%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU167+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:50:49 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU167+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n013.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:33:15 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.44/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.44/0.63 (define @t2 () (tptp.empty @t1)) % 0.44/0.63 (define @t3 () (@list @t1)) % 0.44/0.63 (define @t4 () (@var "B" $$unsorted)) % 0.44/0.63 (define @t5 () (@var "C" $$unsorted)) % 0.44/0.63 (define @t6 () (tptp.cartesian_product2 @t1 @t5)) % 0.44/0.63 (define @t7 () (and (tptp.subset @t6 (tptp.cartesian_product2 @t4 @t5)) (tptp.subset (tptp.cartesian_product2 @t5 @t1) (tptp.cartesian_product2 @t5 @t4)))) % 0.44/0.63 (define @t8 () (tptp.subset @t1 @t4)) % 0.44/0.63 (define @t9 () (@list @t1 @t4 @t5)) % 0.44/0.63 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.44/0.63 (define @t11 () (@var "D" $$unsorted)) % 0.44/0.63 (define @t12 () (tptp.subset @t6 (tptp.cartesian_product2 @t4 @t11))) % 0.44/0.63 (define @t13 () (tptp.subset @t5 @t11)) % 0.44/0.63 (define @t14 () (and @t8 @t13)) % 0.44/0.63 (define @t15 () (@list @t1 @t4 @t5 @t11)) % 0.44/0.63 (define @t16 () (forall @t15 (=> @t14 @t12))) % 0.44/0.63 (define @t17 () (not @t16)) % 0.44/0.63 (define @t18 () (tptp.subset @t1 @t5)) % 0.44/0.63 (define @t19 () (tptp.subset @t4 @t5)) % 0.44/0.63 (define @t20 () (and @t8 @t19)) % 0.44/0.63 (define @t21 () (forall @t9 (=> @t20 @t18))) % 0.44/0.63 (define @t22 () (not @t13)) % 0.44/0.63 (define @t23 () (not @t8)) % 0.44/0.63 (define @t24 () (or @t23 @t22 @t12)) % 0.44/0.63 (define @t25 () (forall @t15 @t24)) % 0.44/0.63 (define @t26 () (@quantifiers_skolemize @t25 1)) % 0.44/0.63 (define @t27 () (@quantifiers_skolemize @t25 3)) % 0.44/0.63 (define @t28 () (@quantifiers_skolemize @t25 2)) % 0.44/0.63 (define @t29 () (tptp.subset @t28 @t27)) % 0.44/0.63 (define @t30 () (tptp.cartesian_product2 @t26 @t27)) % 0.44/0.63 (define @t31 () (@quantifiers_skolemize @t25 0)) % 0.44/0.63 (define @t32 () (tptp.cartesian_product2 @t31 @t28)) % 0.44/0.63 (define @t33 () (tptp.subset @t32 @t30)) % 0.44/0.63 (define @t34 () (not @t29)) % 0.44/0.63 (define @t35 () (tptp.subset @t31 @t26)) % 0.44/0.63 (define @t36 () (not @t35)) % 0.44/0.63 (define @t37 () (or @t36 @t34 @t33)) % 0.44/0.63 (define @t38 () (@list true)) % 0.44/0.63 (define @t39 () (@list @t37)) % 0.44/0.63 (define @t40 () (tptp.cartesian_product2 @t26 @t28)) % 0.44/0.63 (define @t41 () (tptp.subset @t40 @t30)) % 0.44/0.63 (define @t42 () (tptp.cartesian_product2 @t28 @t26)) % 0.44/0.63 (define @t43 () (and (tptp.subset @t42 (tptp.cartesian_product2 @t27 @t26)) @t41)) % 0.44/0.63 (define @t44 () (or @t34 @t43)) % 0.44/0.63 (define @t45 () (@list false false)) % 0.44/0.63 (define @t46 () (not @t19)) % 0.44/0.63 (define @t47 () (tptp.subset @t32 @t40)) % 0.44/0.63 (define @t48 () (and @t47 (tptp.subset (tptp.cartesian_product2 @t28 @t31) @t42))) % 0.44/0.63 (define @t49 () (or @t36 @t48)) % 0.44/0.63 (define @t50 () (not @t41)) % 0.44/0.63 (define @t51 () (not @t47)) % 0.44/0.63 (define @t52 () (or @t51 @t50 @t33)) % 0.44/0.63 (assume @p1 (exists @t3 @t2)) % 0.44/0.63 (assume @p2 (exists @t3 (not @t2))) % 0.44/0.63 (assume @p3 (forall (@list @t1 @t4) (tptp.subset @t1 @t1))) % 0.44/0.63 (assume @p4 @t10) % 0.44/0.63 (assume @p5 @t17) % 0.44/0.63 (assume @p6 @t21) % 0.44/0.63 (assume @p7 true) % 0.44/0.63 (step @p8 :rule bool-impl-elim :args (@t8 @t7)) % 0.44/0.63 (step @p9 :rule cong :premises (@p8) :args (@t10)) % 0.44/0.63 (step @p10 :rule eq_resolve :premises (@p4 @p9)) % 0.44/0.63 (step @p11 :rule instantiate :premises (@p10) :args ((@list @t28 @t27 @t26))) % 0.44/0.63 (step @p12 :rule aci_norm :args ((= (or (or @t23 @t22) @t12) @t24))) % 0.44/0.63 (step @p13 :rule refl :args (@t12)) % 0.44/0.63 (step @p14 :rule bool-and-de-morgan :args (@t8 @t13 true)) % 0.44/0.63 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or (not @t14) @t12))) % 0.44/0.63 (step @p16 :rule trans :premises (@p15 @p12)) % 0.44/0.63 (step @p17 :rule bool-impl-elim :args (@t14 @t12)) % 0.44/0.63 (step @p18 :rule trans :premises (@p17 @p16)) % 0.44/0.63 (step @p19 :rule cong :premises (@p18) :args (@t16)) % 0.44/0.63 (step @p20 :rule cong :premises (@p19) :args (@t17)) % 0.44/0.63 (step @p21 :rule eq_resolve :premises (@p5 @p20)) % 0.44/0.63 (step @p22 :rule skolemize :premises (@p21)) % 0.44/0.63 (step @p23 :rule bool-double-not-elim :args (@t29)) % 0.44/0.63 (step @p24 :rule refl :args (@t37)) % 0.44/0.63 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t37 (not @t34)))) % 0.44/0.63 (step @p26 :rule cnf_or_neg :args (@t37 1)) % 0.44/0.63 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 0.44/0.63 (step @p28 :rule reordering :premises (@p27) :args ((or @t29 @t37))) % 0.44/0.63 (step @p29 :rule chain_m_resolution :premises (@p28 @p22) :args (@t29 @t38 @t39)) % 0.44/0.63 (step @p30 :rule cnf_or_pos :args (@t44)) % 0.44/0.63 (step @p31 :rule reordering :premises (@p30) :args ((or @t34 @t43 (not @t44)))) % 0.44/0.63 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p11) :args (@t43 @t45 (@list @t29 @t44))) % 0.44/0.63 (step @p33 :rule aci_norm :args ((= (or (or @t23 @t46) @t18) (or @t23 @t46 @t18)))) % 0.44/0.63 (step @p34 :rule refl :args (@t18)) % 0.44/0.63 (step @p35 :rule bool-and-de-morgan :args (@t8 @t19 true)) % 0.44/0.63 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t20) @t18))) % 0.44/0.63 (step @p37 :rule trans :premises (@p36 @p33)) % 0.44/0.63 (step @p38 :rule bool-impl-elim :args (@t20 @t18)) % 0.44/0.63 (step @p39 :rule trans :premises (@p38 @p37)) % 0.44/0.63 (step @p40 :rule cong :premises (@p39) :args (@t21)) % 0.44/0.63 (step @p41 :rule eq_resolve :premises (@p6 @p40)) % 0.44/0.63 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t32 @t40 @t30))) % 0.44/0.63 (step @p43 :rule instantiate :premises (@p10) :args ((@list @t31 @t26 @t28))) % 0.44/0.63 (step @p44 :rule bool-double-not-elim :args (@t35)) % 0.44/0.63 (step @p45 :rule nary_cong :premises (@p24 @p44) :args ((or @t37 (not @t36)))) % 0.44/0.63 (step @p46 :rule cnf_or_neg :args (@t37 0)) % 0.44/0.63 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.44/0.63 (step @p48 :rule reordering :premises (@p47) :args ((or @t35 @t37))) % 0.44/0.63 (step @p49 :rule chain_m_resolution :premises (@p48 @p22) :args (@t35 @t38 @t39)) % 0.44/0.63 (step @p50 :rule cnf_or_pos :args (@t49)) % 0.44/0.63 (step @p51 :rule reordering :premises (@p50) :args ((or @t36 @t48 (not @t49)))) % 0.44/0.63 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p43) :args (@t48 @t45 (@list @t35 @t49))) % 0.44/0.63 (step @p53 :rule cnf_and_pos :args (@t48 0)) % 0.44/0.63 (step @p54 :rule reordering :premises (@p53) :args ((or @t47 (not @t48)))) % 0.44/0.63 (step @p55 :rule chain_m_resolution :premises (@p54 @p52) :args (@t47 (@list false) (@list @t48))) % 0.44/0.63 (step @p56 :rule cnf_or_neg :args (@t37 2)) % 0.44/0.63 (step @p57 :rule chain_m_resolution :premises (@p56 @p22) :args ((not @t33) @t38 @t39)) % 0.44/0.63 (step @p58 :rule cnf_or_pos :args (@t52)) % 0.44/0.63 (step @p59 :rule reordering :premises (@p58) :args ((or @t33 @t51 @t50 (not @t52)))) % 0.44/0.63 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p55 @p42) :args (@t50 (@list true false false) (@list @t33 @t47 @t52))) % 0.44/0.63 (step @p61 :rule cnf_and_pos :args (@t43 1)) % 0.44/0.63 (step @p62 :rule reordering :premises (@p61) :args ((or @t41 (not @t43)))) % 0.44/0.63 (step @p63 false :rule chain_m_resolution :premises (@p62 @p60 @p32) :args (false (@list true false) (@list @t41 @t43))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------