%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET737+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:48:32 AM UTC 2026 % Result : Theorem 280.19s 280.51s % Output : Proof 280.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET737+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n015.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:11:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 280.19/280.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 280.19/280.51 --- Run --no-e-matching --full-saturate-quant at 6... % 280.19/280.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 280.19/280.51 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 280.19/280.51 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 280.19/280.51 --- Run --trigger-sel=max --full-saturate-quant at 15... % 280.19/280.51 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 280.19/280.51 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 280.19/280.51 --- Run --prenex-quant=none --full-saturate-quant at 30... % 280.19/280.51 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 280.19/280.51 --- Run --relevant-triggers --full-saturate-quant at 30... % 280.19/280.51 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 280.19/280.51 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 280.19/280.51 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 280.19/280.51 --- Run --no-cbqi --full-saturate-quant at 9... % 280.19/280.51 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 280.19/280.51 % SZS status Theorem % 280.19/280.51 % SZS output start Proof % 280.19/280.51 ( % 280.19/280.51 (declare-sort $$unsorted 0) % 280.19/280.51 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.empty_set $$unsorted) % 280.19/280.51 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 280.19/280.51 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 280.19/280.51 (define @t1 () (@var "B" $$unsorted)) % 280.19/280.51 (define @t2 () (@var "X" $$unsorted)) % 280.19/280.51 (define @t3 () (tptp.member @t2 @t1)) % 280.19/280.51 (define @t4 () (@var "A" $$unsorted)) % 280.19/280.51 (define @t5 () (tptp.member @t2 @t4)) % 280.19/280.51 (define @t6 () (@list @t2)) % 280.19/280.51 (define @t7 () (tptp.subset @t4 @t1)) % 280.19/280.51 (define @t8 () (@list @t4 @t1)) % 280.19/280.51 (define @t9 () (@list @t2 @t4)) % 280.19/280.51 (define @t10 () (@list @t2 @t4 @t1)) % 280.19/280.51 (define @t11 () (@var "E" $$unsorted)) % 280.19/280.51 (define @t12 () (= @t2 @t4)) % 280.19/280.51 (define @t13 () (@var "Y" $$unsorted)) % 280.19/280.51 (define @t14 () (tptp.member @t2 @t13)) % 280.19/280.51 (define @t15 () (tptp.member @t13 @t4)) % 280.19/280.51 (define @t16 () (@list @t13)) % 280.19/280.51 (define @t17 () (@var "Y2" $$unsorted)) % 280.19/280.51 (define @t18 () (@var "Y1" $$unsorted)) % 280.19/280.51 (define @t19 () (= @t18 @t17)) % 280.19/280.51 (define @t20 () (@var "F" $$unsorted)) % 280.19/280.51 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 280.19/280.51 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 280.19/280.51 (define @t23 () (and @t22 @t21)) % 280.19/280.51 (define @t24 () (=> @t23 @t19)) % 280.19/280.51 (define @t25 () (tptp.member @t17 @t1)) % 280.19/280.51 (define @t26 () (tptp.member @t18 @t1)) % 280.19/280.51 (define @t27 () (and @t5 @t26 @t25)) % 280.19/280.51 (define @t28 () (@list @t2 @t18 @t17)) % 280.19/280.51 (define @t29 () (forall @t28 (=> @t27 @t24))) % 280.19/280.51 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 280.19/280.51 (define @t31 () (tptp.member @t13 @t1)) % 280.19/280.51 (define @t32 () (and @t31 @t30)) % 280.19/280.51 (define @t33 () (exists @t16 @t32)) % 280.19/280.51 (define @t34 () (=> @t5 @t33)) % 280.19/280.51 (define @t35 () (forall @t6 @t34)) % 280.19/280.51 (define @t36 () (and @t35 @t29)) % 280.19/280.51 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 280.19/280.51 (define @t38 () (= @t37 @t36)) % 280.19/280.51 (define @t39 () (@list @t20 @t4 @t1)) % 280.19/280.51 (define @t40 () (forall @t39 @t38)) % 280.19/280.51 (define @t41 () (@var "Z" $$unsorted)) % 280.19/280.51 (define @t42 () (@var "G" $$unsorted)) % 280.19/280.51 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 280.19/280.51 (define @t44 () (and @t31 @t30 @t43)) % 280.19/280.51 (define @t45 () (exists @t16 @t44)) % 280.19/280.51 (define @t46 () (@var "H" $$unsorted)) % 280.19/280.51 (define @t47 () (@var "C" $$unsorted)) % 280.19/280.51 (define @t48 () (tptp.member @t41 @t47)) % 280.19/280.51 (define @t49 () (and @t5 @t48)) % 280.19/280.51 (define @t50 () (tptp.compose_function @t42 @t20 @t4 @t1 @t47)) % 280.19/280.51 (define @t51 () (tptp.apply @t50 @t2 @t41)) % 280.19/280.51 (define @t52 () (=> @t49 (= @t51 @t45))) % 280.19/280.51 (define @t53 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 280.19/280.51 (define @t54 () (forall @t53 @t52)) % 280.19/280.51 (define @t55 () (tptp.apply @t42 @t2 @t17)) % 280.19/280.51 (define @t56 () (@var "X2" $$unsorted)) % 280.19/280.51 (define @t57 () (@var "X1" $$unsorted)) % 280.19/280.51 (define @t58 () (= @t57 @t56)) % 280.19/280.51 (define @t59 () (tptp.apply @t20 @t56 @t13)) % 280.19/280.51 (define @t60 () (tptp.apply @t20 @t57 @t13)) % 280.19/280.51 (define @t61 () (and @t60 @t59)) % 280.19/280.51 (define @t62 () (=> @t61 @t58)) % 280.19/280.51 (define @t63 () (tptp.member @t56 @t4)) % 280.19/280.51 (define @t64 () (tptp.member @t57 @t4)) % 280.19/280.51 (define @t65 () (and @t64 @t63 @t31)) % 280.19/280.51 (define @t66 () (@list @t57 @t56 @t13)) % 280.19/280.51 (define @t67 () (forall @t66 (=> @t65 @t62))) % 280.19/280.51 (define @t68 () (tptp.injective @t20 @t4 @t1)) % 280.19/280.51 (define @t69 () (= @t68 @t67)) % 280.19/280.51 (define @t70 () (forall @t39 @t69)) % 280.19/280.51 (define @t71 () (tptp.apply @t20 @t11 @t13)) % 280.19/280.51 (define @t72 () (tptp.member @t11 @t4)) % 280.19/280.51 (define @t73 () (and @t72 @t71)) % 280.19/280.51 (define @t74 () (@list @t11)) % 280.19/280.51 (define @t75 () (exists @t74 @t73)) % 280.19/280.51 (define @t76 () (=> @t31 @t75)) % 280.19/280.51 (define @t77 () (forall @t16 @t76)) % 280.19/280.51 (define @t78 () (tptp.surjective @t20 @t4 @t1)) % 280.19/280.51 (define @t79 () (= @t78 @t77)) % 280.19/280.51 (define @t80 () (forall @t39 @t79)) % 280.19/280.51 (define @t81 () (and @t68 @t78)) % 280.19/280.51 (define @t82 () (tptp.one_to_one @t20 @t4 @t1)) % 280.19/280.51 (define @t83 () (= @t82 @t81)) % 280.19/280.51 (define @t84 () (forall @t39 @t83)) % 280.19/280.51 (define @t85 () (and @t5 @t31)) % 280.19/280.51 (define @t86 () (exists @t6 (and @t5 @t30))) % 280.19/280.51 (define @t87 () (@var "S" $$unsorted)) % 280.19/280.51 (define @t88 () (tptp.apply @t87 @t18 @t17)) % 280.19/280.51 (define @t89 () (tptp.apply @t20 @t56 @t17)) % 280.19/280.51 (define @t90 () (tptp.apply @t20 @t57 @t18)) % 280.19/280.51 (define @t91 () (@var "R" $$unsorted)) % 280.19/280.51 (define @t92 () (tptp.apply @t91 @t57 @t56)) % 280.19/280.51 (define @t93 () (and @t64 @t26 @t63 @t25 @t92 @t90 @t89)) % 280.19/280.51 (define @t94 () (@list @t57 @t18 @t56 @t17)) % 280.19/280.51 (define @t95 () (@list @t20 @t4 @t91 @t1 @t87)) % 280.19/280.51 (define @t96 () (tptp.one_to_one @t42 @t1 @t47)) % 280.19/280.51 (define @t97 () (tptp.compose_function @t42 (tptp.compose_function @t20 @t46 @t47 @t4 @t1) @t47 @t1 @t47)) % 280.19/280.51 (define @t98 () (tptp.surjective @t97 @t47 @t47)) % 280.19/280.51 (define @t99 () (tptp.compose_function @t20 (tptp.compose_function @t46 @t42 @t1 @t47 @t4) @t1 @t4 @t1)) % 280.19/280.51 (define @t100 () (tptp.injective @t99 @t1 @t1)) % 280.19/280.51 (define @t101 () (tptp.compose_function @t46 @t50 @t4 @t47 @t4)) % 280.19/280.51 (define @t102 () (tptp.injective @t101 @t4 @t4)) % 280.19/280.51 (define @t103 () (tptp.maps @t46 @t47 @t4)) % 280.19/280.51 (define @t104 () (tptp.maps @t42 @t1 @t47)) % 280.19/280.51 (define @t105 () (and @t37 @t104 @t103 @t102 @t100 @t98)) % 280.19/280.51 (define @t106 () (@list @t20 @t42 @t46 @t4 @t1 @t47)) % 280.19/280.51 (define @t107 () (forall @t106 (=> @t105 @t96))) % 280.19/280.51 (define @t108 () (not @t107)) % 280.19/280.51 (define @t109 () (@var "BOUND_VARIABLE_8465" $$unsorted)) % 280.19/280.51 (define @t110 () (not (tptp.member @t11 @t1))) % 280.19/280.51 (define @t111 () (or (not (tptp.member @t109 @t47)) (not (forall @t74 (or @t110 (not (tptp.apply @t42 @t11 @t109))))))) % 280.19/280.51 (define @t112 () (@var "BOUND_VARIABLE_8449" $$unsorted)) % 280.19/280.51 (define @t113 () (@var "BOUND_VARIABLE_8447" $$unsorted)) % 280.19/280.51 (define @t114 () (@var "BOUND_VARIABLE_8451" $$unsorted)) % 280.19/280.51 (define @t115 () (or (not (tptp.member @t113 @t1)) (not (tptp.member @t112 @t1)) (not (tptp.member @t114 @t47)) (not (tptp.apply @t42 @t113 @t114)) (not (tptp.apply @t42 @t112 @t114)) (= @t113 @t112))) % 280.19/280.51 (define @t116 () (and @t115 @t111)) % 280.19/280.51 (define @t117 () (not (tptp.member @t13 @t47))) % 280.19/280.51 (define @t118 () (forall @t16 (or @t117 (not (forall @t74 (or (not (tptp.member @t11 @t47)) (not (tptp.apply @t97 @t11 @t13)))))))) % 280.19/280.51 (define @t119 () (not @t118)) % 280.19/280.51 (define @t120 () (not @t31)) % 280.19/280.51 (define @t121 () (not (tptp.member @t56 @t1))) % 280.19/280.51 (define @t122 () (not (tptp.member @t57 @t1))) % 280.19/280.51 (define @t123 () (forall @t66 (or @t122 @t121 @t120 (not (tptp.apply @t99 @t57 @t13)) (not (tptp.apply @t99 @t56 @t13)) @t58))) % 280.19/280.51 (define @t124 () (not @t123)) % 280.19/280.51 (define @t125 () (not @t15)) % 280.19/280.51 (define @t126 () (not @t63)) % 280.19/280.51 (define @t127 () (not @t64)) % 280.19/280.51 (define @t128 () (forall @t66 (or @t127 @t126 @t125 (not (tptp.apply @t101 @t57 @t13)) (not (tptp.apply @t101 @t56 @t13)) @t58))) % 280.19/280.51 (define @t129 () (not @t128)) % 280.19/280.51 (define @t130 () (not (tptp.member @t2 @t47))) % 280.19/280.51 (define @t131 () (forall @t28 (or @t130 (not (tptp.member @t18 @t4)) (not (tptp.member @t17 @t4)) (not (tptp.apply @t46 @t2 @t18)) (not (tptp.apply @t46 @t2 @t17)) @t19))) % 280.19/280.51 (define @t132 () (not @t131)) % 280.19/280.51 (define @t133 () (forall @t6 (or @t130 (not (forall @t16 (or @t125 (not (tptp.apply @t46 @t2 @t13)))))))) % 280.19/280.51 (define @t134 () (not @t133)) % 280.19/280.51 (define @t135 () (not @t3)) % 280.19/280.51 (define @t136 () (forall @t28 (or @t135 (not (tptp.member @t18 @t47)) (not (tptp.member @t17 @t47)) (not (tptp.apply @t42 @t2 @t18)) (not @t55) @t19))) % 280.19/280.51 (define @t137 () (not @t136)) % 280.19/280.51 (define @t138 () (forall @t6 (or @t135 (not (forall @t16 (or @t117 (not (tptp.apply @t42 @t2 @t13)))))))) % 280.19/280.51 (define @t139 () (not @t138)) % 280.19/280.51 (define @t140 () (not @t21)) % 280.19/280.51 (define @t141 () (not @t22)) % 280.19/280.51 (define @t142 () (not @t25)) % 280.19/280.51 (define @t143 () (not @t26)) % 280.19/280.51 (define @t144 () (not @t5)) % 280.19/280.51 (define @t145 () (or @t144 @t143 @t142 @t141 @t140 @t19)) % 280.19/280.51 (define @t146 () (forall @t28 @t145)) % 280.19/280.51 (define @t147 () (not @t146)) % 280.19/280.51 (define @t148 () (not @t30)) % 280.19/280.51 (define @t149 () (not (forall @t16 (or @t120 @t148)))) % 280.19/280.51 (define @t150 () (forall @t6 (or @t144 @t149))) % 280.19/280.51 (define @t151 () (not @t150)) % 280.19/280.51 (define @t152 () (or @t151 @t147 @t139 @t137 @t134 @t132 @t129 @t124 @t119 @t116)) % 280.19/280.51 (define @t153 () (forall (@list @t20 @t42 @t46 @t4 @t1 @t47 @t113 @t112 @t114 @t109) @t152)) % 280.19/280.51 (define @t154 () (@quantifiers_skolemize @t153 5)) % 280.19/280.51 (define @t155 () (@quantifiers_skolemize @t153 9)) % 280.19/280.51 (define @t156 () (tptp.member @t155 @t154)) % 280.19/280.51 (define @t157 () (@quantifiers_skolemize @t153 1)) % 280.19/280.51 (define @t158 () (@quantifiers_skolemize @t153 4)) % 280.19/280.51 (define @t159 () (forall @t74 (or (not (tptp.member @t11 @t158)) (not (tptp.apply @t157 @t11 @t155))))) % 280.19/280.51 (define @t160 () (not @t159)) % 280.19/280.51 (define @t161 () (not @t156)) % 280.19/280.51 (define @t162 () (or @t161 @t160)) % 280.19/280.51 (define @t163 () (@list @t113 @t112 @t114 @t109)) % 280.19/280.51 (define @t164 () (forall @t163 @t152)) % 280.19/280.51 (define @t165 () (forall (@list @t109) @t111)) % 280.19/280.51 (define @t166 () (forall @t163 @t111)) % 280.19/280.51 (define @t167 () (forall (@list @t113 @t112 @t114) @t115)) % 280.19/280.51 (define @t168 () (forall @t163 @t115)) % 280.19/280.51 (define @t169 () (and @t168 @t166)) % 280.19/280.51 (define @t170 () (forall @t163 @t116)) % 280.19/280.51 (define @t171 () (or @t151 @t147 @t139 @t137 @t134 @t132 @t129 @t124 @t119 @t170)) % 280.19/280.51 (define @t172 () (and (forall @t66 (or @t122 @t121 @t117 (not (tptp.apply @t42 @t57 @t13)) (not (tptp.apply @t42 @t56 @t13)) @t58)) (forall @t16 (or @t117 (not (forall @t74 (or @t110 (not (tptp.apply @t42 @t11 @t13))))))))) % 280.19/280.51 (define @t173 () (or @t151 @t147 @t139 @t137 @t134 @t132 @t129 @t124 @t119 @t172)) % 280.19/280.51 (define @t174 () (and @t133 @t131)) % 280.19/280.51 (define @t175 () (and @t138 @t136)) % 280.19/280.51 (define @t176 () (and @t150 @t146)) % 280.19/280.51 (define @t177 () (or (not @t176) (not @t175) (not @t174) @t129 @t124 @t119 @t172)) % 280.19/280.51 (define @t178 () (@var "BOUND_VARIABLE_8131" $$unsorted)) % 280.19/280.51 (define @t179 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 280.19/280.51 (define @t180 () (@var "BOUND_VARIABLE_8133" $$unsorted)) % 280.19/280.51 (define @t181 () (not (tptp.member @t13 @t180))) % 280.19/280.51 (define @t182 () (lambda (@list @t178 @t179 @t180) (and (forall @t66 (or (not (tptp.member @t57 @t179)) (not (tptp.member @t56 @t179)) @t181 (not (tptp.apply @t178 @t57 @t13)) (not (tptp.apply @t178 @t56 @t13)) @t58)) (forall @t16 (or @t181 (not (forall @t74 (or (not (tptp.member @t11 @t179)) (not (tptp.apply @t178 @t11 @t13)))))))))) % 280.19/280.51 (define @t183 () (_ @t182 @t42 @t1 @t47)) % 280.19/280.51 (define @t184 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 280.19/280.51 (define @t185 () (@var "BOUND_VARIABLE_8099" $$unsorted)) % 280.19/280.51 (define @t186 () (@var "BOUND_VARIABLE_8100" $$unsorted)) % 280.19/280.51 (define @t187 () (lambda (@list @t184 @t185 @t186) (forall @t16 (or (not (tptp.member @t13 @t186)) (not (forall @t74 (or (not (tptp.member @t11 @t185)) (not (tptp.apply @t184 @t11 @t13))))))))) % 280.19/280.51 (define @t188 () (_ @t187 @t97 @t47 @t47)) % 280.19/280.51 (define @t189 () (not @t188)) % 280.19/280.51 (define @t190 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 280.19/280.51 (define @t191 () (@var "BOUND_VARIABLE_8075" $$unsorted)) % 280.19/280.51 (define @t192 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 280.19/280.51 (define @t193 () (lambda (@list @t190 @t192 @t191) (forall @t66 (or (not (tptp.member @t57 @t192)) (not (tptp.member @t56 @t192)) (not (tptp.member @t13 @t191)) (not (tptp.apply @t190 @t57 @t13)) (not (tptp.apply @t190 @t56 @t13)) @t58)))) % 280.19/280.51 (define @t194 () (_ @t193 @t99 @t1 @t1)) % 280.19/280.51 (define @t195 () (not @t194)) % 280.19/280.51 (define @t196 () (_ @t193 @t101 @t4 @t4)) % 280.19/280.51 (define @t197 () (not @t196)) % 280.19/280.51 (define @t198 () (@var "BOUND_VARIABLE_7959" $$unsorted)) % 280.19/280.51 (define @t199 () (@var "BOUND_VARIABLE_7961" $$unsorted)) % 280.19/280.51 (define @t200 () (@var "BOUND_VARIABLE_7960" $$unsorted)) % 280.19/280.51 (define @t201 () (not (tptp.member @t2 @t200))) % 280.19/280.51 (define @t202 () (lambda (@list @t198 @t200 @t199) (and (forall @t6 (or @t201 (not (forall @t16 (or (not (tptp.member @t13 @t199)) (not (tptp.apply @t198 @t2 @t13))))))) (forall @t28 (or @t201 (not (tptp.member @t18 @t199)) (not (tptp.member @t17 @t199)) (not (tptp.apply @t198 @t2 @t18)) (not (tptp.apply @t198 @t2 @t17)) @t19))))) % 280.19/280.51 (define @t203 () (_ @t202 @t46 @t47 @t4)) % 280.19/280.51 (define @t204 () (not @t203)) % 280.19/280.51 (define @t205 () (_ @t202 @t42 @t1 @t47)) % 280.19/280.51 (define @t206 () (not @t205)) % 280.19/280.51 (define @t207 () (_ @t202 @t20 @t4 @t1)) % 280.19/280.51 (define @t208 () (not @t207)) % 280.19/280.51 (define @t209 () (or @t208 @t206 @t204 @t197 @t195 @t189 @t183)) % 280.19/280.51 (define @t210 () (forall @t106 @t209)) % 280.19/280.51 (define @t211 () (not (forall @t74 (or (not @t72) (not @t71))))) % 280.19/280.51 (define @t212 () (forall @t16 (or @t120 @t211))) % 280.19/280.51 (define @t213 () (not @t59)) % 280.19/280.51 (define @t214 () (not @t60)) % 280.19/280.51 (define @t215 () (or @t127 @t126 @t120 @t214 @t213 @t58)) % 280.19/280.51 (define @t216 () (forall @t66 @t215)) % 280.19/280.51 (define @t217 () (_ @t187 @t20 @t4 @t1)) % 280.19/280.51 (define @t218 () (_ @t193 @t20 @t4 @t1)) % 280.19/280.51 (define @t219 () (and @t218 @t217)) % 280.19/280.51 (define @t220 () (= @t82 @t219)) % 280.19/280.51 (define @t221 () (forall @t74 (not @t73))) % 280.19/280.51 (define @t222 () (not @t221)) % 280.19/280.51 (define @t223 () (or @t214 @t213 @t58)) % 280.19/280.51 (define @t224 () (or @t127 @t126 @t120)) % 280.19/280.51 (define @t225 () (not @t98)) % 280.19/280.51 (define @t226 () (not @t100)) % 280.19/280.51 (define @t227 () (not @t102)) % 280.19/280.51 (define @t228 () (or @t141 @t140 @t19)) % 280.19/280.51 (define @t229 () (or @t144 @t143 @t142)) % 280.19/280.51 (define @t230 () (forall @t16 (not @t32))) % 280.19/280.51 (define @t231 () (not @t230)) % 280.19/280.51 (define @t232 () (not @t103)) % 280.19/280.51 (define @t233 () (not @t104)) % 280.19/280.51 (define @t234 () (not @t37)) % 280.19/280.51 (define @t235 () (or @t234 @t233 @t232 @t227 @t226 @t225 @t96)) % 280.19/280.51 (define @t236 () (forall @t106 @t235)) % 280.19/280.51 (define @t237 () (or @t234 @t233 @t232 @t227 @t226 @t225)) % 280.19/280.51 (define @t238 () (@quantifiers_skolemize @t153 3)) % 280.19/280.51 (define @t239 () (@quantifiers_skolemize @t153 2)) % 280.19/280.51 (define @t240 () (@quantifiers_skolemize @t153 0)) % 280.19/280.51 (define @t241 () (tptp.compose_function @t240 @t239 @t154 @t238 @t158)) % 280.19/280.51 (define @t242 () (tptp.compose_function @t157 @t241 @t154 @t158 @t154)) % 280.19/280.51 (define @t243 () (not (tptp.member @t11 @t154))) % 280.19/280.51 (define @t244 () (not (tptp.member @t13 @t154))) % 280.19/280.51 (define @t245 () (forall @t16 (or @t244 (not (forall @t74 (or @t243 (not (tptp.apply @t242 @t11 @t13)))))))) % 280.19/280.51 (define @t246 () (@quantifiers_skolemize @t153 7)) % 280.19/280.51 (define @t247 () (@quantifiers_skolemize @t153 6)) % 280.19/280.51 (define @t248 () (= @t247 @t246)) % 280.19/280.51 (define @t249 () (@quantifiers_skolemize @t153 8)) % 280.19/280.51 (define @t250 () (tptp.apply @t157 @t246 @t249)) % 280.19/280.51 (define @t251 () (not @t250)) % 280.19/280.51 (define @t252 () (tptp.apply @t157 @t247 @t249)) % 280.19/280.51 (define @t253 () (not @t252)) % 280.19/280.51 (define @t254 () (tptp.member @t249 @t154)) % 280.19/280.51 (define @t255 () (not @t254)) % 280.19/280.51 (define @t256 () (tptp.member @t246 @t158)) % 280.19/280.51 (define @t257 () (not @t256)) % 280.19/280.51 (define @t258 () (tptp.member @t247 @t158)) % 280.19/280.51 (define @t259 () (not @t258)) % 280.19/280.51 (define @t260 () (or @t259 @t257 @t255 @t253 @t251 @t248)) % 280.19/280.51 (define @t261 () (and @t260 @t162)) % 280.19/280.51 (define @t262 () (not @t245)) % 280.19/280.51 (define @t263 () (tptp.compose_function @t239 @t157 @t158 @t154 @t238)) % 280.19/280.51 (define @t264 () (tptp.compose_function @t240 @t263 @t158 @t238 @t158)) % 280.19/280.51 (define @t265 () (not (tptp.member @t13 @t158))) % 280.19/280.51 (define @t266 () (forall @t66 (or (not (tptp.member @t57 @t158)) (not (tptp.member @t56 @t158)) @t265 (not (tptp.apply @t264 @t57 @t13)) (not (tptp.apply @t264 @t56 @t13)) @t58))) % 280.19/280.51 (define @t267 () (not @t266)) % 280.19/280.51 (define @t268 () (tptp.compose_function @t239 (tptp.compose_function @t157 @t240 @t238 @t158 @t154) @t238 @t154 @t238)) % 280.19/280.51 (define @t269 () (not (tptp.member @t13 @t238))) % 280.19/280.51 (define @t270 () (not (tptp.member @t2 @t154))) % 280.19/280.51 (define @t271 () (forall @t6 (or @t270 (not (forall @t16 (or @t269 (not (tptp.apply @t239 @t2 @t13)))))))) % 280.19/280.51 (define @t272 () (not @t271)) % 280.19/280.51 (define @t273 () (not (tptp.member @t2 @t158))) % 280.19/280.51 (define @t274 () (not (tptp.member @t2 @t238))) % 280.19/280.51 (define @t275 () (forall @t6 (or @t274 (not (forall @t16 (or @t265 (not (tptp.apply @t240 @t2 @t13)))))))) % 280.19/280.51 (define @t276 () (not @t275)) % 280.19/280.51 (define @t277 () (or @t276 (not (forall @t28 (or @t274 (not (tptp.member @t18 @t158)) (not (tptp.member @t17 @t158)) (not (tptp.apply @t240 @t2 @t18)) (not (tptp.apply @t240 @t2 @t17)) @t19))) (not (forall @t6 (or @t273 (not (forall @t16 (or @t244 (not (tptp.apply @t157 @t2 @t13)))))))) (not (forall @t28 (or @t273 (not (tptp.member @t18 @t154)) (not (tptp.member @t17 @t154)) (not (tptp.apply @t157 @t2 @t18)) (not (tptp.apply @t157 @t2 @t17)) @t19))) @t272 (not (forall @t28 (or @t270 (not (tptp.member @t18 @t238)) (not (tptp.member @t17 @t238)) (not (tptp.apply @t239 @t2 @t18)) (not (tptp.apply @t239 @t2 @t17)) @t19))) (not (forall @t66 (or (not (tptp.member @t57 @t238)) (not (tptp.member @t56 @t238)) @t269 (not (tptp.apply @t268 @t57 @t13)) (not (tptp.apply @t268 @t56 @t13)) @t58))) @t267 @t262 @t261)) % 280.19/280.51 (define @t278 () (@list true)) % 280.19/280.51 (define @t279 () (@list @t277)) % 280.19/280.51 (define @t280 () (forall @t74 (or @t243 (not (tptp.apply @t242 @t11 @t155))))) % 280.19/280.51 (define @t281 () (not @t280)) % 280.19/280.51 (define @t282 () (or @t161 @t281)) % 280.19/280.51 (define @t283 () (@quantifiers_skolemize @t280 0)) % 280.19/280.51 (define @t284 () (tptp.apply @t242 @t283 @t155)) % 280.19/280.51 (define @t285 () (not @t284)) % 280.19/280.51 (define @t286 () (tptp.member @t283 @t154)) % 280.19/280.51 (define @t287 () (not @t286)) % 280.19/280.51 (define @t288 () (or @t287 @t285)) % 280.19/280.51 (define @t289 () (not @t288)) % 280.19/280.51 (define @t290 () (not @t43)) % 280.19/280.51 (define @t291 () (or @t120 @t148 @t290)) % 280.19/280.51 (define @t292 () (not (forall @t16 @t291))) % 280.19/280.51 (define @t293 () (= @t51 @t292)) % 280.19/280.51 (define @t294 () (not @t48)) % 280.19/280.51 (define @t295 () (forall @t16 (not @t44))) % 280.19/280.51 (define @t296 () (not @t295)) % 280.19/280.51 (define @t297 () (forall @t16 (or @t265 (not (tptp.apply @t241 @t283 @t13)) (not (tptp.apply @t157 @t13 @t155))))) % 280.19/280.51 (define @t298 () (not @t297)) % 280.19/280.51 (define @t299 () (= @t284 @t298)) % 280.19/280.51 (define @t300 () (or @t287 @t161 @t299)) % 280.19/280.51 (define @t301 () (@quantifiers_skolemize @t297 0)) % 280.19/280.51 (define @t302 () (tptp.apply @t157 @t301 @t155)) % 280.19/280.51 (define @t303 () (not @t302)) % 280.19/280.51 (define @t304 () (tptp.member @t301 @t158)) % 280.19/280.51 (define @t305 () (not @t304)) % 280.19/280.51 (define @t306 () (or @t305 (not (tptp.apply @t241 @t283 @t301)) @t303)) % 280.19/280.51 (define @t307 () (not @t306)) % 280.19/280.51 (define @t308 () (or @t305 @t303)) % 280.19/280.51 (define @t309 () (@list true false)) % 280.19/280.51 (define @t310 () (@list @t260)) % 280.19/280.51 (define @t311 () (forall @t16 (or @t269 (not (tptp.apply @t239 @t249 @t13))))) % 280.19/280.51 (define @t312 () (@quantifiers_skolemize @t311 0)) % 280.19/280.51 (define @t313 () (@list @t312)) % 280.19/280.51 (define @t314 () (@list @t249)) % 280.19/280.51 (define @t315 () (not @t311)) % 280.19/280.51 (define @t316 () (or @t255 @t315)) % 280.19/280.51 (define @t317 () (@list false false)) % 280.19/280.51 (define @t318 () (tptp.apply @t239 @t249 @t312)) % 280.19/280.51 (define @t319 () (not @t318)) % 280.19/280.51 (define @t320 () (tptp.member @t312 @t238)) % 280.19/280.51 (define @t321 () (not @t320)) % 280.19/280.51 (define @t322 () (or @t321 @t319)) % 280.19/280.51 (define @t323 () (not @t322)) % 280.19/280.51 (define @t324 () (@list @t322)) % 280.19/280.51 (define @t325 () (forall @t16 (or @t265 (not (tptp.apply @t240 @t312 @t13))))) % 280.19/280.51 (define @t326 () (not @t325)) % 280.19/280.51 (define @t327 () (or @t321 @t326)) % 280.19/280.51 (define @t328 () (@quantifiers_skolemize @t325 0)) % 280.19/280.51 (define @t329 () (tptp.apply @t240 @t312 @t328)) % 280.19/280.51 (define @t330 () (not @t329)) % 280.19/280.51 (define @t331 () (tptp.member @t328 @t158)) % 280.19/280.51 (define @t332 () (not @t331)) % 280.19/280.51 (define @t333 () (or @t332 @t330)) % 280.19/280.51 (define @t334 () (not @t333)) % 280.19/280.51 (define @t335 () (@list @t333)) % 280.19/280.51 (define @t336 () (not (tptp.apply @t240 @t13 @t328))) % 280.19/280.51 (define @t337 () (forall @t16 (or @t269 (not (tptp.apply @t263 @t247 @t13)) @t336))) % 280.19/280.51 (define @t338 () (not @t337)) % 280.19/280.51 (define @t339 () (tptp.apply @t264 @t247 @t328)) % 280.19/280.51 (define @t340 () (= @t339 @t338)) % 280.19/280.51 (define @t341 () (or @t259 @t332 @t340)) % 280.19/280.51 (define @t342 () (@list false false false)) % 280.19/280.51 (define @t343 () (not (tptp.apply @t239 @t13 @t312))) % 280.19/280.51 (define @t344 () (forall @t16 (or @t244 (not (tptp.apply @t157 @t247 @t13)) @t343))) % 280.19/280.51 (define @t345 () (not @t344)) % 280.19/280.51 (define @t346 () (tptp.apply @t263 @t247 @t312)) % 280.19/280.51 (define @t347 () (= @t346 @t345)) % 280.19/280.51 (define @t348 () (or @t259 @t321 @t347)) % 280.19/280.51 (define @t349 () (or @t255 @t253 @t319)) % 280.19/280.51 (define @t350 () (not @t349)) % 280.19/280.51 (define @t351 () (not @t347)) % 280.19/280.51 (define @t352 () (not @t346)) % 280.19/280.51 (define @t353 () (or @t321 @t352 @t330)) % 280.19/280.51 (define @t354 () (not @t353)) % 280.19/280.51 (define @t355 () (not @t340)) % 280.19/280.51 (define @t356 () (forall @t16 (or @t269 (not (tptp.apply @t263 @t246 @t13)) @t336))) % 280.19/280.51 (define @t357 () (not @t356)) % 280.19/280.51 (define @t358 () (tptp.apply @t264 @t246 @t328)) % 280.19/280.51 (define @t359 () (= @t358 @t357)) % 280.19/280.51 (define @t360 () (or @t257 @t332 @t359)) % 280.19/280.51 (define @t361 () (forall @t16 (or @t244 (not (tptp.apply @t157 @t246 @t13)) @t343))) % 280.19/280.51 (define @t362 () (not @t361)) % 280.19/280.51 (define @t363 () (tptp.apply @t263 @t246 @t312)) % 280.19/280.51 (define @t364 () (= @t363 @t362)) % 280.19/280.51 (define @t365 () (or @t257 @t321 @t364)) % 280.19/280.51 (define @t366 () (or @t255 @t251 @t319)) % 280.19/280.51 (define @t367 () (not @t366)) % 280.19/280.51 (define @t368 () (not @t364)) % 280.19/280.51 (define @t369 () (not @t363)) % 280.19/280.51 (define @t370 () (or @t321 @t369 @t330)) % 280.19/280.51 (define @t371 () (not @t370)) % 280.19/280.51 (define @t372 () (not @t359)) % 280.19/280.51 (define @t373 () (not @t358)) % 280.19/280.51 (define @t374 () (not @t339)) % 280.19/280.51 (define @t375 () (or @t259 @t257 @t332 @t374 @t373 @t248)) % 280.19/280.51 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 280.19/280.51 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 280.19/280.51 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 280.19/280.51 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 280.19/280.51 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 280.19/280.51 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 280.19/280.51 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 280.19/280.51 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 280.19/280.51 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 280.19/280.51 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 280.19/280.51 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 280.19/280.51 (assume @p12 @t40) % 280.19/280.51 (assume @p13 (forall (@list @t46 @t42 @t20 @t4 @t1 @t47) (= (tptp.compose_predicate @t46 @t42 @t20 @t4 @t1 @t47) (forall (@list @t2 @t41) (=> @t49 (= (tptp.apply @t46 @t2 @t41) @t45)))))) % 280.19/280.51 (assume @p14 @t54) % 280.19/280.51 (assume @p15 (forall (@list @t20 @t42 @t4 @t1) (= (tptp.equal_maps @t20 @t42 @t4 @t1) (forall @t28 (=> @t27 (=> (and @t22 @t55) @t19)))))) % 280.19/280.51 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 280.19/280.51 (assume @p17 @t70) % 280.19/280.51 (assume @p18 @t80) % 280.19/280.51 (assume @p19 @t84) % 280.19/280.51 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t85 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 280.19/280.51 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t85 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 280.19/280.51 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t86))) % 280.19/280.51 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t86)))) % 280.19/280.51 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 280.19/280.51 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 280.19/280.51 (assume @p26 (forall @t95 (= (tptp.increasing @t20 @t4 @t91 @t1 @t87) (forall @t94 (=> @t93 @t88))))) % 280.19/280.51 (assume @p27 (forall @t95 (= (tptp.decreasing @t20 @t4 @t91 @t1 @t87) (forall @t94 (=> @t93 (tptp.apply @t87 @t17 @t18)))))) % 280.19/280.51 (assume @p28 (forall @t95 (= (tptp.isomorphism @t20 @t4 @t91 @t1 @t87) (and @t37 @t82 (forall @t94 (=> (and @t64 @t26 @t63 @t25 @t90 @t89) (= @t92 @t88))))))) % 280.19/280.51 (assume @p29 @t108) % 280.19/280.51 (assume @p30 true) % 280.19/280.51 (step @p31 :rule bool-double-not-elim :args (@t156)) % 280.19/280.51 (step @p32 :rule refl :args (@t162)) % 280.19/280.51 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t162 (not @t161)))) % 280.19/280.51 (step @p34 :rule cnf_or_neg :args (@t162 0)) % 280.19/280.51 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 280.19/280.51 (step @p36 :rule reordering :premises (@p35) :args ((or @t156 @t162))) % 280.19/280.51 (step @p37 :rule bool-double-not-elim :args (@t159)) % 280.19/280.51 (step @p38 :rule nary_cong :premises (@p32 @p37) :args ((or @t162 (not @t160)))) % 280.19/280.51 (step @p39 :rule cnf_or_neg :args (@t162 1)) % 280.19/280.51 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 280.19/280.51 (step @p41 :rule reordering :premises (@p40) :args ((or @t159 @t162))) % 280.19/280.51 (step @p42 :rule quant-merge-prenex :args ((= (forall @t106 @t164) @t153))) % 280.19/280.51 (step @p43 :rule alpha_equiv :args (@t165 (@list @t109) (@list @t13))) % 280.19/280.51 (step @p44 :rule quant-unused-vars :args ((= @t166 @t165))) % 280.19/280.51 (step @p45 :rule trans :premises (@p44 @p43)) % 280.19/280.51 (step @p46 :rule alpha_equiv :args (@t167 (@list @t113 @t112 @t114) (@list @t57 @t56 @t13))) % 280.19/280.51 (step @p47 :rule quant-unused-vars :args ((= @t168 @t167))) % 280.19/280.51 (step @p48 :rule trans :premises (@p47 @p46)) % 280.19/280.51 (step @p49 :rule nary_cong :premises (@p48 @p45) :args (@t169)) % 280.19/280.51 (step @p50 :rule quant-miniscope-and :args ((= @t170 @t169))) % 280.19/280.51 (step @p51 :rule trans :premises (@p50 @p49)) % 280.19/280.51 (step @p52 :rule refl :args (@t119)) % 280.19/280.51 (step @p53 :rule refl :args (@t124)) % 280.19/280.51 (step @p54 :rule refl :args (@t129)) % 