%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET662+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:48:23 AM UTC 2026 % Result : Theorem 128.87s 129.06s % Output : Proof 128.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET662+3 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:05:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 128.87/129.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 128.87/129.06 --- Run --no-e-matching --full-saturate-quant at 6... % 128.87/129.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 128.87/129.06 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 128.87/129.06 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 128.87/129.06 --- Run --trigger-sel=max --full-saturate-quant at 15... % 128.87/129.06 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 128.87/129.06 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.87/129.06 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.87/129.06 % SZS status Theorem % 128.87/129.06 % SZS output start Proof % 128.87/129.06 ( % 128.87/129.06 (declare-sort $$unsorted 0) % 128.87/129.06 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 128.87/129.06 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 128.87/129.06 (declare-const tptp.empty_set $$unsorted) % 128.87/129.06 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 128.87/129.06 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 128.87/129.06 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 128.87/129.06 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 128.87/129.06 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 128.87/129.06 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 128.87/129.06 (declare-const tptp.empty (-> $$unsorted Bool)) % 128.87/129.06 (declare-const tptp.type (-> $$unsorted $$unsorted Bool)) % 128.87/129.06 (declare-const tptp.set_type $$unsorted) % 128.87/129.06 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 128.87/129.06 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 128.87/129.06 (define @t1 () (@var "C" $$unsorted)) % 128.87/129.06 (define @t2 () (@var "B" $$unsorted)) % 128.87/129.06 (define @t3 () (tptp.cross_product @t2 @t1)) % 128.87/129.06 (define @t4 () (tptp.subset tptp.empty_set @t3)) % 128.87/129.06 (define @t5 () (tptp.ilf_type @t1 tptp.set_type)) % 128.87/129.06 (define @t6 () (@list @t1)) % 128.87/129.06 (define @t7 () (forall @t6 (=> @t5 @t4))) % 128.87/129.06 (define @t8 () (tptp.ilf_type @t2 tptp.set_type)) % 128.87/129.06 (define @t9 () (=> @t8 @t7)) % 128.87/129.06 (define @t10 () (@list @t2)) % 128.87/129.06 (define @t11 () (forall @t10 @t9)) % 128.87/129.06 (define @t12 () (tptp.subset_type @t3)) % 128.87/129.06 (define @t13 () (@var "E" $$unsorted)) % 128.87/129.06 (define @t14 () (tptp.ilf_type @t13 @t12)) % 128.87/129.06 (define @t15 () (tptp.relation_type @t2 @t1)) % 128.87/129.06 (define @t16 () (tptp.ilf_type @t13 @t15)) % 128.87/129.06 (define @t17 () (@list @t13)) % 128.87/129.06 (define @t18 () (forall @t17 (=> @t16 @t14))) % 128.87/129.06 (define @t19 () (@var "D" $$unsorted)) % 128.87/129.06 (define @t20 () (tptp.ilf_type @t19 @t15)) % 128.87/129.06 (define @t21 () (tptp.ilf_type @t19 @t12)) % 128.87/129.06 (define @t22 () (@list @t19)) % 128.87/129.06 (define @t23 () (forall @t22 (=> @t21 @t20))) % 128.87/129.06 (define @t24 () (and @t23 @t18)) % 128.87/129.06 (define @t25 () (=> @t5 @t24)) % 128.87/129.06 (define @t26 () (forall @t6 @t25)) % 128.87/129.06 (define @t27 () (=> @t8 @t26)) % 128.87/129.06 (define @t28 () (forall @t10 @t27)) % 128.87/129.06 (define @t29 () (tptp.ilf_type @t3 tptp.set_type)) % 128.87/129.06 (define @t30 () (forall @t6 (=> @t5 @t29))) % 128.87/129.06 (define @t31 () (=> @t8 @t30)) % 128.87/129.06 (define @t32 () (forall @t10 @t31)) % 128.87/129.06 (define @t33 () (tptp.power_set @t2)) % 128.87/129.06 (define @t34 () (tptp.ilf_type @t1 (tptp.subset_type @t2))) % 128.87/129.06 (define @t35 () (= @t34 (tptp.ilf_type @t1 (tptp.member_type @t33)))) % 128.87/129.06 (define @t36 () (forall @t6 (=> @t5 @t35))) % 128.87/129.06 (define @t37 () (=> @t8 @t36)) % 128.87/129.06 (define @t38 () (forall @t10 @t37)) % 128.87/129.06 (define @t39 () (tptp.member @t19 @t1)) % 128.87/129.06 (define @t40 () (tptp.member @t19 @t2)) % 128.87/129.06 (define @t41 () (=> @t40 @t39)) % 128.87/129.06 (define @t42 () (tptp.ilf_type @t19 tptp.set_type)) % 128.87/129.06 (define @t43 () (forall @t22 (=> @t42 @t41))) % 128.87/129.06 (define @t44 () (tptp.subset @t2 @t1)) % 128.87/129.06 (define @t45 () (= @t44 @t43)) % 128.87/129.06 (define @t46 () (=> @t5 @t45)) % 128.87/129.06 (define @t47 () (forall @t6 @t46)) % 128.87/129.06 (define @t48 () (=> @t8 @t47)) % 128.87/129.06 (define @t49 () (forall @t10 @t48)) % 128.87/129.06 (define @t50 () (tptp.member @t1 @t2)) % 128.87/129.06 (define @t51 () (tptp.empty @t2)) % 128.87/129.06 (define @t52 () (tptp.power_set @t1)) % 128.87/129.06 (define @t53 () (tptp.member @t2 @t52)) % 128.87/129.06 (define @t54 () (=> @t5 (= @t53 @t43))) % 128.87/129.06 (define @t55 () (forall @t6 @t54)) % 128.87/129.06 (define @t56 () (=> @t8 @t55)) % 128.87/129.06 (define @t57 () (forall @t10 @t56)) % 128.87/129.06 (define @t58 () (and (not (tptp.empty @t33)) (tptp.ilf_type @t33 tptp.set_type))) % 128.87/129.06 (define @t59 () (forall @t10 (=> @t8 @t58))) % 128.87/129.06 (define @t60 () (tptp.member_type @t1)) % 128.87/129.06 (define @t61 () (= (tptp.ilf_type @t2 @t60) (tptp.member @t2 @t1))) % 128.87/129.06 (define @t62 () (tptp.empty @t1)) % 128.87/129.06 (define @t63 () (not @t62)) % 128.87/129.06 (define @t64 () (and @t63 @t5)) % 128.87/129.06 (define @t65 () (forall @t6 (=> @t64 @t61))) % 128.87/129.06 (define @t66 () (=> @t8 @t65)) % 128.87/129.06 (define @t67 () (forall @t10 @t66)) % 128.87/129.06 (define @t68 () (tptp.relation_like @t2)) % 128.87/129.06 (define @t69 () (tptp.ilf_type tptp.empty_set @t15)) % 128.87/129.06 (define @t70 () (forall @t6 (=> @t5 @t69))) % 128.87/129.06 (define @t71 () (=> @t8 @t70)) % 128.87/129.06 (define @t72 () (forall @t10 @t71)) % 128.87/129.06 (define @t73 () (not @t72)) % 128.87/129.06 (define @t74 () (not @t40)) % 128.87/129.06 (define @t75 () (not @t42)) % 128.87/129.06 (define @t76 () (or @t75 @t74 @t39)) % 128.87/129.06 (define @t77 () (forall @t22 @t76)) % 128.87/129.06 (define @t78 () (= @t53 @t77)) % 128.87/129.06 (define @t79 () (not @t5)) % 128.87/129.06 (define @t80 () (forall @t6 (or @t79 @t78))) % 128.87/129.06 (define @t81 () (tptp.member tptp.empty_set @t52)) % 128.87/129.06 (define @t82 () (not (tptp.member @t19 tptp.empty_set))) % 128.87/129.06 (define @t83 () (forall @t22 (or @t75 @t82 @t39))) % 128.87/129.06 (define @t84 () (or @t79 (= @t81 @t83))) % 128.87/129.06 (define @t85 () (forall @t6 @t84)) % 128.87/129.06 (define @t86 () (tptp.ilf_type tptp.empty_set tptp.set_type)) % 128.87/129.06 (define @t87 () (not @t86)) % 128.87/129.06 (define @t88 () (or @t87 @t85)) % 128.87/129.06 (define @t89 () (not @t8)) % 128.87/129.06 (define @t90 () (forall @t10 (or @t89 @t80))) % 128.87/129.06 (define @t91 () (@list tptp.empty_set)) % 128.87/129.06 (define @t92 () (forall @t6 (or @t79 (= @t83 @t81)))) % 128.87/129.06 (define @t93 () (or @t87 @t92)) % 128.87/129.06 (define @t94 () (@list false)) % 128.87/129.06 (define @t95 () (@list false false)) % 128.87/129.06 (define @t96 () (forall @t6 (or @t79 @t69))) % 128.87/129.06 (define @t97 () (@quantifiers_skolemize (forall @t10 (or @t89 @t96)) 0)) % 128.87/129.06 (define @t98 () (tptp.relation_type @t97 @t1)) % 128.87/129.06 (define @t99 () (forall @t6 (or @t79 (tptp.ilf_type tptp.empty_set @t98)))) % 128.87/129.06 (define @t100 () (@quantifiers_skolemize @t99 0)) % 128.87/129.06 (define @t101 () (tptp.cross_product @t97 @t100)) % 128.87/129.06 (define @t102 () (@list @t101)) % 128.87/129.06 (define @t103 () (forall @t6 (or @t79 @t29))) % 128.87/129.06 (define @t104 () (@list @t97)) % 128.87/129.06 (define @t105 () (tptp.ilf_type @t97 tptp.set_type)) % 128.87/129.06 (define @t106 () (not @t105)) % 128.87/129.06 (define @t107 () (or @t106 @t99)) % 128.87/129.06 (define @t108 () (@list true)) % 128.87/129.06 (define @t109 () (@list @t107)) % 128.87/129.06 (define @t110 () (tptp.cross_product @t97 @t1)) % 128.87/129.06 (define @t111 () (forall @t6 (or @t79 (tptp.ilf_type @t110 tptp.set_type)))) % 128.87/129.06 (define @t112 () (or @t106 @t111)) % 128.87/129.06 (define @t113 () (@list @t100)) % 128.87/129.06 (define @t114 () (tptp.ilf_type @t100 tptp.set_type)) % 128.87/129.06 (define @t115 () (tptp.relation_type @t97 @t100)) % 128.87/129.06 (define @t116 () (tptp.ilf_type tptp.empty_set @t115)) % 128.87/129.06 (define @t117 () (not @t114)) % 128.87/129.06 (define @t118 () (or @t117 @t116)) % 128.87/129.06 (define @t119 () (@list @t118)) % 128.87/129.06 (define @t120 () (tptp.ilf_type @t101 tptp.set_type)) % 128.87/129.06 (define @t121 () (or @t117 @t120)) % 128.87/129.06 (define @t122 () (tptp.power_set @t101)) % 128.87/129.06 (define @t123 () (tptp.member tptp.empty_set @t122)) % 128.87/129.06 (define @t124 () (forall @t22 (or @t75 @t82 (tptp.member @t19 @t101)))) % 128.87/129.06 (define @t125 () (= @t124 @t123)) % 128.87/129.06 (define @t126 () (not @t120)) % 128.87/129.06 (define @t127 () (or @t126 @t125)) % 128.87/129.06 (define @t128 () (= @t44 @t77)) % 128.87/129.06 (define @t129 () (forall @t6 (or @t79 @t128))) % 128.87/129.06 (define @t130 () (forall @t6 (or @t79 (= (tptp.subset tptp.empty_set @t1) @t83)))) % 128.87/129.06 (define @t131 () (or @t87 @t130)) % 128.87/129.06 (define @t132 () (tptp.subset tptp.empty_set @t101)) % 128.87/129.06 (define @t133 () (= @t132 @t124)) % 128.87/129.06 (define @t134 () (or @t126 @t133)) % 128.87/129.06 (define @t135 () (forall @t6 (or @t79 @t4))) % 128.87/129.06 (define @t136 () (forall @t6 (or @t79 (tptp.subset tptp.empty_set @t110)))) % 128.87/129.06 (define @t137 () (or @t106 @t136)) % 128.87/129.06 (define @t138 () (or @t117 @t132)) % 128.87/129.06 (define @t139 () (forall @t6 (or @t79 @t35))) % 128.87/129.06 (define @t140 () (tptp.member_type @t122)) % 128.87/129.06 (define @t141 () (tptp.subset_type @t101)) % 128.87/129.06 (define @t142 () (forall @t6 (or @t79 (= (tptp.ilf_type @t1 @t141) (tptp.ilf_type @t1 @t140))))) % 128.87/129.06 (define @t143 () (or @t126 @t142)) % 128.87/129.06 (define @t144 () (tptp.ilf_type tptp.empty_set @t140)) % 128.87/129.06 (define @t145 () (tptp.ilf_type tptp.empty_set @t141)) % 128.87/129.06 (define @t146 () (= @t145 @t144)) % 128.87/129.06 (define @t147 () (or @t87 @t146)) % 128.87/129.06 (define @t148 () (and (forall @t22 (or (not @t21) @t20)) (forall @t17 (or (not @t16) @t14)))) % 128.87/129.06 (define @t149 () (forall @t6 (or @t79 @t148))) % 128.87/129.06 (define @t150 () (tptp.subset_type @t110)) % 128.87/129.06 (define @t151 () (forall @t6 (or @t79 (and (forall @t22 (or (not (tptp.ilf_type @t19 @t150)) (tptp.ilf_type @t19 @t98))) (forall @t17 (or (not (tptp.ilf_type @t13 @t98)) (tptp.ilf_type @t13 @t150))))))) % 128.87/129.06 (define @t152 () (or @t106 @t151)) % 128.87/129.06 (define @t153 () (forall @t22 (or (not (tptp.ilf_type @t19 @t141)) (tptp.ilf_type @t19 @t115)))) % 128.87/129.06 (define @t154 () (and @t153 (forall @t17 (or (not (tptp.ilf_type @t13 @t115)) (tptp.ilf_type @t13 @t141))))) % 128.87/129.06 (define @t155 () (or @t117 @t154)) % 128.87/129.06 (define @t156 () (not @t145)) % 128.87/129.06 (define @t157 () (or @t156 @t116)) % 128.87/129.06 (define @t158 () (@list true false)) % 128.87/129.06 (define @t159 () (not @t144)) % 128.87/129.06 (define @t160 () (or @t62 @t79 @t61)) % 128.87/129.06 (define @t161 () (forall @t6 @t160)) % 128.87/129.06 (define @t162 () (forall @t6 (or @t62 @t79 (= (tptp.ilf_type tptp.empty_set @t60) (tptp.member tptp.empty_set @t1))))) % 128.87/129.06 (define @t163 () (or @t87 @t162)) % 128.87/129.06 (define @t164 () (tptp.ilf_type @t122 tptp.set_type)) % 128.87/129.06 (define @t165 () (not @t164)) % 128.87/129.06 (define @t166 () (tptp.empty @t122)) % 128.87/129.06 (define @t167 () (or @t166 @t165 (= @t144 @t123))) % 128.87/129.06 (define @t168 () (= @t123 @t144)) % 128.87/129.06 (define @t169 () (or @t166 @t165 @t168)) % 128.87/129.06 (define @t170 () (not @t166)) % 128.87/129.06 (define @t171 () (and @t170 @t164)) % 128.87/129.06 (define @t172 () (or @t126 @t171)) % 128.87/129.06 (define @t173 () (not @t171)) % 128.87/129.06 (define @t174 () (@list @t171)) % 128.87/129.06 (assume @p1 @t11) % 128.87/129.06 (assume @p2 @t28) % 128.87/129.06 (assume @p3 (forall @t10 (=> @t8 (forall @t6 (=> @t5 (exists @t22 (tptp.ilf_type @t19 (tptp.relation_type @t1 @t2)))))))) % 128.87/129.06 (assume @p4 (forall @t10 (=> @t8 (not (tptp.member @t2 tptp.empty_set))))) % 128.87/129.06 (assume @p5 (tptp.empty tptp.empty_set)) % 128.87/129.06 (assume @p6 (tptp.type tptp.empty_set tptp.set_type)) % 128.87/129.06 (assume @p7 @t32) % 128.87/129.06 (assume @p8 @t38) % 128.87/129.06 (assume @p9 (forall @t10 (=> @t8 (exists @t6 @t34)))) % 128.87/129.06 (assume @p10 @t49) % 128.87/129.06 (assume @p11 (forall @t10 (=> @t8 (tptp.subset @t2 @t2)))) % 128.87/129.06 (assume @p12 (forall @t10 (=> @t8 (= @t51 (forall @t6 (=> @t5 (not @t50))))))) % 128.87/129.06 (assume @p13 @t57) % 128.87/129.06 (assume @p14 @t59) % 128.87/129.06 (assume @p15 @t67) % 128.87/129.06 (assume @p16 (forall @t10 (=> (and (not @t51) @t8) (exists @t6 (tptp.ilf_type @t1 (tptp.member_type @t2)))))) % 128.87/129.06 (assume @p17 (forall @t10 (=> @t8 (= @t68 (forall @t6 (=> @t5 (=> @t50 (exists @t22 (and @t42 (exists @t17 (and (tptp.ilf_type @t13 tptp.set_type) (= @t1 (tptp.ordered_pair @t19 @t13))))))))))))) % 128.87/129.06 (assume @p18 (forall @t10 (=> (and @t51 @t8) @t68))) % 128.87/129.06 (assume @p19 (forall @t10 (=> @t8 (forall @t6 (=> @t5 (forall @t22 (=> @t21 (tptp.relation_like @t19)))))))) % 128.87/129.06 (assume @p20 (forall @t10 (=> @t8 (forall @t6 (=> @t5 (tptp.ilf_type (tptp.ordered_pair @t2 @t1) tptp.set_type)))))) % 128.87/129.06 (assume @p21 (forall @t10 @t8)) % 128.87/129.06 (assume @p22 @t73) % 128.87/129.06 (assume @p23 true) % 128.87/129.06 (step @p24 :rule bool-impl-elim :args (@t8 @t80)) % 128.87/129.06 (step @p25 :rule cong :premises (@p24) :args ((forall @t10 (=> @t8 @t80)))) % 128.87/129.06 (step @p26 :rule bool-impl-elim :args (@t5 @t78)) % 128.87/129.06 (step @p27 :rule cong :premises (@p26) :args ((forall @t6 (=> @t5 @t78)))) % 128.87/129.06 (step @p28 :rule eq-symm :args (@t77 @t53)) % 128.87/129.06 (step @p29 :rule refl :args (@t53)) % 128.87/129.06 (step @p30 :rule aci_norm :args ((= (or @t75 (or @t74 @t39)) @t76))) % 128.87/129.06 (step @p31 :rule bool-impl-elim :args (@t40 @t39)) % 128.87/129.06 (step @p32 :rule refl :args (@t75)) % 128.87/129.06 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t75 @t41))) % 128.87/129.06 (step @p34 :rule trans :premises (@p33 @p30)) % 128.87/129.06 (step @p35 :rule bool-impl-elim :args (@t42 @t41)) % 128.87/129.06 (step @p36 :rule trans :premises (@p35 @p34)) % 128.87/129.06 (step @p37 :rule cong :premises (@p36) :args (@t43)) % 128.87/129.06 (step @p38 :rule cong :premises (@p37 @p29) :args ((= @t43 @t53))) % 128.87/129.06 (step @p39 :rule trans :premises (@p38 @p28)) % 128.87/129.06 (step @p40 :rule eq-symm :args (@t53 @t43)) % 128.87/129.06 (step @p41 :rule trans :premises (@p40 @p39)) % 128.87/129.06 (step @p42 :rule refl :args (@t5)) % 128.87/129.06 (step @p43 :rule cong :premises (@p42 @p41) :args (@t54)) % 128.87/129.06 (step @p44 :rule cong :premises (@p43) :args (@t55)) % 128.87/129.06 (step @p45 :rule trans :premises (@p44 @p27)) % 128.87/129.06 (step @p46 :rule refl :args (@t8)) % 128.87/129.06 (step @p47 :rule cong :premises (@p46 @p45) :args (@t56)) % 128.87/129.06 (step @p48 :rule cong :premises (@p47) :args (@t57)) % 128.87/129.06 (step @p49 :rule trans :premises (@p48 @p25)) % 128.87/129.06 (step @p50 :rule eq_resolve :premises (@p13 @p49)) % 128.87/129.06 (step @p51 :rule eq-symm :args (@t81 @t83)) % 128.87/129.06 (step @p52 :rule refl :args (@t79)) % 128.87/129.06 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t84)) % 128.87/129.06 (step @p54 :rule cong :premises (@p53) :args (@t85)) % 128.87/129.06 (step @p55 :rule refl :args (@t87)) % 128.87/129.06 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t88)) % 128.87/129.06 (step @p57 :rule refl :args (@t90)) % 128.87/129.06 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t90 @t88))) % 128.87/129.06 (assume-push @p266 @t90) % 128.87/129.06 (step @p60 :rule instantiate :premises (@p50) :args (@t91)) % 128.87/129.06 (step-pop @p267 :rule scope :premises (@p60)) % 