%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU167+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU167+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n016.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 16:33:54 EDT 2026 % 0.18/0.34 % CPUTime : % 0.33/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.62 % SZS status Theorem % 0.41/0.62 % SZS output start Proof % 0.41/0.62 ( % 0.41/0.62 (declare-sort $$unsorted 0) % 0.41/0.62 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.41/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.41/0.62 (define @t3 () (@var "C" $$unsorted)) % 0.41/0.62 (define @t4 () (tptp.cartesian_product2 @t1 @t3)) % 0.41/0.62 (define @t5 () (and (tptp.subset @t4 (tptp.cartesian_product2 @t2 @t3)) (tptp.subset (tptp.cartesian_product2 @t3 @t1) (tptp.cartesian_product2 @t3 @t2)))) % 0.41/0.62 (define @t6 () (tptp.subset @t1 @t2)) % 0.41/0.62 (define @t7 () (@list @t1 @t2 @t3)) % 0.41/0.62 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.41/0.62 (define @t9 () (@var "D" $$unsorted)) % 0.41/0.62 (define @t10 () (tptp.subset @t4 (tptp.cartesian_product2 @t2 @t9))) % 0.41/0.62 (define @t11 () (tptp.subset @t3 @t9)) % 0.41/0.62 (define @t12 () (and @t6 @t11)) % 0.41/0.62 (define @t13 () (@list @t1 @t2 @t3 @t9)) % 0.41/0.62 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.41/0.62 (define @t15 () (not @t14)) % 0.41/0.62 (define @t16 () (tptp.subset @t1 @t3)) % 0.41/0.62 (define @t17 () (tptp.subset @t2 @t3)) % 0.41/0.62 (define @t18 () (and @t6 @t17)) % 0.41/0.62 (define @t19 () (forall @t7 (=> @t18 @t16))) % 0.41/0.62 (define @t20 () (not @t11)) % 0.41/0.62 (define @t21 () (not @t6)) % 0.41/0.62 (define @t22 () (or @t21 @t20 @t10)) % 0.41/0.62 (define @t23 () (forall @t13 @t22)) % 0.41/0.62 (define @t24 () (@quantifiers_skolemize @t23 1)) % 0.41/0.62 (define @t25 () (@quantifiers_skolemize @t23 3)) % 0.41/0.62 (define @t26 () (@quantifiers_skolemize @t23 2)) % 0.41/0.62 (define @t27 () (tptp.subset @t26 @t25)) % 0.41/0.62 (define @t28 () (tptp.cartesian_product2 @t24 @t25)) % 0.41/0.62 (define @t29 () (@quantifiers_skolemize @t23 0)) % 0.41/0.62 (define @t30 () (tptp.cartesian_product2 @t29 @t26)) % 0.41/0.62 (define @t31 () (tptp.subset @t30 @t28)) % 0.41/0.62 (define @t32 () (not @t27)) % 0.41/0.62 (define @t33 () (tptp.subset @t29 @t24)) % 0.41/0.62 (define @t34 () (not @t33)) % 0.41/0.62 (define @t35 () (or @t34 @t32 @t31)) % 0.41/0.62 (define @t36 () (@list true)) % 0.41/0.62 (define @t37 () (@list @t35)) % 0.41/0.62 (define @t38 () (tptp.cartesian_product2 @t24 @t26)) % 0.41/0.62 (define @t39 () (tptp.subset @t38 @t28)) % 0.41/0.62 (define @t40 () (tptp.cartesian_product2 @t26 @t24)) % 0.41/0.62 (define @t41 () (and (tptp.subset @t40 (tptp.cartesian_product2 @t25 @t24)) @t39)) % 0.41/0.62 (define @t42 () (or @t32 @t41)) % 0.41/0.62 (define @t43 () (@list false false)) % 0.41/0.62 (define @t44 () (not @t17)) % 0.41/0.62 (define @t45 () (tptp.subset @t30 @t38)) % 0.41/0.62 (define @t46 () (and @t45 (tptp.subset (tptp.cartesian_product2 @t26 @t29) @t40))) % 0.41/0.62 (define @t47 () (or @t34 @t46)) % 0.41/0.62 (define @t48 () (not @t39)) % 0.41/0.62 (define @t49 () (not @t45)) % 0.41/0.62 (define @t50 () (or @t49 @t48 @t31)) % 0.41/0.62 (assume @p1 true) % 0.41/0.62 (assume @p2 (forall (@list @t1 @t2) (tptp.subset @t1 @t1))) % 0.41/0.62 (assume @p3 @t8) % 0.41/0.62 (assume @p4 @t15) % 0.41/0.62 (assume @p5 @t19) % 0.41/0.62 (step @p6 :rule bool-impl-elim :args (@t6 @t5)) % 0.41/0.62 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 0.41/0.62 (step @p8 :rule eq_resolve :premises (@p3 @p7)) % 0.41/0.62 (step @p9 :rule instantiate :premises (@p8) :args ((@list @t26 @t25 @t24))) % 0.41/0.62 (step @p10 :rule aci_norm :args ((= (or (or @t21 @t20) @t10) @t22))) % 0.41/0.62 (step @p11 :rule refl :args (@t10)) % 0.41/0.62 (step @p12 :rule bool-and-de-morgan :args (@t6 @t11 true)) % 0.41/0.62 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t12) @t10))) % 0.41/0.62 (step @p14 :rule trans :premises (@p13 @p10)) % 0.41/0.62 (step @p15 :rule bool-impl-elim :args (@t12 @t10)) % 0.41/0.62 (step @p16 :rule trans :premises (@p15 @p14)) % 0.41/0.62 (step @p17 :rule cong :premises (@p16) :args (@t14)) % 0.41/0.62 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 0.41/0.62 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 0.41/0.62 (step @p20 :rule skolemize :premises (@p19)) % 0.41/0.62 (step @p21 :rule bool-double-not-elim :args (@t27)) % 0.41/0.62 (step @p22 :rule refl :args (@t35)) % 0.41/0.62 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t35 (not @t32)))) % 0.41/0.62 (step @p24 :rule cnf_or_neg :args (@t35 1)) % 0.41/0.62 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.41/0.62 (step @p26 :rule reordering :premises (@p25) :args ((or @t27 @t35))) % 0.41/0.62 (step @p27 :rule chain_m_resolution :premises (@p26 @p20) :args (@t27 @t36 @t37)) % 0.41/0.62 (step @p28 :rule cnf_or_pos :args (@t42)) % 0.41/0.62 (step @p29 :rule reordering :premises (@p28) :args ((or @t32 @t41 (not @t42)))) % 0.41/0.62 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p9) :args (@t41 @t43 (@list @t27 @t42))) % 0.41/0.62 (step @p31 :rule aci_norm :args ((= (or (or @t21 @t44) @t16) (or @t21 @t44 @t16)))) % 0.41/0.62 (step @p32 :rule refl :args (@t16)) % 0.41/0.62 (step @p33 :rule bool-and-de-morgan :args (@t6 @t17 true)) % 0.41/0.62 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t18) @t16))) % 0.41/0.62 (step @p35 :rule trans :premises (@p34 @p31)) % 0.41/0.62 (step @p36 :rule bool-impl-elim :args (@t18 @t16)) % 0.41/0.62 (step @p37 :rule trans :premises (@p36 @p35)) % 0.41/0.62 (step @p38 :rule cong :premises (@p37) :args (@t19)) % 0.41/0.62 (step @p39 :rule eq_resolve :premises (@p5 @p38)) % 0.41/0.62 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t30 @t38 @t28))) % 0.41/0.62 (step @p41 :rule instantiate :premises (@p8) :args ((@list @t29 @t24 @t26))) % 0.41/0.62 (step @p42 :rule bool-double-not-elim :args (@t33)) % 0.41/0.62 (step @p43 :rule nary_cong :premises (@p22 @p42) :args ((or @t35 (not @t34)))) % 0.41/0.62 (step @p44 :rule cnf_or_neg :args (@t35 0)) % 0.41/0.62 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.41/0.62 (step @p46 :rule reordering :premises (@p45) :args ((or @t33 @t35))) % 0.41/0.62 (step @p47 :rule chain_m_resolution :premises (@p46 @p20) :args (@t33 @t36 @t37)) % 0.41/0.62 (step @p48 :rule cnf_or_pos :args (@t47)) % 0.41/0.62 (step @p49 :rule reordering :premises (@p48) :args ((or @t34 @t46 (not @t47)))) % 0.41/0.62 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p41) :args (@t46 @t43 (@list @t33 @t47))) % 0.41/0.62 (step @p51 :rule cnf_and_pos :args (@t46 0)) % 0.41/0.62 (step @p52 :rule reordering :premises (@p51) :args ((or @t45 (not @t46)))) % 0.41/0.62 (step @p53 :rule chain_m_resolution :premises (@p52 @p50) :args (@t45 (@list false) (@list @t46))) % 0.41/0.62 (step @p54 :rule cnf_or_neg :args (@t35 2)) % 0.41/0.62 (step @p55 :rule chain_m_resolution :premises (@p54 @p20) :args ((not @t31) @t36 @t37)) % 0.41/0.62 (step @p56 :rule cnf_or_pos :args (@t50)) % 0.41/0.62 (step @p57 :rule reordering :premises (@p56) :args ((or @t31 @t49 @t48 (not @t50)))) % 0.41/0.62 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p53 @p40) :args (@t48 (@list true false false) (@list @t31 @t45 @t50))) % 0.41/0.62 (step @p59 :rule cnf_and_pos :args (@t41 1)) % 0.41/0.62 (step @p60 :rule reordering :premises (@p59) :args ((or @t39 (not @t41)))) % 0.41/0.62 (step @p61 false :rule chain_m_resolution :premises (@p60 @p58 @p30) :args (false (@list true false) (@list @t39 @t41))) % 0.41/0.62 ) % 0.41/0.62 % SZS output end Proof % 0.41/0.62 % cvc5 exiting %------------------------------------------------------------------------------