%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET714+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 : n006.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 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET714+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 % 0.15/0.34 % Computer : n006.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:09:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.empty_set $$unsorted) % 0.39/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.39/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.61 (define @t6 () (@list @t2)) % 0.39/0.61 (define @t7 () (tptp.subset @t4 @t1)) % 0.39/0.61 (define @t8 () (@list @t4 @t1)) % 0.39/0.61 (define @t9 () (@list @t2 @t4)) % 0.39/0.61 (define @t10 () (@list @t2 @t4 @t1)) % 0.39/0.61 (define @t11 () (@var "E" $$unsorted)) % 0.39/0.61 (define @t12 () (= @t2 @t4)) % 0.39/0.61 (define @t13 () (@var "Y" $$unsorted)) % 0.39/0.61 (define @t14 () (tptp.member @t2 @t13)) % 0.39/0.61 (define @t15 () (tptp.member @t13 @t4)) % 0.39/0.61 (define @t16 () (@list @t13)) % 0.39/0.61 (define @t17 () (@var "Y2" $$unsorted)) % 0.39/0.61 (define @t18 () (@var "Y1" $$unsorted)) % 0.39/0.61 (define @t19 () (= @t18 @t17)) % 0.39/0.61 (define @t20 () (@var "F" $$unsorted)) % 0.39/0.61 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.39/0.61 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.39/0.61 (define @t23 () (and @t22 @t21)) % 0.39/0.61 (define @t24 () (=> @t23 @t19)) % 0.39/0.61 (define @t25 () (tptp.member @t17 @t1)) % 0.39/0.61 (define @t26 () (tptp.member @t18 @t1)) % 0.39/0.61 (define @t27 () (and @t5 @t26 @t25)) % 0.39/0.61 (define @t28 () (@list @t2 @t18 @t17)) % 0.39/0.61 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.39/0.61 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.39/0.61 (define @t31 () (tptp.member @t13 @t1)) % 0.39/0.61 (define @t32 () (and @t31 @t30)) % 0.39/0.61 (define @t33 () (exists @t16 @t32)) % 0.39/0.61 (define @t34 () (=> @t5 @t33)) % 0.39/0.61 (define @t35 () (forall @t6 @t34)) % 0.39/0.61 (define @t36 () (and @t35 @t29)) % 0.39/0.61 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.39/0.61 (define @t38 () (= @t37 @t36)) % 0.39/0.61 (define @t39 () (@list @t20 @t4 @t1)) % 0.39/0.61 (define @t40 () (forall @t39 @t38)) % 0.39/0.61 (define @t41 () (@var "Z" $$unsorted)) % 0.39/0.61 (define @t42 () (@var "G" $$unsorted)) % 0.39/0.61 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.39/0.61 (define @t44 () (and @t31 @t30 @t43)) % 0.39/0.61 (define @t45 () (exists @t16 @t44)) % 0.39/0.61 (define @t46 () (@var "H" $$unsorted)) % 0.39/0.61 (define @t47 () (@var "C" $$unsorted)) % 0.39/0.61 (define @t48 () (tptp.member @t41 @t47)) % 0.39/0.61 (define @t49 () (and @t5 @t48)) % 0.39/0.61 (define @t50 () (tptp.apply (tptp.compose_function @t42 @t20 @t4 @t1 @t47) @t2 @t41)) % 0.39/0.61 (define @t51 () (=> @t49 (= @t50 @t45))) % 0.39/0.61 (define @t52 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 0.39/0.61 (define @t53 () (forall @t52 @t51)) % 0.39/0.61 (define @t54 () (tptp.apply @t20 @t2 @t2)) % 0.39/0.61 (define @t55 () (forall @t6 (=> @t5 @t54))) % 0.39/0.61 (define @t56 () (tptp.identity @t20 @t4)) % 0.39/0.61 (define @t57 () (= @t56 @t55)) % 0.39/0.61 (define @t58 () (forall (@list @t20 @t4) @t57)) % 0.39/0.61 (define @t59 () (@var "X2" $$unsorted)) % 0.39/0.61 (define @t60 () (@var "X1" $$unsorted)) % 0.39/0.61 (define @t61 () (tptp.member @t59 @t4)) % 0.39/0.61 (define @t62 () (tptp.member @t60 @t4)) % 0.39/0.61 (define @t63 () (tptp.injective @t20 @t4 @t1)) % 0.39/0.61 (define @t64 () (tptp.surjective @t20 @t4 @t1)) % 0.39/0.61 (define @t65 () (tptp.one_to_one @t20 @t4 @t1)) % 0.39/0.61 (define @t66 () (and @t5 @t31)) % 0.39/0.61 (define @t67 () (tptp.inverse_function @t20 @t4 @t1)) % 0.39/0.61 (define @t68 () (= @t30 (tptp.apply @t67 @t13 @t2))) % 0.39/0.61 (define @t69 () (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t66 @t68))) % 0.39/0.61 (define @t70 () (exists @t6 (and @t5 @t30))) % 0.39/0.61 (define @t71 () (@var "S" $$unsorted)) % 0.39/0.61 (define @t72 () (tptp.apply @t71 @t18 @t17)) % 0.39/0.61 (define @t73 () (tptp.apply @t20 @t59 @t17)) % 0.39/0.61 (define @t74 () (tptp.apply @t20 @t60 @t18)) % 0.39/0.61 (define @t75 () (@var "R" $$unsorted)) % 0.39/0.61 (define @t76 () (tptp.apply @t75 @t60 @t59)) % 0.39/0.61 (define @t77 () (and @t62 @t26 @t61 @t25 @t76 @t74 @t73)) % 0.39/0.61 (define @t78 () (@list @t60 @t18 @t59 @t17)) % 0.39/0.61 (define @t79 () (@list @t20 @t4 @t75 @t1 @t71)) % 0.39/0.61 (define @t80 () (tptp.identity (tptp.compose_function @t67 @t20 @t4 @t1 @t4) @t4)) % 0.39/0.61 (define @t81 () (and @t37 @t65)) % 0.39/0.61 (define @t82 () (forall @t39 (=> @t81 @t80))) % 0.39/0.61 (define @t83 () (not @t82)) % 0.39/0.61 (define @t84 () (not @t65)) % 0.39/0.61 (define @t85 () (not @t37)) % 0.39/0.61 (define @t86 () (or @t85 @t84 @t80)) % 0.39/0.61 (define @t87 () (forall @t39 @t86)) % 0.39/0.61 (define @t88 () (@quantifiers_skolemize @t87 1)) % 0.39/0.61 (define @t89 () (@quantifiers_skolemize @t87 2)) % 0.39/0.61 (define @t90 () (@quantifiers_skolemize @t87 0)) % 0.39/0.61 (define @t91 () (tptp.inverse_function @t90 @t88 @t89)) % 0.39/0.61 (define @t92 () (tptp.compose_function @t91 @t90 @t88 @t89 @t88)) % 0.39/0.61 (define @t93 () (tptp.identity @t92 @t88)) % 0.39/0.61 (define @t94 () (tptp.maps @t90 @t88 @t89)) % 0.39/0.61 (define @t95 () (not @t94)) % 0.39/0.61 (define @t96 () (or @t95 (not (tptp.one_to_one @t90 @t88 @t89)) @t93)) % 0.39/0.61 (define @t97 () (@list true)) % 0.39/0.61 (define @t98 () (@list @t96)) % 0.39/0.61 (define @t99 () (not (tptp.member @t2 @t88))) % 0.39/0.61 (define @t100 () (forall @t6 (or @t99 (tptp.apply @t92 @t2 @t2)))) % 0.39/0.61 (define @t101 () (= @t93 @t100)) % 0.39/0.61 (define @t102 () (not @t100)) % 0.39/0.61 (define @t103 () (@list true false)) % 0.39/0.61 (define @t104 () (@quantifiers_skolemize @t100 0)) % 0.39/0.61 (define @t105 () (tptp.member @t104 @t88)) % 0.39/0.61 (define @t106 () (tptp.apply @t92 @t104 @t104)) % 0.39/0.61 (define @t107 () (not @t105)) % 0.39/0.61 (define @t108 () (or @t107 @t106)) % 0.39/0.61 (define @t109 () (@list @t108)) % 0.39/0.61 (define @t110 () (not @t21)) % 0.39/0.61 (define @t111 () (not @t22)) % 0.39/0.61 (define @t112 () (not @t25)) % 0.39/0.61 (define @t113 () (not @t26)) % 0.39/0.61 (define @t114 () (not @t5)) % 0.39/0.61 (define @t115 () (or @t111 @t110 @t19)) % 0.39/0.61 (define @t116 () (or @t114 @t113 @t112)) % 0.39/0.61 (define @t117 () (not @t30)) % 0.39/0.61 (define @t118 () (not @t31)) % 0.39/0.61 (define @t119 () (not (forall @t16 (or @t118 @t117)))) % 0.39/0.61 (define @t120 () (forall @t16 (not @t32))) % 0.39/0.61 (define @t121 () (not @t120)) % 0.39/0.61 (define @t122 () (not (tptp.member @t13 @t89))) % 0.39/0.61 (define @t123 () (forall @t6 (or @t99 (not (forall @t16 (or @t122 (not (tptp.apply @t90 @t2 @t13)))))))) % 0.39/0.61 (define @t124 () (and @t123 (forall @t28 (or @t99 (not (tptp.member @t18 @t89)) (not (tptp.member @t17 @t89)) (not (tptp.apply @t90 @t2 @t18)) (not (tptp.apply @t90 @t2 @t17)) @t19)))) % 0.39/0.61 (define @t125 () (= @t94 @t124)) % 0.39/0.61 (define @t126 () (@list false false)) % 0.39/0.61 (define @t127 () (not (tptp.apply @t90 @t104 @t13))) % 0.39/0.61 (define @t128 () (forall @t16 (or @t122 @t127))) % 0.39/0.61 (define @t129 () (not @t128)) % 0.39/0.61 (define @t130 () (or @t107 @t129)) % 0.39/0.61 (define @t131 () (@quantifiers_skolemize @t128 0)) % 0.39/0.61 (define @t132 () (tptp.member @t131 @t89)) % 0.39/0.61 (define @t133 () (tptp.apply @t90 @t104 @t131)) % 0.39/0.61 (define @t134 () (not @t133)) % 0.39/0.61 (define @t135 () (not @t132)) % 0.39/0.61 (define @t136 () (or @t135 @t134)) % 0.39/0.61 (define @t137 () (@list @t136)) % 0.39/0.61 (define @t138 () (not @t43)) % 0.39/0.61 (define @t139 () (or @t118 @t117 @t138)) % 0.39/0.61 (define @t140 () (not (forall @t16 @t139))) % 0.39/0.61 (define @t141 () (= @t50 @t140)) % 0.39/0.61 (define @t142 () (not @t48)) % 0.39/0.61 (define @t143 () (forall @t16 (not @t44))) % 0.39/0.61 (define @t144 () (not @t143)) % 0.39/0.61 (define @t145 () (forall @t16 (or @t122 @t127 (not (tptp.apply @t91 @t13 @t104))))) % 0.39/0.61 (define @t146 () (not @t145)) % 0.39/0.61 (define @t147 () (= @t106 @t146)) % 0.39/0.61 (define @t148 () (or @t107 @t107 @t147)) % 0.39/0.61 (define @t149 () (not @t147)) % 0.39/0.61 (define @t150 () (tptp.apply @t91 @t131 @t104)) % 0.39/0.61 (define @t151 () (not @t150)) % 0.39/0.61 (define @t152 () (or @t135 @t134 @t151)) % 0.39/0.61 (define @t153 () (= @t133 @t150)) % 0.39/0.61 (define @t154 () (not @t153)) % 0.39/0.61 (define @t155 () (or @t107 @t135 @t153)) % 0.39/0.61 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.39/0.61 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.39/0.61 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.39/0.61 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.39/0.61 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.39/0.61 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.39/0.61 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.39/0.61 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.39/0.61 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.39/0.61 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.39/0.61 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.39/0.61 (assume @p12 @t40) % 0.39/0.61 (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)))))) % 0.39/0.61 (assume @p14 @t53) % 0.39/0.61 (assume @p15 (forall (@list @t20 @t42 @t4 @t1) (= (tptp.equal_maps @t20 @t42 @t4 @t1) (forall @t28 (=> @t27 (=> (and @t22 (tptp.apply @t42 @t2 @t17)) @t19)))))) % 0.39/0.61 (assume @p16 @t58) % 0.39/0.61 (assume @p17 (forall @t39 (= @t63 (forall (@list @t60 @t59 @t13) (=> (and @t62 @t61 @t31) (=> (and (tptp.apply @t20 @t60 @t13) (tptp.apply @t20 @t59 @t13)) (= @t60 @t59))))))) % 