280.19/280.51 (step @p55 :rule refl :args (@t132)) % 280.19/280.51 (step @p56 :rule refl :args (@t134)) % 280.19/280.51 (step @p57 :rule refl :args (@t137)) % 280.19/280.51 (step @p58 :rule refl :args (@t139)) % 280.19/280.51 (step @p59 :rule refl :args (@t147)) % 280.19/280.51 (step @p60 :rule refl :args (@t151)) % 280.19/280.51 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51) :args (@t171)) % 280.19/280.51 (step @p62 :rule quant-miniscope-or :args ((= @t164 @t171))) % 280.19/280.51 (step @p63 :rule trans :premises (@p62 @p61)) % 280.19/280.51 (step @p64 :rule symm :premises (@p63)) % 280.19/280.51 (step @p65 :rule cong :premises (@p64) :args ((forall @t106 @t173))) % 280.19/280.51 (step @p66 :rule trans :premises (@p65 @p42)) % 280.19/280.51 (step @p67 :rule aci_norm :args ((= (or (or @t151 @t147) (or @t139 @t137) (or @t134 @t132) @t129 @t124 @t119 @t172) @t173))) % 280.19/280.51 (step @p68 :rule refl :args (@t172)) % 280.19/280.51 (step @p69 :rule bool-and-de-morgan :args (@t133 @t131 true)) % 280.19/280.51 (step @p70 :rule bool-and-de-morgan :args (@t138 @t136 true)) % 280.19/280.51 (step @p71 :rule bool-and-de-morgan :args (@t150 @t146 true)) % 280.19/280.51 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p54 @p53 @p52 @p68) :args (@t177)) % 280.19/280.51 (step @p73 :rule trans :premises (@p72 @p67)) % 280.19/280.51 (step @p74 :rule cong :premises (@p73) :args ((forall @t106 @t177))) % 280.19/280.51 (step @p75 :rule trans :premises (@p74 @p66)) % 280.19/280.51 (step @p76 :rule beta-reduce :args ((= @t183 @t172))) % 280.19/280.51 (step @p77 :rule beta-reduce :args ((= @t188 @t118))) % 280.19/280.51 (step @p78 :rule cong :premises (@p77) :args (@t189)) % 280.19/280.51 (step @p79 :rule beta-reduce :args ((= @t194 @t123))) % 280.19/280.51 (step @p80 :rule cong :premises (@p79) :args (@t195)) % 280.19/280.51 (step @p81 :rule beta-reduce :args ((= @t196 @t128))) % 280.19/280.51 (step @p82 :rule cong :premises (@p81) :args (@t197)) % 280.19/280.51 (step @p83 :rule beta-reduce :args ((= @t203 @t174))) % 280.19/280.51 (step @p84 :rule cong :premises (@p83) :args (@t204)) % 280.19/280.51 (step @p85 :rule beta-reduce :args ((= @t205 @t175))) % 280.19/280.51 (step @p86 :rule cong :premises (@p85) :args (@t206)) % 280.19/280.51 (step @p87 :rule beta-reduce :args ((= @t207 @t176))) % 280.19/280.51 (step @p88 :rule cong :premises (@p87) :args (@t208)) % 280.19/280.51 (step @p89 :rule nary_cong :premises (@p88 @p86 @p84 @p82 @p80 @p78 @p76) :args (@t209)) % 280.19/280.51 (step @p90 :rule cong :premises (@p89) :args (@t210)) % 280.19/280.51 (step @p91 :rule trans :premises (@p90 @p75)) % 280.19/280.51 (step @p92 :rule cong :premises (@p91) :args ((not @t210))) % 280.19/280.51 (step @p93 :rule refl :args (@t47)) % 280.19/280.51 (step @p94 :rule refl :args (@t1)) % 280.19/280.51 (step @p95 :rule refl :args (@t42)) % 280.19/280.51 ; WARNING: add trust step for TRUST % 280.19/280.51 ; trust TRUST SUBS_EQ % 280.19/280.51 (step @p96 :rule trust :premises () :args ((= (forall @t39 (= @t82 (and @t216 @t212))) (= tptp.one_to_one @t182)))) % 280.19/280.51 (step @p97 :rule beta-reduce :args ((= @t217 @t212))) % 280.19/280.51 (step @p98 :rule beta-reduce :args ((= @t218 @t216))) % 280.19/280.51 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t219)) % 280.19/280.51 (step @p100 :rule refl :args (@t82)) % 280.19/280.51 (step @p101 :rule cong :premises (@p100 @p99) :args (@t220)) % 280.19/280.51 (step @p102 :rule cong :premises (@p101) :args ((forall @t39 @t220))) % 280.19/280.51 (step @p103 :rule refl :args (@t4)) % 280.19/280.51 (step @p104 :rule refl :args (@t20)) % 280.19/280.51 ; trust TRUST SUBS_EQ % 280.19/280.51 (step @p105 :rule trust :premises () :args ((= (forall @t39 (= @t78 @t212)) (= tptp.surjective @t187)))) % 280.19/280.51 (step @p106 :rule bool-impl-elim :args (@t31 @t211)) % 280.19/280.51 (step @p107 :rule cong :premises (@p106) :args ((forall @t16 (=> @t31 @t211)))) % 280.19/280.51 (step @p108 :rule bool-and-de-morgan :args (@t72 @t71 true)) % 280.19/280.51 (step @p109 :rule cong :premises (@p108) :args (@t221)) % 280.19/280.51 (step @p110 :rule cong :premises (@p109) :args (@t222)) % 280.19/280.51 (step @p111 :rule exists-elim :args ((= @t75 @t222))) % 280.19/280.51 (step @p112 :rule trans :premises (@p111 @p110)) % 280.19/280.51 (step @p113 :rule refl :args (@t31)) % 280.19/280.51 (step @p114 :rule cong :premises (@p113 @p112) :args (@t76)) % 280.19/280.51 (step @p115 :rule cong :premises (@p114) :args (@t77)) % 280.19/280.51 (step @p116 :rule trans :premises (@p115 @p107)) % 280.19/280.51 (step @p117 :rule refl :args (@t78)) % 280.19/280.51 (step @p118 :rule cong :premises (@p117 @p116) :args (@t79)) % 280.19/280.51 (step @p119 :rule cong :premises (@p118) :args (@t80)) % 280.19/280.51 (step @p120 :rule eq_resolve :premises (@p18 @p119)) % 280.19/280.51 (step @p121 :rule eq_resolve :premises (@p120 @p105)) % 280.19/280.51 (step @p122 :rule ho_cong :premises (@p121 @p104 @p103 @p94)) % 280.19/280.51 ; trust TRUST SUBS_EQ % 280.19/280.51 (step @p123 :rule trust :premises () :args ((= (forall @t39 (= @t68 @t216)) (= tptp.injective @t193)))) % 280.19/280.51 (step @p124 :rule aci_norm :args ((= (or @t224 @t223) @t215))) % 280.19/280.51 (step @p125 :rule aci_norm :args ((= (or (or @t214 @t213) @t58) @t223))) % 280.19/280.51 (step @p126 :rule refl :args (@t58)) % 280.19/280.51 (step @p127 :rule bool-and-de-morgan :args (@t60 @t59 true)) % 280.19/280.51 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or (not @t61) @t58))) % 280.19/280.51 (step @p129 :rule trans :premises (@p128 @p125)) % 280.19/280.51 (step @p130 :rule bool-impl-elim :args (@t61 @t58)) % 280.19/280.51 (step @p131 :rule trans :premises (@p130 @p129)) % 280.19/280.51 (step @p132 :rule aci_norm :args ((= (or @t127 (or @t126 @t120)) @t224))) % 280.19/280.51 (step @p133 :rule bool-and-de-morgan :args (@t63 @t31 true)) % 280.19/280.51 (step @p134 :rule refl :args (@t127)) % 280.19/280.51 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t127 (not (and @t63 @t31))))) % 280.19/280.51 (step @p136 :rule bool-and-de-morgan :args (@t64 @t63 (and @t31))) % 280.19/280.51 (step @p137 :rule trans :premises (@p136 @p135)) % 280.19/280.51 (step @p138 :rule trans :premises (@p137 @p132)) % 280.19/280.51 (step @p139 :rule nary_cong :premises (@p138 @p131) :args ((or (not @t65) @t62))) % 280.19/280.51 (step @p140 :rule trans :premises (@p139 @p124)) % 280.19/280.51 (step @p141 :rule bool-impl-elim :args (@t65 @t62)) % 280.19/280.51 (step @p142 :rule trans :premises (@p141 @p140)) % 280.19/280.51 (step @p143 :rule cong :premises (@p142) :args (@t67)) % 280.19/280.51 (step @p144 :rule refl :args (@t68)) % 280.19/280.51 (step @p145 :rule cong :premises (@p144 @p143) :args (@t69)) % 280.19/280.51 (step @p146 :rule cong :premises (@p145) :args (@t70)) % 280.19/280.51 (step @p147 :rule eq_resolve :premises (@p17 @p146)) % 280.19/280.51 (step @p148 :rule eq_resolve :premises (@p147 @p123)) % 280.19/280.51 (step @p149 :rule ho_cong :premises (@p148 @p104 @p103 @p94)) % 280.19/280.51 (step @p150 :rule nary_cong :premises (@p149 @p122) :args (@t81)) % 280.19/280.51 (step @p151 :rule cong :premises (@p100 @p150) :args (@t83)) % 280.19/280.51 (step @p152 :rule cong :premises (@p151) :args (@t84)) % 280.19/280.51 (step @p153 :rule trans :premises (@p152 @p102)) % 280.19/280.51 (step @p154 :rule eq_resolve :premises (@p19 @p153)) % 280.19/280.51 (step @p155 :rule eq_resolve :premises (@p154 @p96)) % 280.19/280.51 (step @p156 :rule ho_cong :premises (@p155 @p95 @p94 @p93)) % 280.19/280.51 (step @p157 :rule refl :args (@t97)) % 280.19/280.51 (step @p158 :rule ho_cong :premises (@p121 @p157 @p93 @p93)) % 280.19/280.51 (step @p159 :rule cong :premises (@p158) :args (@t225)) % 280.19/280.51 (step @p160 :rule refl :args (@t99)) % 