531 :rule cnf_or_pos :args (@t627)) % 15.50/15.83 (step @p532 :rule reordering :premises (@p531) :args ((or @t329 @t626 @t658))) % 15.50/15.83 (step @p533 :rule cnf_or_pos :args (@t655)) % 15.50/15.83 (step @p534 :rule reordering :premises (@p533) :args ((or @t654 @t652 @t653 @t659))) % 15.50/15.83 (step @p535 :rule chain_m_resolution :premises (@p534 @p532 @p530 @p528) :args ((or @t329 @t656 @t657 @t658 @t659) @t485 (@list @t626 @t605 @t383))) % 15.50/15.83 (step @p536 :rule cnf_or_neg :args (@t427 0)) % 15.50/15.83 (step @p537 :rule reordering :premises (@p536) :args ((or @t330 @t427))) % 15.50/15.83 (step @p538 :rule chain_m_resolution :premises (@p323 @p220 @p236 @p222 @p520 @p515 @p513 @p511 @p509 @p507 @p420 @p537 @p535 @p526 @p313 @p521 @p288 @p263 @p253 @p283 @p505 @p499 @p484 @p268 @p503 @p494 @p482 @p258 @p501 @p489 @p37 @p480 @p431) :args ((or @t437 @t656 @t657 @t658 @t496 @t497 @t645 @t646 @t647 @t489 @t490) @t660 (@list @t334 @t331 @t501 @t475 @t651 @t628 @t608 @t387 @t327 @t429 @t427 @t329 @t655 @t550 @t465 @t537 @t520 @t514 @t535 @t532 @t641 @t643 @t523 @t440 @t636 @t638 @t517 @t511 @t631 @t1 @t633 @t418))) % 15.50/15.83 (step @p539 :rule chain_m_resolution :premises (@p520 @p515 @p173 @p513 @p511 @p509 @p171 @p243 @p165) :args ((or @t332 @t465 @t645 @t646 @t647) @t508 (@list @t651 @t475 @t628 @t608 @t387 @t470 @t327 @t468))) % 15.50/15.83 (step @p540 :rule chain_m_resolution :premises (@p515 @p520 @p513 @p511 @p509 @p222 @p245 @p220) :args ((or @t332 @t330 @t334 @t645 @t646 @t647) @t509 (@list @t651 @t628 @t608 @t387 @t475 @t327 @t501))) % 15.50/15.83 (step @p541 :rule chain_m_resolution :premises (@p515 @p513 @p511 @p509 @p520 @p38 @p236 @p323 @p540 @p535 @p526 @p313 @p539 @p538 @p283 @p268 @p258 @p505 @p503 @p501 @p499 @p37 @p494 @p37 @p489 @p37 @p484 @p482 @p480 @p431 @p101 @p96) :args ((or (not @t415) @t656 @t657 @t658 @t496 @t645 @t646 @t647 @t489) @t661 (@list @t628 @t608 @t387 @t651 @t327 @t475 @t331 @t334 @t329 @t655 @t550 @t465 @t332 @t535 @t523 @t517 @t532 @t440 @t511 @t641 @t1 @t636 @t1 @t631 @t1 @t643 @t638 @t633 @t418 @t425 @t422))) % 15.50/15.83 (step @p542 :rule alpha_equiv :args (@t415 @t416 (@list @t94))) % 15.50/15.83 (step @p543 :rule equiv_elim2 :premises (@p542)) % 15.50/15.83 (step @p544 :rule alpha_equiv :args (@t415 @t416 (@list @t105))) % 15.50/15.83 (step @p545 :rule equiv_elim2 :premises (@p544)) % 15.50/15.83 (step @p546 :rule alpha_equiv :args (@t415 @t416 (@list @t117))) % 15.50/15.83 (step @p547 :rule equiv_elim2 :premises (@p546)) % 15.50/15.83 (step @p548 :rule quant-miniscope-or :args ((= (forall @t99 @t666) (or @t2 @t665 @t663)))) % 15.50/15.83 (step @p549 :rule aci_norm :args ((= @t98 @t666))) % 15.50/15.83 (step @p550 :rule cong :premises (@p549) :args (@t100)) % 15.50/15.83 (step @p551 :rule trans :premises (@p550 @p548)) % 15.50/15.83 (step @p552 :rule eq_resolve :premises (@p10 @p551)) % 15.50/15.83 (step @p553 :rule quant-miniscope-or :args ((= (forall @t110 @t671) (or @t2 @t670 @t668)))) % 15.50/15.83 (step @p554 :rule aci_norm :args ((= @t109 @t671))) % 15.50/15.83 (step @p555 :rule cong :premises (@p554) :args (@t111)) % 15.50/15.83 (step @p556 :rule trans :premises (@p555 @p553)) % 15.50/15.83 (step @p557 :rule eq_resolve :premises (@p11 @p556)) % 15.50/15.83 (step @p558 :rule quant-miniscope-or :args ((= (forall @t121 @t676) (or @t2 @t675 @t673)))) % 15.50/15.83 (step @p559 :rule aci_norm :args ((= @t120 @t676))) % 15.50/15.83 (step @p560 :rule cong :premises (@p559) :args (@t122)) % 15.50/15.83 (step @p561 :rule trans :premises (@p560 @p558)) % 15.50/15.83 (step @p562 :rule eq_resolve :premises (@p12 @p561)) % 15.50/15.83 (step @p563 :rule alpha_equiv :args (@t511 @t566 (@list @t91 @t90))) % 15.50/15.83 (step @p564 :rule equiv_elim2 :premises (@p563)) % 15.50/15.83 (step @p565 :rule alpha_equiv :args (@t440 @t441 (@list @t102 @t101))) % 15.50/15.83 (step @p566 :rule equiv_elim2 :premises (@p565)) % 15.50/15.83 (step @p567 :rule alpha_equiv :args (@t532 @t533 (@list @t113 @t112))) % 15.50/15.83 (step @p568 :rule equiv_elim2 :premises (@p567)) % 15.50/15.83 (step @p569 :rule cnf_or_neg :args (@t425 0)) % 15.50/15.83 (step @p570 :rule reordering :premises (@p569) :args ((or @t328 @t425))) % 15.50/15.83 (step @p571 :rule chain_m_resolution :premises (@p515 @p520 @p513 @p511 @p509 @p173 @p570 @p171 @p521 @p165) :args ((or @t465 @t437 @t645 @t646 @t647 @t489 @t539 @t540 @t541) @t677 (@list @t651 @t628 @t608 @t387 @t475 @t327 @t470 @t425 @t468))) % 15.50/15.83 (step @p572 :rule cnf_or_neg :args (@t422 0)) % 15.50/15.83 (step @p573 :rule reordering :premises (@p572) :args ((or @t330 @t422))) % 15.50/15.83 (step @p574 :rule chain_m_resolution :premises (@p323 @p220 @p236 @p222 @p520 @p515 @p513 @p511 @p509 @p570 @p538 @p573 @p535 @p526 @p313 @p571 @p288 @p263 @p253 @p283 @p568 @p562 @p547 @p268 @p566 @p557 @p545 @p258 @p564 @p552 @p37 @p543 @p541) :args ((or @t437 @t656 @t657 @t658 @t496 @t645 @t646 @t647 @t489) @t660 (@list @t334 @t331 @t501 @t475 @t651 @t628 @t608 @t387 @t327 @t425 @t422 @t329 @t655 @t550 @t465 @t537 @t520 @t514 @t535 @t532 @t673 @t675 @t523 @t440 @t668 @t670 @t517 @t511 @t663 @t1 @t665 @t415))) % 15.50/15.83 (step @p575 :rule chain_m_resolution :premises (@p515 @p513 @p511 @p509 @p520 @p38 @p236 @p323 @p540 @p535 @p526 @p313 @p539 @p574 @p283 @p268 @p258 @p568 @p566 @p564 @p562 @p37 @p557 @p37 @p552 @p37 @p547 @p545 @p543 @p541 @p87 @p82) :args ((or (not @t396) @t656 @t657 @t658 @t645 @t646 @t647) @t661 (@list @t628 @t608 @t387 @t651 @t327 @t475 @t331 @t334 @t329 @t655 @t550 @t465 @t332 @t535 @t523 @t517 @t532 @t440 @t511 @t673 @t1 @t668 @t1 @t663 @t1 @t675 @t670 @t665 @t415 @t413 @t410))) % 15.50/15.83 (step @p576 :rule alpha_equiv :args (@t396 @t397 (@list @t62))) % 15.50/15.83 (step @p577 :rule equiv_elim2 :premises (@p576)) % 15.50/15.83 (step @p578 :rule alpha_equiv :args (@t396 @t397 (@list @t73))) % 15.50/15.83 (step @p579 :rule equiv_elim2 :premises (@p578)) % 15.50/15.83 (step @p580 :rule alpha_equiv :args (@t396 @t397 (@list @t84))) % 15.50/15.83 (step @p581 :rule equiv_elim2 :premises (@p580)) % 15.50/15.83 (step @p582 :rule quant-miniscope-or :args ((= (forall @t66 @t680) (or @t2 @t679 @t511)))) % 15.50/15.83 (step @p583 :rule aci_norm :args ((= @t65 @t680))) % 15.50/15.83 (step @p584 :rule cong :premises (@p583) :args (@t67)) % 15.50/15.83 (step @p585 :rule trans :premises (@p584 @p582)) % 15.50/15.83 (step @p586 :rule eq_resolve :premises (@p7 @p585)) % 15.50/15.83 (step @p587 :rule quant-miniscope-or :args ((= (forall @t77 @t683) (or @t2 @t682 @t440)))) % 15.50/15.83 (step @p588 :rule aci_norm :args ((= @t76 @t683))) % 15.50/15.83 (step @p589 :rule cong :premises (@p588) :args (@t78)) % 15.50/15.83 (step @p590 :rule trans :premises (@p589 @p587)) % 15.50/15.83 (step @p591 :rule eq_resolve :premises (@p8 @p590)) % 15.50/15.83 (step @p592 :rule quant-miniscope-or :args ((= (forall @t88 @t686) (or @t2 @t685 @t532)))) % 15.50/15.83 (step @p593 :rule aci_norm :args ((= @t87 @t686))) % 15.50/15.83 (step @p594 :rule cong :premises (@p593) :args (@t89)) % 15.50/15.83 (step @p595 :rule trans :premises (@p594 @p592)) % 15.50/15.83 (step @p596 :rule eq_resolve :premises (@p9 @p595)) % 15.50/15.83 (step @p597 :rule cnf_or_neg :args (@t413 0)) % 15.50/15.83 (step @p598 :rule reordering :premises (@p597) :args ((or @t328 @t413))) % 15.50/15.83 (step @p599 :rule chain_m_resolution :premises (@p515 @p520 @p513 @p511 @p509 @p173 @p598 @p171 @p571 @p165) :args ((or @t465 @t437 @t645 @t646 @t647 @t539 @t540 @t541) @t677 (@list @t651 @t628 @t608 @t387 @t475 @t327 @t470 @t413 @t468))) % 15.50/15.83 (step @p600 :rule cnf_or_neg :args (@t410 0)) % 15.50/15.83 (step @p601 :rule reordering :premises (@p600) :args ((or @t330 @t410))) % 15.50/15.83 (step @p602 :rule chain_m_resolution :premises (@p323 @p220 @p236 @p222 @p520 @p515 @p513 @p511 @p509 @p598 @p574 @p601 @p535 @p526 @p313 @p599 @p288 @p263 @p253 @p283 @p596 @p581 @p268 @p591 @p579 @p258 @p586 @p37 @p577 @p575) :args ((or @t437 @t656 @t657 @t658 @t645 @t646 @t647) (@list false false true true true false false false true true false false false false false false false false false false true false false true false false false true true) (@list @t334 @t331 @t501 @t475 @t651 @t628 @t608 @t387 @t327 @t413 @t410 @t329 @t655 @t550 @t465 @t537 @t520 @t514 @t535 @t532 @t685 @t523 @t440 @t682 @t517 @t511 @t1 @t679 @t396))) % 15.50/15.83 (step @p603 :rule chain_m_resolution :premises (@p515 @p513 @p511 @p509 @p520 @p38 @p236 @p323 @p540 @p535 @p526 @p313 @p539 @p602 @p283 @p268 @p258 @p596 @p37 @p591 @p37 @p586 @p37 @p581 @p579 @p577 @p575 @p478 @p473) :args ((or (not @t613) @t656 @t657 @t645 @t646) (@list false false false false true false true false false false false false true false false false false false false false false false true true true true false false) (@list @t628 @t608 @t387 @t651 @t327 @t475 @t331 @t334 @t329 @t655 @t550 @t465 @t332 @t535 @t523 @t517 @t532 @t1 @t440 @t1 @t511 @t1 @t685 @t682 @t679 @t396 @t629 @t627))) % 15.50/15.83 (step @p604 :rule chain_m_resolution :premises (@p603 @p468 @p442 @p437) :args ((or (not @t392) @t656 @t645) @t485 (@list @t613 @t609 @t606))) % 15.50/15.83 (step @p605 :rule chain_m_resolution :premises (@p604 @p432 @p56 @p51) :args ((not @t380) @t485 (@list @t392 @t388 @t384))) % 15.50/15.83 (step @p606 :rule alpha_equiv :args (@t380 @t687 (@list @t32))) % 15.50/15.83 (step @p607 :rule equiv_elim2 :premises (@p606)) % 15.50/15.83 (step @p608 :rule chain_m_resolution :premises (@p607 @p605) :args ((not @t689) @t690 @t691)) % 15.50/15.83 (step @p609 :rule quant-miniscope-or :args ((= (forall @t37 @t692) (or @t2 @t689 @t415)))) % 15.50/15.83 (step @p610 :rule aci_norm :args ((= @t36 @t692))) % 15.50/15.83 (step @p611 :rule cong :premises (@p610) :args (@t38)) % 15.50/15.83 (step @p612 :rule trans :premises (@p611 @p609)) % 15.50/15.83 (step @p613 :rule eq_resolve :premises (@p4 @p612)) % 15.50/15.83 (step @p614 :rule chain_m_resolution :premises (@p613 @p37 @p608) :args (@t415 @t693 (@list @t1 @t689))) % 15.50/15.83 (step @p615 :rule chain_m_resolution :premises (@p96 @p614) :args (@t422 @t694 @t695)) % 15.50/15.83 (step @p616 :rule quant-miniscope-or :args ((= (forall @t10 @t696) (or @t2 @t380 @t396)))) % 15.50/15.83 (step @p617 :rule aci_norm :args ((= @t9 @t696))) % 15.50/15.83 (step @p618 :rule cong :premises (@p617) :args (@t11)) % 15.50/15.83 (step @p619 :rule trans :premises (@p618 @p616)) % 15.50/15.83 (step @p620 :rule eq_resolve :premises (@p1 @p619)) % 15.50/15.83 (step @p621 :rule chain_m_resolution :premises (@p620 @p37 @p605) :args (@t396 @t693 (@list @t1 @t380))) % 15.50/15.83 (step @p622 :rule chain_m_resolution :premises (@p82 @p621) :args (@t410 @t694 @t697)) % 15.50/15.83 (step @p623 :rule chain_m_resolution :premises (@p87 @p621) :args (@t413 @t694 @t697)) % 15.50/15.83 (step @p624 :rule alpha_equiv :args (@t380 @t687 (@list @t125))) % 15.50/15.83 (step @p625 :rule equiv_elim2 :premises (@p624)) % 15.50/15.83 (step @p626 :rule chain_m_resolution :premises (@p625 @p605) :args ((not @t699) @t690 @t691)) % 15.50/15.83 (step @p627 :rule quant-miniscope-or :args ((= (forall @t130 @t700) (or @t2 @t699 @t418)))) % 15.50/15.83 (step @p628 :rule aci_norm :args ((= @t129 @t700))) % 15.50/15.83 (step @p629 :rule cong :premises (@p628) :args (@t131)) % 15.50/15.83 (step @p630 :rule trans :premises (@p629 @p627)) % 15.50/15.83 (step @p631 :rule eq_resolve :premises (@p13 @p630)) % 15.50/15.83 (step @p632 :rule chain_m_resolution :premises (@p631 @p37 @p626) :args (@t418 @t693 (@list @t1 @t699))) % 15.50/15.83 (step @p633 :rule chain_m_resolution :premises (@p101 @p614) :args (@t425 @t694 @t695)) % 15.50/15.83 (step @p634 false :rule chain_m_resolution :premises (@p431 @p633 @p632 @p623 @p622 @p615) :args (false (@list false false false false false) (@list @t425 @t418 @t413 @t410 @t422))) % 15.50/15.83 ) % 15.50/15.83 % SZS output end Proof % 15.50/15.83 % cvc5 exiting %------------------------------------------------------------------------------