128.87/129.06 (step @p61 :rule process_scope :premises (@p267) :args (@t88)) % 128.87/129.06 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 128.87/129.06 (step @p64 :rule implies_elim :premises (@p63)) % 128.87/129.06 (step @p65 :rule chain_m_resolution :premises (@p64 @p50) :args (@t93 @t94 (@list @t90))) % 128.87/129.06 (step @p66 :rule instantiate :premises (@p21) :args (@t91)) % 128.87/129.06 (step @p67 :rule cnf_or_pos :args (@t93)) % 128.87/129.06 (step @p68 :rule reordering :premises (@p67) :args ((or @t87 @t92 (not @t93)))) % 128.87/129.06 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p65) :args (@t92 @t95 (@list @t86 @t93))) % 128.87/129.06 (step @p70 :rule instantiate :premises (@p69) :args (@t102)) % 128.87/129.06 (step @p71 :rule bool-impl-elim :args (@t8 @t103)) % 128.87/129.06 (step @p72 :rule cong :premises (@p71) :args ((forall @t10 (=> @t8 @t103)))) % 128.87/129.06 (step @p73 :rule bool-impl-elim :args (@t5 @t29)) % 128.87/129.06 (step @p74 :rule cong :premises (@p73) :args (@t30)) % 128.87/129.06 (step @p75 :rule cong :premises (@p46 @p74) :args (@t31)) % 128.87/129.06 (step @p76 :rule cong :premises (@p75) :args (@t32)) % 128.87/129.06 (step @p77 :rule trans :premises (@p76 @p72)) % 128.87/129.06 (step @p78 :rule eq_resolve :premises (@p7 @p77)) % 128.87/129.06 (step @p79 :rule instantiate :premises (@p78) :args (@t104)) % 128.87/129.06 (step @p80 :rule bool-impl-elim :args (@t8 @t96)) % 128.87/129.06 (step @p81 :rule cong :premises (@p80) :args ((forall @t10 (=> @t8 @t96)))) % 128.87/129.06 (step @p82 :rule bool-impl-elim :args (@t5 @t69)) % 128.87/129.06 (step @p83 :rule cong :premises (@p82) :args (@t70)) % 128.87/129.06 (step @p84 :rule cong :premises (@p46 @p83) :args (@t71)) % 128.87/129.06 (step @p85 :rule cong :premises (@p84) :args (@t72)) % 128.87/129.06 (step @p86 :rule trans :premises (@p85 @p81)) % 128.87/129.06 (step @p87 :rule cong :premises (@p86) :args (@t73)) % 128.87/129.06 (step @p88 :rule eq_resolve :premises (@p22 @p87)) % 128.87/129.06 (step @p89 :rule skolemize :premises (@p88)) % 128.87/129.06 (step @p90 :rule bool-double-not-elim :args (@t105)) % 128.87/129.06 (step @p91 :rule refl :args (@t107)) % 128.87/129.06 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t107 (not @t106)))) % 128.87/129.06 (step @p93 :rule cnf_or_neg :args (@t107 0)) % 128.87/129.06 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 128.87/129.06 (step @p95 :rule reordering :premises (@p94) :args ((or @t105 @t107))) % 128.87/129.06 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t105 @t108 @t109)) % 128.87/129.06 (step @p97 :rule cnf_or_pos :args (@t112)) % 128.87/129.06 (step @p98 :rule reordering :premises (@p97) :args ((or @t106 @t111 (not @t112)))) % 128.87/129.06 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p79) :args (@t111 @t95 (@list @t105 @t112))) % 128.87/129.06 (step @p100 :rule instantiate :premises (@p99) :args (@t113)) % 128.87/129.06 (step @p101 :rule cnf_or_neg :args (@t107 1)) % 128.87/129.06 (step @p102 :rule chain_m_resolution :premises (@p101 @p89) :args ((not @t99) @t108 @t109)) % 128.87/129.06 (step @p103 :rule skolemize :premises (@p102)) % 128.87/129.06 (step @p104 :rule bool-double-not-elim :args (@t114)) % 128.87/129.06 (step @p105 :rule refl :args (@t118)) % 128.87/129.06 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t118 (not @t117)))) % 128.87/129.06 (step @p107 :rule cnf_or_neg :args (@t118 0)) % 128.87/129.06 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 128.87/129.06 (step @p109 :rule reordering :premises (@p108) :args ((or @t114 @t118))) % 128.87/129.06 (step @p110 :rule chain_m_resolution :premises (@p109 @p103) :args (@t114 @t108 @t119)) % 128.87/129.06 (step @p111 :rule cnf_or_pos :args (@t121)) % 128.87/129.06 (step @p112 :rule reordering :premises (@p111) :args ((or @t117 @t120 (not @t121)))) % 128.87/129.06 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p100) :args (@t120 @t95 (@list @t114 @t121))) % 128.87/129.06 (step @p114 :rule cnf_or_pos :args (@t127)) % 128.87/129.06 (step @p115 :rule reordering :premises (@p114) :args ((or @t126 @t125 (not @t127)))) % 128.87/129.06 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p70) :args (@t125 @t95 (@list @t120 @t127))) % 128.87/129.06 (step @p117 :rule bool-impl-elim :args (@t8 @t129)) % 128.87/129.06 (step @p118 :rule cong :premises (@p117) :args ((forall @t10 (=> @t8 @t129)))) % 128.87/129.06 (step @p119 :rule bool-impl-elim :args (@t5 @t128)) % 128.87/129.06 (step @p120 :rule cong :premises (@p119) :args ((forall @t6 (=> @t5 @t128)))) % 128.87/129.06 (step @p121 :rule refl :args (@t44)) % 128.87/129.06 (step @p122 :rule cong :premises (@p121 @p37) :args (@t45)) % 128.87/129.06 (step @p123 :rule cong :premises (@p42 @p122) :args (@t46)) % 128.87/129.06 (step @p124 :rule cong :premises (@p123) :args (@t47)) % 128.87/129.06 (step @p125 :rule trans :premises (@p124 @p120)) % 128.87/129.06 (step @p126 :rule cong :premises (@p46 @p125) :args (@t48)) % 128.87/129.06 (step @p127 :rule cong :premises (@p126) :args (@t49)) % 128.87/129.07 (step @p128 :rule trans :premises (@p127 @p118)) % 128.87/129.07 (step @p129 :rule eq_resolve :premises (@p10 @p128)) % 128.87/129.07 (step @p130 :rule instantiate :premises (@p129) :args (@t91)) % 128.87/129.07 (step @p131 :rule cnf_or_pos :args (@t131)) % 128.87/129.07 (step @p132 :rule reordering :premises (@p131) :args ((or @t87 @t130 (not @t131)))) % 128.87/129.07 (step @p133 :rule chain_m_resolution :premises (@p132 @p66 @p130) :args (@t130 @t95 (@list @t86 @t131))) % 128.87/129.07 (step @p134 :rule instantiate :premises (@p133) :args (@t102)) % 128.87/129.07 (step @p135 :rule cnf_or_pos :args (@t134)) % 128.87/129.07 (step @p136 :rule reordering :premises (@p135) :args ((or @t126 @t133 (not @t134)))) % 128.87/129.07 (step @p137 :rule chain_m_resolution :premises (@p136 @p113 @p134) :args (@t133 @t95 (@list @t120 @t134))) % 128.87/129.07 (step @p138 :rule bool-impl-elim :args (@t8 @t135)) % 128.87/129.07 (step @p139 :rule cong :premises (@p138) :args ((forall @t10 (=> @t8 @t135)))) % 128.87/129.07 (step @p140 :rule bool-impl-elim :args (@t5 @t4)) % 128.87/129.07 (step @p141 :rule cong :premises (@p140) :args (@t7)) % 128.87/129.07 (step @p142 :rule cong :premises (@p46 @p141) :args (@t9)) % 128.87/129.07 (step @p143 :rule cong :premises (@p142) :args (@t11)) % 128.87/129.07 (step @p144 :rule trans :premises (@p143 @p139)) % 128.87/129.07 (step @p145 :rule eq_resolve :premises (@p1 @p144)) % 128.87/129.07 (step @p146 :rule instantiate :premises (@p145) :args (@t104)) % 128.87/129.07 (step @p147 :rule cnf_or_pos :args (@t137)) % 128.87/129.07 (step @p148 :rule reordering :premises (@p147) :args ((or @t106 @t136 (not @t137)))) % 128.87/129.07 (step @p149 :rule chain_m_resolution :premises (@p148 @p96 @p146) :args (@t136 @t95 (@list @t105 @t137))) % 128.87/129.07 (step @p150 :rule instantiate :premises (@p149) :args (@t113)) % 128.87/129.07 (step @p151 :rule cnf_or_pos :args (@t138)) % 128.87/129.07 (step @p152 :rule reordering :premises (@p151) :args ((or @t117 @t132 (not @t138)))) % 128.87/129.07 (step @p153 :rule chain_m_resolution :premises (@p152 @p110 @p150) :args (@t132 @t95 (@list @t114 @t138))) % 128.87/129.07 (step @p154 :rule cnf_equiv_pos1 :args (@t133)) % 128.87/129.07 (step @p155 :rule reordering :premises (@p154) :args ((or (not @t132) @t124 (not @t133)))) % 128.87/129.07 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p137) :args (@t124 @t95 (@list @t132 @t133))) % 128.87/129.07 (step @p157 :rule cnf_equiv_pos1 :args (@t125)) % 128.87/129.07 (step @p158 :rule reordering :premises (@p157) :args ((or @t123 (not @t124) (not @t125)))) % 128.87/129.07 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p116) :args (@t123 @t95 (@list @t124 @t125))) % 128.87/129.07 (step @p160 :rule bool-impl-elim :args (@t8 @t139)) % 128.87/129.07 (step @p161 :rule cong :premises (@p160) :args ((forall @t10 (=> @t8 @t139)))) % 128.87/129.07 (step @p162 :rule bool-impl-elim :args (@t5 @t35)) % 128.87/129.07 (step @p163 :rule cong :premises (@p162) :args (@t36)) % 128.87/129.07 (step @p164 :rule cong :premises (@p46 @p163) :args (@t37)) % 128.87/129.07 (step @p165 :rule cong :premises (@p164) :args (@t38)) % 128.87/129.07 (step @p166 :rule trans :premises (@p165 @p161)) % 128.87/129.07 (step @p167 :rule eq_resolve :premises (@p8 @p166)) % 128.87/129.07 (step @p168 :rule instantiate :premises (@p167) :args (@t102)) % 128.87/129.07 (step @p169 :rule cnf_or_pos :args (@t143)) % 128.87/129.07 (step @p170 :rule reordering :premises (@p169) :args ((or @t126 @t142 (not @t143)))) % 128.87/129.07 (step @p171 :rule chain_m_resolution :premises (@p170 @p113 @p168) :args (@t142 @t95 (@list @t120 @t143))) % 128.87/129.07 (step @p172 :rule instantiate :premises (@p171) :args (@t91)) % 128.87/129.07 (step @p173 :rule cnf_or_pos :args (@t147)) % 128.87/129.07 (step @p174 :rule reordering :premises (@p173) :args ((or @t87 @t146 (not @t147)))) % 128.87/129.07 (step @p175 :rule chain_m_resolution :premises (@p174 @p66 @p172) :args (@t146 @t95 (@list @t86 @t147))) % 128.87/129.07 (step @p176 :rule bool-impl-elim :args (@t8 @t149)) % 128.87/129.07 (step @p177 :rule cong :premises (@p176) :args ((forall @t10 (=> @t8 @t149)))) % 128.87/129.07 (step @p178 :rule bool-impl-elim :args (@t5 @t148)) % 128.87/129.07 (step @p179 :rule cong :premises (@p178) :args ((forall @t6 (=> @t5 @t148)))) % 128.87/129.07 (step @p180 :rule bool-impl-elim :args (@t16 @t14)) % 128.87/129.07 (step @p181 :rule cong :premises (@p180) :args (@t18)) % 128.87/129.07 (step @p182 :rule bool-impl-elim :args (@t21 @t20)) % 128.87/129.07 (step @p183 :rule cong :premises (@p182) :args (@t23)) % 128.87/129.07 (step @p184 :rule nary_cong :premises (@p183 @p181) :args (@t24)) % 128.87/129.07 (step @p185 :rule cong :premises (@p42 @p184) :args (@t25)) % 128.87/129.07 (step @p186 :rule cong :premises (@p185) :args (@t26)) % 128.87/129.07 (step @p187 :rule trans :premises (@p186 @p179)) % 128.87/129.07 (step @p188 :rule cong :premises (@p46 @p187) :args (@t27)) % 128.87/129.07 (step @p189 :rule cong :premises (@p188) :args (@t28)) % 128.87/129.07 (step @p190 :rule trans :premises (@p189 @p177)) % 128.87/129.07 (step @p191 :rule eq_resolve :premises (@p2 @p190)) % 128.87/129.07 (step @p192 :rule instantiate :premises (@p191) :args (@t104)) % 128.87/129.07 (step @p193 :rule cnf_or_pos :args (@t152)) % 128.87/129.07 (step @p194 :rule reordering :premises (@p193) :args ((or @t106 @t151 (not @t152)))) % 128.87/129.07 (step @p195 :rule chain_m_resolution :premises (@p194 @p96 @p192) :args (@t151 @t95 (@list @t105 @t152))) % 128.87/129.07 (step @p196 :rule instantiate :premises (@p195) :args (@t113)) % 128.87/129.07 (step @p197 :rule cnf_or_pos :args (@t155)) % 128.87/129.07 (step @p198 :rule reordering :premises (@p197) :args ((or @t117 @t154 (not @t155)))) % 128.87/129.07 (step @p199 :rule chain_m_resolution :premises (@p198 @p110 @p196) :args (@t154 @t95 (@list @t114 @t155))) % 128.87/129.07 (step @p200 :rule cnf_and_pos :args (@t154 0)) % 128.87/129.07 (step @p201 :rule reordering :premises (@p200) :args ((or @t153 (not @t154)))) % 128.87/129.07 (step @p202 :rule chain_m_resolution :premises (@p201 @p199) :args (@t153 @t94 (@list @t154))) % 128.87/129.07 (step @p203 :rule instantiate :premises (@p202) :args (@t91)) % 128.87/129.07 (step @p204 :rule cnf_or_neg :args (@t118 1)) % 128.87/129.07 (step @p205 :rule chain_m_resolution :premises (@p204 @p103) :args ((not @t116) @t108 @t119)) % 128.87/129.07 (step @p206 :rule cnf_or_pos :args (@t157)) % 128.87/129.07 (step @p207 :rule reordering :premises (@p206) :args ((or @t116 @t156 (not @t157)))) % 128.87/129.07 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p203) :args (@t156 @t158 (@list @t116 @t157))) % 128.87/129.07 (step @p209 :rule cnf_equiv_pos2 :args (@t146)) % 128.87/129.07 (step @p210 :rule reordering :premises (@p209) :args ((or @t145 @t159 (not @t146)))) % 128.87/129.07 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p175) :args (@t159 @t158 (@list @t145 @t146))) % 128.87/129.07 (step @p212 :rule bool-impl-elim :args (@t8 @t161)) % 128.87/129.07 (step @p213 :rule cong :premises (@p212) :args ((forall @t10 (=> @t8 @t161)))) % 128.87/129.07 (step @p214 :rule aci_norm :args ((= (or (or @t62 @t79) @t61) @t160))) % 128.87/129.07 (step @p215 :rule refl :args (@t61)) % 128.87/129.07 (step @p216 :rule