%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO565+1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:17:24 AM UTC 2026 % Result : Theorem 21.21s 21.44s % Output : Proof 21.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO565+1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n025.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 00:02:46 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 21.21/21.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 21.21/21.44 --- Run --no-e-matching --full-saturate-quant at 6... % 21.21/21.44 % SZS status Theorem % 21.21/21.44 % SZS output start Proof % 21.21/21.44 ( % 21.21/21.44 (declare-sort $$unsorted 0) % 21.21/21.44 (declare-const tptp.contri (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.simtri (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.eqratio (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.eqangle (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.cyclic (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.circle (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.midp (-> $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.perp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.cong (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.para (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (declare-const tptp.coll (-> $$unsorted $$unsorted $$unsorted Bool)) % 21.21/21.44 (define @t1 () (@var "B" $$unsorted)) % 21.21/21.44 (define @t2 () (@var "C" $$unsorted)) % 21.21/21.44 (define @t3 () (@var "A" $$unsorted)) % 21.21/21.44 (define @t4 () (tptp.coll @t3 @t1 @t2)) % 21.21/21.44 (define @t5 () (@list @t3 @t1 @t2)) % 21.21/21.44 (define @t6 () (tptp.coll @t1 @t3 @t2)) % 21.21/21.44 (define @t7 () (forall @t5 (=> @t4 @t6))) % 21.21/21.44 (define @t8 () (@var "D" $$unsorted)) % 21.21/21.44 (define @t9 () (tptp.coll @t2 @t8 @t3)) % 21.21/21.44 (define @t10 () (tptp.coll @t3 @t1 @t8)) % 21.21/21.44 (define @t11 () (and @t4 @t10)) % 21.21/21.44 (define @t12 () (@list @t3 @t1 @t2 @t8)) % 21.21/21.44 (define @t13 () (forall @t12 (=> @t11 @t9))) % 21.21/21.44 (define @t14 () (tptp.para @t3 @t1 @t2 @t8)) % 21.21/21.44 (define @t15 () (tptp.para @t2 @t8 @t3 @t1)) % 21.21/21.44 (define @t16 () (forall @t12 (=> @t14 @t15))) % 21.21/21.44 (define @t17 () (@var "F" $$unsorted)) % 21.21/21.44 (define @t18 () (@var "E" $$unsorted)) % 21.21/21.44 (define @t19 () (tptp.para @t3 @t1 @t18 @t17)) % 21.21/21.44 (define @t20 () (tptp.para @t2 @t8 @t18 @t17)) % 21.21/21.44 (define @t21 () (and @t14 @t20)) % 21.21/21.44 (define @t22 () (@list @t3 @t1 @t2 @t8 @t18 @t17)) % 21.21/21.44 (define @t23 () (forall @t22 (=> @t21 @t19))) % 21.21/21.44 (define @t24 () (tptp.perp @t3 @t1 @t8 @t2)) % 21.21/21.44 (define @t25 () (tptp.perp @t3 @t1 @t2 @t8)) % 21.21/21.44 (define @t26 () (forall @t12 (=> @t25 @t24))) % 21.21/21.44 (define @t27 () (tptp.perp @t2 @t8 @t18 @t17)) % 21.21/21.44 (define @t28 () (and @t25 @t27)) % 21.21/21.44 (define @t29 () (forall @t22 (=> @t28 @t19))) % 21.21/21.44 (define @t30 () (tptp.perp @t3 @t1 @t18 @t17)) % 21.21/21.44 (define @t31 () (and @t14 @t27)) % 21.21/21.44 (define @t32 () (forall @t22 (=> @t31 @t30))) % 21.21/21.44 (define @t33 () (@var "M" $$unsorted)) % 21.21/21.44 (define @t34 () (tptp.midp @t33 @t3 @t1)) % 21.21/21.44 (define @t35 () (@var "O" $$unsorted)) % 21.21/21.44 (define @t36 () (tptp.circle @t35 @t3 @t1 @t2)) % 21.21/21.44 (define @t37 () (tptp.cong @t35 @t3 @t35 @t2)) % 21.21/21.44 (define @t38 () (tptp.cong @t35 @t3 @t35 @t1)) % 21.21/21.44 (define @t39 () (and @t38 @t37)) % 21.21/21.44 (define @t40 () (@list @t3 @t1 @t2 @t35)) % 21.21/21.44 (define @t41 () (forall @t40 (=> @t39 @t36))) % 21.21/21.44 (define @t42 () (tptp.cyclic @t3 @t1 @t2 @t8)) % 21.21/21.44 (define @t43 () (@list @t3 @t1 @t2 @t8 @t35)) % 21.21/21.44 (define @t44 () (tptp.cyclic @t3 @t1 @t8 @t2)) % 21.21/21.44 (define @t45 () (forall @t12 (=> @t42 @t44))) % 21.21/21.44 (define @t46 () (tptp.cyclic @t1 @t2 @t8 @t18)) % 21.21/21.44 (define @t47 () (tptp.cyclic @t3 @t1 @t2 @t18)) % 21.21/21.44 (define @t48 () (and @t42 @t47)) % 21.21/21.44 (define @t49 () (forall (@list @t3 @t1 @t2 @t8 @t18) (=> @t48 @t46))) % 21.21/21.44 (define @t50 () (@var "V" $$unsorted)) % 21.21/21.44 (define @t51 () (@var "U" $$unsorted)) % 21.21/21.44 (define @t52 () (@var "Q" $$unsorted)) % 21.21/21.44 (define @t53 () (@var "P" $$unsorted)) % 21.21/21.44 (define @t54 () (tptp.eqangle @t1 @t3 @t2 @t8 @t53 @t52 @t51 @t50)) % 21.21/21.44 (define @t55 () (tptp.eqangle @t3 @t1 @t2 @t8 @t53 @t52 @t51 @t50)) % 21.21/21.44 (define @t56 () (@list @t3 @t1 @t2 @t8 @t53 @t52 @t51 @t50)) % 21.21/21.44 (define @t57 () (forall @t56 (=> @t55 @t54))) % 21.21/21.44 (define @t58 () (tptp.eqangle @t2 @t8 @t3 @t1 @t51 @t50 @t53 @t52)) % 21.21/21.44 (define @t59 () (forall @t56 (=> @t55 @t58))) % 21.21/21.44 (define @t60 () (tptp.eqangle @t53 @t52 @t51 @t50 @t3 @t1 @t2 @t8)) % 21.21/21.44 (define @t61 () (forall @t56 (=> @t55 @t60))) % 21.21/21.44 (define @t62 () (tptp.eqangle @t3 @t1 @t53 @t52 @t2 @t8 @t51 @t50)) % 21.21/21.44 (define @t63 () (forall @t56 (=> @t55 @t62))) % 21.21/21.44 (define @t64 () (@var "H" $$unsorted)) % 21.21/21.44 (define @t65 () (@var "G" $$unsorted)) % 21.21/21.44 (define @t66 () (tptp.cong @t3 @t1 @t2 @t8)) % 21.21/21.44 (define @t67 () (tptp.cong @t2 @t8 @t3 @t1)) % 21.21/21.44 (define @t68 () (forall @t12 (=> @t66 @t67))) % 21.21/21.44 (define @t69 () (tptp.cong @t3 @t1 @t18 @t17)) % 21.21/21.44 (define @t70 () (tptp.cong @t2 @t8 @t18 @t17)) % 21.21/21.44 (define @t71 () (and @t66 @t70)) % 21.21/21.44 (define @t72 () (forall @t22 (=> @t71 @t69))) % 21.21/21.44 (define @t73 () (tptp.eqratio @t3 @t1 @t2 @t8 @t53 @t52 @t51 @t50)) % 21.21/21.44 (define @t74 () (@var "R" $$unsorted)) % 21.21/21.44 (define @t75 () (tptp.simtri @t3 @t1 @t2 @t53 @t52 @t74)) % 21.21/21.44 (define @t76 () (@list @t3 @t1 @t2 @t53 @t52 @t74)) % 21.21/21.44 (define @t77 () (@list @t3 @t1 @t2 @t18 @t17 @t65 @t53 @t52 @t74)) % 21.21/21.44 (define @t78 () (tptp.contri @t3 @t1 @t2 @t53 @t52 @t74)) % 21.21/21.44 (define @t79 () (tptp.eqangle @t3 @t1 @t53 @t52 @t2 @t8 @t53 @t52)) % 21.21/21.44 (define @t80 () (@list @t3 @t1 @t2 @t8 @t53 @t52)) % 21.21/21.44 (define @t81 () (forall @t80 (=> @t79 @t14))) % 21.21/21.44 (define @t82 () (forall @t80 (=> @t14 @t79))) % 21.21/21.44 (define @t83 () (tptp.eqangle @t53 @t3 @t53 @t1 @t52 @t3 @t52 @t1)) % 21.21/21.44 (define @t84 () (tptp.cyclic @t3 @t1 @t53 @t52)) % 21.21/21.44 (define @t85 () (@list @t3 @t1 @t53 @t52)) % 21.21/21.44 (define @t86 () (tptp.coll @t53 @t52 @t3)) % 21.21/21.44 (define @t87 () (not @t86)) % 21.21/21.44 (define @t88 () (and @t83 @t87)) % 21.21/21.44 (define @t89 () (forall @t85 (=> @t88 @t84))) % 21.21/21.44 (define @t90 () (tptp.coll @t53 @t52 @t1)) % 21.21/21.44 (define @t91 () (and @t83 @t90)) % 21.21/21.44 (define @t92 () (forall @t85 (=> @t91 @t84))) % 21.21/21.44 (define @t93 () (tptp.cong @t3 @t1 @t53 @t52)) % 21.21/21.44 (define @t94 () (tptp.eqangle @t2 @t3 @t2 @t1 @t74 @t53 @t74 @t52)) % 21.21/21.44 (define @t95 () (tptp.cyclic @t3 @t1 @t2 @t74)) % 21.21/21.44 (define @t96 () (tptp.cyclic @t3 @t1 @t2 @t52)) % 21.21/21.44 (define @t97 () (tptp.cyclic @t3 @t1 @t2 @t53)) % 21.21/21.44 (define @t98 () (and @t97 @t96 @t95 @t94)) % 21.21/21.44 (define @t99 () (forall @t76 (=> @t98 @t93))) % 21.21/21.44 (define @t100 () (tptp.para @t18 @t17 @t1 @t2)) % 21.21/21.44 (define @t101 () (tptp.midp @t17 @t3 @t2)) % 21.21/21.44 (define @t102 () (tptp.midp @t18 @t3 @t1)) % 21.21/21.44 (define @t103 () (@list @t3 @t1 @t2 @t18 @t17)) % 21.21/21.44 (define @t104 () (tptp.coll @t17 @t3 @t2)) % 21.21/21.44 (define @t105 () (and @t102 @t100 @t104)) % 21.21/21.44 (define @t106 () (forall @t103 (=> @t105 @t101))) % 21.21/21.44 (define @t107 () (tptp.eqangle @t35 @t3 @t3 @t1 @t3 @t1 @t35 @t1)) % 21.21/21.44 (define @t108 () (@list @t3 @t1 @t35)) % 21.21/21.44 (define @t109 () (@var "X" $$unsorted)) % 21.21/21.44 (define @t110 () (tptp.eqangle @t3 @t109 @t3 @t1 @t2 @t3 @t2 @t1)) % 21.21/21.44 (define @t111 () (tptp.perp @t35 @t3 @t3 @t109)) % 21.21/21.44 (define @t112 () (@list @t3 @t1 @t2 @t35 @t109)) % 21.21/21.44 (define @t113 () (tptp.eqangle @t3 @t1 @t3 @t2 @t35 @t1 @t35 @t33)) % 21.21/21.44 (define @t114 () (tptp.midp @t33 @t1 @t2)) % 21.21/21.44 (define @t115 () (and @t36 @t114)) % 21.21/21.44 (define @t116 () (@list @t3 @t1 @t2 @t35 @t33)) % 21.21/21.44 (define @t117 () (forall @t116 (=> @t115 @t113))) % 21.21/21.44 (define @t118 () (tptp.cong @t3 @t33 @t1 @t33)) % 21.21/21.44 (define @t119 () (tptp.midp @t33 @t3 @t2)) % 21.21/21.44 (define @t120 () (tptp.perp @t3 @t1 @t1 @t2)) % 21.21/21.44 (define @t121 () (and @t120 @t119)) % 21.21/21.44 (define @t122 () (forall (@list @t3 @t1 @t2 @t33) (=> @t121 @t118))) % 21.21/21.44 (define @t123 () (tptp.coll @t35 @t3 @t2)) % 21.21/21.44 (define @t124 () (tptp.perp @t3 @t1 @t53 @t52)) % 21.21/21.44 (define @t125 () (tptp.cong @t3 @t52 @t1 @t52)) % 21.21/21.44 (define @t126 () (tptp.cong @t3 @t53 @t1 @t53)) % 21.21/21.44 (define @t127 () (and @t126 @t125)) % 21.21/21.44 (define @t128 () (forall @t85 (=> @t127 @t124))) % 21.21/21.44 (define @t129 () (not @t4)) % 21.21/21.44 (define @t130 () (tptp.eqangle @t3 @t1 @t1 @t2 @t53 @t52 @t52 @t74)) % 21.21/21.44 (define @t131 () (tptp.para @t3 @t2 @t1 @t8)) % 21.21/21.44 (define @t132 () (tptp.midp @t33 @t2 @t8)) % 21.21/21.44 (define @t133 () (and @t34 @t132)) % 21.21/21.44 (define @t134 () (@list @t3 @t1 @t2 @t8 @t33)) % 21.21/21.44 (define @t135 () (forall @t134 (=> @t133 @t131))) % 21.21/21.44 (define @t136 () (tptp.para @t3 @t1 @t3 @t2)) % 21.21/21.44 (define @t137 () (forall @t5 (=> @t136 @t4))) % 21.21/21.44 (define @t138 () (tptp.midp @t3 @t1 @t2)) % 21.21/21.44 (define @t139 () (tptp.cong @t3 @t1 @t3 @t2)) % 21.21/21.44 (define @t140 () (and @t139 @t4)) % 21.21/21.44 (define @t141 () (forall @t5 (=> @t140 @t138))) % 21.21/21.44 (define @t142 () (@var "N" $$unsorted)) % 21.21/21.44 (define @t143 () (tptp.midp @t142 @t2 @t8)) % 21.21/21.44 (define @t144 () (and @t34 @t143)) % 21.21/21.44 (define @t145 () (@list @t3 @t1 @t2 @t8 @t33 @t142)) % 21.21/21.44 (define @t146 () (not @t14)) % 21.21/21.44 (define @t147 () (tptp.eqangle @t3 @t1 @t2 @t8 @t2 @t8 @t3 @t1)) % 21.21/21.44 (define @t148 () (not @t25)) % 21.21/21.44 (define @t149 () (tptp.perp @t53 @t52 @t51 @t50)) % 21.21/21.44 (define @t150 () (and @t55 @t149)) % 21.21/21.44 (define @t151 () (forall @t56 (=> @t150 @t25))) % 21.21/21.44 (define @t152 () (tptp.coll @t1 @t3 @t33)) % 21.21/21.44 (define @t153 () (and @t152 (tptp.coll @t33 @t35 @t109))) % 21.21/21.44 (define @t154 () (tptp.eqangle @t3 @t35 @t35 @t109 @t35 @t109 @t35 @t1)) % 21.21/21.44 (define @t155 () (@list @t33)) % 21.21/21.44 (define @t156 () (@list @t3 @t1 @t35 @t109)) % 21.21/21.44 (define @t157 () (tptp.perp @t35 @t109 @t3 @t1)) % 21.21/21.44 (define @t158 () (@var "Y" $$unsorted)) % 21.21/21.44 (define @t159 () (@list @t53)) % 21.21/21.44 (define @t160 () (tptp.coll @t53 @t52 @t74)) % 21.21/21.44 (define @t161 () (@list @t53 @t52)) % 21.21/21.44 (define @t162 () (tptp.coll @t53 @t3 @t2)) % 21.21/21.44 (define @t163 () (@list @t35)) % 21.21/21.44 (define @t164 () (tptp.perp @t3 @t2 @t2 @t1)) % 21.21/21.44 (define @t165 () (@var "OB" $$unsorted)) % 21.21/21.44 (define @t166 () (@var "OA" $$unsorted)) % 21.21/21.44 (define @t167 () (tptp.cong @t64 @t166 @t64 @t165)) % 21.21/21.44 (define @t168 () (@var "MIDPNT21" $$unsorted)) % 21.21/21.44 (define @t169 () (tptp.perp @t64 @t3 @t168 @t165)) % 21.21/21.44 (define @t170 () (tptp.midp @t168 @t64 @t3)) % 21.21/21.44 (define @t171 () (@var "MIDPNT11" $$unsorted)) % 21.21/21.44 (define @t172 () (tptp.perp @t2 @t3 @t171 @t165)) % 21.21/21.44 (define @t173 () (tptp.midp @t171 @t2 @t3)) % 21.21/21.44 (define @t174 () (@var "MIDPNT01" $$unsorted)) % 21.21/21.44 (define @t175 () (tptp.perp @t2 @t64 @t174 @t165)) % 21.21/21.44 (define @t176 () (tptp.midp @t174 @t2 @t64)) % 21.21/21.44 (define @t177 () (@var "MIDPNT9" $$unsorted)) % 21.21/21.44 (define @t178 () (tptp.perp @t64 @t2 @t177 @t166)) % 21.21/21.44 (define @t179 () (tptp.midp @t177 @t64 @t2)) % 21.21/21.44 (define @t180 () (@var "MIDPNT8" $$unsorted)) % 21.21/21.44 (define @t181 () (tptp.perp @t1 @t2 @t180 @t166)) % 21.21/21.44 (define @t182 () (tptp.midp @t180 @t1 @t2)) % 21.21/21.44 (define @t183 () (@var "MIDPNT7" $$unsorted)) % 21.21/21.44 (define @t184 () (tptp.perp @t1 @t64 @t183 @t166)) % 21.21/21.44 (define @t185 () (tptp.midp @t183 @t1 @t64)) % 21.21/21.44 (define @t186 () (@var "OC" $$unsorted)) % 21.21/21.44 (define @t187 () (@var "MIDPNT6" $$unsorted)) % 21.21/21.44 (define @t188 () (tptp.perp @t64 @t1 @t187 @t186)) % 21.21/21.44 (define @t189 () (tptp.midp @t187 @t64 @t1)) % 21.21/21.44 (define @t190 () (@var "MIDPNT5" $$unsorted)) % 21.21/21.44 (define @t191 () (tptp.perp @t3 @t1 @t190 @t186)) % 21.21/21.44 (define @t192 () (tptp.midp @t190 @t3 @t1)) % 21.21/21.44 (define @t193 () (@var "MIDPNT4" $$unsorted)) % 21.21/21.44 (define @t194 () (tptp.perp @t3 @t64 @t193 @t186)) % 21.21/21.44 (define @t195 () (tptp.midp @t193 @t3 @t64)) % 21.21/21.44 (define @t196 () (@var "MIDPNT3" $$unsorted)) % 21.21/21.44 (define @t197 () (tptp.perp @t1 @t2 @t196 @t35)) % 21.21/21.44 (define @t198 () (tptp.midp @t196 @t1 @t2)) % 21.21/21.44 (define @t199 () (@var "MIDPNT2" $$unsorted)) % 21.21/21.44 (define @t200 () (tptp.perp @t3 @t2 @t199 @t35)) % 21.21/21.44 (define @t201 () (tptp.midp @t199 @t3 @t2)) % 21.21/21.44 (define @t202 () (@var "MIDPNT1" $$unsorted)) % 21.21/21.44 (define @t203 () (tptp.perp @t3 @t1 @t202 @t35)) % 21.21/21.44 (define @t204 () (tptp.midp @t202 @t3 @t1)) % 21.21/21.44 (define @t205 () (tptp.perp @t1 @t2 @t3 @t64)) % 21.21/21.44 (define @t206 () (tptp.perp @t3 @t2 @t1 @t64)) % 21.21/21.44 (define @t207 () (tptp.perp @t3 @t1 @t2 @t64)) % 21.21/21.44 (define @t208 () (and @t207 @t206 @t205 @t204 @t203 @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169)) % 21.21/21.44 (define @t209 () (@list @t3 @t1 @t2 @t64 @t35 @t186 @t166 @t165 @t202 @t199 @t196 @t193 @t190 @t187 @t183 @t180 @t177 @t174 @t171 @t168)) % 21.21/21.44 (define @t210 () (forall @t209 (=> @t208 @t167))) % 21.21/21.44 (define @t211 () (not @t210)) % 21.21/21.44 (define @t212 () (not @t27)) % 21.21/21.44 (define @t213 () (or @t146 @t212 @t30)) % 21.21/21.44 (define @t214 () (not @t169)) % 21.21/21.44 (define @t215 () (not @t170)) % 21.21/21.44 (define @t216 () (not @t172)) % 21.21/21.44 (define @t217 () (not @t173)) % 21.21/21.44 (define @t218 () (not @t175)) % 21.21/21.44 (define @t219 () (not @t176)) % 21.21/21.44 (define @t220 () (not @t178)) % 21.21/21.44 (define @t221 () (not @t179)) % 21.21/21.44 (define @t222 () (not @t181)) % 21.21/21.44 (define @t223 () (not @t182)) % 21.21/21.44 (define @t224 () (not @t184)) % 21.21/21.44 (define @t225 () (not @t185)) % 21.21/21.44 (define @t226 () (not @t188)) % 21.21/21.44 (define @t227 () (not @t189)) % 21.21/21.44 (define @t228 () (not @t191)) % 21.21/21.44 (define @t229 () (not @t192)) % 21.21/21.44 (define @t230 () (not @t194)) % 21.21/21.44 (define @t231 () (not @t195)) % 21.21/21.44 (define @t232 () (not @t197)) % 21.21/21.44 (define @t233 () (not @t198)) % 21.21/21.44 (define @t234 () (not @t200)) % 21.21/21.44 (define @t235 () (not @t201)) % 21.21/21.44 (define @t236 () (not @t203)) % 21.21/21.44 (define @t237 () (not @t204)) % 21.21/21.44 (define @t238 () (not @t205)) % 21.21/21.44 (define @t239 () (not @t206)) % 21.21/21.44 (define @t240 () (not @t207)) % 21.21/21.44 (define @t241 () (or @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t215 @t214 @t167)) % 21.21/21.44 (define @t242 () (forall @t209 @t241)) % 21.21/21.44 (define @t243 () (@quantifiers_skolemize @t242 0)) % 21.21/21.44 (define @t244 () (@quantifiers_skolemize @t242 3)) % 21.21/21.44 (define @t245 () (not @t20)) % 21.21/21.44 (define @t246 () (@quantifiers_skolemize @t242 1)) % 21.21/21.44 (define @t247 () (not @t132)) % 21.21/21.44 (define @t248 () (not @t34)) % 21.21/21.44 (define @t249 () (@quantifiers_skolemize @t242 8)) % 21.21/21.44 (define @t250 () (or @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t215 @t214)) % 21.21/21.44 (define @t251 () (tptp.midp @t249 @t243 @t246)) % 21.21/21.44 (define @t252 () (@quantifiers_skolemize @t242 7)) % 21.21/21.44 (define @t253 () (@quantifiers_skolemize @t242 6)) % 21.21/21.44 (define @t254 () (tptp.cong @t244 @t253 @t244 @t252)) % 21.21/21.44 (define @t255 () (@quantifiers_skolemize @t242 19)) % 21.21/21.44 (define @t256 () (@quantifiers_skolemize @t242 18)) % 21.21/21.44 (define @t257 () (@quantifiers_skolemize @t242 2)) % 21.21/21.44 (define @t258 () (@quantifiers_skolemize @t242 17)) % 21.21/21.44 (define @t259 () (@quantifiers_skolemize @t242 16)) % 21.21/21.44 (define @t260 () (@quantifiers_skolemize @t242 15)) % 21.21/21.44 (define @t261 () (@quantifiers_skolemize @t242 14)) % 21.21/21.44 (define @t262 () (@quantifiers_skolemize @t242 5)) % 21.21/21.44 (define @t263 () (@quantifiers_skolemize @t242 13)) % 21.21/21.44 (define @t264 () (@quantifiers_skolemize @t242 12)) % 21.21/21.44 (define @t265 () (@quantifiers_skolemize @t242 11)) % 21.21/21.44 (define @t266 () (@quantifiers_skolemize @t242 4)) % 21.21/21.44 (define @t267 () (@quantifiers_skolemize @t242 10)) % 21.21/21.44 (define @t268 () (@quantifiers_skolemize @t242 9)) % 21.21/21.44 (define @t269 () (not @t251)) % 21.21/21.44 (define @t270 () (or (not (tptp.perp @t243 @t246 @t257 @t244)) (not (tptp.perp @t243 @t257 @t246 @t244)) (not (tptp.perp @t246 @t257 @t243 @t244)) @t269 (not (tptp.perp @t243 @t246 @t249 @t266)) (not (tptp.midp @t268 @t243 @t257)) (not (tptp.perp @t243 @t257 @t268 @t266)) (not (tptp.midp @t267 @t246 @t257)) (not (tptp.perp @t246 @t257 @t267 @t266)) (not (tptp.midp @t265 @t243 @t244)) (not (tptp.perp @t243 @t244 @t265 @t262)) (not (tptp.midp @t264 @t243 @t246)) (not (tptp.perp @t243 @t246 @t264 @t262)) (not (tptp.midp @t263 @t244 @t246)) (not (tptp.perp @t244 @t246 @t263 @t262)) (not (tptp.midp @t261 @t246 @t244)) (not (tptp.perp @t246 @t244 @t261 @t253)) (not (tptp.midp @t260 @t246 @t257)) (not (tptp.perp @t246 @t257 @t260 @t253)) (not (tptp.midp @t259 @t244 @t257)) (not (tptp.perp @t244 @t257 @t259 @t253)) (not (tptp.midp @t258 @t257 @t244)) (not (tptp.perp @t257 @t244 @t258 @t252)) (not (tptp.midp @t256 @t257 @t243)) (not (tptp.perp @t257 @t243 @t256 @t252)) (not (tptp.midp @t255 @t244 @t243)) (not (tptp.perp @t244 @t243 @t255 @t252)) @t254)) % 21.21/21.44 (define @t271 () (@list true)) % 21.21/21.44 (define @t272 () (@list @t270)) % 21.21/21.44 (define @t273 () (tptp.para @t243 @t243 @t246 @t246)) % 21.21/21.44 (define @t274 () (or @t269 @t269 @t273)) % 21.21/21.44 (define @t275 () (@list false false)) % 21.21/21.44 (define @t276 () (tptp.para @t246 @t246 @t243 @t243)) % 21.21/21.44 (define @t277 () (not @t273)) % 21.21/21.44 (define @t278 () (or @t277 @t276)) % 21.21/21.44 (define @t279 () (tptp.para @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t280 () (not @t276)) % 21.21/21.44 (define @t281 () (or @t277 @t280 @t279)) % 21.21/21.44 (define @t282 () (@list false false false)) % 21.21/21.44 (define @t283 () (tptp.eqangle @t243 @t243 @t244 @t243 @t243 @t243 @t244 @t243)) % 21.21/21.44 (define @t284 () (not @t279)) % 21.21/21.44 (define @t285 () (or @t284 @t283)) % 21.21/21.44 (define @t286 () (tptp.eqangle @t244 @t243 @t243 @t243 @t244 @t243 @t243 @t243)) % 21.21/21.44 (define @t287 () (not @t283)) % 21.21/21.44 (define @t288 () (or @t287 @t286)) % 21.21/21.44 (define @t289 () (tptp.eqangle @t243 @t244 @t243 @t243 @t244 @t243 @t243 @t243)) % 21.21/21.44 (define @t290 () (not @t286)) % 21.21/21.44 (define @t291 () (or @t290 @t289)) % 21.21/21.44 (define @t292 () (tptp.para @t243 @t244 @t244 @t243)) % 21.21/21.44 (define @t293 () (not @t289)) % 21.21/21.44 (define @t294 () (or @t293 @t292)) % 21.21/21.44 (define @t295 () (tptp.para @t244 @t243 @t243 @t244)) % 21.21/21.44 (define @t296 () (not @t292)) % 21.21/21.44 (define @t297 () (or @t296 @t295)) % 21.21/21.44 (define @t298 () (not @t149)) % 21.21/21.44 (define @t299 () (not @t55)) % 21.21/21.44 (define @t300 () (tptp.eqangle @t243 @t243 @t243 @t244 @t243 @t243 @t243 @t244)) % 21.21/21.44 (define @t301 () (or @t284 @t300)) % 21.21/21.44 (define @t302 () (tptp.eqangle @t243 @t243 @t243 @t243 @t243 @t244 @t243 @t244)) % 21.21/21.44 (define @t303 () (not @t300)) % 21.21/21.44 (define @t304 () (or @t303 @t302)) % 21.21/21.44 (define @t305 () (tptp.eqangle @t243 @t244 @t243 @t244 @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t306 () (not @t302)) % 21.21/21.44 (define @t307 () (or @t306 @t305)) % 21.21/21.44 (define @t308 () (not @t125)) % 21.21/21.44 (define @t309 () (not @t126)) % 21.21/21.44 (define @t310 () (@list @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t311 () (not @t94)) % 21.21/21.44 (define @t312 () (not @t95)) % 21.21/21.44 (define @t313 () (not @t96)) % 21.21/21.44 (define @t314 () (not @t97)) % 21.21/21.44 (define @t315 () (or @t314 @t313 @t312 @t311)) % 21.21/21.44 (define @t316 () (@list @t243 @t243 @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t317 () (tptp.eqangle @t243 @t243 @t243 @t243 @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t318 () (or @t284 @t317)) % 21.21/21.44 (define @t319 () (not @t90)) % 21.21/21.44 (define @t320 () (not @t83)) % 21.21/21.44 (define @t321 () (@list @t243 @t243 @t243)) % 21.21/21.44 (define @t322 () (tptp.coll @t243 @t243 @t243)) % 21.21/21.44 (define @t323 () (or @t284 @t322)) % 21.21/21.44 (define @t324 () (tptp.cyclic @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t325 () (not @t322)) % 21.21/21.44 (define @t326 () (not @t317)) % 21.21/21.44 (define @t327 () (or @t326 @t325 @t324)) % 21.21/21.44 (define @t328 () (tptp.cong @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t329 () (not @t324)) % 21.21/21.44 (define @t330 () (or @t329 @t329 @t329 @t326 @t328)) % 21.21/21.44 (define @t331 () (tptp.perp @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t332 () (not @t328)) % 21.21/21.44 (define @t333 () (or @t332 @t332 @t331)) % 21.21/21.44 (define @t334 () (tptp.perp @t243 @t244 @t243 @t244)) % 21.21/21.44 (define @t335 () (not @t331)) % 21.21/21.44 (define @t336 () (not @t305)) % 21.21/21.44 (define @t337 () (or @t336 @t335 @t334)) % 21.21/21.44 (define @t338 () (tptp.perp @t244 @t243 @t243 @t244)) % 21.21/21.44 (define @t339 () (not @t334)) % 21.21/21.44 (define @t340 () (not @t295)) % 21.21/21.44 (define @t341 () (or @t340 @t339 @t338)) % 21.21/21.44 (define @t342 () (tptp.perp @t244 @t243 @t244 @t243)) % 21.21/21.44 (define @t343 () (not @t338)) % 21.21/21.44 (define @t344 () (or @t343 @t342)) % 21.21/21.44 (define @t345 () (not @t104)) % 21.21/21.44 (define @t346 () (not @t100)) % 21.21/21.44 (define @t347 () (not @t102)) % 21.21/21.44 (define @t348 () (or @t347 @t346 @t345)) % 21.21/21.44 (define @t349 () (@list @t243 @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t350 () (@list @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t351 () (@list @t243 @t243 @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t352 () (not @t47)) % 21.21/21.44 (define @t353 () (not @t42)) % 21.21/21.44 (define @t354 () (@list @t243 @t243 @t243 @t243 @t252 @t243)) % 21.21/21.44 (define @t355 () (tptp.eqangle @t243 @t243 @t252 @t243 @t243 @t243 @t252 @t243)) % 21.21/21.44 (define @t356 () (or @t284 @t355)) % 21.21/21.44 (define @t357 () (tptp.eqangle @t243 @t243 @t243 @t243 @t252 @t243 @t252 @t243)) % 21.21/21.44 (define @t358 () (not @t355)) % 21.21/21.44 (define @t359 () (or @t358 @t357)) % 21.21/21.44 (define @t360 () (tptp.cyclic @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t361 () (tptp.coll @t243 @t252 @t243)) % 21.21/21.44 (define @t362 () (not @t357)) % 21.21/21.44 (define @t363 () (or @t362 @t361 @t360)) % 21.21/21.44 (define @t364 () (not @t361)) % 21.21/21.44 (define @t365 () (or @t362 @t364 @t360)) % 21.21/21.44 (define @t366 () (@list false false false false false)) % 21.21/21.44 (define @t367 () (tptp.cyclic @t243 @t243 @t252 @t243)) % 21.21/21.44 (define @t368 () (not @t360)) % 21.21/21.44 (define @t369 () (or @t368 @t367)) % 21.21/21.44 (define @t370 () (tptp.cyclic @t243 @t252 @t243 @t243)) % 21.21/21.44 (define @t371 () (not @t367)) % 21.21/21.44 (define @t372 () (or @t371 @t371 @t370)) % 21.21/21.44 (define @t373 () (tptp.cyclic @t243 @t243 @t252 @t252)) % 21.21/21.44 (define @t374 () (or @t368 @t368 @t373)) % 21.21/21.44 (define @t375 () (tptp.cyclic @t243 @t252 @t243 @t252)) % 21.21/21.44 (define @t376 () (not @t373)) % 21.21/21.44 (define @t377 () (or @t371 @t376 @t375)) % 21.21/21.44 (define @t378 () (tptp.eqangle @t243 @t243 @t243 @t252 @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t379 () (or @t284 @t378)) % 21.21/21.44 (define @t380 () (tptp.cong @t243 @t252 @t243 @t252)) % 21.21/21.44 (define @t381 () (not @t378)) % 21.21/21.44 (define @t382 () (not @t370)) % 21.21/21.44 (define @t383 () (not @t375)) % 21.21/21.44 (define @t384 () (or @t382 @t383 @t382 @t381 @t380)) % 21.21/21.44 (define @t385 () (@list false false false false)) % 21.21/21.44 (define @t386 () (tptp.perp @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t387 () (not @t380)) % 21.21/21.44 (define @t388 () (or @t332 @t387 @t386)) % 21.21/21.44 (define @t389 () (tptp.para @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t390 () (not @t386)) % 21.21/21.44 (define @t391 () (or @t335 @t390 @t389)) % 21.21/21.44 (define @t392 () (tptp.para @t243 @t252 @t243 @t243)) % 21.21/21.44 (define @t393 () (not @t389)) % 21.21/21.44 (define @t394 () (or @t393 @t392)) % 21.21/21.44 (define @t395 () (not @t10)) % 21.21/21.44 (define @t396 () (tptp.coll @t243 @t243 @t252)) % 21.21/21.44 (define @t397 () (or @t393 @t396)) % 21.21/21.44 (define @t398 () (not @t396)) % 21.21/21.44 (define @t399 () (or @t325 @t398 @t361)) % 21.21/21.44 (define @t400 () (tptp.coll @t252 @t243 @t243)) % 21.21/21.44 (define @t401 () (or @t364 @t400)) % 21.21/21.44 (define @t402 () (not @t139)) % 21.21/21.44 (define @t403 () (tptp.midp @t243 @t243 @t243)) % 21.21/21.44 (define @t404 () (or @t332 @t325 @t403)) % 21.21/21.44 (define @t405 () (tptp.midp @t252 @t243 @t243)) % 21.21/21.44 (define @t406 () (not @t400)) % 21.21/21.44 (define @t407 () (not @t392)) % 21.21/21.44 (define @t408 () (not @t403)) % 21.21/21.44 (define @t409 () (or @t408 @t407 @t406 @t405)) % 21.21/21.44 (define @t410 () (not @t119)) % 21.21/21.44 (define @t411 () (not @t120)) % 21.21/21.44 (define @t412 () (tptp.cong @t243 @t252 @t244 @t252)) % 21.21/21.44 (define @t413 () (not @t405)) % 21.21/21.44 (define @t414 () (tptp.perp @t243 @t244 @t244 @t243)) % 21.21/21.44 (define @t415 () (not @t414)) % 21.21/21.44 (define @t416 () (or @t415 @t413 @t412)) % 21.21/21.44 (define @t417 () (@list @t243 @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t418 () (@list @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t419 () (@list @t243 @t243 @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t420 () (@list @t243 @t243 @t243 @t243 @t253 @t243)) % 21.21/21.44 (define @t421 () (tptp.eqangle @t243 @t243 @t253 @t243 @t243 @t243 @t253 @t243)) % 21.21/21.44 (define @t422 () (or @t284 @t421)) % 21.21/21.44 (define @t423 () (tptp.eqangle @t243 @t243 @t243 @t243 @t253 @t243 @t253 @t243)) % 21.21/21.44 (define @t424 () (not @t421)) % 21.21/21.44 (define @t425 () (or @t424 @t423)) % 21.21/21.44 (define @t426 () (tptp.cyclic @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t427 () (tptp.coll @t243 @t253 @t243)) % 21.21/21.44 (define @t428 () (not @t423)) % 21.21/21.44 (define @t429 () (or @t428 @t427 @t426)) % 21.21/21.44 (define @t430 () (not @t427)) % 21.21/21.44 (define @t431 () (or @t428 @t430 @t426)) % 21.21/21.44 (define @t432 () (tptp.cyclic @t243 @t243 @t253 @t243)) % 21.21/21.44 (define @t433 () (not @t426)) % 21.21/21.44 (define @t434 () (or @t433 @t432)) % 21.21/21.44 (define @t435 () (tptp.cyclic @t243 @t253 @t243 @t243)) % 21.21/21.44 (define @t436 () (not @t432)) % 21.21/21.44 (define @t437 () (or @t436 @t436 @t435)) % 21.21/21.44 (define @t438 () (tptp.cyclic @t243 @t243 @t253 @t253)) % 21.21/21.44 (define @t439 () (or @t433 @t433 @t438)) % 21.21/21.44 (define @t440 () (tptp.cyclic @t243 @t253 @t243 @t253)) % 21.21/21.44 (define @t441 () (not @t438)) % 21.21/21.44 (define @t442 () (or @t436 @t441 @t440)) % 21.21/21.44 (define @t443 () (tptp.eqangle @t243 @t243 @t243 @t253 @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t444 () (or @t284 @t443)) % 21.21/21.44 (define @t445 () (tptp.cong @t243 @t253 @t243 @t253)) % 21.21/21.44 (define @t446 () (not @t443)) % 21.21/21.44 (define @t447 () (not @t435)) % 21.21/21.44 (define @t448 () (not @t440)) % 21.21/21.44 (define @t449 () (or @t447 @t448 @t447 @t446 @t445)) % 21.21/21.44 (define @t450 () (tptp.perp @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t451 () (not @t445)) % 21.21/21.44 (define @t452 () (or @t332 @t451 @t450)) % 21.21/21.44 (define @t453 () (tptp.para @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t454 () (not @t450)) % 21.21/21.44 (define @t455 () (or @t335 @t454 @t453)) % 21.21/21.44 (define @t456 () (tptp.para @t243 @t253 @t243 @t243)) % 21.21/21.44 (define @t457 () (not @t453)) % 21.21/21.44 (define @t458 () (or @t457 @t456)) % 21.21/21.44 (define @t459 () (tptp.coll @t243 @t243 @t253)) % 21.21/21.44 (define @t460 () (or @t457 @t459)) % 21.21/21.44 (define @t461 () (not @t459)) % 21.21/21.44 (define @t462 () (or @t325 @t461 @t427)) % 21.21/21.44 (define @t463 () (tptp.coll @t253 @t243 @t243)) % 21.21/21.44 (define @t464 () (or @t430 @t463)) % 21.21/21.44 (define @t465 () (tptp.midp @t253 @t243 @t243)) % 21.21/21.44 (define @t466 () (not @t463)) % 21.21/21.44 (define @t467 () (not @t456)) % 21.21/21.44 (define @t468 () (or @t408 @t467 @t466 @t465)) % 21.21/21.44 (define @t469 () (tptp.cong @t243 @t253 @t244 @t253)) % 21.21/21.44 (define @t470 () (not @t465)) % 21.21/21.44 (define @t471 () (or @t415 @t470 @t469)) % 21.21/21.44 (define @t472 () (not @t114)) % 21.21/21.44 (define @t473 () (not @t36)) % 21.21/21.44 (define @t474 () (not @t37)) % 21.21/21.44 (define @t475 () (not @t38)) % 21.21/21.44 (define @t476 () (tptp.circle @t243 @t243 @t243 @t243)) % 21.21/21.44 (define @t477 () (or @t332 @t332 @t476)) % 21.21/21.44 (define @t478 () (tptp.eqangle @t243 @t243 @t243 @t243 @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t479 () (not @t476)) % 21.21/21.44 (define @t480 () (or @t479 @t413 @t478)) % 21.21/21.44 (define @t481 () (tptp.cong @t243 @t243 @t243 @t252)) % 21.21/21.44 (define @t482 () (not @t478)) % 