%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM002_2 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:10:21 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM002_2 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n003.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 20:27:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.register 0) % 0.37/0.56 (declare-sort tptp.number 0) % 0.37/0.56 (declare-sort tptp.statement 0) % 0.37/0.56 (declare-sort tptp.label 0) % 0.37/0.56 (declare-sort tptp.boolean 0) % 0.37/0.56 (declare-sort tptp.state 0) % 0.37/0.56 (declare-const tptp.p8 tptp.state) % 0.37/0.56 (declare-const tptp.plus (-> tptp.register tptp.number tptp.number)) % 0.37/0.56 (declare-const tptp.p7 tptp.state) % 0.37/0.56 (declare-const tptp.times (-> tptp.number tptp.register tptp.number)) % 0.37/0.56 (declare-const tptp.n2 tptp.number) % 0.37/0.56 (declare-const tptp.p5 tptp.state) % 0.37/0.56 (declare-const tptp.out tptp.label) % 0.37/0.56 (declare-const tptp.equal_function (-> tptp.register tptp.number tptp.boolean)) % 0.37/0.56 (declare-const tptp.n tptp.number) % 0.37/0.56 (declare-const tptp.loop tptp.label) % 0.37/0.56 (declare-const tptp.p3 tptp.state) % 0.37/0.56 (declare-const tptp.p4 tptp.state) % 0.37/0.56 (declare-const tptp.labels (-> tptp.label tptp.state Bool)) % 0.37/0.56 (declare-const tptp.assign (-> tptp.register tptp.number tptp.statement)) % 0.37/0.56 (declare-const tptp.goto (-> tptp.label tptp.statement)) % 0.37/0.56 (declare-const tptp.p6 tptp.state) % 0.37/0.56 (declare-const tptp.has (-> tptp.state tptp.statement Bool)) % 0.37/0.56 (declare-const tptp.ifthen (-> tptp.boolean tptp.state tptp.statement)) % 0.37/0.56 (declare-const tptp.n1 tptp.number) % 0.37/0.56 (declare-const tptp.n0 tptp.number) % 0.37/0.56 (declare-const tptp.register_j tptp.register) % 0.37/0.56 (declare-const tptp.follows (-> tptp.state tptp.state Bool)) % 0.37/0.56 (declare-const tptp.p1 tptp.state) % 0.37/0.56 (declare-const tptp.register_k tptp.register) % 0.37/0.56 (declare-const tptp.fails (-> tptp.state tptp.state Bool)) % 0.37/0.56 (declare-const tptp.p2 tptp.state) % 0.37/0.56 (define @t1 () (@var "Start_state" tptp.state)) % 0.37/0.56 (define @t2 () (@var "Goal_state" tptp.state)) % 0.37/0.56 (define @t3 () (tptp.follows @t2 @t1)) % 0.37/0.56 (define @t4 () (tptp.fails @t2 @t1)) % 0.37/0.56 (define @t5 () (forall (@list @t1 @t2) (not (and @t4 @t3)))) % 0.37/0.56 (define @t6 () (@var "Intermediate_state" tptp.state)) % 0.37/0.56 (define @t7 () (tptp.fails @t6 @t1)) % 0.37/0.56 (define @t8 () (tptp.fails @t2 @t6)) % 0.37/0.56 (define @t9 () (or @t8 @t7)) % 0.37/0.56 (define @t10 () (forall (@list @t6 @t1 @t2) (=> @t4 @t9))) % 0.37/0.56 (define @t11 () (@var "Label" tptp.label)) % 0.37/0.56 (define @t12 () (tptp.labels @t11 @t2)) % 0.37/0.56 (define @t13 () (tptp.has @t1 (tptp.goto @t11))) % 0.37/0.56 (define @t14 () (@list @t11 @t1 @t2)) % 0.37/0.56 (define @t15 () (forall @t14 (not (and @t4 @t13 @t12)))) % 0.37/0.56 (define @t16 () (@var "Condition" tptp.boolean)) % 0.37/0.56 (define @t17 () (tptp.labels tptp.loop tptp.p3)) % 0.37/0.56 (define @t18 () (tptp.follows tptp.p6 tptp.p3)) % 0.37/0.56 (define @t19 () (tptp.follows tptp.p7 tptp.p6)) % 0.37/0.56 (define @t20 () (tptp.follows tptp.p8 tptp.p7)) % 0.37/0.56 (define @t21 () (tptp.has tptp.p8 (tptp.goto tptp.loop))) % 0.37/0.56 (define @t22 () (tptp.fails tptp.p3 tptp.p3)) % 0.37/0.56 (define @t23 () (not @t22)) % 0.37/0.56 (define @t24 () (not @t12)) % 0.37/0.56 (define @t25 () (not @t13)) % 0.37/0.56 (define @t26 () (not @t4)) % 0.37/0.56 (define @t27 () (or @t26 @t25 @t24)) % 0.37/0.56 (define @t28 () (not @t18)) % 0.37/0.56 (define @t29 () (tptp.fails tptp.p6 tptp.p3)) % 0.37/0.56 (define @t30 () (not @t29)) % 0.37/0.56 (define @t31 () (or @t30 @t28)) % 0.37/0.56 (define @t32 () (@list false false)) % 0.37/0.56 (define @t33 () (tptp.fails tptp.p3 tptp.p6)) % 0.37/0.56 (define @t34 () (or @t23 @t33 @t29)) % 0.37/0.56 (define @t35 () (not @t19)) % 0.37/0.56 (define @t36 () (tptp.fails tptp.p7 tptp.p6)) % 0.37/0.56 (define @t37 () (not @t36)) % 0.37/0.56 (define @t38 () (or @t37 @t35)) % 0.37/0.56 (define @t39 () (tptp.fails tptp.p3 tptp.p7)) % 0.37/0.56 (define @t40 () (not @t33)) % 0.37/0.56 (define @t41 () (or @t40 @t39 @t36)) % 0.37/0.56 (define @t42 () (@list true false false)) % 0.37/0.56 (define @t43 () (not @t20)) % 0.37/0.56 (define @t44 () (tptp.fails tptp.p8 tptp.p7)) % 0.37/0.56 (define @t45 () (not @t44)) % 0.37/0.56 (define @t46 () (or @t45 @t43)) % 0.37/0.56 (define @t47 () (tptp.fails tptp.p3 tptp.p8)) % 0.37/0.56 (define @t48 () (not @t39)) % 0.37/0.56 (define @t49 () (or @t48 @t47 @t44)) % 0.37/0.56 (define @t50 () (not @t17)) % 0.37/0.56 (define @t51 () (not @t21)) % 0.37/0.56 (define @t52 () (not @t47)) % 0.37/0.56 (define @t53 () (or @t52 @t51 @t50)) % 0.37/0.56 (define @t54 () (not @t53)) % 0.37/0.56 (define @t55 () (forall @t14 @t27)) % 0.37/0.56 (assume @p1 @t5) % 0.37/0.56 (assume @p2 @t10) % 0.37/0.56 (assume @p3 @t15) % 0.37/0.56 (assume @p4 (forall (@list @t16 @t1 @t2) (not (and @t4 (tptp.has @t1 (tptp.ifthen @t16 @t2)))))) % 0.37/0.56 (assume @p5 (tptp.has tptp.p1 (tptp.assign tptp.register_j tptp.n0))) % 0.37/0.56 (assume @p6 (tptp.follows tptp.p2 tptp.p1)) % 0.37/0.56 (assume @p7 (tptp.has tptp.p2 (tptp.assign tptp.register_k tptp.n1))) % 0.37/0.56 (assume @p8 @t17) % 0.37/0.56 (assume @p9 (tptp.follows tptp.p3 tptp.p2)) % 0.37/0.56 (assume @p10 (tptp.has tptp.p3 (tptp.ifthen (tptp.equal_function tptp.register_j tptp.n) tptp.p4))) % 0.37/0.56 (assume @p11 (tptp.has tptp.p4 (tptp.goto tptp.out))) % 0.37/0.56 (assume @p12 (tptp.follows tptp.p5 tptp.p4)) % 0.37/0.56 (assume @p13 @t18) % 0.37/0.56 (assume @p14 (tptp.has tptp.p6 (tptp.assign tptp.register_k (tptp.times tptp.n2 tptp.register_k)))) % 0.37/0.56 (assume @p15 @t19) % 0.37/0.56 (assume @p16 (tptp.has tptp.p7 (tptp.assign tptp.register_j (tptp.plus tptp.register_j tptp.n1)))) % 0.37/0.56 (assume @p17 @t20) % 0.37/0.56 (assume @p18 @t21) % 0.37/0.56 (assume @p19 (not @t23)) % 0.37/0.56 (assume @p20 true) % 0.37/0.56 (step @p21 :rule aci_norm :args ((= (or @t26 (or @t25 @t24)) @t27))) % 0.37/0.56 (step @p22 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.37/0.56 (step @p23 :rule refl :args (@t26)) % 0.37/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t26 (not (and @t13 @t12))))) % 0.37/0.56 (step @p25 :rule bool-and-de-morgan :args (@t4 @t13 (and @t12))) % 0.37/0.56 (step @p26 :rule trans :premises (@p25 @p24)) % 0.37/0.56 (step @p27 :rule trans :premises (@p26 @p21)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args (@t15)) % 0.37/0.56 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 0.37/0.56 (step @p30 :rule aci_norm :args ((= (or @t26 @t9) (or @t26 @t8 @t7)))) % 