%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET055-7 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 0.38s 0.69s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET055-7 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 14:49:04 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.69 % SZS status Unsatisfiable % 0.38/0.69 % SZS output start Proof % 0.38/0.70 ( % 0.38/0.70 (declare-sort $$unsorted 0) % 0.38/0.70 (declare-const tptp.identity_relation $$unsorted) % 0.38/0.70 (declare-const tptp.omega $$unsorted) % 0.38/0.70 (declare-const tptp.choice $$unsorted) % 0.38/0.70 (declare-const tptp.successor_relation $$unsorted) % 0.38/0.70 (declare-const tptp.element_relation $$unsorted) % 0.38/0.70 (declare-const tptp.universal_class $$unsorted) % 0.38/0.70 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.x $$unsorted) % 0.38/0.70 (declare-const tptp.operation (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.subset_relation $$unsorted) % 0.38/0.70 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.null_class $$unsorted) % 0.38/0.70 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.inductive (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.70 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.70 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.70 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.70 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.70 (define @t3 () (tptp.equalish @t1 @t2)) % 0.38/0.70 (define @t4 () (not @t3)) % 0.38/0.70 (define @t5 () (@list @t1 @t2)) % 0.38/0.70 (define @t6 () (@var "Z" $$unsorted)) % 0.38/0.70 (define @t7 () (@list @t1 @t2 @t6)) % 0.38/0.70 (define @t8 () (@var "F" $$unsorted)) % 0.38/0.70 (define @t9 () (@var "E" $$unsorted)) % 0.38/0.70 (define @t10 () (@var "D" $$unsorted)) % 0.38/0.70 (define @t11 () (@var "H" $$unsorted)) % 0.38/0.70 (define @t12 () (@var "I" $$unsorted)) % 0.38/0.70 (define @t13 () (@var "G" $$unsorted)) % 0.38/0.70 (define @t14 () (@var "K" $$unsorted)) % 0.38/0.70 (define @t15 () (@var "J" $$unsorted)) % 0.38/0.70 (define @t16 () (@var "M" $$unsorted)) % 0.38/0.70 (define @t17 () (@var "L" $$unsorted)) % 0.38/0.70 (define @t18 () (@var "P" $$unsorted)) % 0.38/0.70 (define @t19 () (@var "O" $$unsorted)) % 0.38/0.70 (define @t20 () (@var "N" $$unsorted)) % 0.38/0.70 (define @t21 () (@var "R" $$unsorted)) % 0.38/0.70 (define @t22 () (@var "S" $$unsorted)) % 0.38/0.70 (define @t23 () (@var "Q" $$unsorted)) % 0.38/0.70 (define @t24 () (@var "V" $$unsorted)) % 0.38/0.70 (define @t25 () (@var "U" $$unsorted)) % 0.38/0.70 (define @t26 () (tptp.cross_product @t25 @t24)) % 0.38/0.70 (define @t27 () (@var "T" $$unsorted)) % 0.38/0.70 (define @t28 () (@var "W" $$unsorted)) % 0.38/0.70 (define @t29 () (@var "A1" $$unsorted)) % 0.38/0.70 (define @t30 () (@var "D1" $$unsorted)) % 0.38/0.70 (define @t31 () (@var "C1" $$unsorted)) % 0.38/0.70 (define @t32 () (@var "B1" $$unsorted)) % 0.38/0.70 (define @t33 () (@var "F1" $$unsorted)) % 0.38/0.70 (define @t34 () (@var "G1" $$unsorted)) % 0.38/0.70 (define @t35 () (@var "E1" $$unsorted)) % 0.38/0.70 (define @t36 () (@var "K1" $$unsorted)) % 0.38/0.70 (define @t37 () (@var "J1" $$unsorted)) % 0.38/0.70 (define @t38 () (@var "I1" $$unsorted)) % 0.38/0.70 (define @t39 () (@var "H1" $$unsorted)) % 0.38/0.70 (define @t40 () (@var "O1" $$unsorted)) % 0.38/0.70 (define @t41 () (@var "M1" $$unsorted)) % 0.38/0.70 (define @t42 () (@var "N1" $$unsorted)) % 0.38/0.70 (define @t43 () (@var "L1" $$unsorted)) % 0.38/0.70 (define @t44 () (@var "Q1" $$unsorted)) % 0.38/0.70 (define @t45 () (@var "S1" $$unsorted)) % 0.38/0.70 (define @t46 () (@var "R1" $$unsorted)) % 0.38/0.70 (define @t47 () (@var "P1" $$unsorted)) % 0.38/0.70 (define @t48 () (@var "U1" $$unsorted)) % 0.38/0.70 (define @t49 () (@var "T1" $$unsorted)) % 0.38/0.70 (define @t50 () (@var "W1" $$unsorted)) % 0.38/0.70 (define @t51 () (@var "V1" $$unsorted)) % 0.38/0.70 (define @t52 () (@var "Y1" $$unsorted)) % 0.38/0.70 (define @t53 () (@var "X1" $$unsorted)) % 0.38/0.70 (define @t54 () (@var "B2" $$unsorted)) % 0.38/0.70 (define @t55 () (@var "A2" $$unsorted)) % 0.38/0.70 (define @t56 () (@var "Z1" $$unsorted)) % 0.38/0.70 (define @t57 () (@var "D2" $$unsorted)) % 0.38/0.70 (define @t58 () (@var "E2" $$unsorted)) % 0.38/0.70 (define @t59 () (@var "C2" $$unsorted)) % 0.38/0.70 (define @t60 () (@var "H2" $$unsorted)) % 0.38/0.70 (define @t61 () (@var "G2" $$unsorted)) % 0.38/0.70 (define @t62 () (@var "F2" $$unsorted)) % 0.38/0.70 (define @t63 () (@var "J2" $$unsorted)) % 0.38/0.70 (define @t64 () (@var "K2" $$unsorted)) % 0.38/0.70 (define @t65 () (@var "I2" $$unsorted)) % 0.38/0.70 (define @t66 () (@var "M2" $$unsorted)) % 0.38/0.70 (define @t67 () (@var "L2" $$unsorted)) % 0.38/0.70 (define @t68 () (@var "Q2" $$unsorted)) % 0.38/0.70 (define @t69 () (@var "P2" $$unsorted)) % 0.38/0.70 (define @t70 () (@var "O2" $$unsorted)) % 0.38/0.70 (define @t71 () (@var "N2" $$unsorted)) % 