%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN062+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:07:57 AM UTC 2026 % Result : Theorem 0.33s 0.57s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN062+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:20:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Theorem % 0.33/0.57 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (declare-sort $$unsorted 0) % 0.33/0.57 (declare-const tptp.big_j (-> $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.big_k (-> $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.big_h (-> $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.big_i (-> $$unsorted Bool)) % 0.33/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.33/0.57 (define @t2 () (tptp.big_i @t1)) % 0.33/0.57 (define @t3 () (tptp.big_h @t1)) % 0.33/0.57 (define @t4 () (tptp.big_g @t1)) % 0.33/0.57 (define @t5 () (or @t4 @t3)) % 0.33/0.57 (define @t6 () (tptp.big_f @t1)) % 0.33/0.57 (define @t7 () (and @t6 @t5)) % 0.33/0.57 (define @t8 () (@list @t1)) % 0.33/0.57 (define @t9 () (forall @t8 (=> @t7 @t2))) % 0.33/0.57 (define @t10 () (tptp.big_j @t1)) % 0.33/0.57 (define @t11 () (and @t2 @t3)) % 0.33/0.57 (define @t12 () (forall @t8 (=> @t11 @t10))) % 0.33/0.57 (define @t13 () (tptp.big_k @t1)) % 0.33/0.57 (define @t14 () (forall @t8 (=> @t13 @t3))) % 0.33/0.57 (define @t15 () (and @t6 @t13)) % 0.33/0.57 (define @t16 () (forall @t8 (=> @t15 @t10))) % 0.33/0.57 (define @t17 () (not @t16)) % 0.33/0.57 (define @t18 () (not @t13)) % 0.33/0.57 (define @t19 () (not @t6)) % 0.33/0.57 (define @t20 () (or @t19 @t18 @t10)) % 0.33/0.57 (define @t21 () (@quantifiers_skolemize (forall @t8 @t20) 0)) % 0.33/0.57 (define @t22 () (tptp.big_f @t21)) % 0.33/0.57 (define @t23 () (tptp.big_j @t21)) % 0.33/0.57 (define @t24 () (tptp.big_k @t21)) % 0.33/0.57 (define @t25 () (not @t24)) % 0.33/0.57 (define @t26 () (not @t22)) % 0.33/0.57 (define @t27 () (or @t26 @t25 @t23)) % 0.33/0.57 (define @t28 () (@list true)) % 0.33/0.57 (define @t29 () (@list @t27)) % 0.33/0.57 (define @t30 () (not @t3)) % 0.33/0.57 (define @t31 () (and (not @t4) @t30)) % 0.33/0.57 (define @t32 () (@list @t21)) % 0.33/0.57 (define @t33 () (tptp.big_h @t21)) % 0.33/0.57 (define @t34 () (or @t25 @t33)) % 0.33/0.57 (define @t35 () (not @t33)) % 0.33/0.57 (define @t36 () (and (not (tptp.big_g @t21)) @t35)) % 0.33/0.57 (define @t37 () (not @t36)) % 0.33/0.57 (define @t38 () (not @t2)) % 0.33/0.57 (define @t39 () (tptp.big_i @t21)) % 0.33/0.57 (define @t40 () (not @t39)) % 0.33/0.57 (define @t41 () (or @t40 @t35 @t23)) % 0.33/0.57 (define @t42 () (or @t26 @t36 @t39)) % 0.33/0.57 (assume @p1 @t9) % 0.33/0.57 (assume @p2 @t12) % 0.33/0.57 (assume @p3 @t14) % 0.33/0.57 (assume @p4 @t17) % 0.33/0.57 (assume @p5 true) % 0.33/0.57 (step @p6 :rule aci_norm :args ((= (or (or @t19 @t18) @t10) @t20))) % 0.33/0.57 (step @p7 :rule refl :args (@t10)) % 0.33/0.57 (step @p8 :rule bool-and-de-morgan :args (@t6 @t13 true)) % 0.33/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t15) @t10))) % 0.33/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.33/0.57 (step @p11 :rule bool-impl-elim :args (@t15 @t10)) % 0.33/0.57 (step @p12 :rule trans :premises (@p11 @p10)) % 0.33/0.57 (step @p13 :rule cong :premises (@p12) :args (@t16)) % 0.33/0.57 (step @p14 :rule cong :premises (@p13) :args (@t17)) % 0.33/0.57 (step @p15 :rule eq_resolve :premises (@p4 @p14)) % 0.33/0.57 (step @p16 :rule skolemize :premises (@p15)) % 0.33/0.57 (step @p17 :rule bool-double-not-elim :args (@t22)) % 0.33/0.57 (step @p18 :rule refl :args (@t27)) % 0.33/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t27 (not @t26)))) % 0.33/0.57 (step @p20 :rule cnf_or_neg :args (@t27 0)) % 0.33/0.57 