%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET037-3 : 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 : n023.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 08:47:05 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.68s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET037-3 : 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 : n023.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 14:45:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.68 % SZS status Unsatisfiable % 0.36/0.68 % SZS output start Proof % 0.36/0.69 ( % 0.36/0.69 (declare-sort $$unsorted 0) % 0.36/0.69 (declare-const tptp.a $$unsorted) % 0.36/0.69 (declare-const tptp.a_function $$unsorted) % 0.36/0.69 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.f25 $$unsorted) % 0.36/0.69 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.infinity $$unsorted) % 0.36/0.69 (declare-const tptp.b $$unsorted) % 0.36/0.69 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.estin $$unsorted) % 0.36/0.69 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.empty_set $$unsorted) % 0.36/0.69 (declare-const tptp.universal_set $$unsorted) % 0.36/0.69 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.identity_relation $$unsorted) % 0.36/0.69 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.69 (define @t2 () (tptp.little_set @t1)) % 0.36/0.69 (define @t3 () (@var "Y" $$unsorted)) % 0.36/0.69 (define @t4 () (@list @t1 @t3)) % 0.36/0.69 (define @t5 () (= @t1 @t3)) % 0.36/0.69 (define @t6 () (tptp.f1 @t1 @t3)) % 0.36/0.69 (define @t7 () (tptp.member @t6 @t3)) % 0.36/0.69 (define @t8 () (tptp.member @t6 @t1)) % 0.36/0.69 (define @t9 () (@var "U" $$unsorted)) % 0.36/0.69 (define @t10 () (= @t9 @t3)) % 0.36/0.69 (define @t11 () (= @t9 @t1)) % 0.36/0.69 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 0.36/0.69 (define @t13 () (tptp.member @t9 @t12)) % 0.36/0.69 (define @t14 () (@list @t9 @t1 @t3)) % 0.36/0.69 (define @t15 () (not (tptp.little_set @t9))) % 0.36/0.69 (define @t16 () (tptp.singleton_set @t1)) % 0.36/0.69 (define @t17 () (@list @t1)) % 0.36/0.69 (define @t18 () (tptp.ordered_pair @t1 @t3)) % 0.36/0.69 (define @t19 () (tptp.f2 @t1)) % 0.36/0.69 (define @t20 () (tptp.ordered_pair_predicate @t1)) % 0.36/0.69 (define @t21 () (not @t20)) % 0.36/0.69 (define @t22 () (tptp.f3 @t1)) % 0.36/0.69 (define @t23 () (@var "Z" $$unsorted)) % 0.36/0.69 (define @t24 () (not (tptp.little_set @t23))) % 0.36/0.69 (define @t25 () (not (tptp.little_set @t3))) % 0.36/0.69 (define @t26 () (@list @t1 @t3 @t23)) % 0.36/0.69 (define @t27 () (tptp.f4 @t23 @t1)) % 0.36/0.69 (define @t28 () (tptp.first @t1)) % 0.36/0.69 (define @t29 () (tptp.member @t23 @t28)) % 0.36/0.69 (define @t30 () (not @t29)) % 0.36/0.69 (define @t31 () (@list @t23 @t1)) % 0.36/0.69 (define @t32 () (tptp.f5 @t23 @t1)) % 0.36/0.69 (define @t33 () (@var "V" $$unsorted)) % 0.36/0.69 (define @t34 () (tptp.ordered_pair @t9 @t33)) % 0.36/0.69 (define @t35 () (not (= @t1 @t34))) % 0.36/0.69 (define @t36 () (not (tptp.little_set @t33))) % 0.36/0.69 (define @t37 () (@list @t23 @t1 @t9 @t33)) % 0.36/0.69 (define @t38 () (tptp.f6 @t23 @t1)) % 0.36/0.69 (define @t39 () (tptp.second @t1)) % 0.36/0.69 (define @t40 () (tptp.member @t23 @t39)) % 0.36/0.69 (define @t41 () (not @t40)) % 0.36/0.69 (define @t42 () (tptp.f7 @t23 @t1)) % 0.36/0.69 (define @t43 () (tptp.ordered_pair_predicate @t23)) % 0.36/0.69 (define @t44 () (tptp.member @t23 tptp.estin)) % 0.36/0.69 (define @t45 () (not @t44)) % 0.36/0.69 (define @t46 () (@list @t23)) % 0.36/0.69 (define @t47 () (tptp.second @t23)) % 0.36/0.69 (define @t48 () (tptp.first @t23)) % 0.36/0.69 (define @t49 () (tptp.member @t48 @t47)) % 0.36/0.69 (define @t50 () (not @t43)) % 0.36/0.69 (define @t51 () (tptp.member @t23 @t1)) % 0.36/0.69 (define @t52 () (tptp.member @t23 (tptp.intersection @t1 @t3))) % 0.36/0.69 (define @t53 () (not @t52)) % 0.36/0.69 (define @t54 () (@list @t23 @t1 @t3)) % 0.36/0.69 (define @t55 () (tptp.member @t23 @t3)) % 0.36/0.69 (define @t56 () (not @t55)) % 0.36/0.69 (define @t57 () (not @t51)) % 0.36/0.69 (define @t58 () (tptp.complement @t1)) % 0.36/0.69 (define @t59 () (tptp.member @t23 @t58)) % 0.36/0.69 (define @t60 () (tptp.f8 @t23 @t1)) % 0.36/0.69 (define @t61 () (tptp.domain_of @t1)) % 0.36/0.69 (define @t62 () (tptp.member @t23 @t61)) % 0.36/0.69 (define @t63 () (not @t62)) % 0.36/0.69 (define @t64 () (@var "Xp" $$unsorted)) % 0.36/0.69 (define @t65 () (not (tptp.member @t64 @t1))) % 0.36/0.69 (define @t66 () (not (tptp.ordered_pair_predicate @t64))) % 0.36/0.69 (define @t67 () (@list @t23 @t1 @t64)) % 0.36/0.69 (define @t68 () (tptp.member @t23 (tptp.cross_product @t1 @t3))) % 0.36/0.69 (define @t69 () (not @t68)) % 0.36/0.69 (define @t70 () (tptp.member @t48 @t1)) % 0.36/0.69 (define @t71 () (tptp.member @t47 @t3)) % 0.36/0.69 (define @t72 () (tptp.member @t23 (tptp.converse @t1))) % 0.36/0.69 (define @t73 () (not @t72)) % 0.36/0.69 (define @t74 () (tptp.member (tptp.ordered_pair @t47 @t48) @t1)) % 0.36/0.69 (define @t75 () (tptp.f9 @t23 @t1)) % 0.36/0.69 (define @t76 () (tptp.member @t23 (tptp.rotate_right @t1))) % 0.36/0.69 (define @t77 () (not @t76)) % 0.36/0.69 (define @t78 () (tptp.f10 @t23 @t1)) % 0.36/0.69 (define @t79 () (tptp.f11 @t23 @t1)) % 0.36/0.69 (define @t80 () (@var "W" $$unsorted)) % 0.36/0.69 (define @t81 () (not (= @t23 (tptp.ordered_pair @t9 (tptp.ordered_pair @t33 @t80))))) % 0.36/0.69 (define @t82 () (not (tptp.little_set @t80))) % 0.36/0.69 (define @t83 () (@list @t23 @t1 @t9 @t33 @t80)) % 0.36/0.69 (define @t84 () (tptp.f12 @t23 @t1)) % 0.36/0.69 (define @t85 () (tptp.member @t23 (tptp.flip_range_of @t1))) % 0.36/0.69 (define @t86 () (not @t85)) % 0.36/0.69 (define @t87 () (tptp.f13 @t23 @t1)) % 0.36/0.69 (define @t88 () (tptp.f14 @t23 @t1)) % 0.36/0.69 (define @t89 () (tptp.successor @t1)) % 0.36/0.69 (define @t90 () (tptp.f16 @t23 @t1)) % 0.36/0.69 (define @t91 () (tptp.member @t23 (tptp.sigma @t1))) % 0.36/0.69 (define @t92 () (not @t91)) % 0.36/0.69 (define @t93 () (@list @t9)) % 0.36/0.69 (define @t94 () (tptp.member @t9 @t3)) % 0.36/0.69 (define @t95 () (not (tptp.member @t9 @t1))) % 0.36/0.69 (define @t96 () (tptp.subset @t1 @t3)) % 0.36/0.69 (define @t97 () (not @t96)) % 0.36/0.69 (define @t98 () (@list @t1 @t3 @t9)) % 0.36/0.69 (define @t99 () (tptp.f17 @t1 @t3)) % 0.36/0.69 (define @t100 () (tptp.proper_subset @t1 @t3)) % 0.36/0.69 (define @t101 () (not @t100)) % 0.36/0.69 (define @t102 () (tptp.subset @t23 @t1)) % 0.36/0.69 (define @t103 () (tptp.member @t23 (tptp.powerset @t1))) % 0.36/0.69 (define @t104 () (tptp.relation @t23)) % 0.36/0.69 (define @t105 () (tptp.f18 @t23)) % 0.36/0.69 (define @t106 () (tptp.single_valued_set @t1)) % 0.36/0.69 (define @t107 () (tptp.f19 @t1)) % 0.36/0.69 (define @t108 () (tptp.f20 @t1)) % 0.36/0.69 (define @t109 () (tptp.f21 @t1)) % 0.36/0.69 (define @t110 () (@var "Xf" $$unsorted)) % 0.36/0.69 (define @t111 () (tptp.relation @t110)) % 0.36/0.69 (define @t112 () (tptp.function @t110)) % 0.36/0.69 (define @t113 () (not @t112)) % 0.36/0.69 (define @t114 () (@list @t110)) % 0.36/0.69 (define @t115 () (tptp.single_valued_set @t110)) % 0.36/0.69 (define @t116 () (tptp.f22 @t23 @t1 @t110)) % 0.36/0.69 (define @t117 () (tptp.image @t1 @t110)) % 0.36/0.69 (define @t118 () (tptp.member @t23 @t117)) % 0.36/0.69 (define @t119 () (not @t118)) % 0.36/0.69 (define @t120 () (@list @t23 @t1 @t110)) % 0.36/0.69 (define @t121 () (not @t2)) % 0.36/0.69 (define @t122 () (tptp.disjoint @t1 @t3)) % 0.36/0.69 (define @t123 () (tptp.f23 @t1 @t3)) % 0.36/0.69 (define @t124 () (tptp.f24 @t1)) % 0.36/0.69 (define @t125 () (= @t1 tptp.empty_set)) % 0.36/0.69 (define @t126 () (tptp.f26 @t1)) % 0.36/0.69 (define @t127 () (tptp.f27 @t23 @t1)) % 0.36/0.69 (define @t128 () (tptp.range_of @t1)) % 0.36/0.69 (define @t129 () (tptp.member @t23 @t128)) % 0.36/0.69 (define @t130 () (not @t129)) % 0.36/0.69 (define @t131 () (tptp.member @t23 tptp.identity_relation)) % 0.36/0.69 (define @t132 () (not @t131)) % 0.36/0.69 (define @t133 () (= @t48 @t47)) % 0.36/0.69 (define @t134 () (tptp.one_to_one_function @t110)) % 0.36/0.69 (define @t135 () (not @t134)) % 0.36/0.69 (define @t136 () (tptp.function (tptp.converse @t110))) % 0.36/0.69 (define @t137 () (tptp.f28 @t23 @t110 @t3)) % 0.36/0.69 (define @t138 () (tptp.apply @t110 @t3)) % 0.36/0.69 (define @t139 () (tptp.member @t23 @t138)) % 0.36/0.69 (define @t140 () (not @t139)) % 0.36/0.69 (define @t141 () (@list @t23 @t110 @t3)) % 0.36/0.69 (define @t142 () (@list @t110 @t1 @t3)) % 0.36/0.69 (define @t143 () (tptp.maps @t110 @t1 @t3)) % 0.36/0.69 (define @t144 () (not @t143)) % 0.36/0.69 (define @t145 () (= (tptp.domain_of @t110) @t1)) % 0.36/0.69 (define @t146 () (tptp.subset (tptp.range_of @t110) @t3)) % 0.36/0.69 (define @t147 () (@var "Xs" $$unsorted)) % 0.36/0.69 (define @t148 () (tptp.little_set @t147)) % 0.36/0.69 (define @t149 () (tptp.closed @t147 @t110)) % 0.36/0.69 (define @t150 () (not @t149)) % 0.36/0.69 (define @t151 () (@list @t147 @t110)) % 0.36/0.69 (define @t152 () (tptp.little_set @t110)) % 0.36/0.69 (define @t153 () (tptp.maps @t110 (tptp.cross_product @t147 @t147) @t147)) % 0.36/0.69 (define @t154 () (@var "Xg" $$unsorted)) % 0.36/0.69 (define @t155 () (tptp.f29 @t23 @t110 @t154)) % 0.36/0.69 (define @t156 () (tptp.member @t23 (tptp.compose @t110 @t154))) % 0.36/0.69 (define @t157 () (not @t156)) % 0.36/0.69 (define @t158 () (@list @t23 @t110 @t154)) % 0.36/0.69 (define @t159 () (tptp.f30 @t23 @t110 @t154)) % 0.36/0.69 (define @t160 () (tptp.f31 @t23 @t110 @t154)) % 0.36/0.69 (define @t161 () (@var "Xf1" $$unsorted)) % 0.36/0.69 (define @t162 () (@var "Xs1" $$unsorted)) % 0.36/0.69 (define @t163 () (tptp.closed @t162 @t161)) % 0.36/0.69 (define @t164 () (@var "Xf2" $$unsorted)) % 0.36/0.69 (define @t165 () (@var "Xs2" $$unsorted)) % 0.36/0.69 (define @t166 () (@var "Xh" $$unsorted)) % 0.36/0.69 (define @t167 () (tptp.homomorphism @t166 @t162 @t161 @t165 @t164)) % 0.36/0.69 (define @t168 () (not @t167)) % 0.36/0.69 (define @t169 () (@list @t166 @t162 @t161 @t165 @t164)) % 0.36/0.69 (define @t170 () (tptp.closed @t165 @t164)) % 0.36/0.69 (define @t171 () (tptp.maps @t166 @t162 @t165)) % 0.36/0.69 (define @t172 () (tptp.f32 @t166 @t162 @t161 @t165 @t164)) % 0.36/0.69 (define @t173 () (not @t171)) % 0.36/0.69 (define @t174 () (not @t170)) % 0.36/0.69 (define @t175 () (not @t163)) % 0.36/0.69 (define @t176 () (tptp.f33 @t166 @t162 @t161 @t165 @t164)) % 0.36/0.69 (define @t177 () (not (= @t18 @t34))) % 0.36/0.69 (define @t178 () (tptp.first @t18)) % 0.36/0.69 (define @t179 () (or @t121 @t25 (= @t178 @t1))) % 0.36/0.69 (define @t180 () (forall @t4 @t179)) % 0.36/0.69 (define @t181 () (tptp.image (tptp.singleton_set @t3) @t110)) % 0.36/0.69 (define @t182 () (not (tptp.function @t3))) % 0.36/0.69 (define @t183 () (@list @t3 @t1)) % 0.36/0.69 (define @t184 () (tptp.compose @t3 @t1)) % 0.36/0.69 (define @t185 () (tptp.apply @t110 @t1)) % 0.36/0.69 (define @t186 () (not (tptp.member @t18 @t110))) % 0.36/0.69 (define @t187 () (or @t121 @t25 @t113 @t186 (= @t185 @t3))) % 0.36/0.69 (define @t188 () (forall (@list @t1 @t3 @t110) @t187)) % 0.36/0.69 (define @t189 () (tptp.function tptp.a_function)) % 0.36/0.69 (define @t190 () (tptp.member tptp.a (tptp.domain_of tptp.a_function))) % 0.36/0.69 (define @t191 () (tptp.apply tptp.a_function tptp.a)) % 0.36/0.69 (define @t192 () (tptp.ordered_pair tptp.a tptp.b)) % 0.36/0.69 (define @t193 () (tptp.member @t192 tptp.a_function)) % 0.36/0.69 (define @t194 () (@list tptp.a tptp.a_function)) % 0.36/0.69 (define @t195 () (tptp.f8 tptp.a tptp.a_function)) % 0.36/0.69 (define @t196 () (tptp.member @t195 tptp.a_function)) % 0.36/0.69 (define @t197 () (not @t190)) % 0.36/0.69 (define @t198 () (or @t197 @t196)) % 0.36/0.69 (define @t199 () (@list false false)) % 0.36/0.69 (define @t200 () (@list @t195)) % 0.36/0.69 (define @t201 () (tptp.ordered_pair_predicate @t195)) % 0.36/0.69 (define @t202 () (or @t197 @t201)) % 0.36/0.69 (define @t203 () (tptp.f3 @t195)) % 0.36/0.69 (define @t204 () (tptp.f2 @t195)) % 0.36/0.69 (define @t205 () (tptp.ordered_pair @t204 @t203)) % 0.36/0.69 (define @t206 () (= @t195 @t205)) % 0.36/0.69 (define @t207 () (not @t201)) % 0.36/0.69 (define @t208 () (or @t207 @t206)) % 0.36/0.69 (define @t209 () (tptp.member @t205 tptp.a_function)) % 0.36/0.69 (define @t210 () (tptp.little_set @t203)) % 0.36/0.69 (define @t211 () (or @t207 @t210)) % 0.36/0.69 (define @t212 () (tptp.little_set @t204)) % 0.36/0.69 (define @t213 () (or @t207 @t212)) % 0.36/0.69 (define @t214 () (= @t203 (tptp.apply tptp.a_function @t204))) % 0.36/0.69 (define @t215 () (not @t209)) % 0.36/0.69 (define @t216 () (not @t189)) % 0.36/0.69 (define @t217 () (not @t210)) % 0.36/0.69 (define @t218 () (not @t212)) % 0.36/0.69 (define @t219 () (or @t218 @t217 @t216 @t215 @t214)) % 0.36/0.69 (define @t220 () (= @t204 (tptp.first @t205))) % 0.36/0.69 (define @t221 () (or @t218 @t217 @t220)) % 0.36/0.69 (define @t222 () (tptp.first @t195)) % 0.36/0.69 (define @t223 () (= tptp.a @t222)) % 0.36/0.69 (define @t224 () (or @t197 @t223)) % 0.36/0.69 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 0.36/0.69 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 0.36/0.69 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 0.36/0.69 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 0.36/0.69 (assume @p5 (forall @t14 (or (not @t13) @t11 @t10))) % 0.36/0.69 (assume @p6 (forall @t14 (or @t13 @t15 (not @t11)))) % 0.36/0.69 (assume @p7 (forall @t14 (or @t13 @t15 (not @t10)))) % 0.36/0.69 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 0.36/0.69 (assume @p9 (forall @t17 (= @t16 (tptp.non_ordered_pair @t1 @t1)))) % 0.36/0.69 (assume @p10 (forall @t4 (= @t18 (tptp.non_ordered_pair @t16 @t12)))) % 0.36/0.69 (assume @p11 (forall @t17 (or @t21 (tptp.little_set @t19)))) % 0.36/0.69 (assume @p12 (forall @t17 (or @t21 (tptp.little_set @t22)))) % 0.36/0.69 (assume @p13 (forall @t17 (or @t21 (= @t1 (tptp.ordered_pair @t19 @t22))))) % 0.36/0.69 (assume @p14 (forall @t26 (or @t20 @t25 @t24 (not (= @t1 (tptp.ordered_pair @t3 @t23)))))) % 0.36/0.69 (assume @p15 (forall @t31 (or @t30 (tptp.little_set @t27)))) % 0.36/0.69 (assume @p16 (forall @t31 (or @t30 (tptp.little_set @t32)))) % 0.36/0.69 (assume @p17 (forall @t31 (or @t30 (= @t1 (tptp.ordered_pair @t27 @t32))))) % 0.36/0.69 (assume @p18 (forall @t31 (or @t30 (tptp.member @t23 @t27)))) % 0.36/0.69 (assume @p19 (forall @t37 (or @t29 @t15 @t36 @t35 (not (tptp.member @t23 @t9))))) % 0.36/0.69 (assume @p20 (forall @t31 (or @t41 (tptp.little_set @t38)))) % 0.36/0.69 (assume @p21 (forall @t31 (or @t41 (tptp.little_set @t42)))) % 0.36/0.69 (assume @p22 (forall @t31 (or @t41 (= @t1 (tptp.ordered_pair @t38 @t42))))) % 0.36/0.69 (assume @p23 (forall @t31 (or @t41 (tptp.member @t23 @t42)))) % 0.36/0.69 (assume @p24 (forall @t37 (or @t40 @t15 @t36 @t35 (not (tptp.member @t23 @t33))))) % 0.36/0.69 (assume @p25 (forall @t46 (or @t45 @t43))) % 0.36/0.69 (assume @p26 (forall @t46 (or @t45 @t49))) % 0.36/0.69 (assume @p27 (forall @t46 (or @t44 @t24 @t50 (not @t49)))) % 0.36/0.69 (assume @p28 (forall @t54 (or @t53 @t51))) % 0.36/0.69 (assume @p29 (forall @t54 (or @t53 @t55))) % 0.36/0.69 (assume @p30 (forall @t54 (or @t52 @t57 @t56))) % 0.36/0.69 (assume @p31 (forall @t31 (or (not @t59) @t57))) % 0.36/0.69 (assume @p32 (forall @t31 (or @t59 @t24 @t51))) % 0.36/0.69 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t58 (tptp.complement @t3)))))) % 0.36/0.69 (assume @p34 (forall @t31 (or @t63 (tptp.ordered_pair_predicate @t60)))) % 0.36/0.69 (assume @p35 (forall @t31 (or @t63 (tptp.member @t60 @t1)))) % 0.36/0.69 (assume @p36 (forall @t31 (or @t63 (= @t23 (tptp.first @t60))))) % 0.36/0.69 (assume @p37 (forall @t67 (or @t62 @t24 @t66 @t65 (not (= @t23 (tptp.first @t64)))))) % 0.36/0.69 (assume @p38 (forall @t54 (or @t69 @t43))) % 0.36/0.69 (assume @p39 (forall @t54 (or @t69 @t70))) % 0.36/0.69 (assume @p40 (forall @t54 (or @t69 @t71))) % 0.36/0.69 (assume @p41 (forall @t54 (or @t68 @t24 @t50 (not @t70) (not @t71)))) % 0.36/0.69 (assume @p42 (forall @t31 (or @t73 @t43))) % 0.36/0.69 (assume @p43 (forall @t31 (or @t73 @t74))) % 0.36/0.69 (assume @p44 (forall @t31 (or @t72 @t24 @t50 (not @t74)))) % 0.36/0.69 (assume @p45 (forall @t31 (or @t77 (tptp.little_set @t75)))) % 0.36/0.69 (assume @p46 (forall @t31 (or @t77 (tptp.little_set @t78)))) % 0.36/0.69 (assume @p47 (forall @t31 (or @t77 (tptp.little_set @t79)))) % 0.36/0.69 (assume @p48 (forall @t31 (or @t77 (= @t23 (tptp.ordered_pair @t75 (tptp.ordered_pair @t78 @t79)))))) % 0.36/0.69 (assume @p49 (forall @t31 (or @t77 (tptp.member (tptp.ordered_pair @t78 (tptp.ordered_pair @t79 @t75)) @t1)))) % 0.36/0.69 (assume @p50 (forall @t83 (or @t76 @t24 @t15 @t36 @t82 @t81 (not (tptp.member (tptp.ordered_pair @t33 (tptp.ordered_pair @t80 @t9)) @t1))))) % 0.36/0.69 (assume @p51 (forall @t31 (or @t86 (tptp.little_set @t84)))) % 0.36/0.69 (assume @p52 (forall @t31 (or @t86 (tptp.little_set @t87)))) % 0.36/0.69 (assume @p53 (forall @t31 (or @t86 (tptp.little_set @t88)))) % 0.36/0.69 (assume @p54 (forall @t31 (or @t86 (= @t23 (tptp.ordered_pair @t84 (tptp.ordered_pair @t87 @t88)))))) % 0.36/0.69 (assume @p55 (forall @t31 (or @t86 (tptp.member (tptp.ordered_pair @t84 (tptp.ordered_pair @t88 @t87)) @t1)))) % 0.36/0.69 (assume @p56 (forall @t83 (or @t85 @t24 @t15 @t36 @t82 @t81 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t80 @t33)) @t1))))) % 0.36/0.69 (assume @p57 (forall @t17 (= @t89 (tptp.union @t1 @t16)))) % 0.36/0.69 (assume @p58 (forall @t46 (not (tptp.member @t23 tptp.empty_set)))) % 0.36/0.69 (assume @p59 (forall @t46 (or (tptp.member @t23 tptp.universal_set) @t24))) % 0.36/0.69 (assume @p60 (tptp.little_set tptp.infinity)) % 0.36/0.69 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 0.36/0.69 (assume @p62 (forall @t17 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t89 tptp.infinity)))) % 0.36/0.69 (assume @p63 (forall @t31 (or @t92 (tptp.member @t90 @t1)))) % 0.36/0.69 (assume @p64 (forall @t31 (or @t92 (tptp.member @t23 @t90)))) % 0.36/0.69 (assume @p65 (forall @t54 (or @t91 (not (tptp.member @t3 @t1)) @t56))) % 0.36/0.69 (assume @p66 (forall @t93 (or @t15 (tptp.little_set (tptp.sigma @t9))))) % 0.36/0.69 (assume @p67 (forall @t98 (or @t97 @t95 @t94))) % 0.36/0.69 (assume @p68 (forall @t4 (or @t96 (tptp.member @t99 @t1)))) % 0.36/0.69 (assume @p69 (forall @t4 (or @t96 (not (tptp.member @t99 @t3))))) % 0.36/0.69 (assume @p70 (forall @t4 (or @t101 @t96))) % 0.36/0.69 (assume @p71 (forall @t4 (or @t101 (not @t5)))) % 0.36/0.69 (assume @p72 (forall @t4 (or @t100 @t97 @t5))) % 0.36/0.69 (assume @p73 (forall @t31 (or (not @t103) @t102))) % 0.36/0.69 (assume @p74 (forall @t31 (or @t103 @t24 (not @t102)))) % 0.36/0.69 (assume @p75 (forall @t93 (or @t15 (tptp.little_set (tptp.powerset @t9))))) % 0.36/0.69 (assume @p76 (forall @t31 (or (not @t104) (not (tptp.member @t1 @t23)) @t20))) % 0.36/0.69 (assume @p77 (forall @t46 (or @t104 (tptp.member @t105 @t23)))) % 0.36/0.69 (assume @p78 (forall @t46 (or @t104 (not (tptp.ordered_pair_predicate @t105))))) % 0.36/0.69 (assume @p79 (forall (@list @t1 @t9 @t33 @t80) (or (not @t106) @t15 @t36 @t82 (not (tptp.member @t34 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t80) @t1)) (= @t33 @t80)))) % 0.36/0.69 (assume @p80 (forall @t17 (or @t106 (tptp.little_set @t107)))) % 0.36/0.69 (assume @p81 (forall @t17 (or @t106 (tptp.little_set @t108)))) % 0.36/0.69 (assume @p82 (forall @t17 (or @t106 (tptp.little_set @t109)))) % 0.36/0.69 (assume @p83 (forall @t17 (or @t106 (tptp.member (tptp.ordered_pair @t107 @t108) @t1)))) % 0.36/0.69 (assume @p84 (forall @t17 (or @t106 (tptp.member (tptp.ordered_pair @t107 @t109) @t1)))) % 0.36/0.69 (assume @p85 (forall @t17 (or @t106 (not (= @t108 @t109))))) % 0.36/0.69 (assume @p86 (forall @t114 (or @t113 @t111))) % 0.36/0.69 (assume @p87 (forall @t114 (or @t113 @t115))) % 0.36/0.69 (assume @p88 (forall @t114 (or @t112 (not @t111) (not @t115)))) % 0.36/0.69 (assume @p89 (forall @t120 (or @t119 (tptp.ordered_pair_predicate @t116)))) % 0.36/0.69 (assume @p90 (forall @t120 (or @t119 (tptp.member @t116 @t110)))) % 0.36/0.69 (assume @p91 (forall @t120 (or @t119 (tptp.member (tptp.first @t116) @t1)))) % 0.36/0.69 (assume @p92 (forall @t120 (or @t119 (= (tptp.second @t116) @t23)))) % 0.36/0.69 (assume @p93 (forall (@list @t23 @t1 @t110 @t3) (or @t118 @t24 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t110)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t23))))) % 0.36/0.69 (assume @p94 (forall (@list @t1 @t110) (or @t121 @t113 (tptp.little_set @t117)))) % 0.36/0.69 (assume @p95 (forall @t98 (or (not @t122) @t95 (not @t94)))) % 0.36/0.69 (assume @p96 (forall @t4 (or @t122 (tptp.member @t123 @t1)))) % 0.36/0.69 (assume @p97 (forall @t4 (or @t122 (tptp.member @t123 @t3)))) % 0.36/0.69 (assume @p98 (forall @t17 (or @t125 (tptp.member @t124 @t1)))) % 0.36/0.69 (assume @p99 (forall @t17 (or @t125 (tptp.disjoint @t124 @t1)))) % 0.36/0.69 (assume @p100 (tptp.function tptp.f25)) % 0.36/0.69 (assume @p101 (forall @t17 (or @t121 @t125 (tptp.member @t126 @t1)))) % 0.36/0.69 (assume @p102 (forall @t17 (or @t121 @t125 (tptp.member (tptp.ordered_pair @t1 @t126) tptp.f25)))) % 0.36/0.69 (assume @p103 (forall @t31 (or @t130 (tptp.ordered_pair_predicate @t127)))) % 0.36/0.69 (assume @p104 (forall @t31 (or @t130 (tptp.member @t127 @t1)))) % 0.36/0.69 (assume @p105 (forall @t31 (or @t130 (= @t23 (tptp.second @t127))))) % 0.36/0.69 (assume @p106 (forall @t67 (or @t129 @t24 @t66 @t65 (not (= @t23 (tptp.second @t64)))))) % 0.36/0.69 (assume @p107 (forall @t46 (or @t132 @t43))) % 0.36/0.69 (assume @p108 (forall @t46 (or @t132 @t133))) % 0.36/0.69 (assume @p109 (forall @t46 (or @t131 @t24 @t50 (not @t133)))) % 0.36/0.69 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 0.36/0.69 (assume @p111 (forall @t114 (or @t135 @t112))) % 0.36/0.69 (assume @p112 (forall @t114 (or @t135 @t136))) % 0.36/0.69 (assume @p113 (forall @t114 (or @t134 @t113 (not @t136)))) % 0.36/0.69 (assume @p114 (forall @t141 (or @t140 (tptp.ordered_pair_predicate @t137)))) % 0.36/0.69 (assume @p115 (forall @t141 (or @t140 (tptp.member @t137 @t110)))) % 0.36/0.69 (assume @p116 (forall @t141 (or @t140 (= (tptp.first @t137) @t3)))) % 0.36/0.69 (assume @p117 (forall @t141 (or @t140 (tptp.member @t23 (tptp.second @t137))))) % 0.36/0.69 (assume @p118 (forall (@list @t23 @t110 @t3 @t80) (or @t139 (not (tptp.ordered_pair_predicate @t80)) (not (tptp.member @t80 @t110)) (not (= (tptp.first @t80) @t3)) (not (tptp.member @t23 (tptp.second @t80)))))) % 0.36/0.69 (assume @p119 (forall @t142 (= (tptp.apply_to_two_arguments @t110 @t1 @t3) (tptp.apply @t110 @t18)))) % 0.36/0.69 (assume @p120 (forall @t142 (or @t144 @t112))) % 0.36/0.69 (assume @p121 (forall @t142 (or @t144 @t145))) % 0.36/0.69 (assume @p122 (forall @t142 (or @t144 @t146))) % 0.36/0.69 (assume @p123 (forall @t142 (or @t143 @t113 (not @t145) (not @t146)))) % 0.36/0.69 (assume @p124 (forall @t151 (or @t150 @t148))) % 0.36/0.69 (assume @p125 (forall @t151 (or @t150 @t152))) % 0.36/0.69 (assume @p126 (forall @t151 (or @t150 @t153))) % 0.36/0.69 (assume @p127 (forall @t151 (or @t149 (not @t148) (not @t152) (not @t153)))) % 0.36/0.69 (assume @p128 (forall @t158 (or @t157 (tptp.little_set @t155)))) % 0.36/0.69 (assume @p129 (forall @t158 (or @t157 (tptp.little_set @t159)))) % 0.36/0.69 (assume @p130 (forall @t158 (or @t157 (tptp.little_set @t160)))) % 0.36/0.69 (assume @p131 (forall @t158 (or @t157 (= @t23 (tptp.ordered_pair @t155 @t159))))) % 0.36/0.69 (assume @p132 (forall @t158 (or @t157 (tptp.member (tptp.ordered_pair @t155 @t160) @t110)))) % 0.36/0.69 (assume @p133 (forall @t158 (or @t157 (tptp.member (tptp.ordered_pair @t160 @t159) @t154)))) % 0.36/0.69 (assume @p134 (forall (@list @t23 @t110 @t154 @t1 @t3 @t80) (or @t156 @t24 @t121 @t25 @t82 (not (= @t23 @t18)) (not (tptp.member (tptp.ordered_pair @t1 @t80) @t110)) (not (tptp.member (tptp.ordered_pair @t80 @t3) @t154))))) % 0.36/0.69 (assume @p135 (forall @t169 (or @t168 @t163))) % 0.36/0.69 (assume @p136 (forall @t169 (or @t168 @t170))) % 0.36/0.69 (assume @p137 (forall @t169 (or @t168 @t171))) % 0.36/0.69 (assume @p138 (forall (@list @t166 @t162 @t161 @t165 @t164 @t1 @t3) (or @t168 (not (tptp.member @t1 @t162)) (not (tptp.member @t3 @t162)) (= (tptp.apply @t166 (tptp.apply_to_two_arguments @t161 @t1 @t3)) (tptp.apply_to_two_arguments @t164 (tptp.apply @t166 @t1) (tptp.apply @t166 @t3)))))) % 0.36/0.69 (assume @p139 (forall @t169 (or @t167 @t175 @t174 @t173 (tptp.member @t172 @t162)))) % 0.36/0.69 (assume @p140 (forall @t169 (or @t167 @t175 @t174 @t173 (tptp.member @t176 @t162)))) % 0.36/0.69 (assume @p141 (forall @t169 (or @t167 @t175 @t174 @t173 (not (= (tptp.apply @t166 (tptp.apply_to_two_arguments @t161 @t172 @t176)) (tptp.apply_to_two_arguments @t164 (tptp.apply @t166 @t172) (tptp.apply @t166 @t176))))))) % 0.36/0.69 (assume @p142 (forall (@list @t1 @t9 @t3 @t33) (or @t121 @t15 @t177 (= @t1 @t9)))) % 0.36/0.69 (assume @p143 (forall @t26 (or @t121 @t25 (not (= (tptp.non_ordered_pair @t23 @t1) (tptp.non_ordered_pair @t23 @t3))) @t5))) % 0.36/0.69 (assume @p144 (forall (@list @t1 @t3 @t9 @t33) (or @t121 @t25 @t15 @t36 @t177 (= @t3 @t33)))) % 0.36/0.69 (assume @p145 (forall @t4 (or @t97 (not (tptp.subset @t3 @t1)) @t5))) % 0.36/0.69 (assume @p146 @t180) % 0.36/0.69 (assume @p147 (forall @t4 (or @t121 @t25 (= (tptp.second @t18) @t3)))) % 0.36/0.69 (assume @p148 (forall @t17 (or @t21 (tptp.little_set @t28)))) % 0.36/0.69 (assume @p149 (forall @t17 (or @t21 (tptp.little_set @t39)))) % 0.36/0.69 (assume @p150 (forall @t17 (or @t121 (tptp.member @t1 @t16)))) % 0.36/0.69 (assume @p151 (forall @t4 (tptp.little_set @t18))) % 0.36/0.69 (assume @p152 (forall @t17 (or @t21 @t2))) % 0.36/0.69 (assume @p153 (forall @t26 (or @t97 (not (tptp.subset @t3 @t23)) (tptp.subset @t1 @t23)))) % 0.36/0.69 (assume @p154 (forall (@list @t110 @t3) (tptp.subset @t138 (tptp.sigma @t181)))) % 0.36/0.69 (assume @p155 (forall (@list @t3 @t110) (tptp.subset @t181 @t138))) % 0.36/0.69 (assume @p156 (forall @t183 (or @t182 (tptp.little_set (tptp.apply @t3 @t1))))) % 0.36/0.69 (assume @p157 (forall @t183 (tptp.relation @t184))) % 0.36/0.69 (assume @p158 (forall @t183 (tptp.subset (tptp.range_of @t184) (tptp.range_of @t3)))) % 0.36/0.69 (assume @p159 (forall @t4 (or (not (tptp.subset @t128 (tptp.domain_of @t3))) (= @t61 (tptp.domain_of @t184))))) % 0.36/0.69 (assume @p160 (forall @t4 (or (not (tptp.function @t1)) @t182 (tptp.function @t184)))) % 0.36/0.69 (assume @p161 (forall (@list @t110 @t9 @t33 @t154 @t80) (or (not (tptp.maps @t110 @t9 @t33)) (not (tptp.maps @t154 @t33 @t80)) (tptp.maps (tptp.compose @t154 @t110) @t9 @t80)))) % 0.36/0.69 (assume @p162 @t188) % 0.36/0.69 (assume @p163 @t189) % 0.36/0.69 (assume @p164 @t190) % 0.36/0.69 (assume @p165 (= @t191 tptp.b)) % 0.36/0.69 (assume @p166 (not @t193)) % 0.36/0.69 (step @p167 :rule evaluate :args ((= false true))) % 0.36/0.69 (step @p168 :rule instantiate :premises (@p35) :args (@t194)) % 0.36/0.69 (step @p169 :rule cnf_or_pos :args (@t198)) % 0.36/0.69 (step @p170 :rule reordering :premises (@p169) :args ((or @t197 @t196 (not @t198)))) % 0.36/0.69 (step @p171 :rule chain_m_resolution :premises (@p170 @p164 @p168) :args (@t196 @t199 (@list @t190 @t198))) % 0.36/0.69 (step @p172 :rule true_intro :premises (@p171)) % 0.36/0.69 (step @p173 :rule refl :args (tptp.a_function)) % 0.36/0.69 (step @p174 :rule instantiate :premises (@p13) :args (@t200)) % 0.36/0.69 (step @p175 :rule instantiate :premises (@p34) :args (@t194)) % 0.36/0.69 (step @p176 :rule cnf_or_pos :args (@t202)) % 0.36/0.69 (step @p177 :rule reordering :premises (@p176) :args ((or @t197 @t201 (not @t202)))) % 0.36/0.69 (step @p178 :rule chain_m_resolution :premises (@p177 @p164 @p175) :args (@t201 @t199 (@list @t190 @t202))) % 0.36/0.69 (step @p179 :rule cnf_or_pos :args (@t208)) % 0.36/0.69 (step @p180 :rule reordering :premises (@p179) :args ((or @t207 @t206 (not @t208)))) % 0.36/0.69 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p174) :args (@t206 @t199 (@list @t201 @t208))) % 0.36/0.69 (step @p182 :rule symm :premises (@p181)) % 0.36/0.69 (step @p183 :rule eq-symm :args (@t185 @t3)) % 0.36/0.69 (step @p184 :rule refl :args (@t186)) % 0.36/0.69 (step @p185 :rule refl :args (@t113)) % 0.36/0.69 (step @p186 :rule refl :args (@t25)) % 0.36/0.69 (step @p187 :rule refl :args (@t121)) % 0.36/0.69 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185 @p184 @p183) :args (@t187)) % 0.36/0.69 (step @p189 :rule cong :premises (@p188) :args (@t188)) % 0.36/0.69 (step @p190 :rule eq_resolve :premises (@p162 @p189)) % 0.36/0.69 (step @p191 :rule instantiate :premises (@p190) :args ((@list @t204 @t203 tptp.a_function))) % 0.36/0.69 (step @p192 :rule cong :premises (@p182 @p173) :args (@t209)) % 0.36/0.69 (step @p193 :rule trans :premises (@p192 @p172)) % 0.36/0.69 (step @p194 :rule true_elim :premises (@p193)) % 0.36/0.69 (step @p195 :rule instantiate :premises (@p12) :args (@t200)) % 0.36/0.69 (step @p196 :rule cnf_or_pos :args (@t211)) % 0.36/0.69 (step @p197 :rule reordering :premises (@p196) :args ((or @t207 @t210 (not @t211)))) % 0.36/0.69 (step @p198 :rule chain_m_resolution :premises (@p197 @p178 @p195) :args (@t210 @t199 (@list @t201 @t211))) % 0.36/0.69 (step @p199 :rule instantiate :premises (@p11) :args (@t200)) % 0.36/0.69 (step @p200 :rule cnf_or_pos :args (@t213)) % 0.36/0.69 (step @p201 :rule reordering :premises (@p200) :args ((or @t207 @t212 (not @t213)))) % 0.36/0.69 (step @p202 :rule chain_m_resolution :premises (@p201 @p178 @p199) :args (@t212 @t199 (@list @t201 @t213))) % 0.36/0.69 (step @p203 :rule cnf_or_pos :args (@t219)) % 0.36/0.69 (step @p204 :rule reordering :premises (@p203) :args ((or @t216 @t218 @t217 @t215 @t214 (not @t219)))) % 0.36/0.69 (step @p205 :rule chain_m_resolution :premises (@p204 @p163 @p202 @p198 @p194 @p191) :args (@t214 (@list false false false false false) (@list @t189 @t212 @t210 @t209 @t219))) % 0.36/0.69 (step @p206 :rule symm :premises (@p205)) % 0.36/0.69 (step @p207 :rule eq-symm :args (@t178 @t1)) % 0.36/0.69 (step @p208 :rule nary_cong :premises (@p187 @p186 @p207) :args (@t179)) % 0.36/0.69 (step @p209 :rule cong :premises (@p208) :args (@t180)) % 0.36/0.69 (step @p210 :rule eq_resolve :premises (@p146 @p209)) % 0.36/0.69 (step @p211 :rule instantiate :premises (@p210) :args ((@list @t204 @t203))) % 0.36/0.69 (step @p212 :rule cnf_or_pos :args (@t221)) % 0.36/0.69 (step @p213 :rule reordering :premises (@p212) :args ((or @t218 @t217 @t220 (not @t221)))) % 0.36/0.69 (step @p214 :rule chain_m_resolution :premises (@p213 @p202 @p198 @p211) :args (@t220 (@list false false false) (@list @t212 @t210 @t221))) % 0.36/0.69 (step @p215 :rule symm :premises (@p214)) % 0.36/0.69 (step @p216 :rule cong :premises (@p181) :args (@t222)) % 0.36/0.69 (step @p217 :rule instantiate :premises (@p36) :args (@t194)) % 0.36/0.69 (step @p218 :rule cnf_or_pos :args (@t224)) % 0.36/0.69 (step @p219 :rule reordering :premises (@p218) :args ((or @t197 @t223 (not @t224)))) % 0.36/0.69 (step @p220 :rule chain_m_resolution :premises (@p219 @p164 @p217) :args (@t223 @t199 (@list @t190 @t224))) % 0.36/0.69 (step @p221 :rule trans :premises (@p220 @p216 @p215)) % 0.36/0.69 (step @p222 :rule cong :premises (@p173 @p221) :args (@t191)) % 0.36/0.69 (step @p223 :rule symm :premises (@p165)) % 0.36/0.69 (step @p224 :rule trans :premises (@p223 @p222 @p206)) % 0.36/0.69 (step @p225 :rule cong :premises (@p221 @p224) :args (@t192)) % 0.36/0.69 (step @p226 :rule trans :premises (@p225 @p182)) % 0.36/0.69 (step @p227 :rule cong :premises (@p226 @p173) :args (@t193)) % 0.36/0.69 (step @p228 :rule false_intro :premises (@p166)) % 0.36/0.69 (step @p229 :rule symm :premises (@p228)) % 0.36/0.69 (step @p230 :rule trans :premises (@p229 @p227 @p172)) % 0.36/0.69 (step @p231 false :rule eq_resolve :premises (@p230 @p167)) % 0.36/0.69 ) % 0.36/0.69 % SZS output end Proof % 0.36/0.70 % cvc5 exiting %------------------------------------------------------------------------------