%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU121+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 : 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 08:50:36 AM UTC 2026 % Result : Theorem 0.28s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU121+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 % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:30:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort $$unsorted 0) % 0.28/0.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.28/0.55 (declare-const tptp.empty_set $$unsorted) % 0.28/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.28/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.28/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.28/0.55 (define @t2 () (@var "B" $$unsorted)) % 0.28/0.55 (define @t3 () (tptp.in @t1 @t2)) % 0.28/0.55 (define @t4 () (@list @t1 @t2)) % 0.28/0.55 (define @t5 () (@var "C" $$unsorted)) % 0.28/0.55 (define @t6 () (tptp.in @t5 @t2)) % 0.28/0.55 (define @t7 () (tptp.in @t5 @t1)) % 0.28/0.55 (define @t8 () (@list @t5)) % 0.28/0.55 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.28/0.55 (define @t10 () (tptp.subset @t1 @t2)) % 0.28/0.55 (define @t11 () (= @t10 @t9)) % 0.28/0.55 (define @t12 () (forall @t4 @t11)) % 0.28/0.55 (define @t13 () (tptp.empty @t1)) % 0.28/0.55 (define @t14 () (@list @t1)) % 0.28/0.55 (define @t15 () (tptp.subset @t1 @t5)) % 0.28/0.55 (define @t16 () (tptp.subset @t2 @t5)) % 0.28/0.55 (define @t17 () (and @t10 @t16)) % 0.28/0.55 (define @t18 () (@list @t1 @t2 @t5)) % 0.28/0.55 (define @t19 () (forall @t18 (=> @t17 @t15))) % 0.28/0.55 (define @t20 () (not @t19)) % 0.28/0.55 (define @t21 () (tptp.empty @t2)) % 0.28/0.55 (define @t22 () (not @t16)) % 0.28/0.55 (define @t23 () (not @t10)) % 0.28/0.55 (define @t24 () (or @t23 @t22 @t15)) % 0.28/0.55 (define @t25 () (forall @t18 @t24)) % 0.28/0.55 (define @t26 () (@quantifiers_skolemize @t25 2)) % 0.28/0.55 (define @t27 () (@quantifiers_skolemize @t25 0)) % 0.28/0.55 (define @t28 () (tptp.subset @t27 @t26)) % 0.28/0.55 (define @t29 () (@quantifiers_skolemize @t25 1)) % 0.28/0.55 (define @t30 () (tptp.subset @t29 @t26)) % 0.28/0.55 (define @t31 () (not @t30)) % 0.28/0.55 (define @t32 () (tptp.subset @t27 @t29)) % 0.28/0.55 (define @t33 () (not @t32)) % 0.28/0.55 (define @t34 () (or @t33 @t31 @t28)) % 0.28/0.55 (define @t35 () (@list true)) % 0.28/0.55 (define @t36 () (@list @t34)) % 0.28/0.55 (define @t37 () (tptp.in @t5 @t26)) % 0.28/0.55 (define @t38 () (not (tptp.in @t5 @t27))) % 0.28/0.55 (define @t39 () (forall @t8 (or @t38 @t37))) % 0.28/0.55 (define @t40 () (= @t28 @t39)) % 0.28/0.55 (define @t41 () (not @t39)) % 0.28/0.55 (define @t42 () (@quantifiers_skolemize @t39 0)) % 0.28/0.55 (define @t43 () (tptp.in @t42 @t26)) % 0.28/0.55 (define @t44 () (tptp.in @t42 @t27)) % 0.28/0.55 (define @t45 () (not @t44)) % 0.28/0.55 (define @t46 () (or @t45 @t43)) % 0.28/0.55 (define @t47 () (@list @t46)) % 0.28/0.55 (define @t48 () (tptp.in @t5 @t29)) % 0.28/0.55 (define @t49 () (forall @t8 (or (not @t48) @t37))) % 0.28/0.55 (define @t50 () (= @t30 @t49)) % 0.28/0.55 (define @t51 () (@list false false)) % 0.28/0.55 (define @t52 () (@list @t42)) % 0.28/0.55 (define @t53 () (forall @t8 (or @t38 @t48))) % 0.28/0.55 (define @t54 () (= @t32 @t53)) % 0.28/0.55 (define @t55 () (tptp.in @t42 @t29)) % 0.28/0.55 (define @t56 () (or @t45 @t55)) % 0.28/0.55 (define @t57 () (not @t55)) % 0.28/0.55 (define @t58 () (or @t57 @t43)) % 0.28/0.55 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.28/0.55 (assume @p2 @t12) % 0.28/0.55 (assume @p3 true) % 0.28/0.55 (assume @p4 (tptp.empty tptp.empty_set)) % 0.28/0.55 (assume @p5 (exists @t14 @t13)) % 0.28/0.55 (assume @p6 (exists @t14 (not @t13))) % 0.28/0.55 (assume @p7 (forall @t4 (tptp.subset @t1 @t1))) % 0.28/0.55 (assume @p8 @t20) % 0.28/0.55 (assume @p9 (forall @t14 (=> @t13 (= @t1 tptp.empty_set)))) % 0.28/0.55 (assume @p10 (forall @t4 (not (and @t3 @t21)))) % 0.28/0.55 (assume @p11 (forall @t4 (not (and @t13 (not (= @t1 @t2)) @t21)))) % 0.28/0.55 (step @p12 :rule bool-impl-elim :args (@t7 @t6)) % 0.28/0.55 (step @p13 :rule cong :premises (@p12) :args (@t9)) % 0.28/0.55 (step @p14 :rule refl :args (@t10)) % 0.28/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args (@t11)) % 0.28/0.55 (step @p16 :rule cong :premises (@p15) :args (@t12)) % 0.28/0.55 (step @p17 :rule eq_resolve :premises (@p2 @p16)) % 0.28/0.55 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t27 @t26))) % 0.28/0.55 (step @p19 :rule aci_norm :args ((= (or (or @t23 @t22) @t15) @t24))) % 0.28/0.55 (step @p20 :rule refl :args (@t15)) % 0.28/0.55 (step @p21 :rule bool-and-de-morgan :args (@t10 @t16 true)) % 0.28/0.55 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t17) @t15))) % 0.28/0.55 (step @p23 :rule trans :premises (@p22 @p19)) % 0.28/0.55 (step @p24 :rule bool-impl-elim :args (@t17 @t15)) % 0.28/0.55 (step @p25 :rule trans :premises (@p24 @p23)) % 0.28/0.55 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.28/0.55 (step @p27 :rule cong :premises (@p26) :args (@t20)) % 0.28/0.55 (step @p28 :rule eq_resolve :premises (@p8 @p27)) % 0.28/0.55 (step @p29 :rule skolemize :premises (@p28)) % 0.28/0.55 (step @p30 :rule cnf_or_neg :args (@t34 2)) % 0.28/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args ((not @t28) @t35 @t36)) % 0.28/0.55 (step @p32 :rule cnf_equiv_pos2 :args (@t40)) % 0.28/0.55 (step @p33 :rule reordering :premises (@p32) :args ((or @t28 @t41 (not @t40)))) % 0.37/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p18) :args (@t41 (@list true false) (@list @t28 @t40))) % 0.37/0.56 (step @p35 :rule skolemize :premises (@p34)) % 0.37/0.56 (step @p36 :rule cnf_or_neg :args (@t46 1)) % 0.37/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p35) :args ((not @t43) @t35 @t47)) % 0.37/0.56 (step @p38 :rule instantiate :premises (@p17) :args ((@list @t29 @t26))) % 0.37/0.56 (step @p39 :rule bool-double-not-elim :args (@t30)) % 0.37/0.56 (step @p40 :rule refl :args (@t34)) % 0.37/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t34 (not @t31)))) % 0.37/0.56 (step @p42 :rule cnf_or_neg :args (@t34 1)) % 0.37/0.56 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.37/0.56 (step @p44 :rule reordering :premises (@p43) :args ((or @t30 @t34))) % 0.37/0.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p29) :args (@t30 @t35 @t36)) % 0.37/0.56 (step @p46 :rule cnf_equiv_pos1 :args (@t50)) % 0.37/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t31 @t49 (not @t50)))) % 0.37/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p38) :args (@t49 @t51 (@list @t30 @t50))) % 0.37/0.56 (step @p49 :rule instantiate :premises (@p48) :args (@t52)) % 0.37/0.56 (step @p50 :rule instantiate :premises (@p17) :args ((@list @t27 @t29))) % 0.37/0.56 (step @p51 :rule bool-double-not-elim :args (@t32)) % 0.37/0.56 (step @p52 :rule nary_cong :premises (@p40 @p51) :args ((or @t34 (not @t33)))) % 0.37/0.56 (step @p53 :rule cnf_or_neg :args (@t34 0)) % 0.37/0.56 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.37/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or @t32 @t34))) % 0.37/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p29) :args (@t32 @t35 @t36)) % 0.37/0.56 (step @p57 :rule cnf_equiv_pos1 :args (@t54)) % 0.37/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t33 @t53 (not @t54)))) % 0.37/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p50) :args (@t53 @t51 (@list @t32 @t54))) % 0.37/0.56 (step @p60 :rule instantiate :premises (@p59) :args (@t52)) % 0.37/0.56 (step @p61 :rule bool-double-not-elim :args (@t44)) % 0.37/0.56 (step @p62 :rule refl :args (@t46)) % 0.37/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t46 (not @t45)))) % 0.37/0.56 (step @p64 :rule cnf_or_neg :args (@t46 0)) % 0.37/0.56 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.37/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t44 @t46))) % 0.37/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p35) :args (@t44 @t35 @t47)) % 0.37/0.56 (step @p68 :rule cnf_or_pos :args (@t56)) % 0.37/0.56 (step @p69 :rule reordering :premises (@p68) :args ((or @t45 @t55 (not @t56)))) % 0.37/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p60) :args (@t55 @t51 (@list @t44 @t56))) % 0.37/0.56 (step @p71 :rule cnf_or_pos :args (@t58)) % 0.37/0.56 (step @p72 :rule reordering :premises (@p71) :args ((or @t43 @t57 (not @t58)))) % 0.37/0.56 (step @p73 false :rule chain_m_resolution :premises (@p72 @p70 @p49 @p37) :args (false (@list false false true) (@list @t55 @t58 @t43))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------