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.33/0.57 (step @p22 :rule reordering :premises (@p21) :args ((or @t22 @t27))) % 0.33/0.57 (step @p23 :rule chain_m_resolution :premises (@p22 @p16) :args (@t22 @t28 @t29)) % 0.33/0.57 (step @p24 :rule aci_norm :args ((= (or (or @t19 @t31) @t2) (or @t19 @t31 @t2)))) % 0.33/0.57 (step @p25 :rule refl :args (@t2)) % 0.33/0.57 (step @p26 :rule bool-or-de-morgan :args (@t4 @t3 false)) % 0.33/0.57 (step @p27 :rule refl :args (@t19)) % 0.33/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t19 (not @t5)))) % 0.33/0.57 (step @p29 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.33/0.57 (step @p30 :rule trans :premises (@p29 @p28)) % 0.33/0.57 (step @p31 :rule nary_cong :premises (@p30 @p25) :args ((or (not @t7) @t2))) % 0.33/0.57 (step @p32 :rule trans :premises (@p31 @p24)) % 0.33/0.57 (step @p33 :rule bool-impl-elim :args (@t7 @t2)) % 0.33/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.33/0.57 (step @p35 :rule cong :premises (@p34) :args (@t9)) % 0.33/0.57 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.33/0.57 (step @p37 :rule instantiate :premises (@p36) :args (@t32)) % 0.33/0.57 (step @p38 :rule bool-impl-elim :args (@t13 @t3)) % 0.33/0.57 (step @p39 :rule cong :premises (@p38) :args (@t14)) % 0.33/0.57 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 0.33/0.57 (step @p41 :rule instantiate :premises (@p40) :args (@t32)) % 0.33/0.57 (step @p42 :rule bool-double-not-elim :args (@t24)) % 0.33/0.57 (step @p43 :rule nary_cong :premises (@p18 @p42) :args ((or @t27 (not @t25)))) % 0.33/0.57 (step @p44 :rule cnf_or_neg :args (@t27 1)) % 0.33/0.57 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.33/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t24 @t27))) % 0.33/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p16) :args (@t24 @t28 @t29)) % 0.33/0.57 (step @p48 :rule cnf_or_pos :args (@t34)) % 0.33/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t25 @t33 (not @t34)))) % 0.33/0.57 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p41) :args (@t33 (@list false false) (@list @t24 @t34))) % 0.33/0.57 (step @p51 :rule cnf_and_pos :args (@t36 1)) % 0.33/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t35 @t37))) % 0.33/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p50) :args (@t37 (@list false) (@list @t33))) % 0.33/0.57 (step @p54 :rule aci_norm :args ((= (or (or @t38 @t30) @t10) (or @t38 @t30 @t10)))) % 0.33/0.57 (step @p55 :rule bool-and-de-morgan :args (@t2 @t3 true)) % 0.33/0.57 (step @p56 :rule nary_cong :premises (@p55 @p7) :args ((or (not @t11) @t10))) % 0.33/0.57 (step @p57 :rule trans :premises (@p56 @p54)) % 0.33/0.57 (step @p58 :rule bool-impl-elim :args (@t11 @t10)) % 0.33/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.33/0.57 (step @p60 :rule cong :premises (@p59) :args (@t12)) % 0.33/0.57 (step @p61 :rule eq_resolve :premises (@p2 @p60)) % 0.33/0.57 (step @p62 :rule instantiate :premises (@p61) :args (@t32)) % 0.33/0.57 (step @p63 :rule cnf_or_neg :args (@t27 2)) % 0.33/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p16) :args ((not @t23) @t28 @t29)) % 0.33/0.57 (step @p65 :rule cnf_or_pos :args (@t41)) % 0.33/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t23 @t35 @t40 (not @t41)))) % 0.33/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p50 @p62) :args (@t40 (@list true false false) (@list @t23 @t33 @t41))) % 0.33/0.57 (step @p68 :rule cnf_or_pos :args (@t42)) % 0.33/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t26 @t36 @t39 (not @t42)))) % 0.33/0.57 (step @p70 false :rule chain_m_resolution :premises (@p69 @p67 @p53 @p37 @p23) :args (false (@list true true false false) (@list @t39 @t36 @t42 @t22))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------