%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU435+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 : n014.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 08:51:47 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 : SEU435+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 : n014.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 17:27:28 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----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 $$unsorted 0) % 0.38/0.58 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.38/0.58 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.a_6_0_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "E" $$unsorted)) % 0.38/0.58 (define @t2 () (tptp.k1_zfmisc_1 @t1)) % 0.38/0.58 (define @t3 () (@var "F" $$unsorted)) % 0.38/0.58 (define @t4 () (@var "D" $$unsorted)) % 0.38/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t6 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t7 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t8 () (tptp.m1_subset_1 (tptp.a_6_0_relset_2 @t7 @t6 @t5 @t4 @t1 @t3) (tptp.k1_zfmisc_1 @t2))) % 0.38/0.58 (define @t9 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t4))) % 0.38/0.58 (define @t10 () (@list @t4 @t1 @t3)) % 0.38/0.58 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.38/0.58 (define @t12 () (tptp.k2_zfmisc_1 @t7 @t6)) % 0.38/0.58 (define @t13 () (tptp.k1_zfmisc_1 @t12)) % 0.38/0.58 (define @t14 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t13))) % 0.38/0.58 (define @t15 () (=> @t14 @t11)) % 0.38/0.58 (define @t16 () (@list @t7 @t6 @t5)) % 0.38/0.58 (define @t17 () (forall @t16 @t15)) % 0.38/0.58 (define @t18 () (not @t17)) % 0.38/0.58 (define @t19 () (tptp.r2_hidden @t7 @t6)) % 0.38/0.58 (define @t20 () (@list @t7 @t6)) % 0.38/0.58 (define @t21 () (tptp.v1_relat_1 @t7)) % 0.38/0.58 (define @t22 () (tptp.v1_xboole_0 @t7)) % 0.38/0.58 (define @t23 () (@list @t7)) % 0.38/0.58 (define @t24 () (tptp.v1_relat_1 @t5)) % 0.38/0.58 (define @t25 () (tptp.m1_subset_1 @t5 @t13)) % 0.38/0.58 (define @t26 () (tptp.k1_zfmisc_1 @t7)) % 0.38/0.58 (define @t27 () (tptp.k7_relset_2 @t7 @t6 @t5 @t4)) % 0.38/0.58 (define @t28 () (tptp.m1_subset_1 @t4 @t13)) % 0.38/0.58 (define @t29 () (tptp.m1_subset_1 @t5 @t26)) % 0.38/0.58 (define @t30 () (tptp.k1_zfmisc_1 @t6)) % 0.38/0.58 (define @t31 () (tptp.k4_relset_2 @t7 @t6 @t5 @t4)) % 0.38/0.58 (define @t32 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t7 @t30)))) % 0.38/0.58 (define @t33 () (@list @t7 @t6 @t5 @t4)) % 0.38/0.58 (define @t34 () (tptp.k5_relset_2 @t7 @t6)) % 0.38/0.58 (define @t35 () (tptp.k6_relset_2 @t7 @t6 @t5)) % 0.38/0.58 (define @t36 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t6 @t7)))) % 0.38/0.58 (define @t37 () (tptp.k8_relset_2 @t7 @t6 @t5 @t4)) % 0.38/0.58 (define @t38 () (and @t29 @t28)) % 0.38/0.58 (define @t39 () (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 @t26))) % 0.38/0.58 (define @t40 () (tptp.m1_eqrel_1 @t6 @t7)) % 0.38/0.58 (define @t41 () (tptp.m2_relset_1 @t5 @t7 @t6)) % 0.38/0.58 (define @t42 () (@list @t6)) % 0.38/0.58 (define @t43 () (tptp.m1_relset_1 @t5 @t7 @t6)) % 0.38/0.58 (define @t44 () (@list @t5)) % 0.38/0.58 (define @t45 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.38/0.58 (define @t46 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.38/0.58 (define @t47 () (tptp.v1_xboole_0 @t6)) % 0.38/0.58 (define @t48 () (not @t47)) % 0.38/0.58 (define @t49 () (not @t22)) % 0.38/0.58 (define @t50 () (@var "H" $$unsorted)) % 0.38/0.58 (define @t51 () (@var "G" $$unsorted)) % 0.38/0.58 (define @t52 () (tptp.m1_subset_1 @t6 @t26)) % 0.38/0.58 (define @t53 () (and @t14 @t9)) % 0.38/0.58 (define @t54 () (@list @t7 @t6 @t5 @t4 @t1 @t3)) % 0.38/0.58 (define @t55 () (forall @t54 (=> @t53 @t8))) % 0.38/0.58 (define @t56 () (tptp.m1_subset_1 @t7 @t6)) % 0.38/0.58 (define @t57 () (= @t7 @t6)) % 0.38/0.58 (define @t58 () (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 @t5))) % 0.38/0.58 (define @t59 () (@var "BOUND_VARIABLE_7675" $$unsorted)) % 0.38/0.58 (define @t60 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 0.38/0.58 (define @t61 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 0.38/0.58 (define @t62 () (tptp.m1_subset_1 (tptp.a_6_0_relset_2 @t7 @t6 @t5 @t61 @t59 @t60) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 @t59)))) % 0.38/0.58 (define @t63 () (not (tptp.m1_subset_1 @t60 (tptp.k1_zfmisc_1 @t61)))) % 0.38/0.58 (define @t64 () (not @t14)) % 0.38/0.58 (define @t65 () (or @t64 @t63 @t62)) % 0.38/0.58 (define @t66 () (or @t63 @t62)) % 0.38/0.58 (define @t67 () (or @t64 @t66)) % 0.38/0.58 (define @t68 () (@list @t7 @t6 @t5 @t61 @t59 @t60)) % 0.38/0.58 (define @t69 () (forall @t68 @t67)) % 0.38/0.58 (define @t70 () (@list @t61 @t59 @t60)) % 0.38/0.58 (define @t71 () (forall @t70 @t67)) % 0.38/0.58 (define @t72 () (forall @t70 @t66)) % 0.38/0.58 (define @t73 () (or @t64 @t72)) % 0.38/0.58 (define @t74 () (not @t9)) % 0.38/0.58 (define @t75 () (forall @t10 (or @t74 @t8))) % 0.38/0.58 (define @t76 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 0.38/0.58 (define @t77 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 0.38/0.58 (define @t78 () (@var "BOUND_VARIABLE_8226" $$unsorted)) % 0.38/0.58 (define @t79 () (@var "BOUND_VARIABLE_8225" $$unsorted)) % 0.38/0.58 (define @t80 () (@var "BOUND_VARIABLE_8224" $$unsorted)) % 0.38/0.58 (define @t81 () (@var "BOUND_VARIABLE_8223" $$unsorted)) % 0.38/0.58 (define @t82 () (@list @t81 @t80 @t79 @t78 @t76 @t77)) % 0.38/0.58 (define @t83 () (forall @t68 @t65)) % 0.38/0.58 (define @t84 () (or @t64 @t74 @t8)) % 0.38/0.58 (define @t85 () (forall @t54 @t84)) % 0.38/0.58 (define @t86 () (@list true)) % 0.38/0.58 (assume @p1 @t18) % 0.38/0.58 (assume @p2 (forall @t20 (=> @t19 (not (tptp.r2_hidden @t6 @t7))))) % 0.38/0.58 (assume @p3 (forall @t23 (=> @t22 @t21))) % 0.38/0.58 (assume @p4 (forall @t16 (=> @t25 @t24))) % 0.38/0.58 (assume @p5 (forall @t16 (=> @t29 (forall (@list @t4) (=> @t28 (= @t27 (tptp.k8_setfam_1 @t6 (tptp.k4_relset_2 @t26 @t6 (tptp.k6_relset_2 @t6 @t7 @t4) (tptp.k3_pua2mss1 @t5))))))))) % 0.38/0.58 (assume @p6 true) % 0.38/0.58 (assume @p7 (forall @t23 (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 @t7) @t7))) % 0.38/0.58 (assume @p8 (forall @t33 (=> @t32 (tptp.m1_subset_1 @t31 (tptp.k1_zfmisc_1 @t30))))) % 0.38/0.58 (assume @p9 (forall @t20 (=> (tptp.v1_relat_1 @t6) (and (tptp.v1_relat_1 @t34) (tptp.v1_funct_1 @t34))))) % 0.38/0.58 (assume @p10 (forall @t16 (=> @t36 (and (tptp.v1_funct_1 @t35) (tptp.v1_funct_2 @t35 @t30 @t26) (tptp.m2_relset_1 @t35 @t30 @t26))))) % 0.38/0.58 (assume @p11 (forall @t33 (=> @t38 (tptp.m1_subset_1 @t37 @t30)))) % 0.38/0.58 (assume @p12 (forall @t20 (=> @t39 (tptp.m1_subset_1 (tptp.k8_setfam_1 @t7 @t6) @t26)))) % 0.38/0.58 (assume @p13 (forall @t20 (=> @t40 @t39))) % 0.38/0.58 (assume @p14 (forall @t16 (=> @t41 @t25))) % 0.38/0.58 (assume @p15 (forall @t23 (exists @t42 @t40))) % 0.38/0.58 (assume @p16 (forall @t20 (exists @t44 @t43))) % 0.38/0.58 (assume @p17 (forall @t23 (exists @t42 (tptp.m1_subset_1 @t6 @t7)))) % 0.38/0.58 (assume @p18 (forall @t20 (exists @t44 @t41))) % 0.38/0.58 (assume @p19 (and @t46 @t45 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.38/0.58 (assume @p20 (forall @t23 (not (tptp.v1_xboole_0 @t26)))) % 0.38/0.58 (assume @p21 (forall @t20 (tptp.v1_relat_1 @t12))) % 0.38/0.58 (assume @p22 (and @t46 @t45)) % 0.38/0.58 (assume @p23 (forall @t20 (=> (and @t49 @t48) (not (tptp.v1_xboole_0 @t12))))) % 0.38/0.58 (assume @p24 (forall (@list @t7 @t6 @t5 @t4 @t1 @t3 @t51) (=> (and (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t6 @t5)))) (tptp.m1_subset_1 @t51 @t2)) (= (tptp.r2_hidden @t7 (tptp.a_6_0_relset_2 @t6 @t5 @t4 @t1 @t3 @t51)) (exists (@list @t50) (and (tptp.m1_subset_1 @t50 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t3))) (= @t7 (tptp.k8_relset_2 @t1 @t3 @t51 @t50)) (tptp.r2_hidden @t50 @t4))))))) % 0.38/0.58 (assume @p25 (exists @t23 (and @t22 @t21))) % 0.38/0.58 (assume @p26 (forall @t23 (=> @t49 (exists @t42 (and @t52 @t48))))) % 0.38/0.58 (assume @p27 (forall @t20 (exists @t44 (and @t43 @t24 (tptp.v1_funct_1 @t5))))) % 0.38/0.58 (assume @p28 (exists @t23 (and @t49 @t21))) % 0.38/0.58 (assume @p29 (forall @t23 (exists @t42 (and @t52 @t47)))) % 0.38/0.58 (assume @p30 (exists @t23 (and @t21 (tptp.v3_relat_1 @t7)))) % 0.38/0.58 (assume @p31 (forall @t33 (=> @t32 (= @t31 (tptp.k9_relat_1 @t5 @t4))))) % 0.38/0.58 (assume @p32 (forall @t16 (=> @t36 (= @t35 (tptp.k5_relset_2 @t6 @t5))))) % 0.38/0.58 (assume @p33 (forall @t33 (=> @t38 (= @t37 @t27)))) % 0.38/0.58 (assume @p34 (forall @t16 (= @t41 @t43))) % 0.38/0.58 (assume @p35 (forall @t20 (tptp.r1_tarski @t7 @t7))) % 0.38/0.58 (assume @p36 @t55) % 0.38/0.58 (assume @p37 (forall @t20 (=> @t19 @t56))) % 0.38/0.58 (assume @p38 (forall @t20 (=> @t56 (or @t47 @t19)))) % 0.38/0.58 (assume @p39 (forall @t20 (=> (forall @t44 (= (tptp.r2_hidden @t5 @t7) (tptp.r2_hidden @t5 @t6))) @t57))) % 0.38/0.58 (assume @p40 (forall @t20 (= (tptp.m1_subset_1 @t7 @t30) (tptp.r1_tarski @t7 @t6)))) % 0.38/0.58 (assume @p41 (forall @t16 (=> (and @t19 @t58) (tptp.m1_subset_1 @t7 @t5)))) % 0.38/0.58 (assume @p42 (forall @t16 (not (and @t19 @t58 (tptp.v1_xboole_0 @t5))))) % 0.38/0.58 (assume @p43 (forall @t23 (=> @t22 (= @t7 tptp.k1_xboole_0)))) % 0.38/0.58 (assume @p44 (forall @t20 (not (and @t19 @t47)))) % 0.38/0.58 (assume @p45 (forall @t20 (not (and @t22 (not @t57) @t47)))) % 0.38/0.58 (step @p46 :rule aci_norm :args ((= @t67 @t65))) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t69)) % 0.38/0.58 (step @p48 :rule quant-merge-prenex :args ((= (forall @t16 @t71) @t69))) % 0.38/0.58 (step @p49 :rule alpha_equiv :args (@t72 (@list @t61 @t59 @t60) (@list @t4 @t1 @t3))) % 0.38/0.58 (step @p50 :rule refl :args (@t64)) % 0.38/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t73)) % 0.38/0.58 (step @p52 :rule quant-miniscope-or :args ((= @t71 @t73))) % 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 @t16 (or @t64 @t75)))) % 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 bool-impl-elim :args (@t14 @t75)) % 0.38/0.58 (step @p59 :rule cong :premises (@p58) :args ((forall @t16 (=> @t14 @t75)))) % 0.38/0.58 (step @p60 :rule trans :premises (@p59 @p57)) % 0.38/0.58 (step @p61 :rule bool-impl-elim :args (@t9 @t8)) % 0.38/0.58 (step @p62 :rule cong :premises (@p61) :args (@t11)) % 0.38/0.58 (step @p63 :rule refl :args (@t14)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args (@t15)) % 0.38/0.58 (step @p65 :rule cong :premises (@p64) :args (@t17)) % 0.38/0.58 (step @p66 :rule trans :premises (@p65 @p60)) % 0.38/0.58 (step @p67 :rule cong :premises (@p66) :args (@t18)) % 0.38/0.58 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.38/0.58 (step @p69 :rule alpha_equiv :args ((forall (@list @t81 @t80 @t79 @t78 @t76 @t77) (or (not (tptp.m1_subset_1 @t79 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t81 @t80))))) (not (tptp.m1_subset_1 @t77 (tptp.k1_zfmisc_1 @t78))) (tptp.m1_subset_1 (tptp.a_6_0_relset_2 @t81 @t80 @t79 @t78 @t76 @t77) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 @t76))))) @t82 (@list @t7 @t6 @t5 @t4 @t1 @t3))) % 0.38/0.58 (step @p70 :rule alpha_equiv :args (@t83 (@list @t7 @t6 @t5 @t61 @t59 @t60) @t82)) % 0.38/0.58 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.58 (step @p72 :rule equiv_elim2 :premises (@p71)) % 0.38/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p68) :args ((not @t85) @t86 (@list @t83))) % 0.38/0.58 (step @p74 :rule aci_norm :args ((= (or (or @t64 @t74) @t8) @t84))) % 0.38/0.58 (step @p75 :rule refl :args (@t8)) % 0.38/0.58 (step @p76 :rule bool-and-de-morgan :args (@t14 @t9 true)) % 0.38/0.58 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t53) @t8))) % 0.38/0.58 (step @p78 :rule trans :premises (@p77 @p74)) % 0.38/0.58 (step @p79 :rule bool-impl-elim :args (@t53 @t8)) % 0.38/0.58 (step @p80 :rule trans :premises (@p79 @p78)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80) :args (@t55)) % 0.38/0.58 (step @p82 :rule eq_resolve :premises (@p36 @p81)) % 0.38/0.58 (step @p83 false :rule chain_m_resolution :premises (@p82 @p73) :args (false @t86 (@list @t85))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------