0.39/0.61 (assume @p18 (forall @t39 (= @t64 (forall @t16 (=> @t31 (exists (@list @t11) (and (tptp.member @t11 @t4) (tptp.apply @t20 @t11 @t13)))))))) % 0.39/0.61 (assume @p19 (forall @t39 (= @t65 (and @t63 @t64)))) % 0.39/0.61 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t66 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.39/0.61 (assume @p21 @t69) % 0.39/0.61 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t70))) % 0.39/0.61 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t70)))) % 0.39/0.61 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.39/0.61 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.39/0.61 (assume @p26 (forall @t79 (= (tptp.increasing @t20 @t4 @t75 @t1 @t71) (forall @t78 (=> @t77 @t72))))) % 0.39/0.61 (assume @p27 (forall @t79 (= (tptp.decreasing @t20 @t4 @t75 @t1 @t71) (forall @t78 (=> @t77 (tptp.apply @t71 @t17 @t18)))))) % 0.39/0.61 (assume @p28 (forall @t79 (= (tptp.isomorphism @t20 @t4 @t75 @t1 @t71) (and @t37 @t65 (forall @t78 (=> (and @t62 @t26 @t61 @t25 @t74 @t73) (= @t76 @t72))))))) % 0.39/0.61 (assume @p29 @t83) % 0.39/0.61 (assume @p30 true) % 0.39/0.61 (step @p31 :rule bool-impl-elim :args (@t5 @t54)) % 0.39/0.61 (step @p32 :rule cong :premises (@p31) :args (@t55)) % 0.39/0.61 (step @p33 :rule refl :args (@t56)) % 0.39/0.61 (step @p34 :rule cong :premises (@p33 @p32) :args (@t57)) % 0.39/0.61 (step @p35 :rule cong :premises (@p34) :args (@t58)) % 0.39/0.61 (step @p36 :rule eq_resolve :premises (@p16 @p35)) % 0.39/0.61 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t92 @t88))) % 0.39/0.61 (step @p38 :rule aci_norm :args ((= (or (or @t85 @t84) @t80) @t86))) % 0.39/0.61 (step @p39 :rule refl :args (@t80)) % 0.39/0.61 (step @p40 :rule bool-and-de-morgan :args (@t37 @t65 true)) % 0.39/0.61 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t81) @t80))) % 0.39/0.61 (step @p42 :rule trans :premises (@p41 @p38)) % 0.39/0.61 (step @p43 :rule bool-impl-elim :args (@t81 @t80)) % 0.39/0.61 (step @p44 :rule trans :premises (@p43 @p42)) % 0.39/0.61 (step @p45 :rule cong :premises (@p44) :args (@t82)) % 0.39/0.61 (step @p46 :rule cong :premises (@p45) :args (@t83)) % 0.39/0.61 (step @p47 :rule eq_resolve :premises (@p29 @p46)) % 0.39/0.61 (step @p48 :rule skolemize :premises (@p47)) % 0.39/0.61 (step @p49 :rule cnf_or_neg :args (@t96 2)) % 0.39/0.61 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args ((not @t93) @t97 @t98)) % 0.39/0.61 (step @p51 :rule cnf_equiv_pos2 :args (@t101)) % 0.39/0.61 (step @p52 :rule reordering :premises (@p51) :args ((or @t93 @t102 (not @t101)))) % 0.39/0.61 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p37) :args (@t102 @t103 (@list @t93 @t101))) % 0.39/0.61 (step @p54 :rule skolemize :premises (@p53)) % 0.39/0.61 (step @p55 :rule bool-double-not-elim :args (@t105)) % 0.39/0.61 (step @p56 :rule refl :args (@t108)) % 0.39/0.61 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t108 (not @t107)))) % 0.39/0.61 (step @p58 :rule cnf_or_neg :args (@t108 0)) % 0.39/0.61 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.39/0.61 (step @p60 :rule reordering :premises (@p59) :args ((or @t105 @t108))) % 0.39/0.61 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t105 @t97 @t109)) % 0.39/0.61 (step @p62 :rule aci_norm :args ((= (or @t116 @t115) (or @t114 @t113 @t112 @t111 @t110 @t19)))) % 0.39/0.61 (step @p63 :rule aci_norm :args ((= (or (or @t111 @t110) @t19) @t115))) % 0.39/0.61 (step @p64 :rule refl :args (@t19)) % 0.39/0.61 (step @p65 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.39/0.61 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t23) @t19))) % 0.39/0.61 (step @p67 :rule trans :premises (@p66 @p63)) % 0.39/0.61 (step @p68 :rule bool-impl-elim :args (@t23 @t19)) % 0.39/0.61 (step @p69 :rule trans :premises (@p68 @p67)) % 0.39/0.61 (step @p70 :rule aci_norm :args ((= (or @t114 (or @t113 @t112)) @t116))) % 0.39/0.61 (step @p71 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.39/0.61 (step @p72 :rule refl :args (@t114)) % 0.39/0.61 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t114 (not (and @t26 @t25))))) % 0.39/0.61 (step @p74 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.39/0.61 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.61 (step @p76 :rule trans :premises (@p75 @p70)) % 0.39/0.61 (step @p77 :rule nary_cong :premises (@p76 @p69) :args ((or (not @t27) @t24))) % 0.39/0.61 (step @p78 :rule trans :premises (@p77 @p62)) % 0.39/0.61 (step @p79 :rule bool-impl-elim :args (@t27 @t24)) % 0.39/0.61 (step @p80 :rule trans :premises (@p79 @p78)) % 0.39/0.61 (step @p81 :rule cong :premises (@p80) :args (@t29)) % 0.39/0.61 (step @p82 :rule bool-impl-elim :args (@t5 @t119)) % 0.39/0.61 (step @p83 :rule cong :premises (@p82) :args ((forall @t6 (=> @t5 @t119)))) % 0.39/0.61 (step @p84 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.39/0.61 (step @p85 :rule cong :premises (@p84) :args (@t120)) % 0.39/0.61 (step @p86 :rule cong :premises (@p85) :args (@t121)) % 0.39/0.61 (step @p87 :rule exists-elim :args ((= @t33 @t121))) % 0.39/0.61 (step @p88 :rule trans :premises (@p87 @p86)) % 0.39/0.61 (step @p89 :rule refl :args (@t5)) % 0.39/0.61 (step @p90 :rule cong :premises (@p89 @p88) :args (@t34)) % 0.39/0.61 (step @p91 :rule cong :premises (@p90) :args (@t35)) % 0.39/0.61 (step @p92 :rule trans :premises (@p91 @p83)) % 0.39/0.61 (step @p93 :rule nary_cong :premises (@p92 @p81) :args (@t36)) % 0.39/0.61 (step @p94 :rule refl :args (@t37)) % 0.39/0.61 (step @p95 :rule cong :premises (@p94 @p93) :args (@t38)) % 0.39/0.61 (step @p96 :rule cong :premises (@p95) :args (@t40)) % 0.39/0.61 (step @p97 :rule eq_resolve :premises (@p12 @p96)) % 0.39/0.61 (step @p98 :rule instantiate :premises (@p97) :args ((@list @t90 @t88 @t89))) % 0.39/0.61 (step @p99 :rule bool-double-not-elim :args (@t94)) % 0.39/0.61 (step @p100 :rule refl :args (@t96)) % 0.39/0.61 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t96 (not @t95)))) % 0.39/0.61 (step @p102 :rule cnf_or_neg :args (@t96 0)) % 0.39/0.61 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.39/0.61 (step @p104 :rule reordering :premises (@p103) :args ((or @t94 @t96))) % 0.39/0.61 (step @p105 :rule chain_m_resolution :premises (@p104 @p48) :args (@t94 @t97 @t98)) % 0.39/0.61 (step @p106 :rule cnf_equiv_pos1 :args (@t125)) % 0.39/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t95 @t124 (not @t125)))) % 0.39/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p98) :args (@t124 @t126 (@list @t94 @t125))) % 0.39/0.61 (step @p109 :rule cnf_and_pos :args (@t124 0)) % 0.39/0.61 (step @p110 :rule reordering :premises (@p109) :args ((or @t123 (not @t124)))) % 0.39/0.61 (step @p111 :rule chain_m_resolution :premises (@p110 @p108) :args (@t123 (@list false) (@list @t124))) % 0.39/0.61 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t104))) % 0.39/0.61 (step @p113 :rule cnf_or_pos :args (@t130)) % 0.39/0.61 (step @p114 :rule reordering :premises (@p113) :args ((or @t107 @t129 (not @t130)))) % 0.39/0.61 (step @p115 :rule chain_m_resolution :premises (@p114 @p61 @p112) :args (@t129 @t126 (@list @t105 @t130))) % 0.39/0.61 (step @p116 :rule skolemize :premises (@p115)) % 0.39/0.61 (step @p117 :rule bool-double-not-elim :args (@t132)) % 0.39/0.61 (step @p118 :rule refl :args (@t136)) % 0.39/0.61 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t136 (not @t135)))) % 0.39/0.61 (step @p120 :rule cnf_or_neg :args (@t136 0)) % 0.39/0.61 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.39/0.61 (step @p122 :rule reordering :premises (@p121) :args ((or @t132 @t136))) % 0.39/0.61 (step @p123 :rule chain_m_resolution :premises (@p122 @p116) :args (@t132 @t97 @t137)) % 0.39/0.61 (step @p124 :rule aci_norm :args ((= (or (or @t114 @t142) @t141) (or @t114 @t142 @t141)))) % 0.39/0.61 (step @p125 :rule refl :args (@t141)) % 0.39/0.61 (step @p126 :rule bool-and-de-morgan :args (@t5 @t48 true)) % 0.39/0.61 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t49) @t141))) % 0.39/0.61 (step @p128 :rule trans :premises (@p127 @p124)) % 0.39/0.61 (step @p129 :rule bool-impl-elim :args (@t49 @t141)) % 0.39/0.61 (step @p130 :rule trans :premises (@p129 @p128)) % 0.39/0.61 (step @p131 :rule cong :premises (@p130) :args ((forall @t52 (=> @t49 @t141)))) % 0.39/0.61 (step @p132 :rule eq-symm :args (@t140 @t50)) % 0.39/0.61 (step @p133 :rule refl :args (@t50)) % 0.39/0.61 (step @p134 :rule aci_norm :args ((= (or @t118 (or @t117 @t138)) @t139))) % 0.39/0.61 (step @p135 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 0.39/0.61 (step @p136 :rule refl :args (@t118)) % 0.39/0.61 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t118 (not (and @t30 @t43))))) % 0.39/0.61 (step @p138 :rule bool-and-de-morgan :args (@t31 @t30 (and @t43))) % 0.39/0.61 (step @p139 :rule trans :premises (@p138 @p137)) % 0.39/0.61 (step @p140 :rule trans :premises (@p139 @p134)) % 0.39/0.61 (step @p141 :rule cong :premises (@p140) :args (@t143)) % 0.39/0.61 (step @p142 :rule cong :premises (@p141) :args (@t144)) % 0.39/0.61 (step @p143 :rule exists-elim :args ((= @t45 @t144))) % 0.39/0.61 (step @p144 :rule trans :premises (@p143 @p142)) % 0.39/0.61 (step @p145 :rule cong :premises (@p144 @p133) :args ((= @t45 @t50))) % 0.39/0.61 (step @p146 :rule trans :premises (@p145 @p132)) % 0.39/0.61 (step @p147 :rule eq-symm :args (@t50 @t45)) % 0.39/0.61 (step @p148 :rule trans :premises (@p147 @p146)) % 0.39/0.61 (step @p149 :rule refl :args (@t49)) % 0.39/0.61 (step @p150 :rule cong :premises (@p149 @p148) :args (@t51)) % 0.39/0.61 (step @p151 :rule cong :premises (@p150) :args (@t53)) % 0.39/0.61 (step @p152 :rule trans :premises (@p151 @p131)) % 0.39/0.61 (step @p153 :rule eq_resolve :premises (@p14 @p152)) % 0.39/0.61 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t91 @t90 @t88 @t89 @t88 @t104 @t104))) % 0.39/0.61 (step @p155 :rule cnf_or_pos :args (@t148)) % 0.39/0.61 (step @p156 :rule factoring :premises (@p155)) % 0.39/0.61 (step @p157 :rule reordering :premises (@p156) :args ((or @t107 @t147 (not @t148)))) % 0.39/0.61 (step @p158 :rule chain_m_resolution :premises (@p157 @p61 @p154) :args (@t147 @t126 (@list @t105 @t148))) % 0.39/0.61 (step @p159 :rule cnf_or_neg :args (@t108 1)) % 0.39/0.61 (step @p160 :rule chain_m_resolution :premises (@p159 @p54) :args ((not @t106) @t97 @t109)) % 0.39/0.61 (step @p161 :rule bool-double-not-elim :args (@t145)) % 0.39/0.61 (step @p162 :rule refl :args (@t106)) % 0.39/0.61 (step @p163 :rule refl :args (@t149)) % 0.39/0.61 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args ((or @t149 @t106 (not @t146)))) % 0.39/0.61 (step @p165 :rule cnf_equiv_pos2 :args (@t147)) % 0.39/0.61 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.39/0.61 (step @p167 :rule reordering :premises (@p166) :args ((or @t106 @t145 @t149))) % 0.39/0.61 (step @p168 :rule chain_m_resolution :premises (@p167 @p160 @p158) :args (@t145 @t103 (@list @t106 @t147))) % 0.39/0.61 (step @p169 :rule instantiate :premises (@p168) :args ((@list @t131))) % 0.39/0.61 (step @p170 :rule bool-double-not-elim :args (@t133)) % 0.39/0.61 (step @p171 :rule nary_cong :premises (@p118 @p170) :args ((or @t136 (not @t134)))) % 0.39/0.61 (step @p172 :rule cnf_or_neg :args (@t136 1)) % 0.39/0.61 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.39/0.61 (step @p174 :rule reordering :premises (@p173) :args ((or @t133 @t136))) % 0.39/0.61 (step @p175 :rule chain_m_resolution :premises (@p174 @p116) :args (@t133 @t97 @t137)) % 0.39/0.61 (step @p176 :rule cnf_or_pos :args (@t152)) % 0.39/0.61 (step @p177 :rule reordering :premises (@p176) :args ((or @t135 @t134 @t151 (not @t152)))) % 0.39/0.61 (step @p178 :rule chain_m_resolution :premises (@p177 @p123 @p175 @p169) :args (@t151 (@list false false false) (@list @t132 @t133 @t152))) % 0.39/0.61 (step @p179 :rule cnf_equiv_pos1 :args (@t153)) % 0.39/0.61 (step @p180 :rule reordering :premises (@p179) :args ((or @t134 @t150 @t154))) % 0.39/0.61 (step @p181 :rule chain_m_resolution :premises (@p180 @p175 @p178) :args (@t154 (@list false true) (@list @t133 @t150))) % 0.39/0.61 (step @p182 :rule aci_norm :args ((= (or (or @t114 @t118) @t68) (or @t114 @t118 @t68)))) % 0.39/0.61 (step @p183 :rule refl :args (@t68)) % 0.39/0.61 (step @p184 :rule bool-and-de-morgan :args (@t5 @t31 true)) % 0.39/0.61 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or (not @t66) @t68))) % 0.39/0.61 (step @p186 :rule trans :premises (@p185 @p182)) % 0.39/0.61 (step @p187 :rule bool-impl-elim :args (@t66 @t68)) % 0.39/0.61 (step @p188 :rule trans :premises (@p187 @p186)) % 0.39/0.61 (step @p189 :rule cong :premises (@p188) :args (@t69)) % 0.39/0.61 (step @p190 :rule eq_resolve :premises (@p21 @p189)) % 0.39/0.61 (step @p191 :rule instantiate :premises (@p190) :args ((@list @t90 @t88 @t89 @t104 @t131))) % 0.39/0.61 (step @p192 :rule cnf_or_pos :args (@t155)) % 0.39/0.61 (step @p193 :rule reordering :premises (@p192) :args ((or @t107 @t135 @t153 (not @t155)))) % 0.39/0.61 (step @p194 false :rule chain_m_resolution :premises (@p193 @p191 @p181 @p123 @p61) :args (false (@list false true false false) (@list @t155 @t153 @t132 @t105))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------