%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO655+1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:17:31 AM UTC 2026 % Result : Theorem 20.31s 20.57s % Output : Proof 20.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO655+1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n025.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 00:13:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 20.31/20.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 20.31/20.57 --- Run --no-e-matching --full-saturate-quant at 6... % 20.31/20.57 % SZS status Theorem % 20.31/20.57 % SZS output start Proof % 20.31/20.57 ( % 20.31/20.57 (declare-sort $$unsorted 0) % 20.31/20.57 (declare-const tptp.contri (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.simtri (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.eqratio (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.eqangle (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.cyclic (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.circle (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.midp (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.perp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.cong (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.para (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (declare-const tptp.coll (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.31/20.57 (define @t1 () (@var "B" $$unsorted)) % 20.31/20.57 (define @t2 () (@var "C" $$unsorted)) % 20.31/20.57 (define @t3 () (@var "A" $$unsorted)) % 20.31/20.57 (define @t4 () (tptp.coll @t3 @t1 @t2)) % 20.31/20.57 (define @t5 () (@list @t3 @t1 @t2)) % 20.31/20.57 (define @t6 () (@var "D" $$unsorted)) % 20.31/20.57 (define @t7 () (@list @t3 @t1 @t2 @t6)) % 20.31/20.57 (define @t8 () (tptp.para @t3 @t1 @t2 @t6)) % 20.31/20.57 (define @t9 () (tptp.para @t2 @t6 @t3 @t1)) % 20.31/20.57 (define @t10 () (forall @t7 (=> @t8 @t9))) % 20.31/20.57 (define @t11 () (@var "F" $$unsorted)) % 20.31/20.57 (define @t12 () (@var "E" $$unsorted)) % 20.31/20.57 (define @t13 () (tptp.para @t3 @t1 @t12 @t11)) % 20.31/20.57 (define @t14 () (tptp.para @t2 @t6 @t12 @t11)) % 20.31/20.57 (define @t15 () (and @t8 @t14)) % 20.31/20.57 (define @t16 () (@list @t3 @t1 @t2 @t6 @t12 @t11)) % 20.31/20.57 (define @t17 () (forall @t16 (=> @t15 @t13))) % 20.31/20.57 (define @t18 () (tptp.perp @t3 @t1 @t2 @t6)) % 20.31/20.57 (define @t19 () (tptp.perp @t2 @t6 @t3 @t1)) % 20.31/20.57 (define @t20 () (forall @t7 (=> @t18 @t19))) % 20.31/20.57 (define @t21 () (tptp.perp @t2 @t6 @t12 @t11)) % 20.31/20.57 (define @t22 () (and @t18 @t21)) % 20.31/20.57 (define @t23 () (forall @t16 (=> @t22 @t13))) % 20.31/20.57 (define @t24 () (tptp.perp @t3 @t1 @t12 @t11)) % 20.31/20.57 (define @t25 () (and @t8 @t21)) % 20.31/20.57 (define @t26 () (forall @t16 (=> @t25 @t24))) % 20.31/20.57 (define @t27 () (@var "M" $$unsorted)) % 20.31/20.57 (define @t28 () (tptp.midp @t27 @t3 @t1)) % 20.31/20.57 (define @t29 () (@var "O" $$unsorted)) % 20.31/20.57 (define @t30 () (tptp.circle @t29 @t3 @t1 @t2)) % 20.31/20.57 (define @t31 () (tptp.cong @t29 @t3 @t29 @t2)) % 20.31/20.57 (define @t32 () (tptp.cong @t29 @t3 @t29 @t1)) % 20.31/20.57 (define @t33 () (@list @t3 @t1 @t2 @t29)) % 20.31/20.57 (define @t34 () (tptp.cyclic @t3 @t1 @t2 @t6)) % 20.31/20.57 (define @t35 () (@list @t3 @t1 @t2 @t6 @t29)) % 20.31/20.57 (define @t36 () (tptp.cyclic @t3 @t1 @t6 @t2)) % 20.31/20.57 (define @t37 () (forall @t7 (=> @t34 @t36))) % 20.31/20.57 (define @t38 () (tptp.cyclic @t1 @t2 @t6 @t12)) % 20.31/20.57 (define @t39 () (tptp.cyclic @t3 @t1 @t2 @t12)) % 20.31/20.57 (define @t40 () (and @t34 @t39)) % 20.31/20.57 (define @t41 () (forall (@list @t3 @t1 @t2 @t6 @t12) (=> @t40 @t38))) % 20.31/20.57 (define @t42 () (@var "V" $$unsorted)) % 20.31/20.57 (define @t43 () (@var "U" $$unsorted)) % 20.31/20.57 (define @t44 () (@var "Q" $$unsorted)) % 20.31/20.57 (define @t45 () (@var "P" $$unsorted)) % 20.31/20.57 (define @t46 () (tptp.eqangle @t3 @t1 @t2 @t6 @t45 @t44 @t43 @t42)) % 20.31/20.57 (define @t47 () (@list @t3 @t1 @t2 @t6 @t45 @t44 @t43 @t42)) % 20.31/20.57 (define @t48 () (tptp.eqangle @t3 @t1 @t45 @t44 @t2 @t6 @t43 @t42)) % 20.31/20.57 (define @t49 () (forall @t47 (=> @t46 @t48))) % 20.31/20.57 (define @t50 () (@var "H" $$unsorted)) % 20.31/20.57 (define @t51 () (@var "G" $$unsorted)) % 20.31/20.57 (define @t52 () (tptp.cong @t3 @t1 @t2 @t6)) % 20.31/20.57 (define @t53 () (tptp.eqratio @t3 @t1 @t2 @t6 @t45 @t44 @t43 @t42)) % 20.31/20.57 (define @t54 () (@var "R" $$unsorted)) % 20.31/20.57 (define @t55 () (tptp.simtri @t3 @t1 @t2 @t45 @t44 @t54)) % 20.31/20.57 (define @t56 () (@list @t3 @t1 @t2 @t45 @t44 @t54)) % 20.31/20.57 (define @t57 () (@list @t3 @t1 @t2 @t12 @t11 @t51 @t45 @t44 @t54)) % 20.31/20.57 (define @t58 () (tptp.contri @t3 @t1 @t2 @t45 @t44 @t54)) % 20.31/20.57 (define @t59 () (tptp.eqangle @t3 @t1 @t45 @t44 @t2 @t6 @t45 @t44)) % 20.31/20.57 (define @t60 () (@list @t3 @t1 @t2 @t6 @t45 @t44)) % 20.31/20.57 (define @t61 () (forall @t60 (=> @t8 @t59))) % 20.31/20.57 (define @t62 () (tptp.eqangle @t45 @t3 @t45 @t1 @t44 @t3 @t44 @t1)) % 20.31/20.57 (define @t63 () (tptp.cyclic @t3 @t1 @t45 @t44)) % 20.31/20.57 (define @t64 () (@list @t3 @t1 @t45 @t44)) % 20.31/20.57 (define @t65 () (tptp.coll @t45 @t44 @t3)) % 20.31/20.57 (define @t66 () (not @t65)) % 20.31/20.57 (define @t67 () (and @t62 @t66)) % 20.31/20.57 (define @t68 () (forall @t64 (=> @t67 @t63))) % 20.31/20.57 (define @t69 () (tptp.coll @t45 @t44 @t1)) % 20.31/20.57 (define @t70 () (and @t62 @t69)) % 20.31/20.57 (define @t71 () (forall @t64 (=> @t70 @t63))) % 20.31/20.57 (define @t72 () (tptp.cong @t3 @t1 @t45 @t44)) % 20.31/20.57 (define @t73 () (tptp.eqangle @t2 @t3 @t2 @t1 @t54 @t45 @t54 @t44)) % 20.31/20.57 (define @t74 () (tptp.cyclic @t3 @t1 @t2 @t54)) % 20.31/20.57 (define @t75 () (tptp.cyclic @t3 @t1 @t2 @t44)) % 20.31/20.57 (define @t76 () (tptp.cyclic @t3 @t1 @t2 @t45)) % 20.31/20.57 (define @t77 () (and @t76 @t75 @t74 @t73)) % 20.31/20.57 (define @t78 () (forall @t56 (=> @t77 @t72))) % 20.31/20.57 (define @t79 () (tptp.para @t12 @t11 @t1 @t2)) % 20.31/20.57 (define @t80 () (tptp.midp @t11 @t3 @t2)) % 20.31/20.57 (define @t81 () (tptp.midp @t12 @t3 @t1)) % 20.31/20.57 (define @t82 () (@list @t3 @t1 @t2 @t12 @t11)) % 20.31/20.57 (define @t83 () (tptp.eqangle @t29 @t3 @t3 @t1 @t3 @t1 @t29 @t1)) % 20.31/20.57 (define @t84 () (@list @t3 @t1 @t29)) % 20.31/20.57 (define @t85 () (@var "X" $$unsorted)) % 20.31/20.57 (define @t86 () (tptp.eqangle @t3 @t85 @t3 @t1 @t2 @t3 @t2 @t1)) % 20.31/20.57 (define @t87 () (tptp.perp @t29 @t3 @t3 @t85)) % 20.31/20.57 (define @t88 () (@list @t3 @t1 @t2 @t29 @t85)) % 20.31/20.57 (define @t89 () (tptp.eqangle @t3 @t1 @t3 @t2 @t29 @t1 @t29 @t27)) % 20.31/20.57 (define @t90 () (tptp.midp @t27 @t1 @t2)) % 20.31/20.57 (define @t91 () (@list @t3 @t1 @t2 @t29 @t27)) % 20.31/20.57 (define @t92 () (tptp.perp @t3 @t1 @t1 @t2)) % 20.31/20.57 (define @t93 () (tptp.coll @t29 @t3 @t2)) % 20.31/20.57 (define @t94 () (tptp.perp @t3 @t1 @t45 @t44)) % 20.31/20.57 (define @t95 () (tptp.cong @t3 @t44 @t1 @t44)) % 20.31/20.57 (define @t96 () (tptp.cong @t3 @t45 @t1 @t45)) % 20.31/20.57 (define @t97 () (and @t96 @t95)) % 20.31/20.57 (define @t98 () (forall @t64 (=> @t97 @t94))) % 20.31/20.57 (define @t99 () (tptp.perp @t45 @t3 @t3 @t44)) % 20.31/20.57 (define @t100 () (and @t96 @t95 @t63)) % 20.31/20.57 (define @t101 () (forall @t64 (=> @t100 @t99))) % 20.31/20.57 (define @t102 () (tptp.eqangle @t3 @t1 @t1 @t2 @t45 @t44 @t44 @t54)) % 20.31/20.57 (define @t103 () (tptp.para @t3 @t2 @t1 @t6)) % 20.31/20.57 (define @t104 () (tptp.midp @t27 @t2 @t6)) % 20.31/20.57 (define @t105 () (and @t28 @t104)) % 20.31/20.57 (define @t106 () (@list @t3 @t1 @t2 @t6 @t27)) % 20.31/20.57 (define @t107 () (forall @t106 (=> @t105 @t103))) % 20.31/20.57 (define @t108 () (tptp.para @t3 @t1 @t3 @t2)) % 20.31/20.57 (define @t109 () (forall @t5 (=> @t108 @t4))) % 20.31/20.57 (define @t110 () (tptp.midp @t3 @t1 @t2)) % 20.31/20.57 (define @t111 () (tptp.cong @t3 @t1 @t3 @t2)) % 20.31/20.57 (define @t112 () (@var "N" $$unsorted)) % 20.31/20.57 (define @t113 () (tptp.midp @t112 @t2 @t6)) % 20.31/20.57 (define @t114 () (and @t28 @t113)) % 20.31/20.57 (define @t115 () (@list @t3 @t1 @t2 @t6 @t27 @t112)) % 20.31/20.57 (define @t116 () (not @t8)) % 20.31/20.57 (define @t117 () (tptp.eqangle @t3 @t1 @t2 @t6 @t2 @t6 @t3 @t1)) % 20.31/20.57 (define @t118 () (not @t18)) % 20.31/20.57 (define @t119 () (tptp.coll @t1 @t3 @t27)) % 20.31/20.57 (define @t120 () (and @t119 (tptp.coll @t27 @t29 @t85))) % 20.31/20.57 (define @t121 () (tptp.eqangle @t3 @t29 @t29 @t85 @t29 @t85 @t29 @t1)) % 20.31/20.57 (define @t122 () (@list @t27)) % 20.31/20.57 (define @t123 () (@list @t3 @t1 @t29 @t85)) % 20.31/20.57 (define @t124 () (tptp.perp @t29 @t85 @t3 @t1)) % 20.31/20.57 (define @t125 () (@var "Y" $$unsorted)) % 20.31/20.57 (define @t126 () (@list @t45)) % 20.31/20.57 (define @t127 () (tptp.coll @t45 @t44 @t54)) % 20.31/20.57 (define @t128 () (@list @t45 @t44)) % 20.31/20.57 (define @t129 () (tptp.coll @t45 @t3 @t2)) % 20.31/20.57 (define @t130 () (@list @t29)) % 20.31/20.57 (define @t131 () (tptp.perp @t3 @t2 @t2 @t1)) % 20.31/20.57 (define @t132 () (tptp.coll @t1 @t12 @t11)) % 20.31/20.57 (define @t133 () (tptp.para @t11 @t51 @t3 @t2)) % 20.31/20.57 (define @t134 () (tptp.perp @t6 @t11 @t11 @t51)) % 20.31/20.57 (define @t135 () (@var "NWPNT4" $$unsorted)) % 20.31/20.57 (define @t136 () (tptp.circle @t6 @t1 @t11 @t135)) % 20.31/20.57 (define @t137 () (tptp.eqangle @t2 @t1 @t1 @t12 @t12 @t1 @t1 @t3)) % 20.31/20.57 (define @t138 () (tptp.coll @t12 @t3 @t2)) % 20.31/20.57 (define @t139 () (@var "MIDPNT3" $$unsorted)) % 20.31/20.57 (define @t140 () (tptp.perp @t3 @t2 @t139 @t6)) % 20.31/20.57 (define @t141 () (tptp.midp @t139 @t3 @t2)) % 20.31/20.57 (define @t142 () (@var "MIDPNT2" $$unsorted)) % 20.31/20.57 (define @t143 () (tptp.perp @t1 @t2 @t142 @t6)) % 20.31/20.57 (define @t144 () (tptp.midp @t142 @t1 @t2)) % 20.31/20.57 (define @t145 () (@var "MIDPNT1" $$unsorted)) % 20.31/20.57 (define @t146 () (tptp.perp @t1 @t3 @t145 @t6)) % 20.31/20.57 (define @t147 () (tptp.midp @t145 @t1 @t3)) % 20.31/20.57 (define @t148 () (and @t147 @t146 @t144 @t143 @t141 @t140 @t138 @t137 @t132 @t136 @t134)) % 20.31/20.57 (define @t149 () (@list @t3 @t1 @t2 @t6 @t12 @t11 @t51 @t145 @t142 @t139 @t135)) % 20.31/20.57 (define @t150 () (forall @t149 (=> @t148 @t133))) % 20.31/20.57 (define @t151 () (not @t150)) % 20.31/20.57 (define @t152 () (not @t69)) % 20.31/20.57 (define @t153 () (not @t62)) % 20.31/20.57 (define @t154 () (not @t134)) % 20.31/20.57 (define @t155 () (not @t136)) % 20.31/20.57 (define @t156 () (not @t132)) % 20.31/20.57 (define @t157 () (not @t137)) % 20.31/20.57 (define @t158 () (not @t138)) % 20.31/20.57 (define @t159 () (not @t140)) % 20.31/20.57 (define @t160 () (not @t141)) % 20.31/20.57 (define @t161 () (not @t143)) % 20.31/20.57 (define @t162 () (not @t144)) % 20.31/20.57 (define @t163 () (not @t146)) % 20.31/20.57 (define @t164 () (not @t147)) % 20.31/20.57 (define @t165 () (or @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t133)) % 20.31/20.57 (define @t166 () (forall @t149 @t165)) % 20.31/20.57 (define @t167 () (@quantifiers_skolemize @t166 5)) % 20.31/20.57 (define @t168 () (@quantifiers_skolemize @t166 0)) % 20.31/20.57 (define @t169 () (@list @t168 @t168 @t168 @t167)) % 20.31/20.57 (define @t170 () (not @t14)) % 20.31/20.57 (define @t171 () (@quantifiers_skolemize @t166 1)) % 20.31/20.57 (define @t172 () (not @t104)) % 20.31/20.57 (define @t173 () (not @t28)) % 20.31/20.57 (define @t174 () (@quantifiers_skolemize @t166 7)) % 20.31/20.57 (define @t175 () (or @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154)) % 20.31/20.57 (define @t176 () (tptp.midp @t174 @t171 @t168)) % 20.31/20.57 (define @t177 () (@quantifiers_skolemize @t166 2)) % 20.31/20.57 (define @t178 () (@quantifiers_skolemize @t166 6)) % 20.31/20.57 (define @t179 () (tptp.para @t167 @t178 @t168 @t177)) % 20.31/20.57 (define @t180 () (@quantifiers_skolemize @t166 3)) % 20.31/20.57 (define @t181 () (tptp.perp @t180 @t167 @t167 @t178)) % 20.31/20.57 (define @t182 () (not @t181)) % 20.31/20.57 (define @t183 () (@quantifiers_skolemize @t166 4)) % 20.31/20.57 (define @t184 () (@quantifiers_skolemize @t166 9)) % 20.31/20.57 (define @t185 () (@quantifiers_skolemize @t166 8)) % 20.31/20.57 (define @t186 () (not @t176)) % 20.31/20.57 (define @t187 () (or @t186 (not (tptp.perp @t171 @t168 @t174 @t180)) (not (tptp.midp @t185 @t171 @t177)) (not (tptp.perp @t171 @t177 @t185 @t180)) (not (tptp.midp @t184 @t168 @t177)) (not (tptp.perp @t168 @t177 @t184 @t180)) (not (tptp.coll @t183 @t168 @t177)) (not (tptp.eqangle @t177 @t171 @t171 @t183 @t183 @t171 @t171 @t168)) (not (tptp.coll @t171 @t183 @t167)) (not (tptp.circle @t180 @t171 @t167 (@quantifiers_skolemize @t166 10))) @t182 @t179)) % 20.31/20.57 (define @t188 () (@list true)) % 20.31/20.57 (define @t189 () (@list @t187)) % 20.31/20.57 (define @t190 () (tptp.para @t171 @t171 @t168 @t168)) % 20.31/20.57 (define @t191 () (or @t186 @t186 @t190)) % 20.31/20.57 (define @t192 () (@list false false)) % 20.31/20.57 (define @t193 () (tptp.para @t168 @t168 @t171 @t171)) % 20.31/20.57 (define @t194 () (not @t190)) % 20.31/20.57 (define @t195 () (or @t194 @t193)) % 20.31/20.57 (define @t196 () (tptp.para @t168 @t168 @t168 @t168)) % 20.31/20.57 (define @t197 () (not @t193)) % 20.31/20.57 (define @t198 () (or @t197 @t194 @t196)) % 20.31/20.57 (define @t199 () (@list false false false)) % 20.31/20.57 (define @t200 () (tptp.eqangle @t168 @t168 @t167 @t168 @t168 @t168 @t167 @t168)) % 20.31/20.57 (define @t201 () (not @t196)) % 20.31/20.57 (define @t202 () (or @t201 @t200)) % 20.31/20.57 (define @t203 () (tptp.eqangle @t168 @t168 @t168 @t168 @t167 @t168 @t167 @t168)) % 20.31/20.57 (define @t204 () (not @t200)) % 20.31/20.57 (define @t205 () (or @t204 @t203)) % 20.31/20.57 (define @t206 () (tptp.cyclic @t168 @t168 @t167 @t168)) % 20.31/20.57 (define @t207 () (tptp.cyclic @t168 @t168 @t168 @t167)) % 20.31/20.57 (define @t208 () (not @t207)) % 20.31/20.57 (define @t209 () (or @t208 @t206)) % 20.31/20.57 (define @t210 () (not @t39)) % 20.31/20.57 (define @t211 () (not @t34)) % 20.31/20.57 (define @t212 () (tptp.cyclic @t168 @t168 @t167 @t167)) % 20.31/20.57 (define @t213 () (or @t208 @t208 @t212)) % 20.31/20.57 (define @t214 () (tptp.cyclic @t168 @t167 @t168 @t168)) % 20.31/20.57 (define @t215 () (not @t206)) % 20.31/20.57 (define @t216 () (or @t215 @t215 @t214)) % 20.31/20.57 (define @t217 () (tptp.cyclic @t168 @t167 @t168 @t167)) % 20.31/20.57 (define @t218 () (not @t212)) % 20.31/20.57 (define @t219 () (or @t215 @t218 @t217)) % 20.31/20.57 (define @t220 () (tptp.eqangle @t168 @t168 @t168 @t167 @t168 @t168 @t168 @t167)) % 20.31/20.57 (define @t221 () (or @t201 @t220)) % 20.31/20.57 (define @t222 () (not @t95)) % 20.31/20.57 (define @t223 () (not @t96)) % 20.31/20.57 (define @t224 () (not @t21)) % 20.31/20.57 (define @t225 () (@list @t168 @t168 @t168 @t177)) % 20.31/20.57 (define @t226 () (tptp.eqangle @t168 @t168 @t177 @t168 @t168 @t168 @t177 @t168)) % 20.31/20.57 (define @t227 () (or @t201 @t226)) % 20.31/20.57 (define @t228 () (tptp.eqangle @t168 @t168 @t168 @t168 @t177 @t168 @t177 @t168)) % 20.31/20.57 (define @t229 () (not @t226)) % 20.31/20.57 (define @t230 () (or @t229 @t228)) % 20.31/20.57 (define @t231 () (tptp.cyclic @t168 @t168 @t168 @t177)) % 20.31/20.57 (define @t232 () (tptp.coll @t168 @t177 @t168)) % 20.31/20.57 (define @t233 () (not @t228)) % 20.31/20.57 (define @t234 () (or @t233 @t232 @t231)) % 20.31/20.57 (define @t235 () (not @t232)) % 20.31/20.57 (define @t236 () (or @t233 @t235 @t231)) % 20.31/20.57 (define @t237 () (@list false false false false false)) % 20.31/20.57 (define @t238 () (not @t73)) % 20.31/20.57 (define @t239 () (not @t74)) % 20.31/20.57 (define @t240 () (not @t75)) % 20.31/20.57 (define @t241 () (not @t76)) % 20.31/20.57 (define @t242 () (or @t241 @t240 @t239 @t238)) % 20.31/20.57 (define @t243 () (@list @t168 @t168 @t168 @t168 @t168 @t168)) % 20.31/20.57 (define @t244 () (tptp.eqangle @t168 @t168 @t168 @t168 @t168 @t168 @t168 @t168)) % 20.31/20.57 (define @t245 () (or @t201 @t244)) % 20.31/20.57 (define @t246 () (@list @t168 @t168 @t168 @t168)) % 20.31/20.57 (define @t247 () (tptp.coll @t168 @t168 @t168)) % 20.31/20.57 (define @t248 () (or @t201 @t247)) % 20.31/20.57 (define @t249 () (tptp.cyclic @t168 @t168 @t168 @t168)) % 20.31/20.57 (define @t250 () (not @t247)) % 20.31/20.57 (define @t251 () (not @t244)) % 20.31/20.57 (define @t252 () (or @t251 @t250 @t249)) % 20.31/20.57 (define @t253 () (tptp.cong @t168 @t168 @t168 @t168)) % 20.31/20.57 (define @t254 () (not @t249)) % 20.31/20.57 (define @t255 () (or @t254 @t254 @t254 @t251 @t253)) % 20.31/20.57 (define @t256 () (not @t63)) % 20.31/20.57 (define @t257 () (or @t223 @t222 @t256)) % 20.31/20.57 (define @t258 () (tptp.perp @t168 @t168 @t168 @t177)) % 20.31/20.57 (define @t259 () (not @t231)) % 20.31/20.57 (define @t260 () (tptp.cong @t168 @t177 @t168 @t177)) % 20.31/20.57 (define @t261 () (not @t260)) % 20.31/20.57 (define @t262 () (not @t253)) % 20.31/20.57 (define @t263 () (or @t262 @t261 @t259 @t258)) % 20.31/20.57 (define @t264 () (tptp.cyclic @t168 @t168 @t177 @t168)) % 20.31/20.57 (define @t265 () (or @t259 @t264)) % 20.31/20.57 (define @t266 () (tptp.cyclic @t168 @t168 @t177 @t177)) % 20.31/20.57 (define @t267 () (or @t259 @t259 @t266)) % 20.31/20.57 (define @t268 () (tptp.cyclic @t168 @t177 @t168 @t168)) % 20.31/20.57 (define @t269 () (not @t264)) % 20.31/20.57 (define @t270 () (or @t269 @t269 @t268)) % 20.31/20.57 (define @t271 () (tptp.cyclic @t168 @t177 @t168 @t177)) % 20.31/20.57 (define @t272 () (not @t266)) % 20.31/20.57 (define @t273 () (or @t269 @t272 @t271)) % 20.31/20.57 (define @t274 () (tptp.eqangle @t168 @t168 @t168 @t177 @t168 @t168 @t168 @t177)) % 20.31/20.57 (define @t275 () (or @t201 @t274)) % 20.31/20.57 (define @t276 () (not @t274)) % 20.31/20.57 (define @t277 () (not @t268)) % 20.31/20.57 (define @t278 () (not @t271)) % 20.31/20.57 (define @t279 () (or @t277 @t278 @t277 @t276 @t260)) % 20.31/20.57 (define @t280 () (@list false)) % 20.31/20.57 (define @t281 () (not @t258)) % 20.31/20.57 (define @t282 () (tptp.perp @t167 @t178 @t168 @t168)) % 20.31/20.57 (define @t283 () (not @t282)) % 20.31/20.57 (define @t284 () (or @t283 @t281 @t179)) % 20.31/20.57 (define @t285 () (@list true false false)) % 20.31/20.57 (define @t286 () (tptp.perp @t168 @t168 @t167 @t178)) % 20.31/20.57 (define @t287 () (not @t286)) % 20.31/20.57 (define @t288 () (or @t287 @t282)) % 20.31/20.57 (define @t289 () (tptp.para @t168 @t168 @t180 @t167)) % 20.31/20.57 (define @t290 () (not @t289)) % 20.31/20.57 (define @t291 () (or @t290 @t182 @t286)) % 20.31/20.57 (define @t292 () (@list false true false)) % 20.31/20.57 (define @t293 () (tptp.perp @t168 @t168 @t168 @t168)) % 20.31/20.57 (define @t294 () (or @t262 @t262 @t293)) % 20.31/20.57 (define @t295 () (tptp.perp @t168 @t168 @t180 @t167)) % 20.31/20.57 (define @t296 () (not @t295)) % 20.31/20.57 (define @t297 () (not @t293)) % 20.31/20.57 (define @t298 () (or @t297 @t296 @t289)) % 20.31/20.57 (define @t299 () (@list @t168 @t168 @t168 @t180)) % 20.31/20.57 (define @t300 () (tptp.eqangle @t168 @t168 @t180 @t168 @t168 @t168 @t180 @t168)) % 20.31/20.57 (define @t301 () (or @t201 @t300)) % 20.31/20.57 (define @t302 () (tptp.eqangle @t168 @t168 @t168 @t168 @t180 @t168 @t180 @t168)) % 20.31/20.57 (define @t303 () (not @t300)) % 20.31/20.57 (define @t304 () (or @t303 @t302)) % 20.31/20.57 (define @t305 () (tptp.cyclic @t168 @t168 @t168 @t180)) % 20.31/20.57 (define @t306 () (tptp.coll @t168 @t180 @t168)) % 20.31/20.57 (define @t307 () (not @t302)) % 20.31/20.57 (define @t308 () (or @t307 @t306 @t305)) % 20.31/20.57 (define @t309 () (not @t306)) % 20.31/20.57 (define @t310 () (or @t307 @t309 @t305)) % 20.31/20.57 (define @t311 () (tptp.cyclic @t168 @t168 @t180 @t168)) % 20.31/20.57 (define @t312 () (not @t305)) % 20.31/20.57 (define @t313 () (or @t312 @t311)) % 20.31/20.57 (define @t314 () (tptp.cyclic @t168 @t168 @t180 @t180)) % 20.31/20.57 (define @t315 () (or @t312 @t312 @t314)) % 20.31/20.57 (define @t316 () (tptp.cyclic @t168 @t180 @t168 @t168)) % 20.31/20.57 (define @t317 () (not @t311)) % 20.31/20.57 (define @t318 () (or @t317 @t317 @t316)) % 20.31/20.57 (define @t319 () (tptp.cyclic @t168 @t180 @t168 @t180)) % 20.31/20.57 (define @t320 () (not @t314)) % 20.31/20.57 (define @t321 () (or @t317 @t320 @t319)) % 20.31/20.57 (define @t322 () (tptp.eqangle @t168 @t168 @t168 @t180 @t168 @t168 @t168 @t180)) % 20.31/20.57 (define @t323 () (or @t201 @t322)) % 20.31/20.57 (define @t324 () (tptp.cong @t168 @t180 @t168 @t180)) % 20.31/20.57 (define @t325 () (not @t322)) % 20.31/20.57 (define @t326 () (not @t316)) % 20.31/20.57 (define @t327 () (not @t319)) % 20.31/20.57 (define @t328 () (or @t326 @t327 @t326 @t325 @t324)) % 20.31/20.57 (define @t329 () (tptp.cong @t168 @t167 @t168 @t167)) % 20.31/20.57 (define @t330 () (not @t329)) % 20.31/20.57 (define @t331 () (not @t324)) % 20.31/20.57 (define @t332 () (or @t331 @t330 @t295)) % 20.31/20.57 (define @t333 () (not @t220)) % 20.31/20.57 (define @t334 () (not @t214)) % 20.31/20.57 (define @t335 () (not @t217)) % 20.31/20.57 (define @t336 () (or @t334 @t335 @t334 @t333 @t329)) % 20.31/20.57 (define @t337 () (tptp.coll @t168 @t167 @t168)) % 20.31/20.57 (define @t338 () (not @t203)) % 20.31/20.57 (define @t339 () (or @t338 @t337 @t207)) % 20.31/20.57 (define @t340 () (not @t337)) % 20.31/20.57 (define @t341 () (or @t338 @t340 @t207)) % 20.31/20.57 (assume @p1 (forall @t5 (=> @t4 (tptp.coll @t3 @t2 @t1)))) % 20.31/20.57 (assume @p2 (forall @t5 (=> @t4 (tptp.coll @t1 @t3 @t2)))) % 20.31/20.57 (assume @p3 (forall @t7 (=> (and @t4 (tptp.coll @t3 @t1 @t6)) (tptp.coll @t2 @t6 @t3)))) % 20.31/20.57 (assume @p4 (forall @t7 (=> @t8 (tptp.para @t3 @t1 @t6 @t2)))) % 20.31/20.57 (assume @p5 @t10) % 20.31/20.57 (assume @p6 @t17) % 20.31/20.57 (assume @p7 (forall @t7 (=> @t18 (tptp.perp @t3 @t1 @t6 @t2)))) % 20.31/20.57 (assume @p8 @t20) % 20.31/20.57 (assume @p9 @t23) % 20.31/20.57 (assume @p10 @t26) % 20.31/20.57 (assume @p11 (forall (@list @t3 @t1 @t27) (=> (tptp.midp @t27 @t1 @t3) @t28))) % 20.31/20.57 (assume @p12 (forall @t33 (=> (and @t32 @t31) @t30))) % 20.31/20.57 (assume @p13 (forall @t35 (=> (and @t32 @t31 (tptp.cong @t29 @t3 @t29 @t6)) @t34))) % 20.31/20.57 (assume @p14 @t37) % 20.31/20.57 (assume @p15 (forall @t7 (=> @t34 (tptp.cyclic @t3 @t2 @t1 @t6)))) % 20.31/20.57 (assume @p16 (forall @t7 (=> @t34 (tptp.cyclic @t1 @t3 @t2 @t6)))) % 20.31/20.57 (assume @p17 @t41) % 20.31/20.57 (assume @p18 (forall @t47 (=> @t46 (tptp.eqangle @t1 @t3 @t2 @t6 @t45 @t44 @t43 @t42)))) % 20.31/20.57 (assume @p19 (forall @t47 (=> @t46 (tptp.eqangle @t2 @t6 @t3 @t1 @t43 @t42 @t45 @t44)))) % 20.31/20.57 (assume @p20 (forall @t47 (=> @t46 (tptp.eqangle @t45 @t44 @t43 @t42 @t3 @t1 @t2 @t6)))) % 20.31/20.57 (assume @p21 @t49) % 20.31/20.57 (assume @p22 (forall (@list @t3 @t1 @t2 @t6 @t45 @t44 @t43 @t42 @t12 @t11 @t51 @t50) (=> (and @t46 (tptp.eqangle @t45 @t44 @t43 @t42 @t12 @t11 @t51 @t50)) (tptp.eqangle @t3 @t1 @t2 @t6 @t12 @t11 @t51 @t50)))) % 20.31/20.57 (assume @p23 (forall @t7 (=> @t52 (tptp.cong @t3 @t1 @t6 @t2)))) % 20.31/20.57 (assume @p24 (forall @t7 (=> @t52 (tptp.cong @t2 @t6 @t3 @t1)))) % 20.31/20.57 (assume @p25 (forall @t16 (=> (and @t52 (tptp.cong @t2 @t6 @t12 @t11)) (tptp.cong @t3 @t1 @t12 @t11)))) % 20.31/20.57 (assume @p26 (forall @t47 (=> @t53 (tptp.eqratio @t1 @t3 @t2 @t6 @t45 @t44 @t43 @t42)))) % 20.31/20.57 (assume @p27 (forall @t47 (=> @t53 (tptp.eqratio @t2 @t6 @t3 @t1 @t43 @t42 @t45 @t44)))) % 20.31/20.57 (assume @p28 (forall @t47 (=> @t53 (tptp.eqratio @t45 @t44 @t43 @t42 @t3 @t1 @t2 @t6)))) % 20.31/20.57 (assume @p29 (forall @t47 (=> @t53 (tptp.eqratio @t3 @t1 @t45 @t44 @t2 @t6 @t43 @t42)))) % 20.31/20.57 (assume @p30 (forall (@list @t3 @t1 @t2 @t6 @t12 @t11 @t51 @t50 @t45 @t44 @t43 @t42) (=> (and @t53 (tptp.eqratio @t45 @t44 @t43 @t42 @t12 @t11 @t51 @t50)) (tptp.eqratio @t3 @t1 @t2 @t6 @t12 @t11 @t51 @t50)))) % 20.31/20.57 (assume @p31 (forall @t56 (=> (tptp.simtri @t3 @t2 @t1 @t45 @t54 @t44) @t55))) % 20.31/20.57 (assume @p32 (forall @t56 (=> (tptp.simtri @t1 @t3 @t2 @t44 @t45 @t54) @t55))) % 20.31/20.57 (assume @p33 (forall @t56 (=> (tptp.simtri @t45 @t44 @t54 @t3 @t1 @t2) @t55))) % 20.31/20.57 (assume @p34 (forall @t57 (=> (and (tptp.simtri @t3 @t1 @t2 @t12 @t11 @t51) (tptp.simtri @t12 @t11 @t51 @t45 @t44 @t54)) @t55))) % 20.31/20.57 (assume @p35 (forall @t56 (=> (tptp.contri @t3 @t2 @t1 @t45 @t54 @t44) @t58))) % 20.31/20.57 (assume @p36 (forall @t56 (=> (tptp.contri @t1 @t3 @t2 @t44 @t45 @t54) @t58))) % 20.31/20.57 (assume @p37 (forall @t56 (=> (tptp.contri @t45 @t44 @t54 @t3 @t1 @t2) @t58))) % 20.31/20.57 (assume @p38 (forall @t57 (=> (and (tptp.contri @t3 @t1 @t2 @t12 @t11 @t51) (tptp.contri @t12 @t11 @t51 @t45 @t44 @t54)) @t58))) % 20.31/20.57 (assume @p39 (forall @t60 (=> @t59 @t8))) % 20.31/20.57 (assume @p40 @t61) % 20.31/20.57 (assume @p41 (forall @t64 (=> @t63 @t62))) % 20.31/20.57 (assume @p42 @t68) % 20.31/20.57 (assume @p43 @t71) % 20.31/20.57 (assume @p44 @t78) % 20.31/20.57 (assume @p45 (forall @t82 (=> (and @t81 @t80) @t79))) % 20.31/20.57 (assume @p46 (forall @t82 (=> (and @t81 @t79 (tptp.coll @t11 @t3 @t2)) @t80))) % 20.31/20.57 (assume @p47 (forall @t84 (=> @t32 @t83))) % 20.31/20.57 (assume @p48 (forall @t84 (=> (and @t83 (not (tptp.coll @t29 @t3 @t1))) @t32))) % 20.31/20.57 (assume @p49 (forall @t88 (=> (and @t30 @t87) @t86))) % 20.31/20.57 (assume @p50 (forall @t88 (=> (and @t30 @t86) @t87))) % 20.31/20.57 (assume @p51 (forall @t91 (=> (and @t30 @t90) @t89))) % 20.31/20.57 (assume @p52 (forall @t91 (=> (and @t30 (tptp.coll @t27 @t1 @t2) @t89) @t90))) % 20.31/20.57 (assume @p53 (forall (@list @t3 @t1 @t2 @t27) (=> (and @t92 (tptp.midp @t27 @t3 @t2)) (tptp.cong @t3 @t27 @t1 @t27)))) % 20.31/20.57 (assume @p54 (forall @t33 (=> (and @t30 @t93) @t92))) % 20.31/20.57 (assume @p55 (forall @t7 (=> (and @t34 @t8) (tptp.eqangle @t3 @t6 @t2 @t6 @t2 @t6 @t2 @t1)))) % 20.31/20.57 (assume @p56 (forall (@list @t3 @t1 @t27 @t29) (=> (and @t28 (tptp.perp @t29 @t27 @t3 @t1)) @t32))) % 20.31/20.57 (assume @p57 @t98) % 20.31/20.57 (assume @p58 @t101) % 20.31/20.57 (assume @p59 (forall @t56 (=> (and @t102 (tptp.eqangle @t3 @t2 @t1 @t2 @t45 @t54 @t44 @t54) (not @t4)) @t55))) % 20.31/20.57 (assume @p60 (forall @t56 (=> @t55 (tptp.eqratio @t3 @t1 @t3 @t2 @t45 @t44 @t45 @t54)))) % 20.31/20.57 (assume @p61 (forall @t56 (=> @t55 @t102))) % 20.31/20.57 (assume @p62 (forall @t56 (=> (and @t55 @t72) @t58))) % 20.31/20.57 (assume @p63 (forall @t56 (=> @t58 @t72))) % 20.31/20.57 (assume @p64 @t107) % 20.31/20.57 (assume @p65 (forall @t106 (=> (and @t28 @t103 (tptp.para @t3 @t6 @t1 @t2)) @t104))) % 20.31/20.57 (assume @p66 (forall @t35 (=> (and @t8 @t93 (tptp.coll @t29 @t1 @t6)) (tptp.eqratio @t29 @t3 @t3 @t2 @t29 @t1 @t1 @t6)))) % 20.31/20.57 (assume @p67 @t109) % 20.31/20.57 (assume @p68 (forall @t5 (=> (and @t111 @t4) @t110))) % 20.31/20.57 (assume @p69 (forall @t5 (=> @t110 @t111))) % 20.31/20.57 (assume @p70 (forall @t5 (=> @t110 @t4))) % 20.31/20.57 (assume @p71 (forall @t115 (=> @t114 (tptp.eqratio @t27 @t3 @t3 @t1 @t112 @t2 @t2 @t6)))) % 20.31/20.57 (assume @p72 (forall @t7 (=> (and @t117 @t116) @t18))) % 20.31/20.57 (assume @p73 (forall @t7 (=> (and @t117 @t118) @t8))) % 20.31/20.57 (assume @p74 (forall @t47 (=> (and @t46 (tptp.para @t45 @t44 @t43 @t42)) @t8))) % 20.31/20.57 (assume @p75 (forall @t47 (=> (and @t46 (tptp.perp @t45 @t44 @t43 @t42)) @t18))) % 20.31/20.57 (assume @p76 (forall @t47 (=> (and @t53 (tptp.cong @t45 @t44 @t43 @t42)) @t52))) % 20.31/20.57 (assume @p77 (forall (@list @t3 @t27 @t29 @t85) (exists (@list @t1) (=> (and (tptp.perp @t29 @t27 @t27 @t3) (tptp.eqangle @t85 @t29 @t27 @t29 @t27 @t29 @t3 @t29)) (and @t119 (tptp.coll @t1 @t29 @t85)))))) % 20.31/20.57 (assume @p78 (forall @t123 (exists @t122 (=> (and @t32 @t121) @t120)))) % 20.31/20.57 (assume @p79 (forall @t123 (exists @t122 (=> (and @t124 @t121) @t120)))) % 20.31/20.57 (assume @p80 (forall @t123 (exists @t122 (=> (and @t124 @t32) @t120)))) % 20.31/20.57 (assume @p81 (forall (@list @t3 @t1 @t45 @t85 @t125) (exists (@list @t44) (=> (and (tptp.eqangle @t3 @t45 @t1 @t45 @t3 @t85 @t1 @t125) (not (tptp.coll @t3 @t1 @t45))) (and (tptp.eqangle @t3 @t45 @t1 @t45 @t3 @t44 @t1 @t44) (tptp.cyclic @t85 @t1 @t45 @t44)))))) % 20.31/20.57 (assume @p82 (forall @t115 (exists @t126 (=> @t114 (and (tptp.midp @t45 @t3 @t6) (tptp.para @t45 @t27 @t1 @t6) (tptp.para @t45 @t112 @t3 @t2)))))) % 20.31/20.57 (assume @p83 (forall (@list @t3 @t1 @t2 @t6 @t27 @t112 @t44) (exists @t126 (=> (and @t28 @t113 (tptp.coll @t2 @t3 @t1) (tptp.coll @t6 @t3 @t1)) (tptp.midp @t45 @t3 @t44))))) % 20.31/20.57 (assume @p84 (forall (@list @t3 @t1 @t27 @t45 @t44 @t54 @t27) (exists (@list @t85) (=> (and @t28 (tptp.para @t3 @t45 @t54 @t27) (tptp.para @t3 @t45 @t1 @t44) @t127) (and (tptp.coll @t85 @t3 @t44) (tptp.coll @t85 @t27 @t54)))))) % 20.31/20.57 (assume @p85 (forall @t35 (exists @t126 (=> (and (tptp.cong @t29 @t2 @t29 @t6) (tptp.perp @t3 @t1 @t1 @t29)) (and (tptp.cong @t29 @t2 @t29 @t45) (tptp.para @t45 @t2 @t3 @t1) (tptp.cong @t1 @t2 @t1 @t45)))))) % 20.31/20.57 (assume @p86 (forall (@list @t3 @t1 @t2 @t50) (exists @t128 (=> (and (tptp.perp @t3 @t50 @t1 @t2) (tptp.perp @t1 @t50 @t3 @t2)) (and (tptp.coll @t45 @t2 @t1) (tptp.perp @t3 @t45 @t2 @t1) (tptp.coll @t44 @t2 @t3) (tptp.perp @t1 @t44 @t2 @t3)))))) % 20.31/20.57 (assume @p87 (forall @t33 (exists @t126 (=> @t30 (tptp.perp @t45 @t3 @t3 @t29))))) % 20.31/20.57 (assume @p88 (forall @t115 (exists @t128 (=> (and (tptp.circle @t27 @t3 @t1 @t2) (tptp.cong @t27 @t3 @t27 @t6) (tptp.cong @t112 @t3 @t112 @t1) (not (= @t27 @t112))) (and @t129 (tptp.cong @t45 @t112 @t112 @t3) (tptp.coll @t44 @t1 @t6) (tptp.cong @t44 @t112 @t112 @t3)))))) % 20.31/20.57 (assume @p89 (forall @t106 (exists @t130 (=> (and @t34 @t8 @t28) @t30)))) % 20.31/20.57 (assume @p90 (forall @t7 (exists @t130 (=> (and @t131 @t34) @t30)))) % 20.31/20.57 (assume @p91 (forall @t82 (exists @t126 (=> (and @t131 @t132) (and (tptp.coll @t45 @t12 @t11) (tptp.perp @t45 @t3 @t12 @t11)))))) % 20.31/20.57 (assume @p92 (forall @t106 (exists @t126 (=> (and (tptp.perp @t3 @t1 @t3 @t2) (tptp.perp @t2 @t3 @t2 @t6) (tptp.midp @t27 @t1 @t6)) (tptp.midp @t45 @t3 @t2))))) % 20.31/20.57 (assume @p93 (forall @t84 (exists (@list @t2) (=> (and @t32 (tptp.perp @t3 @t29 @t29 @t1)) (and (tptp.coll @t3 @t29 @t2) @t31))))) % 20.31/20.57 (assume @p94 (forall @t60 (exists (@list @t54) (=> (and @t8 @t129 (tptp.coll @t45 @t1 @t6) (tptp.coll @t44 @t3 @t1)) (and @t127 (tptp.coll @t54 @t2 @t6)))))) % 20.31/20.57 (assume @p95 @t151) % 20.31/20.57 (assume @p96 true) % 20.31/20.57 (step @p97 :rule aci_norm :args ((= (or (or @t153 @t152) @t63) (or @t153 @t152 @t63)))) % 20.31/20.57 (step @p98 :rule