%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET739+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 : n011.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 281.55s 281.73s % Output : Proof 281.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET739+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 % 0.18/0.34 % Computer : n011.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:10:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 281.55/281.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 281.55/281.73 --- Run --no-e-matching --full-saturate-quant at 6... % 281.55/281.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 281.55/281.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 281.55/281.73 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 281.55/281.73 --- Run --trigger-sel=max --full-saturate-quant at 15... % 281.55/281.73 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 281.55/281.73 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 281.55/281.73 --- Run --prenex-quant=none --full-saturate-quant at 30... % 281.55/281.73 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 281.55/281.73 --- Run --relevant-triggers --full-saturate-quant at 30... % 281.55/281.73 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 281.55/281.73 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 281.55/281.73 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 281.55/281.73 --- Run --no-cbqi --full-saturate-quant at 9... % 281.55/281.73 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 281.55/281.73 % SZS status Theorem % 281.55/281.73 % SZS output start Proof % 281.55/281.73 ( % 281.55/281.73 (declare-sort $$unsorted 0) % 281.55/281.73 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.empty_set $$unsorted) % 281.55/281.73 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 281.55/281.73 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.55/281.73 (define @t1 () (@var "B" $$unsorted)) % 281.55/281.73 (define @t2 () (@var "X" $$unsorted)) % 281.55/281.73 (define @t3 () (tptp.member @t2 @t1)) % 281.55/281.73 (define @t4 () (@var "A" $$unsorted)) % 281.55/281.73 (define @t5 () (tptp.member @t2 @t4)) % 281.55/281.73 (define @t6 () (@list @t2)) % 281.55/281.73 (define @t7 () (tptp.subset @t4 @t1)) % 281.55/281.73 (define @t8 () (@list @t4 @t1)) % 281.55/281.73 (define @t9 () (@list @t2 @t4)) % 281.55/281.73 (define @t10 () (@list @t2 @t4 @t1)) % 281.55/281.73 (define @t11 () (@var "E" $$unsorted)) % 281.55/281.73 (define @t12 () (= @t2 @t4)) % 281.55/281.73 (define @t13 () (@var "Y" $$unsorted)) % 281.55/281.73 (define @t14 () (tptp.member @t2 @t13)) % 281.55/281.73 (define @t15 () (tptp.member @t13 @t4)) % 281.55/281.73 (define @t16 () (@list @t13)) % 281.55/281.73 (define @t17 () (@var "Y2" $$unsorted)) % 281.55/281.73 (define @t18 () (@var "Y1" $$unsorted)) % 281.55/281.73 (define @t19 () (= @t18 @t17)) % 281.55/281.73 (define @t20 () (@var "F" $$unsorted)) % 281.55/281.73 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 281.55/281.73 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 281.55/281.73 (define @t23 () (and @t22 @t21)) % 281.55/281.73 (define @t24 () (=> @t23 @t19)) % 281.55/281.73 (define @t25 () (tptp.member @t17 @t1)) % 281.55/281.73 (define @t26 () (tptp.member @t18 @t1)) % 281.55/281.73 (define @t27 () (and @t5 @t26 @t25)) % 281.55/281.73 (define @t28 () (@list @t2 @t18 @t17)) % 281.55/281.73 (define @t29 () (forall @t28 (=> @t27 @t24))) % 281.55/281.73 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 281.55/281.73 (define @t31 () (tptp.member @t13 @t1)) % 281.55/281.73 (define @t32 () (and @t31 @t30)) % 281.55/281.73 (define @t33 () (exists @t16 @t32)) % 281.55/281.73 (define @t34 () (=> @t5 @t33)) % 281.55/281.73 (define @t35 () (forall @t6 @t34)) % 281.55/281.73 (define @t36 () (and @t35 @t29)) % 281.55/281.73 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 281.55/281.73 (define @t38 () (= @t37 @t36)) % 281.55/281.73 (define @t39 () (@list @t20 @t4 @t1)) % 281.55/281.73 (define @t40 () (forall @t39 @t38)) % 281.55/281.73 (define @t41 () (@var "Z" $$unsorted)) % 281.55/281.73 (define @t42 () (@var "G" $$unsorted)) % 281.55/281.73 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 281.55/281.73 (define @t44 () (and @t31 @t30 @t43)) % 281.55/281.73 (define @t45 () (exists @t16 @t44)) % 281.55/281.73 (define @t46 () (@var "H" $$unsorted)) % 281.55/281.73 (define @t47 () (@var "C" $$unsorted)) % 281.55/281.73 (define @t48 () (tptp.member @t41 @t47)) % 281.55/281.73 (define @t49 () (and @t5 @t48)) % 281.55/281.73 (define @t50 () (tptp.compose_function @t42 @t20 @t4 @t1 @t47)) % 281.55/281.73 (define @t51 () (tptp.apply @t50 @t2 @t41)) % 281.55/281.73 (define @t52 () (=> @t49 (= @t51 @t45))) % 281.55/281.73 (define @t53 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 281.55/281.73 (define @t54 () (forall @t53 @t52)) % 281.55/281.73 (define @t55 () (tptp.apply @t42 @t2 @t17)) % 281.55/281.73 (define @t56 () (@var "X2" $$unsorted)) % 281.55/281.73 (define @t57 () (@var "X1" $$unsorted)) % 281.55/281.73 (define @t58 () (= @t57 @t56)) % 281.55/281.73 (define @t59 () (tptp.apply @t20 @t56 @t13)) % 281.55/281.73 (define @t60 () (tptp.apply @t20 @t57 @t13)) % 281.55/281.73 (define @t61 () (and @t60 @t59)) % 281.55/281.73 (define @t62 () (=> @t61 @t58)) % 281.55/281.73 (define @t63 () (tptp.member @t56 @t4)) % 281.55/281.73 (define @t64 () (tptp.member @t57 @t4)) % 281.55/281.73 (define @t65 () (and @t64 @t63 @t31)) % 281.55/281.73 (define @t66 () (@list @t57 @t56 @t13)) % 281.55/281.73 (define @t67 () (forall @t66 (=> @t65 @t62))) % 281.55/281.73 (define @t68 () (tptp.injective @t20 @t4 @t1)) % 281.55/281.73 (define @t69 () (= @t68 @t67)) % 281.55/281.73 (define @t70 () (forall @t39 @t69)) % 281.55/281.73 (define @t71 () (tptp.apply @t20 @t11 @t13)) % 281.55/281.73 (define @t72 () (tptp.member @t11 @t4)) % 281.55/281.73 (define @t73 () (and @t72 @t71)) % 281.55/281.73 (define @t74 () (@list @t11)) % 281.55/281.73 (define @t75 () (exists @t74 @t73)) % 281.55/281.73 (define @t76 () (=> @t31 @t75)) % 281.55/281.73 (define @t77 () (forall @t16 @t76)) % 281.55/281.73 (define @t78 () (tptp.surjective @t20 @t4 @t1)) % 281.55/281.73 (define @t79 () (= @t78 @t77)) % 281.55/281.73 (define @t80 () (forall @t39 @t79)) % 281.55/281.73 (define @t81 () (and @t68 @t78)) % 281.55/281.73 (define @t82 () (tptp.one_to_one @t20 @t4 @t1)) % 281.55/281.73 (define @t83 () (= @t82 @t81)) % 281.55/281.73 (define @t84 () (forall @t39 @t83)) % 281.55/281.73 (define @t85 () (and @t5 @t31)) % 281.55/281.73 (define @t86 () (exists @t6 (and @t5 @t30))) % 281.55/281.73 (define @t87 () (@var "S" $$unsorted)) % 