%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN986+1.001 : 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 : n021.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 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN986+1.001 : TPTP v9.2.1. Released v4.0.0. % 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 : n021.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 23:51:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.r (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.zero $$unsorted) % 0.38/0.56 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Z1" $$unsorted)) % 0.38/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t4 () (tptp.r @t1 (tptp.succ @t3) @t2)) % 0.38/0.56 (define @t5 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t6 () (tptp.r @t5 @t3 @t2)) % 0.38/0.56 (define @t7 () (=> @t6 @t4)) % 0.38/0.56 (define @t8 () (tptp.r @t1 @t3 @t5)) % 0.38/0.56 (define @t9 () (forall (@list @t1 @t3 @t5 @t2) (=> @t8 @t7))) % 0.38/0.56 (define @t10 () (@var "Z0" $$unsorted)) % 0.38/0.56 (define @t11 () (tptp.r tptp.zero @t2 @t10)) % 0.38/0.56 (define @t12 () (tptp.r tptp.zero tptp.zero @t2)) % 0.38/0.56 (define @t13 () (and @t12 @t11)) % 0.38/0.56 (define @t14 () (@list @t2 @t10)) % 0.38/0.56 (define @t15 () (exists @t14 @t13)) % 0.38/0.56 (define @t16 () (not @t15)) % 0.38/0.56 (define @t17 () (forall @t14 (or (not @t12) (not @t11)))) % 0.38/0.56 (define @t18 () (forall @t14 (not @t13))) % 0.38/0.56 (define @t19 () (not @t18)) % 0.38/0.56 (define @t20 () (not @t6)) % 0.38/0.56 (define @t21 () (not @t8)) % 0.38/0.56 (define @t22 () (tptp.succ tptp.zero)) % 0.38/0.56 (define @t23 () (tptp.succ @t22)) % 0.38/0.56 (define @t24 () (tptp.r tptp.zero @t22 @t23)) % 0.38/0.56 (define @t25 () (tptp.r @t22 tptp.zero @t23)) % 0.38/0.56 (define @t26 () (not @t25)) % 0.38/0.56 (define @t27 () (tptp.r tptp.zero tptp.zero @t22)) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (or @t28 @t26 @t24)) % 0.38/0.56 (define @t30 () (not @t24)) % 0.38/0.56 (define @t31 () (or @t28 @t30)) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (assume @p1 (forall (@list @t1) (tptp.r @t1 tptp.zero (tptp.succ @t1)))) % 0.38/0.56 (assume @p2 @t9) % 0.38/0.56 (assume @p3 @t16) % 0.38/0.56 (assume @p4 true) % 0.38/0.56 (step @p5 :rule bool-double-not-elim :args (@t17)) % 0.38/0.56 (step @p6 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.38/0.56 (step @p7 :rule cong :premises (@p6) :args (@t18)) % 0.38/0.56 (step @p8 :rule cong :premises (@p7) :args (@t19)) % 0.38/0.56 (step @p9 :rule exists-elim :args ((= @t15 @t19))) % 0.38/0.56 (step @p10 :rule trans :premises (@p9 @p8)) % 0.38/0.56 (step @p11 :rule cong :premises (@p10) :args (@t16)) % 0.38/0.56 (step @p12 :rule trans :premises (@p11 @p5)) % 0.38/0.56 (step @p13 :rule eq_resolve :premises (@p3 @p12)) % 0.38/0.56 (step @p14 :rule aci_norm :args ((= (or @t21 (or @t20 @t4)) (or @t21 @t20 @t4)))) % 0.38/0.56 (step @p15 :rule bool-impl-elim :args (@t6 @t4)) % 0.38/0.56 (step @p16 :rule refl :args (@t21)) % 0.38/0.56 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t21 @t7))) % 0.38/0.56 (step @p18 :rule trans :premises (@p17 @p14)) % 0.38/0.56 (step @p19 :rule bool-impl-elim :args (@t8 @t7)) % 0.38/0.56 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.56 (step @p21 :rule cong :premises (@p20) :args (@t9)) % 0.38/0.56 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.38/0.56 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.zero tptp.zero @t22 @t23))) % 0.38/0.56 (step @p24 :rule instantiate :premises (@p1) :args ((@list @t22))) % 0.38/0.56 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.zero))) % 0.38/0.56 (step @p26 :rule cnf_or_pos :args (@t29)) % 0.38/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t28 @t26 @t24 (not @t29)))) % 0.38/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p24 @p23) :args (@t24 (@list false false false) (@list @t27 @t25 @t29))) % 0.38/0.56 (step @p29 :rule cnf_or_pos :args (@t31)) % 0.38/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t28 @t30 @t32))) % 0.38/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p25 @p28) :args (@t32 (@list false false) (@list @t27 @t24))) % 0.38/0.56 (assume-push @p38 @t17) % 0.38/0.56 (step @p33 :rule instantiate :premises (@p13) :args ((@list @t22 @t23))) % 0.38/0.56 (step-pop @p39 :rule scope :premises (@p33)) % 0.38/0.56 (step @p34 :rule process_scope :premises (@p39) :args (@t31)) % 0.38/0.56 (step @p36 :rule implies_elim :premises (@p34)) % 0.38/0.56 (step @p37 false :rule chain_m_resolution :premises (@p36 @p31 @p13) :args (false (@list true false) (@list @t31 @t17))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------