%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM002_1 : 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 : n005.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 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM002_1 : 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 % 0.18/0.34 % Computer : n005.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 20:27:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort tptp.register 0) % 0.39/0.57 (declare-sort tptp.number 0) % 0.39/0.57 (declare-sort tptp.statement 0) % 0.39/0.57 (declare-sort tptp.label 0) % 0.39/0.57 (declare-sort tptp.boolean 0) % 0.39/0.57 (declare-sort tptp.state 0) % 0.39/0.57 (declare-const tptp.p8 tptp.state) % 0.39/0.57 (declare-const tptp.plus (-> tptp.register tptp.number tptp.number)) % 0.39/0.57 (declare-const tptp.p7 tptp.state) % 0.39/0.57 (declare-const tptp.times (-> tptp.number tptp.register tptp.number)) % 0.39/0.57 (declare-const tptp.n2 tptp.number) % 0.39/0.57 (declare-const tptp.p5 tptp.state) % 0.39/0.57 (declare-const tptp.out tptp.label) % 0.39/0.57 (declare-const tptp.equal_function (-> tptp.register tptp.number tptp.boolean)) % 0.39/0.57 (declare-const tptp.n tptp.number) % 0.39/0.57 (declare-const tptp.loop tptp.label) % 0.39/0.57 (declare-const tptp.p3 tptp.state) % 0.39/0.57 (declare-const tptp.p4 tptp.state) % 0.39/0.57 (declare-const tptp.labels (-> tptp.label tptp.state Bool)) % 0.39/0.57 (declare-const tptp.assign (-> tptp.register tptp.number tptp.statement)) % 0.39/0.57 (declare-const tptp.goto (-> tptp.label tptp.statement)) % 0.39/0.57 (declare-const tptp.p6 tptp.state) % 0.39/0.57 (declare-const tptp.has (-> tptp.state tptp.statement Bool)) % 0.39/0.57 (declare-const tptp.ifthen (-> tptp.boolean tptp.state tptp.statement)) % 0.39/0.57 (declare-const tptp.n1 tptp.number) % 0.39/0.57 (declare-const tptp.n0 tptp.number) % 0.39/0.57 (declare-const tptp.register_j tptp.register) % 0.39/0.57 (declare-const tptp.follows (-> tptp.state tptp.state Bool)) % 0.39/0.57 (declare-const tptp.p1 tptp.state) % 0.39/0.57 (declare-const tptp.register_k tptp.register) % 0.39/0.57 (declare-const tptp.succeeds (-> tptp.state tptp.state Bool)) % 0.39/0.57 (declare-const tptp.p2 tptp.state) % 0.39/0.57 (define @t1 () (@var "Start_state" tptp.state)) % 0.39/0.57 (define @t2 () (@var "Goal_state" tptp.state)) % 0.39/0.57 (define @t3 () (tptp.succeeds @t2 @t1)) % 0.39/0.57 (define @t4 () (tptp.follows @t2 @t1)) % 0.39/0.57 (define @t5 () (forall (@list @t1 @t2) (=> @t4 @t3))) % 0.39/0.57 (define @t6 () (@var "Intermediate_state" tptp.state)) % 0.39/0.57 (define @t7 () (tptp.succeeds @t6 @t1)) % 0.39/0.57 (define @t8 () (tptp.succeeds @t2 @t6)) % 0.39/0.57 (define @t9 () (and @t8 @t7)) % 0.39/0.57 (define @t10 () (@list @t1 @t6 @t2)) % 0.39/0.57 (define @t11 () (forall @t10 (=> @t9 @t3))) % 0.39/0.57 (define @t12 () (@var "Label" tptp.label)) % 0.39/0.57 (define @t13 () (tptp.labels @t12 @t2)) % 0.39/0.57 (define @t14 () (tptp.has @t1 (tptp.goto @t12))) % 0.39/0.57 (define @t15 () (and @t14 @t13)) % 0.39/0.57 (define @t16 () (forall (@list @t2 @t12 @t1) (=> @t15 @t3))) % 0.39/0.57 (define @t17 () (@var "Condition" tptp.boolean)) % 0.39/0.57 (define @t18 () (tptp.labels tptp.loop tptp.p3)) % 0.39/0.57 (define @t19 () (tptp.follows tptp.p6 tptp.p3)) % 0.39/0.57 (define @t20 () (tptp.follows tptp.p7 tptp.p6)) % 0.39/0.57 (define @t21 () (tptp.follows tptp.p8 tptp.p7)) % 0.39/0.57 (define @t22 () (tptp.has tptp.p8 (tptp.goto tptp.loop))) % 0.39/0.57 (define @t23 () (tptp.succeeds tptp.p3 tptp.p3)) % 0.39/0.57 (define @t24 () (not @t7)) % 0.39/0.57 (define @t25 () (not @t8)) % 0.39/0.57 (define @t26 () (or @t25 @t24 @t3)) % 0.39/0.57 (define @t27 () (tptp.succeeds tptp.p7 tptp.p6)) % 0.39/0.57 (define @t28 () (not @t20)) % 0.39/0.57 (define @t29 () (or @t28 @t27)) % 0.39/0.57 (define @t30 () (@list false false)) % 0.39/0.57 (define @t31 () (tptp.succeeds tptp.p6 tptp.p3)) % 0.39/0.57 (define @t32 () (not @t19)) % 0.39/0.57 (define @t33 () (or @t32 @t31)) % 0.39/0.57 (define @t34 () (tptp.succeeds tptp.p7 tptp.p3)) % 0.39/0.57 (define @t35 () (not @t31)) % 0.39/0.57 (define @t36 () (not @t27)) % 0.39/0.57 (define @t37 () (or @t36 @t35 @t34)) % 0.39/0.57 (define @t38 () (@list false false false)) % 0.39/0.57 (define @t39 () (tptp.succeeds tptp.p8 tptp.p7)) % 0.39/0.57 (define @t40 () (not @t21)) % 0.39/0.57 (define @t41 () (or @t40 @t39)) % 0.39/0.57 (define @t42 () (tptp.succeeds tptp.p8 tptp.p3)) % 0.39/0.57 (define @t43 () (not @t34)) % 0.39/0.57 (define @t44 () (not @t39)) % 0.39/0.57 (define @t45 () (or @t44 @t43 @t42)) % 0.39/0.57 (define @t46 () (not @t13)) % 0.39/0.57 (define @t47 () (not @t14)) % 0.39/0.57 (define @t48 () (tptp.succeeds tptp.p3 tptp.p8)) % 0.39/0.57 (define @t49 () (not @t18)) % 0.39/0.57 (define @t50 () (not @t22)) % 0.39/0.57 (define @t51 () (or @t50 @t49 @t48)) % 0.39/0.57 (define @t52 () (not @t42)) % 0.39/0.57 (define @t53 () (not @t48)) % 0.39/0.57 (define @t54 () (or @t53 @t52 @t23)) % 0.39/0.57 (define @t55 () (not @t54)) % 0.39/0.57 (define @t56 () (forall @t10 @t26)) % 0.39/0.57 (assume @p1 @t5) % 0.39/0.57 (assume @p2 @t11) % 0.39/0.57 (assume @p3 @t16) % 0.39/0.57 (assume @p4 (forall (@list @t2 @t17 @t1) (=> (tptp.has @t1 (tptp.ifthen @t17 @t2)) @t3))) % 0.39/0.57 (assume @p5 (tptp.has tptp.p1 (tptp.assign tptp.register_j tptp.n0))) % 0.39/0.57 (assume @p6 (tptp.follows tptp.p2 tptp.p1)) % 0.39/0.57 (assume @p7 (tptp.has tptp.p2 (tptp.assign tptp.register_k tptp.n1))) % 0.39/0.57 (assume @p8 @t18) % 0.39/0.57 (assume @p9 (tptp.follows tptp.p3 tptp.p2)) % 0.39/0.57 (assume @p10 (tptp.has tptp.p3 (tptp.ifthen (tptp.equal_function tptp.register_j tptp.n) tptp.p4))) % 0.39/0.57 (assume @p11 (tptp.has tptp.p4 (tptp.goto tptp.out))) % 0.39/0.57 (assume @p12 (tptp.follows tptp.p5 tptp.p4)) % 0.39/0.57 (assume @p13 @t19) % 0.39/0.57 (assume @p14 (tptp.has tptp.p6 (tptp.assign tptp.register_k (tptp.times tptp.n2 tptp.register_k)))) % 0.39/0.57 (assume @p15 @t20) % 0.39/0.57 (assume @p16 (tptp.has tptp.p7 (tptp.assign tptp.register_j (tptp.plus tptp.register_j tptp.n1)))) % 0.39/0.57 (assume @p17 @t21) % 0.39/0.57 (assume @p18 @t22) % 0.39/0.57 (assume @p19 (not @t23)) % 0.39/0.57 (assume @p20 true) % 0.39/0.57 (step @p21 :rule aci_norm :args ((= (or (or @t25 @t24) @t3) @t26))) % 0.39/0.57 (step @p22 :rule refl :args (@t3)) % 0.39/0.57 (step @p23 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.39/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t9) @t3))) % 0.39/0.57 (step @p25 :rule trans :premises (@p24 @p21)) % 0.39/0.57 (step @p26 :rule bool-impl-elim :args (@t9 @t3)) % 0.39/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t11)) % 0.39/0.57 (step @p29 :rule eq_resolve :premises (@p2 @p28)) % 0.39/0.57 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.p3 tptp.p7 tptp.p8))) % 0.39/0.57 (step @p31 :rule instantiate :premises (@p29) :args ((@list tptp.p3 tptp.p6 tptp.p7))) % 0.39/0.57 (step @p32 :rule bool-impl-elim :args (@t4 @t3)) % 0.39/0.57 (step @p33 :rule cong :premises (@p32) :args (@t5)) % 0.39/0.57 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.39/0.57 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.p6 tptp.p7))) % 0.39/0.57 (step @p36 :rule cnf_or_pos :args (@t29)) % 0.39/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t28 @t27 (not @t29)))) % 0.39/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p15 @p35) :args (@t27 @t30 (@list @t20 @t29))) % 0.39/0.57 (step @p39 :rule instantiate :premises (@p34) :args ((@list tptp.p3 tptp.p6))) % 0.39/0.57 (step @p40 :rule cnf_or_pos :args (@t33)) % 0.39/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t32 @t31 (not @t33)))) % 0.39/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p13 @p39) :args (@t31 @t30 (@list @t19 @t33))) % 0.39/0.57 (step @p43 :rule cnf_or_pos :args (@t37)) % 0.39/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t35 @t36 @t34 (not @t37)))) % 0.39/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38 @p31) :args (@t34 @t38 (@list @t31 @t27 @t37))) % 0.39/0.57 (step @p46 :rule instantiate :premises (@p34) :args ((@list tptp.p7 tptp.p8))) % 0.39/0.57 (step @p47 :rule cnf_or_pos :args (@t41)) % 0.39/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t40 @t39 (not @t41)))) % 0.39/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p17 @p46) :args (@t39 @t30 (@list @t21 @t41))) % 0.39/0.57 (step @p50 :rule cnf_or_pos :args (@t45)) % 0.39/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t44 @t43 @t42 (not @t45)))) % 0.39/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45 @p30) :args (@t42 @t38 (@list @t39 @t34 @t45))) % 0.39/0.57 (step @p53 :rule aci_norm :args ((= (or (or @t47 @t46) @t3) (or @t47 @t46 @t3)))) % 0.39/0.57 (step @p54 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.39/0.57 (step @p55 :rule nary_cong :premises (@p54 @p22) :args ((or (not @t15) @t3))) % 0.39/0.57 (step @p56 :rule trans :premises (@p55 @p53)) % 0.39/0.57 (step @p57 :rule bool-impl-elim :args (@t15 @t3)) % 0.39/0.57 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.57 (step @p59 :rule cong :premises (@p58) :args (@t16)) % 0.39/0.57 (step @p60 :rule eq_resolve :premises (@p3 @p59)) % 0.39/0.57 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.p3 tptp.loop tptp.p8))) % 0.39/0.57 (step @p62 :rule cnf_or_pos :args (@t51)) % 0.39/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t49 @t50 @t48 (not @t51)))) % 0.39/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p8 @p18 @p61) :args (@t48 @t38 (@list @t18 @t22 @t51))) % 0.39/0.57 (step @p65 :rule cnf_or_pos :args (@t54)) % 0.39/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t23 @t53 @t52 @t55))) % 0.39/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p19 @p64 @p52) :args (@t55 (@list true false false) (@list @t23 @t48 @t42))) % 0.39/0.57 (assume-push @p74 @t56) % 0.39/0.57 (step @p69 :rule instantiate :premises (@p29) :args ((@list tptp.p3 tptp.p8 tptp.p3))) % 0.39/0.57 (step-pop @p75 :rule scope :premises (@p69)) % 0.39/0.57 (step @p70 :rule process_scope :premises (@p75) :args (@t54)) % 0.39/0.57 (step @p72 :rule implies_elim :premises (@p70)) % 0.39/0.57 (step @p73 false :rule chain_m_resolution :premises (@p72 @p67 @p29) :args (false (@list true false) (@list @t54 @t56))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------