%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN061+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:07:57 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN061+1 : TPTP v9.2.1. Released v2.0.0. % 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 : n022.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 23:19:38 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort $$unsorted 0) % 0.27/0.55 (declare-const tptp.big_j (-> $$unsorted Bool)) % 0.27/0.55 (declare-const tptp.big_i (-> $$unsorted Bool)) % 0.27/0.55 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.27/0.55 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.27/0.55 (declare-const tptp.big_h (-> $$unsorted Bool)) % 0.27/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.27/0.55 (define @t2 () (tptp.big_h @t1)) % 0.27/0.55 (define @t3 () (tptp.big_g @t1)) % 0.27/0.55 (define @t4 () (or @t3 @t2)) % 0.27/0.55 (define @t5 () (tptp.big_f @t1)) % 0.27/0.55 (define @t6 () (and @t5 @t4)) % 0.27/0.55 (define @t7 () (@list @t1)) % 0.27/0.55 (define @t8 () (exists @t7 @t6)) % 0.27/0.55 (define @t9 () (not @t8)) % 0.27/0.55 (define @t10 () (tptp.big_i @t1)) % 0.27/0.55 (define @t11 () (and @t10 @t5)) % 0.27/0.55 (define @t12 () (exists @t7 @t11)) % 0.27/0.55 (define @t13 () (tptp.big_j @t1)) % 0.27/0.55 (define @t14 () (not @t2)) % 0.27/0.55 (define @t15 () (forall @t7 (=> @t14 @t13))) % 0.27/0.55 (define @t16 () (and @t10 @t13)) % 0.27/0.55 (define @t17 () (exists @t7 @t16)) % 0.27/0.55 (define @t18 () (not @t17)) % 0.27/0.55 (define @t19 () (not @t10)) % 0.27/0.55 (define @t20 () (forall @t7 (not @t16))) % 0.27/0.55 (define @t21 () (not @t20)) % 0.27/0.55 (define @t22 () (not @t5)) % 0.27/0.55 (define @t23 () (@quantifiers_skolemize (forall @t7 (or @t19 @t22)) 0)) % 0.27/0.55 (define @t24 () (@list @t23)) % 0.27/0.55 (define @t25 () (forall @t7 (not @t11))) % 0.27/0.55 (define @t26 () (not @t25)) % 0.27/0.55 (define @t27 () (tptp.big_i @t23)) % 0.27/0.55 (define @t28 () (tptp.big_f @t23)) % 0.27/0.55 (define @t29 () (not @t28)) % 0.27/0.55 (define @t30 () (not @t27)) % 0.27/0.55 (define @t31 () (or @t30 @t29)) % 0.27/0.55 (define @t32 () (@list true)) % 0.27/0.55 (define @t33 () (@list @t31)) % 0.27/0.55 (define @t34 () (tptp.big_j @t23)) % 0.27/0.55 (define @t35 () (not @t34)) % 0.27/0.55 (define @t36 () (or @t30 @t35)) % 0.27/0.55 (define @t37 () (@list false false)) % 0.27/0.55 (define @t38 () (forall @t7 (not @t6))) % 0.27/0.55 (define @t39 () (not @t38)) % 0.27/0.55 (define @t40 () (tptp.big_h @t23)) % 0.27/0.55 (define @t41 () (not @t40)) % 0.27/0.55 (define @t42 () (and (not (tptp.big_g @t23)) @t41)) % 0.27/0.55 (define @t43 () (or @t29 @t42)) % 0.27/0.55 (define @t44 () (or @t40 @t34)) % 0.27/0.55 (define @t45 () (not @t44)) % 0.27/0.55 (define @t46 () (forall @t7 (or @t2 @t13))) % 0.27/0.55 (assume @p1 @t9) % 0.27/0.55 (assume @p2 @t12) % 0.27/0.55 (assume @p3 @t15) % 0.27/0.55 (assume @p4 @t18) % 0.27/0.55 (assume @p5 true) % 0.27/0.55 (step @p6 :rule refl :args (@t13)) % 0.27/0.55 (step @p7 :rule bool-double-not-elim :args (@t2)) % 0.27/0.55 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or (not @t14) @t13))) % 0.27/0.55 (step @p9 :rule bool-impl-elim :args (@t14 @t13)) % 0.27/0.55 (step @p10 :rule trans :premises (@p9 @p8)) % 0.27/0.55 (step @p11 :rule cong :premises (@p10) :args (@t15)) % 0.27/0.55 (step @p12 :rule eq_resolve :premises (@p3 @p11)) % 0.27/0.55 (step @p13 :rule bool-double-not-elim :args ((forall @t7 (or @t19 (not @t13))))) % 0.27/0.55 (step @p14 :rule bool-and-de-morgan :args (@t10 @t13 true)) % 0.27/0.55 (step @p15 :rule cong :premises (@p14) :args (@t20)) % 0.27/0.55 (step @p16 :rule cong :premises (@p15) :args (@t21)) % 0.27/0.55 (step @p17 :rule exists-elim :args ((= @t17 @t21))) % 0.27/0.55 (step @p18 :rule trans :premises (@p17 @p16)) % 0.27/0.55 (step @p19 :rule cong :premises (@p18) :args (@t18)) % 0.27/0.55 (step @p20 :rule trans :premises (@p19 @p13)) % 0.27/0.55 (step @p21 :rule eq_resolve :premises (@p4 @p20)) % 0.27/0.55 (step @p22 :rule instantiate :premises (@p21) :args (@t24)) % 0.27/0.55 (step @p23 :rule bool-and-de-morgan :args (@t10 @t5 true)) % 0.27/0.55 (step @p24 :rule cong :premises (@p23) :args (@t25)) % 0.27/0.55 (step @p25 :rule cong :premises (@p24) :args (@t26)) % 0.27/0.55 (step @p26 :rule exists-elim :args ((= @t12 @t26))) % 0.27/0.55 (step @p27 :rule trans :premises (@p26 @p25)) % 0.27/0.55 (step @p28 :rule eq_resolve :premises (@p2 @p27)) % 0.27/0.55 (step @p29 :rule skolemize :premises (@p28)) % 0.27/0.55 (step @p30 :rule bool-double-not-elim :args (@t27)) % 0.27/0.55 (step @p31 :rule refl :args (@t31)) % 0.27/0.55 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t31 (not @t30)))) % 0.27/0.55 (step @p33 :rule cnf_or_neg :args (@t31 0)) % 0.27/0.55 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.27/0.55 (step @p35 :rule reordering :premises (@p34) :args ((or @t27 @t31))) % 0.27/0.55 (step @p36 :rule chain_m_resolution :premises (@p35 @p29) :args (@t27 @t32 @t33)) % 0.27/0.55 (step @p37 :rule cnf_or_pos :args (@t36)) % 0.27/0.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t30 @t35 (not @t36)))) % 0.27/0.55 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p22) :args (@t35 @t37 (@list @t27 @t36))) % 0.27/0.55 (step @p40 :rule bool-double-not-elim :args ((forall @t7 (or @t22 (and (not @t3) @t14))))) % 0.27/0.55 (step @p41 :rule bool-or-de-morgan :args (@t3 @t2 false)) % 0.27/0.55 (step @p42 :rule refl :args (@t22)) % 0.27/0.55 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t22 (not @t4)))) % 0.27/0.55 (step @p44 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.27/0.55 (step @p45 :rule trans :premises (@p44 @p43)) % 0.27/0.55 (step @p46 :rule cong :premises (@p45) :args (@t38)) % 0.27/0.55 (step @p47 :rule cong :premises (@p46) :args (@t39)) % 0.27/0.55 (step @p48 :rule exists-elim :args ((= @t8 @t39))) % 0.27/0.55 (step @p49 :rule trans :premises (@p48 @p47)) % 0.27/0.55 (step @p50 :rule cong :premises (@p49) :args (@t9)) % 0.27/0.55 (step @p51 :rule trans :premises (@p50 @p40)) % 0.27/0.55 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.27/0.55 (step @p53 :rule instantiate :premises (@p52) :args (@t24)) % 0.27/0.55 (step @p54 :rule bool-double-not-elim :args (@t28)) % 0.27/0.55 (step @p55 :rule nary_cong :premises (@p31 @p54) :args ((or @t31 (not @t29)))) % 0.27/0.55 (step @p56 :rule cnf_or_neg :args (@t31 1)) % 0.27/0.55 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.27/0.55 (step @p58 :rule reordering :premises (@p57) :args ((or @t28 @t31))) % 0.27/0.55 (step @p59 :rule chain_m_resolution :premises (@p58 @p29) :args (@t28 @t32 @t33)) % 0.27/0.55 (step @p60 :rule cnf_or_pos :args (@t43)) % 0.27/0.55 (step @p61 :rule reordering :premises (@p60) :args ((or @t29 @t42 (not @t43)))) % 0.27/0.55 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p53) :args (@t42 @t37 (@list @t28 @t43))) % 0.27/0.55 (step @p63 :rule cnf_and_pos :args (@t42 1)) % 0.27/0.55 (step @p64 :rule reordering :premises (@p63) :args ((or @t41 (not @t42)))) % 0.27/0.55 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t41 (@list false) (@list @t42))) % 0.27/0.55 (step @p66 :rule cnf_or_pos :args (@t44)) % 0.27/0.55 (step @p67 :rule reordering :premises (@p66) :args ((or @t40 @t34 @t45))) % 0.27/0.55 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p39) :args (@t45 (@list true true) (@list @t40 @t34))) % 0.27/0.55 (assume-push @p75 @t46) % 0.27/0.55 (step @p70 :rule instantiate :premises (@p12) :args (@t24)) % 0.27/0.55 (step-pop @p76 :rule scope :premises (@p70)) % 0.27/0.55 (step @p71 :rule process_scope :premises (@p76) :args (@t44)) % 0.27/0.55 (step @p73 :rule implies_elim :premises (@p71)) % 0.27/0.55 (step @p74 false :rule chain_m_resolution :premises (@p73 @p68 @p12) :args (false (@list true false) (@list @t44 @t46))) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------