refl :args (@t63)) % 20.31/20.57 (step @p99 :rule bool-and-de-morgan :args (@t62 @t69 true)) % 20.31/20.57 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t70) @t63))) % 20.31/20.57 (step @p101 :rule trans :premises (@p100 @p97)) % 20.31/20.57 (step @p102 :rule bool-impl-elim :args (@t70 @t63)) % 20.31/20.57 (step @p103 :rule trans :premises (@p102 @p101)) % 20.31/20.57 (step @p104 :rule cong :premises (@p103) :args (@t71)) % 20.31/20.57 (step @p105 :rule eq_resolve :premises (@p43 @p104)) % 20.31/20.57 (step @p106 :rule instantiate :premises (@p105) :args (@t169)) % 20.31/20.57 (step @p107 :rule bool-impl-elim :args (@t46 @t48)) % 20.31/20.57 (step @p108 :rule cong :premises (@p107) :args (@t49)) % 20.31/20.57 (step @p109 :rule eq_resolve :premises (@p21 @p108)) % 20.31/20.57 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t168 @t168 @t167 @t168 @t168 @t168 @t167 @t168))) % 20.31/20.57 (step @p111 :rule bool-impl-elim :args (@t8 @t59)) % 20.31/20.57 (step @p112 :rule cong :premises (@p111) :args (@t61)) % 20.31/20.57 (step @p113 :rule eq_resolve :premises (@p40 @p112)) % 20.31/20.57 (step @p114 :rule instantiate :premises (@p113) :args ((@list @t168 @t168 @t168 @t168 @t167 @t168))) % 20.31/20.57 (step @p115 :rule aci_norm :args ((= (or (or @t116 @t170) @t13) (or @t116 @t170 @t13)))) % 20.31/20.57 (step @p116 :rule refl :args (@t13)) % 20.31/20.57 (step @p117 :rule bool-and-de-morgan :args (@t8 @t14 true)) % 20.31/20.57 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t15) @t13))) % 20.31/20.57 (step @p119 :rule trans :premises (@p118 @p115)) % 20.31/20.57 (step @p120 :rule bool-impl-elim :args (@t15 @t13)) % 20.31/20.57 (step @p121 :rule trans :premises (@p120 @p119)) % 20.31/20.57 (step @p122 :rule cong :premises (@p121) :args (@t17)) % 20.31/20.57 (step @p123 :rule eq_resolve :premises (@p6 @p122)) % 20.31/20.57 (step @p124 :rule instantiate :premises (@p123) :args ((@list @t168 @t168 @t171 @t171 @t168 @t168))) % 20.31/20.57 (step @p125 :rule bool-impl-elim :args (@t8 @t9)) % 20.31/20.57 (step @p126 :rule cong :premises (@p125) :args (@t10)) % 20.31/20.57 (step @p127 :rule eq_resolve :premises (@p5 @p126)) % 20.31/20.57 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t171 @t171 @t168 @t168))) % 20.31/20.57 (step @p129 :rule aci_norm :args ((= (or (or @t173 @t172) @t103) (or @t173 @t172 @t103)))) % 20.31/20.57 (step @p130 :rule refl :args (@t103)) % 20.31/20.57 (step @p131 :rule bool-and-de-morgan :args (@t28 @t104 true)) % 20.31/20.57 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t105) @t103))) % 20.31/20.57 (step @p133 :rule trans :premises (@p132 @p129)) % 20.31/20.57 (step @p134 :rule bool-impl-elim :args (@t105 @t103)) % 20.31/20.57 (step @p135 :rule trans :premises (@p134 @p133)) % 20.31/20.57 (step @p136 :rule cong :premises (@p135) :args (@t107)) % 20.31/20.57 (step @p137 :rule eq_resolve :premises (@p64 @p136)) % 20.31/20.57 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t171 @t168 @t171 @t168 @t174))) % 20.31/20.57 (step @p139 :rule aci_norm :args ((= (or @t175 @t133) @t165))) % 20.31/20.57 (step @p140 :rule refl :args (@t133)) % 20.31/20.57 (step @p141 :rule aci_norm :args ((= (or @t164 (or @t163 (or @t162 (or @t161 (or @t160 (or @t159 (or @t158 (or @t157 (or @t156 (or @t155 @t154)))))))))) @t175))) % 20.31/20.57 (step @p142 :rule bool-and-de-morgan :args (@t136 @t134 true)) % 20.31/20.57 (step @p143 :rule refl :args (@t156)) % 20.31/20.57 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t156 (not (and @t136 @t134))))) % 20.31/20.57 (step @p145 :rule bool-and-de-morgan :args (@t132 @t136 (and @t134))) % 20.31/20.57 (step @p146 :rule trans :premises (@p145 @p144)) % 20.31/20.57 (step @p147 :rule refl :args (@t157)) % 20.31/20.57 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t157 (not (and @t132 @t136 @t134))))) % 20.31/20.57 (step @p149 :rule bool-and-de-morgan :args (@t137 @t132 (and @t136 @t134))) % 20.31/20.57 (step @p150 :rule trans :premises (@p149 @p148)) % 20.31/20.57 (step @p151 :rule refl :args (@t158)) % 20.31/20.57 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t158 (not (and @t137 @t132 @t136 @t134))))) % 20.31/20.57 (step @p153 :rule bool-and-de-morgan :args (@t138 @t137 (and @t132 @t136 @t134))) % 20.31/20.57 (step @p154 :rule trans :premises (@p153 @p152)) % 20.31/20.57 (step @p155 :rule refl :args (@t159)) % 20.31/20.57 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t159 (not (and @t138 @t137 @t132 @t136 @t134))))) % 20.31/20.57 (step @p157 :rule bool-and-de-morgan :args (@t140 @t138 (and @t137 @t132 @t136 @t134))) % 20.31/20.57 (step @p158 :rule trans :premises (@p157 @p156)) % 20.31/20.57 (step @p159 :rule refl :args (@t160)) % 20.31/20.57 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t160 (not (and @t140 @t138 @t137 @t132 @t136 @t134))))) % 20.31/20.57 (step @p161 :rule bool-and-de-morgan :args (@t141 @t140 (and @t138 @t137 @t132 @t136 @t134))) % 20.31/20.57 (step @p162 :rule trans :premises (@p161 @p160)) % 20.31/20.57 (step @p163 :rule refl :args (@t161)) % 20.31/20.57 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t161 (not (and @t141 @t140 @t138 @t137 @t132 @t136 @t134))))) % 20.31/20.57 (step @p165 :rule bool-and-de-morgan :args (@t143 @t141 (and @t140 @t138 @t137 @t132 @t136 @t134))) % 20.31/20.57 (step @p166 :rule trans :premises (@p165 @p164)) % 20.31/20.57 (step @p167 :rule refl :args (@t162)) % 20.31/20.57 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t162 (not (and @t143 @t141 @t140 @t138 @t137 @t132 @t136 @t134))))) % 20.31/20.57 (step @p169 :rule bool-and-de-morgan :args (@t144 @t143 (and @t141 @t140 @t138 @t137 @t132 @t136 @t134))) % 20.31/20.57 (step @p170 :rule trans :premises (@p169 @p168)) % 20.31/20.57 (step @p171 :rule refl :args (@t163)) % 20.31/20.57 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t163 (not (and @t144 @t143 @t141 @t140 @t138 @t137 @t132 @t136 @t134))))) % 20.31/20.57 (step @p173 :rule bool-and-de-morgan :args (@t146 @t144 (and @t143 @t141 @t140 @t138 @t137 @t132 @t136 @t134))) % 20.31/20.57 (step @p174 :rule trans :premises (@p173 @p172)) % 20.31/20.57 (step @p175 :rule refl :args (@t164)) % 20.31/20.57 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t164 (not (and @t146 @t144 @t143 @t141 @t140 @t138 @t137 @t132 @t136 @t134))))) % 20.31/20.57 (step @p177 :rule bool-and-de-morgan :args (@t147 @t146 (and @t144 @t143 @t141 @t140 @t138 @t137 @t132 @t136 @t134))) % 20.31/20.57 (step @p178 :rule trans :premises (@p177 @p176)) % 20.31/20.57 (step @p179 :rule trans :premises (@p178 @p141)) % 20.31/20.57 (step @p180 :rule nary_cong :premises (@p179 @p140) :args ((or (not @t148) @t133))) % 20.31/20.57 (step @p181 :rule trans :premises (@p180 @p139)) % 20.31/20.57 (step @p182 :rule bool-impl-elim :args (@t148 @t133)) % 20.31/20.57 (step @p183 :rule trans :premises (@p182 @p181)) % 20.31/20.57 (step @p184 :rule cong :premises (@p183) :args (@t150)) % 20.31/20.57 (step @p185 :rule cong :premises (@p184) :args (@t151)) % 20.31/20.57 (step @p186 :rule eq_resolve :premises (@p95 @p185)) % 20.31/20.57 (step @p187 :rule skolemize :premises (@p186)) % 20.31/20.57 (step @p188 :rule bool-double-not-elim :args (@t176)) % 20.31/20.57 (step @p189 :rule refl :args (@t187)) % 20.31/20.57 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t187 (not @t186)))) % 20.31/20.57 (step @p191 :rule cnf_or_neg :args (@t187 0)) % 20.31/20.57 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 20.31/20.57 (step @p193 :rule reordering :premises (@p192) :args ((or @t176 @t187))) % 20.31/20.57 (step @p194 :rule chain_m_resolution :premises (@p193 @p187) :args (@t176 @t188 @t189)) % 20.31/20.57 (step @p195 :rule cnf_or_pos :args (@t191)) % 20.31/20.57 (step @p196 :rule factoring :premises (@p195)) % 20.31/20.57 (step @p197 :rule reordering :premises (@p196) :args ((or @t186 @t190 (not @t191)))) % 20.31/20.57 (step @p198 :rule chain_m_resolution :premises (@p197 @p194 @p138) :args (@t190 @t192 (@list @t176 @t191))) % 20.31/20.57 (step @p199 :rule cnf_or_pos :args (@t195)) % 20.31/20.57 (step @p200 :rule reordering :premises (@p199) :args ((or @t194 @t193 (not @t195)))) % 20.31/20.57 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p128) :args (@t193 @t192 (@list @t190 @t195))) % 20.31/20.57 (step @p202 :rule cnf_or_pos :args (@t198)) % 20.31/20.57 (step @p203 :rule reordering :premises (@p202) :args ((or @t196 @t194 @t197 (not @t198)))) % 20.31/20.57 (step @p204 :rule chain_m_resolution :premises (@p203 @p198 @p201 @p124) :args (@t196 @t199 (@list @t190 @t193 @t198))) % 20.31/20.57 (step @p205 :rule cnf_or_pos :args (@t202)) % 20.31/20.57 (step @p206 :rule reordering :premises (@p205) :args ((or @t201 @t200 (not @t202)))) % 20.31/20.57 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p114) :args (@t200 @t192 (@list @t196 @t202))) % 20.31/20.57 (step @p208 :rule cnf_or_pos :args (@t205)) % 20.31/20.57 (step @p209 :rule reordering :premises (@p208) :args ((or @t203 @t204 (not @t205)))) % 20.31/20.57 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p110) :args (@t203 @t192 (@list @t200 @t205))) % 20.31/20.57 (step @p211 :rule bool-impl-elim :args (@t34 @t36)) % 20.31/20.57 (step @p212 :rule cong :premises (@p211) :args (@t37)) % 20.31/20.57 (step @p213 :rule eq_resolve :premises (@p14 @p212)) % 20.31/20.57 (step @p214 :rule instantiate :premises (@p213) :args (@t169)) % 20.31/20.57 (step @p215 :rule cnf_or_pos :args (@t209)) % 20.31/20.57 (step @p216 :rule reordering :premises (@p215) :args ((or @t208 @t206 (not @t209)))) % 20.31/20.57 (step @p217 :rule aci_norm :args ((= (or (or @t211 @t210) @t38) (or @t211 @t210 @t38)))) % 20.31/20.57 (step @p218 :rule refl :args (@t38)) % 20.31/20.57 (step @p219 :rule bool-and-de-morgan :args (@t34 @t39 true)) % 20.31/20.57 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or (not @t40) @t38))) % 20.31/20.57 (step @p221 :rule trans :premises (@p220 @p217)) % 20.31/20.57 (step @p222 :rule bool-impl-elim :args (@t40 @t38)) % 20.31/20.57 (step @p223 :rule trans :premises (@p222 @p221)) % 20.31/20.57 (step @p224 :rule cong :premises (@p223) :args (@t41)) % 20.31/20.57 (step @p225 :rule eq_resolve :premises (@p17 @p224)) % 20.31/20.57 (step @p226 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t168 @t167 @t167))) % 20.31/20.57 (step @p227 :rule cnf_or_pos :args (@t213)) % 20.31/20.57 (step @p228 :rule factoring :premises (@p227)) % 20.31/20.57 (step @p229 :rule reordering :premises (@p228) :args ((or @t208 @t212 (not @t213)))) % 20.31/20.57 (step @p230 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t167 @t168 @t168))) % 20.31/20.57 (step @p231 :rule cnf_or_pos :args (@t216)) % 20.31/20.57 (step @p232 :rule factoring :premises (@p231)) % 20.31/20.57 (step @p233 :rule reordering :premises (@p232) :args ((or @t215 @t214 (not @t216)))) % 20.31/20.57 (step @p234 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t167 @t168 @t167))) % 20.31/20.57 (step @p235 :rule cnf_or_pos :args (@t219)) % 20.31/20.57 (step @p236 :rule reordering :premises (@p235) :args ((or @t215 @t218 @t217 (not @t219)))) % 20.31/20.57 (step @p237 :rule instantiate :premises (@p113) :args ((@list @t168 @t168 @t168 @t168 @t168 @t167))) % 20.31/20.57 (step @p238 :rule cnf_or_pos :args (@t221)) % 20.31/20.57 (step @p239 :rule reordering :premises (@p238) :args ((or @t201 @t220 (not @t221)))) % 20.31/20.57 (step @p240 :rule chain_m_resolution :premises (@p239 @p204 @p237) :args (@t220 @t192 (@list @t196 @t221))) % 20.31/20.57 (step @p241 :rule aci_norm :args ((= (or (or @t223 @t222) @t94) (or @t223 @t222 @t94)))) % 20.31/20.57 (step @p242 :rule refl :args (@t94)) % 20.31/20.57 (step @p243 :rule bool-and-de-morgan :args (@t96 @t95 true)) % 20.31/20.57 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or (not @t97) @t94))) % 20.31/20.57 (step @p245 :rule trans :premises (@p244 @p241)) % 20.31/20.57 (step @p246 :rule bool-impl-elim :args (@t97 @t94)) % 20.31/20.57 (step @p247 :rule trans :premises (@p246 @p245)) % 20.31/20.57 (step @p248 :rule cong :premises (@p247) :args (@t98)) % 20.31/20.57 (step @p249 :rule eq_resolve :premises (@p57 @p248)) % 20.31/20.57 (step @p250 :rule instantiate :premises (@p249) :args ((@list @t168 @t168 @t180 @t167))) % 20.31/20.57 (step @p251 :rule aci_norm :args ((= (or (or @t118 @t224) @t13) (or @t118 @t224 @t13)))) % 20.31/20.57 (step @p252 :rule bool-and-de-morgan :args (@t18 @t21 true)) % 20.31/20.57 (step @p253 :rule nary_cong :premises (@p252 @p116) :args ((or (not @t22) @t13))) % 20.31/20.57 (step @p254 :rule trans :premises (@p253 @p251)) % 20.31/20.57 (step @p255 :rule bool-impl-elim :args (@t22 @t13)) % 20.31/20.57 (step @p256 :rule trans :premises (@p255 @p254)) % 20.31/20.57 (step @p257 :rule cong :premises (@p256) :args (@t23)) % 20.31/20.57 (step @p258 :rule eq_resolve :premises (@p9 @p257)) % 20.31/20.57 (step @p259 :rule instantiate :premises (@p258) :args ((@list @t168 @t168 @t168 @t168 @t180 @t167))) % 20.31/20.57 (step @p260 :rule aci_norm :args ((= (or (or @t116 @t224) @t24) (or @t116 @t224 @t24)))) % 20.31/20.57 (step @p261 :rule refl :args (@t24)) % 20.31/20.57 (step @p262 :rule bool-and-de-morgan :args (@t8 @t21 true)) % 20.31/20.57 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or (not @t25) @t24))) % 20.31/20.57 (step @p264 :rule trans :premises (@p263 @p260)) % 20.31/20.57 (step @p265 :rule bool-impl-elim :args (@t25 @t24)) % 20.31/20.57 (step @p266 :rule trans :premises (@p265 @p264)) % 20.31/20.57 (step @p267 :rule cong :premises (@p266) :args (@t26)) % 20.31/20.57 (step @p268 :rule eq_resolve :premises (@p10 @p267)) % 20.31/20.57 (step @p269 :rule instantiate :premises (@p268) :args ((@list @t168 @t168 @t180 @t167 @t167 @t178))) % 20.31/20.57 (step @p270 :rule bool-impl-elim :args (@t18 @t19)) % 20.31/20.57 (step @p271 :rule cong :premises (@p270) :args (@t20)) % 20.31/20.57 (step @p272 :rule eq_resolve :premises (@p8 @p271)) % 20.31/20.57 (step @p273 :rule instantiate :premises (@p272) :args ((@list @t168 @t168 @t167 @t178))) % 20.31/20.57 (step @p274 :rule instantiate :premises (@p258) :args ((@list @t167 @t178 @t168 @t168 @t168 @t177))) % 20.31/20.57 (step @p275 :rule aci_norm :args ((= (or (or @t153 @t65) @t63) (or @t153 @t65 @t63)))) % 20.31/20.57 (step @p276 :rule bool-double-not-elim :args (@t65)) % 20.31/20.57 (step @p277 :rule refl :args (@t153)) % 20.31/20.57 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or @t153 (not @t66)))) % 20.31/20.57 (step @p279 :rule bool-and-de-morgan :args (@t62 @t66 true)) % 20.31/20.57 (step @p280 :rule trans :premises (@p279 @p278)) % 20.31/20.57 (step @p281 :rule nary_cong :premises (@p280 @p98) :args ((or (not @t67) @t63))) % 20.31/20.57 (step @p282 :rule trans :premises (@p281 @p275)) % 20.31/20.57 (step @p283 :rule bool-impl-elim :args (@t67 @t63)) % 20.31/20.57 (step @p284 :rule trans :premises (@p283 @p282)) % 20.31/20.57 (step @p285 :rule cong :premises (@p284) :args (@t68)) % 20.31/20.57 (step @p286 :rule eq_resolve :premises (@p42 @p285)) % 20.31/20.57 (step @p287 :rule instantiate :premises (@p286) :args (@t225)) % 20.31/20.57 (step @p288 :rule instantiate :premises (@p109) :args ((@list @t168 @t168 @t177 @t168 @t168 @t168 @t177 @t168))) % 20.31/20.57 (step @p289 :rule instantiate :premises (@p113) :args ((@list @t168 @t168 @t168 @t168 @t177 @t168))) % 20.31/20.57 (step @p290 :rule cnf_or_pos :args (@t227)) % 20.31/20.57 (step @p291 :rule reordering :premises (@p290) :args ((or @t201 @t226 (not @t227)))) % 20.31/20.57 (step @p292 :rule chain_m_resolution :premises (@p291 @p204 @p289) :args (@t226 @t192 (@list @t196 @t227))) % 20.31/20.57 (step @p293 :rule cnf_or_pos :args (@t230)) % 20.31/20.57 (step @p294 :rule reordering :premises (@p293) :args ((or @t228 @t229 (not @t230)))) % 20.31/20.57 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p288) :args (@t228 @t192 (@list @t226 @t230))) % 20.31/20.57 (step @p296 :rule cnf_or_pos :args (@t234)) % 20.31/20.57 (step @p297 :rule reordering :premises (@p296) :args ((or @t232 @t231 @t233 (not @t234)))) % 20.31/20.57 (step @p298 :rule instantiate :premises (@p105) :args (@t225)) % 20.31/20.57 (step @p299 :rule cnf_or_pos :args (@t236)) % 20.31/20.57 (step @p300 :rule reordering :premises (@p299) :args ((or @t231 @t235 @t233 (not @t236)))) % 20.31/20.57 (step @p301 :rule chain_m_resolution :premises (@p300 @p295 @p298 @p297 @p295 @p287) :args (@t231 @t237 (@list @t228 @t236 @t232 @t228 @t234))) % 20.31/20.57 (step @p302 :rule aci_norm :args ((= (or @t242 @t72) (or @t241 @t240 @t239 @t238 @t72)))) % 20.31/20.57 (step @p303 :rule refl :args (@t72)) % 20.31/20.57 (step @p304 :rule aci_norm :args ((= (or @t241 (or @t240 (or @t239 @t238))) @t242))) % 20.31/20.57 (step @p305 :rule bool-and-de-morgan :args (@t74 @t73 true)) % 20.31/20.57 (step @p306 :rule refl :args (@t240)) % 20.31/20.57 (step @p307 :rule nary_cong :premises (@p306 @p305) :args ((or @t240 (not (and @t74 @t73))))) % 20.31/20.57 (step @p308 :rule bool-and-de-morgan :args (@t75 @t74 (and @t73))) % 20.31/20.57 (step @p309 :rule trans :premises (@p308 @p307)) % 20.31/20.57 (step @p310 :rule refl :args (@t241)) % 20.31/20.57 (step @p311 :rule nary_cong :premises (@p310 @p309) :args ((or @t241 (not (and @t75 @t74 @t73))))) % 20.31/20.57 (step @p312 :rule bool-and-de-morgan :args (@t76 @t75 (and @t74 @t73))) % 20.31/20.57 (step @p313 :rule trans :premises (@p312 @p311)) % 20.31/20.57 (step @p314 :rule trans :premises (@p313 @p304)) % 20.31/20.57 (step @p315 :rule nary_cong :premises (@p314 @p303) :args ((or (not @t77) @t72))) % 20.31/20.57 (step @p316 :rule trans :premises (@p315 @p302)) % 20.31/20.57 (step @p317 :rule bool-impl-elim :args (@t77 @t72)) % 20.31/20.57 (step @p318 :rule trans :premises (@p317 @p316)) % 20.31/20.57 (step @p319 :rule cong :premises (@p318) :args (@t78)) % 20.31/20.57 (step @p320 :rule eq_resolve :premises (@p44 @p319)) % 20.31/20.57 (step @p321 :rule instantiate :premises (@p320) :args (@t243)) % 20.31/20.57 (step @p322 :rule instantiate :premises (@p113) :args (@t243)) % 20.31/20.57 (step @p323 :rule cnf_or_pos :args (@t245)) % 20.31/20.57 (step @p324 :rule reordering :premises (@p323) :args ((or @t201 @t244 (not @t245)))) % 20.31/20.57 (step @p325 :rule chain_m_resolution :premises (@p324 @p204 @p322) :args (@t244 @t192 (@list @t196 @t245))) % 20.31/20.57 (step @p326 :rule instantiate :premises (@p105) :args (@t246)) % 20.31/20.57 (step @p327 :rule bool-impl-elim :args (@t108 @t4)) % 20.31/20.57 (step @p328 :rule cong :premises (@p327) :args (@t109)) % 20.31/20.57 (step @p329 :rule eq_resolve :premises (@p67 @p328)) % 20.31/20.57 (step @p330 :rule instantiate :premises (@p329) :args ((@list @t168 @t168 @t168))) % 20.31/20.57 (step @p331 :rule cnf_or_pos :args (@t248)) % 20.31/20.57 (step @p332 :rule reordering :premises (@p331) :args ((or @t247 @t201 (not @t248)))) % 20.31/20.57 (step @p333 :rule chain_m_resolution :premises (@p332 @p204 @p330) :args (@t247 @t192 (@list @t196 @t248))) % 20.31/20.57 (step @p334 :rule cnf_or_pos :args (@t252)) % 20.31/20.57 (step @p335 :rule reordering :premises (@p334) :args ((or @t250 @t249 @t251 (not @t252)))) % 20.31/20.57 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p325 @p326) :args (@t249 @t199 (@list @t247 @t244 @t252))) % 20.31/20.57 (step @p337 :rule cnf_or_pos :args (@t255)) % 20.31/20.57 (step @p338 :rule factoring :premises (@p337)) % 20.31/20.57 (step @p339 :rule reordering :premises (@p338) :args ((or @t253 @t254 @t251 (not @t255)))) % 20.31/20.57 (step @p340 :rule chain_m_resolution :premises (@p339 @p336 @p325 @p321) :args (@t253 @t199 (@list @t249 @t244 @t255))) % 20.31/20.57 (step @p341 :rule aci_norm :args ((= (or @t257 @t99) (or @t223 @t222 @t256 @t99)))) % 20.31/20.57 (step @p342 :rule refl :args (@t99)) % 20.31/20.57 (step @p343 :rule aci_norm :args ((= (or @t223 (or @t222 @t256)) @t257))) % 20.31/20.57 (step @p344 :rule bool-and-de-morgan :args (@t95 @t63 true)) % 20.31/20.57 (step @p345 :rule refl :args (@t223)) % 20.31/20.57 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or @t223 (not (and @t95 @t63))))) % 20.31/20.57 (step @p347 :rule bool-and-de-morgan :args (@t96 @t95 (and @t63))) % 20.31/20.57 (step @p348 :rule trans :premises (@p347 @p346)) % 20.31/20.57 (step @p349 :rule trans :premises (@p348 @p343)) % 20.31/20.57 (step @p350 :rule nary_cong :premises (@p349 @p342) :args ((or (not @t100) @t99))) % 20.31/20.57 (step @p351 :rule trans :premises (@p350 @p341)) % 20.31/20.57 (step @p352 :rule bool-impl-elim :args (@t100 @t99)) % 20.31/20.57 (step @p353 :rule trans :premises (@p352 @p351)) % 20.31/20.57 (step @p354 :rule cong :premises (@p353) :args (@t101)) % 20.31/20.57 (step @p355 :rule eq_resolve :premises (@p58 @p354)) % 20.31/20.57 (step @p356 :rule instantiate :premises (@p355) :args (@t225)) % 20.31/20.57 (step @p357 :rule cnf_or_pos :args (@t263)) % 20.31/20.57 (step @p358 :rule reordering :premises (@p357) :args ((or @t262 @t258 @t261 @t259 (not @t263)))) % 20.31/20.57 (step @p359 :rule instantiate :premises (@p213) :args (@t225)) % 20.31/20.57 (step @p360 :rule cnf_or_pos :args (@t265)) % 20.31/20.57 (step @p361 :rule reordering :premises (@p360) :args ((or @t259 @t264 (not @t265)))) % 20.31/20.57 (step @p362 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t168 @t177 @t177))) % 20.31/20.57 (step @p363 :rule cnf_or_pos :args (@t267)) % 20.31/20.57 (step @p364 :rule factoring :premises (@p363)) % 20.31/20.57 (step @p365 :rule reordering :premises (@p364) :args ((or @t259 @t266 (not @t267)))) % 20.31/20.57 (step @p366 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t177 @t168 @t168))) % 20.31/20.57 (step @p367 :rule cnf_or_pos :args (@t270)) % 20.31/20.57 (step @p368 :rule factoring :premises (@p367)) % 20.31/20.57 (step @p369 :rule reordering :premises (@p368) :args ((or @t268 @t269 (not @t270)))) % 20.31/20.57 (step @p370 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t177 @t168 @t177))) % 20.31/20.57 (step @p371 :rule cnf_or_pos :args (@t273)) % 20.31/20.57 (step @p372 :rule reordering :premises (@p371) :args ((or @t269 @t271 @t272 (not @t273)))) % 20.31/20.57 (step @p373 :rule instantiate :premises (@p113) :args ((@list @t168 @t168 @t168 @t168 @t168 @t177))) % 20.31/20.57 (step @p374 :rule cnf_or_pos :args (@t275)) % 20.31/20.57 (step @p375 :rule reordering :premises (@p374) :args ((or @t201 @t274 (not @t275)))) % 20.31/20.57 (step @p376 :rule chain_m_resolution :premises (@p375 @p204 @p373) :args (@t274 @t192 (@list @t196 @t275))) % 20.31/20.57 (step @p377 :rule instantiate :premises (@p320) :args ((@list @t168 @t177 @t168 @t168 @t177 @t168))) % 20.31/20.57 (step @p378 :rule cnf_or_pos :args (@t279)) % 20.31/20.57 (step @p379 :rule factoring :premises (@p378)) % 20.31/20.57 (step @p380 :rule reordering :premises (@p379) :args ((or @t276 @t260 @t278 @t277 (not @t279)))) % 20.31/20.57 (step @p381 :rule chain_m_resolution :premises (@p380 @p377 @p376 @p372 @p370 @p369 @p366 @p365 @p362 @p361 @p359 @p358 @p356 @p340) :args ((or @t258 @t259) (@list false false false false false false false false false false true false false) (@list @t279 @t274 @t271 @t273 @t268 @t270 @t266 @t267 @t264 @t265 @t260 @t263 @t253))) % 20.31/20.57 (step @p382 :rule chain_m_resolution :premises (@p381 @p301) :args (@t258 @t280 (@list @t231))) % 