0.38/0.70 (define @t72 () (@var "U2" $$unsorted)) % 0.38/0.70 (define @t73 () (@var "S2" $$unsorted)) % 0.38/0.70 (define @t74 () (@var "T2" $$unsorted)) % 0.38/0.70 (define @t75 () (@var "R2" $$unsorted)) % 0.38/0.70 (define @t76 () (@var "W2" $$unsorted)) % 0.38/0.70 (define @t77 () (@var "Y2" $$unsorted)) % 0.38/0.70 (define @t78 () (@var "X2" $$unsorted)) % 0.38/0.70 (define @t79 () (@var "V2" $$unsorted)) % 0.38/0.70 (define @t80 () (@var "C3" $$unsorted)) % 0.38/0.70 (define @t81 () (@var "B3" $$unsorted)) % 0.38/0.70 (define @t82 () (@var "A3" $$unsorted)) % 0.38/0.70 (define @t83 () (@var "Z2" $$unsorted)) % 0.38/0.70 (define @t84 () (@var "G3" $$unsorted)) % 0.38/0.70 (define @t85 () (@var "E3" $$unsorted)) % 0.38/0.70 (define @t86 () (@var "F3" $$unsorted)) % 0.38/0.70 (define @t87 () (@var "D3" $$unsorted)) % 0.38/0.70 (define @t88 () (@var "I3" $$unsorted)) % 0.38/0.70 (define @t89 () (@var "K3" $$unsorted)) % 0.38/0.70 (define @t90 () (@var "J3" $$unsorted)) % 0.38/0.70 (define @t91 () (@var "H3" $$unsorted)) % 0.38/0.70 (define @t92 () (@var "N3" $$unsorted)) % 0.38/0.70 (define @t93 () (@var "M3" $$unsorted)) % 0.38/0.70 (define @t94 () (@var "L3" $$unsorted)) % 0.38/0.70 (define @t95 () (@var "P3" $$unsorted)) % 0.38/0.70 (define @t96 () (@var "Q3" $$unsorted)) % 0.38/0.70 (define @t97 () (@var "O3" $$unsorted)) % 0.38/0.70 (define @t98 () (@var "T3" $$unsorted)) % 0.38/0.70 (define @t99 () (@var "S3" $$unsorted)) % 0.38/0.70 (define @t100 () (@var "R3" $$unsorted)) % 0.38/0.70 (define @t101 () (@var "V3" $$unsorted)) % 0.38/0.70 (define @t102 () (@var "W3" $$unsorted)) % 0.38/0.70 (define @t103 () (@var "U3" $$unsorted)) % 0.38/0.70 (define @t104 () (@var "Y3" $$unsorted)) % 0.38/0.70 (define @t105 () (@var "X3" $$unsorted)) % 0.38/0.70 (define @t106 () (@var "C4" $$unsorted)) % 0.38/0.70 (define @t107 () (@var "B4" $$unsorted)) % 0.38/0.70 (define @t108 () (@var "A4" $$unsorted)) % 0.38/0.70 (define @t109 () (@var "Z3" $$unsorted)) % 0.38/0.70 (define @t110 () (@var "G4" $$unsorted)) % 0.38/0.70 (define @t111 () (@var "E4" $$unsorted)) % 0.38/0.70 (define @t112 () (@var "F4" $$unsorted)) % 0.38/0.70 (define @t113 () (@var "D4" $$unsorted)) % 0.38/0.70 (define @t114 () (@var "I4" $$unsorted)) % 0.38/0.70 (define @t115 () (@var "K4" $$unsorted)) % 0.38/0.70 (define @t116 () (@var "J4" $$unsorted)) % 0.38/0.70 (define @t117 () (@var "H4" $$unsorted)) % 0.38/0.70 (define @t118 () (@var "M4" $$unsorted)) % 0.38/0.70 (define @t119 () (@var "L4" $$unsorted)) % 0.38/0.70 (define @t120 () (@var "O4" $$unsorted)) % 0.38/0.70 (define @t121 () (@var "N4" $$unsorted)) % 0.38/0.70 (define @t122 () (@var "S4" $$unsorted)) % 0.38/0.70 (define @t123 () (@var "R4" $$unsorted)) % 0.38/0.70 (define @t124 () (@var "Q4" $$unsorted)) % 0.38/0.70 (define @t125 () (@var "P4" $$unsorted)) % 0.38/0.70 (define @t126 () (@var "W4" $$unsorted)) % 0.38/0.70 (define @t127 () (@var "U4" $$unsorted)) % 0.38/0.70 (define @t128 () (@var "V4" $$unsorted)) % 0.38/0.70 (define @t129 () (@var "T4" $$unsorted)) % 0.38/0.70 (define @t130 () (@var "Y4" $$unsorted)) % 0.38/0.70 (define @t131 () (@var "A5" $$unsorted)) % 0.38/0.70 (define @t132 () (@var "Z4" $$unsorted)) % 0.38/0.70 (define @t133 () (@var "X4" $$unsorted)) % 0.38/0.70 (define @t134 () (@var "C5" $$unsorted)) % 0.38/0.70 (define @t135 () (@var "B5" $$unsorted)) % 0.38/0.70 (define @t136 () (@var "E5" $$unsorted)) % 0.38/0.70 (define @t137 () (@var "D5" $$unsorted)) % 0.38/0.70 (define @t138 () (@var "G5" $$unsorted)) % 0.38/0.70 (define @t139 () (@var "F5" $$unsorted)) % 0.38/0.70 (define @t140 () (@var "I5" $$unsorted)) % 0.38/0.70 (define @t141 () (@var "H5" $$unsorted)) % 0.38/0.70 (define @t142 () (@var "K5" $$unsorted)) % 0.38/0.70 (define @t143 () (@var "J5" $$unsorted)) % 0.38/0.70 (define @t144 () (@var "N5" $$unsorted)) % 0.38/0.70 (define @t145 () (@var "M5" $$unsorted)) % 0.38/0.70 (define @t146 () (@var "L5" $$unsorted)) % 0.38/0.70 (define @t147 () (@var "P5" $$unsorted)) % 0.38/0.70 (define @t148 () (@var "Q5" $$unsorted)) % 0.38/0.70 (define @t149 () (@var "O5" $$unsorted)) % 0.38/0.70 (define @t150 () (@var "T5" $$unsorted)) % 0.38/0.70 (define @t151 () (@var "S5" $$unsorted)) % 0.38/0.70 (define @t152 () (@var "R5" $$unsorted)) % 0.38/0.70 (define @t153 () (@var "V5" $$unsorted)) % 0.38/0.70 (define @t154 () (@var "W5" $$unsorted)) % 0.38/0.70 (define @t155 () (@var "U5" $$unsorted)) % 0.38/0.70 (define @t156 () (@var "A6" $$unsorted)) % 0.38/0.70 (define @t157 () (@var "Z5" $$unsorted)) % 0.38/0.70 (define @t158 () (@var "Y5" $$unsorted)) % 0.38/0.70 (define @t159 () (@var "X5" $$unsorted)) % 0.38/0.70 (define @t160 () (@var "E6" $$unsorted)) % 0.38/0.70 (define @t161 () (@var "C6" $$unsorted)) % 0.38/0.70 (define @t162 () (@var "D6" $$unsorted)) % 0.38/0.70 (define @t163 () (@var "B6" $$unsorted)) % 0.38/0.70 (define @t164 () (@var "G6" $$unsorted)) % 0.38/0.70 (define @t165 () (@var "I6" $$unsorted)) % 0.38/0.70 (define @t166 () (@var "H6" $$unsorted)) % 0.38/0.70 (define @t167 () (@var "F6" $$unsorted)) % 0.38/0.70 (define @t168 () (@var "K6" $$unsorted)) % 0.38/0.70 (define @t169 () (@var "J6" $$unsorted)) % 0.38/0.70 (define @t170 () (@var "O6" $$unsorted)) % 0.38/0.70 (define @t171 () (@var "N6" $$unsorted)) % 0.38/0.70 (define @t172 () (@var "M6" $$unsorted)) % 0.38/0.70 (define @t173 () (@var "L6" $$unsorted)) % 0.38/0.70 (define @t174 () (@var "S6" $$unsorted)) % 0.38/0.70 (define @t175 () (@var "Q6" $$unsorted)) % 0.38/0.70 (define @t176 () (@var "R6" $$unsorted)) % 0.38/0.70 (define @t177 () (@var "P6" $$unsorted)) % 0.38/0.70 (define @t178 () (@var "U6" $$unsorted)) % 0.38/0.70 (define @t179 () (@var "W6" $$unsorted)) % 0.38/0.70 (define @t180 () (@var "V6" $$unsorted)) % 0.38/0.70 (define @t181 () (@var "T6" $$unsorted)) % 0.38/0.70 (define @t182 () (@var "Y6" $$unsorted)) % 0.38/0.70 (define @t183 () (@var "X6" $$unsorted)) % 0.38/0.70 (define @t184 () (@var "B7" $$unsorted)) % 0.38/0.70 (define @t185 () (@var "A7" $$unsorted)) % 0.38/0.70 (define @t186 () (@var "Z6" $$unsorted)) % 0.38/0.70 (define @t187 () (@var "D7" $$unsorted)) % 0.38/0.70 (define @t188 () (@var "E7" $$unsorted)) % 0.38/0.70 (define @t189 () (@var "C7" $$unsorted)) % 0.38/0.70 (define @t190 () (@var "G7" $$unsorted)) % 0.38/0.70 (define @t191 () (@var "F7" $$unsorted)) % 0.38/0.70 (define @t192 () (@var "I7" $$unsorted)) % 0.38/0.70 (define @t193 () (@var "H7" $$unsorted)) % 0.38/0.70 (define @t194 () (@var "K7" $$unsorted)) % 0.38/0.70 (define @t195 () (@var "J7" $$unsorted)) % 0.38/0.70 (define @t196 () (@var "N7" $$unsorted)) % 0.38/0.70 (define @t197 () (@var "M7" $$unsorted)) % 0.38/0.70 (define @t198 () (@var "L7" $$unsorted)) % 0.38/0.70 (define @t199 () (@var "P7" $$unsorted)) % 0.38/0.70 (define @t200 () (@var "Q7" $$unsorted)) % 0.38/0.70 (define @t201 () (@var "O7" $$unsorted)) % 0.38/0.70 (define @t202 () (tptp.member @t25 @t1)) % 0.38/0.70 (define @t203 () (not @t202)) % 0.38/0.70 (define @t204 () (tptp.subclass @t1 @t2)) % 0.38/0.70 (define @t205 () (not @t204)) % 0.38/0.70 (define @t206 () (tptp.not_subclass_element @t1 @t2)) % 0.38/0.70 (define @t207 () (@list @t1)) % 0.38/0.70 (define @t208 () (tptp.subclass @t2 @t1)) % 0.38/0.70 (define @t209 () (tptp.unordered_pair @t1 @t2)) % 0.38/0.70 (define @t210 () (tptp.member @t1 @t209)) % 0.38/0.70 (define @t211 () (not (tptp.member @t1 tptp.universal_class))) % 0.38/0.70 (define @t212 () (tptp.member @t2 @t209)) % 0.38/0.70 (define @t213 () (not (tptp.member @t2 tptp.universal_class))) % 0.38/0.70 (define @t214 () (tptp.singleton @t1)) % 0.38/0.70 (define @t215 () (tptp.ordered_pair @t1 @t2)) % 0.38/0.70 (define @t216 () (tptp.singleton @t2)) % 0.38/0.70 (define @t217 () (tptp.cross_product @t1 @t2)) % 0.38/0.70 (define @t218 () (tptp.ordered_pair @t25 @t24)) % 0.38/0.70 (define @t219 () (tptp.member @t218 @t217)) % 0.38/0.70 (define @t220 () (not @t219)) % 0.38/0.70 (define @t221 () (@list @t25 @t24 @t1 @t2)) % 0.38/0.70 (define @t222 () (tptp.member @t24 @t2)) % 0.38/0.70 (define @t223 () (@list @t6 @t1 @t2)) % 0.38/0.70 (define @t224 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 0.38/0.70 (define @t225 () (tptp.member @t1 @t2)) % 0.38/0.70 (define @t226 () (tptp.member @t215 tptp.element_relation)) % 0.38/0.70 (define @t227 () (not (tptp.member @t215 @t224))) % 0.38/0.70 (define @t228 () (tptp.member @t6 @t1)) % 0.38/0.70 (define @t229 () (tptp.intersection @t1 @t2)) % 0.38/0.70 (define @t230 () (tptp.member @t6 @t229)) % 0.38/0.70 (define @t231 () (not @t230)) % 0.38/0.70 (define @t232 () (tptp.member @t6 @t2)) % 0.38/0.70 (define @t233 () (not @t228)) % 0.38/0.70 (define @t234 () (tptp.complement @t1)) % 0.38/0.70 (define @t235 () (tptp.member @t6 @t234)) % 0.38/0.70 (define @t236 () (@list @t6 @t1)) % 0.38/0.70 (define @t237 () (not (tptp.member @t6 tptp.universal_class))) % 0.38/0.70 (define @t238 () (tptp.complement (tptp.intersection @t234 (tptp.complement @t2)))) % 0.38/0.70 (define @t239 () (@var "Xr" $$unsorted)) % 0.38/0.70 (define @t240 () (tptp.restrict @t239 @t1 @t2)) % 0.38/0.70 (define @t241 () (tptp.domain_of @t1)) % 0.38/0.70 (define @t242 () (tptp.member @t6 @t241)) % 0.38/0.70 (define @t243 () (tptp.equalish (tptp.restrict @t1 (tptp.singleton @t6) tptp.universal_class) tptp.null_class)) % 0.38/0.70 (define @t244 () (tptp.cross_product @t224 tptp.universal_class)) % 0.38/0.70 (define @t245 () (tptp.rotate @t1)) % 0.38/0.70 (define @t246 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t24 @t28) @t25) @t1)) % 0.38/0.70 (define @t247 () (tptp.ordered_pair @t218 @t28)) % 0.38/0.70 (define @t248 () (tptp.member @t247 @t245)) % 0.38/0.70 (define @t249 () (@list @t25 @t24 @t28 @t1)) % 0.38/0.70 (define @t250 () (not (tptp.member @t247 @t244))) % 0.38/0.70 (define @t251 () (tptp.flip @t1)) % 0.38/0.70 (define @t252 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t24 @t25) @t28) @t1)) % 0.38/0.70 (define @t253 () (tptp.member @t247 @t251)) % 0.38/0.70 (define @t254 () (@list @t2)) % 0.38/0.70 (define @t255 () (tptp.successor @t1)) % 0.38/0.70 (define @t256 () (tptp.equalish @t255 @t2)) % 0.38/0.70 (define @t257 () (tptp.member @t215 tptp.successor_relation)) % 0.38/0.70 (define @t258 () (tptp.member tptp.null_class @t1)) % 0.38/0.70 (define @t259 () (tptp.inductive @t1)) % 0.38/0.70 (define @t260 () (not @t259)) % 0.38/0.70 (define @t261 () (tptp.subclass (tptp.image tptp.successor_relation @t1) @t1)) % 0.38/0.70 (define @t262 () (tptp.sum_class @t1)) % 0.38/0.70 (define @t263 () (tptp.member @t25 tptp.universal_class)) % 0.38/0.70 (define @t264 () (@var "Yr" $$unsorted)) % 0.38/0.70 (define @t265 () (tptp.compose @t264 @t239)) % 0.38/0.70 (define @t266 () (tptp.member @t6 (tptp.image @t264 (tptp.image @t239 @t216)))) % 0.38/0.70 (define @t267 () (tptp.ordered_pair @t2 @t6)) % 0.38/0.70 (define @t268 () (tptp.member @t267 @t265)) % 0.38/0.70 (define @t269 () (tptp.subclass (tptp.compose @t1 (tptp.inverse @t1)) tptp.identity_relation)) % 0.38/0.70 (define @t270 () (tptp.single_valued_class @t1)) % 0.38/0.70 (define @t271 () (@var "Xf" $$unsorted)) % 0.38/0.70 (define @t272 () (tptp.subclass @t271 @t224)) % 0.38/0.70 (define @t273 () (tptp.function @t271)) % 0.38/0.70 (define @t274 () (not @t273)) % 0.38/0.70 (define @t275 () (@list @t271)) % 0.38/0.70 (define @t276 () (tptp.inverse @t271)) % 0.38/0.70 (define @t277 () (tptp.subclass (tptp.compose @t271 @t276) tptp.identity_relation)) % 0.38/0.70 (define @t278 () (tptp.regular @t1)) % 0.38/0.70 (define @t279 () (tptp.equalish @t1 tptp.null_class)) % 0.38/0.70 (define @t280 () (tptp.one_to_one @t271)) % 0.38/0.70 (define @t281 () (not @t280)) % 0.38/0.70 (define @t282 () (tptp.function @t276)) % 0.38/0.70 (define @t283 () (tptp.inverse tptp.element_relation)) % 0.38/0.70 (define @t284 () (tptp.operation @t271)) % 0.38/0.70 (define @t285 () (not @t284)) % 0.38/0.70 (define @t286 () (tptp.domain_of @t271)) % 0.38/0.70 (define @t287 () (tptp.domain_of @t286)) % 0.38/0.70 (define @t288 () (tptp.equalish (tptp.cross_product @t287 @t287) @t286)) % 0.38/0.70 (define @t289 () (tptp.subclass (tptp.range_of @t271) @t287)) % 0.38/0.70 (define @t290 () (@var "Xh" $$unsorted)) % 0.38/0.70 (define @t291 () (tptp.function @t290)) % 0.38/0.70 (define @t292 () (@var "Xf2" $$unsorted)) % 0.38/0.70 (define @t293 () (@var "Xf1" $$unsorted)) % 0.38/0.70 (define @t294 () (tptp.compatible @t290 @t293 @t292)) % 0.38/0.70 (define @t295 () (not @t294)) % 0.38/0.70 (define @t296 () (@list @t290 @t293 @t292)) % 0.38/0.70 (define @t297 () (tptp.domain_of @t293)) % 0.38/0.70 (define @t298 () (tptp.equalish (tptp.domain_of @t297) (tptp.domain_of @t290))) % 0.38/0.70 (define @t299 () (tptp.subclass (tptp.range_of @t290) (tptp.domain_of (tptp.domain_of @t292)))) % 0.38/0.70 (define @t300 () (@var "Xh1" $$unsorted)) % 0.38/0.70 (define @t301 () (tptp.operation @t293)) % 0.38/0.70 (define @t302 () (tptp.homomorphism @t290 @t293 @t292)) % 0.38/0.70 (define @t303 () (not @t302)) % 0.38/0.70 (define @t304 () (tptp.operation @t292)) % 0.38/0.70 (define @t305 () (tptp.not_homomorphism2 @t290 @t293 @t292)) % 0.38/0.70 (define @t306 () (tptp.not_homomorphism1 @t290 @t293 @t292)) % 0.38/0.70 (define @t307 () (tptp.ordered_pair @t306 @t305)) % 0.38/0.70 (define @t308 () (not @t304)) % 0.38/0.70 (define @t309 () (not @t301)) % 0.38/0.70 (define @t310 () (@list @t293 @t292 @t290)) % 0.38/0.70 (define @t311 () (not (tptp.member @t215 @t26))) % 0.38/0.70 (define @t312 () (@list @t1 @t2 @t25 @t24)) % 0.38/0.70 (define @t313 () (forall @t207 (tptp.subclass @t1 @t1))) % 0.38/0.70 (define @t314 () (tptp.equalish tptp.x tptp.x)) % 0.38/0.70 (define @t315 () (tptp.subclass tptp.x tptp.x)) % 0.38/0.70 (define @t316 () (not @t315)) % 0.38/0.70 (define @t317 () (or @t316 @t316 @t314)) % 0.38/0.70 (define @t318 () (@list true false)) % 0.38/0.70 (assume @p1 (forall @t5 (or @t4 (tptp.equalish @t2 @t1)))) % 0.38/0.70 (assume @p2 (forall @t7 (or @t4 (not (tptp.equalish @t2 @t6)) (tptp.equalish @t1 @t6)))) % 0.38/0.70 (assume @p3 (forall (@list @t10 @t9 @t8) (or (not (tptp.equalish @t10 @t9)) (tptp.equalish (tptp.apply @t10 @t8) (tptp.apply @t9 @t8))))) % 0.38/0.70 (assume @p4 (forall (@list @t13 @t11 @t12) (or (not (tptp.equalish @t13 @t11)) (tptp.equalish (tptp.apply @t12 @t13) (tptp.apply @t12 @t11))))) % 0.38/0.70 (assume @p5 (forall (@list @t15 @t14) (or (not (tptp.equalish @t15 @t14)) (tptp.equalish (tptp.cantor @t15) (tptp.cantor @t14))))) % 0.38/0.70 (assume @p6 (forall (@list @t17 @t16) (or (not (tptp.equalish @t17 @t16)) (tptp.equalish (tptp.complement @t17) (tptp.complement @t16))))) % 0.38/0.70 (assume @p7 (forall (@list @t20 @t19 @t18) (or (not (tptp.equalish @t20 @t19)) (tptp.equalish (tptp.compose @t20 @t18) (tptp.compose @t19 @t18))))) % 0.38/0.70 (assume @p8 (forall (@list @t23 @t21 @t22) (or (not (tptp.equalish @t23 @t21)) (tptp.equalish (tptp.compose @t22 @t23) (tptp.compose @t22 @t21))))) % 0.38/0.70 (assume @p9 (forall (@list @t27 @t25 @t24) (or (not (tptp.equalish @t27 @t25)) (tptp.equalish (tptp.cross_product @t27 @t24) @t26)))) % 0.38/0.70 (assume @p10 (forall (@list @t28 @t1 @t2) (or (not (tptp.equalish @t28 @t1)) (tptp.equalish (tptp.cross_product @t2 @t28) (tptp.cross_product @t2 @t1))))) % 0.38/0.70 (assume @p11 (forall (@list @t6 @t29) (or (not (tptp.equalish @t6 @t29)) (tptp.equalish (tptp.diagonalise @t6) (tptp.diagonalise @t29))))) % 0.38/0.70 (assume @p12 (forall (@list @t32 @t31 @t30) (or (not (tptp.equalish @t32 @t31)) (tptp.equalish (tptp.symmetric_difference @t32 @t30) (tptp.symmetric_difference @t31 @t30))))) % 0.38/0.70 (assume @p13 (forall (@list @t35 @t33 @t34) (or (not (tptp.equalish @t35 @t33)) (tptp.equalish (tptp.symmetric_difference @t34 @t35) (tptp.symmetric_difference @t34 @t33))))) % 0.38/0.70 (assume @p14 (forall (@list @t39 @t38 @t37 @t36) (or (not (tptp.equalish @t39 @t38)) (tptp.equalish (tptp.domain @t39 @t37 @t36) (tptp.domain @t38 @t37 @t36))))) % 0.38/0.70 (assume @p15 (forall (@list @t43 @t41 @t42 @t40) (or (not (tptp.equalish @t43 @t41)) (tptp.equalish (tptp.domain @t42 @t43 @t40) (tptp.domain @t42 @t41 @t40))))) % 0.38/0.70 (assume @p16 (forall (@list @t47 @t44 @t46 @t45) (or (not (tptp.equalish @t47 @t44)) (tptp.equalish (tptp.domain @t46 @t45 @t47) (tptp.domain @t46 @t45 @t44))))) % 0.38/0.70 (assume @p17 (forall (@list @t49 @t48) (or (not (tptp.equalish @t49 @t48)) (tptp.equalish (tptp.domain_of @t49) (tptp.domain_of @t48))))) % 0.38/0.70 (assume @p18 (forall (@list @t51 @t50) (or (not (tptp.equalish @t51 @t50)) (tptp.equalish (tptp.first @t51) (tptp.first @t50))))) % 0.38/0.70 (assume @p19 (forall (@list @t53 @t52) (or (not (tptp.equalish @t53 @t52)) (tptp.equalish (tptp.flip @t53) (tptp.flip @t52))))) % 0.38/0.70 (assume @p20 (forall (@list @t56 @t55 @t54) (or (not (tptp.equalish @t56 @t55)) (tptp.equalish (tptp.image @t56 @t54) (tptp.image @t55 @t54))))) % 0.38/0.70 (assume @p21 (forall (@list @t59 @t57 @t58) (or (not (tptp.equalish @t59 @t57)) (tptp.equalish (tptp.image @t58 @t59) (tptp.image @t58 @t57))))) % 0.38/0.70 (assume @p22 (forall (@list @t62 @t61 @t60) (or (not (tptp.equalish @t62 @t61)) (tptp.equalish (tptp.intersection @t62 @t60) (tptp.intersection @t61 @t60))))) % 0.38/0.70 (assume @p23 (forall (@list @t65 @t63 @t64) (or (not (tptp.equalish @t65 @t63)) (tptp.equalish (tptp.intersection @t64 @t65) (tptp.intersection @t64 @t63))))) % 0.38/0.70 (assume @p24 (forall (@list @t67 @t66) (or (not (tptp.equalish @t67 @t66)) (tptp.equalish (tptp.inverse @t67) (tptp.inverse @t66))))) % 0.38/0.70 (assume @p25 (forall (@list @t71 @t70 @t69 @t68) (or (not (tptp.equalish @t71 @t70)) (tptp.equalish (tptp.not_homomorphism1 @t71 @t69 @t68) (tptp.not_homomorphism1 @t70 @t69 @t68))))) % 0.38/0.70 (assume @p26 (forall (@list @t75 @t73 @t74 @t72) (or (not (tptp.equalish @t75 @t73)) (tptp.equalish (tptp.not_homomorphism1 @t74 @t75 @t72) (tptp.not_homomorphism1 @t74 @t73 @t72))))) % 0.38/0.70 (assume @p27 (forall (@list @t79 @t76 @t78 @t77) (or (not (tptp.equalish @t79 @t76)) (tptp.equalish (tptp.not_homomorphism1 @t78 @t77 @t79) (tptp.not_homomorphism1 @t78 @t77 @t76))))) % 0.38/0.70 (assume @p28 (forall (@list @t83 @t82 @t81 @t80) (or (not (tptp.equalish @t83 @t82)) (tptp.equalish (tptp.not_homomorphism2 @t83 @t81 @t80) (tptp.not_homomorphism2 @t82 @t81 @t80))))) % 0.38/0.70 (assume @p29 (forall (@list @t87 @t85 @t86 @t84) (or (not (tptp.equalish @t87 @t85)) (tptp.equalish (tptp.not_homomorphism2 @t86 @t87 @t84) (tptp.not_homomorphism2 @t86 @t85 @t84))))) % 0.38/0.70 (assume @p30 (forall (@list @t91 @t88 @t90 @t89) (or (not (tptp.equalish @t91 @t88)) (tptp.equalish (tptp.not_homomorphism2 @t90 @t89 @t91) (tptp.not_homomorphism2 @t90 @t89 @t88))))) % 0.38/0.70 (assume @p31 (forall (@list @t94 @t93 @t92) (or (not (tptp.equalish @t94 @t93)) (tptp.equalish (tptp.not_subclass_element @t94 @t92) (tptp.not_subclass_element @t93 @t92))))) % 0.38/0.70 (assume @p32 (forall (@list @t97 @t95 @t96) (or (not (tptp.equalish @t97 @t95)) (tptp.equalish (tptp.not_subclass_element @t96 @t97) (tptp.not_subclass_element @t96 @t95))))) % 0.38/0.70 (assume @p33 (forall (@list @t100 @t99 @t98) (or (not (tptp.equalish @t100 @t99)) (tptp.equalish (tptp.ordered_pair @t100 @t98) (tptp.ordered_pair @t99 @t98))))) % 0.38/0.70 (assume @p34 (forall (@list @t103 @t101 @t102) (or (not (tptp.equalish @t103 @t101)) (tptp.equalish (tptp.ordered_pair @t102 @t103) (tptp.ordered_pair @t102 @t101))))) % 0.38/0.70 (assume @p35 (forall (@list @t105 @t104) (or (not (tptp.equalish @t105 @t104)) (tptp.equalish (tptp.power_class @t105) (tptp.power_class @t104))))) % 0.38/0.70 (assume @p36 (forall (@list @t109 @t108 @t107 @t106) (or (not (tptp.equalish @t109 @t108)) (tptp.equalish (tptp.range @t109 @t107 @t106) (tptp.range @t108 @t107 @t106))))) % 0.38/0.70 (assume @p37 (forall (@list @t113 @t111 @t112 @t110) (or (not (tptp.equalish @t113 @t111)) (tptp.equalish (tptp.range @t112 @t113 @t110) (tptp.range @t112 @t111 @t110))))) % 0.38/0.70 (assume @p38 (forall (@list @t117 @t114 @t116 @t115) (or (not (tptp.equalish @t117 @t114)) (tptp.equalish (tptp.range @t116 @t115 @t117) (tptp.range @t116 @t115 @t114))))) % 0.38/0.70 (assume @p39 (forall (@list @t119 @t118) (or (not (tptp.equalish @t119 @t118)) (tptp.equalish (tptp.range_of @t119) (tptp.range_of @t118))))) % 0.38/0.70 (assume @p40 (forall (@list @t121 @t120) (or (not (tptp.equalish @t121 @t120)) (tptp.equalish (tptp.regular @t121) (tptp.regular @t120))))) % 0.38/0.70 (assume @p41 (forall (@list @t125 @t124 @t123 @t122) (or (not (tptp.equalish @t125 @t124)) (tptp.equalish (tptp.restrict @t125 @t123 @t122) (tptp.restrict @t124 @t123 @t122))))) % 0.38/0.70 (assume @p42 (forall (@list @t129 @t127 @t128 @t126) (or (not (tptp.equalish @t129 @t127)) (tptp.equalish (tptp.restrict @t128 @t129 @t126) (tptp.restrict @t128 @t127 @t126))))) % 0.38/0.70 (assume @p43 (forall (@list @t133 @t130 @t132 @t131) (or (not (tptp.equalish @t133 @t130)) (tptp.equalish (tptp.restrict @t132 @t131 @t133) (tptp.restrict @t132 @t131 @t130))))) % 0.38/0.70 (assume @p44 (forall (@list @t135 @t134) (or (not (tptp.equalish @t135 @t134)) (tptp.equalish (tptp.rotate @t135) (tptp.rotate @t134))))) % 0.38/0.70 (assume @p45 (forall (@list @t137 @t136) (or (not (tptp.equalish @t137 @t136)) (tptp.equalish (tptp.second @t137) (tptp.second @t136))))) % 0.38/0.70 (assume @p46 (forall (@list @t139 @t138) (or (not (tptp.equalish @t139 @t138)) (tptp.equalish (tptp.singleton @t139) (tptp.singleton @t138))))) % 0.38/0.70 (assume @p47 (forall (@list @t141 @t140) (or (not (tptp.equalish @t141 @t140)) (tptp.equalish (tptp.successor @t141) (tptp.successor @t140))))) % 0.38/0.70 (assume @p48 (forall (@list @t143 @t142) (or (not (tptp.equalish @t143 @t142)) (tptp.equalish (tptp.sum_class @t143) (tptp.sum_class @t142))))) % 0.38/0.70 (assume @p49 (forall (@list @t146 @t145 @t144) (or (not (tptp.equalish @t146 @t145)) (tptp.equalish (tptp.union @t146 @t144) (tptp.union @t145 @t144))))) % 0.38/0.70 (assume @p50 (forall (@list @t149 @t147 @t148) (or (not (tptp.equalish @t149 @t147)) (tptp.equalish (tptp.union @t148 @t149) (tptp.union @t148 @t147))))) % 0.38/0.70 (assume @p51 (forall (@list @t152 @t151 @t150) (or (not (tptp.equalish @t152 @t151)) (tptp.equalish (tptp.unordered_pair @t152 @t150) (tptp.unordered_pair @t151 @t150))))) % 0.38/0.70 (assume @p52 (forall (@list @t155 @t153 @t154) (or (not (tptp.equalish @t155 @t153)) (tptp.equalish (tptp.unordered_pair @t154 @t155) (tptp.unordered_pair @t154 @t153))))) % 0.38/0.70 (assume @p53 (forall (@list @t159 @t158 @t157 @t156) (or (not (tptp.equalish @t159 @t158)) (not (tptp.compatible @t159 @t157 @t156)) (tptp.compatible @t158 @t157 @t156)))) % 0.38/0.70 (assume @p54 (forall (@list @t163 @t161 @t162 @t160) (or (not (tptp.equalish @t163 @t161)) (not (tptp.compatible @t162 @t163 @t160)) (tptp.compatible @t162 @t161 @t160)))) % 0.38/0.70 (assume @p55 (forall (@list @t167 @t164 @t166 @t165) (or (not (tptp.equalish @t167 @t164)) (not (tptp.compatible @t166 @t165 @t167)) (tptp.compatible @t166 @t165 @t164)))) % 0.38/0.70 (assume @p56 (forall (@list @t169 @t168) (or (not (tptp.equalish @t169 @t168)) (not (tptp.function @t169)) (tptp.function @t168)))) % 0.38/0.70 (assume @p57 (forall (@list @t173 @t172 @t171 @t170) (or (not (tptp.equalish @t173 @t172)) (not (tptp.homomorphism @t173 @t171 @t170)) (tptp.homomorphism @t172 @t171 @t170)))) % 0.38/0.70 (assume @p58 (forall (@list @t177 @t175 @t176 @t174) (or (not (tptp.equalish @t177 @t175)) (not (tptp.homomorphism @t176 @t177 @t174)) (tptp.homomorphism @t176 @t175 @t174)))) % 0.38/0.70 (assume @p59 (forall (@list @t181 @t178 @t180 @t179) (or (not (tptp.equalish @t181 @t178)) (not (tptp.homomorphism @t180 @t179 @t181)) (tptp.homomorphism @t180 @t179 @t178)))) % 0.38/0.70 (assume @p60 (forall (@list @t183 @t182) (or (not (tptp.equalish @t183 @t182)) (not (tptp.inductive @t183)) (tptp.inductive @t182)))) % 0.38/0.70 (assume @p61 (forall (@list @t186 @t185 @t184) (or (not (tptp.equalish @t186 @t185)) (not (tptp.member @t186 @t184)) (tptp.member @t185 @t184)))) % 0.38/0.70 (assume @p62 (forall (@list @t189 @t187 @t188) (or (not (tptp.equalish @t189 @t187)) (not (tptp.member @t188 @t189)) (tptp.member @t188 @t187)))) % 0.38/0.70 (assume @p63 (forall (@list @t191 @t190) (or (not (tptp.equalish @t191 @t190)) (not (tptp.one_to_one @t191)) (tptp.one_to_one @t190)))) % 0.38/0.70 (assume @p64 (forall (@list @t193 @t192) (or (not (tptp.equalish @t193 @t192)) (not (tptp.operation @t193)) (tptp.operation @t192)))) % 0.38/0.70 (assume @p65 (forall (@list @t195 @t194) (or (not (tptp.equalish @t195 @t194)) (not (tptp.single_valued_class @t195)) (tptp.single_valued_class @t194)))) % 0.38/0.70 (assume @p66 (forall (@list @t198 @t197 @t196) (or (not (tptp.equalish @t198 @t197)) (not (tptp.subclass @t198 @t196)) (tptp.subclass @t197 @t196)))) % 0.38/0.70 (assume @p67 (forall (@list @t201 @t199 @t200) (or (not (tptp.equalish @t201 @t199)) (not (tptp.subclass @t200 @t201)) (tptp.subclass @t200 @t199)))) % 0.38/0.70 (assume @p68 (forall (@list @t1 @t2 @t25) (or @t205 @t203 (tptp.member @t25 @t2)))) % 0.38/0.70 (assume @p69 (forall @t5 (or (tptp.member @t206 @t1) @t204))) % 0.38/0.70 (assume @p70 (forall @t5 (or (not (tptp.member @t206 @t2)) @t204))) % 0.38/0.70 (assume @p71 (forall @t207 (tptp.subclass @t1 tptp.universal_class))) % 0.38/0.70 (assume @p72 (forall @t5 (or @t4 @t204))) % 0.38/0.70 (assume @p73 (forall @t5 (or @t4 @t208))) % 0.38/0.70 (assume @p74 (forall @t5 (or @t205 (not @t208) @t3))) % 0.38/0.70 (assume @p75 (forall (@list @t25 @t1 @t2) (or (not (tptp.member @t25 @t209)) (tptp.equalish @t25 @t1) (tptp.equalish @t25 @t2)))) % 0.38/0.70 (assume @p76 (forall @t5 (or @t211 @t210))) % 0.38/0.70 (assume @p77 (forall (@list @t2 @t1) (or @t213 @t212))) % 0.38/0.70 (assume @p78 (forall @t5 (tptp.member @t209 tptp.universal_class))) % 0.38/0.70 (assume @p79 (forall @t207 (tptp.equalish (tptp.unordered_pair @t1 @t1) @t214))) % 0.38/0.70 (assume @p80 (forall @t5 (tptp.equalish (tptp.unordered_pair @t214 (tptp.unordered_pair @t1 @t216)) @t215))) % 0.38/0.70 (assume @p81 (forall @t221 (or @t220 @t202))) % 0.38/0.70 (assume @p82 (forall @t221 (or @t220 @t222))) % 0.38/0.70 (assume @p83 (forall (@list @t25 @t1 @t24 @t2) (or @t203 (not @t222) @t219))) % 0.38/0.70 (assume @p84 (forall @t223 (or (not (tptp.member @t6 @t217)) (tptp.equalish (tptp.ordered_pair (tptp.first @t6) (tptp.second @t6)) @t6)))) % 0.38/0.70 (assume @p85 (tptp.subclass tptp.element_relation @t224)) % 0.38/0.70 (assume @p86 (forall @t5 (or (not @t226) @t225))) % 0.38/0.70 (assume @p87 (forall @t5 (or @t227 (not @t225) @t226))) % 0.38/0.70 (assume @p88 (forall @t223 (or @t231 @t228))) % 0.38/0.70 (assume @p89 (forall @t223 (or @t231 @t232))) % 0.38/0.70 (assume @p90 (forall @t223 (or @t233 (not @t232) @t230))) % 0.38/0.70 (assume @p91 (forall @t236 (or (not @t235) @t233))) % 0.38/0.70 (assume @p92 (forall @t236 (or @t237 @t235 @t228))) % 0.38/0.70 (assume @p93 (forall @t5 (tptp.equalish @t238 (tptp.union @t1 @t2)))) % 0.38/0.70 (assume @p94 (forall @t5 (tptp.equalish (tptp.intersection (tptp.complement @t229) @t238) (tptp.symmetric_difference @t1 @t2)))) % 0.38/0.70 (assume @p95 (forall (@list @t239 @t1 @t2) (tptp.equalish (tptp.intersection @t239 @t217) @t240))) % 0.38/0.70 (assume @p96 (forall (@list @t1 @t2 @t239) (tptp.equalish (tptp.intersection @t217 @t239) @t240))) % 0.38/0.70 (assume @p97 (forall (@list @t1 @t6) (or (not @t243) (not @t242)))) % 0.38/0.70 (assume @p98 (forall @t236 (or @t237 @t243 @t242))) % 0.38/0.70 (assume @p99 (forall @t207 (tptp.subclass @t245 @t244))) % 0.38/0.70 (assume @p100 (forall @t249 (or (not @t248) @t246))) % 0.38/0.70 (assume @p101 (forall (@list @t24 @t28 @t25 @t1) (or (not @t246) @t250 @t248))) % 0.38/0.70 (assume @p102 (forall @t207 (tptp.subclass @t251 @t244))) % 0.38/0.70 (assume @p103 (forall @t249 (or (not @t253) @t252))) % 0.38/0.70 (assume @p104 (forall (@list @t24 @t25 @t28 @t1) (or (not @t252) @t250 @t253))) % 0.38/0.70 (assume @p105 (forall @t254 (tptp.equalish (tptp.domain_of (tptp.flip (tptp.cross_product @t2 tptp.universal_class))) (tptp.inverse @t2)))) % 0.38/0.70 (assume @p106 (forall (@list @t6) (tptp.equalish (tptp.domain_of (tptp.inverse @t6)) (tptp.range_of @t6)))) % 0.38/0.70 (assume @p107 (forall @t223 (tptp.equalish (tptp.first (tptp.not_subclass_element (tptp.restrict @t6 @t1 @t216) tptp.null_class)) (tptp.domain @t6 @t1 @t2)))) % 0.38/0.70 (assume @p108 (forall @t223 (tptp.equalish (tptp.second (tptp.not_subclass_element (tptp.restrict @t6 @t214 @t2) tptp.null_class)) (tptp.range @t6 @t1 @t2)))) % 0.38/0.70 (assume @p109 (forall (@list @t239 @t1) (tptp.equalish (tptp.range_of (tptp.restrict @t239 @t1 tptp.universal_class)) (tptp.image @t239 @t1)))) % 0.38/0.70 (assume @p110 (forall @t207 (tptp.equalish (tptp.union @t1 @t214) @t255))) % 0.38/0.70 (assume @p111 (tptp.subclass tptp.successor_relation @t224)) % 0.38/0.70 (assume @p112 (forall @t5 (or (not @t257) @t256))) % 0.38/0.70 (assume @p113 (forall @t5 (or (not @t256) @t227 @t257))) % 0.38/0.70 (assume @p114 (forall @t207 (or @t260 @t258))) % 0.38/0.70 (assume @p115 (forall @t207 (or @t260 @t261))) % 0.38/0.70 (assume @p116 (forall @t207 (or (not @t258) (not @t261) @t259))) % 0.38/0.70 (assume @p117 (tptp.inductive tptp.omega)) % 0.38/0.70 (assume @p118 (forall @t254 (or (not (tptp.inductive @t2)) (tptp.subclass tptp.omega @t2)))) % 0.38/0.70 (assume @p119 (tptp.member tptp.omega tptp.universal_class)) % 0.38/0.70 (assume @p120 (forall @t207 (tptp.equalish (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t1)) @t262))) % 0.38/0.70 (assume @p121 (forall @t207 (or @t211 (tptp.member @t262 tptp.universal_class)))) % 0.38/0.70 (assume @p122 (forall @t207 (tptp.equalish (tptp.complement (tptp.image tptp.element_relation @t234)) (tptp.power_class @t1)))) % 0.38/0.70 (assume @p123 (forall (@list @t25) (or (not @t263) (tptp.member (tptp.power_class @t25) tptp.universal_class)))) % 0.38/0.70 (assume @p124 (forall (@list @t264 @t239) (tptp.subclass @t265 @t224))) % 0.38/0.70 (assume @p125 (forall (@list @t2 @t6 @t264 @t239) (or (not @t268) @t266))) % 0.38/0.70 (assume @p126 (forall (@list @t6 @t264 @t239 @t2) (or (not @t266) (not (tptp.member @t267 @t224)) @t268))) % 0.38/0.70 (assume @p127 (forall @t207 (or (not @t270) @t269))) % 0.38/0.70 (assume @p128 (forall @t207 (or (not @t269) @t270))) % 0.38/0.70 (assume @p129 (forall @t275 (or @t274 @t272))) % 0.38/0.70 (assume @p130 (forall @t275 (or @t274 @t277))) % 0.38/0.70 (assume @p131 (forall @t275 (or (not @t272) (not @t277) @t273))) % 0.38/0.70 (assume @p132 (forall (@list @t271 @t1) (or @t274 @t211 (tptp.member (tptp.image @t271 @t1) tptp.universal_class)))) % 0.38/0.70 (assume @p133 (forall @t207 (or @t279 (tptp.member @t278 @t1)))) % 0.38/0.70 (assume @p134 (forall @t207 (or @t279 (tptp.equalish (tptp.intersection @t1 @t278) tptp.null_class)))) % 0.38/0.70 (assume @p135 (forall (@list @t271 @t2) (tptp.equalish (tptp.sum_class (tptp.image @t271 @t216)) (tptp.apply @t271 @t2)))) % 0.38/0.70 (assume @p136 (tptp.function tptp.choice)) % 0.38/0.70 (assume @p137 (forall @t254 (or @t213 (tptp.equalish @t2 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t2) @t2)))) % 0.38/0.70 (assume @p138 (forall @t275 (or @t281 @t273))) % 0.38/0.70 (assume @p139 (forall @t275 (or @t281 @t282))) % 0.38/0.70 (assume @p140 (forall @t275 (or (not @t282) @t274 @t280))) % 0.38/0.70 (assume @p141 (tptp.equalish (tptp.intersection @t224 (tptp.intersection @t224 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t283)))) tptp.subset_relation)) % 0.38/0.70 (assume @p142 (tptp.equalish (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 0.38/0.70 (assume @p143 (forall (@list @t239) (tptp.equalish (tptp.complement (tptp.domain_of (tptp.intersection @t239 tptp.identity_relation))) (tptp.diagonalise @t239)))) % 0.38/0.70 (assume @p144 (forall @t207 (tptp.equalish (tptp.intersection @t241 (tptp.diagonalise (tptp.compose @t283 @t1))) (tptp.cantor @t1)))) % 0.38/0.70 (assume @p145 (forall @t275 (or @t285 @t273))) % 0.38/0.70 (assume @p146 (forall @t275 (or @t285 @t288))) % 0.38/0.70 (assume @p147 (forall @t275 (or @t285 @t289))) % 0.38/0.70 (assume @p148 (forall @t275 (or @t274 (not @t288) (not @t289) @t284))) % 0.38/0.70 (assume @p149 (forall @t296 (or @t295 @t291))) % 0.38/0.70 (assume @p150 (forall @t296 (or @t295 @t298))) % 0.38/0.70 (assume @p151 (forall @t296 (or @t295 @t299))) % 0.38/0.70 (assume @p152 (forall (@list @t290 @t293 @t292 @t300) (or (not @t291) (not @t298) (not @t299) (tptp.compatible @t300 @t293 @t292)))) % 0.38/0.70 (assume @p153 (forall @t296 (or @t303 @t301))) % 0.38/0.70 (assume @p154 (forall @t296 (or @t303 @t304))) % 0.38/0.70 (assume @p155 (forall @t296 (or @t303 @t294))) % 0.38/0.70 (assume @p156 (forall (@list @t290 @t293 @t292 @t1 @t2) (or @t303 (not (tptp.member @t215 @t297)) (tptp.equalish (tptp.apply @t292 (tptp.ordered_pair (tptp.apply @t290 @t1) (tptp.apply @t290 @t2))) (tptp.apply @t290 (tptp.apply @t293 @t215)))))) % 0.38/0.70 (assume @p157 (forall @t310 (or @t309 @t308 @t295 (tptp.member @t307 @t297) @t302))) % 0.38/0.70 (assume @p158 (forall @t310 (or @t309 @t308 @t295 (not (tptp.equalish (tptp.apply @t292 (tptp.ordered_pair (tptp.apply @t290 @t306) (tptp.apply @t290 @t305))) (tptp.apply @t290 (tptp.apply @t293 @t307)))) @t302))) % 0.38/0.70 (assume @p159 (forall @t312 (or @t311 @t210))) % 0.38/0.70 (assume @p160 (forall @t312 (or @t311 @t212))) % 0.38/0.70 (assume @p161 (forall @t221 (or @t220 @t263))) % 0.38/0.70 (assume @p162 (forall @t221 (or @t220 (tptp.member @t24 tptp.universal_class)))) % 0.38/0.70 (assume @p163 @t313) % 0.38/0.70 (assume @p164 (forall @t7 (or @t205 (not (tptp.subclass @t2 @t6)) (tptp.subclass @t1 @t6)))) % 0.38/0.70 (assume @p165 (not @t314)) % 0.38/0.70 (step @p166 :rule instantiate :premises (@p74) :args ((@list tptp.x tptp.x))) % 0.38/0.70 (step @p167 :rule cnf_or_pos :args (@t317)) % 0.38/0.70 (step @p168 :rule factoring :premises (@p167)) % 0.38/0.70 (step @p169 :rule reordering :premises (@p168) :args ((or @t314 @t316 (not @t317)))) % 0.38/0.70 (step @p170 :rule chain_m_resolution :premises (@p169 @p165 @p166) :args (@t316 @t318 (@list @t314 @t317))) % 0.38/0.70 (assume-push @p177 @t313) % 0.38/0.70 (step @p172 :rule instantiate :premises (@p163) :args ((@list tptp.x))) % 0.38/0.70 (step-pop @p178 :rule scope :premises (@p172)) % 0.38/0.70 (step @p173 :rule process_scope :premises (@p178) :args (@t315)) % 0.38/0.70 (step @p175 :rule implies_elim :premises (@p173)) % 0.38/0.70 (step @p176 false :rule chain_m_resolution :premises (@p175 @p170 @p163) :args (false @t318 (@list @t315 @t313))) % 0.38/0.70 ) % 0.38/0.70 % SZS output end Proof % 0.38/0.70 % cvc5 exiting %------------------------------------------------------------------------------