280.19/280.51 (step @p161 :rule ho_cong :premises (@p148 @p160 @p94 @p94)) % 280.19/280.51 (step @p162 :rule cong :premises (@p161) :args (@t226)) % 280.19/280.51 (step @p163 :rule refl :args (@t101)) % 280.19/280.51 (step @p164 :rule ho_cong :premises (@p148 @p163 @p103 @p103)) % 280.19/280.51 (step @p165 :rule cong :premises (@p164) :args (@t227)) % 280.19/280.51 (step @p166 :rule refl :args (@t46)) % 280.19/280.51 ; trust TRUST SUBS_EQ % 280.19/280.51 (step @p167 :rule trust :premises () :args ((= (forall @t39 (= @t37 @t176)) (= tptp.maps @t202)))) % 280.19/280.51 (step @p168 :rule aci_norm :args ((= (or @t229 @t228) @t145))) % 280.19/280.51 (step @p169 :rule aci_norm :args ((= (or (or @t141 @t140) @t19) @t228))) % 280.19/280.51 (step @p170 :rule refl :args (@t19)) % 280.19/280.51 (step @p171 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 280.19/280.51 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or (not @t23) @t19))) % 280.19/280.51 (step @p173 :rule trans :premises (@p172 @p169)) % 280.19/280.51 (step @p174 :rule bool-impl-elim :args (@t23 @t19)) % 280.19/280.51 (step @p175 :rule trans :premises (@p174 @p173)) % 280.19/280.51 (step @p176 :rule aci_norm :args ((= (or @t144 (or @t143 @t142)) @t229))) % 280.19/280.51 (step @p177 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 280.19/280.51 (step @p178 :rule refl :args (@t144)) % 280.19/280.51 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t144 (not (and @t26 @t25))))) % 280.19/280.51 (step @p180 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 280.19/280.51 (step @p181 :rule trans :premises (@p180 @p179)) % 280.19/280.51 (step @p182 :rule trans :premises (@p181 @p176)) % 280.19/280.51 (step @p183 :rule nary_cong :premises (@p182 @p175) :args ((or (not @t27) @t24))) % 280.19/280.51 (step @p184 :rule trans :premises (@p183 @p168)) % 280.19/280.51 (step @p185 :rule bool-impl-elim :args (@t27 @t24)) % 280.19/280.51 (step @p186 :rule trans :premises (@p185 @p184)) % 280.19/280.51 (step @p187 :rule cong :premises (@p186) :args (@t29)) % 280.19/280.51 (step @p188 :rule bool-impl-elim :args (@t5 @t149)) % 280.19/280.51 (step @p189 :rule cong :premises (@p188) :args ((forall @t6 (=> @t5 @t149)))) % 280.19/280.51 (step @p190 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 280.19/280.51 (step @p191 :rule cong :premises (@p190) :args (@t230)) % 280.19/280.51 (step @p192 :rule cong :premises (@p191) :args (@t231)) % 280.19/280.51 (step @p193 :rule exists-elim :args ((= @t33 @t231))) % 280.19/280.51 (step @p194 :rule trans :premises (@p193 @p192)) % 280.19/280.51 (step @p195 :rule refl :args (@t5)) % 280.19/280.51 (step @p196 :rule cong :premises (@p195 @p194) :args (@t34)) % 280.19/280.51 (step @p197 :rule cong :premises (@p196) :args (@t35)) % 280.19/280.51 (step @p198 :rule trans :premises (@p197 @p189)) % 280.19/280.51 (step @p199 :rule nary_cong :premises (@p198 @p187) :args (@t36)) % 280.19/280.51 (step @p200 :rule refl :args (@t37)) % 280.19/280.51 (step @p201 :rule cong :premises (@p200 @p199) :args (@t38)) % 280.19/280.51 (step @p202 :rule cong :premises (@p201) :args (@t40)) % 280.19/280.51 (step @p203 :rule eq_resolve :premises (@p12 @p202)) % 280.19/280.51 (step @p204 :rule eq_resolve :premises (@p203 @p167)) % 280.19/280.51 (step @p205 :rule ho_cong :premises (@p204 @p166 @p93 @p103)) % 280.19/280.51 (step @p206 :rule cong :premises (@p205) :args (@t232)) % 280.19/280.51 (step @p207 :rule ho_cong :premises (@p204 @p95 @p94 @p93)) % 280.19/280.51 (step @p208 :rule cong :premises (@p207) :args (@t233)) % 280.19/280.51 (step @p209 :rule ho_cong :premises (@p204 @p104 @p103 @p94)) % 280.19/280.51 (step @p210 :rule cong :premises (@p209) :args (@t234)) % 280.19/280.51 (step @p211 :rule nary_cong :premises (@p210 @p208 @p206 @p165 @p162 @p159 @p156) :args (@t235)) % 280.19/280.51 (step @p212 :rule cong :premises (@p211) :args (@t236)) % 280.19/280.51 (step @p213 :rule cong :premises (@p212) :args ((not @t236))) % 280.19/280.51 (step @p214 :rule trans :premises (@p213 @p92)) % 280.19/280.51 (step @p215 :rule aci_norm :args ((= (or @t237 @t96) @t235))) % 280.19/280.51 (step @p216 :rule refl :args (@t96)) % 280.19/280.51 (step @p217 :rule aci_norm :args ((= (or @t234 (or @t233 (or @t232 (or @t227 (or @t226 @t225))))) @t237))) % 280.19/280.51 (step @p218 :rule bool-and-de-morgan :args (@t100 @t98 true)) % 280.19/280.51 (step @p219 :rule refl :args (@t227)) % 280.19/280.51 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t227 (not (and @t100 @t98))))) % 280.19/280.51 (step @p221 :rule bool-and-de-morgan :args (@t102 @t100 (and @t98))) % 280.19/280.51 (step @p222 :rule trans :premises (@p221 @p220)) % 280.19/280.51 (step @p223 :rule refl :args (@t232)) % 280.19/280.51 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t232 (not (and @t102 @t100 @t98))))) % 280.19/280.51 (step @p225 :rule bool-and-de-morgan :args (@t103 @t102 (and @t100 @t98))) % 280.19/280.51 (step @p226 :rule trans :premises (@p225 @p224)) % 280.19/280.51 (step @p227 :rule refl :args (@t233)) % 280.19/280.51 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t233 (not (and @t103 @t102 @t100 @t98))))) % 280.19/280.51 (step @p229 :rule bool-and-de-morgan :args (@t104 @t103 (and @t102 @t100 @t98))) % 280.19/280.51 (step @p230 :rule trans :premises (@p229 @p228)) % 280.19/280.51 (step @p231 :rule refl :args (@t234)) % 280.19/280.51 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t234 (not (and @t104 @t103 @t102 @t100 @t98))))) % 280.19/280.51 (step @p233 :rule bool-and-de-morgan :args (@t37 @t104 (and @t103 @t102 @t100 @t98))) % 280.19/280.51 (step @p234 :rule trans :premises (@p233 @p232)) % 280.19/280.51 (step @p235 :rule trans :premises (@p234 @p217)) % 280.19/280.51 (step @p236 :rule nary_cong :premises (@p235 @p216) :args ((or (not @t105) @t96))) % 280.19/280.51 (step @p237 :rule trans :premises (@p236 @p215)) % 280.19/280.51 (step @p238 :rule bool-impl-elim :args (@t105 @t96)) % 280.19/280.51 (step @p239 :rule trans :premises (@p238 @p237)) % 280.19/280.51 (step @p240 :rule cong :premises (@p239) :args (@t107)) % 280.19/280.51 (step @p241 :rule cong :premises (@p240) :args (@t108)) % 280.19/280.51 (step @p242 :rule trans :premises (@p241 @p214)) % 280.19/280.51 (step @p243 :rule eq_resolve :premises (@p29 @p242)) % 280.19/280.51 (step @p244 :rule skolemize :premises (@p243)) % 280.19/280.51 (step @p245 :rule bool-double-not-elim :args (@t245)) % 280.19/280.51 (step @p246 :rule refl :args (@t277)) % 280.19/280.51 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or @t277 (not @t262)))) % 280.19/280.51 (step @p248 :rule cnf_or_neg :args (@t277 8)) % 280.19/280.51 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 280.19/280.51 (step @p250 :rule reordering :premises (@p249) :args ((or @t245 @t277))) % 280.19/280.51 (step @p251 :rule chain_m_resolution :premises (@p250 @p244) :args (@t245 @t278 @t279)) % 280.19/280.51 (step @p252 :rule instantiate :premises (@p251) :args ((@list @t155))) % 280.19/280.51 (step @p253 :rule cnf_or_pos :args (@t282)) % 280.19/280.51 (step @p254 :rule reordering :premises (@p253) 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@p266)) % 280.19/280.51 (step @p269 :rule reordering :premises (@p268) :args ((or @t286 @t288))) % 280.19/280.51 (step @p270 :rule bool-double-not-elim :args (@t284)) % 280.19/280.51 (step @p271 :rule nary_cong :premises (@p265 @p270) :args ((or @t288 (not @t285)))) % 280.19/280.51 (step @p272 :rule cnf_or_neg :args (@t288 1)) % 280.19/280.51 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 280.19/280.51 (step @p274 :rule reordering :premises (@p273) :args ((or @t284 @t288))) % 280.19/280.51 (step @p275 :rule aci_norm :args ((= (or (or @t144 @t294) @t293) (or @t144 @t294 @t293)))) % 280.19/280.51 (step @p276 :rule refl :args (@t293)) % 