281.55/281.73 (define @t88 () (tptp.apply @t87 @t18 @t17)) % 281.55/281.73 (define @t89 () (tptp.apply @t20 @t56 @t17)) % 281.55/281.73 (define @t90 () (tptp.apply @t20 @t57 @t18)) % 281.55/281.73 (define @t91 () (@var "R" $$unsorted)) % 281.55/281.73 (define @t92 () (tptp.apply @t91 @t57 @t56)) % 281.55/281.73 (define @t93 () (and @t64 @t26 @t63 @t25 @t92 @t90 @t89)) % 281.55/281.73 (define @t94 () (@list @t57 @t18 @t56 @t17)) % 281.55/281.73 (define @t95 () (@list @t20 @t4 @t91 @t1 @t87)) % 281.55/281.73 (define @t96 () (tptp.compose_function @t42 (tptp.compose_function @t20 @t46 @t47 @t4 @t1) @t47 @t1 @t47)) % 281.55/281.73 (define @t97 () (tptp.surjective @t96 @t47 @t47)) % 281.55/281.73 (define @t98 () (tptp.compose_function @t20 (tptp.compose_function @t46 @t42 @t1 @t47 @t4) @t1 @t4 @t1)) % 281.55/281.73 (define @t99 () (tptp.surjective @t98 @t1 @t1)) % 281.55/281.73 (define @t100 () (tptp.compose_function @t46 @t50 @t4 @t47 @t4)) % 281.55/281.73 (define @t101 () (tptp.injective @t100 @t4 @t4)) % 281.55/281.73 (define @t102 () (tptp.maps @t46 @t47 @t4)) % 281.55/281.73 (define @t103 () (tptp.maps @t42 @t1 @t47)) % 281.55/281.73 (define @t104 () (and @t37 @t103 @t102 @t101 @t99 @t97)) % 281.55/281.73 (define @t105 () (@list @t20 @t42 @t46 @t4 @t1 @t47)) % 281.55/281.73 (define @t106 () (forall @t105 (=> @t104 @t82))) % 281.55/281.73 (define @t107 () (not @t106)) % 281.55/281.73 (define @t108 () (@var "BOUND_VARIABLE_8446" $$unsorted)) % 281.55/281.73 (define @t109 () (not @t72)) % 281.55/281.73 (define @t110 () (or (not (tptp.member @t108 @t1)) (not (forall @t74 (or @t109 (not (tptp.apply @t20 @t11 @t108))))))) % 281.55/281.73 (define @t111 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 281.55/281.73 (define @t112 () (@var "BOUND_VARIABLE_8428" $$unsorted)) % 281.55/281.73 (define @t113 () (@var "BOUND_VARIABLE_8432" $$unsorted)) % 281.55/281.73 (define @t114 () (or (not (tptp.member @t112 @t4)) (not (tptp.member @t111 @t4)) (not (tptp.member @t113 @t1)) (not (tptp.apply @t20 @t112 @t113)) (not (tptp.apply @t20 @t111 @t113)) (= @t112 @t111))) % 281.55/281.73 (define @t115 () (and @t114 @t110)) % 281.55/281.73 (define @t116 () (not (tptp.member @t13 @t47))) % 281.55/281.73 (define @t117 () (forall @t16 (or @t116 (not (forall @t74 (or (not (tptp.member @t11 @t47)) (not (tptp.apply @t96 @t11 @t13)))))))) % 281.55/281.73 (define @t118 () (not @t117)) % 281.55/281.73 (define @t119 () (not @t31)) % 281.55/281.73 (define @t120 () (forall @t16 (or @t119 (not (forall @t74 (or (not (tptp.member @t11 @t1)) (not (tptp.apply @t98 @t11 @t13)))))))) % 281.55/281.73 (define @t121 () (not @t120)) % 281.55/281.73 (define @t122 () (not @t15)) % 281.55/281.73 (define @t123 () (not @t63)) % 281.55/281.73 (define @t124 () (not @t64)) % 281.55/281.73 (define @t125 () (forall @t66 (or @t124 @t123 @t122 (not (tptp.apply @t100 @t57 @t13)) (not (tptp.apply @t100 @t56 @t13)) @t58))) % 281.55/281.73 (define @t126 () (not @t125)) % 281.55/281.73 (define @t127 () (not (tptp.member @t2 @t47))) % 281.55/281.73 (define @t128 () (forall @t28 (or @t127 (not (tptp.member @t18 @t4)) (not (tptp.member @t17 @t4)) (not (tptp.apply @t46 @t2 @t18)) (not (tptp.apply @t46 @t2 @t17)) @t19))) % 281.55/281.73 (define @t129 () (not @t128)) % 281.55/281.73 (define @t130 () (forall @t6 (or @t127 (not (forall @t16 (or @t122 (not (tptp.apply @t46 @t2 @t13)))))))) % 281.55/281.73 (define @t131 () (not @t130)) % 281.55/281.73 (define @t132 () (not @t3)) % 281.55/281.73 (define @t133 () (forall @t28 (or @t132 (not (tptp.member @t18 @t47)) (not (tptp.member @t17 @t47)) (not (tptp.apply @t42 @t2 @t18)) (not @t55) @t19))) % 281.55/281.73 (define @t134 () (not @t133)) % 281.55/281.73 (define @t135 () (forall @t6 (or @t132 (not (forall @t16 (or @t116 (not (tptp.apply @t42 @t2 @t13)))))))) % 281.55/281.73 (define @t136 () (not @t135)) % 281.55/281.73 (define @t137 () (not @t21)) % 281.55/281.73 (define @t138 () (not @t22)) % 281.55/281.73 (define @t139 () (not @t25)) % 281.55/281.73 (define @t140 () (not @t26)) % 281.55/281.73 (define @t141 () (not @t5)) % 281.55/281.73 (define @t142 () (or @t141 @t140 @t139 @t138 @t137 @t19)) % 281.55/281.73 (define @t143 () (forall @t28 @t142)) % 281.55/281.73 (define @t144 () (not @t143)) % 281.55/281.73 (define @t145 () (not @t30)) % 281.55/281.73 (define @t146 () (not (forall @t16 (or @t119 @t145)))) % 281.55/281.73 (define @t147 () (forall @t6 (or @t141 @t146))) % 281.55/281.73 (define @t148 () (not @t147)) % 281.55/281.73 (define @t149 () (or @t148 @t144 @t136 @t134 @t131 @t129 @t126 @t121 @t118 @t115)) % 281.55/281.73 (define @t150 () (forall (@list @t20 @t42 @t46 @t4 @t1 @t47 @t112 @t111 @t113 @t108) @t149)) % 281.55/281.73 (define @t151 () (@quantifiers_skolemize @t150 4)) % 281.55/281.73 (define @t152 () (@quantifiers_skolemize @t150 9)) % 281.55/281.73 (define @t153 () (tptp.member @t152 @t151)) % 281.55/281.73 (define @t154 () (@quantifiers_skolemize @t150 0)) % 281.55/281.73 (define @t155 () (@quantifiers_skolemize @t150 3)) % 281.55/281.73 (define @t156 () (forall @t74 (or (not (tptp.member @t11 @t155)) (not (tptp.apply @t154 @t11 @t152))))) % 281.55/281.73 (define @t157 () (not @t156)) % 281.55/281.73 (define @t158 () (not @t153)) % 281.55/281.73 (define @t159 () (or @t158 @t157)) % 281.55/281.73 (define @t160 () (@list @t112 @t111 @t113 @t108)) % 281.55/281.73 (define @t161 () (forall @t160 @t149)) % 281.55/281.73 (define @t162 () (forall (@list @t108) @t110)) % 281.55/281.73 (define @t163 () (forall @t160 @t110)) % 281.55/281.73 (define @t164 () (forall (@list @t112 @t111 @t113) @t114)) % 281.55/281.73 (define @t165 () (forall @t160 @t114)) % 281.55/281.73 (define @t166 () (and @t165 @t163)) % 281.55/281.73 (define @t167 () (forall @t160 @t115)) % 281.55/281.73 (define @t168 () (or @t148 @t144 @t136 @t134 @t131 @t129 @t126 @t121 @t118 @t167)) % 281.55/281.73 (define @t169 () (not (forall @t74 (or @t109 (not @t71))))) % 281.55/281.73 (define @t170 () (forall @t16 (or @t119 @t169))) % 281.55/281.73 (define @t171 () (not @t59)) % 281.55/281.73 (define @t172 () (not @t60)) % 281.55/281.73 (define @t173 () (or @t124 @t123 @t119 @t172 @t171 @t58)) % 281.55/281.73 (define @t174 () (forall @t66 @t173)) % 281.55/281.73 (define @t175 () (and @t174 @t170)) % 281.55/281.73 (define @t176 () (or @t148 @t144 @t136 @t134 @t131 @t129 @t126 @t121 @t118 @t175)) % 281.55/281.73 (define @t177 () (and @t130 @t128)) % 281.55/281.73 (define @t178 () (and @t135 @t133)) % 281.55/281.73 (define @t179 () (and @t147 @t143)) % 281.55/281.73 (define @t180 () (or (not @t179) (not @t178) (not @t177) @t126 @t121 @t118 @t175)) % 281.55/281.73 (define @t181 () (@var "BOUND_VARIABLE_8130" $$unsorted)) % 