%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU451+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:51:52 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU451+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:35:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.37/0.61 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.k7_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.k6_relat_1 (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.k6_partfun1 (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.v4_relat_2 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.k9_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.v1_relat_2 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.v8_relat_2 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.v3_relat_2 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.61 (define @t2 () (tptp.k6_partfun1 @t1)) % 0.37/0.61 (define @t3 () (@var "C" $$unsorted)) % 0.37/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.61 (define @t5 () (tptp.k6_partfun1 @t4)) % 0.37/0.61 (define @t6 () (= (tptp.k9_relset_2 @t4 @t4 @t1 @t5 @t3) (tptp.k9_relset_2 @t4 @t1 @t1 @t3 @t2))) % 0.37/0.61 (define @t7 () (tptp.m2_relset_1 @t3 @t4 @t1)) % 0.37/0.61 (define @t8 () (@list @t4 @t1 @t3)) % 0.37/0.61 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.37/0.61 (define @t10 () (not @t9)) % 0.37/0.61 (define @t11 () (tptp.r2_hidden @t4 @t1)) % 0.37/0.61 (define @t12 () (@list @t4 @t1)) % 0.37/0.61 (define @t13 () (tptp.v1_relat_1 @t4)) % 0.37/0.61 (define @t14 () (@list @t4)) % 0.37/0.61 (define @t15 () (tptp.v1_xboole_0 @t4)) % 0.37/0.61 (define @t16 () (tptp.v1_relat_1 @t3)) % 0.37/0.61 (define @t17 () (tptp.k2_zfmisc_1 @t4 @t1)) % 0.37/0.61 (define @t18 () (tptp.k1_zfmisc_1 @t17)) % 0.37/0.61 (define @t19 () (tptp.m1_subset_1 @t3 @t18)) % 0.37/0.61 (define @t20 () (tptp.k5_relat_1 @t4 @t1)) % 0.37/0.61 (define @t21 () (tptp.v1_relat_1 @t20)) % 0.37/0.61 (define @t22 () (tptp.v1_relat_1 @t1)) % 0.37/0.61 (define @t23 () (tptp.m2_relset_1 @t5 @t4 @t4)) % 0.37/0.61 (define @t24 () (tptp.v1_partfun1 @t5 @t4 @t4)) % 0.37/0.61 (define @t25 () (forall @t14 (and @t24 @t23))) % 0.37/0.61 (define @t26 () (tptp.k6_relat_1 @t4)) % 0.37/0.61 (define @t27 () (tptp.v1_relat_1 @t26)) % 0.37/0.61 (define @t28 () (@var "D" $$unsorted)) % 0.37/0.61 (define @t29 () (@var "F" $$unsorted)) % 0.37/0.61 (define @t30 () (@var "E" $$unsorted)) % 0.37/0.61 (define @t31 () (tptp.k7_relset_1 @t4 @t1 @t3 @t28 @t30 @t29)) % 0.37/0.61 (define @t32 () (tptp.m1_relset_1 @t29 @t3 @t28)) % 0.37/0.61 (define @t33 () (tptp.m1_relset_1 @t30 @t4 @t1)) % 0.37/0.61 (define @t34 () (and @t33 @t32)) % 0.37/0.61 (define @t35 () (@list @t4 @t1 @t3 @t28 @t30 @t29)) % 0.37/0.61 (define @t36 () (tptp.k9_relset_2 @t4 @t1 @t3 @t28 @t30)) % 0.37/0.61 (define @t37 () (tptp.m1_subset_1 @t30 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t3)))) % 0.37/0.61 (define @t38 () (tptp.m1_subset_1 @t28 @t18)) % 0.37/0.61 (define @t39 () (and @t38 @t37)) % 0.37/0.61 (define @t40 () (@list @t4 @t1 @t3 @t28 @t30)) % 0.37/0.61 (define @t41 () (forall @t8 (=> @t7 @t19))) % 0.37/0.61 (define @t42 () (tptp.m1_relset_1 @t3 @t4 @t1)) % 0.37/0.61 (define @t43 () (@list @t3)) % 0.37/0.61 (define @t44 () (@list @t1)) % 0.37/0.61 (define @t45 () (tptp.k5_relat_1 @t1 @t4)) % 0.37/0.61 (define @t46 () (and @t15 @t22)) % 0.37/0.61 (define @t47 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.37/0.61 (define @t48 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.37/0.61 (define @t49 () (tptp.k1_zfmisc_1 @t4)) % 0.37/0.61 (define @t50 () (tptp.v1_xboole_0 @t1)) % 0.37/0.61 (define @t51 () (not @t50)) % 0.37/0.61 (define @t52 () (not @t15)) % 0.37/0.61 (define @t53 () (tptp.m1_subset_1 @t1 @t49)) % 0.37/0.61 (define @t54 () (= @t31 (tptp.k5_relat_1 @t30 @t29))) % 0.37/0.61 (define @t55 () (forall @t35 (=> @t34 @t54))) % 0.37/0.61 (define @t56 () (= @t36 (tptp.k5_relat_1 @t28 @t30))) % 0.37/0.61 (define @t57 () (forall @t40 (=> @t39 @t56))) % 0.37/0.61 (define @t58 () (tptp.m1_subset_1 @t4 @t1)) % 0.37/0.61 (define @t59 () (tptp.k7_relset_1 @t4 @t1 @t1 @t1 @t3 @t2)) % 0.37/0.61 (define @t60 () (tptp.k7_relset_1 @t4 @t4 @t4 @t1 @t5 @t3)) % 0.37/0.61 (define @t61 () (and (= @t60 @t3) (= @t59 @t3))) % 0.37/0.61 (define @t62 () (=> @t7 @t61)) % 0.37/0.61 (define @t63 () (forall @t8 @t62)) % 0.37/0.61 (define @t64 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3))) % 0.37/0.61 (define @t65 () (and (= @t3 @t60) (= @t3 @t59))) % 0.37/0.61 (define @t66 () (forall @t8 (or (not @t7) @t6))) % 0.37/0.61 (define @t67 () (@quantifiers_skolemize @t66 2)) % 0.37/0.61 (define @t68 () (@quantifiers_skolemize @t66 1)) % 0.37/0.61 (define @t69 () (@quantifiers_skolemize @t66 0)) % 0.37/0.61 (define @t70 () (@list @t69 @t68 @t67)) % 0.37/0.61 (define @t71 () (tptp.m2_relset_1 @t67 @t69 @t68)) % 0.37/0.61 (define @t72 () (tptp.k6_partfun1 @t68)) % 0.37/0.61 (define @t73 () (tptp.k9_relset_2 @t69 @t68 @t68 @t67 @t72)) % 0.37/0.61 (define @t74 () (tptp.k6_partfun1 @t69)) % 0.37/0.61 (define @t75 () (tptp.k9_relset_2 @t69 @t69 @t68 @t74 @t67)) % 0.37/0.61 (define @t76 () (= @t75 @t73)) % 0.37/0.61 (define @t77 () (not @t71)) % 0.37/0.61 (define @t78 () (or @t77 @t76)) % 0.37/0.61 (define @t79 () (@list true)) % 0.37/0.61 (define @t80 () (@list @t78)) % 0.37/0.61 (define @t81 () (tptp.k7_relset_1 @t69 @t68 @t68 @t68 @t67 @t72)) % 0.37/0.61 (define @t82 () (= @t67 @t81)) % 0.37/0.61 (define @t83 () (tptp.k7_relset_1 @t69 @t69 @t69 @t68 @t74 @t67)) % 0.37/0.61 (define @t84 () (= @t67 @t83)) % 0.37/0.61 (define @t85 () (and @t84 @t82)) % 0.37/0.61 (define @t86 () (or @t77 @t85)) % 0.37/0.61 (define @t87 () (@list false false)) % 0.37/0.61 (define @t88 () (not @t85)) % 0.37/0.61 (define @t89 () (@list false)) % 0.37/0.61 (define @t90 () (@list @t85)) % 0.37/0.61 (define @t91 () (not @t32)) % 0.37/0.61 (define @t92 () (not @t33)) % 0.37/0.61 (define @t93 () (or @t92 @t91 @t54)) % 0.37/0.61 (define @t94 () (tptp.k5_relat_1 @t67 @t72)) % 0.37/0.61 (define @t95 () (tptp.m1_relset_1 @t72 @t68 @t68)) % 0.37/0.61 (define @t96 () (not @t95)) % 0.37/0.61 (define @t97 () (tptp.m1_relset_1 @t67 @t69 @t68)) % 0.37/0.61 (define @t98 () (not @t97)) % 0.37/0.61 (define @t99 () (or @t98 @t96 (= @t81 @t94))) % 0.37/0.61 (define @t100 () (forall @t35 @t93)) % 0.37/0.61 (define @t101 () (= @t94 @t81)) % 0.37/0.61 (define @t102 () (or @t98 @t96 @t101)) % 0.37/0.61 (define @t103 () (@list @t100)) % 0.37/0.61 (define @t104 () (@list @t68 @t68 @t72)) % 0.37/0.61 (define @t105 () (forall @t14 @t23)) % 0.37/0.61 (define @t106 () (@list @t4)) % 0.37/0.61 (define @t107 () (forall @t14 @t24)) % 0.37/0.61 (define @t108 () (and @t107 @t105)) % 0.37/0.61 (define @t109 () (tptp.m2_relset_1 @t72 @t68 @t68)) % 0.37/0.61 (define @t110 () (= @t109 @t95)) % 0.37/0.61 (define @t111 () (not @t109)) % 0.37/0.61 (define @t112 () (= @t71 @t97)) % 0.37/0.61 (define @t113 () (@list false false false)) % 0.37/0.61 (define @t114 () (not @t37)) % 0.37/0.61 (define @t115 () (not @t38)) % 0.37/0.61 (define @t116 () (tptp.m1_subset_1 @t72 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t68 @t68)))) % 0.37/0.61 (define @t117 () (or @t111 @t116)) % 0.37/0.61 (define @t118 () (tptp.m1_subset_1 @t67 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t69 @t68)))) % 0.37/0.61 (define @t119 () (or @t77 @t118)) % 0.37/0.61 (define @t120 () (= @t73 @t94)) % 0.37/0.61 (define @t121 () (not @t116)) % 0.37/0.61 (define @t122 () (not @t118)) % 0.37/0.61 (define @t123 () (or @t122 @t121 @t120)) % 0.37/0.61 (define @t124 () (tptp.k5_relat_1 @t74 @t67)) % 0.37/0.61 (define @t125 () (tptp.m1_relset_1 @t74 @t69 @t69)) % 0.37/0.61 (define @t126 () (not @t125)) % 0.37/0.61 (define @t127 () (or @t126 @t98 (= @t83 @t124))) % 0.37/0.61 (define @t128 () (= @t124 @t83)) % 0.37/0.61 (define @t129 () (or @t126 @t98 @t128)) % 0.37/0.61 (define @t130 () (@list @t69 @t69 @t74)) % 0.37/0.61 (define @t131 () (tptp.m2_relset_1 @t74 @t69 @t69)) % 0.37/0.61 (define @t132 () (= @t131 @t125)) % 0.37/0.61 (define @t133 () (not @t131)) % 0.37/0.61 (define @t134 () (tptp.m1_subset_1 @t74 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t69 @t69)))) % 0.37/0.61 (define @t135 () (or @t133 @t134)) % 0.37/0.61 (define @t136 () (= @t75 @t124)) % 0.37/0.61 (define @t137 () (not @t134)) % 0.37/0.61 (define @t138 () (or @t137 @t122 @t136)) % 0.37/0.61 (assume @p1 @t10) % 0.37/0.61 (assume @p2 (forall @t12 (=> @t11 (not (tptp.r2_hidden @t1 @t4))))) % 0.37/0.61 (assume @p3 (forall @t14 (=> (and @t13 (tptp.v3_relat_2 @t4) (tptp.v8_relat_2 @t4)) (and @t13 (tptp.v1_relat_2 @t4))))) % 0.37/0.61 (assume @p4 (forall @t14 (=> @t15 @t13))) % 0.37/0.61 (assume @p5 (forall @t8 (=> @t19 @t16))) % 0.37/0.61 (assume @p6 true) % 0.37/0.61 (assume @p7 (forall @t12 (=> (and @t13 @t22) @t21))) % 0.37/0.61 (assume @p8 @t25) % 0.37/0.61 (assume @p9 (forall @t14 @t27)) % 0.37/0.61 (assume @p10 (forall @t35 (=> @t34 (tptp.m2_relset_1 @t31 @t4 @t28)))) % 0.37/0.61 (assume @p11 (forall @t40 (=> @t39 (tptp.m2_relset_1 @t36 @t4 @t3)))) % 0.37/0.61 (assume @p12 @t41) % 0.37/0.61 (assume @p13 (forall @t12 (exists @t43 @t42))) % 0.37/0.61 (assume @p14 (forall @t14 (exists @t44 (tptp.m1_subset_1 @t1 @t4)))) % 0.37/0.61 (assume @p15 (forall @t12 (exists @t43 @t7))) % 0.37/0.61 (assume @p16 (forall @t12 (=> @t46 (and (tptp.v1_xboole_0 @t45) (tptp.v1_relat_1 @t45))))) % 0.37/0.61 (assume @p17 (and @t48 @t47 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.37/0.61 (assume @p18 (forall @t14 (not (tptp.v1_xboole_0 @t49)))) % 0.37/0.61 (assume @p19 (forall @t12 (tptp.v1_relat_1 @t17))) % 0.37/0.61 (assume @p20 (forall @t14 (and @t27 (tptp.v1_funct_1 @t26) (tptp.v1_relat_2 @t26) (tptp.v3_relat_2 @t26) (tptp.v4_relat_2 @t26) (tptp.v8_relat_2 @t26)))) % 0.37/0.61 (assume @p21 (and @t48 @t47)) % 0.37/0.61 (assume @p22 (forall @t12 (=> (and @t52 @t51) (not (tptp.v1_xboole_0 @t17))))) % 0.37/0.61 (assume @p23 (forall @t12 (=> @t46 (and (tptp.v1_xboole_0 @t20) @t21)))) % 0.37/0.61 (assume @p24 (exists @t14 (and @t15 @t13))) % 0.37/0.61 (assume @p25 (forall @t14 (=> @t52 (exists @t44 (and @t53 @t51))))) % 0.37/0.61 (assume @p26 (forall @t12 (exists @t43 (and @t42 @t16 (tptp.v1_funct_1 @t3))))) % 0.37/0.61 (assume @p27 (exists @t14 (and @t52 @t13))) % 0.37/0.61 (assume @p28 (forall @t14 (exists @t44 (and @t53 @t50)))) % 0.37/0.61 (assume @p29 (forall @t14 (exists @t44 (and (tptp.m1_relset_1 @t1 @t4 @t4) @t22 (tptp.v1_relat_2 @t1) (tptp.v3_relat_2 @t1) (tptp.v4_relat_2 @t1) (tptp.v8_relat_2 @t1) (tptp.v1_partfun1 @t1 @t4 @t4))))) % 0.37/0.61 (assume @p30 (exists @t14 (and @t13 (tptp.v3_relat_1 @t4)))) % 0.37/0.61 (assume @p31 (forall @t14 (= @t5 @t26))) % 0.37/0.61 (assume @p32 @t55) % 0.37/0.61 (assume @p33 @t57) % 0.37/0.61 (assume @p34 (forall @t8 (= @t7 @t42))) % 0.37/0.61 (assume @p35 (forall @t12 (tptp.r1_tarski @t4 @t4))) % 0.37/0.61 (assume @p36 (forall @t12 (=> @t11 @t58))) % 0.37/0.61 (assume @p37 @t63) % 0.37/0.61 (assume @p38 (forall @t12 (=> @t58 (or @t50 @t11)))) % 0.37/0.61 (assume @p39 (forall @t12 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t4 @t1)))) % 0.37/0.61 (assume @p40 (forall @t8 (=> (and @t11 @t64) (tptp.m1_subset_1 @t4 @t3)))) % 0.37/0.61 (assume @p41 (forall @t8 (not (and @t11 @t64 (tptp.v1_xboole_0 @t3))))) % 0.37/0.61 (assume @p42 (forall @t14 (=> @t15 (= @t4 tptp.k1_xboole_0)))) % 0.37/0.61 (assume @p43 (forall @t12 (not (and @t11 @t50)))) % 0.37/0.61 (assume @p44 (forall @t12 (not (and @t15 (not (= @t4 @t1)) @t50)))) % 0.37/0.61 (step @p45 :rule evaluate :args ((= false true))) % 0.37/0.61 (step @p46 :rule bool-impl-elim :args (@t7 @t65)) % 0.37/0.61 (step @p47 :rule cong :premises (@p46) :args ((forall @t8 (=> @t7 @t65)))) % 0.37/0.61 (step @p48 :rule eq-symm :args (@t59 @t3)) % 0.37/0.61 (step @p49 :rule eq-symm :args (@t60 @t3)) % 0.37/0.61 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t61)) % 0.37/0.61 (step @p51 :rule refl :args (@t7)) % 0.37/0.61 (step @p52 :rule cong :premises (@p51 @p50) :args (@t62)) % 0.37/0.61 (step @p53 :rule cong :premises (@p52) :args (@t63)) % 0.37/0.61 (step @p54 :rule trans :premises (@p53 @p47)) % 0.37/0.61 (step @p55 :rule eq_resolve :premises (@p37 @p54)) % 0.37/0.61 (step @p56 :rule instantiate :premises (@p55) :args (@t70)) % 0.37/0.61 (step @p57 :rule bool-impl-elim :args (@t7 @t6)) % 0.37/0.61 (step @p58 :rule cong :premises (@p57) :args (@t9)) % 0.37/0.61 (step @p59 :rule cong :premises (@p58) :args (@t10)) % 0.37/0.61 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.37/0.61 (step @p61 :rule skolemize :premises (@p60)) % 0.37/0.61 (step @p62 :rule bool-double-not-elim :args (@t71)) % 0.37/0.61 (step @p63 :rule refl :args (@t78)) % 0.37/0.61 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t78 (not @t77)))) % 0.37/0.61 (step @p65 :rule cnf_or_neg :args (@t78 0)) % 0.37/0.61 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.37/0.61 (step @p67 :rule reordering :premises (@p66) :args ((or @t71 @t78))) % 0.37/0.61 (step @p68 :rule chain_m_resolution :premises (@p67 @p61) :args (@t71 @t79 @t80)) % 0.37/0.61 (step @p69 :rule cnf_or_pos :args (@t86)) % 0.37/0.61 (step @p70 :rule reordering :premises (@p69) :args ((or @t77 @t85 (not @t86)))) % 0.37/0.61 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p56) :args (@t85 @t87 (@list @t71 @t86))) % 0.37/0.61 (step @p72 :rule cnf_and_pos :args (@t85 0)) % 0.37/0.61 (step @p73 :rule reordering :premises (@p72) :args ((or @t84 @t88))) % 0.37/0.61 (step @p74 :rule chain_m_resolution :premises (@p73 @p71) :args (@t84 @t89 @t90)) % 0.37/0.61 (step @p75 :rule cnf_and_pos :args (@t85 1)) % 0.37/0.61 (step @p76 :rule reordering :premises (@p75) :args ((or @t82 @t88))) % 0.37/0.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p71) :args (@t82 @t89 @t90)) % 0.37/0.61 (step @p78 :rule symm :premises (@p77)) % 0.37/0.61 (step @p79 :rule aci_norm :args ((= (or (or @t92 @t91) @t54) @t93))) % 0.37/0.61 (step @p80 :rule refl :args (@t54)) % 0.37/0.61 (step @p81 :rule bool-and-de-morgan :args (@t33 @t32 true)) % 0.37/0.61 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t34) @t54))) % 0.37/0.61 (step @p83 :rule trans :premises (@p82 @p79)) % 0.37/0.61 (step @p84 :rule bool-impl-elim :args (@t34 @t54)) % 0.37/0.61 (step @p85 :rule trans :premises (@p84 @p83)) % 0.37/0.61 (step @p86 :rule cong :premises (@p85) :args (@t55)) % 0.37/0.61 (step @p87 :rule eq_resolve :premises (@p32 @p86)) % 0.37/0.61 (step @p88 :rule eq-symm :args (@t81 @t94)) % 0.37/0.61 (step @p89 :rule refl :args (@t96)) % 0.37/0.61 (step @p90 :rule refl :args (@t98)) % 0.37/0.61 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t99)) % 0.37/0.61 (step @p92 :rule refl :args (@t100)) % 0.37/0.61 (step @p93 :rule cong :premises (@p92 @p91) :args ((=> @t100 @t99))) % 0.37/0.61 (assume-push @p183 @t100) % 0.37/0.61 (step @p95 :rule instantiate :premises (@p87) :args ((@list @t69 @t68 @t68 @t68 @t67 @t72))) % 0.37/0.61 (step-pop @p184 :rule scope :premises (@p95)) % 0.37/0.61 (step @p96 :rule process_scope :premises (@p184) :args (@t99)) % 0.37/0.61 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.37/0.61 (step @p99 :rule implies_elim :premises (@p98)) % 0.37/0.61 (step @p100 :rule chain_m_resolution :premises (@p99 @p87) :args (@t102 @t89 @t103)) % 0.37/0.61 (step @p101 :rule instantiate :premises (@p34) :args (@t104)) % 0.37/0.61 (step @p102 :rule alpha_equiv :args (@t105 @t106 (@list (@var "BOUND_VARIABLE_7673" $$unsorted)))) % 0.37/0.61 (step @p103 :rule alpha_equiv :args (@t107 @t106 (@list (@var "BOUND_VARIABLE_7667" $$unsorted)))) % 