280.19/280.51 (step @p277 :rule bool-and-de-morgan :args (@t5 @t48 true)) % 280.19/280.51 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or (not @t49) @t293))) % 280.19/280.51 (step @p279 :rule trans :premises (@p278 @p275)) % 280.19/280.51 (step @p280 :rule bool-impl-elim :args (@t49 @t293)) % 280.19/280.51 (step @p281 :rule trans 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:args (@t308)) % 280.19/280.52 (step @p336 :rule implies_elim :premises (@p334)) % 280.19/280.52 (step @p337 :rule chain_m_resolution :premises (@p336 @p331 @p329 @p324 @p318 @p309 @p307 @p305 @p274 @p269 @p263 @p254 @p252 @p41 @p36) :args (@t162 (@list true false false true true false false false false true true false false false) (@list @t308 @t302 @t304 @t306 @t297 @t299 @t300 @t284 @t286 @t288 @t280 @t282 @t159 @t156))) % 280.19/280.52 (step @p338 :rule cnf_or_neg :args (@t277 9)) % 280.19/280.52 (step @p339 :rule chain_m_resolution :premises (@p338 @p244) :args ((not @t261) @t278 @t279)) % 280.19/280.52 (step @p340 :rule cnf_and_neg :args (@t261)) % 280.19/280.52 (step @p341 :rule chain_m_resolution :premises (@p340 @p339 @p337) :args ((not @t260) @t309 (@list @t261 @t162))) % 280.19/280.52 (step @p342 :rule bool-double-not-elim :args (@t258)) % 280.19/280.52 (step @p343 :rule refl :args (@t260)) % 280.19/280.52 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t260 (not @t259)))) % 280.19/280.52 (step @p345 :rule cnf_or_neg :args (@t260 0)) % 280.19/280.52 (step @p346 :rule eq_resolve :premises (@p345 @p344)) % 280.19/280.52 (step @p347 :rule reordering :premises (@p346) :args ((or @t258 @t260))) % 280.19/280.52 (step @p348 :rule chain_m_resolution :premises (@p347 @p341) :args (@t258 @t278 @t310)) % 280.19/280.52 (step @p349 :rule bool-double-not-elim :args (@t256)) % 280.19/280.52 (step @p350 :rule nary_cong :premises (@p343 @p349) :args ((or @t260 (not @t257)))) % 280.19/280.52 (step @p351 :rule cnf_or_neg :args (@t260 1)) % 280.19/280.52 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 280.19/280.52 (step @p353 :rule reordering :premises (@p352) :args ((or @t256 @t260))) % 280.19/280.52 (step @p354 :rule chain_m_resolution :premises (@p353 @p341) :args (@t256 @t278 @t310)) % 280.19/280.52 (step @p355 :rule bool-double-not-elim :args (@t275)) % 280.19/280.52 (step @p356 :rule nary_cong :premises (@p246 @p355) :args ((or @t277 (not @t276)))) % 280.19/280.52 (step @p357 :rule cnf_or_neg :args (@t277 0)) % 280.19/280.52 (step @p358 :rule eq_resolve :premises (@p357 @p356)) % 280.19/280.52 (step @p359 :rule reordering :premises (@p358) :args ((or @t275 @t277))) % 280.19/280.52 (step @p360 :rule chain_m_resolution :premises (@p359 @p244) :args (@t275 @t278 @t279)) % 280.19/280.52 (step @p361 :rule instantiate :premises (@p360) :args (@t313)) % 280.19/280.52 (step @p362 :rule bool-double-not-elim :args (@t271)) % 280.19/280.52 (step @p363 :rule nary_cong :premises (@p246 @p362) :args ((or @t277 (not @t272)))) % 280.19/280.52 (step @p364 :rule cnf_or_neg :args (@t277 4)) % 280.19/280.52 (step @p365 :rule eq_resolve :premises (@p364 @p363)) % 280.19/280.52 (step @p366 :rule reordering :premises (@p365) :args ((or @t271 @t277))) % 280.19/280.52 (step @p367 :rule chain_m_resolution :premises (@p366 @p244) :args (@t271 @t278 @t279)) % 280.19/280.52 (step @p368 :rule instantiate :premises (@p367) :args (@t314)) % 280.19/280.52 (step @p369 :rule bool-double-not-elim :args (@t254)) % 280.19/280.52 (step @p370 :rule nary_cong :premises (@p343 @p369) :args ((or @t260 (not @t255)))) % 280.19/280.52 (step @p371 :rule cnf_or_neg :args (@t260 2)) % 280.19/280.52 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 280.19/280.52 (step @p373 :rule reordering :premises (@p372) :args ((or @t254 @t260))) % 280.19/280.52 (step @p374 :rule chain_m_resolution :premises (@p373 @p341) :args (@t254 @t278 @t310)) % 280.19/280.52 (step @p375 :rule cnf_or_pos :args (@t316)) % 280.19/280.52 (step @p376 :rule reordering :premises (@p375) :args ((or @t255 @t315 (not @t316)))) % 280.19/280.52 (step @p377 :rule chain_m_resolution :premises (@p376 @p374 @p368) :args (@t315 @t317 (@list @t254 @t316))) % 280.19/280.52 (step @p378 :rule refl :args (@t323)) % 280.19/280.52 (step @p379 :rule bool-double-not-elim :args (@t311)) % 280.19/280.52 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((or (not @t315) @t323))) % 280.19/280.52 (assume-push @p541 @t315) % 280.19/280.52 (step @p382 :rule skolemize :premises (@p541)) % 280.19/280.52 (step-pop @p542 :rule scope :premises (@p382)) % 280.19/280.52 (step @p383 :rule process_scope :premises (@p542) :args (@t323)) % 280.19/280.52 (step @p385 :rule implies_elim :premises (@p383)) % 280.19/280.52 (step @p386 :rule eq_resolve :premises (@p385 @p380)) % 280.19/280.52 (step @p387 :rule chain_m_resolution :premises (@p386 @p377) :args (@t323 @t278 (@list @t311))) % 280.19/280.52 (step @p388 :rule bool-double-not-elim :args (@t320)) % 280.19/280.52 (step @p389 :rule refl :args (@t322)) % 280.19/280.52 (step @p390 :rule nary_cong :premises (@p389 @p388) :args ((or @t322 (not @t321)))) % 280.19/280.52 (step @p391 :rule cnf_or_neg :args (@t322 0)) % 280.19/280.52 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 280.19/280.52 (step @p393 :rule reordering :premises (@p392) :args ((or @t320 @t322))) % 280.19/280.52 (step @p394 :rule 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chain_m_resolution :premises (@p406 @p397) :args (@t334 @t278 (@list @t325))) % 280.19/280.52 (step @p408 :rule bool-double-not-elim :args (@t331)) % 280.19/280.52 (step @p409 :rule refl :args (@t333)) % 280.19/280.52 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or @t333 (not @t332)))) % 280.19/280.52 (step @p411 :rule cnf_or_neg :args (@t333 0)) % 280.19/280.52 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 280.19/280.52 (step @p413 :rule reordering :premises (@p412) :args ((or @t331 @t333))) % 280.19/280.52 (step @p414 :rule chain_m_resolution :premises (@p413 @p407) :args (@t331 @t278 @t335)) % 280.19/280.52 (step @p415 :rule cnf_or_neg :args (@t260 5)) % 280.19/280.52 (step @p416 :rule chain_m_resolution :premises (@p415 @p341) :args ((not @t248) @t278 @t310)) % 280.19/280.52 (step @p417 :rule bool-double-not-elim :args (@t266)) % 280.19/280.52 (step @p418 :rule nary_cong :premises (@p246 @p417) :args ((or @t277 (not @t267)))) % 280.19/280.52 (step @p419 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280.19/280.52 (step @p430 :rule cnf_or_neg :args (@t333 1)) % 280.19/280.52 (step @p431 :rule eq_resolve :premises (@p430 @p429)) % 280.19/280.52 (step @p432 :rule reordering :premises (@p431) :args ((or @t329 @t333))) % 280.19/280.52 (step @p433 :rule chain_m_resolution :premises (@p432 @p407) :args (@t329 @t278 @t335)) % 280.19/280.52 (step @p434 :rule instantiate :premises (@p304) :args ((@list @t239 @t157 @t158 @t154 @t238 @t247 @t312))) % 280.19/280.52 (step @p435 :rule cnf_or_pos :args (@t348)) % 280.19/280.52 (step @p436 :rule reordering :premises (@p435) :args ((or @t259 @t321 @t347 (not @t348)))) % 280.19/280.52 (step @p437 :rule chain_m_resolution :premises (@p436 @p348 @p394 @p434) :args (@t347 @t342 (@list @t258 @t320 @t348))) % 280.19/280.52 (step @p438 :rule bool-double-not-elim :args (@t318)) % 280.19/280.52 (step @p439 :rule nary_cong :premises (@p389 @p438) :args ((or @t322 (not @t319)))) % 280.19/280.52 (step @p440 :rule cnf_or_neg :args (@t322 1)) % 280.19/280.52 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 280.19/280.52 (step @p442 :rule reordering :premises (@p441) :args ((or @t318 @t322))) % 280.19/280.52 (step @p443 :rule chain_m_resolution :premises (@p442 @p387) :args (@t318 @t278 @t324)) % 280.19/280.52 (step @p444 :rule bool-double-not-elim :args (@t252)) % 280.19/280.52 (step @p445 :rule nary_cong :premises (@p343 @p444) :args ((or @t260 (not @t253)))) % 280.19/280.52 (step @p446 :rule cnf_or_neg :args (@t260 3)) % 280.19/280.52 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 280.19/280.52 (step @p448 :rule reordering :premises (@p447) :args ((or @t252 @t260))) % 280.19/280.52 (step @p449 :rule chain_m_resolution :premises (@p448 @p341) :args (@t252 @t278 @t310)) % 280.19/280.52 (step @p450 :rule cnf_or_pos :args (@t349)) % 280.19/280.52 (step @p451 :rule reordering :premises (@p450) :args ((or @t255 @t253 @t319 @t350))) % 280.19/280.52 (step @p452 :rule chain_m_resolution :premises (@p451 @p374 @p449 @p443) :args (@t350 @t342 (@list @t254 @t252 @t318))) % 280.19/280.52 (assume-push @p545 @t344) % 280.19/280.52 (step @p454 :rule instantiate :premises (@p545) :args (@t314)) % 280.19/280.52 (step-pop @p546 :rule scope :premises (@p454)) % 280.19/280.52 (step @p455 :rule process_scope :premises (@p546) :args (@t349)) % 280.19/280.52 (step @p457 :rule implies_elim :premises (@p455)) % 280.19/280.52 (step @p458 :rule chain_m_resolution :premises (@p457 @p452) :args (@t345 @t278 (@list @t349))) % 280.19/280.52 (step @p459 :rule bool-double-not-elim :args (@t344)) % 280.19/280.52 (step @p460 :rule refl :args (@t346)) % 280.19/280.52 (step @p461 :rule refl :args (@t351)) % 280.19/280.52 (step @p462 :rule nary_cong :premises (@p461 @p460 @p459) :args ((or @t351 @t346 (not @t345)))) % 280.19/280.52 (step @p463 :rule cnf_equiv_pos2 :args (@t347)) % 280.19/280.52 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 280.19/280.52 (step @p465 :rule reordering :premises (@p464) :args ((or @t346 @t344 @t351))) % 280.19/280.52 (step @p466 :rule chain_m_resolution :premises (@p465 @p458 @p437) :args (@t346 @t309 (@list @t344 @t347))) % 280.19/280.52 (step @p467 :rule cnf_or_pos :args (@t353)) % 280.19/280.52 (step @p468 :rule reordering :premises (@p467) :args ((or @t321 @t352 @t330 @t354))) % 280.19/280.52 (step @p469 :rule chain_m_resolution :premises (@p468 @p394 @p466 @p433) :args (@t354 @t342 (@list @t320 @t346 @t329))) % 280.19/280.52 (assume-push @p547 @t337) % 280.19/280.52 (step @p471 :rule instantiate :premises (@p547) :args (@t313)) % 280.19/280.52 (step-pop @p548 :rule scope :premises (@p471)) % 280.19/280.52 (step @p472 :rule process_scope :premises (@p548) :args (@t353)) % 280.19/280.52 (step @p474 :rule implies_elim :premises (@p472)) % 280.19/280.52 (step @p475 :rule chain_m_resolution :premises (@p474 @p469) :args (@t338 @t278 (@list @t353))) % 280.19/280.52 (step @p476 :rule bool-double-not-elim :args (@t337)) % 280.19/280.52 (step @p477 :rule refl :args (@t339)) % 280.19/280.52 (step @p478 :rule refl :args (@t355)) % 280.19/280.52 (step @p479 :rule nary_cong :premises (@p478 @p477 @p476) :args ((or @t355 @t339 (not @t338)))) % 280.19/280.52 (step @p480 :rule cnf_equiv_pos2 :args (@t340)) % 280.19/280.52 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 280.19/280.52 (step @p482 :rule reordering :premises (@p481) :args ((or @t339 @t337 @t355))) % 280.19/280.52 (step @p483 :rule chain_m_resolution :premises (@p482 @p475 @p427) :args (@t339 @t309 (@list @t337 @t340))) % 280.19/280.52 (step @p484 :rule instantiate :premises (@p304) :args ((@list @t240 @t263 @t158 @t238 @t158 @t246 @t328))) % 280.19/280.52 (step @p485 :rule cnf_or_pos :args (@t360)) % 280.19/280.52 (step @p486 :rule reordering :premises (@p485) :args ((or @t257 @t332 @t359 (not @t360)))) % 280.19/280.52 (step @p487 :rule chain_m_resolution :premises (@p486 @p354 @p414 @p484) :args (@t359 @t342 (@list @t256 @t331 @t360))) % 280.19/280.52 (step @p488 :rule instantiate :premises (@p304) :args ((@list @t239 @t157 @t158 @t154 @t238 @t246 @t312))) % 280.19/280.52 (step @p489 :rule cnf_or_pos :args (@t365)) % 280.19/280.52 (step @p490 :rule reordering :premises (@p489) :args ((or @t257 @t321 @t364 (not @t365)))) % 280.19/280.52 (step @p491 :rule chain_m_resolution :premises (@p490 @p354 @p394 @p488) :args (@t364 @t342 (@list @t256 @t320 @t365))) % 280.19/280.52 (step @p492 :rule bool-double-not-elim :args (@t250)) % 280.19/280.52 (step @p493 :rule nary_cong :premises (@p343 @p492) :args ((or @t260 (not @t251)))) % 280.19/280.52 (step @p494 :rule cnf_or_neg :args (@t260 4)) % 280.19/280.52 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 280.19/280.52 (step @p496 :rule reordering :premises (@p495) :args ((or @t250 @t260))) % 280.19/280.52 (step @p497 :rule chain_m_resolution :premises (@p496 @p341) :args (@t250 @t278 @t310)) % 280.19/280.52 (step @p498 :rule cnf_or_pos :args (@t366)) % 280.19/280.52 (step @p499 :rule reordering :premises (@p498) :args ((or @t255 @t251 @t319 @t367))) % 280.19/280.52 (step @p500 :rule chain_m_resolution :premises (@p499 @p374 @p497 @p443) :args (@t367 @t342 (@list @t254 @t250 @t318))) % 280.19/280.52 (assume-push @p549 @t361) % 280.19/280.52 (step @p502 :rule instantiate :premises (@p549) :args (@t314)) % 280.19/280.52 (step-pop @p550 :rule scope :premises (@p502)) % 280.19/280.52 (step @p503 :rule process_scope :premises (@p550) :args (@t366)) % 280.19/280.52 (step @p505 :rule implies_elim :premises (@p503)) % 280.19/280.52 (step @p506 :rule chain_m_resolution :premises (@p505 @p500) :args (@t362 @t278 (@list @t366))) % 280.19/280.52 (step @p507 :rule bool-double-not-elim :args (@t361)) % 280.19/280.52 (step @p508 :rule refl :args (@t363)) % 280.19/280.52 (step @p509 :rule refl :args (@t368)) % 280.19/280.52 (step @p510 :rule nary_cong :premises (@p509 @p508 @p507) :args ((or @t368 @t363 (not @t362)))) % 280.19/280.52 (step @p511 :rule cnf_equiv_pos2 :args (@t364)) % 280.19/280.52 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 280.19/280.52 (step @p513 :rule reordering :premises (@p512) :args ((or @t363 @t361 @t368))) % 280.19/280.52 (step @p514 :rule chain_m_resolution :premises (@p513 @p506 @p491) :args (@t363 @t309 (@list @t361 @t364))) % 280.19/280.52 (step @p515 :rule cnf_or_pos :args (@t370)) % 280.19/280.52 (step @p516 :rule reordering :premises (@p515) :args ((or @t321 @t369 @t330 @t371))) % 280.19/280.52 (step @p517 :rule chain_m_resolution :premises (@p516 @p394 @p514 @p433) :args (@t371 @t342 (@list @t320 @t363 @t329))) % 280.19/280.52 (assume-push @p551 @t356) % 280.19/280.52 (step @p519 :rule instantiate :premises (@p551) :args (@t313)) % 280.19/280.52 (step-pop @p552 :rule scope :premises (@p519)) % 280.19/280.52 (step @p520 :rule process_scope :premises (@p552) :args (@t370)) % 280.19/280.52 (step @p522 :rule implies_elim :premises (@p520)) % 280.19/280.52 (step @p523 :rule chain_m_resolution :premises (@p522 @p517) :args (@t357 @t278 (@list @t370))) % 280.19/280.52 (step @p524 :rule bool-double-not-elim :args (@t356)) % 280.19/280.52 (step @p525 :rule refl :args (@t358)) % 280.19/280.52 (step @p526 :rule refl :args (@t372)) % 280.19/280.52 (step @p527 :rule nary_cong :premises (@p526 @p525 @p524) :args ((or @t372 @t358 (not @t357)))) % 280.19/280.52 (step @p528 :rule cnf_equiv_pos2 :args (@t359)) % 280.19/280.52 (step @p529 :rule eq_resolve :premises (@p528 @p527)) % 280.19/280.52 (step @p530 :rule reordering :premises (@p529) :args ((or @t358 @t356 @t372))) % 280.19/280.52 (step @p531 :rule chain_m_resolution :premises (@p530 @p523 @p487) :args (@t358 @t309 (@list @t356 @t359))) % 280.19/280.52 (step @p532 :rule cnf_or_pos :args (@t375)) % 280.19/280.52 (step @p533 :rule reordering :premises (@p532) :args ((or @t259 @t257 @t248 @t332 @t374 @t373 (not @t375)))) % 280.19/280.52 (step @p534 false :rule chain_m_resolution :premises (@p533 @p531 @p483 @p423 @p416 @p414 @p354 @p348) :args (false (@list false false false true false false false) (@list @t358 @t339 @t375 @t248 @t331 @t256 @t258))) % 280.19/280.52 ) % 280.19/280.52 % SZS output end Proof % 280.19/280.52 % cvc5 exiting %------------------------------------------------------------------------------