%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN986+1.002 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:10:12 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN986+1.002 : TPTP v9.2.1. Released v4.0.0. % 0.14/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:50:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.r (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.zero $$unsorted) % 0.37/0.59 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.37/0.59 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "Z1" $$unsorted)) % 0.37/0.59 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t4 () (tptp.r @t1 (tptp.succ @t3) @t2)) % 0.37/0.59 (define @t5 () (@var "Z" $$unsorted)) % 0.37/0.59 (define @t6 () (tptp.r @t5 @t3 @t2)) % 0.37/0.59 (define @t7 () (=> @t6 @t4)) % 0.37/0.59 (define @t8 () (tptp.r @t1 @t3 @t5)) % 0.37/0.59 (define @t9 () (forall (@list @t1 @t3 @t5 @t2) (=> @t8 @t7))) % 0.37/0.59 (define @t10 () (@var "Z0" $$unsorted)) % 0.37/0.59 (define @t11 () (tptp.r tptp.zero @t2 @t10)) % 0.37/0.59 (define @t12 () (@var "Z2" $$unsorted)) % 0.37/0.59 (define @t13 () (tptp.r tptp.zero @t12 @t2)) % 0.37/0.59 (define @t14 () (tptp.r tptp.zero tptp.zero @t12)) % 0.37/0.59 (define @t15 () (and @t14 @t13 @t11)) % 0.37/0.59 (define @t16 () (@list @t12 @t2 @t10)) % 0.37/0.59 (define @t17 () (exists @t16 @t15)) % 0.37/0.59 (define @t18 () (not @t17)) % 0.37/0.59 (define @t19 () (not @t11)) % 0.37/0.59 (define @t20 () (not @t13)) % 0.37/0.59 (define @t21 () (not @t14)) % 0.37/0.59 (define @t22 () (or @t21 @t20 @t19)) % 0.37/0.59 (define @t23 () (forall @t16 @t22)) % 0.37/0.59 (define @t24 () (forall @t16 (not @t15))) % 0.37/0.59 (define @t25 () (not @t24)) % 0.37/0.59 (define @t26 () (not @t6)) % 0.37/0.59 (define @t27 () (not @t8)) % 0.37/0.59 (define @t28 () (tptp.succ tptp.zero)) % 0.37/0.59 (define @t29 () (tptp.succ @t28)) % 0.37/0.59 (define @t30 () (tptp.succ @t29)) % 0.37/0.59 (define @t31 () (tptp.succ @t30)) % 0.37/0.59 (define @t32 () (tptp.r @t29 @t28 @t31)) % 0.37/0.59 (define @t33 () (tptp.r @t30 tptp.zero @t31)) % 0.37/0.59 (define @t34 () (not @t33)) % 0.37/0.59 (define @t35 () (tptp.r @t29 tptp.zero @t30)) % 0.37/0.59 (define @t36 () (not @t35)) % 0.37/0.59 (define @t37 () (or @t36 @t34 @t32)) % 0.37/0.59 (define @t38 () (@list false false false)) % 0.37/0.59 (define @t39 () (tptp.r tptp.zero @t28 @t29)) % 0.37/0.59 (define @t40 () (tptp.r @t28 tptp.zero @t29)) % 0.37/0.59 (define @t41 () (not @t40)) % 0.37/0.59 (define @t42 () (tptp.r tptp.zero tptp.zero @t28)) % 0.37/0.59 (define @t43 () (not @t42)) % 0.37/0.59 (define @t44 () (or @t43 @t41 @t39)) % 0.37/0.59 (define @t45 () (tptp.r tptp.zero @t29 @t31)) % 0.37/0.59 (define @t46 () (not @t32)) % 0.37/0.59 (define @t47 () (not @t39)) % 0.37/0.59 (define @t48 () (or @t47 @t46 @t45)) % 0.37/0.59 (define @t49 () (not @t45)) % 0.37/0.59 (define @t50 () (or @t43 @t47 @t49)) % 0.37/0.59 (define @t51 () (not @t50)) % 0.37/0.59 (assume @p1 (forall (@list @t1) (tptp.r @t1 tptp.zero (tptp.succ @t1)))) % 0.37/0.59 (assume @p2 @t9) % 0.37/0.59 (assume @p3 @t18) % 0.37/0.59 (assume @p4 true) % 0.37/0.59 (step @p5 :rule bool-double-not-elim :args (@t23)) % 0.37/0.59 (step @p6 :rule aci_norm :args ((= (or @t21 (or @t20 @t19)) @t22))) % 0.37/0.59 (step @p7 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.37/0.59 (step @p8 :rule refl :args (@t21)) % 0.37/0.59 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or @t21 (not (and @t13 @t11))))) % 0.37/0.59 (step @p10 :rule bool-and-de-morgan :args (@t14 @t13 (and @t11))) % 0.37/0.59 (step @p11 :rule trans :premises (@p10 @p9)) % 0.37/0.59 (step @p12 :rule trans :premises (@p11 @p6)) % 0.37/0.59 (step @p13 :rule cong :premises (@p12) :args (@t24)) % 0.37/0.59 (step @p14 :rule cong :premises (@p13) :args (@t25)) % 0.37/0.59 (step @p15 :rule exists-elim :args ((= @t17 @t25))) % 0.37/0.59 (step @p16 :rule trans :premises (@p15 @p14)) % 0.37/0.59 (step @p17 :rule cong :premises (@p16) :args (@t18)) % 0.37/0.59 (step @p18 :rule trans :premises (@p17 @p5)) % 0.37/0.59 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 0.37/0.59 (step @p20 :rule aci_norm :args ((= (or @t27 (or @t26 @t4)) (or @t27 @t26 @t4)))) % 0.37/0.59 (step @p21 :rule bool-impl-elim :args (@t6 @t4)) % 0.37/0.59 (step @p22 :rule refl :args (@t27)) % 0.37/0.59 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t27 @t7))) % 0.37/0.59 (step @p24 :rule trans :premises (@p23 @p20)) % 0.37/0.59 (step @p25 :rule bool-impl-elim :args (@t8 @t7)) % 0.37/0.59 (step @p26 :rule trans :premises (@p25 @p24)) % 0.37/0.59 (step @p27 :rule cong :premises (@p26) :args (@t9)) % 0.37/0.59 (step @p28 :rule eq_resolve :premises (@p2 @p27)) % 0.37/0.59 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.zero @t28 @t29 @t31))) % 0.37/0.59 (step @p30 :rule instantiate :premises (@p28) :args ((@list @t29 tptp.zero @t30 @t31))) % 0.37/0.59 (step @p31 :rule instantiate :premises (@p1) :args ((@list @t30))) % 0.37/0.59 (step @p32 :rule instantiate :premises (@p1) :args ((@list @t29))) % 0.37/0.59 (step @p33 :rule cnf_or_pos :args (@t37)) % 0.37/0.59 (step @p34 :rule reordering :premises (@p33) :args ((or @t36 @t34 @t32 (not @t37)))) % 0.37/0.59 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31 @p30) :args (@t32 @t38 (@list @t35 @t33 @t37))) % 0.37/0.60 (step @p36 :rule instantiate :premises (@p28) :args ((@list tptp.zero tptp.zero @t28 @t29))) % 0.37/0.60 (step @p37 :rule instantiate :premises (@p1) :args ((@list @t28))) % 0.37/0.60 (step @p38 :rule instantiate :premises (@p1) :args ((@list tptp.zero))) % 0.37/0.60 (step @p39 :rule cnf_or_pos :args (@t44)) % 0.37/0.60 (step @p40 :rule reordering :premises (@p39) :args ((or @t43 @t41 @t39 (not @t44)))) % 0.37/0.60 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37 @p36) :args (@t39 @t38 (@list @t42 @t40 @t44))) % 0.37/0.60 (step @p42 :rule cnf_or_pos :args (@t48)) % 0.37/0.60 (step @p43 :rule reordering :premises (@p42) :args ((or @t47 @t46 @t45 (not @t48)))) % 0.37/0.60 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p35 @p29) :args (@t45 @t38 (@list @t39 @t32 @t48))) % 0.37/0.60 (step @p45 :rule cnf_or_pos :args (@t50)) % 0.37/0.60 (step @p46 :rule reordering :premises (@p45) :args ((or @t43 @t47 @t49 @t51))) % 0.37/0.60 (step @p47 :rule chain_m_resolution :premises (@p46 @p38 @p41 @p44) :args (@t51 @t38 (@list @t42 @t39 @t45))) % 0.37/0.60 (assume-push @p54 @t23) % 0.37/0.60 (step @p49 :rule instantiate :premises (@p19) :args ((@list @t28 @t29 @t31))) % 0.37/0.60 (step-pop @p55 :rule scope :premises (@p49)) % 0.37/0.60 (step @p50 :rule process_scope :premises (@p55) :args (@t50)) % 0.37/0.60 (step @p52 :rule implies_elim :premises (@p50)) % 0.37/0.60 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p19) :args (false (@list true false) (@list @t50 @t23))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------