281.55/281.73 (define @t182 () (@var "BOUND_VARIABLE_8131" $$unsorted)) % 281.55/281.73 (define @t183 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 281.55/281.73 (define @t184 () (not (tptp.member @t13 @t183))) % 281.55/281.73 (define @t185 () (lambda (@list @t181 @t182 @t183) (and (forall @t66 (or (not (tptp.member @t57 @t182)) (not (tptp.member @t56 @t182)) @t184 (not (tptp.apply @t181 @t57 @t13)) (not (tptp.apply @t181 @t56 @t13)) @t58)) (forall @t16 (or @t184 (not (forall @t74 (or (not (tptp.member @t11 @t182)) (not (tptp.apply @t181 @t11 @t13)))))))))) % 281.55/281.73 (define @t186 () (_ @t185 @t20 @t4 @t1)) % 281.55/281.73 (define @t187 () (@var "BOUND_VARIABLE_8097" $$unsorted)) % 281.55/281.73 (define @t188 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 281.55/281.73 (define @t189 () (@var "BOUND_VARIABLE_8099" $$unsorted)) % 281.55/281.73 (define @t190 () (lambda (@list @t187 @t188 @t189) (forall @t16 (or (not (tptp.member @t13 @t189)) (not (forall @t74 (or (not (tptp.member @t11 @t188)) (not (tptp.apply @t187 @t11 @t13))))))))) % 281.55/281.73 (define @t191 () (_ @t190 @t96 @t47 @t47)) % 281.55/281.73 (define @t192 () (not @t191)) % 281.55/281.73 (define @t193 () (_ @t190 @t98 @t1 @t1)) % 281.55/281.73 (define @t194 () (not @t193)) % 281.55/281.73 (define @t195 () (@var "BOUND_VARIABLE_8072" $$unsorted)) % 281.55/281.73 (define @t196 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 281.55/281.73 (define @t197 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 281.55/281.73 (define @t198 () (lambda (@list @t195 @t197 @t196) (forall @t66 (or (not (tptp.member @t57 @t197)) (not (tptp.member @t56 @t197)) (not (tptp.member @t13 @t196)) (not (tptp.apply @t195 @t57 @t13)) (not (tptp.apply @t195 @t56 @t13)) @t58)))) % 281.55/281.73 (define @t199 () (_ @t198 @t100 @t4 @t4)) % 281.55/281.73 (define @t200 () (not @t199)) % 281.55/281.73 (define @t201 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 281.55/281.73 (define @t202 () (@var "BOUND_VARIABLE_7960" $$unsorted)) % 281.55/281.73 (define @t203 () (@var "BOUND_VARIABLE_7959" $$unsorted)) % 281.55/281.73 (define @t204 () (not (tptp.member @t2 @t203))) % 281.55/281.73 (define @t205 () (lambda (@list @t201 @t203 @t202) (and (forall @t6 (or @t204 (not (forall @t16 (or (not (tptp.member @t13 @t202)) (not (tptp.apply @t201 @t2 @t13))))))) (forall @t28 (or @t204 (not (tptp.member @t18 @t202)) (not (tptp.member @t17 @t202)) (not (tptp.apply @t201 @t2 @t18)) (not (tptp.apply @t201 @t2 @t17)) @t19))))) % 281.55/281.73 (define @t206 () (_ @t205 @t46 @t47 @t4)) % 281.55/281.73 (define @t207 () (not @t206)) % 281.55/281.73 (define @t208 () (_ @t205 @t42 @t1 @t47)) % 281.55/281.73 (define @t209 () (not @t208)) % 281.55/281.73 (define @t210 () (_ @t205 @t20 @t4 @t1)) % 281.55/281.73 (define @t211 () (not @t210)) % 281.55/281.73 (define @t212 () (or @t211 @t209 @t207 @t200 @t194 @t192 @t186)) % 281.55/281.73 (define @t213 () (forall @t105 @t212)) % 281.55/281.73 (define @t214 () (_ @t190 @t20 @t4 @t1)) % 281.55/281.73 (define @t215 () (_ @t198 @t20 @t4 @t1)) % 281.55/281.73 (define @t216 () (and @t215 @t214)) % 281.55/281.73 (define @t217 () (= @t82 @t216)) % 281.55/281.73 (define @t218 () (forall @t74 (not @t73))) % 281.55/281.73 (define @t219 () (not @t218)) % 281.55/281.73 (define @t220 () (or @t172 @t171 @t58)) % 281.55/281.73 (define @t221 () (or @t124 @t123 @t119)) % 281.55/281.73 (define @t222 () (not @t97)) % 281.55/281.73 (define @t223 () (not @t99)) % 281.55/281.73 (define @t224 () (not @t101)) % 281.55/281.73 (define @t225 () (or @t138 @t137 @t19)) % 281.55/281.73 (define @t226 () (or @t141 @t140 @t139)) % 281.55/281.73 (define @t227 () (forall @t16 (not @t32))) % 281.55/281.73 (define @t228 () (not @t227)) % 281.55/281.73 (define @t229 () (not @t102)) % 281.55/281.73 (define @t230 () (not @t103)) % 281.55/281.73 (define @t231 () (not @t37)) % 281.55/281.73 (define @t232 () (or @t231 @t230 @t229 @t224 @t223 @t222 @t82)) % 281.55/281.73 (define @t233 () (forall @t105 @t232)) % 281.55/281.73 (define @t234 () (or @t231 @t230 @t229 @t224 @t223 @t222)) % 281.55/281.73 (define @t235 () (@quantifiers_skolemize @t150 5)) % 281.55/281.73 (define @t236 () (@quantifiers_skolemize @t150 1)) % 281.55/281.73 (define @t237 () (@quantifiers_skolemize @t150 2)) % 281.55/281.73 (define @t238 () (tptp.compose_function @t237 @t236 @t151 @t235 @t155)) % 281.55/281.73 (define @t239 () (tptp.compose_function @t154 @t238 @t151 @t155 @t151)) % 281.55/281.73 (define @t240 () (not (tptp.member @t11 @t151))) % 281.55/281.73 (define @t241 () (not (tptp.member @t13 @t151))) % 281.55/281.73 (define @t242 () (forall @t16 (or @t241 (not (forall @t74 (or @t240 (not (tptp.apply @t239 @t11 @t13)))))))) % 281.55/281.73 (define @t243 () (@quantifiers_skolemize @t150 7)) % 281.55/281.73 (define @t244 () (@quantifiers_skolemize @t150 6)) % 281.55/281.73 (define @t245 () (= @t244 @t243)) % 281.55/281.73 (define @t246 () (@quantifiers_skolemize @t150 8)) % 281.55/281.73 (define @t247 () (tptp.apply @t154 @t243 @t246)) % 281.55/281.73 (define @t248 () (not @t247)) % 281.55/281.73 (define @t249 () (tptp.apply @t154 @t244 @t246)) % 281.55/281.73 (define @t250 () (not @t249)) % 281.55/281.73 (define @t251 () (tptp.member @t246 @t151)) % 281.55/281.73 (define @t252 () (not @t251)) % 281.55/281.73 (define @t253 () (tptp.member @t243 @t155)) % 281.55/281.73 (define @t254 () (not @t253)) % 281.55/281.73 (define @t255 () (tptp.member @t244 @t155)) % 281.55/281.73 (define @t256 () (not @t255)) % 281.55/281.73 (define @t257 () (or @t256 @t254 @t252 @t250 @t248 @t245)) % 281.55/281.73 (define @t258 () (and @t257 @t159)) % 281.55/281.73 (define @t259 () (not (tptp.member @t13 @t235))) % 281.55/281.73 (define @t260 () (not @t242)) % 281.55/281.73 (define @t261 () (tptp.compose_function @t236 @t154 @t155 @t151 @t235)) % 281.55/281.73 (define @t262 () (tptp.compose_function @t237 @t261 @t155 @t235 @t155)) % 281.55/281.73 (define @t263 () (not (tptp.member @t13 @t155))) % 281.55/281.73 (define @t264 () (forall @t66 (or (not (tptp.member @t57 @t155)) (not (tptp.member @t56 @t155)) @t263 (not (tptp.apply @t262 @t57 @t13)) (not (tptp.apply @t262 @t56 @t13)) @t58))) % 281.55/281.73 (define @t265 () (not @t264)) % 281.55/281.73 (define @t266 () (not (tptp.member @t2 @t235))) % 281.55/281.73 (define @t267 () (forall @t6 (or @t266 (not (forall @t16 (or @t263 (not (tptp.apply @t237 @t2 @t13)))))))) % 281.55/281.73 (define @t268 () (not @t267)) % 281.55/281.73 (define @t269 () (not (tptp.member @t2 @t151))) % 281.55/281.73 (define @t270 () (forall @t6 (or @t269 (not (forall @t16 (or @t259 (not (tptp.apply @t236 @t2 @t13)))))))) % 281.55/281.73 (define @t271 () (not @t270)) % 281.55/281.73 (define @t272 () (not (tptp.member @t2 @t155))) % 281.55/281.73 (define @t273 () (or (not (forall @t6 (or @t272 (not (forall @t16 (or @t241 (not (tptp.apply @t154 @t2 @t13)))))))) (not (forall @t28 (or @t272 (not (tptp.member @t18 @t151)) (not (tptp.member @t17 @t151)) (not (tptp.apply @t154 @t2 @t18)) (not (tptp.apply @t154 @t2 @t17)) @t19))) @t271 (not (forall @t28 (or @t269 (not (tptp.member @t18 @t235)) (not (tptp.member @t17 @t235)) (not (tptp.apply @t236 @t2 @t18)) (not (tptp.apply @t236 @t2 @t17)) @t19))) @t268 (not (forall @t28 (or @t266 (not (tptp.member @t18 @t155)) (not (tptp.member @t17 @t155)) (not (tptp.apply @t237 @t2 @t18)) (not (tptp.apply @t237 @t2 @t17)) @t19))) @t265 @t260 (not (forall @t16 (or @t259 (not (forall @t74 (or (not (tptp.member @t11 @t235)) (not (tptp.apply (tptp.compose_function @t236 (tptp.compose_function @t154 @t237 @t235 @t155 @t151) @t235 @t151 @t235) @t11 @t13)))))))) @t258)) % 281.55/281.73 (define @t274 () (@list true)) % 281.55/281.73 (define @t275 () (@list @t273)) % 281.55/281.73 (define @t276 () (forall @t74 (or @t240 (not (tptp.apply @t239 @t11 @t152))))) % 281.55/281.73 (define @t277 () (not @t276)) % 281.55/281.73 (define @t278 () (or @t158 @t277)) % 281.55/281.73 (define @t279 () (@quantifiers_skolemize @t276 0)) % 281.55/281.73 (define @t280 () (tptp.apply @t239 @t279 @t152)) % 281.55/281.73 (define @t281 () (not @t280)) % 281.55/281.73 (define @t282 () (tptp.member @t279 @t151)) % 281.55/281.73 (define @t283 () (not @t282)) % 281.55/281.73 (define @t284 () (or @t283 @t281)) % 281.55/281.73 (define @t285 () (not @t284)) % 281.55/281.73 (define @t286 () (not @t43)) % 281.55/281.73 (define @t287 () (or @t119 @t145 @t286)) % 281.55/281.73 (define @t288 () (not (forall @t16 @t287))) % 281.55/281.73 (define @t289 () (= @t51 @t288)) % 281.55/281.73 (define @t290 () (not @t48)) % 281.55/281.73 (define @t291 () (forall @t16 (not @t44))) % 281.55/281.73 (define @t292 () (not @t291)) % 281.55/281.73 (define @t293 () (forall @t16 (or @t263 (not (tptp.apply @t238 @t279 @t13)) (not (tptp.apply @t154 @t13 @t152))))) % 281.55/281.73 (define @t294 () (not @t293)) % 281.55/281.73 (define @t295 () (= @t280 @t294)) % 281.55/281.73 (define @t296 () (or @t283 @t158 @t295)) % 281.55/281.73 (define @t297 () (@quantifiers_skolemize @t293 0)) % 281.55/281.73 (define @t298 () (tptp.apply @t154 @t297 @t152)) % 281.55/281.73 (define @t299 () (not @t298)) % 281.55/281.73 (define @t300 () (tptp.member @t297 @t155)) % 281.55/281.73 (define @t301 () (not @t300)) % 281.55/281.73 (define @t302 () (or @t301 (not (tptp.apply @t238 @t279 @t297)) @t299)) % 281.55/281.73 (define @t303 () (not @t302)) % 281.55/281.73 (define @t304 () (or @t301 @t299)) % 281.55/281.73 (define @t305 () (@list true false)) % 281.55/281.73 (define @t306 () (@list @t257)) % 281.55/281.73 (define @t307 () (forall @t16 (or @t259 (not (tptp.apply @t236 @t246 @t13))))) % 281.55/281.73 (define @t308 () (@quantifiers_skolemize @t307 0)) % 281.55/281.73 (define @t309 () (@list @t308)) % 281.55/281.73 (define @t310 () (@list @t246)) % 281.55/281.73 (define @t311 () (not @t307)) % 281.55/281.73 (define @t312 () (or @t252 @t311)) % 281.55/281.73 (define @t313 () (@list false false)) % 281.55/281.73 (define @t314 () (tptp.apply @t236 @t246 @t308)) % 281.55/281.73 (define @t315 () (not @t314)) % 281.55/281.73 (define @t316 () (tptp.member @t308 @t235)) % 281.55/281.73 (define @t317 () (not @t316)) % 281.55/281.73 (define @t318 () (or @t317 @t315)) % 281.55/281.73 (define @t319 () (not @t318)) % 281.55/281.73 (define @t320 () (@list @t318)) % 281.55/281.73 (define @t321 () (forall @t16 (or @t263 (not (tptp.apply @t237 @t308 @t13))))) % 281.55/281.73 (define @t322 () (not @t321)) % 281.55/281.73 (define @t323 () (or @t317 @t322)) % 281.55/281.73 (define @t324 () (@quantifiers_skolemize @t321 0)) % 281.55/281.73 (define @t325 () (tptp.apply @t237 @t308 @t324)) % 281.55/281.73 (define @t326 () (not @t325)) % 281.55/281.73 (define @t327 () (tptp.member @t324 @t155)) % 281.55/281.73 (define @t328 () (not @t327)) % 281.55/281.73 (define @t329 () (or @t328 @t326)) % 281.55/281.73 (define @t330 () (not @t329)) % 281.55/281.73 (define @t331 () (@list @t329)) % 281.55/281.73 (define @t332 () (not (tptp.apply @t237 @t13 @t324))) % 281.55/281.73 (define @t333 () (forall @t16 (or @t259 (not (tptp.apply @t261 @t244 @t13)) @t332))) % 281.55/281.73 (define @t334 () (not @t333)) % 281.55/281.73 (define @t335 () (tptp.apply @t262 @t244 @t324)) % 281.55/281.73 (define @t336 () (= @t335 @t334)) % 281.55/281.73 (define @t337 () (or @t256 @t328 @t336)) % 281.55/281.73 (define @t338 () (@list false false false)) % 281.55/281.73 (define @t339 () (not (tptp.apply @t236 @t13 @t308))) % 281.55/281.73 (define @t340 () (forall @t16 (or @t241 (not (tptp.apply @t154 @t244 @t13)) @t339))) % 281.55/281.73 (define @t341 () (not @t340)) % 281.55/281.73 (define @t342 () (tptp.apply @t261 @t244 @t308)) % 281.55/281.73 (define @t343 () (= @t342 @t341)) % 281.55/281.73 (define @t344 () (or @t256 @t317 @t343)) % 281.55/281.73 (define @t345 () (or @t252 @t250 @t315)) % 281.55/281.73 (define @t346 () (not @t345)) % 281.55/281.73 (define @t347 () (not @t343)) % 281.55/281.73 (define @t348 () (not @t342)) % 281.55/281.73 (define @t349 () (or @t317 @t348 @t326)) % 281.55/281.73 (define @t350 () (not @t349)) % 281.55/281.73 (define @t351 () (not @t336)) % 281.55/281.73 (define @t352 () (forall @t16 (or @t259 (not (tptp.apply @t261 @t243 @t13)) @t332))) % 281.55/281.73 (define @t353 () (not @t352)) % 281.55/281.73 (define @t354 () (tptp.apply @t262 @t243 @t324)) % 281.55/281.73 (define @t355 () (= @t354 @t353)) % 281.55/281.73 (define @t356 () (or @t254 @t328 @t355)) % 281.55/281.73 (define @t357 () (forall @t16 (or @t241 (not (tptp.apply @t154 @t243 @t13)) @t339))) % 281.55/281.73 (define @t358 () (not @t357)) % 281.55/281.73 (define @t359 () (tptp.apply @t261 @t243 @t308)) % 281.55/281.73 (define @t360 () (= @t359 @t358)) % 281.55/281.73 (define @t361 () (or @t254 @t317 @t360)) % 281.55/281.73 (define @t362 () (or @t252 @t248 @t315)) % 281.55/281.73 (define @t363 () (not @t362)) % 281.55/281.73 (define @t364 () (not @t360)) % 281.55/281.73 (define @t365 () (not @t359)) % 281.55/281.73 (define @t366 () (or @t317 @t365 @t326)) % 281.55/281.73 (define @t367 () (not @t366)) % 281.55/281.73 (define @t368 () (not @t355)) % 281.55/281.73 (define @t369 () (not @t354)) % 281.55/281.73 (define @t370 () (not @t335)) % 281.55/281.73 (define @t371 () (or @t256 @t254 @t328 @t370 @t369 @t245)) % 281.55/281.73 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 281.55/281.73 