%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET711+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:48:29 AM UTC 2026 % Result : Theorem 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET711+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 16:10:03 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort $$unsorted 0) % 0.15/0.39 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.empty_set $$unsorted) % 0.15/0.39 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.39 (define @t2 () (@var "X" $$unsorted)) % 0.15/0.39 (define @t3 () (tptp.member @t2 @t1)) % 0.15/0.39 (define @t4 () (@var "A" $$unsorted)) % 0.15/0.39 (define @t5 () (tptp.member @t2 @t4)) % 0.15/0.39 (define @t6 () (@list @t2)) % 0.15/0.39 (define @t7 () (tptp.subset @t4 @t1)) % 0.15/0.39 (define @t8 () (@list @t4 @t1)) % 0.15/0.39 (define @t9 () (@list @t2 @t4)) % 0.15/0.39 (define @t10 () (@list @t2 @t4 @t1)) % 0.15/0.39 (define @t11 () (@var "E" $$unsorted)) % 0.15/0.39 (define @t12 () (= @t2 @t4)) % 0.15/0.39 (define @t13 () (@var "Y" $$unsorted)) % 0.15/0.39 (define @t14 () (tptp.member @t2 @t13)) % 0.15/0.39 (define @t15 () (tptp.member @t13 @t4)) % 0.15/0.39 (define @t16 () (@list @t13)) % 0.15/0.39 (define @t17 () (@var "Y2" $$unsorted)) % 0.15/0.39 (define @t18 () (@var "Y1" $$unsorted)) % 0.15/0.39 (define @t19 () (= @t18 @t17)) % 0.15/0.39 (define @t20 () (@var "F" $$unsorted)) % 0.15/0.39 (define @t21 () (tptp.apply @t20 @t2 @t18)) % 0.15/0.39 (define @t22 () (tptp.member @t17 @t1)) % 0.15/0.39 (define @t23 () (tptp.member @t18 @t1)) % 0.15/0.39 (define @t24 () (and @t5 @t23 @t22)) % 0.15/0.39 (define @t25 () (@list @t2 @t18 @t17)) % 0.15/0.39 (define @t26 () (tptp.apply @t20 @t2 @t13)) % 0.15/0.39 (define @t27 () (tptp.member @t13 @t1)) % 0.15/0.39 (define @t28 () (exists @t16 (and @t27 @t26))) % 0.15/0.39 (define @t29 () (tptp.maps @t20 @t4 @t1)) % 0.15/0.39 (define @t30 () (@list @t20 @t4 @t1)) % 0.15/0.39 (define @t31 () (@var "Z" $$unsorted)) % 0.15/0.39 (define @t32 () (@var "G" $$unsorted)) % 0.15/0.39 (define @t33 () (exists @t16 (and @t27 @t26 (tptp.apply @t32 @t13 @t31)))) % 0.15/0.39 (define @t34 () (@var "H" $$unsorted)) % 0.15/0.39 (define @t35 () (@var "C" $$unsorted)) % 0.15/0.39 (define @t36 () (and @t5 (tptp.member @t31 @t35))) % 0.15/0.39 (define @t37 () (tptp.apply @t32 @t2 @t17)) % 0.15/0.39 (define @t38 () (and @t21 @t37)) % 0.15/0.39 (define @t39 () (=> @t38 @t19)) % 0.15/0.39 (define @t40 () (forall @t25 (=> @t24 @t39))) % 0.15/0.39 (define @t41 () (tptp.equal_maps @t20 @t32 @t4 @t1)) % 0.15/0.39 (define @t42 () (= @t41 @t40)) % 0.15/0.39 (define @t43 () (forall (@list @t20 @t32 @t4 @t1) @t42)) % 0.15/0.39 (define @t44 () (@var "X2" $$unsorted)) % 0.15/0.39 (define @t45 () (@var "X1" $$unsorted)) % 0.15/0.39 (define @t46 () (= @t45 @t44)) % 0.15/0.39 (define @t47 () (tptp.apply @t20 @t44 @t13)) % 0.15/0.39 (define @t48 () (tptp.apply @t20 @t45 @t13)) % 0.15/0.39 (define @t49 () (and @t48 @t47)) % 0.15/0.39 (define @t50 () (=> @t49 @t46)) % 0.15/0.39 (define @t51 () (tptp.member @t44 @t4)) % 0.15/0.39 (define @t52 () (tptp.member @t45 @t4)) % 0.15/0.39 (define @t53 () (and @t52 @t51 @t27)) % 0.15/0.39 (define @t54 () (@list @t45 @t44 @t13)) % 0.15/0.39 (define @t55 () (forall @t54 (=> @t53 @t50))) % 0.15/0.39 (define @t56 () (tptp.injective @t20 @t4 @t1)) % 0.15/0.39 (define @t57 () (= @t56 @t55)) % 0.15/0.39 (define @t58 () (forall @t30 @t57)) % 0.15/0.39 (define @t59 () (tptp.surjective @t20 @t4 @t1)) % 0.15/0.39 (define @t60 () (tptp.one_to_one @t20 @t4 @t1)) % 0.15/0.39 (define @t61 () (= @t26 (tptp.apply @t32 @t13 @t2))) % 0.15/0.39 (define @t62 () (and @t5 @t27)) % 0.15/0.39 (define @t63 () (@list @t2 @t13)) % 0.15/0.39 (define @t64 () (forall @t63 (=> @t62 @t61))) % 0.15/0.39 (define @t65 () (tptp.inverse_predicate @t32 @t20 @t4 @t1)) % 0.15/0.39 (define @t66 () (= @t65 @t64)) % 0.15/0.39 (define @t67 () (forall (@list @t32 @t20 @t4 @t1) @t66)) % 0.15/0.39 (define @t68 () (exists @t6 (and @t5 @t26))) % 0.15/0.39 (define @t69 () (@var "S" $$unsorted)) % 0.15/0.39 (define @t70 () (tptp.apply @t69 @t18 @t17)) % 0.15/0.39 (define @t71 () (tptp.apply @t20 @t44 @t17)) % 0.15/0.39 (define @t72 () (tptp.apply @t20 @t45 @t18)) % 0.15/0.39 (define @t73 () (@var "R" $$unsorted)) % 0.15/0.39 (define @t74 () (tptp.apply @t73 @t45 @t44)) % 0.15/0.39 (define @t75 () (and @t52 @t23 @t51 @t22 @t74 @t72 @t71)) % 0.15/0.39 (define @t76 () (@list @t45 @t18 @t44 @t17)) % 0.15/0.39 (define @t77 () (@list @t20 @t4 @t73 @t1 @t69)) % 0.15/0.39 (define @t78 () (tptp.equal_maps @t32 @t34 @t1 @t4)) % 0.15/0.39 (define @t79 () (tptp.inverse_predicate @t34 @t20 @t4 @t1)) % 0.15/0.39 (define @t80 () (and @t29 @t60 @t65 @t79)) % 0.15/0.39 (define @t81 () (@list @t20 @t32 @t34 @t4 @t1)) % 0.15/0.39 (define @t82 () (forall @t81 (=> @t80 @t78))) % 0.15/0.39 (define @t83 () (not @t82)) % 0.15/0.39 (define @t84 () (not @t47)) % 0.15/0.39 (define @t85 () (not @t48)) % 0.15/0.39 (define @t86 () (not @t27)) % 0.15/0.39 (define @t87 () (not @t51)) % 0.15/0.39 (define @t88 () (not @t52)) % 0.15/0.39 (define @t89 () (or @t85 @t84 @t46)) % 0.15/0.39 (define @t90 () (or @t88 @t87 @t86)) % 0.15/0.39 (define @t91 () (not @t79)) % 0.15/0.39 (define @t92 () (not @t65)) % 0.15/0.39 (define @t93 () (not @t60)) % 0.15/0.39 (define @t94 () (not @t29)) % 0.15/0.39 (define @t95 () (or @t94 @t93 @t92 @t91 @t78)) % 0.15/0.39 (define @t96 () (forall @t81 @t95)) % 0.15/0.39 (define @t97 () (@quantifiers_skolemize @t96 4)) % 0.15/0.39 (define @t98 () (@quantifiers_skolemize @t96 3)) % 0.15/0.39 (define @t99 () (@quantifiers_skolemize @t96 0)) % 0.15/0.39 (define @t100 () (@list @t99 @t98 @t97)) % 0.15/0.39 (define @t101 () (or @t94 @t93 @t92 @t91)) % 0.15/0.39 (define @t102 () (tptp.one_to_one @t99 @t98 @t97)) % 0.15/0.39 (define @t103 () (@quantifiers_skolemize @t96 2)) % 0.15/0.39 (define @t104 () (@quantifiers_skolemize @t96 1)) % 0.15/0.39 (define @t105 () (tptp.equal_maps @t104 @t103 @t97 @t98)) % 0.15/0.39 (define @t106 () (tptp.inverse_predicate @t103 @t99 @t98 @t97)) % 0.15/0.39 (define @t107 () (not @t106)) % 0.15/0.39 (define @t108 () (tptp.inverse_predicate @t104 @t99 @t98 @t97)) % 0.15/0.39 (define @t109 () (not @t108)) % 0.15/0.39 (define @t110 () (not @t102)) % 0.15/0.39 (define @t111 () (or (not (tptp.maps @t99 @t98 @t97)) @t110 @t109 @t107 @t105)) % 0.15/0.39 (define @t112 () (@list true)) % 0.15/0.39 (define @t113 () (@list @t111)) % 0.15/0.39 (define @t114 () (tptp.injective @t99 @t98 @t97)) % 0.15/0.39 (define @t115 () (and @t114 (tptp.surjective @t99 @t98 @t97))) % 0.15/0.39 (define @t116 () (= @t102 @t115)) % 0.15/0.39 (define @t117 () (@list false false)) % 0.15/0.39 (define @t118 () (@list false)) % 0.15/0.39 (define @t119 () (not (tptp.member @t13 @t97))) % 0.15/0.39 (define @t120 () (forall @t54 (or (not (tptp.member @t45 @t98)) (not (tptp.member @t44 @t98)) @t119 (not (tptp.apply @t99 @t45 @t13)) (not (tptp.apply @t99 @t44 @t13)) @t46))) % 0.15/0.39 (define @t121 () (= @t114 @t120)) % 0.15/0.39 (define @t122 () (not @t5)) % 0.15/0.39 (define @t123 () (tptp.apply @t99 @t2 @t13)) % 0.15/0.39 (define @t124 () (not (tptp.member @t2 @t98))) % 0.15/0.39 (define @t125 () (forall @t63 (or @t124 @t119 (= @t123 (tptp.apply @t103 @t13 @t2))))) % 0.15/0.39 (define @t126 () (= @t106 @t125)) % 0.15/0.39 (define @t127 () (forall @t25 (or (not (tptp.member @t2 @t97)) (not (tptp.member @t18 @t98)) (not (tptp.member @t17 @t98)) (not (tptp.apply @t104 @t2 @t18)) (not (tptp.apply @t103 @t2 @t17)) @t19))) % 0.15/0.39 (define @t128 () (@quantifiers_skolemize @t127 0)) % 0.15/0.39 (define @t129 () (@quantifiers_skolemize @t127 2)) % 0.15/0.39 (define @t130 () (tptp.apply @t99 @t129 @t128)) % 0.15/0.39 (define @t131 () (tptp.apply @t103 @t128 @t129)) % 0.15/0.39 (define @t132 () (tptp.member @t128 @t97)) % 0.15/0.39 (define @t133 () (not @t132)) % 0.15/0.39 (define @t134 () (tptp.member @t129 @t98)) % 0.15/0.39 (define @t135 () (not @t134)) % 0.15/0.39 (define @t136 () (or @t135 @t133 (= @t130 @t131))) % 0.15/0.39 (define @t137 () (= @t131 @t130)) % 0.15/0.39 (define @t138 () (or @t135 @t133 @t137)) % 0.15/0.39 (define @t139 () (not @t37)) % 0.15/0.39 (define @t140 () (not @t21)) % 0.15/0.39 (define @t141 () (not @t22)) % 0.15/0.39 (define @t142 () (not @t23)) % 0.15/0.39 (define @t143 () (or @t140 @t139 @t19)) % 0.15/0.39 (define @t144 () (or @t122 @t142 @t141)) % 0.15/0.39 (define @t145 () (= @t105 @t127)) % 0.15/0.39 (define @t146 () (not @t127)) % 0.15/0.39 (define @t147 () (@list true false)) % 0.15/0.39 (define @t148 () (@quantifiers_skolemize @t127 1)) % 0.15/0.39 (define @t149 () (= @t148 @t129)) % 0.15/0.39 (define @t150 () (not @t131)) % 0.15/0.39 (define @t151 () (tptp.apply @t104 @t128 @t148)) % 0.15/0.39 (define @t152 () (not @t151)) % 0.15/0.39 (define @t153 () (tptp.member @t148 @t98)) % 0.15/0.39 (define @t154 () (not @t153)) % 0.15/0.39 (define @t155 () (or @t133 @t154 @t135 @t152 @t150 @t149)) % 0.15/0.39 (define @t156 () (@list @t155)) % 0.15/0.39 (define @t157 () (@list false false false)) % 0.15/0.39 (define @t158 () (forall @t63 (or @t124 @t119 (= @t123 (tptp.apply @t104 @t13 @t2))))) % 0.15/0.39 (define @t159 () (= @t108 @t158)) % 0.15/0.39 (define @t160 () (tptp.apply @t99 @t148 @t128)) % 0.15/0.39 (define @t161 () (or @t154 @t133 (= @t160 @t151))) % 0.15/0.39 (define @t162 () (= @t151 @t160)) % 0.15/0.39 (define @t163 () (or @t154 @t133 @t162)) % 0.15/0.39 (define @t164 () (not @t130)) % 0.15/0.39 (define @t165 () (not @t160)) % 0.15/0.39 (define @t166 () (or @t154 @t135 @t133 @t165 @t164 @t149)) % 0.15/0.39 (define @t167 () (not @t166)) % 0.15/0.39 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.15/0.39 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.15/0.39 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.15/0.39 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.15/0.39 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.15/0.39 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.15/0.39 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.15/0.39 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.15/0.39 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.15/0.39 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.15/0.39 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.15/0.39 (assume @p12 (forall @t30 (= @t29 (and (forall @t6 (=> @t5 @t28)) (forall @t25 (=> @t24 (=> (and @t21 (tptp.apply @t20 @t2 @t17)) @t19))))))) % 0.15/0.39 (assume @p13 (forall (@list @t34 @t32 @t20 @t4 @t1 @t35) (= (tptp.compose_predicate @t34 @t32 @t20 @t4 @t1 @t35) (forall (@list @t2 @t31) (=> @t36 (= (tptp.apply @t34 @t2 @t31) @t33)))))) % 0.15/0.39 (assume @p14 (forall (@list @t32 @t20 @t4 @t1 @t35 @t2 @t31) (=> @t36 (= (tptp.apply (tptp.compose_function @t32 @t20 @t4 @t1 @t35) @t2 @t31) @t33)))) % 0.15/0.39 (assume @p15 @t43) % 0.15/0.39 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 0.15/0.39 (assume @p17 @t58) % 0.15/0.39 (assume @p18 (forall @t30 (= @t59 (forall @t16 (=> @t27 (exists (@list @t11) (and (tptp.member @t11 @t4) (tptp.apply @t20 @t11 @t13)))))))) % 0.15/0.39 (assume @p19 (forall @t30 (= @t60 (and @t56 @t59)))) % 0.15/0.39 (assume @p20 @t67) % 0.15/0.39 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t62 (= @t26 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 0.15/0.39 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t68))) % 0.15/0.39 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t27 @t68)))) % 0.15/0.39 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t28))) % 0.15/0.39 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t28)))) % 0.15/0.39 (assume @p26 (forall @t77 (= (tptp.increasing @t20 @t4 @t73 @t1 @t69) (forall @t76 (=> @t75 @t70))))) % 0.15/0.39 (assume @p27 (forall @t77 (= (tptp.decreasing @t20 @t4 @t73 @t1 @t69) (forall @t76 (=> @t75 (tptp.apply @t69 @t17 @t18)))))) % 0.15/0.39 (assume @p28 (forall @t77 (= (tptp.isomorphism @t20 @t4 @t73 @t1 @t69) (and @t29 @t60 (forall @t76 (=> (and @t52 @t23 @t51 @t22 @t72 @t71) (= @t74 @t70))))))) % 0.15/0.39 (assume @p29 @t83) % 0.15/0.39 (assume @p30 true) % 0.15/0.39 (step @p31 :rule aci_norm :args ((= (or @t90 @t89) (or @t88 @t87 @t86 @t85 @t84 @t46)))) % 0.15/0.39 (step @p32 :rule aci_norm :args ((= (or (or @t85 @t84) @t46) @t89))) % 0.15/0.39 (step @p33 :rule refl :args (@t46)) % 0.15/0.39 (step @p34 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.15/0.39 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t49) @t46))) % 0.15/0.39 (step @p36 :rule trans :premises (@p35 @p32)) % 0.15/0.39 (step @p37 :rule bool-impl-elim :args (@t49 @t46)) % 0.15/0.39 (step @p38 :rule trans :premises (@p37 @p36)) % 0.15/0.39 (step @p39 :rule aci_norm :args ((= (or @t88 (or @t87 @t86)) @t90))) % 0.15/0.39 (step @p40 :rule bool-and-de-morgan :args (@t51 @t27 true)) % 0.15/0.39 (step @p41 :rule refl :args (@t88)) % 0.15/0.39 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t88 (not (and @t51 @t27))))) % 0.15/0.39 (step @p43 :rule bool-and-de-morgan :args (@t52 @t51 (and @t27))) % 0.15/0.39 (step @p44 :rule trans :premises (@p43 @p42)) % 0.15/0.39 (step @p45 :rule trans :premises (@p44 @p39)) % 0.15/0.39 (step @p46 :rule nary_cong :premises (@p45 @p38) :args ((or (not @t53) @t50))) % 0.15/0.39 (step @p47 :rule trans :premises (@p46 @p31)) % 0.15/0.39 (step @p48 :rule bool-impl-elim :args (@t53 @t50)) % 0.15/0.39 (step @p49 :rule trans :premises (@p48 @p47)) % 0.15/0.39 (step @p50 :rule cong :premises (@p49) :args (@t55)) % 0.15/0.39 (step @p51 :rule refl :args (@t56)) % 0.15/0.39 (step @p52 :rule cong :premises (@p51 @p50) :args (@t57)) % 0.15/0.39 (step @p53 :rule cong :premises (@p52) :args (@t58)) % 0.15/0.39 (step @p54 :rule eq_resolve :premises (@p17 @p53)) % 0.15/0.39 (step @p55 :rule instantiate :premises (@p54) :args (@t100)) % 0.15/0.39 (step @p56 :rule instantiate :premises (@p19) :args (@t100)) % 0.15/0.39 (step @p57 :rule aci_norm :args ((= (or @t101 @t78) @t95))) % 0.15/0.39 (step @p58 :rule refl :args (@t78)) % 0.15/0.39 (step @p59 :rule aci_norm :args ((= (or @t94 (or @t93 (or @t92 @t91))) @t101))) % 0.15/0.39 (step @p60 :rule bool-and-de-morgan :args (@t65 @t79 true)) % 0.15/0.39 (step @p61 :rule refl :args (@t93)) % 0.15/0.39 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t93 (not (and @t65 @t79))))) % 0.15/0.39 (step @p63 :rule bool-and-de-morgan :args (@t60 @t65 (and @t79))) % 0.15/0.39 (step @p64 :rule trans :premises (@p63 @p62)) % 0.15/0.39 (step @p65 :rule refl :args (@t94)) % 0.15/0.39 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t94 (not (and @t60 @t65 @t79))))) % 0.15/0.39 (step @p67 :rule bool-and-de-morgan :args (@t29 @t60 (and @t65 @t79))) % 0.15/0.39 (step @p68 :rule trans :premises (@p67 @p66)) % 0.15/0.39 (step @p69 :rule trans :premises (@p68 @p59)) % 0.15/0.39 (step @p70 :rule nary_cong :premises (@p69 @p58) :args ((or (not @t80) @t78))) % 0.15/0.39 (step @p71 :rule trans :premises (@p70 @p57)) % 0.15/0.39 (step @p72 :rule bool-impl-elim :args (@t80 @t78)) % 0.15/0.39 (step @p73 :rule trans :premises (@p72 @p71)) % 0.15/0.39 (step @p74 :rule cong :premises (@p73) :args (@t82)) % 0.15/0.39 (step @p75 :rule cong :premises (@p74) :args (@t83)) % 0.15/0.39 (step @p76 :rule eq_resolve :premises (@p29 @p75)) % 0.15/0.39 (step @p77 :rule skolemize :premises (@p76)) % 0.15/0.39 (step @p78 :rule bool-double-not-elim :args (@t102)) % 0.15/0.39 (step @p79 :rule refl :args (@t111)) % 0.15/0.39 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t111 (not @t110)))) % 0.15/0.39 (step @p81 :rule cnf_or_neg :args (@t111 1)) % 0.15/0.39 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.15/0.39 (step @p83 :rule reordering :premises (@p82) :args ((or @t102 @t111))) % 0.15/0.39 (step @p84 :rule chain_m_resolution :premises (@p83 @p77) :args (@t102 @t112 @t113)) % 0.15/0.39 (step @p85 :rule cnf_equiv_pos1 :args (@t116)) % 0.15/0.39 (step @p86 :rule reordering :premises (@p85) :args ((or @t110 @t115 (not @t116)))) % 0.15/0.39 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p56) :args (@t115 @t117 (@list @t102 @t116))) % 0.15/0.39 (step @p88 :rule cnf_and_pos :args (@t115 0)) % 0.15/0.39 (step @p89 :rule reordering :premises (@p88) :args ((or @t114 (not @t115)))) % 0.15/0.39 (step @p90 :rule chain_m_resolution :premises (@p89 @p87) :args (@t114 @t118 (@list @t115))) % 0.15/0.39 (step @p91 :rule cnf_equiv_pos1 :args (@t121)) % 0.15/0.39 (step @p92 :rule reordering :premises (@p91) :args ((or (not @t114) @t120 (not @t121)))) % 0.15/0.39 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p55) :args (@t120 @t117 (@list @t114 @t121))) % 0.15/0.39 (step @p94 :rule aci_norm :args ((= (or (or @t122 @t86) @t61) (or @t122 @t86 @t61)))) % 0.15/0.39 (step @p95 :rule refl :args (@t61)) % 0.15/0.39 (step @p96 :rule bool-and-de-morgan :args (@t5 @t27 true)) % 0.15/0.39 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t62) @t61))) % 0.15/0.39 (step @p98 :rule trans :premises (@p97 @p94)) % 0.15/0.39 (step @p99 :rule bool-impl-elim :args (@t62 @t61)) % 0.15/0.39 (step @p100 :rule trans :premises (@p99 @p98)) % 0.15/0.39 (step @p101 :rule cong :premises (@p100) :args (@t64)) % 0.15/0.39 (step @p102 :rule refl :args (@t65)) % 0.15/0.39 (step @p103 :rule cong :premises (@p102 @p101) :args (@t66)) % 0.15/0.39 (step @p104 :rule cong :premises (@p103) :args (@t67)) % 0.15/0.39 (step @p105 :rule eq_resolve :premises (@p20 @p104)) % 0.15/0.39 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t103 @t99 @t98 @t97))) % 0.15/0.39 (step @p107 :rule bool-double-not-elim :args (@t106)) % 0.15/0.39 (step @p108 :rule nary_cong :premises (@p79 @p107) :args ((or @t111 (not @t107)))) % 0.15/0.39 (step @p109 :rule cnf_or_neg :args (@t111 3)) % 0.15/0.39 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.15/0.39 (step @p111 :rule reordering :premises (@p110) :args ((or @t106 @t111))) % 0.15/0.39 (step @p112 :rule chain_m_resolution :premises (@p111 @p77) :args (@t106 @t112 @t113)) % 0.15/0.39 (step @p113 :rule cnf_equiv_pos1 :args (@t126)) % 0.15/0.39 (step @p114 :rule reordering :premises (@p113) :args ((or @t107 @t125 (not @t126)))) % 0.15/0.39 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p106) :args (@t125 @t117 (@list @t106 @t126))) % 0.15/0.39 (step @p116 :rule eq-symm :args (@t130 @t131)) % 0.15/0.39 (step @p117 :rule refl :args (@t133)) % 0.15/0.39 (step @p118 :rule refl :args (@t135)) % 0.15/0.39 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116) :args (@t136)) % 0.15/0.39 (step @p120 :rule refl :args (@t125)) % 0.15/0.39 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t125 @t136))) % 0.15/0.39 (assume-push @p236 @t125) % 0.15/0.39 (step @p123 :rule instantiate :premises (@p115) :args ((@list @t129 @t128))) % 0.15/0.39 (step-pop @p237 :rule scope :premises (@p123)) % 0.15/0.39 (step @p124 :rule process_scope :premises (@p237) :args (@t136)) % 0.15/0.39 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.15/0.39 (step @p127 :rule implies_elim :premises (@p126)) % 0.15/0.39 (step @p128 :rule chain_m_resolution :premises (@p127 @p115) :args (@t138 @t118 (@list @t125))) % 0.15/0.39 (step @p129 :rule aci_norm :args ((= (or @t144 @t143) (or @t122 @t142 @t141 @t140 @t139 @t19)))) % 0.15/0.39 (step @p130 :rule aci_norm :args ((= (or (or @t140 @t139) @t19) @t143))) % 0.15/0.39 (step @p131 :rule refl :args (@t19)) % 0.15/0.39 (step @p132 :rule bool-and-de-morgan :args (@t21 @t37 true)) % 0.15/0.39 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t38) @t19))) % 0.15/0.39 (step @p134 :rule trans :premises (@p133 @p130)) % 0.15/0.39 (step @p135 :rule bool-impl-elim :args (@t38 @t19)) % 0.15/0.39 (step @p136 :rule trans :premises (@p135 @p134)) % 0.15/0.39 (step @p137 :rule aci_norm :args ((= (or @t122 (or @t142 @t141)) @t144))) % 0.15/0.39 (step @p138 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.15/0.39 (step @p139 :rule refl :args (@t122)) % 0.15/0.39 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t122 (not (and @t23 @t22))))) % 0.15/0.39 (step @p141 :rule bool-and-de-morgan :args (@t5 @t23 (and @t22))) % 0.15/0.39 (step @p142 :rule trans :premises (@p141 @p140)) % 0.15/0.39 (step @p143 :rule trans :premises (@p142 @p137)) % 0.15/0.39 (step @p144 :rule nary_cong :premises (@p143 @p136) :args ((or (not @t24) @t39))) % 0.15/0.39 (step @p145 :rule trans :premises (@p144 @p129)) % 0.15/0.39 (step @p146 :rule bool-impl-elim :args (@t24 @t39)) % 0.15/0.39 (step @p147 :rule trans :premises (@p146 @p145)) % 0.15/0.39 (step @p148 :rule cong :premises (@p147) :args (@t40)) % 0.15/0.39 (step @p149 :rule refl :args (@t41)) % 0.15/0.39 (step @p150 :rule cong :premises (@p149 @p148) :args (@t42)) % 0.15/0.39 (step @p151 :rule cong :premises (@p150) :args (@t43)) % 0.15/0.39 (step @p152 :rule eq_resolve :premises (@p15 @p151)) % 0.15/0.39 (step @p153 :rule instantiate :premises (@p152) :args ((@list @t104 @t103 @t97 @t98))) % 0.15/0.39 (step @p154 :rule cnf_or_neg :args (@t111 4)) % 0.15/0.39 (step @p155 :rule chain_m_resolution :premises (@p154 @p77) :args ((not @t105) @t112 @t113)) % 0.15/0.39 (step @p156 :rule cnf_equiv_pos2 :args (@t145)) % 0.15/0.39 (step @p157 :rule reordering :premises (@p156) :args ((or @t105 @t146 (not @t145)))) % 0.15/0.39 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p153) :args (@t146 @t147 (@list @t105 @t145))) % 0.15/0.39 (step @p159 :rule skolemize :premises (@p158)) % 0.15/0.39 (step @p160 :rule bool-double-not-elim :args (@t134)) % 0.15/0.39 (step @p161 :rule refl :args (@t155)) % 0.15/0.39 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t155 (not @t135)))) % 0.15/0.39 (step @p163 :rule cnf_or_neg :args (@t155 2)) % 0.15/0.39 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.15/0.39 (step @p165 :rule reordering :premises (@p164) :args ((or @t134 @t155))) % 0.15/0.39 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t134 @t112 @t156)) % 0.15/0.39 (step @p167 :rule bool-double-not-elim :args (@t132)) % 0.15/0.39 (step @p168 :rule nary_cong :premises (@p161 @p167) :args ((or @t155 (not @t133)))) % 0.15/0.39 (step @p169 :rule cnf_or_neg :args (@t155 0)) % 0.15/0.39 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.15/0.39 (step @p171 :rule reordering :premises (@p170) :args ((or @t132 @t155))) % 0.15/0.39 (step @p172 :rule chain_m_resolution :premises (@p171 @p159) :args (@t132 @t112 @t156)) % 0.15/0.39 (step @p173 :rule cnf_or_pos :args (@t138)) % 0.15/0.39 (step @p174 :rule reordering :premises (@p173) :args ((or @t133 @t135 @t137 (not @t138)))) % 0.15/0.39 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p166 @p128) :args (@t137 @t157 (@list @t132 @t134 @t138))) % 0.15/0.39 (step @p176 :rule bool-double-not-elim :args (@t131)) % 0.15/0.39 (step @p177 :rule nary_cong :premises (@p161 @p176) :args ((or @t155 (not @t150)))) % 0.15/0.39 (step @p178 :rule cnf_or_neg :args (@t155 4)) % 0.15/0.39 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.15/0.39 (step @p180 :rule reordering :premises (@p179) :args ((or @t131 @t155))) % 0.15/0.39 (step @p181 :rule chain_m_resolution :premises (@p180 @p159) :args (@t131 @t112 @t156)) % 0.15/0.39 (step @p182 :rule cnf_equiv_pos1 :args (@t137)) % 0.15/0.39 (step @p183 :rule reordering :premises (@p182) :args ((or @t150 @t130 (not @t137)))) % 0.15/0.39 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p175) :args (@t130 @t117 (@list @t131 @t137))) % 0.15/0.39 (step @p185 :rule instantiate :premises (@p105) :args ((@list @t104 @t99 @t98 @t97))) % 0.15/0.39 (step @p186 :rule bool-double-not-elim :args (@t108)) % 0.15/0.39 (step @p187 :rule nary_cong :premises (@p79 @p186) :args ((or @t111 (not @t109)))) % 0.15/0.39 (step @p188 :rule cnf_or_neg :args (@t111 2)) % 0.15/0.39 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.15/0.39 (step @p190 :rule reordering :premises (@p189) :args ((or @t108 @t111))) % 0.15/0.39 (step @p191 :rule chain_m_resolution :premises (@p190 @p77) :args (@t108 @t112 @t113)) % 0.15/0.39 (step @p192 :rule cnf_equiv_pos1 :args (@t159)) % 0.15/0.39 (step @p193 :rule reordering :premises (@p192) :args ((or @t109 @t158 (not @t159)))) % 0.15/0.39 