%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW469+1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:04:58 AM UTC 2026 % Result : Theorem 0.34s 0.58s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : SWW469+1 : TPTP v9.2.1. Released v5.3.0. % 0.09/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n015.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.37 % DateTime : Tue Jun 2 22:01:04 EDT 2026 % 0.16/0.37 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.58 % SZS status Theorem % 0.34/0.58 % SZS output start Proof % 0.34/0.58 ( % 0.34/0.58 (declare-sort $$unsorted 0) % 0.34/0.58 (declare-const tptp.hoare_165779456gleton Bool) % 0.34/0.58 (declare-const tptp.is_state (-> $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.induct_true Bool) % 0.34/0.58 (declare-const tptp.undefined_state (-> $$unsorted $$unsorted)) % 0.34/0.58 (declare-const tptp.induct_false Bool) % 0.34/0.58 (declare-const tptp.state $$unsorted) % 0.34/0.58 (define @t1 () (tptp.undefined_state tptp.state)) % 0.34/0.58 (define @t2 () (tptp.is_state @t1)) % 0.34/0.58 (define @t3 () (@var "T" $$unsorted)) % 0.34/0.58 (define @t4 () (@var "S" $$unsorted)) % 0.34/0.58 (define @t5 () (= @t4 @t3)) % 0.34/0.58 (define @t6 () (not @t5)) % 0.34/0.58 (define @t7 () (tptp.is_state @t3)) % 0.34/0.58 (define @t8 () (tptp.is_state @t4)) % 0.34/0.58 (define @t9 () (and @t8 @t7 @t6)) % 0.34/0.58 (define @t10 () (@list @t4 @t3)) % 0.34/0.58 (define @t11 () (exists @t10 @t9)) % 0.34/0.58 (define @t12 () (= tptp.hoare_165779456gleton @t11)) % 0.34/0.58 (define @t13 () (@list @t4)) % 0.34/0.58 (define @t14 () (forall @t13 (=> @t8 @t5))) % 0.34/0.58 (define @t15 () (not @t14)) % 0.34/0.58 (define @t16 () (=> @t7 @t15)) % 0.34/0.58 (define @t17 () (@list @t3)) % 0.34/0.58 (define @t18 () (forall @t17 @t16)) % 0.34/0.58 (define @t19 () (not @t18)) % 0.34/0.58 (define @t20 () (not @t8)) % 0.34/0.58 (define @t21 () (not (forall @t13 (or @t20 @t5)))) % 0.34/0.58 (define @t22 () (not @t7)) % 0.34/0.58 (define @t23 () (@quantifiers_skolemize (forall @t17 (or @t22 @t21)) 0)) % 0.34/0.58 (define @t24 () (forall @t13 (or @t20 (= @t4 @t23)))) % 0.34/0.58 (define @t25 () (not @t24)) % 0.34/0.58 (define @t26 () (or (not (tptp.is_state @t23)) @t25)) % 0.34/0.58 (define @t27 () (@list true)) % 0.34/0.58 (define @t28 () (forall @t10 (or @t20 @t22 @t5))) % 0.34/0.58 (define @t29 () (@quantifiers_skolemize @t28 1)) % 0.34/0.58 (define @t30 () (not @t6)) % 0.34/0.58 (define @t31 () (or @t20 @t22 @t30)) % 0.34/0.58 (define @t32 () (forall @t10 (not @t9))) % 0.34/0.58 (define @t33 () (not @t32)) % 0.34/0.58 (define @t34 () (not @t28)) % 0.34/0.58 (define @t35 () (tptp.is_state @t29)) % 0.34/0.58 (define @t36 () (@quantifiers_skolemize @t28 0)) % 0.34/0.58 (define @t37 () (= @t36 @t29)) % 0.34/0.58 (define @t38 () (not @t35)) % 0.34/0.58 (define @t39 () (tptp.is_state @t36)) % 0.34/0.58 (define @t40 () (not @t39)) % 0.34/0.58 (define @t41 () (or @t40 @t38 @t37)) % 0.34/0.58 (define @t42 () (@list @t41)) % 0.34/0.58 (define @t43 () (= @t29 @t23)) % 