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 281.55/281.73 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 281.55/281.73 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 281.55/281.73 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 281.55/281.73 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 281.55/281.74 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 281.55/281.74 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 281.55/281.74 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 281.55/281.74 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 281.55/281.74 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 281.55/281.74 (assume @p12 @t40) % 281.55/281.74 (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)))))) % 281.55/281.74 (assume @p14 @t54) % 281.55/281.74 (assume @p15 (forall (@list @t20 @t42 @t4 @t1) (= (tptp.equal_maps @t20 @t42 @t4 @t1) (forall @t28 (=> @t27 (=> (and @t22 @t55) @t19)))))) % 281.55/281.74 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 281.55/281.74 (assume @p17 @t70) % 281.55/281.74 (assume @p18 @t80) % 281.55/281.74 (assume @p19 @t84) % 281.55/281.74 (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))))))) % 281.55/281.74 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t85 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 281.55/281.74 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t86))) % 281.55/281.74 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t86)))) % 281.55/281.74 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 281.55/281.74 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 281.55/281.74 (assume @p26 (forall @t95 (= (tptp.increasing @t20 @t4 @t91 @t1 @t87) (forall @t94 (=> @t93 @t88))))) % 281.55/281.74 (assume @p27 (forall @t95 (= (tptp.decreasing @t20 @t4 @t91 @t1 @t87) (forall @t94 (=> @t93 (tptp.apply @t87 @t17 @t18)))))) % 281.55/281.74 (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))))))) % 281.55/281.74 (assume @p29 @t107) % 281.55/281.74 (assume @p30 true) % 281.55/281.74 (step @p31 :rule bool-double-not-elim :args (@t153)) % 281.55/281.74 (step @p32 :rule refl :args (@t159)) % 281.55/281.74 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t159 (not @t158)))) % 281.55/281.74 (step @p34 :rule cnf_or_neg :args (@t159 0)) % 281.55/281.74 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 281.55/281.74 (step @p36 :rule reordering :premises (@p35) :args ((or @t153 @t159))) % 281.55/281.74 (step @p37 :rule bool-double-not-elim :args (@t156)) % 281.55/281.74 (step @p38 :rule nary_cong :premises (@p32 @p37) :args ((or @t159 (not @t157)))) % 281.55/281.74 (step @p39 :rule cnf_or_neg :args (@t159 1)) % 281.55/281.74 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 281.55/281.74 (step @p41 :rule reordering :premises (@p40) :args ((or @t156 @t159))) % 281.55/281.74 (step @p42 :rule quant-merge-prenex :args ((= (forall @t105 @t161) @t150))) % 281.55/281.74 (step @p43 :rule alpha_equiv :args (@t162 (@list @t108) (@list @t13))) % 281.55/281.74 (step @p44 :rule quant-unused-vars :args ((= @t163 @t162))) % 281.55/281.74 (step @p45 :rule trans :premises (@p44 @p43)) % 281.55/281.74 (step @p46 :rule alpha_equiv :args (@t164 (@list @t112 @t111 @t113) (@list @t57 @t56 @t13))) % 281.55/281.74 (step @p47 :rule quant-unused-vars :args ((= @t165 @t164))) % 281.55/281.74 (step @p48 :rule trans :premises (@p47 @p46)) % 281.55/281.74 (step @p49 :rule nary_cong :premises (@p48 @p45) :args (@t166)) % 281.55/281.74 (step @p50 :rule quant-miniscope-and :args ((= @t167 @t166))) % 281.55/281.74 (step @p51 :rule trans :premises (@p50 @p49)) % 281.55/281.74 (step @p52 :rule refl :args (@t118)) % 281.55/281.74 (step @p53 :rule refl :args (@t121)) % 281.55/281.74 (step @p54 :rule refl :args (@t126)) % 281.55/281.74 (step @p55 :rule refl :args (@t129)) % 281.55/281.74 (step @p56 :rule refl :args (@t131)) % 281.55/281.74 (step @p57 :rule refl :args (@t134)) % 281.55/281.74 (step @p58 :rule refl :args (@t136)) % 281.55/281.74 (step @p59 :rule refl :args (@t144)) % 281.55/281.74 (step @p60 :rule refl :args (@t148)) % 281.55/281.74 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51) :args (@t168)) % 281.55/281.74 (step @p62 :rule quant-miniscope-or :args ((= @t161 @t168))) % 281.55/281.74 (step @p63 :rule trans :premises (@p62 @p61)) % 281.55/281.74 (step @p64 :rule symm :premises (@p63)) % 281.55/281.74 (step @p65 :rule cong :premises (@p64) :args ((forall @t105 @t176))) % 281.55/281.74 (step @p66 :rule trans :premises (@p65 @p42)) % 281.55/281.74 (step @p67 :rule aci_norm :args ((= (or (or @t148 @t144) (or @t136 @t134) (or @t131 @t129) @t126 @t121 @t118 @t175) @t176))) % 281.55/281.74 (step @p68 :rule refl :args (@t175)) % 281.55/281.74 (step @p69 :rule bool-and-de-morgan :args (@t130 @t128 true)) % 281.55/281.74 (step @p70 :rule bool-and-de-morgan :args (@t135 @t133 true)) % 281.55/281.74 (step @p71 :rule bool-and-de-morgan :args (@t147 @t143 true)) % 281.55/281.74 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p54 @p53 @p52 @p68) :args (@t180)) % 281.55/281.74 (step @p73 :rule trans :premises (@p72 @p67)) % 281.55/281.74 (step @p74 :rule cong :premises (@p73) :args ((forall @t105 @t180))) % 281.55/281.74 (step @p75 :rule trans :premises (@p74 @p66)) % 281.55/281.74 (step @p76 :rule beta-reduce :args ((= @t186 @t175))) % 281.55/281.74 (step @p77 :rule beta-reduce :args ((= @t191 @t117))) % 281.55/281.74 (step @p78 :rule cong :premises (@p77) :args (@t192)) % 281.55/281.74 (step @p79 :rule beta-reduce :args ((= @t193 @t120))) % 281.55/281.74 (step @p80 :rule cong :premises (@p79) :args (@t194)) % 281.55/281.74 (step @p81 :rule beta-reduce :args ((= @t199 @t125))) % 281.55/281.74 (step @p82 :rule cong :premises (@p81) :args (@t200)) % 281.55/281.74 (step @p83 :rule beta-reduce :args ((= @t206 @t177))) % 281.55/281.74 (step @p84 :rule cong :premises (@p83) :args (@t207)) % 281.55/281.74 (step @p85 :rule beta-reduce :args ((= @t208 @t178))) % 281.55/281.74 (step @p86 :rule cong :premises (@p85) :args (@t209)) % 281.55/281.74 (step @p87 :rule beta-reduce :args ((= @t210 @t179))) % 281.55/281.74 (step @p88 :rule cong :premises (@p87) :args (@t211)) % 281.55/281.74 (step @p89 :rule nary_cong :premises (@p88 @p86 @p84 @p82 @p80 @p78 @p76) :args (@t212)) % 281.55/281.74 (step @p90 :rule cong :premises (@p89) :args (@t213)) % 281.55/281.74 (step @p91 :rule trans :premises (@p90 @p75)) % 281.55/281.74 (step @p92 :rule cong :premises (@p91) :args ((not @t213))) % 281.55/281.74 (step @p93 :rule refl :args (@t1)) % 281.55/281.74 (step @p94 :rule refl :args (@t4)) % 281.55/281.74 (step @p95 :rule refl :args (@t20)) % 281.55/281.74 ; WARNING: add trust step for TRUST % 281.55/281.74 ; trust TRUST SUBS_EQ % 281.55/281.74 (step @p96 :rule trust :premises () :args ((= (forall @t39 (= @t82 @t175)) (= tptp.one_to_one @t185)))) % 281.55/281.74 (step @p97 :rule beta-reduce :args ((= @t214 @t170))) % 281.55/281.74 (step @p98 :rule beta-reduce :args ((= @t215 @t174))) % 281.55/281.74 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t216)) % 281.55/281.74 (step @p100 :rule refl :args (@t82)) % 281.55/281.74 (step @p101 :rule cong :premises (@p100 @p99) :args (@t217)) % 281.55/281.74 (step @p102 :rule cong :premises (@p101) :args ((forall @t39 @t217))) % 281.55/281.74 ; trust TRUST SUBS_EQ % 281.55/281.74 (step @p103 :rule trust :premises () :args ((= (forall @t39 (= @t78 @t170)) (= tptp.surjective @t190)))) % 281.55/281.74 (step @p104 :rule bool-impl-elim :args (@t31 @t169)) % 281.55/281.74 (step @p105 :rule cong :premises (@p104) :args ((forall @t16 (=> @t31 @t169)))) % 281.55/281.74 (step @p106 :rule bool-and-de-morgan :args (@t72 @t71 true)) % 281.55/281.74 (step @p107 :rule cong :premises (@p106) :args (@t218)) % 281.55/281.74 (step @p108 :rule cong :premises (@p107) :args (@t219)) % 281.55/281.74 (step @p109 :rule exists-elim :args ((= @t75 @t219))) % 281.55/281.74 (step @p110 :rule trans :premises (@p109 @p108)) % 281.55/281.74 (step @p111 :rule refl :args (@t31)) % 281.55/281.74 (step @p112 :rule cong :premises (@p111 @p110) :args (@t76)) % 281.55/281.74 (step @p113 :rule cong :premises (@p112) :args (@t77)) % 281.55/281.74 (step @p114 :rule trans :premises (@p113 @p105)) % 281.55/281.74 (step @p115 :rule refl :args (@t78)) % 281.55/281.74 (step @p116 :rule cong :premises (@p115 @p114) :args (@t79)) % 281.55/281.74 (step @p117 :rule cong :premises (@p116) :args (@t80)) % 281.55/281.74 (step @p118 :rule eq_resolve :premises (@p18 @p117)) % 281.55/281.74 (step @p119 :rule eq_resolve :premises (@p118 @p103)) % 281.55/281.74 (step @p120 :rule ho_cong :premises (@p119 @p95 @p94 @p93)) % 281.55/281.74 ; trust TRUST SUBS_EQ % 281.55/281.74 (step @p121 :rule trust :premises () :args ((= (forall @t39 (= @t68 @t174)) (= tptp.injective @t198)))) % 281.55/281.74 (step @p122 :rule aci_norm :args ((= (or @t221 @t220) @t173))) % 281.55/281.74 (step @p123 :rule aci_norm :args ((= (or (or @t172 @t171) @t58) @t220))) % 281.55/281.74 (step @p124 :rule refl :args (@t58)) % 281.55/281.74 (step @p125 :rule bool-and-de-morgan :args (@t60 @t59 true)) % 281.55/281.74 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t61) @t58))) % 281.55/281.74 (step @p127 :rule trans :premises (@p126 @p123)) % 281.55/281.74 (step @p128 :rule bool-impl-elim :args (@t61 @t58)) % 281.55/281.74 (step @p129 :rule trans :premises (@p128 @p127)) % 281.55/281.74 (step @p130 :rule aci_norm :args ((= (or @t124 (or @t123 @t119)) @t221))) % 281.55/281.74 (step @p131 :rule bool-and-de-morgan :args (@t63 @t31 true)) % 281.55/281.74 (step @p132 :rule refl :args (@t124)) % 281.55/281.74 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t124 (not (and @t63 @t31))))) % 281.55/281.74 (step @p134 :rule bool-and-de-morgan :args (@t64 @t63 (and @t31))) % 281.55/281.74 (step @p135 :rule trans :premises (@p134 @p133)) % 281.55/281.74 (step @p136 :rule trans :premises (@p135 @p130)) % 281.55/281.74 (step @p137 :rule nary_cong :premises (@p136 @p129) :args ((or (not @t65) @t62))) % 281.55/281.74 (step @p138 :rule trans :premises (@p137 @p122)) % 281.55/281.74 (step @p139 :rule bool-impl-elim :args (@t65 @t62)) % 281.55/281.74 (step @p140 :rule trans :premises (@p139 @p138)) % 281.55/281.74 (step @p141 :rule cong :premises (@p140) :args (@t67)) % 281.55/281.74 (step @p142 :rule refl :args (@t68)) % 281.55/281.74 (step @p143 :rule cong :premises (@p142 @p141) :args (@t69)) % 281.55/281.74 (step @p144 :rule cong :premises (@p143) :args (@t70)) % 281.55/281.74 (step @p145 :rule eq_resolve :premises (@p17 @p144)) % 281.55/281.74 (step @p146 :rule eq_resolve :premises (@p145 @p121)) % 281.55/281.74 (step @p147 :rule ho_cong :premises (@p146 @p95 @p94 @p93)) % 281.55/281.74 (step @p148 :rule nary_cong :premises (@p147 @p120) :args (@t81)) % 281.55/281.74 (step @p149 :rule cong :premises (@p100 @p148) :args (@t83)) % 281.55/281.74 (step @p150 :rule cong :premises (@p149) :args (@t84)) % 281.55/281.74 (step @p151 :rule trans :premises (@p150 @p102)) % 281.55/281.74 (step @p152 :rule eq_resolve :premises (@p19 @p151)) % 281.55/281.74 (step @p153 :rule eq_resolve :premises (@p152 @p96)) % 281.55/281.74 (step @p154 :rule ho_cong :premises (@p153 @p95 @p94 @p93)) % 281.55/281.74 (step @p155 :rule refl :args (@t47)) % 281.55/281.74 (step @p156 :rule refl :args (@t96)) % 281.55/281.74 (step @p157 :rule ho_cong :premises (@p119 @p156 @p155 @p155)) % 281.55/281.74 (step @p158 :rule cong :premises (@p157) :args (@t222)) % 281.55/281.74 (step @p159 :rule refl :args (@t98)) % 281.55/281.74 (step @p160 :rule ho_cong :premises (@p119 @p159 @p93 @p93)) % 281.55/281.74 (step @p161 :rule cong :premises (@p160) :args (@t223)) % 281.55/281.74 (step @p162 :rule refl :args (@t100)) % 281.55/281.74 (step @p163 :rule ho_cong :premises (@p146 @p162 @p94 @p94)) % 281.55/281.74 (step @p164 :rule cong :premises (@p163) :args (@t224)) % 281.55/281.74 (step @p165 :rule refl :args (@t46)) % 281.55/281.74 ; trust TRUST SUBS_EQ % 281.55/281.74 (step @p166 :rule trust :premises () :args ((= (forall @t39 (= @t37 @t179)) (= tptp.maps @t205)))) % 281.55/281.74 (step @p167 :rule aci_norm :args ((= (or @t226 @t225) @t142))) % 281.55/281.74 (step @p168 :rule aci_norm :args ((= (or (or @t138 @t137) @t19) @t225))) % 281.55/281.74 (step @p169 :rule refl :args (@t19)) % 281.55/281.74 (step @p170 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 281.55/281.74 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t23) @t19))) % 281.55/281.74 (step @p172 :rule trans :premises (@p171 @p168)) % 281.55/281.74 (step @p173 :rule bool-impl-elim :args (@t23 @t19)) % 281.55/281.74 (step @p174 :rule trans :premises (@p173 @p172)) % 281.55/281.74 (step @p175 :rule aci_norm :args ((= (or @t141 (or @t140 @t139)) @t226))) % 281.55/281.74 (step @p176 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 281.55/281.74 (step @p177 :rule refl :args (@t141)) % 281.55/281.74 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t141 (not (and @t26 @t25))))) % 281.55/281.74 (step @p179 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 281.55/281.74 (step @p180 :rule trans :premises (@p179 @p178)) % 281.55/281.74 (step @p181 :rule trans :premises (@p180 @p175)) % 281.55/281.74 (step @p182 :rule nary_cong :premises (@p181 @p174) :args ((or (not @t27) @t24))) % 281.55/281.74 (step @p183 :rule trans :premises (@p182 @p167)) % 281.55/281.74 (step @p184 :rule bool-impl-elim :args (@t27 @t24)) % 281.55/281.74 (step @p185 :rule trans :premises (@p184 @p183)) % 281.55/281.74 (step @p186 :rule cong :premises (@p185) :args (@t29)) % 281.55/281.74 (step @p187 :rule bool-impl-elim :args (@t5 @t146)) % 281.55/281.74 (step @p188 :rule cong :premises (@p187) :args ((forall @t6 (=> @t5 @t146)))) % 281.55/281.74 (step @p189 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 281.55/281.74 (step @p190 :rule cong :premises (@p189) :args (@t227)) % 281.55/281.74 (step @p191 :rule cong :premises (@p190) :args (@t228)) % 281.55/281.74 (step @p192 :rule exists-elim :args ((= @t33 @t228))) % 281.55/281.74 (step @p193 :rule trans :premises (@p192 @p191)) % 281.55/281.74 (step @p194 :rule refl :args (@t5)) % 281.55/281.74 (step @p195 :rule cong :premises (@p194 @p193) :args (@t34)) % 281.55/281.74 (step @p196 :rule cong :premises (@p195) :args (@t35)) % 281.55/281.74 (step @p197 :rule trans :premises (@p196 @p188)) % 281.55/281.74 (step @p198 :rule nary_cong :premises (@p197 @p186) :args (@t36)) % 281.55/281.74 (step @p199 :rule refl :args (@t37)) % 281.55/281.74 (step @p200 :rule cong :premises (@p199 @p198) :args (@t38)) % 281.55/281.74 (step @p201 :rule cong :premises (@p200) :args (@t40)) % 281.55/281.74 (step @p202 :rule eq_resolve :premises (@p12 @p201)) % 281.55/281.74 (step @p203 :rule eq_resolve :premises (@p202 @p166)) % 281.55/281.74 (step @p204 :rule ho_cong :premises (@p203 @p165 @p155 @p94)) % 281.55/281.74 (step @p205 :rule cong :premises (@p204) :args (@t229)) % 281.55/281.74 (step @p206 :rule refl :args (@t42)) % 281.55/281.74 (step @p207 :rule ho_cong :premises (@p203 @p206 @p93 @p155)) % 281.55/281.74 (step @p208 :rule cong :premises (@p207) :args (@t230)) % 281.55/281.74 (step @p209 :rule ho_cong :premises (@p203 @p95 @p94 @p93)) % 281.55/281.74 (step @p210 :rule cong :premises (@p209) :args (@t231)) % 281.55/281.74 (step @p211 :rule nary_cong :premises (@p210 @p208 @p205 @p164 @p161 @p158 @p154) :args (@t232)) % 281.55/281.74 (step @p212 :rule cong :premises (@p211) :args (@t233)) % 281.55/281.74 (step @p213 :rule cong :premises (@p212) :args ((not @t233))) % 281.55/281.74 (step @p214 :rule trans :premises (@p213 @p92)) % 281.55/281.74 (step @p215 :rule aci_norm :args ((= (or @t234 @t82) @t232))) % 281.55/281.74 (step @p216 :rule refl :args (@t82)) % 281.55/281.74 (step @p217 :rule aci_norm :args ((= (or @t231 (or @t230 (or @t229 (or @t224 (or @t223 @t222))))) @t234))) % 281.55/281.74 (step @p218 :rule bool-and-de-morgan :args (@t99 @t97 true)) % 281.55/281.74 (step @p219 :rule refl :args (@t224)) % 281.55/281.74 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t224 (not (and @t99 @t97))))) % 281.55/281.74 (step @p221 :rule bool-and-de-morgan :args (@t101 @t99 (and @t97))) % 281.55/281.74 (step @p222 :rule trans :premises (@p221 @p220)) % 281.55/281.74 (step @p223 :rule refl :args (@t229)) % 281.55/281.74 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t229 (not (and @t101 @t99 @t97))))) % 281.55/281.74 (step @p225 :rule bool-and-de-morgan :args (@t102 @t101 (and @t99 @t97))) % 281.55/281.74 (step @p226 :rule trans :premises (@p225 @p224)) % 281.55/281.74 (step @p227 :rule refl :args (@t230)) % 281.55/281.74 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t230 (not (and @t102 @t101 @t99 @t97))))) % 281.55/281.74 (step @p229 :rule bool-and-de-morgan :args (@t103 @t102 (and @t101 @t99 @t97))) % 281.55/281.74 (step @p230 :rule trans :premises (@p229 @p228)) % 281.55/281.74 (step @p231 :rule refl :args (@t231)) % 281.55/281.74 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t231 (not (and @t103 @t102 @t101 @t99 @t97))))) % 281.55/281.74 (step @p233 :rule bool-and-de-morgan :args (@t37 @t103 (and @t102 @t101 @t99 @t97))) % 281.55/281.74 (step @p234 :rule trans :premises (@p233 @p232)) % 281.55/281.74 (step @p235 :rule trans :premises (@p234 @p217)) % 281.55/281.74 (step @p236 :rule nary_cong :premises (@p235 @p216) :args ((or (not @t104) @t82))) % 281.55/281.74 (step @p237 :rule trans :premises (@p236 @p215)) % 281.55/281.74 (step @p238 :rule bool-impl-elim :args (@t104 @t82)) % 281.55/281.74 (step @p239 :rule trans :premises (@p238 @p237)) % 281.55/281.74 (step @p240 :rule cong :premises (@p239) :args (@t106)) % 281.55/281.74 (step @p241 :rule cong :premises (@p240) :args (@t107)) % 281.55/281.74 (step @p242 :rule trans :premises (@p241 @p214)) % 281.55/281.74 (step @p243 :rule eq_resolve :premises (@p29 @p242)) % 281.55/281.74 (step @p244 :rule skolemize :premises (@p243)) % 281.55/281.74 (step @p245 :rule bool-double-not-elim :args (@t242)) % 281.55/281.74 (step @p246 :rule refl :args (@t273)) % 281.55/281.74 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or @t273 (not @t260)))) % 281.55/281.74 (step @p248 :rule cnf_or_neg :args (@t273 7)) % 281.55/281.74 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 281.55/281.74 (step @p250 :rule reordering :premises (@p249) :args ((or @t242 @t273))) % 281.55/281.74 (step @p251 :rule chain_m_resolution :premises (@p250 @p244) :args (@t242 @t274 @t275)) % 281.55/281.74 (step @p252 :rule instantiate :premises (@p251) :args ((@list @t152))) % 281.55/281.74 (step @p253 :rule cnf_or_pos :args (@t278)) % 281.55/281.74 (step @p254 :rule reordering :premises (@p253) :args ((or @t158 @t277 (not @t278)))) % 281.55/281.74 (step @p255 :rule refl :args (@t285)) % 281.55/281.74 (step @p256 :rule bool-double-not-elim :args (@t276)) % 281.55/281.74 (step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or (not @t277) @t285))) % 281.55/281.74 (assume-push @p535 @t277) % 281.55/281.74 (step @p259 :rule skolemize :premises (@p535)) % 281.55/281.74 (step-pop @p536 :rule scope :premises (@p259)) % 281.55/281.74 (step @p260 :rule process_scope :premises (@p536) :args (@t285)) % 281.55/281.74 (step @p262 :rule implies_elim :premises (@p260)) % 281.55/281.74 (step @p263 :rule eq_resolve :premises (@p262 @p257)) % 281.55/281.74 (step @p264 :rule bool-double-not-elim :args (@t282)) % 281.55/281.74 (step @p265 :rule refl :args (@t284)) % 281.55/281.74 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or @t284 (not @t283)))) % 281.55/281.74 (step @p267 :rule cnf_or_neg :args (@t284 0)) % 281.55/281.74 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 281.55/281.74 (step @p269 :rule reordering :premises (@p268) :args ((or @t282 @t284))) % 281.55/281.74 (step @p270 :rule bool-double-not-elim :args (@t280)) % 281.55/281.74 (step @p271 :rule nary_cong :premises (@p265 @p270) :args ((or @t284 (not @t281)))) % 281.55/281.74 (step @p272 :rule cnf_or_neg :args (@t284 1)) % 281.55/281.74 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 281.55/281.74 (step @p274 :rule