%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU429+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 08:51:45 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU429+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 % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:23:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.38/0.58 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.a_4_1_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t2 () (tptp.k1_zfmisc_1 @t1)) % 0.38/0.58 (define @t3 () (tptp.k1_zfmisc_1 @t2)) % 0.38/0.58 (define @t4 () (@var "D" $$unsorted)) % 0.38/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t6 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t7 () (tptp.m1_subset_1 (tptp.a_4_1_relset_2 @t6 @t1 @t5 @t4) @t3)) % 0.38/0.58 (define @t8 () (tptp.m2_relset_1 @t4 @t6 @t1)) % 0.38/0.58 (define @t9 () (@list @t4)) % 0.38/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.38/0.58 (define @t11 () (tptp.k1_zfmisc_1 @t6)) % 0.38/0.58 (define @t12 () (tptp.k1_zfmisc_1 @t11)) % 0.38/0.58 (define @t13 () (tptp.m1_subset_1 @t5 @t12)) % 0.38/0.58 (define @t14 () (=> @t13 @t10)) % 0.38/0.58 (define @t15 () (@list @t1 @t5)) % 0.38/0.58 (define @t16 () (forall @t15 @t14)) % 0.38/0.58 (define @t17 () (tptp.v1_xboole_0 @t6)) % 0.38/0.58 (define @t18 () (not @t17)) % 0.38/0.58 (define @t19 () (=> @t18 @t16)) % 0.38/0.58 (define @t20 () (@list @t6)) % 0.38/0.58 (define @t21 () (forall @t20 @t19)) % 0.38/0.58 (define @t22 () (not @t21)) % 0.38/0.58 (define @t23 () (tptp.r2_hidden @t6 @t1)) % 0.38/0.58 (define @t24 () (@list @t6 @t1)) % 0.38/0.58 (define @t25 () (tptp.v1_relat_1 @t6)) % 0.38/0.58 (define @t26 () (tptp.v1_relat_1 @t5)) % 0.38/0.58 (define @t27 () (tptp.k2_zfmisc_1 @t6 @t1)) % 0.38/0.58 (define @t28 () (tptp.k1_zfmisc_1 @t27)) % 0.38/0.58 (define @t29 () (tptp.m1_subset_1 @t5 @t28)) % 0.38/0.58 (define @t30 () (@list @t6 @t1 @t5)) % 0.38/0.58 (define @t31 () (tptp.k7_relset_2 @t6 @t1 @t5 @t4)) % 0.38/0.58 (define @t32 () (tptp.m1_subset_1 @t4 @t28)) % 0.38/0.58 (define @t33 () (tptp.m1_subset_1 @t5 @t11)) % 0.38/0.58 (define @t34 () (tptp.k4_relset_2 @t6 @t1 @t5 @t4)) % 0.38/0.58 (define @t35 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t6 @t2)))) % 0.38/0.58 (define @t36 () (@list @t6 @t1 @t5 @t4)) % 0.38/0.58 (define @t37 () (tptp.k5_relset_2 @t6 @t1)) % 0.38/0.58 (define @t38 () (tptp.k6_relset_2 @t6 @t1 @t5)) % 0.38/0.58 (define @t39 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t6)))) % 0.38/0.58 (define @t40 () (tptp.k8_relset_2 @t6 @t1 @t5 @t4)) % 0.38/0.58 (define @t41 () (and @t33 @t32)) % 0.38/0.58 (define @t42 () (tptp.m1_subset_1 @t1 @t12)) % 0.38/0.58 (define @t43 () (tptp.m1_eqrel_1 @t1 @t6)) % 0.38/0.58 (define @t44 () (tptp.m2_relset_1 @t5 @t6 @t1)) % 0.38/0.58 (define @t45 () (@list @t1)) % 0.38/0.58 (define @t46 () (tptp.m1_relset_1 @t5 @t6 @t1)) % 0.38/0.58 (define @t47 () (@list @t5)) % 0.38/0.58 (define @t48 