20.31/20.57 (step @p383 :rule cnf_or_neg :args (@t187 11)) % 20.31/20.57 (step @p384 :rule chain_m_resolution :premises (@p383 @p187) :args ((not @t179) @t188 @t189)) % 20.31/20.57 (step @p385 :rule cnf_or_pos :args (@t284)) % 20.31/20.57 (step @p386 :rule reordering :premises (@p385) :args ((or @t179 @t281 @t283 (not @t284)))) % 20.31/20.57 (step @p387 :rule chain_m_resolution :premises (@p386 @p384 @p382 @p274) :args (@t283 @t285 (@list @t179 @t258 @t284))) % 20.31/20.57 (step @p388 :rule cnf_or_pos :args (@t288)) % 20.31/20.57 (step @p389 :rule reordering :premises (@p388) :args ((or @t287 @t282 (not @t288)))) % 20.31/20.57 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p273) :args (@t287 (@list true false) (@list @t282 @t288))) % 20.31/20.57 (step @p391 :rule bool-double-not-elim :args (@t181)) % 20.31/20.57 (step @p392 :rule nary_cong :premises (@p189 @p391) :args ((or @t187 (not @t182)))) % 20.31/20.57 (step @p393 :rule cnf_or_neg :args (@t187 10)) % 20.31/20.57 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 20.31/20.57 (step @p395 :rule reordering :premises (@p394) :args ((or @t181 @t187))) % 20.31/20.57 (step @p396 :rule chain_m_resolution :premises (@p395 @p187) :args (@t181 @t188 @t189)) % 20.31/20.57 (step @p397 :rule cnf_or_pos :args (@t291)) % 20.31/20.57 (step @p398 :rule reordering :premises (@p397) :args ((or @t182 @t286 @t290 (not @t291)))) % 20.31/20.57 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p390 @p269) :args (@t290 @t292 (@list @t181 @t286 @t291))) % 20.31/20.57 (step @p400 :rule instantiate :premises (@p249) :args (@t246)) % 20.31/20.57 (step @p401 :rule cnf_or_pos :args (@t294)) % 20.31/20.57 (step @p402 :rule factoring :premises (@p401)) % 20.31/20.57 (step @p403 :rule reordering :premises (@p402) :args ((or @t293 @t262 (not @t294)))) % 20.31/20.57 (step @p404 :rule chain_m_resolution :premises (@p403 @p340 @p400) :args (@t293 @t192 (@list @t253 @t294))) % 20.31/20.57 (step @p405 :rule cnf_or_pos :args (@t298)) % 20.31/20.57 (step @p406 :rule reordering :premises (@p405) :args ((or @t297 @t296 @t289 (not @t298)))) % 20.31/20.57 (step @p407 :rule chain_m_resolution :premises (@p406 @p404 @p399 @p259) :args (@t296 @t292 (@list @t293 @t289 @t298))) % 20.31/20.57 (step @p408 :rule instantiate :premises (@p286) :args (@t299)) % 20.31/20.57 (step @p409 :rule instantiate :premises (@p109) :args ((@list @t168 @t168 @t180 @t168 @t168 @t168 @t180 @t168))) % 20.31/20.57 (step @p410 :rule instantiate :premises (@p113) :args ((@list @t168 @t168 @t168 @t168 @t180 @t168))) % 20.31/20.57 (step @p411 :rule cnf_or_pos :args (@t301)) % 20.31/20.57 (step @p412 :rule reordering :premises (@p411) :args ((or @t201 @t300 (not @t301)))) % 20.31/20.57 (step @p413 :rule chain_m_resolution :premises (@p412 @p204 @p410) :args (@t300 @t192 (@list @t196 @t301))) % 20.31/20.57 (step @p414 :rule cnf_or_pos :args (@t304)) % 20.31/20.57 (step @p415 :rule reordering :premises (@p414) :args ((or @t302 @t303 (not @t304)))) % 20.31/20.57 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p409) :args (@t302 @t192 (@list @t300 @t304))) % 20.31/20.57 (step @p417 :rule cnf_or_pos :args (@t308)) % 20.31/20.57 (step @p418 :rule reordering :premises (@p417) :args ((or @t305 @t306 @t307 (not @t308)))) % 20.31/20.57 (step @p419 :rule instantiate :premises (@p105) :args (@t299)) % 20.31/20.57 (step @p420 :rule cnf_or_pos :args (@t310)) % 20.31/20.57 (step @p421 :rule reordering :premises (@p420) :args ((or @t305 @t309 @t307 (not @t310)))) % 20.31/20.57 (step @p422 :rule chain_m_resolution :premises (@p421 @p416 @p419 @p418 @p416 @p408) :args (@t305 @t237 (@list @t302 @t310 @t306 @t302 @t308))) % 20.31/20.57 (step @p423 :rule instantiate :premises (@p213) :args (@t299)) % 20.31/20.57 (step @p424 :rule cnf_or_pos :args (@t313)) % 20.31/20.57 (step @p425 :rule reordering :premises (@p424) :args ((or @t312 @t311 (not @t313)))) % 20.31/20.57 (step @p426 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t168 @t180 @t180))) % 20.31/20.57 (step @p427 :rule cnf_or_pos :args (@t315)) % 20.31/20.57 (step @p428 :rule factoring :premises (@p427)) % 20.31/20.57 (step @p429 :rule reordering :premises (@p428) :args ((or @t312 @t314 (not @t315)))) % 20.31/20.57 (step @p430 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t180 @t168 @t168))) % 20.31/20.57 (step @p431 :rule cnf_or_pos :args (@t318)) % 20.31/20.57 (step @p432 :rule factoring :premises (@p431)) % 20.31/20.57 (step @p433 :rule reordering :premises (@p432) :args ((or @t316 @t317 (not @t318)))) % 20.31/20.57 (step @p434 :rule instantiate :premises (@p225) :args ((@list @t168 @t168 @t180 @t168 @t180))) % 20.31/20.57 (step @p435 :rule cnf_or_pos :args (@t321)) % 20.31/20.57 (step @p436 :rule reordering :premises (@p435) :args ((or @t317 @t320 @t319 (not @t321)))) % 20.31/20.57 (step @p437 :rule instantiate :premises (@p113) :args ((@list @t168 @t168 @t168 @t168 @t168 @t180))) % 20.31/20.57 (step @p438 :rule cnf_or_pos :args (@t323)) % 20.31/20.57 (step @p439 :rule reordering :premises (@p438) :args ((or @t201 @t322 (not @t323)))) % 20.31/20.57 (step @p440 :rule chain_m_resolution :premises (@p439 @p204 @p437) :args (@t322 @t192 (@list @t196 @t323))) % 20.31/20.57 (step @p441 :rule instantiate :premises (@p320) :args ((@list @t168 @t180 @t168 @t168 @t180 @t168))) % 20.31/20.57 (step @p442 :rule cnf_or_pos :args (@t328)) % 20.31/20.57 (step @p443 :rule factoring :premises (@p442)) % 20.31/20.57 (step @p444 :rule reordering :premises (@p443) :args ((or @t324 @t325 @t327 @t326 (not @t328)))) % 20.31/20.57 (step @p445 :rule chain_m_resolution :premises (@p444 @p441 @p440 @p436 @p434 @p433 @p430 @p429 @p426 @p425 @p423) :args ((or @t312 @t324) (@list false false false false false false false false false false) (@list @t328 @t322 @t319 @t321 @t316 @t318 @t314 @t315 @t311 @t313))) % 20.31/20.57 (step @p446 :rule chain_m_resolution :premises (@p445 @p422) :args (@t324 @t280 (@list @t305))) % 20.31/20.57 (step @p447 :rule cnf_or_pos :args (@t332)) % 20.31/20.57 (step @p448 :rule reordering :premises (@p447) :args ((or @t331 @t330 @t295 (not @t332)))) % 20.31/20.57 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p407 @p250) :args (@t330 @t292 (@list @t324 @t295 @t332))) % 20.31/20.57 (step @p450 :rule instantiate :premises (@p320) :args ((@list @t168 @t167 @t168 @t168 @t167 @t168))) % 20.31/20.57 (step @p451 :rule cnf_or_pos :args (@t336)) % 20.31/20.57 (step @p452 :rule factoring :premises (@p451)) % 20.31/20.57 (step @p453 :rule reordering :premises (@p452) :args ((or @t329 @t333 @t335 @t334 (not @t336)))) % 20.31/20.57 (step @p454 :rule chain_m_resolution :premises (@p453 @p450 @p449 @p240 @p236 @p234 @p233 @p230 @p229 @p226 @p216 @p214) :args (@t208 (@list false true false false false false false false false false false) (@list @t336 @t329 @t220 @t217 @t219 @t214 @t216 @t212 @t213 @t206 @t209))) % 20.31/20.57 (step @p455 :rule instantiate :premises (@p286) :args (@t169)) % 20.31/20.57 (step @p456 :rule cnf_or_pos :args (@t339)) % 20.31/20.57 (step @p457 :rule reordering :premises (@p456) :args ((or @t207 @t337 @t338 (not @t339)))) % 20.31/20.57 (step @p458 :rule chain_m_resolution :premises (@p457 @p454 @p210 @p455) :args (@t337 @t285 (@list @t207 @t203 @t339))) % 20.31/20.57 (step @p459 :rule cnf_or_pos :args (@t341)) % 20.31/20.57 (step @p460 :rule reordering :premises (@p459) :args ((or @t207 @t340 @t338 (not @t341)))) % 20.31/20.57 (step @p461 false :rule chain_m_resolution :premises (@p460 @p458 @p454 @p210 @p106) :args (false (@list false true false false) (@list @t337 @t207 @t203 @t341))) % 20.31/20.57 ) % 20.31/20.57 % SZS output end Proof % 20.31/20.57 % cvc5 exiting %------------------------------------------------------------------------------