0.34/0.58 (define @t44 () (or @t38 @t43)) % 0.34/0.58 (define @t45 () (@list false false)) % 0.34/0.58 (define @t46 () (= @t1 @t23)) % 0.34/0.58 (define @t47 () (not @t2)) % 0.34/0.58 (define @t48 () (or @t47 @t46)) % 0.34/0.58 (define @t49 () (= @t36 @t23)) % 0.34/0.58 (define @t50 () (or @t40 @t49)) % 0.34/0.58 (assume @p1 @t2) % 0.34/0.58 (assume @p2 @t12) % 0.34/0.58 (assume @p3 (not tptp.induct_false)) % 0.34/0.58 (assume @p4 tptp.induct_true) % 0.34/0.58 (assume @p5 tptp.hoare_165779456gleton) % 0.34/0.58 (assume @p6 @t19) % 0.34/0.58 (assume @p7 true) % 0.34/0.58 (step @p8 :rule evaluate :args ((= false true))) % 0.34/0.58 (step @p9 :rule bool-impl-elim :args (@t7 @t21)) % 0.34/0.58 (step @p10 :rule cong :premises (@p9) :args ((forall @t17 (=> @t7 @t21)))) % 0.34/0.58 (step @p11 :rule bool-impl-elim :args (@t8 @t5)) % 0.34/0.58 (step @p12 :rule cong :premises (@p11) :args (@t14)) % 0.34/0.58 (step @p13 :rule cong :premises (@p12) :args (@t15)) % 0.34/0.58 (step @p14 :rule refl :args (@t7)) % 0.34/0.58 (step @p15 :rule cong :premises (@p14 @p13) :args (@t16)) % 0.34/0.58 (step @p16 :rule cong :premises (@p15) :args (@t18)) % 0.34/0.58 (step @p17 :rule trans :premises (@p16 @p10)) % 0.34/0.58 (step @p18 :rule cong :premises (@p17) :args (@t19)) % 0.34/0.58 (step @p19 :rule eq_resolve :premises (@p6 @p18)) % 0.34/0.58 (step @p20 :rule skolemize :premises (@p19)) % 0.34/0.58 (step @p21 :rule bool-double-not-elim :args (@t24)) % 0.34/0.58 (step @p22 :rule refl :args (@t26)) % 0.34/0.58 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t26 (not @t25)))) % 0.34/0.58 (step @p24 :rule cnf_or_neg :args (@t26 1)) % 0.34/0.58 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.34/0.58 (step @p26 :rule reordering :premises (@p25) :args ((or @t24 @t26))) % 0.34/0.58 (step @p27 :rule chain_m_resolution :premises (@p26 @p20) :args (@t24 @t27 (@list @t26))) % 0.34/0.58 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t29))) % 0.34/0.58 (step @p29 :rule bool-double-not-elim :args (@t5)) % 0.34/0.58 (step @p30 :rule refl :args (@t22)) % 0.34/0.58 (step @p31 :rule refl :args (@t20)) % 0.34/0.58 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args (@t31)) % 0.34/0.58 (step @p33 :rule aci_norm :args ((= (or @t20 (or @t22 @t30)) @t31))) % 0.34/0.58 (step @p34 :rule trans :premises (@p33 @p32)) % 0.34/0.58 (step @p35 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.34/0.58 (step @p36 :rule nary_cong :premises (@p31 @p35) :args ((or @t20 (not (and @t7 @t6))))) % 0.34/0.58 (step @p37 :rule bool-and-de-morgan :args (@t8 @t7 (and @t6))) % 0.34/0.58 (step @p38 :rule trans :premises (@p37 @p36)) % 0.34/0.58 (step @p39 :rule trans :premises (@p38 @p34)) % 0.34/0.58 (step @p40 :rule cong :premises (@p39) :args (@t32)) % 0.34/0.58 (step @p41 :rule cong :premises (@p40) :args (@t33)) % 0.34/0.58 (step @p42 :rule exists-elim :args ((= @t11 @t33))) % 0.34/0.58 (step @p43 :rule trans :premises (@p42 @p41)) % 0.34/0.58 (step @p44 :rule refl :args (tptp.hoare_165779456gleton)) % 0.34/0.58 (step @p45 :rule cong :premises (@p44 @p43) :args (@t12)) % 0.34/0.58 (step @p46 :rule eq_resolve :premises (@p2 @p45)) % 0.34/0.58 (step @p47 :rule equiv_elim1 :premises (@p46)) % 0.34/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t34 (not tptp.hoare_165779456gleton)))) % 0.34/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p5) :args (@t34 (@list false) (@list tptp.hoare_165779456gleton))) % 0.34/0.58 (step @p50 :rule skolemize :premises (@p49)) % 0.34/0.58 (step @p51 :rule bool-double-not-elim :args (@t35)) % 0.34/0.58 (step @p52 :rule refl :args (@t41)) % 0.34/0.58 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t41 (not @t38)))) % 0.34/0.58 (step @p54 :rule cnf_or_neg :args (@t41 1)) % 0.34/0.58 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.34/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t35 @t41))) % 0.34/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p50) :args (@t35 @t27 @t42)) % 0.34/0.58 (step @p58 :rule cnf_or_pos :args (@t44)) % 0.34/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t38 @t43 (not @t44)))) % 0.34/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p28) :args (@t43 @t45 (@list @t35 @t44))) % 0.34/0.58 (step @p61 :rule symm :premises (@p60)) % 0.34/0.58 (step @p62 :rule instantiate :premises (@p27) :args ((@list @t1))) % 0.34/0.58 (step @p63 :rule cnf_or_pos :args (@t48)) % 0.34/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t47 @t46 (not @t48)))) % 0.34/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p1 @p62) :args (@t46 @t45 (@list @t2 @t48))) % 0.34/0.58 (step @p66 :rule symm :premises (@p65)) % 0.34/0.58 (step @p67 :rule instantiate :premises (@p27) :args ((@list @t36))) % 0.34/0.58 (step @p68 :rule bool-double-not-elim :args (@t39)) % 0.34/0.58 (step @p69 :rule nary_cong :premises (@p52 @p68) :args ((or @t41 (not @t40)))) % 0.34/0.58 (step @p70 :rule cnf_or_neg :args (@t41 0)) % 0.34/0.58 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.34/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or @t39 @t41))) % 0.34/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p50) :args (@t39 @t27 @t42)) % 0.34/0.58 (step @p74 :rule cnf_or_pos :args (@t50)) % 0.34/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t40 @t49 (not @t50)))) % 0.34/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67) :args (@t49 @t45 (@list @t39 @t50))) % 0.34/0.58 (step @p77 :rule trans :premises (@p76 @p66)) % 0.34/0.58 (step @p78 :rule trans :premises (@p77 @p65 @p61)) % 0.34/0.58 (step @p79 :rule true_intro :premises (@p78)) % 0.34/0.58 (step @p80 :rule cnf_or_neg :args (@t41 2)) % 0.34/0.58 (step @p81 :rule chain_m_resolution :premises (@p80 @p50) :args ((not @t37) @t27 @t42)) % 0.34/0.58 (step @p82 :rule false_intro :premises (@p81)) % 0.34/0.58 (step @p83 :rule symm :premises (@p82)) % 0.34/0.58 (step @p84 :rule trans :premises (@p83 @p79)) % 0.34/0.58 (step @p85 false :rule eq_resolve :premises (@p84 @p8)) % 0.34/0.58 ) % 0.34/0.58 % SZS output end Proof % 0.34/0.58 % cvc5 exiting %------------------------------------------------------------------------------