21.21/21.44 (define @t483 () (or @t329 @t368 @t329 @t482 @t481)) % 21.21/21.44 (define @t484 () (not @t70)) % 21.21/21.44 (define @t485 () (not @t66)) % 21.21/21.44 (define @t486 () (tptp.cong @t243 @t243 @t244 @t252)) % 21.21/21.44 (define @t487 () (not @t412)) % 21.21/21.44 (define @t488 () (not @t481)) % 21.21/21.44 (define @t489 () (or @t488 @t487 @t486)) % 21.21/21.44 (define @t490 () (tptp.eqangle @t243 @t243 @t243 @t243 @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t491 () (or @t479 @t470 @t490)) % 21.21/21.44 (define @t492 () (tptp.cong @t243 @t243 @t243 @t253)) % 21.21/21.44 (define @t493 () (not @t490)) % 21.21/21.44 (define @t494 () (or @t329 @t433 @t329 @t493 @t492)) % 21.21/21.44 (define @t495 () (tptp.cong @t243 @t243 @t244 @t253)) % 21.21/21.44 (define @t496 () (not @t469)) % 21.21/21.44 (define @t497 () (not @t492)) % 21.21/21.44 (define @t498 () (or @t497 @t496 @t495)) % 21.21/21.44 (define @t499 () (not @t486)) % 21.21/21.44 (define @t500 () (tptp.cong @t244 @t253 @t243 @t243)) % 21.21/21.44 (define @t501 () (not @t500)) % 21.21/21.44 (define @t502 () (or @t501 @t499 @t254)) % 21.21/21.44 (define @t503 () (not @t495)) % 21.21/21.44 (define @t504 () (or @t503 @t500)) % 21.21/21.44 (define @t505 () (not @t342)) % 21.21/21.44 (define @t506 () (or @t296 @t505 @t414)) % 21.21/21.44 (define @t507 () (not @t506)) % 21.21/21.44 (define @t508 () (forall @t22 @t213)) % 21.21/21.44 (assume @p1 (forall @t5 (=> @t4 (tptp.coll @t3 @t2 @t1)))) % 21.21/21.44 (assume @p2 @t7) % 21.21/21.44 (assume @p3 @t13) % 21.21/21.44 (assume @p4 (forall @t12 (=> @t14 (tptp.para @t3 @t1 @t8 @t2)))) % 21.21/21.44 (assume @p5 @t16) % 21.21/21.44 (assume @p6 @t23) % 21.21/21.44 (assume @p7 @t26) % 21.21/21.44 (assume @p8 (forall @t12 (=> @t25 (tptp.perp @t2 @t8 @t3 @t1)))) % 21.21/21.44 (assume @p9 @t29) % 21.21/21.44 (assume @p10 @t32) % 21.21/21.44 (assume @p11 (forall (@list @t3 @t1 @t33) (=> (tptp.midp @t33 @t1 @t3) @t34))) % 21.21/21.44 (assume @p12 @t41) % 21.21/21.44 (assume @p13 (forall @t43 (=> (and @t38 @t37 (tptp.cong @t35 @t3 @t35 @t8)) @t42))) % 21.21/21.44 (assume @p14 @t45) % 21.21/21.44 (assume @p15 (forall @t12 (=> @t42 (tptp.cyclic @t3 @t2 @t1 @t8)))) % 21.21/21.44 (assume @p16 (forall @t12 (=> @t42 (tptp.cyclic @t1 @t3 @t2 @t8)))) % 21.21/21.44 (assume @p17 @t49) % 21.21/21.44 (assume @p18 @t57) % 21.21/21.44 (assume @p19 @t59) % 21.21/21.44 (assume @p20 @t61) % 21.21/21.44 (assume @p21 @t63) % 21.21/21.44 (assume @p22 (forall (@list @t3 @t1 @t2 @t8 @t53 @t52 @t51 @t50 @t18 @t17 @t65 @t64) (=> (and @t55 (tptp.eqangle @t53 @t52 @t51 @t50 @t18 @t17 @t65 @t64)) (tptp.eqangle @t3 @t1 @t2 @t8 @t18 @t17 @t65 @t64)))) % 21.21/21.44 (assume @p23 (forall @t12 (=> @t66 (tptp.cong @t3 @t1 @t8 @t2)))) % 21.21/21.44 (assume @p24 @t68) % 21.21/21.44 (assume @p25 @t72) % 21.21/21.44 (assume @p26 (forall @t56 (=> @t73 (tptp.eqratio @t1 @t3 @t2 @t8 @t53 @t52 @t51 @t50)))) % 21.21/21.44 (assume @p27 (forall @t56 (=> @t73 (tptp.eqratio @t2 @t8 @t3 @t1 @t51 @t50 @t53 @t52)))) % 21.21/21.44 (assume @p28 (forall @t56 (=> @t73 (tptp.eqratio @t53 @t52 @t51 @t50 @t3 @t1 @t2 @t8)))) % 21.21/21.44 (assume @p29 (forall @t56 (=> @t73 (tptp.eqratio @t3 @t1 @t53 @t52 @t2 @t8 @t51 @t50)))) % 21.21/21.44 (assume @p30 (forall (@list @t3 @t1 @t2 @t8 @t18 @t17 @t65 @t64 @t53 @t52 @t51 @t50) (=> (and @t73 (tptp.eqratio @t53 @t52 @t51 @t50 @t18 @t17 @t65 @t64)) (tptp.eqratio @t3 @t1 @t2 @t8 @t18 @t17 @t65 @t64)))) % 21.21/21.44 (assume @p31 (forall @t76 (=> (tptp.simtri @t3 @t2 @t1 @t53 @t74 @t52) @t75))) % 21.21/21.44 (assume @p32 (forall @t76 (=> (tptp.simtri @t1 @t3 @t2 @t52 @t53 @t74) @t75))) % 21.21/21.44 (assume @p33 (forall @t76 (=> (tptp.simtri @t53 @t52 @t74 @t3 @t1 @t2) @t75))) % 21.21/21.44 (assume @p34 (forall @t77 (=> (and (tptp.simtri @t3 @t1 @t2 @t18 @t17 @t65) (tptp.simtri @t18 @t17 @t65 @t53 @t52 @t74)) @t75))) % 21.21/21.44 (assume @p35 (forall @t76 (=> (tptp.contri @t3 @t2 @t1 @t53 @t74 @t52) @t78))) % 21.21/21.44 (assume @p36 (forall @t76 (=> (tptp.contri @t1 @t3 @t2 @t52 @t53 @t74) @t78))) % 21.21/21.44 (assume @p37 (forall @t76 (=> (tptp.contri @t53 @t52 @t74 @t3 @t1 @t2) @t78))) % 21.21/21.44 (assume @p38 (forall @t77 (=> (and (tptp.contri @t3 @t1 @t2 @t18 @t17 @t65) (tptp.contri @t18 @t17 @t65 @t53 @t52 @t74)) @t78))) % 21.21/21.44 (assume @p39 @t81) % 21.21/21.44 (assume @p40 @t82) % 21.21/21.44 (assume @p41 (forall @t85 (=> @t84 @t83))) % 21.21/21.44 (assume @p42 @t89) % 21.21/21.44 (assume @p43 @t92) % 21.21/21.44 (assume @p44 @t99) % 21.21/21.44 (assume @p45 (forall @t103 (=> (and @t102 @t101) @t100))) % 21.21/21.44 (assume @p46 @t106) % 21.21/21.44 (assume @p47 (forall @t108 (=> @t38 @t107))) % 21.21/21.44 (assume @p48 (forall @t108 (=> (and @t107 (not (tptp.coll @t35 @t3 @t1))) @t38))) % 21.21/21.44 (assume @p49 (forall @t112 (=> (and @t36 @t111) @t110))) % 21.21/21.44 (assume @p50 (forall @t112 (=> (and @t36 @t110) @t111))) % 21.21/21.44 (assume @p51 @t117) % 21.21/21.44 (assume @p52 (forall @t116 (=> (and @t36 (tptp.coll @t33 @t1 @t2) @t113) @t114))) % 21.21/21.44 (assume @p53 @t122) % 21.21/21.44 (assume @p54 (forall @t40 (=> (and @t36 @t123) @t120))) % 21.21/21.44 (assume @p55 (forall @t12 (=> (and @t42 @t14) (tptp.eqangle @t3 @t8 @t2 @t8 @t2 @t8 @t2 @t1)))) % 21.21/21.44 (assume @p56 (forall (@list @t3 @t1 @t33 @t35) (=> (and @t34 (tptp.perp @t35 @t33 @t3 @t1)) @t38))) % 21.21/21.44 (assume @p57 @t128) % 21.21/21.44 (assume @p58 (forall @t85 (=> (and @t126 @t125 @t84) (tptp.perp @t53 @t3 @t3 @t52)))) % 21.21/21.44 (assume @p59 (forall @t76 (=> (and @t130 (tptp.eqangle @t3 @t2 @t1 @t2 @t53 @t74 @t52 @t74) @t129) @t75))) % 21.21/21.44 (assume @p60 (forall @t76 (=> @t75 (tptp.eqratio @t3 @t1 @t3 @t2 @t53 @t52 @t53 @t74)))) % 21.21/21.44 (assume @p61 (forall @t76 (=> @t75 @t130))) % 21.21/21.44 (assume @p62 (forall @t76 (=> (and @t75 @t93) @t78))) % 21.21/21.44 (assume @p63 (forall @t76 (=> @t78 @t93))) % 21.21/21.44 (assume @p64 @t135) % 21.21/21.44 (assume @p65 (forall @t134 (=> (and @t34 @t131 (tptp.para @t3 @t8 @t1 @t2)) @t132))) % 21.21/21.44 (assume @p66 (forall @t43 (=> (and @t14 @t123 (tptp.coll @t35 @t1 @t8)) (tptp.eqratio @t35 @t3 @t3 @t2 @t35 @t1 @t1 @t8)))) % 21.21/21.44 (assume @p67 @t137) % 21.21/21.44 (assume @p68 @t141) % 21.21/21.44 (assume @p69 (forall @t5 (=> @t138 @t139))) % 21.21/21.44 (assume @p70 (forall @t5 (=> @t138 @t4))) % 21.21/21.44 (assume @p71 (forall @t145 (=> @t144 (tptp.eqratio @t33 @t3 @t3 @t1 @t142 @t2 @t2 @t8)))) % 21.21/21.44 (assume @p72 (forall @t12 (=> (and @t147 @t146) @t25))) % 21.21/21.44 (assume @p73 (forall @t12 (=> (and @t147 @t148) @t14))) % 21.21/21.44 (assume @p74 (forall @t56 (=> (and @t55 (tptp.para @t53 @t52 @t51 @t50)) @t14))) % 21.21/21.44 (assume @p75 @t151) % 21.21/21.44 (assume @p76 (forall @t56 (=> (and @t73 (tptp.cong @t53 @t52 @t51 @t50)) @t66))) % 21.21/21.44 (assume @p77 (forall (@list @t3 @t33 @t35 @t109) (exists (@list @t1) (=> (and (tptp.perp @t35 @t33 @t33 @t3) (tptp.eqangle @t109 @t35 @t33 @t35 @t33 @t35 @t3 @t35)) (and @t152 (tptp.coll @t1 @t35 @t109)))))) % 21.21/21.44 (assume @p78 (forall @t156 (exists @t155 (=> (and @t38 @t154) @t153)))) % 21.21/21.44 (assume @p79 (forall @t156 (exists @t155 (=> (and @t157 @t154) @t153)))) % 21.21/21.44 (assume @p80 (forall @t156 (exists @t155 (=> (and @t157 @t38) @t153)))) % 21.21/21.44 (assume @p81 (forall (@list @t3 @t1 @t53 @t109 @t158) (exists (@list @t52) (=> (and (tptp.eqangle @t3 @t53 @t1 @t53 @t3 @t109 @t1 @t158) (not (tptp.coll @t3 @t1 @t53))) (and (tptp.eqangle @t3 @t53 @t1 @t53 @t3 @t52 @t1 @t52) (tptp.cyclic @t109 @t1 @t53 @t52)))))) % 21.21/21.44 (assume @p82 (forall @t145 (exists @t159 (=> @t144 (and (tptp.midp @t53 @t3 @t8) (tptp.para @t53 @t33 @t1 @t8) (tptp.para @t53 @t142 @t3 @t2)))))) % 21.21/21.44 (assume @p83 (forall (@list @t3 @t1 @t2 @t8 @t33 @t142 @t52) (exists @t159 (=> (and @t34 @t143 (tptp.coll @t2 @t3 @t1) (tptp.coll @t8 @t3 @t1)) (tptp.midp @t53 @t3 @t52))))) % 21.21/21.44 (assume @p84 (forall (@list @t3 @t1 @t33 @t53 @t52 @t74 @t33) (exists (@list @t109) (=> (and @t34 (tptp.para @t3 @t53 @t74 @t33) (tptp.para @t3 @t53 @t1 @t52) @t160) (and (tptp.coll @t109 @t3 @t52) (tptp.coll @t109 @t33 @t74)))))) % 21.21/21.44 (assume @p85 (forall @t43 (exists @t159 (=> (and (tptp.cong @t35 @t2 @t35 @t8) (tptp.perp @t3 @t1 @t1 @t35)) (and (tptp.cong @t35 @t2 @t35 @t53) (tptp.para @t53 @t2 @t3 @t1) (tptp.cong @t1 @t2 @t1 @t53)))))) % 21.21/21.44 (assume @p86 (forall (@list @t3 @t1 @t2 @t64) (exists @t161 (=> (and (tptp.perp @t3 @t64 @t1 @t2) (tptp.perp @t1 @t64 @t3 @t2)) (and (tptp.coll @t53 @t2 @t1) (tptp.perp @t3 @t53 @t2 @t1) (tptp.coll @t52 @t2 @t3) (tptp.perp @t1 @t52 @t2 @t3)))))) % 21.21/21.44 (assume @p87 (forall @t40 (exists @t159 (=> @t36 (tptp.perp @t53 @t3 @t3 @t35))))) % 21.21/21.44 (assume @p88 (forall @t145 (exists @t161 (=> (and (tptp.circle @t33 @t3 @t1 @t2) (tptp.cong @t33 @t3 @t33 @t8) (tptp.cong @t142 @t3 @t142 @t1) (not (= @t33 @t142))) (and @t162 (tptp.cong @t53 @t142 @t142 @t3) (tptp.coll @t52 @t1 @t8) (tptp.cong @t52 @t142 @t142 @t3)))))) % 21.21/21.44 (assume @p89 (forall @t134 (exists @t163 (=> (and @t42 @t14 @t34) @t36)))) % 21.21/21.44 (assume @p90 (forall @t12 (exists @t163 (=> (and @t164 @t42) @t36)))) % 21.21/21.44 (assume @p91 (forall @t103 (exists @t159 (=> (and @t164 (tptp.coll @t1 @t18 @t17)) (and (tptp.coll @t53 @t18 @t17) (tptp.perp @t53 @t3 @t18 @t17)))))) % 21.21/21.44 (assume @p92 (forall @t134 (exists @t159 (=> (and (tptp.perp @t3 @t1 @t3 @t2) (tptp.perp @t2 @t3 @t2 @t8) (tptp.midp @t33 @t1 @t8)) (tptp.midp @t53 @t3 @t2))))) % 21.21/21.44 (assume @p93 (forall @t108 (exists (@list @t2) (=> (and @t38 (tptp.perp @t3 @t35 @t35 @t1)) (and (tptp.coll @t3 @t35 @t2) @t37))))) % 21.21/21.44 (assume @p94 (forall @t80 (exists (@list @t74) (=> (and @t14 @t162 (tptp.coll @t53 @t1 @t8) (tptp.coll @t52 @t3 @t1)) (and @t160 (tptp.coll @t74 @t2 @t8)))))) % 21.21/21.44 (assume @p95 @t211) % 21.21/21.44 (assume @p96 true) % 21.21/21.44 (step @p97 :rule aci_norm :args ((= (or (or @t146 @t212) @t30) @t213))) % 21.21/21.44 (step @p98 :rule refl :args (@t30)) % 21.21/21.44 (step @p99 :rule bool-and-de-morgan :args (@t14 @t27 true)) % 21.21/21.44 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t31) @t30))) % 21.21/21.44 (step @p101 :rule trans :premises (@p100 @p97)) % 21.21/21.44 (step @p102 :rule bool-impl-elim :args (@t31 @t30)) % 21.21/21.44 (step @p103 :rule trans :premises (@p102 @p101)) % 21.21/21.44 (step @p104 :rule cong :premises (@p103) :args (@t32)) % 21.21/21.44 (step @p105 :rule eq_resolve :premises (@p10 @p104)) % 21.21/21.44 (step @p106 :rule bool-impl-elim :args (@t79 @t14)) % 21.21/21.44 (step @p107 :rule cong :premises (@p106) :args (@t81)) % 21.21/21.44 (step @p108 :rule eq_resolve :premises (@p39 @p107)) % 21.21/21.44 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t243 @t244 @t244 @t243 @t243 @t243))) % 21.21/21.44 (step @p110 :rule bool-impl-elim :args (@t55 @t54)) % 21.21/21.44 (step @p111 :rule cong :premises (@p110) :args (@t57)) % 21.21/21.44 (step @p112 :rule eq_resolve :premises (@p18 @p111)) % 21.21/21.44 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t244 @t243 @t243 @t243 @t244 @t243 @t243 @t243))) % 21.21/21.44 (step @p114 :rule bool-impl-elim :args (@t55 @t58)) % 21.21/21.44 (step @p115 :rule cong :premises (@p114) :args (@t59)) % 21.21/21.44 (step @p116 :rule eq_resolve :premises (@p19 @p115)) % 21.21/21.44 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t243 @t243 @t244 @t243 @t243 @t243 @t244 @t243))) % 21.21/21.44 (step @p118 :rule bool-impl-elim :args (@t14 @t79)) % 21.21/21.44 (step @p119 :rule cong :premises (@p118) :args (@t82)) % 21.21/21.44 (step @p120 :rule eq_resolve :premises (@p40 @p119)) % 21.21/21.44 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t243 @t243 @t243 @t243 @t244 @t243))) % 21.21/21.44 (step @p122 :rule aci_norm :args ((= (or (or @t146 @t245) @t19) (or @t146 @t245 @t19)))) % 21.21/21.44 (step @p123 :rule refl :args (@t19)) % 21.21/21.44 (step @p124 :rule bool-and-de-morgan :args (@t14 @t20 true)) % 21.21/21.44 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t21) @t19))) % 21.21/21.44 (step @p126 :rule trans :premises (@p125 @p122)) % 21.21/21.44 (step @p127 :rule bool-impl-elim :args (@t21 @t19)) % 21.21/21.44 (step @p128 :rule trans :premises (@p127 @p126)) % 21.21/21.44 (step @p129 :rule cong :premises (@p128) :args (@t23)) % 21.21/21.44 (step @p130 :rule eq_resolve :premises (@p6 @p129)) % 21.21/21.44 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t243 @t243 @t246 @t246 @t243 @t243))) % 21.21/21.44 (step @p132 :rule aci_norm :args ((= (or (or @t248 @t247) @t131) (or @t248 @t247 @t131)))) % 21.21/21.44 (step @p133 :rule refl :args (@t131)) % 21.21/21.44 (step @p134 :rule bool-and-de-morgan :args (@t34 @t132 true)) % 21.21/21.44 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t133) @t131))) % 21.21/21.44 (step @p136 :rule trans :premises (@p135 @p132)) % 21.21/21.44 (step @p137 :rule bool-impl-elim :args (@t133 @t131)) % 21.21/21.44 (step @p138 :rule trans :premises (@p137 @p136)) % 21.21/21.44 (step @p139 :rule cong :premises (@p138) :args (@t135)) % 21.21/21.44 (step @p140 :rule eq_resolve :premises (@p64 @p139)) % 21.21/21.44 (step @p141 :rule instantiate :premises (@p140) :args ((@list @t243 @t246 @t243 @t246 @t249))) % 21.21/21.44 (step @p142 :rule aci_norm :args ((= (or @t250 @t167) @t241))) % 21.21/21.44 (step @p143 :rule refl :args (@t167)) % 21.21/21.44 (step @p144 :rule aci_norm :args ((= (or @t240 (or @t239 (or @t238 (or @t237 (or @t236 (or @t235 (or @t234 (or @t233 (or @t232 (or @t231 (or @t230 (or @t229 (or @t228 (or @t227 (or @t226 (or @t225 (or @t224 (or @t223 (or @t222 (or @t221 (or @t220 (or @t219 (or @t218 (or @t217 (or @t216 (or @t215 @t214)))))))))))))))))))))))))) @t250))) % 21.21/21.44 (step @p145 :rule bool-and-de-morgan :args (@t170 @t169 true)) % 21.21/21.44 (step @p146 :rule refl :args (@t216)) % 21.21/21.44 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t216 (not (and @t170 @t169))))) % 21.21/21.44 (step @p148 :rule bool-and-de-morgan :args (@t172 @t170 (and @t169))) % 21.21/21.44 (step @p149 :rule trans :premises (@p148 @p147)) % 21.21/21.44 (step @p150 :rule refl :args (@t217)) % 21.21/21.44 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t217 (not (and @t172 @t170 @t169))))) % 21.21/21.44 (step @p152 :rule bool-and-de-morgan :args (@t173 @t172 (and @t170 @t169))) % 21.21/21.44 (step @p153 :rule trans :premises (@p152 @p151)) % 21.21/21.44 (step @p154 :rule refl :args (@t218)) % 21.21/21.44 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t218 (not (and @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p156 :rule bool-and-de-morgan :args (@t175 @t173 (and @t172 @t170 @t169))) % 21.21/21.44 (step @p157 :rule trans :premises (@p156 @p155)) % 21.21/21.44 (step @p158 :rule refl :args (@t219)) % 21.21/21.44 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t219 (not (and @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p160 :rule bool-and-de-morgan :args (@t176 @t175 (and @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p161 :rule trans :premises (@p160 @p159)) % 21.21/21.44 (step @p162 :rule refl :args (@t220)) % 21.21/21.44 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t220 (not (and @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p164 :rule bool-and-de-morgan :args (@t178 @t176 (and @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p165 :rule trans :premises (@p164 @p163)) % 21.21/21.44 (step @p166 :rule refl :args (@t221)) % 21.21/21.44 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t221 (not (and @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p168 :rule bool-and-de-morgan :args (@t179 @t178 (and @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p169 :rule trans :premises (@p168 @p167)) % 21.21/21.44 (step @p170 :rule refl :args (@t222)) % 21.21/21.44 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or @t222 (not (and @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p172 :rule bool-and-de-morgan :args (@t181 @t179 (and @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p173 :rule trans :premises (@p172 @p171)) % 21.21/21.44 (step @p174 :rule refl :args (@t223)) % 21.21/21.44 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t223 (not (and @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p176 :rule bool-and-de-morgan :args (@t182 @t181 (and @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p177 :rule trans :premises (@p176 @p175)) % 21.21/21.44 (step @p178 :rule refl :args (@t224)) % 21.21/21.44 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t224 (not (and @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p180 :rule bool-and-de-morgan :args (@t184 @t182 (and @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p181 :rule trans :premises (@p180 @p179)) % 21.21/21.44 (step @p182 :rule refl :args (@t225)) % 21.21/21.44 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t225 (not (and @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p184 :rule bool-and-de-morgan :args (@t185 @t184 (and @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p185 :rule trans :premises (@p184 @p183)) % 21.21/21.44 (step @p186 :rule refl :args (@t226)) % 21.21/21.44 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t226 (not (and @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p188 :rule bool-and-de-morgan :args (@t188 @t185 (and @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p189 :rule trans :premises (@p188 @p187)) % 21.21/21.44 (step @p190 :rule refl :args (@t227)) % 21.21/21.44 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t227 (not (and @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p192 :rule bool-and-de-morgan :args (@t189 @t188 (and @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p193 :rule trans :premises (@p192 @p191)) % 21.21/21.44 (step @p194 :rule refl :args (@t228)) % 21.21/21.44 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t228 (not (and @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p196 :rule bool-and-de-morgan :args (@t191 @t189 (and @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p197 :rule trans :premises (@p196 @p195)) % 21.21/21.44 (step @p198 :rule refl :args (@t229)) % 21.21/21.44 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or @t229 (not (and @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p200 :rule bool-and-de-morgan :args (@t192 @t191 (and @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p201 :rule trans :premises (@p200 @p199)) % 21.21/21.44 (step @p202 :rule refl :args (@t230)) % 21.21/21.44 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t230 (not (and @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p204 :rule bool-and-de-morgan :args (@t194 @t192 (and @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p205 :rule trans :premises (@p204 @p203)) % 21.21/21.44 (step @p206 :rule refl :args (@t231)) % 21.21/21.44 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t231 (not (and @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p208 :rule bool-and-de-morgan :args (@t195 @t194 (and @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p209 :rule trans :premises (@p208 @p207)) % 21.21/21.44 (step @p210 :rule refl :args (@t232)) % 21.21/21.44 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t232 (not (and @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p212 :rule bool-and-de-morgan :args (@t197 @t195 (and @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p213 :rule trans :premises (@p212 @p211)) % 21.21/21.44 (step @p214 :rule refl :args (@t233)) % 21.21/21.44 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or @t233 (not (and @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p216 :rule bool-and-de-morgan :args (@t198 @t197 (and @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p217 :rule trans :premises (@p216 @p215)) % 21.21/21.44 (step @p218 :rule refl :args (@t234)) % 21.21/21.44 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t234 (not (and @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p220 :rule bool-and-de-morgan :args (@t200 @t198 (and @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p221 :rule trans :premises (@p220 @p219)) % 21.21/21.44 (step @p222 :rule refl :args (@t235)) % 21.21/21.44 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or @t235 (not (and @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p224 :rule bool-and-de-morgan :args (@t201 @t200 (and @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p225 :rule trans :premises (@p224 @p223)) % 21.21/21.44 (step @p226 :rule refl :args (@t236)) % 21.21/21.44 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or @t236 (not (and @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p228 :rule bool-and-de-morgan :args (@t203 @t201 (and @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p229 :rule trans :premises (@p228 @p227)) % 21.21/21.44 (step @p230 :rule refl :args (@t237)) % 21.21/21.44 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t237 (not (and @t203 @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p232 :rule bool-and-de-morgan :args (@t204 @t203 (and @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p233 :rule trans :premises (@p232 @p231)) % 21.21/21.44 (step @p234 :rule refl :args (@t238)) % 21.21/21.44 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t238 (not (and @t204 @t203 @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p236 :rule bool-and-de-morgan :args (@t205 @t204 (and @t203 @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p237 :rule trans :premises (@p236 @p235)) % 21.21/21.44 (step @p238 :rule refl :args (@t239)) % 21.21/21.44 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or @t239 (not (and @t205 @t204 @t203 @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p240 :rule bool-and-de-morgan :args (@t206 @t205 (and @t204 @t203 @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p241 :rule trans :premises (@p240 @p239)) % 21.21/21.44 (step @p242 :rule refl :args (@t240)) % 21.21/21.44 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t240 (not (and @t206 @t205 @t204 @t203 @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))))) % 21.21/21.44 (step @p244 :rule bool-and-de-morgan :args (@t207 @t206 (and @t205 @t204 @t203 @t201 @t200 @t198 @t197 @t195 @t194 @t192 @t191 @t189 @t188 @t185 @t184 @t182 @t181 @t179 @t178 @t176 @t175 @t173 @t172 @t170 @t169))) % 21.21/21.44 (step @p245 :rule trans :premises (@p244 @p243)) % 21.21/21.44 (step @p246 :rule trans :premises (@p245 @p144)) % 21.21/21.44 (step @p247 :rule nary_cong :premises (@p246 @p143) :args ((or (not @t208) @t167))) % 21.21/21.44 (step @p248 :rule trans :premises (@p247 @p142)) % 21.21/21.44 (step @p249 :rule bool-impl-elim :args (@t208 @t167)) % 21.21/21.44 (step @p250 :rule trans :premises (@p249 @p248)) % 21.21/21.44 (step @p251 :rule cong :premises (@p250) :args (@t210)) % 21.21/21.44 (step @p252 :rule cong :premises (@p251) :args (@t211)) % 21.21/21.44 (step @p253 :rule eq_resolve :premises (@p95 @p252)) % 21.21/21.44 (step @p254 :rule skolemize :premises (@p253)) % 21.21/21.44 (step @p255 :rule bool-double-not-elim :args (@t251)) % 21.21/21.44 (step @p256 :rule refl :args (@t270)) % 21.21/21.44 (step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or @t270 (not @t269)))) % 21.21/21.44 (step @p258 :rule cnf_or_neg :args (@t270 3)) % 21.21/21.44 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 21.21/21.44 (step @p260 :rule reordering :premises (@p259) :args ((or @t251 @t270))) % 21.21/21.44 (step @p261 :rule chain_m_resolution :premises (@p260 @p254) :args (@t251 @t271 @t272)) % 21.21/21.44 (step @p262 :rule cnf_or_pos :args (@t274)) % 21.21/21.44 (step @p263 :rule factoring :premises (@p262)) % 21.21/21.44 (step @p264 :rule reordering :premises (@p263) :args ((or @t269 @t273 (not @t274)))) % 21.21/21.44 (step @p265 :rule chain_m_resolution :premises (@p264 @p261 @p141) :args (@t273 @t275 (@list @t251 @t274))) % 21.21/21.44 (step @p266 :rule bool-impl-elim :args (@t14 @t15)) % 21.21/21.44 (step @p267 :rule cong :premises (@p266) :args (@t16)) % 21.21/21.44 (step @p268 :rule eq_resolve :premises (@p5 @p267)) % 21.21/21.44 (step @p269 :rule instantiate :premises (@p268) :args ((@list @t243 @t243 @t246 @t246))) % 21.21/21.44 (step @p270 :rule cnf_or_pos :args (@t278)) % 21.21/21.44 (step @p271 :rule reordering :premises (@p270) :args ((or @t276 @t277 (not @t278)))) % 21.21/21.44 (step @p272 :rule chain_m_resolution :premises (@p271 @p265 @p269) :args (@t276 @t275 (@list @t273 @t278))) % 21.21/21.44 (step @p273 :rule cnf_or_pos :args (@t281)) % 21.21/21.44 (step @p274 :rule reordering :premises (@p273) :args ((or @t279 @t280 @t277 (not @t281)))) % 21.21/21.44 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p265 @p131) :args (@t279 @t282 (@list @t276 @t273 @t281))) % 21.21/21.44 (step @p276 :rule cnf_or_pos :args (@t285)) % 21.21/21.44 (step @p277 :rule reordering :premises (@p276) :args ((or @t284 @t283 (not @t285)))) % 21.21/21.44 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p121) :args (@t283 @t275 (@list @t279 @t285))) % 21.21/21.44 (step @p279 :rule cnf_or_pos :args (@t288)) % 21.21/21.44 (step @p280 :rule reordering :premises (@p279) :args ((or @t287 @t286 (not @t288)))) % 21.21/21.44 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p117) :args (@t286 @t275 (@list @t283 @t288))) % 21.21/21.44 (step @p282 :rule cnf_or_pos :args (@t291)) % 21.21/21.44 (step @p283 :rule reordering :premises (@p282) :args ((or @t289 @t290 (not @t291)))) % 21.21/21.44 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p113) :args (@t289 @t275 (@list @t286 @t291))) % 21.21/21.44 (step @p285 :rule cnf_or_pos :args (@t294)) % 21.21/21.44 (step @p286 :rule reordering :premises (@p285) :args ((or @t292 @t293 (not @t294)))) % 21.21/21.44 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p109) :args (@t292 @t275 (@list @t289 @t294))) % 21.21/21.44 (step @p288 :rule bool-impl-elim :args (@t25 @t24)) % 21.21/21.44 (step @p289 :rule cong :premises (@p288) :args (@t26)) % 21.21/21.44 (step @p290 :rule eq_resolve :premises (@p7 @p289)) % 21.21/21.44 (step @p291 :rule instantiate :premises (@p290) :args ((@list @t244 @t243 @t243 @t244))) % 21.21/21.44 (step @p292 :rule instantiate :premises (@p105) :args ((@list @t244 @t243 @t243 @t244 @t243 @t244))) % 21.21/21.44 (step @p293 :rule instantiate :premises (@p268) :args ((@list @t243 @t244 @t244 @t243))) % 21.21/21.44 (step @p294 :rule cnf_or_pos :args (@t297)) % 21.21/21.44 (step @p295 :rule reordering :premises (@p294) :args ((or @t295 @t296 (not @t297)))) % 21.21/21.44 (step @p296 :rule chain_m_resolution :premises 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@t36))) % 21.21/21.44 (step @p638 :rule trans :premises (@p637 @p634)) % 21.21/21.44 (step @p639 :rule bool-impl-elim :args (@t39 @t36)) % 21.21/21.44 (step @p640 :rule trans :premises (@p639 @p638)) % 21.21/21.44 (step @p641 :rule cong :premises (@p640) :args (@t41)) % 21.21/21.44 (step @p642 :rule eq_resolve :premises (@p12 @p641)) % 21.21/21.44 (step @p643 :rule instantiate :premises (@p642) :args (@t310)) % 21.21/21.44 (step @p644 :rule cnf_or_pos :args (@t477)) % 21.21/21.44 (step @p645 :rule factoring :premises (@p644)) % 21.21/21.44 (step @p646 :rule reordering :premises (@p645) :args ((or @t332 @t476 (not @t477)))) % 21.21/21.44 (step @p647 :rule chain_m_resolution :premises (@p646 @p382 @p643) :args (@t476 @t275 (@list @t328 @t477))) % 21.21/21.44 (step @p648 :rule cnf_or_pos :args (@t480)) % 21.21/21.44 (step @p649 :rule reordering :premises (@p648) :args ((or @t479 @t478 @t413 (not @t480)))) % 21.21/21.44 (step @p650 :rule chain_m_resolution :premises (@p649 @p647 @p537 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:args ((or @t329 @t433 @t493 @t492 (not @t494)))) % 21.21/21.44 (step @p675 :rule chain_m_resolution :premises (@p674 @p378 @p571 @p671 @p667) :args (@t492 @t385 (@list @t324 @t426 @t490 @t494))) % 21.21/21.44 (step @p676 :rule instantiate :premises (@p663) :args ((@list @t243 @t243 @t243 @t253 @t244 @t253))) % 21.21/21.44 (step @p677 :rule cnf_or_pos :args (@t498)) % 21.21/21.44 (step @p678 :rule reordering :premises (@p677) :args ((or @t497 @t495 @t496 (not @t498)))) % 21.21/21.44 (step @p679 :rule cnf_or_neg :args (@t270 27)) % 21.21/21.44 (step @p680 :rule chain_m_resolution :premises (@p679 @p254) :args ((not @t254) @t271 @t272)) % 21.21/21.44 (step @p681 :rule instantiate :premises (@p663) :args ((@list @t244 @t253 @t243 @t243 @t244 @t252))) % 21.21/21.44 (step @p682 :rule cnf_or_pos :args (@t502)) % 21.21/21.44 (step @p683 :rule reordering :premises (@p682) :args ((or @t254 @t499 @t501 (not @t502)))) % 21.21/21.44 (step @p684 :rule bool-impl-elim :args (@t66 @t67)) % 21.21/21.44 (step @p685 :rule cong :premises (@p684) :args (@t68)) % 21.21/21.44 (step @p686 :rule eq_resolve :premises (@p24 @p685)) % 21.21/21.44 (step @p687 :rule instantiate :premises (@p686) :args ((@list @t243 @t243 @t244 @t253))) % 21.21/21.44 (step @p688 :rule cnf_or_pos :args (@t504)) % 21.21/21.44 (step @p689 :rule reordering :premises (@p688) :args ((or @t503 @t500 (not @t504)))) % 21.21/21.44 (step @p690 :rule chain_m_resolution :premises (@p689 @p687 @p683 @p681 @p680 @p678 @p676 @p675 @p666 @p664 @p654 @p622 @p620 @p619 @p549 @p547 @p537) :args (@t415 (@list false true false true false false false false false false false false false false false false) (@list @t504 @t500 @t502 @t254 @t495 @t498 @t492 @t486 @t489 @t481 @t469 @t471 @t465 @t412 @t416 @t405))) % 21.21/21.44 (step @p691 :rule cnf_or_pos :args (@t506)) % 21.21/21.44 (step @p692 :rule reordering :premises (@p691) :args ((or @t414 @t505 @t296 @t507))) % 21.21/21.44 (step @p693 :rule chain_m_resolution :premises (@p692 @p690 @p395 @p287) :args (@t507 (@list true false false) (@list @t414 @t342 @t292))) % 21.21/21.44 (assume-push @p700 @t508) % 21.21/21.44 (step @p695 :rule instantiate :premises (@p105) :args ((@list @t243 @t244 @t244 @t243 @t244 @t243))) % 21.21/21.44 (step-pop @p701 :rule scope :premises (@p695)) % 21.21/21.44 (step @p696 :rule process_scope :premises (@p701) :args (@t506)) % 21.21/21.44 (step @p698 :rule implies_elim :premises (@p696)) % 21.21/21.44 (step @p699 false :rule chain_m_resolution :premises (@p698 @p693 @p105) :args (false (@list true false) (@list @t506 @t508))) % 21.21/21.44 ) % 21.21/21.44 % SZS output end Proof % 21.21/21.44 % cvc5 exiting %------------------------------------------------------------------------------