0.37/0.61 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t108)) % 0.37/0.61 (step @p105 :rule quant-miniscope-and :args ((= @t25 @t108))) % 0.37/0.61 (step @p106 :rule trans :premises (@p105 @p104)) % 0.37/0.61 (step @p107 :rule eq_resolve :premises (@p8 @p106)) % 0.37/0.61 (step @p108 :rule and_elim :premises (@p107) :args (1)) % 0.37/0.61 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t68))) % 0.37/0.61 (step @p110 :rule cnf_equiv_pos1 :args (@t110)) % 0.37/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t111 @t95 (not @t110)))) % 0.37/0.61 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p101) :args (@t95 @t87 (@list @t109 @t110))) % 0.37/0.61 (step @p113 :rule instantiate :premises (@p34) :args (@t70)) % 0.37/0.61 (step @p114 :rule cnf_equiv_pos1 :args (@t112)) % 0.37/0.61 (step @p115 :rule reordering :premises (@p114) :args ((or @t77 @t97 (not @t112)))) % 0.37/0.61 (step @p116 :rule chain_m_resolution :premises (@p115 @p68 @p113) :args (@t97 @t87 (@list @t71 @t112))) % 0.37/0.61 (step @p117 :rule cnf_or_pos :args (@t102)) % 0.37/0.61 (step @p118 :rule reordering :premises (@p117) :args ((or @t98 @t96 @t101 (not @t102)))) % 0.37/0.61 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p112 @p100) :args (@t101 @t113 (@list @t97 @t95 @t102))) % 0.37/0.61 (step @p120 :rule aci_norm :args ((= (or (or @t115 @t114) @t56) (or @t115 @t114 @t56)))) % 0.37/0.61 (step @p121 :rule refl :args (@t56)) % 0.37/0.61 (step @p122 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.37/0.61 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t39) @t56))) % 0.37/0.61 (step @p124 :rule trans :premises (@p123 @p120)) % 0.37/0.61 (step @p125 :rule bool-impl-elim :args (@t39 @t56)) % 0.37/0.61 (step @p126 :rule trans :premises (@p125 @p124)) % 0.37/0.61 (step @p127 :rule cong :premises (@p126) :args (@t57)) % 0.37/0.61 (step @p128 :rule eq_resolve :premises (@p33 @p127)) % 0.37/0.61 (step @p129 :rule instantiate :premises (@p128) :args ((@list @t69 @t68 @t68 @t67 @t72))) % 0.37/0.61 (step @p130 :rule bool-impl-elim :args (@t7 @t19)) % 0.37/0.61 (step @p131 :rule cong :premises (@p130) :args (@t41)) % 0.37/0.61 (step @p132 :rule eq_resolve :premises (@p12 @p131)) % 0.37/0.61 (step @p133 :rule instantiate :premises (@p132) :args (@t104)) % 0.37/0.61 (step @p134 :rule cnf_or_pos :args (@t117)) % 0.37/0.61 (step @p135 :rule reordering :premises (@p134) :args ((or @t116 @t111 (not @t117)))) % 0.37/0.61 (step @p136 :rule chain_m_resolution :premises (@p135 @p109 @p133) :args (@t116 @t87 (@list @t109 @t117))) % 0.37/0.61 (step @p137 :rule instantiate :premises (@p132) :args (@t70)) % 0.37/0.61 (step @p138 :rule cnf_or_pos :args (@t119)) % 0.37/0.61 (step @p139 :rule reordering :premises (@p138) :args ((or @t77 @t118 (not @t119)))) % 0.37/0.61 (step @p140 :rule chain_m_resolution :premises (@p139 @p68 @p137) :args (@t118 @t87 (@list @t71 @t119))) % 0.37/0.61 (step @p141 :rule cnf_or_pos :args (@t123)) % 0.37/0.61 (step @p142 :rule reordering :premises (@p141) :args ((or @t122 @t121 @t120 (not @t123)))) % 0.37/0.61 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p136 @p129) :args (@t120 @t113 (@list @t118 @t116 @t123))) % 0.37/0.61 (step @p144 :rule trans :premises (@p143 @p119 @p78 @p74)) % 0.37/0.61 (step @p145 :rule symm :premises (@p144)) % 0.37/0.61 (step @p146 :rule symm :premises (@p74)) % 0.37/0.61 (step @p147 :rule eq-symm :args (@t83 @t124)) % 0.37/0.61 (step @p148 :rule refl :args (@t126)) % 0.37/0.61 (step @p149 :rule nary_cong :premises (@p148 @p90 @p147) :args (@t127)) % 0.37/0.61 (step @p150 :rule cong :premises (@p92 @p149) :args ((=> @t100 @t127))) % 0.37/0.61 (assume-push @p185 @t100) % 0.37/0.61 (step @p152 :rule instantiate :premises (@p87) :args ((@list @t69 @t69 @t69 @t68 @t74 @t67))) % 0.37/0.61 (step-pop @p186 :rule scope :premises (@p152)) % 0.37/0.61 (step @p153 :rule process_scope :premises (@p186) :args (@t127)) % 0.37/0.61 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 0.37/0.61 (step @p156 :rule implies_elim :premises (@p155)) % 0.37/0.61 (step @p157 :rule chain_m_resolution :premises (@p156 @p87) :args (@t129 @t89 @t103)) % 0.37/0.61 (step @p158 :rule instantiate :premises (@p34) :args (@t130)) % 0.37/0.61 (step @p159 :rule instantiate :premises (@p108) :args ((@list @t69))) % 0.37/0.61 (step @p160 :rule cnf_equiv_pos1 :args (@t132)) % 0.37/0.61 (step @p161 :rule reordering :premises (@p160) :args ((or @t133 @t125 (not @t132)))) % 0.37/0.61 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p158) :args (@t125 @t87 (@list @t131 @t132))) % 0.37/0.61 (step @p163 :rule cnf_or_pos :args (@t129)) % 0.37/0.61 (step @p164 :rule reordering :premises (@p163) :args ((or @t98 @t126 @t128 (not @t129)))) % 0.37/0.61 (step @p165 :rule chain_m_resolution :premises (@p164 @p116 @p162 @p157) :args (@t128 @t113 (@list @t97 @t125 @t129))) % 0.37/0.61 (step @p166 :rule instantiate :premises (@p128) :args ((@list @t69 @t69 @t68 @t74 @t67))) % 0.37/0.61 (step @p167 :rule instantiate :premises (@p132) :args (@t130)) % 0.37/0.61 (step @p168 :rule cnf_or_pos :args (@t135)) % 0.37/0.61 (step @p169 :rule reordering :premises (@p168) :args ((or @t134 @t133 (not @t135)))) % 0.37/0.61 (step @p170 :rule chain_m_resolution :premises (@p169 @p159 @p167) :args (@t134 @t87 (@list @t131 @t135))) % 0.37/0.61 (step @p171 :rule cnf_or_pos :args (@t138)) % 0.37/0.61 (step @p172 :rule reordering :premises (@p171) :args ((or @t137 @t122 @t136 (not @t138)))) % 0.37/0.61 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p140 @p166) :args (@t136 @t113 (@list @t134 @t118 @t138))) % 0.37/0.61 (step @p174 :rule trans :premises (@p173 @p165 @p146)) % 0.37/0.61 (step @p175 :rule trans :premises (@p174 @p74 @p145)) % 0.37/0.61 (step @p176 :rule true_intro :premises (@p175)) % 0.37/0.61 (step @p177 :rule cnf_or_neg :args (@t78 1)) % 0.37/0.61 (step @p178 :rule chain_m_resolution :premises (@p177 @p61) :args ((not @t76) @t79 @t80)) % 0.37/0.61 (step @p179 :rule false_intro :premises (@p178)) % 0.37/0.61 (step @p180 :rule symm :premises (@p179)) % 0.37/0.61 (step @p181 :rule trans :premises (@p180 @p176)) % 0.37/0.61 (step @p182 false :rule eq_resolve :premises (@p181 @p45)) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------