%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET055-6 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:47:09 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.67s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET055-6 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:48:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.67 % SZS status Unsatisfiable % 0.36/0.67 % SZS output start Proof % 0.36/0.68 ( % 0.36/0.68 (declare-sort $$unsorted 0) % 0.36/0.68 (declare-const tptp.identity_relation $$unsorted) % 0.36/0.68 (declare-const tptp.omega $$unsorted) % 0.36/0.68 (declare-const tptp.choice $$unsorted) % 0.36/0.68 (declare-const tptp.successor_relation $$unsorted) % 0.36/0.68 (declare-const tptp.element_relation $$unsorted) % 0.36/0.68 (declare-const tptp.universal_class $$unsorted) % 0.36/0.68 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.operation (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.subset_relation $$unsorted) % 0.36/0.68 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.x $$unsorted) % 0.36/0.68 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.null_class $$unsorted) % 0.36/0.68 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.inductive (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.68 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.68 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.68 (define @t3 () (tptp.equalish @t1 @t2)) % 0.36/0.68 (define @t4 () (not @t3)) % 0.36/0.68 (define @t5 () (@list @t1 @t2)) % 0.36/0.68 (define @t6 () (@var "Z" $$unsorted)) % 0.36/0.68 (define @t7 () (@var "F" $$unsorted)) % 0.36/0.68 (define @t8 () (@var "E" $$unsorted)) % 0.36/0.68 (define @t9 () (@var "D" $$unsorted)) % 0.36/0.68 (define @t10 () (@var "H" $$unsorted)) % 0.36/0.68 (define @t11 () (@var "I" $$unsorted)) % 0.36/0.68 (define @t12 () (@var "G" $$unsorted)) % 0.36/0.68 (define @t13 () (@var "K" $$unsorted)) % 0.36/0.68 (define @t14 () (@var "J" $$unsorted)) % 0.36/0.68 (define @t15 () (@var "M" $$unsorted)) % 0.36/0.68 (define @t16 () (@var "L" $$unsorted)) % 0.36/0.68 (define @t17 () (@var "P" $$unsorted)) % 0.36/0.68 (define @t18 () (@var "O" $$unsorted)) % 0.36/0.68 (define @t19 () (@var "N" $$unsorted)) % 0.36/0.68 (define @t20 () (@var "R" $$unsorted)) % 0.36/0.68 (define @t21 () (@var "S" $$unsorted)) % 0.36/0.68 (define @t22 () (@var "Q" $$unsorted)) % 0.36/0.68 (define @t23 () (@var "V" $$unsorted)) % 0.36/0.68 (define @t24 () (@var "U" $$unsorted)) % 0.36/0.68 (define @t25 () (@var "T" $$unsorted)) % 0.36/0.68 (define @t26 () (@var "W" $$unsorted)) % 0.36/0.68 (define @t27 () (@var "A1" $$unsorted)) % 0.36/0.68 (define @t28 () (@var "D1" $$unsorted)) % 0.36/0.68 (define @t29 () (@var "C1" $$unsorted)) % 0.36/0.68 (define @t30 () (@var "B1" $$unsorted)) % 0.36/0.68 (define @t31 () (@var "F1" $$unsorted)) % 0.36/0.68 (define @t32 () (@var "G1" $$unsorted)) % 0.36/0.68 (define @t33 () (@var "E1" $$unsorted)) % 0.36/0.68 (define @t34 () (@var "K1" $$unsorted)) % 0.36/0.68 (define @t35 () (@var "J1" $$unsorted)) % 0.36/0.68 (define @t36 () (@var "I1" $$unsorted)) % 0.36/0.68 (define @t37 () (@var "H1" $$unsorted)) % 0.36/0.68 (define @t38 () (@var "O1" $$unsorted)) % 0.36/0.68 (define @t39 () (@var "M1" $$unsorted)) % 0.36/0.68 (define @t40 () (@var "N1" $$unsorted)) % 0.36/0.68 (define @t41 () (@var "L1" $$unsorted)) % 0.36/0.68 (define @t42 () (@var "Q1" $$unsorted)) % 0.36/0.68 (define @t43 () (@var "S1" $$unsorted)) % 0.36/0.68 (define @t44 () (@var "R1" $$unsorted)) % 0.36/0.68 (define @t45 () (@var "P1" $$unsorted)) % 0.36/0.68 (define @t46 () (@var "U1" $$unsorted)) % 0.36/0.68 (define @t47 () (@var "T1" $$unsorted)) % 0.36/0.68 (define @t48 () (@var "W1" $$unsorted)) % 0.36/0.68 (define @t49 () (@var "V1" $$unsorted)) % 0.36/0.68 (define @t50 () (@var "Y1" $$unsorted)) % 0.36/0.68 (define @t51 () (@var "X1" $$unsorted)) % 0.36/0.68 (define @t52 () (@var "B2" $$unsorted)) % 0.36/0.68 (define @t53 () (@var "A2" $$unsorted)) % 0.36/0.68 (define @t54 () (@var "Z1" $$unsorted)) % 0.36/0.68 (define @t55 () (@var "D2" $$unsorted)) % 0.36/0.68 (define @t56 () (@var "E2" $$unsorted)) % 0.36/0.68 (define @t57 () (@var "C2" $$unsorted)) % 0.36/0.68 (define @t58 () (@var "H2" $$unsorted)) % 0.36/0.68 (define @t59 () (@var "G2" $$unsorted)) % 0.36/0.68 (define @t60 () (@var "F2" $$unsorted)) % 0.36/0.68 (define @t61 () (@var "J2" $$unsorted)) % 0.36/0.68 (define @t62 () (@var "K2" $$unsorted)) % 0.36/0.68 (define @t63 () (@var "I2" $$unsorted)) % 0.36/0.68 (define @t64 () (@var "M2" $$unsorted)) % 0.36/0.68 (define @t65 () (@var "L2" $$unsorted)) % 0.36/0.68 (define @t66 () (@var "Q2" $$unsorted)) % 0.36/0.68 (define @t67 () (@var "P2" $$unsorted)) % 0.36/0.68 (define @t68 () (@var "O2" $$unsorted)) % 0.36/0.68 (define @t69 () (@var "N2" $$unsorted)) % 0.36/0.68 (define @t70 () (@var "U2" $$unsorted)) % 0.36/0.68 (define @t71 () (@var "S2" $$unsorted)) % 0.36/0.68 (define @t72 () (@var "T2" $$unsorted)) % 0.36/0.68 (define @t73 () (@var "R2" $$unsorted)) % 0.36/0.68 (define @t74 () (@var "W2" $$unsorted)) % 0.36/0.68 (define @t75 () (@var "Y2" $$unsorted)) % 0.36/0.68 (define @t76 () (@var "X2" $$unsorted)) % 0.36/0.68 (define @t77 () (@var "V2" $$unsorted)) % 0.36/0.68 (define @t78 () (@var "C3" $$unsorted)) % 0.36/0.68 (define @t79 () (@var "B3" $$unsorted)) % 0.36/0.68 (define @t80 () (@var "A3" $$unsorted)) % 0.36/0.68 (define @t81 () (@var "Z2" $$unsorted)) % 0.36/0.68 (define @t82 () (@var "G3" $$unsorted)) % 0.36/0.68 (define @t83 () (@var "E3" $$unsorted)) % 0.36/0.68 (define @t84 () (@var "F3" $$unsorted)) % 0.36/0.68 (define @t85 () (@var "D3" $$unsorted)) % 0.36/0.68 (define @t86 () (@var "I3" $$unsorted)) % 0.36/0.68 (define @t87 () (@var "K3" $$unsorted)) % 0.36/0.68 (define @t88 () (@var "J3" $$unsorted)) % 0.36/0.68 (define @t89 () (@var "H3" $$unsorted)) % 0.36/0.68 (define @t90 () (@var "N3" $$unsorted)) % 0.36/0.68 (define @t91 () (@var "M3" $$unsorted)) % 0.36/0.68 (define @t92 () (@var "L3" $$unsorted)) % 0.36/0.68 (define @t93 () (@var "P3" $$unsorted)) % 0.36/0.68 (define @t94 () (@var "Q3" $$unsorted)) % 0.36/0.68 (define @t95 () (@var "O3" $$unsorted)) % 0.36/0.68 (define @t96 () (@var "T3" $$unsorted)) % 0.36/0.68 (define @t97 () (@var "S3" $$unsorted)) % 0.36/0.68 (define @t98 () (@var "R3" $$unsorted)) % 0.36/0.68 (define @t99 () (@var "V3" $$unsorted)) % 0.36/0.68 (define @t100 () (@var "W3" $$unsorted)) % 0.36/0.68 (define @t101 () (@var "U3" $$unsorted)) % 0.36/0.68 (define @t102 () (@var "Y3" $$unsorted)) % 0.36/0.68 (define @t103 () (@var "X3" $$unsorted)) % 0.36/0.68 (define @t104 () (@var "C4" $$unsorted)) % 0.36/0.68 (define @t105 () (@var "B4" $$unsorted)) % 0.36/0.68 (define @t106 () (@var "A4" $$unsorted)) % 0.36/0.68 (define @t107 () (@var "Z3" $$unsorted)) % 0.36/0.68 (define @t108 () (@var "G4" $$unsorted)) % 0.36/0.68 (define @t109 () (@var "E4" $$unsorted)) % 0.36/0.68 (define @t110 () (@var "F4" $$unsorted)) % 0.36/0.68 (define @t111 () (@var "D4" $$unsorted)) % 0.36/0.68 (define @t112 () (@var "I4" $$unsorted)) % 0.36/0.68 (define @t113 () (@var "K4" $$unsorted)) % 0.36/0.68 (define @t114 () (@var "J4" $$unsorted)) % 0.36/0.68 (define @t115 () (@var "H4" $$unsorted)) % 0.36/0.68 (define @t116 () (@var "M4" $$unsorted)) % 0.36/0.68 (define @t117 () (@var "L4" $$unsorted)) % 0.36/0.68 (define @t118 () (@var "O4" $$unsorted)) % 0.36/0.68 (define @t119 () (@var "N4" $$unsorted)) % 0.36/0.68 (define @t120 () (@var "S4" $$unsorted)) % 0.36/0.68 (define @t121 () (@var "R4" $$unsorted)) % 0.36/0.68 (define @t122 () (@var "Q4" $$unsorted)) % 0.36/0.68 (define @t123 () (@var "P4" $$unsorted)) % 0.36/0.68 (define @t124 () (@var "W4" $$unsorted)) % 0.36/0.68 (define @t125 () (@var "U4" $$unsorted)) % 0.36/0.68 (define @t126 () (@var "V4" $$unsorted)) % 0.36/0.68 (define @t127 () (@var "T4" $$unsorted)) % 0.36/0.68 (define @t128 () (@var "Y4" $$unsorted)) % 0.36/0.68 (define @t129 () (@var "A5" $$unsorted)) % 0.36/0.68 (define @t130 () (@var "Z4" $$unsorted)) % 0.36/0.68 (define @t131 () (@var "X4" $$unsorted)) % 0.36/0.68 (define @t132 () (@var "C5" $$unsorted)) % 0.36/0.68 (define @t133 () (@var "B5" $$unsorted)) % 0.36/0.68 (define @t134 () (@var "E5" $$unsorted)) % 0.36/0.68 (define @t135 () (@var "D5" $$unsorted)) % 0.36/0.68 (define @t136 () (@var "G5" $$unsorted)) % 0.36/0.68 (define @t137 () (@var "F5" $$unsorted)) % 0.36/0.68 (define @t138 () (@var "I5" $$unsorted)) % 0.36/0.68 (define @t139 () (@var "H5" $$unsorted)) % 0.36/0.68 (define @t140 () (@var "K5" $$unsorted)) % 0.36/0.68 (define @t141 () (@var "J5" $$unsorted)) % 0.36/0.68 (define @t142 () (@var "N5" $$unsorted)) % 0.36/0.68 (define @t143 () (@var "M5" $$unsorted)) % 0.36/0.68 (define @t144 () (@var "L5" $$unsorted)) % 0.36/0.68 (define @t145 () (@var "P5" $$unsorted)) % 0.36/0.68 (define @t146 () (@var "Q5" $$unsorted)) % 0.36/0.68 (define @t147 () (@var "O5" $$unsorted)) % 0.36/0.68 (define @t148 () (@var "T5" $$unsorted)) % 0.36/0.68 (define @t149 () (@var "S5" $$unsorted)) % 0.36/0.68 (define @t150 () (@var "R5" $$unsorted)) % 0.36/0.68 (define @t151 () (@var "V5" $$unsorted)) % 0.36/0.68 (define @t152 () (@var "W5" $$unsorted)) % 0.36/0.68 (define @t153 () (@var "U5" $$unsorted)) % 0.36/0.68 (define @t154 () (@var "A6" $$unsorted)) % 0.36/0.68 (define @t155 () (@var "Z5" $$unsorted)) % 0.36/0.68 (define @t156 () (@var "Y5" $$unsorted)) % 0.36/0.68 (define @t157 () (@var "X5" $$unsorted)) % 0.36/0.68 (define @t158 () (@var "E6" $$unsorted)) % 0.36/0.68 (define @t159 () (@var "C6" $$unsorted)) % 0.36/0.68 (define @t160 () (@var "D6" $$unsorted)) % 0.36/0.68 (define @t161 () (@var "B6" $$unsorted)) % 0.36/0.68 (define @t162 () (@var "G6" $$unsorted)) % 0.36/0.68 (define @t163 () (@var "I6" $$unsorted)) % 0.36/0.68 (define @t164 () (@var "H6" $$unsorted)) % 0.36/0.68 (define @t165 () (@var "F6" $$unsorted)) % 0.36/0.68 (define @t166 () (@var "K6" $$unsorted)) % 0.36/0.68 (define @t167 () (@var "J6" $$unsorted)) % 0.36/0.68 (define @t168 () (@var "O6" $$unsorted)) % 0.36/0.68 (define @t169 () (@var "N6" $$unsorted)) % 0.36/0.68 (define @t170 () (@var "M6" $$unsorted)) % 0.36/0.68 (define @t171 () (@var "L6" $$unsorted)) % 0.36/0.68 (define @t172 () (@var "S6" $$unsorted)) % 0.36/0.68 (define @t173 () (@var "Q6" $$unsorted)) % 0.36/0.68 (define @t174 () (@var "R6" $$unsorted)) % 0.36/0.68 (define @t175 () (@var "P6" $$unsorted)) % 0.36/0.68 (define @t176 () (@var "U6" $$unsorted)) % 0.36/0.68 (define @t177 () (@var "W6" $$unsorted)) % 0.36/0.68 (define @t178 () (@var "V6" $$unsorted)) % 0.36/0.68 (define @t179 () (@var "T6" $$unsorted)) % 0.36/0.68 (define @t180 () (@var "Y6" $$unsorted)) % 0.36/0.68 (define @t181 () (@var "X6" $$unsorted)) % 0.36/0.68 (define @t182 () (@var "B7" $$unsorted)) % 0.36/0.68 (define @t183 () (@var "A7" $$unsorted)) % 0.36/0.68 (define @t184 () (@var "Z6" $$unsorted)) % 0.36/0.68 (define @t185 () (@var "D7" $$unsorted)) % 0.36/0.68 (define @t186 () (@var "E7" $$unsorted)) % 0.36/0.68 (define @t187 () (@var "C7" $$unsorted)) % 0.36/0.68 (define @t188 () (@var "G7" $$unsorted)) % 0.36/0.68 (define @t189 () (@var "F7" $$unsorted)) % 0.36/0.68 (define @t190 () (@var "I7" $$unsorted)) % 0.36/0.68 (define @t191 () (@var "H7" $$unsorted)) % 0.36/0.68 (define @t192 () (@var "K7" $$unsorted)) % 0.36/0.68 (define @t193 () (@var "J7" $$unsorted)) % 0.36/0.68 (define @t194 () (@var "N7" $$unsorted)) % 0.36/0.68 (define @t195 () (@var "M7" $$unsorted)) % 0.36/0.68 (define @t196 () (@var "L7" $$unsorted)) % 0.36/0.68 (define @t197 () (@var "P7" $$unsorted)) % 0.36/0.68 (define @t198 () (@var "Q7" $$unsorted)) % 0.36/0.68 (define @t199 () (@var "O7" $$unsorted)) % 0.36/0.68 (define @t200 () (tptp.member @t24 @t1)) % 0.36/0.68 (define @t201 () (not @t200)) % 0.36/0.68 (define @t202 () (tptp.subclass @t1 @t2)) % 0.36/0.68 (define @t203 () (not @t202)) % 0.36/0.68 (define @t204 () (tptp.not_subclass_element @t1 @t2)) % 0.36/0.68 (define @t205 () (@list @t1)) % 0.36/0.68 (define @t206 () (tptp.subclass @t2 @t1)) % 0.36/0.68 (define @t207 () (tptp.unordered_pair @t1 @t2)) % 0.36/0.68 (define @t208 () (not (tptp.member @t1 tptp.universal_class))) % 0.36/0.68 (define @t209 () (not (tptp.member @t2 tptp.universal_class))) % 0.36/0.68 (define @t210 () (tptp.singleton @t1)) % 0.36/0.68 (define @t211 () (tptp.ordered_pair @t1 @t2)) % 0.36/0.68 (define @t212 () (tptp.singleton @t2)) % 0.36/0.68 (define @t213 () (tptp.cross_product @t1 @t2)) % 0.36/0.68 (define @t214 () (tptp.ordered_pair @t24 @t23)) % 0.36/0.68 (define @t215 () (tptp.member @t214 @t213)) % 0.36/0.68 (define @t216 () (not @t215)) % 0.36/0.68 (define @t217 () (@list @t24 @t23 @t1 @t2)) % 0.36/0.68 (define @t218 () (tptp.member @t23 @t2)) % 0.36/0.68 (define @t219 () (@list @t6 @t1 @t2)) % 0.36/0.68 (define @t220 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 0.36/0.68 (define @t221 () (tptp.member @t1 @t2)) % 0.36/0.68 (define @t222 () (tptp.member @t211 tptp.element_relation)) % 0.36/0.68 (define @t223 () (not (tptp.member @t211 @t220))) % 0.36/0.68 (define @t224 () (tptp.member @t6 @t1)) % 0.36/0.68 (define @t225 () (tptp.intersection @t1 @t2)) % 0.36/0.68 (define @t226 () (tptp.member @t6 @t225)) % 0.36/0.68 (define @t227 () (not @t226)) % 0.36/0.68 (define @t228 () (tptp.member @t6 @t2)) % 0.36/0.68 (define @t229 () (not @t224)) % 0.36/0.68 (define @t230 () (tptp.complement @t1)) % 0.36/0.68 (define @t231 () (tptp.member @t6 @t230)) % 0.36/0.68 (define @t232 () (@list @t6 @t1)) % 0.36/0.68 (define @t233 () (not (tptp.member @t6 tptp.universal_class))) % 0.36/0.68 (define @t234 () (tptp.complement (tptp.intersection @t230 (tptp.complement @t2)))) % 0.36/0.68 (define @t235 () (@var "Xr" $$unsorted)) % 0.36/0.68 (define @t236 () (tptp.restrict @t235 @t1 @t2)) % 0.36/0.68 (define @t237 () (tptp.domain_of @t1)) % 0.36/0.68 (define @t238 () (tptp.member @t6 @t237)) % 0.36/0.68 (define @t239 () (tptp.equalish (tptp.restrict @t1 (tptp.singleton @t6) tptp.universal_class) tptp.null_class)) % 0.36/0.68 (define @t240 () (tptp.cross_product @t220 tptp.universal_class)) % 0.36/0.68 (define @t241 () (tptp.rotate @t1)) % 0.36/0.68 (define @t242 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t26) @t24) @t1)) % 0.36/0.68 (define @t243 () (tptp.ordered_pair @t214 @t26)) % 0.36/0.68 (define @t244 () (tptp.member @t243 @t241)) % 0.36/0.68 (define @t245 () (@list @t24 @t23 @t26 @t1)) % 0.36/0.68 (define @t246 () (not (tptp.member @t243 @t240))) % 0.36/0.68 (define @t247 () (tptp.flip @t1)) % 0.36/0.68 (define @t248 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t24) @t26) @t1)) % 0.36/0.68 (define @t249 () (tptp.member @t243 @t247)) % 0.36/0.68 (define @t250 () (@list @t2)) % 0.36/0.68 (define @t251 () (tptp.successor @t1)) % 0.36/0.68 (define @t252 () (tptp.equalish @t251 @t2)) % 0.36/0.68 (define @t253 () (tptp.member @t211 tptp.successor_relation)) % 0.36/0.68 (define @t254 () (tptp.member tptp.null_class @t1)) % 0.36/0.68 (define @t255 () (tptp.inductive @t1)) % 0.36/0.68 (define @t256 () (not @t255)) % 0.36/0.68 (define @t257 () (tptp.subclass (tptp.image tptp.successor_relation @t1) @t1)) % 0.36/0.68 (define @t258 () (tptp.sum_class @t1)) % 0.36/0.68 (define @t259 () (@var "Yr" $$unsorted)) % 0.36/0.68 (define @t260 () (tptp.compose @t259 @t235)) % 0.36/0.68 (define @t261 () (tptp.member @t6 (tptp.image @t259 (tptp.image @t235 @t212)))) % 0.36/0.68 (define @t262 () (tptp.ordered_pair @t2 @t6)) % 0.36/0.68 (define @t263 () (tptp.member @t262 @t260)) % 0.36/0.68 (define @t264 () (tptp.subclass (tptp.compose @t1 (tptp.inverse @t1)) tptp.identity_relation)) % 0.36/0.68 (define @t265 () (tptp.single_valued_class @t1)) % 0.36/0.68 (define @t266 () (@var "Xf" $$unsorted)) % 0.36/0.68 (define @t267 () (tptp.subclass @t266 @t220)) % 0.36/0.68 (define @t268 () (tptp.function @t266)) % 0.36/0.68 (define @t269 () (not @t268)) % 0.36/0.68 (define @t270 () (@list @t266)) % 0.36/0.68 (define @t271 () (tptp.inverse @t266)) % 0.36/0.68 (define @t272 () (tptp.subclass (tptp.compose @t266 @t271) tptp.identity_relation)) % 0.36/0.68 (define @t273 () (tptp.regular @t1)) % 0.36/0.68 (define @t274 () (tptp.equalish @t1 tptp.null_class)) % 0.36/0.68 (define @t275 () (tptp.one_to_one @t266)) % 0.36/0.68 (define @t276 () (not @t275)) % 0.36/0.68 (define @t277 () (tptp.function @t271)) % 0.36/0.68 (define @t278 () (tptp.inverse tptp.element_relation)) % 0.36/0.68 (define @t279 () (tptp.operation @t266)) % 0.36/0.68 (define @t280 () (not @t279)) % 0.36/0.68 (define @t281 () (tptp.domain_of @t266)) % 0.36/0.68 (define @t282 () (tptp.domain_of @t281)) % 0.36/0.68 (define @t283 () (tptp.equalish (tptp.cross_product @t282 @t282) @t281)) % 0.36/0.68 (define @t284 () (tptp.subclass (tptp.range_of @t266) @t282)) % 0.36/0.68 (define @t285 () (@var "Xh" $$unsorted)) % 0.36/0.68 (define @t286 () (tptp.function @t285)) % 0.36/0.68 (define @t287 () (@var "Xf2" $$unsorted)) % 0.36/0.68 (define @t288 () (@var "Xf1" $$unsorted)) % 0.36/0.68 (define @t289 () (tptp.compatible @t285 @t288 @t287)) % 0.36/0.68 (define @t290 () (not @t289)) % 0.36/0.68 (define @t291 () (@list @t285 @t288 @t287)) % 0.36/0.68 (define @t292 () (tptp.domain_of @t288)) % 0.36/0.68 (define @t293 () (tptp.equalish (tptp.domain_of @t292) (tptp.domain_of @t285))) % 0.36/0.68 (define @t294 () (tptp.subclass (tptp.range_of @t285) (tptp.domain_of (tptp.domain_of @t287)))) % 0.36/0.68 (define @t295 () (@var "Xh1" $$unsorted)) % 0.36/0.68 (define @t296 () (tptp.operation @t288)) % 0.36/0.68 (define @t297 () (tptp.homomorphism @t285 @t288 @t287)) % 0.36/0.68 (define @t298 () (not @t297)) % 0.36/0.68 (define @t299 () (tptp.operation @t287)) % 0.36/0.68 (define @t300 () (tptp.not_homomorphism2 @t285 @t288 @t287)) % 0.36/0.68 (define @t301 () (tptp.not_homomorphism1 @t285 @t288 @t287)) % 0.36/0.68 (define @t302 () (tptp.ordered_pair @t301 @t300)) % 0.36/0.68 (define @t303 () (not @t299)) % 0.36/0.68 (define @t304 () (not @t296)) % 0.36/0.68 (define @t305 () (@list @t288 @t287 @t285)) % 0.36/0.68 (define @t306 () (tptp.equalish tptp.x tptp.x)) % 0.36/0.68 (define @t307 () (@list tptp.x tptp.x)) % 0.36/0.68 (define @t308 () (tptp.subclass tptp.x tptp.x)) % 0.36/0.68 (define @t309 () (not @t308)) % 0.36/0.68 (define @t310 () (or @t309 @t309 @t306)) % 0.36/0.68 (define @t311 () (@list true false)) % 0.36/0.68 (define @t312 () (tptp.member (tptp.not_subclass_element tptp.x tptp.x) tptp.x)) % 0.36/0.68 (define @t313 () (or @t312 @t308)) % 0.36/0.68 (define @t314 () (not @t312)) % 0.36/0.68 (define @t315 () (or @t314 @t308)) % 0.36/0.68 (assume @p1 (forall @t5 (or @t4 (tptp.equalish @t2 @t1)))) % 0.36/0.68 (assume @p2 (forall (@list @t1 @t2 @t6) (or @t4 (not (tptp.equalish @t2 @t6)) (tptp.equalish @t1 @t6)))) % 0.36/0.68 (assume @p3 (forall (@list @t9 @t8 @t7) (or (not (tptp.equalish @t9 @t8)) (tptp.equalish (tptp.apply @t9 @t7) (tptp.apply @t8 @t7))))) % 0.36/0.68 (assume @p4 (forall (@list @t12 @t10 @t11) (or (not (tptp.equalish @t12 @t10)) (tptp.equalish (tptp.apply @t11 @t12) (tptp.apply @t11 @t10))))) % 0.36/0.68 (assume @p5 (forall (@list @t14 @t13) (or (not (tptp.equalish @t14 @t13)) (tptp.equalish (tptp.cantor @t14) (tptp.cantor @t13))))) % 0.36/0.68 (assume @p6 (forall (@list @t16 @t15) (or (not (tptp.equalish @t16 @t15)) (tptp.equalish (tptp.complement @t16) (tptp.complement @t15))))) % 0.36/0.68 (assume @p7 (forall (@list @t19 @t18 @t17) (or (not (tptp.equalish @t19 @t18)) (tptp.equalish (tptp.compose @t19 @t17) (tptp.compose @t18 @t17))))) % 0.36/0.68 (assume @p8 (forall (@list @t22 @t20 @t21) (or (not (tptp.equalish @t22 @t20)) (tptp.equalish (tptp.compose @t21 @t22) (tptp.compose @t21 @t20))))) % 0.36/0.68 (assume @p9 (forall (@list @t25 @t24 @t23) (or (not (tptp.equalish @t25 @t24)) (tptp.equalish (tptp.cross_product @t25 @t23) (tptp.cross_product @t24 @t23))))) % 0.36/0.68 (assume @p10 (forall (@list @t26 @t1 @t2) (or (not (tptp.equalish @t26 @t1)) (tptp.equalish (tptp.cross_product @t2 @t26) (tptp.cross_product @t2 @t1))))) % 0.36/0.68 (assume @p11 (forall (@list @t6 @t27) (or (not (tptp.equalish @t6 @t27)) (tptp.equalish (tptp.diagonalise @t6) (tptp.diagonalise @t27))))) % 0.36/0.68 (assume @p12 (forall (@list @t30 @t29 @t28) (or (not (tptp.equalish @t30 @t29)) (tptp.equalish (tptp.symmetric_difference @t30 @t28) (tptp.symmetric_difference @t29 @t28))))) % 0.36/0.68 (assume @p13 (forall (@list @t33 @t31 @t32) (or (not (tptp.equalish @t33 @t31)) (tptp.equalish (tptp.symmetric_difference @t32 @t33) (tptp.symmetric_difference @t32 @t31))))) % 0.36/0.68 (assume @p14 (forall (@list @t37 @t36 @t35 @t34) (or (not (tptp.equalish @t37 @t36)) (tptp.equalish (tptp.domain @t37 @t35 @t34) (tptp.domain @t36 @t35 @t34))))) % 0.36/0.68 (assume @p15 (forall (@list @t41 @t39 @t40 @t38) (or (not (tptp.equalish @t41 @t39)) (tptp.equalish (tptp.domain @t40 @t41 @t38) (tptp.domain @t40 @t39 @t38))))) % 0.36/0.68 (assume @p16 (forall (@list @t45 @t42 @t44 @t43) (or (not (tptp.equalish @t45 @t42)) (tptp.equalish (tptp.domain @t44 @t43 @t45) (tptp.domain @t44 @t43 @t42))))) % 0.36/0.68 (assume @p17 (forall (@list @t47 @t46) (or (not (tptp.equalish @t47 @t46)) (tptp.equalish (tptp.domain_of @t47) (tptp.domain_of @t46))))) % 0.36/0.68 (assume @p18 (forall (@list @t49 @t48) (or (not (tptp.equalish @t49 @t48)) (tptp.equalish (tptp.first @t49) (tptp.first @t48))))) % 0.36/0.68 (assume @p19 (forall (@list @t51 @t50) (or (not (tptp.equalish @t51 @t50)) (tptp.equalish (tptp.flip @t51) (tptp.flip @t50))))) % 0.36/0.68 (assume @p20 (forall (@list @t54 @t53 @t52) (or (not (tptp.equalish @t54 @t53)) (tptp.equalish (tptp.image @t54 @t52) (tptp.image @t53 @t52))))) % 0.36/0.68 (assume @p21 (forall (@list @t57 @t55 @t56) (or (not (tptp.equalish @t57 @t55)) (tptp.equalish (tptp.image @t56 @t57) (tptp.image @t56 @t55))))) % 0.36/0.68 (assume @p22 (forall (@list @t60 @t59 @t58) (or (not (tptp.equalish @t60 @t59)) (tptp.equalish (tptp.intersection @t60 @t58) (tptp.intersection @t59 @t58))))) % 0.36/0.68 (assume @p23 (forall (@list @t63 @t61 @t62) (or (not (tptp.equalish @t63 @t61)) (tptp.equalish (tptp.intersection @t62 @t63) (tptp.intersection @t62 @t61))))) % 0.36/0.68 (assume @p24 (forall (@list @t65 @t64) (or (not (tptp.equalish @t65 @t64)) (tptp.equalish (tptp.inverse @t65) (tptp.inverse @t64))))) % 0.36/0.68 (assume @p25 (forall (@list @t69 @t68 @t67 @t66) (or (not (tptp.equalish @t69 @t68)) (tptp.equalish (tptp.not_homomorphism1 @t69 @t67 @t66) (tptp.not_homomorphism1 @t68 @t67 @t66))))) % 0.36/0.68 (assume @p26 (forall (@list @t73 @t71 @t72 @t70) (or (not (tptp.equalish @t73 @t71)) (tptp.equalish (tptp.not_homomorphism1 @t72 @t73 @t70) (tptp.not_homomorphism1 @t72 @t71 @t70))))) % 0.36/0.68 (assume @p27 (forall (@list @t77 @t74 @t76 @t75) (or (not (tptp.equalish @t77 @t74)) (tptp.equalish (tptp.not_homomorphism1 @t76 @t75 @t77) (tptp.not_homomorphism1 @t76 @t75 @t74))))) % 0.36/0.68 (assume @p28 (forall (@list @t81 @t80 @t79 @t78) (or (not (tptp.equalish @t81 @t80)) (tptp.equalish (tptp.not_homomorphism2 @t81 @t79 @t78) (tptp.not_homomorphism2 @t80 @t79 @t78))))) % 0.36/0.68 (assume @p29 (forall (@list @t85 @t83 @t84 @t82) (or (not (tptp.equalish @t85 @t83)) (tptp.equalish (tptp.not_homomorphism2 @t84 @t85 @t82) (tptp.not_homomorphism2 @t84 @t83 @t82))))) % 0.36/0.68 (assume @p30 (forall (@list @t89 @t86 @t88 @t87) (or (not (tptp.equalish @t89 @t86)) (tptp.equalish (tptp.not_homomorphism2 @t88 @t87 @t89) (tptp.not_homomorphism2 @t88 @t87 @t86))))) % 0.36/0.68 (assume @p31 (forall (@list @t92 @t91 @t90) (or (not (tptp.equalish @t92 @t91)) (tptp.equalish (tptp.not_subclass_element @t92 @t90) (tptp.not_subclass_element @t91 @t90))))) % 0.36/0.68 (assume @p32 (forall (@list @t95 @t93 @t94) (or (not (tptp.equalish @t95 @t93)) (tptp.equalish (tptp.not_subclass_element @t94 @t95) (tptp.not_subclass_element @t94 @t93))))) % 0.36/0.68 (assume @p33 (forall (@list @t98 @t97 @t96) (or (not (tptp.equalish @t98 @t97)) (tptp.equalish (tptp.ordered_pair @t98 @t96) (tptp.ordered_pair @t97 @t96))))) % 0.36/0.68 (assume @p34 (forall (@list @t101 @t99 @t100) (or (not (tptp.equalish @t101 @t99)) (tptp.equalish (tptp.ordered_pair @t100 @t101) (tptp.ordered_pair @t100 @t99))))) % 0.36/0.68 (assume @p35 (forall (@list @t103 @t102) (or (not (tptp.equalish @t103 @t102)) (tptp.equalish (tptp.power_class @t103) (tptp.power_class @t102))))) % 0.36/0.68 (assume @p36 (forall (@list @t107 @t106 @t105 @t104) (or (not (tptp.equalish @t107 @t106)) (tptp.equalish (tptp.range @t107 @t105 @t104) (tptp.range @t106 @t105 @t104))))) % 0.36/0.68 (assume @p37 (forall (@list @t111 @t109 @t110 @t108) (or (not (tptp.equalish @t111 @t109)) (tptp.equalish (tptp.range @t110 @t111 @t108) (tptp.range @t110 @t109 @t108))))) % 0.36/0.68 (assume @p38 (forall (@list @t115 @t112 @t114 @t113) (or (not (tptp.equalish @t115 @t112)) (tptp.equalish (tptp.range @t114 @t113 @t115) (tptp.range @t114 @t113 @t112))))) % 0.36/0.68 (assume @p39 (forall (@list @t117 @t116) (or (not (tptp.equalish @t117 @t116)) (tptp.equalish (tptp.range_of @t117) (tptp.range_of @t116))))) % 0.36/0.68 (assume @p40 (forall (@list @t119 @t118) (or (not (tptp.equalish @t119 @t118)) (tptp.equalish (tptp.regular @t119) (tptp.regular @t118))))) % 0.36/0.68 (assume @p41 (forall (@list @t123 @t122 @t121 @t120) (or (not (tptp.equalish @t123 @t122)) (tptp.equalish (tptp.restrict @t123 @t121 @t120) (tptp.restrict @t122 @t121 @t120))))) % 0.36/0.68 (assume @p42 (forall (@list @t127 @t125 @t126 @t124) (or (not (tptp.equalish @t127 @t125)) (tptp.equalish (tptp.restrict @t126 @t127 @t124) (tptp.restrict @t126 @t125 @t124))))) % 0.36/0.68 (assume @p43 (forall (@list @t131 @t128 @t130 @t129) (or (not (tptp.equalish @t131 @t128)) (tptp.equalish (tptp.restrict @t130 @t129 @t131) (tptp.restrict @t130 @t129 @t128))))) % 0.36/0.68 (assume @p44 (forall (@list @t133 @t132) (or (not (tptp.equalish @t133 @t132)) (tptp.equalish (tptp.rotate @t133) (tptp.rotate @t132))))) % 0.36/0.68 (assume @p45 (forall (@list @t135 @t134) (or (not (tptp.equalish @t135 @t134)) (tptp.equalish (tptp.second @t135) (tptp.second @t134))))) % 0.36/0.68 (assume @p46 (forall (@list @t137 @t136) (or (not (tptp.equalish @t137 @t136)) (tptp.equalish (tptp.singleton @t137) (tptp.singleton @t136))))) % 0.36/0.68 (assume @p47 (forall (@list @t139 @t138) (or (not (tptp.equalish @t139 @t138)) (tptp.equalish (tptp.successor @t139) (tptp.successor @t138))))) % 0.36/0.68 (assume @p48 (forall (@list @t141 @t140) (or (not (tptp.equalish @t141 @t140)) (tptp.equalish (tptp.sum_class @t141) (tptp.sum_class @t140))))) % 0.36/0.68 (assume @p49 (forall (@list @t144 @t143 @t142) (or (not (tptp.equalish @t144 @t143)) (tptp.equalish (tptp.union @t144 @t142) (tptp.union @t143 @t142))))) % 0.36/0.68 (assume @p50 (forall (@list @t147 @t145 @t146) (or (not (tptp.equalish @t147 @t145)) (tptp.equalish (tptp.union @t146 @t147) (tptp.union @t146 @t145))))) % 0.36/0.68 (assume @p51 (forall (@list @t150 @t149 @t148) (or (not (tptp.equalish @t150 @t149)) (tptp.equalish (tptp.unordered_pair @t150 @t148) (tptp.unordered_pair @t149 @t148))))) % 0.36/0.68 (assume @p52 (forall (@list @t153 @t151 @t152) (or (not (tptp.equalish @t153 @t151)) (tptp.equalish (tptp.unordered_pair @t152 @t153) (tptp.unordered_pair @t152 @t151))))) % 0.36/0.68 (assume @p53 (forall (@list @t157 @t156 @t155 @t154) (or (not (tptp.equalish @t157 @t156)) (not (tptp.compatible @t157 @t155 @t154)) (tptp.compatible @t156 @t155 @t154)))) % 0.36/0.68 (assume @p54 (forall (@list @t161 @t159 @t160 @t158) (or (not (tptp.equalish @t161 @t159)) (not (tptp.compatible @t160 @t161 @t158)) (tptp.compatible @t160 @t159 @t158)))) % 0.36/0.68 (assume @p55 (forall (@list @t165 @t162 @t164 @t163) (or (not (tptp.equalish @t165 @t162)) (not (tptp.compatible @t164 @t163 @t165)) (tptp.compatible @t164 @t163 @t162)))) % 0.36/0.68 (assume @p56 (forall (@list @t167 @t166) (or (not (tptp.equalish @t167 @t166)) (not (tptp.function @t167)) (tptp.function @t166)))) % 0.36/0.68 (assume @p57 (forall (@list @t171 @t170 @t169 @t168) (or (not (tptp.equalish @t171 @t170)) (not (tptp.homomorphism @t171 @t169 @t168)) (tptp.homomorphism @t170 @t169 @t168)))) % 0.36/0.68 (assume @p58 (forall (@list @t175 @t173 @t174 @t172) (or (not (tptp.equalish @t175 @t173)) (not (tptp.homomorphism @t174 @t175 @t172)) (tptp.homomorphism @t174 @t173 @t172)))) % 0.36/0.68 (assume @p59 (forall (@list @t179 @t176 @t178 @t177) (or (not (tptp.equalish @t179 @t176)) (not (tptp.homomorphism @t178 @t177 @t179)) (tptp.homomorphism @t178 @t177 @t176)))) % 0.36/0.68 (assume @p60 (forall (@list @t181 @t180) (or (not (tptp.equalish @t181 @t180)) (not (tptp.inductive @t181)) (tptp.inductive @t180)))) % 0.36/0.68 (assume @p61 (forall (@list @t184 @t183 @t182) (or (not (tptp.equalish @t184 @t183)) (not (tptp.member @t184 @t182)) (tptp.member @t183 @t182)))) % 0.36/0.68 (assume @p62 (forall (@list @t187 @t185 @t186) (or (not (tptp.equalish @t187 @t185)) (not (tptp.member @t186 @t187)) (tptp.member @t186 @t185)))) % 0.36/0.68 (assume @p63 (forall (@list @t189 @t188) (or (not (tptp.equalish @t189 @t188)) (not (tptp.one_to_one @t189)) (tptp.one_to_one @t188)))) % 0.36/0.68 (assume @p64 (forall (@list @t191 @t190) (or (not (tptp.equalish @t191 @t190)) (not (tptp.operation @t191)) (tptp.operation @t190)))) % 0.36/0.68 (assume @p65 (forall (@list @t193 @t192) (or (not (tptp.equalish @t193 @t192)) (not (tptp.single_valued_class @t193)) (tptp.single_valued_class @t192)))) % 0.36/0.68 (assume @p66 (forall (@list @t196 @t195 @t194) (or (not (tptp.equalish @t196 @t195)) (not (tptp.subclass @t196 @t194)) (tptp.subclass @t195 @t194)))) % 0.36/0.68 (assume @p67 (forall (@list @t199 @t197 @t198) (or (not (tptp.equalish @t199 @t197)) (not (tptp.subclass @t198 @t199)) (tptp.subclass @t198 @t197)))) % 0.36/0.68 (assume @p68 (forall (@list @t1 @t2 @t24) (or @t203 @t201 (tptp.member @t24 @t2)))) % 0.36/0.68 (assume @p69 (forall @t5 (or (tptp.member @t204 @t1) @t202))) % 0.36/0.68 (assume @p70 (forall @t5 (or (not (tptp.member @t204 @t2)) @t202))) % 0.36/0.68 (assume @p71 (forall @t205 (tptp.subclass @t1 tptp.universal_class))) % 0.36/0.68 (assume @p72 (forall @t5 (or @t4 @t202))) % 0.36/0.68 (assume @p73 (forall @t5 (or @t4 @t206))) % 0.36/0.68 (assume @p74 (forall @t5 (or @t203 (not @t206) @t3))) % 0.36/0.68 (assume @p75 (forall (@list @t24 @t1 @t2) (or (not (tptp.member @t24 @t207)) (tptp.equalish @t24 @t1) (tptp.equalish @t24 @t2)))) % 0.36/0.68 (assume @p76 (forall @t5 (or @t208 (tptp.member @t1 @t207)))) % 0.36/0.68 (assume @p77 (forall (@list @t2 @t1) (or @t209 (tptp.member @t2 @t207)))) % 0.36/0.68 (assume @p78 (forall @t5 (tptp.member @t207 tptp.universal_class))) % 0.36/0.68 (assume @p79 (forall @t205 (tptp.equalish (tptp.unordered_pair @t1 @t1) @t210))) % 0.36/0.68 (assume @p80 (forall @t5 (tptp.equalish (tptp.unordered_pair @t210 (tptp.unordered_pair @t1 @t212)) @t211))) % 0.36/0.68 (assume @p81 (forall @t217 (or @t216 @t200))) % 0.36/0.68 (assume @p82 (forall @t217 (or @t216 @t218))) % 0.36/0.68 (assume @p83 (forall (@list @t24 @t1 @t23 @t2) (or @t201 (not @t218) @t215))) % 0.36/0.68 (assume @p84 (forall @t219 (or (not (tptp.member @t6 @t213)) (tptp.equalish (tptp.ordered_pair (tptp.first @t6) (tptp.second @t6)) @t6)))) % 0.36/0.68 (assume @p85 (tptp.subclass tptp.element_relation @t220)) % 0.36/0.68 (assume @p86 (forall @t5 (or (not @t222) @t221))) % 0.36/0.68 (assume @p87 (forall @t5 (or @t223 (not @t221) @t222))) % 0.36/0.68 (assume @p88 (forall @t219 (or @t227 @t224))) % 0.36/0.68 (assume @p89 (forall @t219 (or @t227 @t228))) % 0.36/0.68 (assume @p90 (forall @t219 (or @t229 (not @t228) @t226))) % 0.36/0.68 (assume @p91 (forall @t232 (or (not @t231) @t229))) % 0.36/0.68 (assume @p92 (forall @t232 (or @t233 @t231 @t224))) % 0.36/0.68 (assume @p93 (forall @t5 (tptp.equalish @t234 (tptp.union @t1 @t2)))) % 0.36/0.68 (assume @p94 (forall @t5 (tptp.equalish (tptp.intersection (tptp.complement @t225) @t234) (tptp.symmetric_difference @t1 @t2)))) % 0.36/0.68 (assume @p95 (forall (@list @t235 @t1 @t2) (tptp.equalish (tptp.intersection @t235 @t213) @t236))) % 0.36/0.68 (assume @p96 (forall (@list @t1 @t2 @t235) (tptp.equalish (tptp.intersection @t213 @t235) @t236))) % 0.36/0.68 (assume @p97 (forall (@list @t1 @t6) (or (not @t239) (not @t238)))) % 0.36/0.68 (assume @p98 (forall @t232 (or @t233 @t239 @t238))) % 0.36/0.68 (assume @p99 (forall @t205 (tptp.subclass @t241 @t240))) % 0.36/0.68 (assume @p100 (forall @t245 (or (not @t244) @t242))) % 0.36/0.68 (assume @p101 (forall (@list @t23 @t26 @t24 @t1) (or (not @t242) @t246 @t244))) % 0.36/0.68 (assume @p102 (forall @t205 (tptp.subclass @t247 @t240))) % 0.36/0.68 (assume @p103 (forall @t245 (or (not @t249) @t248))) % 0.36/0.68 (assume @p104 (forall (@list @t23 @t24 @t26 @t1) (or (not @t248) @t246 @t249))) % 0.36/0.68 (assume @p105 (forall @t250 (tptp.equalish (tptp.domain_of (tptp.flip (tptp.cross_product @t2 tptp.universal_class))) (tptp.inverse @t2)))) % 0.36/0.68 (assume @p106 (forall (@list @t6) (tptp.equalish (tptp.domain_of (tptp.inverse @t6)) (tptp.range_of @t6)))) % 0.36/0.68 (assume @p107 (forall @t219 (tptp.equalish (tptp.first (tptp.not_subclass_element (tptp.restrict @t6 @t1 @t212) tptp.null_class)) (tptp.domain @t6 @t1 @t2)))) % 0.36/0.68 (assume @p108 (forall @t219 (tptp.equalish (tptp.second (tptp.not_subclass_element (tptp.restrict @t6 @t210 @t2) tptp.null_class)) (tptp.range @t6 @t1 @t2)))) % 0.36/0.68 (assume @p109 (forall (@list @t235 @t1) (tptp.equalish (tptp.range_of (tptp.restrict @t235 @t1 tptp.universal_class)) (tptp.image @t235 @t1)))) % 0.36/0.68 (assume @p110 (forall @t205 (tptp.equalish (tptp.union @t1 @t210) @t251))) % 0.36/0.68 (assume @p111 (tptp.subclass tptp.successor_relation @t220)) % 0.36/0.68 (assume @p112 (forall @t5 (or (not @t253) @t252))) % 0.36/0.68 (assume @p113 (forall @t5 (or (not @t252) @t223 @t253))) % 0.36/0.68 (assume @p114 (forall @t205 (or @t256 @t254))) % 0.36/0.68 (assume @p115 (forall @t205 (or @t256 @t257))) % 0.36/0.68 (assume @p116 (forall @t205 (or (not @t254) (not @t257) @t255))) % 0.36/0.68 (assume @p117 (tptp.inductive tptp.omega)) % 0.36/0.68 (assume @p118 (forall @t250 (or (not (tptp.inductive @t2)) (tptp.subclass tptp.omega @t2)))) % 0.36/0.68 (assume @p119 (tptp.member tptp.omega tptp.universal_class)) % 0.36/0.68 (assume @p120 (forall @t205 (tptp.equalish (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t1)) @t258))) % 0.36/0.68 (assume @p121 (forall @t205 (or @t208 (tptp.member @t258 tptp.universal_class)))) % 0.36/0.68 (assume @p122 (forall @t205 (tptp.equalish (tptp.complement (tptp.image tptp.element_relation @t230)) (tptp.power_class @t1)))) % 0.36/0.68 (assume @p123 (forall (@list @t24) (or (not (tptp.member @t24 tptp.universal_class)) (tptp.member (tptp.power_class @t24) tptp.universal_class)))) % 0.36/0.68 (assume @p124 (forall (@list @t259 @t235) (tptp.subclass @t260 @t220))) % 0.36/0.68 (assume @p125 (forall (@list @t2 @t6 @t259 @t235) (or (not @t263) @t261))) % 0.36/0.68 (assume @p126 (forall (@list @t6 @t259 @t235 @t2) (or (not @t261) (not (tptp.member @t262 @t220)) @t263))) % 0.36/0.68 (assume @p127 (forall @t205 (or (not @t265) @t264))) % 0.36/0.68 (assume @p128 (forall @t205 (or (not @t264) @t265))) % 0.36/0.68 (assume @p129 (forall @t270 (or @t269 @t267))) % 0.36/0.68 (assume @p130 (forall @t270 (or @t269 @t272))) % 0.36/0.68 (assume @p131 (forall @t270 (or (not @t267) (not @t272) @t268))) % 0.36/0.68 (assume @p132 (forall (@list @t266 @t1) (or @t269 @t208 (tptp.member (tptp.image @t266 @t1) tptp.universal_class)))) % 0.36/0.68 (assume @p133 (forall @t205 (or @t274 (tptp.member @t273 @t1)))) % 0.36/0.68 (assume @p134 (forall @t205 (or @t274 (tptp.equalish (tptp.intersection @t1 @t273) tptp.null_class)))) % 0.36/0.68 (assume @p135 (forall (@list @t266 @t2) (tptp.equalish (tptp.sum_class (tptp.image @t266 @t212)) (tptp.apply @t266 @t2)))) % 0.36/0.68 (assume @p136 (tptp.function tptp.choice)) % 0.36/0.68 (assume @p137 (forall @t250 (or @t209 (tptp.equalish @t2 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t2) @t2)))) % 0.36/0.68 (assume @p138 (forall @t270 (or @t276 @t268))) % 0.36/0.68 (assume @p139 (forall @t270 (or @t276 @t277))) % 0.36/0.68 (assume @p140 (forall @t270 (or (not @t277) @t269 @t275))) % 0.36/0.68 (assume @p141 (tptp.equalish (tptp.intersection @t220 (tptp.intersection @t220 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t278)))) tptp.subset_relation)) % 0.36/0.68 (assume @p142 (tptp.equalish (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 0.36/0.68 (assume @p143 (forall (@list @t235) (tptp.equalish (tptp.complement (tptp.domain_of (tptp.intersection @t235 tptp.identity_relation))) (tptp.diagonalise @t235)))) % 0.36/0.68 (assume @p144 (forall @t205 (tptp.equalish (tptp.intersection @t237 (tptp.diagonalise (tptp.compose @t278 @t1))) (tptp.cantor @t1)))) % 0.36/0.68 (assume @p145 (forall @t270 (or @t280 @t268))) % 0.36/0.68 (assume @p146 (forall @t270 (or @t280 @t283))) % 0.36/0.68 (assume @p147 (forall @t270 (or @t280 @t284))) % 0.36/0.68 (assume @p148 (forall @t270 (or @t269 (not @t283) (not @t284) @t279))) % 0.36/0.68 (assume @p149 (forall @t291 (or @t290 @t286))) % 0.36/0.68 (assume @p150 (forall @t291 (or @t290 @t293))) % 0.36/0.68 (assume @p151 (forall @t291 (or @t290 @t294))) % 0.36/0.68 (assume @p152 (forall (@list @t285 @t288 @t287 @t295) (or (not @t286) (not @t293) (not @t294) (tptp.compatible @t295 @t288 @t287)))) % 0.36/0.68 (assume @p153 (forall @t291 (or @t298 @t296))) % 0.36/0.68 (assume @p154 (forall @t291 (or @t298 @t299))) % 0.36/0.68 (assume @p155 (forall @t291 (or @t298 @t289))) % 0.36/0.68 (assume @p156 (forall (@list @t285 @t288 @t287 @t1 @t2) (or @t298 (not (tptp.member @t211 @t292)) (tptp.equalish (tptp.apply @t287 (tptp.ordered_pair (tptp.apply @t285 @t1) (tptp.apply @t285 @t2))) (tptp.apply @t285 (tptp.apply @t288 @t211)))))) % 0.36/0.68 (assume @p157 (forall @t305 (or @t304 @t303 @t290 (tptp.member @t302 @t292) @t297))) % 0.36/0.68 (assume @p158 (forall @t305 (or @t304 @t303 @t290 (not (tptp.equalish (tptp.apply @t287 (tptp.ordered_pair (tptp.apply @t285 @t301) (tptp.apply @t285 @t300))) (tptp.apply @t285 (tptp.apply @t288 @t302)))) @t297))) % 0.36/0.68 (assume @p159 (not @t306)) % 0.36/0.68 (step @p160 :rule instantiate :premises (@p74) :args (@t307)) % 0.36/0.68 (step @p161 :rule cnf_or_pos :args (@t310)) % 0.36/0.68 (step @p162 :rule factoring :premises (@p161)) % 0.36/0.68 (step @p163 :rule reordering :premises (@p162) :args ((or @t306 @t309 (not @t310)))) % 0.36/0.68 (step @p164 :rule chain_m_resolution :premises (@p163 @p159 @p160) :args (@t309 @t311 (@list @t306 @t310))) % 0.36/0.68 (step @p165 :rule instantiate :premises (@p70) :args (@t307)) % 0.36/0.68 (step @p166 :rule instantiate :premises (@p69) :args (@t307)) % 0.36/0.68 (step @p167 :rule cnf_or_pos :args (@t313)) % 0.36/0.68 (step @p168 :rule reordering :premises (@p167) :args ((or @t308 @t312 (not @t313)))) % 0.36/0.68 (step @p169 :rule chain_m_resolution :premises (@p168 @p164 @p166) :args (@t312 @t311 (@list @t308 @t313))) % 0.36/0.68 (step @p170 :rule cnf_or_pos :args (@t315)) % 0.36/0.68 (step @p171 :rule reordering :premises (@p170) :args ((or @t308 @t314 (not @t315)))) % 0.36/0.68 (step @p172 false :rule chain_m_resolution :premises (@p171 @p169 @p165 @p164) :args (false (@list false false true) (@list @t312 @t315 @t308))) % 0.36/0.68 ) % 0.36/0.68 % SZS output end Proof % 0.36/0.69 % cvc5 exiting %------------------------------------------------------------------------------