reordering :premises (@p273) :args ((or @t280 @t284))) % 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@p459 :rule bool-double-not-elim :args (@t340)) % 281.55/281.74 (step @p460 :rule refl :args (@t342)) % 281.55/281.74 (step @p461 :rule refl :args (@t347)) % 281.55/281.74 (step @p462 :rule nary_cong :premises (@p461 @p460 @p459) :args ((or @t347 @t342 (not @t341)))) % 281.55/281.74 (step @p463 :rule cnf_equiv_pos2 :args (@t343)) % 281.55/281.74 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 281.55/281.74 (step @p465 :rule reordering :premises (@p464) :args ((or @t342 @t340 @t347))) % 281.55/281.74 (step @p466 :rule chain_m_resolution :premises (@p465 @p458 @p437) :args (@t342 @t305 (@list @t340 @t343))) % 281.55/281.74 (step @p467 :rule cnf_or_pos :args (@t349)) % 281.55/281.74 (step @p468 :rule reordering :premises (@p467) :args ((or @t317 @t348 @t326 @t350))) % 281.55/281.74 (step @p469 :rule chain_m_resolution :premises (@p468 @p394 @p466 @p433) :args (@t350 @t338 (@list @t316 @t342 @t325))) % 281.55/281.74 (assume-push @p547 @t333) % 281.55/281.74 (step @p471 :rule instantiate :premises (@p547) :args (@t309)) % 281.55/281.74 (step-pop @p548 :rule scope :premises (@p471)) % 281.55/281.74 (step @p472 :rule process_scope :premises (@p548) :args (@t349)) % 281.55/281.74 (step @p474 :rule implies_elim :premises (@p472)) % 281.55/281.74 (step @p475 :rule chain_m_resolution :premises (@p474 @p469) :args (@t334 @t274 (@list @t349))) % 281.55/281.74 (step @p476 :rule bool-double-not-elim :args (@t333)) % 281.55/281.74 (step @p477 :rule refl :args (@t335)) % 281.55/281.74 (step @p478 :rule refl :args (@t351)) % 281.55/281.74 (step @p479 :rule nary_cong :premises (@p478 @p477 @p476) :args ((or @t351 @t335 (not @t334)))) % 281.55/281.74 (step @p480 :rule cnf_equiv_pos2 :args (@t336)) % 281.55/281.74 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 281.55/281.74 (step @p482 :rule reordering :premises (@p481) :args ((or @t335 @t333 @t351))) % 281.55/281.74 (step @p483 :rule chain_m_resolution :premises (@p482 @p475 @p427) :args (@t335 @t305 (@list @t333 @t336))) % 281.55/281.74 (step @p484 :rule instantiate :premises (@p304) :args ((@list @t237 @t261 @t155 @t235 @t155 @t243 @t324))) % 281.55/281.74 (step @p485 :rule cnf_or_pos :args (@t356)) % 281.55/281.74 (step @p486 :rule reordering :premises (@p485) :args ((or @t254 @t328 @t355 (not @t356)))) % 281.55/281.74 (step @p487 :rule chain_m_resolution :premises (@p486 @p354 @p414 @p484) :args (@t355 @t338 (@list @t253 @t327 @t356))) % 281.55/281.74 (step @p488 :rule instantiate :premises (@p304) :args ((@list @t236 @t154 @t155 @t151 @t235 @t243 @t308))) % 281.55/281.74 (step @p489 :rule cnf_or_pos :args (@t361)) % 281.55/281.74 (step @p490 :rule reordering :premises (@p489) :args ((or @t254 @t317 @t360 (not @t361)))) % 281.55/281.74 (step @p491 :rule chain_m_resolution :premises (@p490 @p354 @p394 @p488) :args (@t360 @t338 (@list @t253 @t316 @t361))) % 281.55/281.74 (step @p492 :rule bool-double-not-elim :args (@t247)) % 281.55/281.74 (step @p493 :rule nary_cong :premises (@p343 @p492) :args ((or @t257 (not @t248)))) % 281.55/281.74 (step @p494 :rule cnf_or_neg :args (@t257 4)) % 281.55/281.74 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 281.55/281.74 (step @p496 :rule reordering :premises (@p495) :args ((or @t247 @t257))) % 281.55/281.74 (step @p497 :rule chain_m_resolution :premises (@p496 @p341) :args (@t247 @t274 @t306)) % 281.55/281.74 (step @p498 :rule cnf_or_pos :args (@t362)) % 281.55/281.74 (step @p499 :rule reordering :premises (@p498) :args ((or @t252 @t248 @t315 @t363))) % 281.55/281.74 (step @p500 :rule chain_m_resolution :premises (@p499 @p374 @p497 @p443) :args (@t363 @t338 (@list @t251 @t247 @t314))) % 281.55/281.74 (assume-push @p549 @t357) % 281.55/281.74 (step @p502 :rule instantiate :premises (@p549) :args (@t310)) % 281.55/281.74 (step-pop @p550 :rule scope :premises (@p502)) % 281.55/281.74 (step @p503 :rule process_scope :premises (@p550) :args (@t362)) % 281.55/281.74 (step @p505 :rule implies_elim :premises (@p503)) % 281.55/281.74 (step @p506 :rule chain_m_resolution :premises (@p505 @p500) :args (@t358 @t274 (@list @t362))) % 281.55/281.74 (step @p507 :rule bool-double-not-elim :args (@t357)) % 281.55/281.74 (step @p508 :rule refl :args (@t359)) % 281.55/281.74 (step @p509 :rule refl :args (@t364)) % 281.55/281.74 (step @p510 :rule nary_cong :premises (@p509 @p508 @p507) :args ((or @t364 @t359 (not @t358)))) % 281.55/281.74 (step @p511 :rule cnf_equiv_pos2 :args (@t360)) % 281.55/281.74 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 281.55/281.74 (step @p513 :rule reordering :premises (@p512) :args ((or @t359 @t357 @t364))) % 281.55/281.74 (step @p514 :rule chain_m_resolution :premises (@p513 @p506 @p491) :args (@t359 @t305 (@list @t357 @t360))) % 281.55/281.74 (step @p515 :rule cnf_or_pos :args (@t366)) % 281.55/281.74 (step @p516 :rule reordering :premises (@p515) :args ((or @t317 @t365 @t326 @t367))) % 281.55/281.74 (step @p517 :rule chain_m_resolution :premises (@p516 @p394 @p514 @p433) :args (@t367 @t338 (@list @t316 @t359 @t325))) % 281.55/281.74 (assume-push @p551 @t352) % 281.55/281.74 (step @p519 :rule instantiate :premises (@p551) :args (@t309)) % 281.55/281.74 (step-pop @p552 :rule scope :premises (@p519)) % 281.55/281.74 (step @p520 :rule process_scope :premises (@p552) :args (@t366)) % 281.55/281.74 (step @p522 :rule implies_elim :premises (@p520)) % 281.55/281.74 (step @p523 :rule chain_m_resolution :premises (@p522 @p517) :args (@t353 @t274 (@list @t366))) % 281.55/281.74 (step @p524 :rule bool-double-not-elim :args (@t352)) % 281.55/281.74 (step @p525 :rule refl :args (@t354)) % 281.55/281.74 (step @p526 :rule refl :args (@t368)) % 281.55/281.74 (step @p527 :rule nary_cong :premises (@p526 @p525 @p524) :args ((or @t368 @t354 (not @t353)))) % 281.55/281.74 (step @p528 :rule cnf_equiv_pos2 :args (@t355)) % 281.55/281.74 (step @p529 :rule eq_resolve :premises (@p528 @p527)) % 281.55/281.74 (step @p530 :rule reordering :premises (@p529) :args ((or @t354 @t352 @t368))) % 281.55/281.74 (step @p531 :rule chain_m_resolution :premises (@p530 @p523 @p487) :args (@t354 @t305 (@list @t352 @t355))) % 281.55/281.74 (step @p532 :rule cnf_or_pos :args (@t371)) % 281.55/281.74 (step @p533 :rule reordering :premises (@p532) :args ((or @t256 @t254 @t245 @t328 @t370 @t369 (not @t371)))) % 281.55/281.74 (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 @t354 @t335 @t371 @t245 @t327 @t253 @t255))) % 281.55/281.74 ) % 281.55/281.74 % SZS output end Proof % 281.55/281.74 % cvc5 exiting %------------------------------------------------------------------------------