0.37/0.56 (step @p31 :rule bool-impl-elim :args (@t4 @t9)) % 0.37/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.56 (step @p33 :rule cong :premises (@p32) :args (@t10)) % 0.37/0.56 (step @p34 :rule eq_resolve :premises (@p2 @p33)) % 0.37/0.56 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.p8 tptp.p7 tptp.p3))) % 0.37/0.56 (step @p36 :rule instantiate :premises (@p34) :args ((@list tptp.p7 tptp.p6 tptp.p3))) % 0.37/0.56 (step @p37 :rule instantiate :premises (@p34) :args ((@list tptp.p6 tptp.p3 tptp.p3))) % 0.37/0.56 (step @p38 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38) :args (@t5)) % 0.37/0.56 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.37/0.56 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.p3 tptp.p6))) % 0.37/0.56 (step @p42 :rule cnf_or_pos :args (@t31)) % 0.37/0.56 (step @p43 :rule reordering :premises (@p42) :args ((or @t28 @t30 (not @t31)))) % 0.37/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p13 @p41) :args (@t30 @t32 (@list @t18 @t31))) % 0.37/0.56 (step @p45 :rule bool-double-not-elim :args (@t22)) % 0.37/0.56 (step @p46 :rule eq_resolve :premises (@p19 @p45)) % 0.37/0.56 (step @p47 :rule cnf_or_pos :args (@t34)) % 0.37/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t23 @t29 @t33 (not @t34)))) % 0.37/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p44 @p37) :args (@t33 (@list false true false) (@list @t22 @t29 @t34))) % 0.37/0.56 (step @p50 :rule instantiate :premises (@p40) :args ((@list tptp.p6 tptp.p7))) % 0.37/0.56 (step @p51 :rule cnf_or_pos :args (@t38)) % 0.37/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t35 @t37 (not @t38)))) % 0.37/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p15 @p50) :args (@t37 @t32 (@list @t19 @t38))) % 0.37/0.56 (step @p54 :rule cnf_or_pos :args (@t41)) % 0.37/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or @t36 @t40 @t39 (not @t41)))) % 0.37/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p49 @p36) :args (@t39 @t42 (@list @t36 @t33 @t41))) % 0.37/0.56 (step @p57 :rule instantiate :premises (@p40) :args ((@list tptp.p7 tptp.p8))) % 0.37/0.56 (step @p58 :rule cnf_or_pos :args (@t46)) % 0.37/0.56 (step @p59 :rule reordering :premises (@p58) :args ((or @t43 @t45 (not @t46)))) % 0.37/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p17 @p57) :args (@t45 @t32 (@list @t20 @t46))) % 0.37/0.56 (step @p61 :rule cnf_or_pos :args (@t49)) % 0.37/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t44 @t48 @t47 (not @t49)))) % 0.37/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p56 @p35) :args (@t47 @t42 (@list @t44 @t39 @t49))) % 0.37/0.56 (step @p64 :rule cnf_or_pos :args (@t53)) % 0.37/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t50 @t51 @t52 @t54))) % 0.37/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p8 @p18 @p63) :args (@t54 (@list false false false) (@list @t17 @t21 @t47))) % 0.37/0.56 (assume-push @p73 @t55) % 0.37/0.56 (step @p68 :rule instantiate :premises (@p29) :args ((@list tptp.loop tptp.p8 tptp.p3))) % 0.37/0.56 (step-pop @p74 :rule scope :premises (@p68)) % 0.37/0.56 (step @p69 :rule process_scope :premises (@p74) :args (@t53)) % 0.37/0.56 (step @p71 :rule implies_elim :premises (@p69)) % 0.37/0.56 (step @p72 false :rule chain_m_resolution :premises (@p71 @p66 @p29) :args (false (@list true false) (@list @t53 @t55))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------