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.38/0.58 (define @t49 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.38/0.58 (define @t50 () (tptp.v1_xboole_0 @t1)) % 0.38/0.58 (define @t51 () (not @t50)) % 0.38/0.58 (define @t52 () (@var "F" $$unsorted)) % 0.38/0.58 (define @t53 () (@var "E" $$unsorted)) % 0.38/0.58 (define @t54 () (tptp.m1_subset_1 @t1 @t11)) % 0.38/0.58 (define @t55 () (and @t18 @t13 @t8)) % 0.38/0.58 (define @t56 () (forall @t36 (=> @t55 @t7))) % 0.38/0.58 (define @t57 () (tptp.m1_subset_1 @t6 @t1)) % 0.38/0.58 (define @t58 () (= @t6 @t1)) % 0.38/0.58 (define @t59 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t5))) % 0.38/0.58 (define @t60 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 0.38/0.58 (define @t61 () (@var "BOUND_VARIABLE_7682" $$unsorted)) % 0.38/0.58 (define @t62 () (@var "BOUND_VARIABLE_7680" $$unsorted)) % 0.38/0.58 (define @t63 () (tptp.m1_subset_1 (tptp.a_4_1_relset_2 @t6 @t60 @t62 @t61) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 @t60)))) % 0.38/0.58 (define @t64 () (not (tptp.m2_relset_1 @t61 @t6 @t60))) % 0.38/0.58 (define @t65 () (not (tptp.m1_subset_1 @t62 @t12))) % 0.38/0.58 (define @t66 () (or @t17 @t65 @t64 @t63)) % 0.38/0.58 (define @t67 () (or @t65 @t64 @t63)) % 0.38/0.58 (define @t68 () (or @t17 @t67)) % 0.38/0.58 (define @t69 () (@list @t6 @t60 @t62 @t61)) % 0.38/0.58 (define @t70 () (forall @t69 @t68)) % 0.38/0.58 (define @t71 () (@list @t60 @t62 @t61)) % 0.38/0.58 (define @t72 () (forall @t71 @t68)) % 0.38/0.58 (define @t73 () (forall @t71 @t67)) % 0.38/0.58 (define @t74 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 0.38/0.58 (define @t75 () (or @t17 @t73)) % 0.38/0.58 (define @t76 () (tptp.m1_subset_1 (tptp.a_4_1_relset_2 @t6 @t1 @t5 @t74) @t3)) % 0.38/0.58 (define @t77 () (not (tptp.m2_relset_1 @t74 @t6 @t1))) % 0.38/0.58 (define @t78 () (not @t13)) % 0.38/0.58 (define @t79 () (or @t78 @t77 @t76)) % 0.38/0.58 (define @t80 () (@list @t1 @t5 @t74)) % 0.38/0.58 (define @t81 () (forall @t80 @t79)) % 0.38/0.58 (define @t82 () (not @t18)) % 0.38/0.58 (define @t83 () (or @t77 @t76)) % 0.38/0.58 (define @t84 () (or @t78 @t83)) % 0.38/0.58 (define @t85 () (forall @t80 @t84)) % 0.38/0.58 (define @t86 () (@list @t74)) % 0.38/0.58 (define @t87 () (forall @t86 @t84)) % 0.38/0.58 (define @t88 () (forall @t86 @t83)) % 0.38/0.58 (define @t89 () (or @t78 @t88)) % 0.38/0.58 (define @t90 () (not @t8)) % 0.38/0.58 (define @t91 () (forall @t9 (or @t90 @t7))) % 0.38/0.58 (define @t92 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 0.38/0.58 (define @t93 () (@var "BOUND_VARIABLE_8198" $$unsorted)) % 0.38/0.58 (define @t94 () (@var "BOUND_VARIABLE_8201" $$unsorted)) % 0.38/0.58 (define @t95 () (@var "BOUND_VARIABLE_8199" $$unsorted)) % 0.38/0.58 (define @t96 () (@list @t93 @t95 @t92 @t94)) % 0.38/0.58 (define @t97 () (forall @t69 @t66)) % 0.38/0.58 (define @t98 () (or @t17 @t78 @t90 @t7)) % 0.38/0.58 (define @t99 () (forall @t36 @t98)) % 0.38/0.58 (define @t100 () (@list true)) % 0.38/0.58 (define @t101 () (or @t82 @t78 @t90)) % 0.38/0.58 (assume @p1 @t22) % 0.38/0.58 (assume @p2 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t1 @t6))))) % 0.38/0.58 (assume @p3 (forall @t20 (=> @t17 @t25))) % 0.38/0.58 (assume @p4 (forall @t30 (=> @t29 @t26))) % 0.38/0.58 (assume @p5 (forall @t30 (=> @t33 (forall @t9 (=> @t32 (= @t31 (tptp.k8_setfam_1 @t1 (tptp.k4_relset_2 @t11 @t1 (tptp.k6_relset_2 @t1 @t6 @t4) (tptp.k3_pua2mss1 @t5))))))))) % 0.38/0.58 (assume @p6 true) % 0.38/0.58 (assume @p7 (forall @t20 (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 @t6) @t6))) % 0.38/0.58 (assume @p8 (forall @t36 (=> @t35 (tptp.m1_subset_1 @t34 @t3)))) % 0.38/0.58 (assume @p9 (forall @t24 (=> (tptp.v1_relat_1 @t1) (and (tptp.v1_relat_1 @t37) (tptp.v1_funct_1 @t37))))) % 0.38/0.58 (assume @p10 (forall @t30 (=> @t39 (and (tptp.v1_funct_1 @t38) (tptp.v1_funct_2 @t38 @t2 @t11) (tptp.m2_relset_1 @t38 @t2 @t11))))) % 0.38/0.58 (assume @p11 (forall @t36 (=> @t41 (tptp.m1_subset_1 @t40 @t2)))) % 0.38/0.58 (assume @p12 (forall @t24 (=> @t42 (tptp.m1_subset_1 (tptp.k8_setfam_1 @t6 @t1) @t11)))) % 0.38/0.58 (assume @p13 (forall @t24 (=> @t43 @t42))) % 0.38/0.58 (assume @p14 (forall @t30 (=> @t44 @t29))) % 0.38/0.58 (assume @p15 (forall @t20 (exists @t45 @t43))) % 0.38/0.58 (assume @p16 (forall @t24 (exists @t47 @t46))) % 0.38/0.58 (assume @p17 (forall @t20 (exists @t45 (tptp.m1_subset_1 @t1 @t6)))) % 0.38/0.58 (assume @p18 (forall @t24 (exists @t47 @t44))) % 0.38/0.58 (assume @p19 (and @t49 @t48 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.38/0.58 (assume @p20 (forall @t20 (not (tptp.v1_xboole_0 @t11)))) % 0.38/0.58 (assume @p21 (forall @t24 (tptp.v1_relat_1 @t27))) % 0.38/0.58 (assume @p22 (and @t49 @t48)) % 0.38/0.58 (assume @p23 (forall @t24 (=> (and @t18 @t51) (not (tptp.v1_xboole_0 @t27))))) % 0.38/0.58 (assume @p24 (forall (@list @t6 @t1 @t5 @t4 @t53) (=> (and @t51 (tptp.m1_subset_1 @t4 @t3) (tptp.m2_relset_1 @t53 @t1 @t5)) (= (tptp.r2_hidden @t6 (tptp.a_4_1_relset_2 @t1 @t5 @t4 @t53)) (exists (@list @t52) (and (tptp.m1_subset_1 @t52 @t2) (= @t6 (tptp.k8_relset_2 @t1 @t5 @t52 @t53)) (tptp.r2_hidden @t52 @t4))))))) % 0.38/0.58 (assume @p25 (exists @t20 (and @t17 @t25))) % 0.38/0.58 (assume @p26 (forall @t20 (=> @t18 (exists @t45 (and @t54 @t51))))) % 0.38/0.58 (assume @p27 (forall @t24 (exists @t47 (and @t46 @t26 (tptp.v1_funct_1 @t5))))) % 0.38/0.58 (assume @p28 (exists @t20 (and @t18 @t25))) % 0.38/0.58 (assume @p29 (forall @t20 (exists @t45 (and @t54 @t50)))) % 0.38/0.58 (assume @p30 (exists @t20 (and @t25 (tptp.v3_relat_1 @t6)))) % 0.38/0.58 (assume @p31 (forall @t36 (=> @t35 (= @t34 (tptp.k9_relat_1 @t5 @t4))))) % 0.38/0.58 (assume @p32 (forall @t30 (=> @t39 (= @t38 (tptp.k5_relset_2 @t1 @t5))))) % 0.38/0.58 (assume @p33 (forall @t36 (=> @t41 (= @t40 @t31)))) % 0.38/0.58 (assume @p34 (forall @t30 (= @t44 @t46))) % 0.38/0.58 (assume @p35 (forall @t24 (tptp.r1_tarski @t6 @t6))) % 0.38/0.58 (assume @p36 @t56) % 0.38/0.58 (assume @p37 (forall @t24 (=> @t23 @t57))) % 0.38/0.58 (assume @p38 (forall @t24 (=> @t57 (or @t50 @t23)))) % 0.38/0.58 (assume @p39 (forall @t24 (=> (forall @t47 (= (tptp.r2_hidden @t5 @t6) (tptp.r2_hidden @t5 @t1))) @t58))) % 0.38/0.58 (assume @p40 (forall @t24 (= (tptp.m1_subset_1 @t6 @t2) (tptp.r1_tarski @t6 @t1)))) % 0.38/0.58 (assume @p41 (forall @t30 (=> (and @t23 @t59) (tptp.m1_subset_1 @t6 @t5)))) % 0.38/0.58 (assume @p42 (forall @t30 (not (and @t23 @t59 (tptp.v1_xboole_0 @t5))))) % 0.38/0.58 (assume @p43 (forall @t20 (=> @t17 (= @t6 tptp.k1_xboole_0)))) % 0.38/0.58 (assume @p44 (forall @t24 (not (and @t23 @t50)))) % 0.38/0.58 (assume @p45 (forall @t24 (not (and @t17 (not @t58) @t50)))) % 0.38/0.58 (step @p46 :rule aci_norm :args ((= @t68 @t66))) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t70)) % 0.38/0.58 (step @p48 :rule quant-merge-prenex :args ((= (forall @t20 @t72) @t70))) % 0.38/0.58 (step @p49 :rule alpha_equiv :args (@t73 (@list @t60 @t62 @t61) (@list @t1 @t5 @t74))) % 0.38/0.58 (step @p50 :rule refl :args (@t17)) % 0.38/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t75)) % 0.38/0.58 (step @p52 :rule quant-miniscope-or :args ((= @t72 @t75))) % 0.38/0.58 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.58 (step @p54 :rule symm :premises (@p53)) % 0.38/0.58 (step @p55 :rule cong :premises (@p54) :args ((forall @t20 (or @t17 @t81)))) % 0.38/0.58 (step @p56 :rule trans :premises (@p55 @p48)) % 0.38/0.58 (step @p57 :rule trans :premises (@p56 @p47)) % 0.38/0.58 (step @p58 :rule refl :args (@t81)) % 0.38/0.58 (step @p59 :rule bool-double-not-elim :args (@t17)) % 0.38/0.58 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t82 @t81))) % 0.38/0.58 (step @p61 :rule bool-impl-elim :args (@t18 @t81)) % 0.38/0.58 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.58 (step @p63 :rule cong :premises (@p62) :args ((forall @t20 (=> @t18 @t81)))) % 0.38/0.58 (step @p64 :rule trans :premises (@p63 @p57)) % 0.38/0.58 (step @p65 :rule aci_norm :args ((= @t84 @t79))) % 0.38/0.58 (step @p66 :rule cong :premises (@p65) :args (@t85)) % 0.38/0.58 (step @p67 :rule quant-merge-prenex :args ((= (forall @t15 @t87) @t85))) % 0.38/0.58 (step @p68 :rule alpha_equiv :args (@t88 (@list @t74) (@list @t4))) % 0.38/0.58 (step @p69 :rule refl :args (@t78)) % 0.38/0.58 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t89)) % 0.38/0.58 (step @p71 :rule quant-miniscope-or :args ((= @t87 @t89))) % 0.38/0.58 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.58 (step @p73 :rule symm :premises (@p72)) % 0.38/0.58 (step @p74 :rule cong :premises (@p73) :args ((forall @t15 (or @t78 @t91)))) % 0.38/0.58 (step @p75 :rule trans :premises (@p74 @p67)) % 0.38/0.58 (step @p76 :rule trans :premises (@p75 @p66)) % 0.38/0.58 (step @p77 :rule bool-impl-elim :args (@t13 @t91)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77) :args ((forall @t15 (=> @t13 @t91)))) % 0.38/0.58 (step @p79 :rule trans :premises (@p78 @p76)) % 0.38/0.58 (step @p80 :rule bool-impl-elim :args (@t8 @t7)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80) :args (@t10)) % 0.38/0.58 (step @p82 :rule refl :args (@t13)) % 0.38/0.58 (step @p83 :rule cong :premises (@p82 @p81) :args (@t14)) % 0.38/0.58 (step @p84 :rule cong :premises (@p83) :args (@t16)) % 0.38/0.58 (step @p85 :rule trans :premises (@p84 @p79)) % 0.38/0.58 (step @p86 :rule refl :args (@t18)) % 0.38/0.58 (step @p87 :rule cong :premises (@p86 @p85) :args (@t19)) % 0.38/0.58 (step @p88 :rule cong :premises (@p87) :args (@t21)) % 0.38/0.58 (step @p89 :rule trans :premises (@p88 @p64)) % 0.38/0.58 (step @p90 :rule cong :premises (@p89) :args (@t22)) % 0.38/0.58 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.38/0.58 (step @p92 :rule alpha_equiv :args ((forall (@list @t95 @t92 @t94 @t93) (or (tptp.v1_xboole_0 @t95) (not (tptp.m1_subset_1 @t94 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 @t95)))) (not (tptp.m2_relset_1 @t93 @t95 @t92)) (tptp.m1_subset_1 (tptp.a_4_1_relset_2 @t95 @t92 @t94 @t93) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 @t92))))) @t96 (@list @t4 @t6 @t1 @t5))) % 0.38/0.58 (step @p93 :rule alpha_equiv :args (@t97 (@list @t61 @t6 @t60 @t62) @t96)) % 0.38/0.58 (step @p94 :rule trans :premises (@p93 @p92)) % 0.38/0.58 (step @p95 :rule equiv_elim2 :premises (@p94)) % 0.38/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p91) :args ((not @t99) @t100 (@list @t97))) % 0.38/0.58 (step @p97 :rule aci_norm :args ((= (or (or @t17 @t78 @t90) @t7) @t98))) % 0.38/0.58 (step @p98 :rule refl :args (@t7)) % 0.38/0.58 (step @p99 :rule refl :args (@t90)) % 0.38/0.58 (step @p100 :rule nary_cong :premises (@p59 @p69 @p99) :args (@t101)) % 0.38/0.58 (step @p101 :rule aci_norm :args ((= (or @t82 (or @t78 @t90)) @t101))) % 0.38/0.58 (step @p102 :rule trans :premises (@p101 @p100)) % 0.38/0.58 (step @p103 :rule bool-and-de-morgan :args (@t13 @t8 true)) % 0.38/0.58 (step @p104 :rule refl :args (@t82)) % 0.38/0.58 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t82 (not (and @t13 @t8))))) % 0.38/0.58 (step @p106 :rule bool-and-de-morgan :args (@t18 @t13 (and @t8))) % 0.38/0.58 (step @p107 :rule trans :premises (@p106 @p105)) % 0.38/0.58 (step @p108 :rule trans :premises (@p107 @p102)) % 0.38/0.58 (step @p109 :rule nary_cong :premises (@p108 @p98) :args ((or (not @t55) @t7))) % 0.38/0.58 (step @p110 :rule trans :premises (@p109 @p97)) % 0.38/0.58 (step @p111 :rule bool-impl-elim :args (@t55 @t7)) % 0.38/0.58 (step @p112 :rule trans :premises (@p111 @p110)) % 0.38/0.58 (step @p113 :rule cong :premises (@p112) :args (@t56)) % 0.38/0.58 (step @p114 :rule eq_resolve :premises (@p36 @p113)) % 0.38/0.58 (step @p115 false :rule chain_m_resolution :premises (@p114 @p96) :args (false @t100 (@list @t99))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------