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p185) :args (@t158 @t117 (@list @t108 @t159))) % 0.15/0.39 (step @p195 :rule eq-symm :args (@t160 @t151)) % 0.15/0.39 (step @p196 :rule refl :args (@t154)) % 0.15/0.39 (step @p197 :rule nary_cong :premises (@p196 @p117 @p195) :args (@t161)) % 0.15/0.39 (step @p198 :rule refl :args (@t158)) % 0.15/0.39 (step @p199 :rule cong :premises (@p198 @p197) :args ((=> @t158 @t161))) % 0.15/0.39 (assume-push @p238 @t158) % 0.15/0.39 (step @p201 :rule instantiate :premises (@p194) :args ((@list @t148 @t128))) % 0.15/0.39 (step-pop @p239 :rule scope :premises (@p201)) % 0.15/0.39 (step @p202 :rule process_scope :premises (@p239) :args (@t161)) % 0.15/0.39 (step @p204 :rule eq_resolve :premises (@p202 @p199)) % 0.15/0.39 (step @p205 :rule implies_elim :premises (@p204)) % 0.15/0.39 (step @p206 :rule chain_m_resolution :premises (@p205 @p194) :args (@t163 @t118 (@list @t158))) % 0.15/0.39 (step @p207 :rule bool-double-not-elim :args (@t153)) % 0.15/0.39 (step @p208 :rule nary_cong :premises (@p161 @p207) :args ((or @t155 (not @t154)))) % 0.15/0.39 (step @p209 :rule cnf_or_neg :args (@t155 1)) % 0.15/0.39 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.15/0.39 (step @p211 :rule reordering :premises (@p210) :args ((or @t153 @t155))) % 0.15/0.39 (step @p212 :rule chain_m_resolution :premises (@p211 @p159) :args (@t153 @t112 @t156)) % 0.15/0.39 (step @p213 :rule cnf_or_pos :args (@t163)) % 0.15/0.39 (step @p214 :rule reordering :premises (@p213) :args ((or @t133 @t154 @t162 (not @t163)))) % 0.15/0.39 (step @p215 :rule chain_m_resolution :premises (@p214 @p172 @p212 @p206) :args (@t162 @t157 (@list @t132 @t153 @t163))) % 0.15/0.39 (step @p216 :rule bool-double-not-elim :args (@t151)) % 0.15/0.39 (step @p217 :rule nary_cong :premises (@p161 @p216) :args ((or @t155 (not @t152)))) % 0.15/0.39 (step @p218 :rule cnf_or_neg :args (@t155 3)) % 0.15/0.39 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.15/0.39 (step @p220 :rule reordering :premises (@p219) :args ((or @t151 @t155))) % 0.15/0.39 (step @p221 :rule chain_m_resolution :premises (@p220 @p159) :args (@t151 @t112 @t156)) % 0.15/0.39 (step @p222 :rule cnf_equiv_pos1 :args (@t162)) % 0.15/0.39 (step @p223 :rule reordering :premises (@p222) :args ((or @t152 @t160 (not @t162)))) % 0.15/0.39 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p215) :args (@t160 @t117 (@list @t151 @t162))) % 0.15/0.39 (step @p225 :rule cnf_or_neg :args (@t155 5)) % 0.15/0.39 (step @p226 :rule chain_m_resolution :premises (@p225 @p159) :args ((not @t149) @t112 @t156)) % 0.15/0.39 (step @p227 :rule cnf_or_pos :args (@t166)) % 0.15/0.39 (step @p228 :rule reordering :premises (@p227) :args ((or @t133 @t154 @t135 @t149 @t165 @t164 @t167))) % 0.15/0.39 (step @p229 :rule chain_m_resolution :premises (@p228 @p172 @p212 @p166 @p226 @p224 @p184) :args (@t167 (@list false false false true false false) (@list @t132 @t153 @t134 @t149 @t160 @t130))) % 0.15/0.39 (assume-push @p240 @t120) % 0.15/0.39 (step @p231 :rule instantiate :premises (@p93) :args ((@list @t148 @t129 @t128))) % 0.15/0.39 (step-pop @p241 :rule scope :premises (@p231)) % 0.15/0.39 (step @p232 :rule process_scope :premises (@p241) :args (@t166)) % 0.15/0.39 (step @p234 :rule implies_elim :premises (@p232)) % 0.15/0.39 (step @p235 false :rule chain_m_resolution :premises (@p234 @p229 @p93) :args (false @t147 (@list @t166 @t120))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------