refl :args (@t79)) % 128.87/129.07 (step @p217 :rule bool-double-not-elim :args (@t62)) % 128.87/129.07 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or (not @t63) @t79))) % 128.87/129.07 (step @p219 :rule bool-and-de-morgan :args (@t63 @t5 true)) % 128.87/129.07 (step @p220 :rule trans :premises (@p219 @p218)) % 128.87/129.07 (step @p221 :rule nary_cong :premises (@p220 @p215) :args ((or (not @t64) @t61))) % 128.87/129.07 (step @p222 :rule trans :premises (@p221 @p214)) % 128.87/129.07 (step @p223 :rule bool-impl-elim :args (@t64 @t61)) % 128.87/129.07 (step @p224 :rule trans :premises (@p223 @p222)) % 128.87/129.07 (step @p225 :rule cong :premises (@p224) :args (@t65)) % 128.87/129.07 (step @p226 :rule cong :premises (@p46 @p225) :args (@t66)) % 128.87/129.07 (step @p227 :rule cong :premises (@p226) :args (@t67)) % 128.87/129.07 (step @p228 :rule trans :premises (@p227 @p213)) % 128.87/129.07 (step @p229 :rule eq_resolve :premises (@p15 @p228)) % 128.87/129.07 (step @p230 :rule instantiate :premises (@p229) :args (@t91)) % 128.87/129.07 (step @p231 :rule cnf_or_pos :args (@t163)) % 128.87/129.07 (step @p232 :rule reordering :premises (@p231) :args ((or @t87 @t162 (not @t163)))) % 128.87/129.07 (step @p233 :rule chain_m_resolution :premises (@p232 @p66 @p230) :args (@t162 @t95 (@list @t86 @t163))) % 128.87/129.07 (step @p234 :rule eq-symm :args (@t144 @t123)) % 128.87/129.07 (step @p235 :rule refl :args (@t165)) % 128.87/129.07 (step @p236 :rule refl :args (@t166)) % 128.87/129.07 (step @p237 :rule nary_cong :premises (@p236 @p235 @p234) :args (@t167)) % 128.87/129.07 (step @p238 :rule refl :args (@t162)) % 128.87/129.07 (step @p239 :rule cong :premises (@p238 @p237) :args ((=> @t162 @t167))) % 128.87/129.07 (assume-push @p268 @t162) % 128.87/129.07 (step @p241 :rule instantiate :premises (@p233) :args ((@list @t122))) % 128.87/129.07 (step-pop @p269 :rule scope :premises (@p241)) % 128.87/129.07 (step @p242 :rule process_scope :premises (@p269) :args (@t167)) % 128.87/129.07 (step @p244 :rule eq_resolve :premises (@p242 @p239)) % 128.87/129.07 (step @p245 :rule implies_elim :premises (@p244)) % 128.87/129.07 (step @p246 :rule chain_m_resolution :premises (@p245 @p233) :args (@t169 @t94 (@list @t162))) % 128.87/129.07 (step @p247 :rule bool-impl-elim :args (@t8 @t58)) % 128.87/129.07 (step @p248 :rule cong :premises (@p247) :args (@t59)) % 128.87/129.07 (step @p249 :rule eq_resolve :premises (@p14 @p248)) % 128.87/129.07 (step @p250 :rule instantiate :premises (@p249) :args (@t102)) % 128.87/129.07 (step @p251 :rule cnf_or_pos :args (@t172)) % 128.87/129.07 (step @p252 :rule reordering :premises (@p251) :args ((or @t126 @t171 (not @t172)))) % 128.87/129.07 (step @p253 :rule chain_m_resolution :premises (@p252 @p113 @p250) :args (@t171 @t95 (@list @t120 @t172))) % 128.87/129.07 (step @p254 :rule cnf_and_pos :args (@t171 1)) % 128.87/129.07 (step @p255 :rule reordering :premises (@p254) :args ((or @t164 @t173))) % 128.87/129.07 (step @p256 :rule chain_m_resolution :premises (@p255 @p253) :args (@t164 @t94 @t174)) % 128.87/129.07 (step @p257 :rule cnf_and_pos :args (@t171 0)) % 128.87/129.07 (step @p258 :rule reordering :premises (@p257) :args ((or @t170 @t173))) % 128.87/129.07 (step @p259 :rule chain_m_resolution :premises (@p258 @p253) :args (@t170 @t94 @t174)) % 128.87/129.07 (step @p260 :rule cnf_or_pos :args (@t169)) % 128.87/129.07 (step @p261 :rule reordering :premises (@p260) :args ((or @t166 @t165 @t168 (not @t169)))) % 128.87/129.07 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p256 @p246) :args (@t168 (@list true false false) (@list @t166 @t164 @t169))) % 128.87/129.07 (step @p263 :rule cnf_equiv_pos1 :args (@t168)) % 128.87/129.07 (step @p264 :rule reordering :premises (@p263) :args ((or (not @t123) @t144 (not @t168)))) % 128.87/129.07 (step @p265 false :rule chain_m_resolution :premises (@p264 @p262 @p211 @p159) :args (false (@list false true false) (@list @t168 @t144 @t123))) % 128.87/129.07 ) % 128.87/129.07 % SZS output end Proof % 128.87/129.07 % cvc5 exiting %------------------------------------------------------------------------------