%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU424+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:43 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU424+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 17:20:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.a_4_0_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.39/0.58 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.k10_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.k2_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t2 () (tptp.k1_zfmisc_1 @t1)) % 0.39/0.58 (define @t3 () (tptp.k1_zfmisc_1 @t2)) % 0.39/0.58 (define @t4 () (@var "D" $$unsorted)) % 0.39/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t6 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t7 () (tptp.m1_subset_1 (tptp.a_4_0_relset_2 @t6 @t1 @t5 @t4) @t3)) % 0.39/0.58 (define @t8 () (tptp.m2_relset_1 @t4 @t6 @t1)) % 0.39/0.58 (define @t9 () (@list @t4)) % 0.39/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.39/0.58 (define @t11 () (tptp.k1_zfmisc_1 @t6)) % 0.39/0.58 (define @t12 () (tptp.m1_subset_1 @t5 @t11)) % 0.39/0.58 (define @t13 () (=> @t12 @t10)) % 0.39/0.58 (define @t14 () (@list @t1 @t5)) % 0.39/0.58 (define @t15 () (forall @t14 @t13)) % 0.39/0.58 (define @t16 () (tptp.v1_xboole_0 @t6)) % 0.39/0.58 (define @t17 () (not @t16)) % 0.39/0.58 (define @t18 () (=> @t17 @t15)) % 0.39/0.58 (define @t19 () (@list @t6)) % 0.39/0.58 (define @t20 () (forall @t19 @t18)) % 0.39/0.58 (define @t21 () (not @t20)) % 0.39/0.58 (define @t22 () (tptp.r2_hidden @t6 @t1)) % 0.39/0.58 (define @t23 () (@list @t6 @t1)) % 0.39/0.58 (define @t24 () (tptp.v1_relat_1 @t6)) % 0.39/0.58 (define @t25 () (tptp.k2_zfmisc_1 @t6 @t1)) % 0.39/0.58 (define @t26 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t25))) % 0.39/0.58 (define @t27 () (@list @t6 @t1 @t5)) % 0.39/0.58 (define @t28 () (tptp.k2_relset_2 @t6 @t1 @t5 @t4)) % 0.39/0.58 (define @t29 () (tptp.m1_subset_1 @t4 @t6)) % 0.39/0.58 (define @t30 () (tptp.m2_relset_1 @t5 @t6 @t1)) % 0.39/0.58 (define @t31 () (tptp.k10_relset_1 @t6 @t1 @t5 @t4)) % 0.39/0.58 (define @t32 () (tptp.m1_relset_1 @t5 @t6 @t1)) % 0.39/0.58 (define @t33 () (@list @t6 @t1 @t5 @t4)) % 0.39/0.58 (define @t34 () (@list @t5)) % 0.39/0.58 (define @t35 () (@list @t1)) % 0.39/0.58 (define @t36 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.39/0.58 (define @t37 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.39/0.58 (define @t38 () (tptp.v1_xboole_0 @t1)) % 0.39/0.58 (define @t39 () (not @t38)) % 0.39/0.58 (define @t40 () (@var "F" $$unsorted)) % 0.39/0.58 (define @t41 () (@var "E" $$unsorted)) % 0.39/0.58 (define @t42 () (tptp.m1_subset_1 @t1 @t11)) % 0.39/0.58 (define @t43 () (and @t17 @t12 @t8)) % 0.39/0.58 (define @t44 () (forall @t33 (=> @t43 @t7))) % 0.39/0.58 (define @t45 () (tptp.m1_subset_1 @t6 @t1)) % 0.39/0.58 (define @t46 () (= @t6 @t1)) % 0.39/0.58 (define @t47 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t5))) % 0.39/0.58 (define @t48 () (@var "BOUND_VARIABLE_7625" $$unsorted)) % 0.39/0.58 (define @t49 () (@var "BOUND_VARIABLE_7629" $$unsorted)) % 0.39/0.58 (define @t50 () (@var "BOUND_VARIABLE_7627" $$unsorted)) % 0.39/0.58 (define @t51 () (tptp.m1_subset_1 (tptp.a_4_0_relset_2 @t6 @t48 @t50 @t49) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 @t48)))) % 0.39/0.58 (define @t52 () (not (tptp.m2_relset_1 @t49 @t6 @t48))) % 0.39/0.58 (define @t53 () (not (tptp.m1_subset_1 @t50 @t11))) % 0.39/0.58 (define @t54 () (or @t16 @t53 @t52 @t51)) % 0.39/0.58 (define @t55 () (or @t53 @t52 @t51)) % 0.39/0.58 (define @t56 () (or @t16 @t55)) % 0.39/0.58 (define @t57 () (@list @t6 @t48 @t50 @t49)) % 0.39/0.58 (define @t58 () (forall @t57 @t56)) % 0.39/0.58 (define @t59 () (@list @t48 @t50 @t49)) % 0.39/0.58 (define @t60 () (forall @t59 @t56)) % 0.39/0.58 (define @t61 () (forall @t59 @t55)) % 0.39/0.58 (define @t62 () (@var "BOUND_VARIABLE_7609" $$unsorted)) % 0.39/0.58 (define @t63 () (or @t16 @t61)) % 0.39/0.58 (define @t64 () (tptp.m1_subset_1 (tptp.a_4_0_relset_2 @t6 @t1 @t5 @t62) @t3)) % 0.39/0.58 (define @t65 () (not (tptp.m2_relset_1 @t62 @t6 @t1))) % 0.39/0.58 (define @t66 () (not @t12)) % 0.39/0.58 (define @t67 () (or @t66 @t65 @t64)) % 0.39/0.58 (define @t68 () (@list @t1 @t5 @t62)) % 0.39/0.58 (define @t69 () (forall @t68 @t67)) % 0.39/0.58 (define @t70 () (not @t17)) % 0.39/0.58 (define @t71 () (or @t65 @t64)) % 0.39/0.58 (define @t72 () (or @t66 @t71)) % 0.39/0.58 (define @t73 () (forall @t68 @t72)) % 0.39/0.58 (define @t74 () (@list @t62)) % 0.39/0.58 (define @t75 () (forall @t74 @t72)) % 0.39/0.58 (define @t76 () (forall @t74 @t71)) % 0.39/0.58 (define @t77 () (or @t66 @t76)) % 0.39/0.58 (define @t78 () (not @t8)) % 0.39/0.58 (define @t79 () (forall @t9 (or @t78 @t7))) % 0.39/0.58 (define @t80 () (@var "BOUND_VARIABLE_8035" $$unsorted)) % 0.39/0.58 (define @t81 () (@var "BOUND_VARIABLE_8033" $$unsorted)) % 0.39/0.58 (define @t82 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 0.39/0.58 (define @t83 () (@var "BOUND_VARIABLE_8034" $$unsorted)) % 0.39/0.58 (define @t84 () (@list @t81 @t83 @t80 @t82)) % 0.39/0.58 (define @t85 () (forall @t57 @t54)) % 0.39/0.58 (define @t86 () (or @t16 @t66 @t78 @t7)) % 0.39/0.58 (define @t87 () (forall @t33 @t86)) % 0.39/0.58 (define @t88 () (@list true)) % 0.39/0.58 (define @t89 () (or @t70 @t66 @t78)) % 0.39/0.58 (assume @p1 @t21) % 0.39/0.58 (assume @p2 (forall @t23 (=> @t22 (not (tptp.r2_hidden @t1 @t6))))) % 0.39/0.58 (assume @p3 (forall @t19 (=> @t16 @t24))) % 0.39/0.58 (assume @p4 (forall @t27 (=> @t26 (tptp.v1_relat_1 @t5)))) % 0.39/0.58 (assume @p5 (forall @t27 (=> @t30 (forall @t9 (=> @t29 (= @t28 (tptp.k10_relset_1 @t6 @t1 @t5 (tptp.k1_tarski @t4)))))))) % 0.39/0.58 (assume @p6 (forall @t33 (=> @t32 (tptp.m1_subset_1 @t31 @t2)))) % 0.39/0.58 (assume @p7 true) % 0.39/0.58 (assume @p8 (forall @t33 (=> (and @t32 @t29) (tptp.m1_subset_1 @t28 @t2)))) % 0.39/0.58 (assume @p9 (forall @t27 (=> @t30 @t26))) % 0.39/0.58 (assume @p10 (forall @t23 (exists @t34 @t32))) % 0.39/0.58 (assume @p11 (forall @t19 (exists @t35 (tptp.m1_subset_1 @t1 @t6)))) % 0.39/0.58 (assume @p12 (forall @t23 (exists @t34 @t30))) % 0.39/0.58 (assume @p13 (and @t37 @t36 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.39/0.58 (assume @p14 (forall @t19 (not (tptp.v1_xboole_0 @t11)))) % 0.39/0.58 (assume @p15 (forall @t23 (tptp.v1_relat_1 @t25))) % 0.39/0.58 (assume @p16 (forall @t19 (not (tptp.v1_xboole_0 (tptp.k1_tarski @t6))))) % 0.39/0.58 (assume @p17 (and @t37 @t36)) % 0.39/0.58 (assume @p18 (forall @t23 (=> (and @t17 @t39) (not (tptp.v1_xboole_0 @t25))))) % 0.39/0.58 (assume @p19 (forall (@list @t6 @t1 @t5 @t4 @t41) (=> (and @t39 (tptp.m1_subset_1 @t4 @t2) (tptp.m2_relset_1 @t41 @t1 @t5)) (= (tptp.r2_hidden @t6 (tptp.a_4_0_relset_2 @t1 @t5 @t4 @t41)) (exists (@list @t40) (and (tptp.m1_subset_1 @t40 @t1) (= @t6 (tptp.k2_relset_2 @t1 @t5 @t41 @t40)) (tptp.r2_hidden @t40 @t4))))))) % 0.39/0.58 (assume @p20 (exists @t19 (and @t16 @t24))) % 0.39/0.58 (assume @p21 (forall @t19 (=> @t17 (exists @t35 (and @t42 @t39))))) % 0.39/0.58 (assume @p22 (exists @t19 (and @t17 @t24))) % 0.39/0.58 (assume @p23 (forall @t19 (exists @t35 (and @t42 @t38)))) % 0.39/0.58 (assume @p24 (exists @t19 (and @t24 (tptp.v3_relat_1 @t6)))) % 0.39/0.58 (assume @p25 (forall @t33 (=> @t32 (= @t31 (tptp.k9_relat_1 @t5 @t4))))) % 0.39/0.58 (assume @p26 (forall @t27 (= @t30 @t32))) % 0.39/0.58 (assume @p27 (forall @t23 (tptp.r1_tarski @t6 @t6))) % 0.39/0.58 (assume @p28 @t44) % 0.39/0.58 (assume @p29 (forall @t23 (=> @t22 @t45))) % 0.39/0.58 (assume @p30 (forall @t23 (=> @t45 (or @t38 @t22)))) % 0.39/0.58 (assume @p31 (forall @t23 (=> (forall @t34 (= (tptp.r2_hidden @t5 @t6) (tptp.r2_hidden @t5 @t1))) @t46))) % 0.39/0.58 (assume @p32 (forall @t23 (= (tptp.m1_subset_1 @t6 @t2) (tptp.r1_tarski @t6 @t1)))) % 0.39/0.58 (assume @p33 (forall @t27 (=> (and @t22 @t47) (tptp.m1_subset_1 @t6 @t5)))) % 0.39/0.58 (assume @p34 (forall @t27 (not (and @t22 @t47 (tptp.v1_xboole_0 @t5))))) % 0.39/0.58 (assume @p35 (forall @t19 (=> @t16 (= @t6 tptp.k1_xboole_0)))) % 0.39/0.58 (assume @p36 (forall @t23 (not (and @t22 @t38)))) % 0.39/0.58 (assume @p37 (forall @t23 (not (and @t16 (not @t46) @t38)))) % 0.39/0.58 (step @p38 :rule aci_norm :args ((= @t56 @t54))) % 0.39/0.58 (step @p39 :rule cong :premises (@p38) :args (@t58)) % 0.39/0.58 (step @p40 :rule quant-merge-prenex :args ((= (forall @t19 @t60) @t58))) % 0.39/0.58 (step @p41 :rule alpha_equiv :args (@t61 (@list @t48 @t50 @t49) (@list @t1 @t5 @t62))) % 0.39/0.58 (step @p42 :rule refl :args (@t16)) % 0.39/0.58 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t63)) % 0.39/0.58 (step @p44 :rule quant-miniscope-or :args ((= @t60 @t63))) % 0.39/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.58 (step @p46 :rule symm :premises (@p45)) % 0.39/0.58 (step @p47 :rule cong :premises (@p46) :args ((forall @t19 (or @t16 @t69)))) % 0.39/0.58 (step @p48 :rule trans :premises (@p47 @p40)) % 0.39/0.58 (step @p49 :rule trans :premises (@p48 @p39)) % 0.39/0.58 (step @p50 :rule refl :args (@t69)) % 0.39/0.58 (step @p51 :rule bool-double-not-elim :args (@t16)) % 0.39/0.58 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t70 @t69))) % 0.39/0.58 (step @p53 :rule bool-impl-elim :args (@t17 @t69)) % 0.39/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.39/0.58 (step @p55 :rule cong :premises (@p54) :args ((forall @t19 (=> @t17 @t69)))) % 0.39/0.58 (step @p56 :rule trans :premises (@p55 @p49)) % 0.39/0.58 (step @p57 :rule aci_norm :args ((= @t72 @t67))) % 0.39/0.58 (step @p58 :rule cong :premises (@p57) :args (@t73)) % 0.39/0.58 (step @p59 :rule quant-merge-prenex :args ((= (forall @t14 @t75) @t73))) % 0.39/0.58 (step @p60 :rule alpha_equiv :args (@t76 (@list @t62) (@list @t4))) % 0.39/0.58 (step @p61 :rule refl :args (@t66)) % 0.39/0.58 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t77)) % 0.39/0.58 (step @p63 :rule quant-miniscope-or :args ((= @t75 @t77))) % 0.39/0.58 (step @p64 :rule trans :premises (@p63 @p62)) % 0.39/0.58 (step @p65 :rule symm :premises (@p64)) % 0.39/0.58 (step @p66 :rule cong :premises (@p65) :args ((forall @t14 (or @t66 @t79)))) % 0.39/0.58 (step @p67 :rule trans :premises (@p66 @p59)) % 0.39/0.58 (step @p68 :rule trans :premises (@p67 @p58)) % 0.39/0.58 (step @p69 :rule bool-impl-elim :args (@t12 @t79)) % 0.39/0.58 (step @p70 :rule cong :premises (@p69) :args ((forall @t14 (=> @t12 @t79)))) % 0.39/0.58 (step @p71 :rule trans :premises (@p70 @p68)) % 0.39/0.58 (step @p72 :rule bool-impl-elim :args (@t8 @t7)) % 0.39/0.58 (step @p73 :rule cong :premises (@p72) :args (@t10)) % 0.39/0.58 (step @p74 :rule refl :args (@t12)) % 0.39/0.58 (step @p75 :rule cong :premises (@p74 @p73) :args (@t13)) % 0.39/0.58 (step @p76 :rule cong :premises (@p75) :args (@t15)) % 0.39/0.58 (step @p77 :rule trans :premises (@p76 @p71)) % 0.39/0.58 (step @p78 :rule refl :args (@t17)) % 0.39/0.58 (step @p79 :rule cong :premises (@p78 @p77) :args (@t18)) % 0.39/0.58 (step @p80 :rule cong :premises (@p79) :args (@t20)) % 0.39/0.58 (step @p81 :rule trans :premises (@p80 @p56)) % 0.39/0.58 (step @p82 :rule cong :premises (@p81) :args (@t21)) % 0.39/0.58 (step @p83 :rule eq_resolve :premises (@p1 @p82)) % 0.39/0.58 (step @p84 :rule alpha_equiv :args ((forall (@list @t83 @t80 @t82 @t81) (or (tptp.v1_xboole_0 @t83) (not (tptp.m1_subset_1 @t82 (tptp.k1_zfmisc_1 @t83))) (not (tptp.m2_relset_1 @t81 @t83 @t80)) (tptp.m1_subset_1 (tptp.a_4_0_relset_2 @t83 @t80 @t82 @t81) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 @t80))))) @t84 (@list @t4 @t6 @t1 @t5))) % 0.39/0.58 (step @p85 :rule alpha_equiv :args (@t85 (@list @t49 @t6 @t48 @t50) @t84)) % 0.39/0.58 (step @p86 :rule trans :premises (@p85 @p84)) % 0.39/0.58 (step @p87 :rule equiv_elim2 :premises (@p86)) % 0.39/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p83) :args ((not @t87) @t88 (@list @t85))) % 0.39/0.58 (step @p89 :rule aci_norm :args ((= (or (or @t16 @t66 @t78) @t7) @t86))) % 0.39/0.58 (step @p90 :rule refl :args (@t7)) % 0.39/0.58 (step @p91 :rule refl :args (@t78)) % 0.39/0.58 (step @p92 :rule nary_cong :premises (@p51 @p61 @p91) :args (@t89)) % 0.39/0.58 (step @p93 :rule aci_norm :args ((= (or @t70 (or @t66 @t78)) @t89))) % 0.39/0.58 (step @p94 :rule trans :premises (@p93 @p92)) % 0.39/0.58 (step @p95 :rule bool-and-de-morgan :args (@t12 @t8 true)) % 0.39/0.58 (step @p96 :rule refl :args (@t70)) % 0.39/0.58 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t70 (not (and @t12 @t8))))) % 0.39/0.58 (step @p98 :rule bool-and-de-morgan :args (@t17 @t12 (and @t8))) % 0.39/0.58 (step @p99 :rule trans :premises (@p98 @p97)) % 0.39/0.58 (step @p100 :rule trans :premises (@p99 @p94)) % 0.39/0.58 (step @p101 :rule nary_cong :premises (@p100 @p90) :args ((or (not @t43) @t7))) % 0.39/0.58 (step @p102 :rule trans :premises (@p101 @p89)) % 0.39/0.58 (step @p103 :rule bool-impl-elim :args (@t43 @t7)) % 0.39/0.58 (step @p104 :rule trans :premises (@p103 @p102)) % 0.39/0.58 (step @p105 :rule cong :premises (@p104) :args (@t44)) % 0.39/0.58 (step @p106 :rule eq_resolve :premises (@p28 @p105)) % 0.39/0.58 (step @p107 false :rule chain_m_resolution :premises (@p106 @p88) :args (false @t88 (@list @t87))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------