%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN721+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:09:43 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYN721+1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:34:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.b $$unsorted) % 0.33/0.56 (declare-const tptp.q (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.a $$unsorted) % 0.33/0.56 (define @t1 () (@var "W" $$unsorted)) % 0.33/0.56 (define @t2 () (tptp.q @t1 tptp.a)) % 0.33/0.56 (define @t3 () (tptp.r tptp.b @t1)) % 0.33/0.56 (define @t4 () (and @t3 @t2)) % 0.33/0.56 (define @t5 () (@list @t1)) % 0.33/0.56 (define @t6 () (exists @t5 @t4)) % 0.33/0.56 (define @t7 () (@var "V" $$unsorted)) % 0.33/0.56 (define @t8 () (@var "Z" $$unsorted)) % 0.33/0.56 (define @t9 () (forall (@list @t8) (tptp.r @t8 @t7))) % 0.33/0.56 (define @t10 () (@var "U" $$unsorted)) % 0.33/0.56 (define @t11 () (tptp.q @t10 @t7)) % 0.33/0.56 (define @t12 () (@list @t10 @t7)) % 0.33/0.56 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.33/0.56 (define @t14 () (@var "X" $$unsorted)) % 0.33/0.56 (define @t15 () (tptp.q @t14 @t14)) % 0.33/0.56 (define @t16 () (@var "Y" $$unsorted)) % 0.33/0.56 (define @t17 () (tptp.r @t14 @t16)) % 0.33/0.56 (define @t18 () (@list @t16)) % 0.33/0.56 (define @t19 () (exists @t18 @t17)) % 0.33/0.56 (define @t20 () (=> @t19 @t15)) % 0.33/0.56 (define @t21 () (@list @t14)) % 0.33/0.56 (define @t22 () (forall @t21 @t20)) % 0.33/0.56 (define @t23 () (tptp.r tptp.a tptp.b)) % 0.33/0.56 (define @t24 () (and @t23 @t22 @t13)) % 0.33/0.56 (define @t25 () (=> @t24 @t6)) % 0.33/0.56 (define @t26 () (not @t25)) % 0.33/0.56 (define @t27 () (forall @t5 (not @t4))) % 0.33/0.56 (define @t28 () (not @t27)) % 0.33/0.56 (define @t29 () (@var "BOUND_VARIABLE_7458" $$unsorted)) % 0.33/0.56 (define @t30 () (tptp.r @t29 @t7)) % 0.33/0.56 (define @t31 () (not @t11)) % 0.33/0.56 (define @t32 () (or @t31 @t30)) % 0.33/0.56 (define @t33 () (forall (@list @t10 @t7 @t29) @t32)) % 0.33/0.56 (define @t34 () (@list @t29)) % 0.33/0.56 (define @t35 () (forall @t34 @t32)) % 0.33/0.56 (define @t36 () (forall @t34 @t30)) % 0.33/0.56 (define @t37 () (or @t31 @t36)) % 0.33/0.56 (define @t38 () (@var "BOUND_VARIABLE_7448" $$unsorted)) % 0.33/0.56 (define @t39 () (not (tptp.r @t14 @t38))) % 0.33/0.56 (define @t40 () (or @t39 @t15)) % 0.33/0.56 (define @t41 () (@list @t38)) % 0.33/0.56 (define @t42 () (forall @t41 @t40)) % 0.33/0.56 (define @t43 () (forall @t41 @t39)) % 0.33/0.56 (define @t44 () (or @t43 @t15)) % 0.33/0.56 (define @t45 () (forall @t18 (not @t17))) % 0.33/0.56 (define @t46 () (not @t45)) % 0.33/0.56 (define @t47 () (tptp.q tptp.a tptp.a)) % 0.33/0.56 (define @t48 () (not @t23)) % 0.33/0.56 (define @t49 () (or @t48 @t47)) % 0.33/0.56 (define @t50 () (@list false false)) % 0.33/0.56 (define @t51 () (not @t47)) % 0.33/0.56 (define @t52 () (tptp.r tptp.b tptp.a)) % 0.33/0.56 (define @t53 () (not @t52)) % 0.33/0.56 (define @t54 () (or @t53 @t51)) % 0.33/0.56 (define @t55 () (or @t51 @t52)) % 0.33/0.56 (define @t56 () (not @t55)) % 0.33/0.56 (assume @p1 @t26) % 0.33/0.56 (assume @p2 true) % 0.33/0.56 (step @p3 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.33/0.56 (step @p4 :rule cong :premises (@p3) :args (@t27)) % 0.33/0.56 (step @p5 :rule cong :premises (@p4) :args (@t28)) % 0.33/0.56 (step @p6 :rule exists-elim :args ((= @t6 @t28))) % 0.33/0.56 (step @p7 :rule trans :premises (@p6 @p5)) % 0.33/0.56 (step @p8 :rule quant-merge-prenex :args ((= (forall @t12 @t35) @t33))) % 0.33/0.56 (step @p9 :rule alpha_equiv :args (@t36 (@list @t29) (@list @t8))) % 0.33/0.56 (step @p10 :rule refl :args (@t31)) % 0.33/0.56 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t37)) % 0.33/0.56 (step @p12 :rule quant-miniscope-or :args ((= @t35 @t37))) % 0.33/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.33/0.56 (step @p14 :rule symm :premises (@p13)) % 0.33/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t12 (or @t31 @t9)))) % 0.33/0.56 (step @p16 :rule trans :premises (@p15 @p8)) % 0.33/0.56 (step @p17 :rule bool-impl-elim :args (@t11 @t9)) % 0.33/0.56 (step @p18 :rule cong :premises (@p17) :args (@t13)) % 0.33/0.56 (step @p19 :rule trans :premises (@p18 @p16)) % 0.33/0.56 (step @p20 :rule quant-merge-prenex :args ((= (forall @t21 @t42) (forall (@list @t14 @t38) @t40)))) % 0.33/0.56 (step @p21 :rule refl :args (@t15)) % 0.33/0.56 (step @p22 :rule alpha_equiv :args (@t43 (@list @t38) (@list @t16))) % 0.33/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t44)) % 0.33/0.56 (step @p24 :rule quant-miniscope-or :args ((= @t42 @t44))) % 0.33/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.33/0.56 (step @p26 :rule symm :premises (@p25)) % 0.33/0.56 (step @p27 :rule cong :premises (@p26) :args ((forall @t21 (or @t45 @t15)))) % 0.33/0.56 (step @p28 :rule trans :premises (@p27 @p20)) % 0.33/0.56 (step @p29 :rule bool-double-not-elim :args (@t45)) % 0.33/0.56 (step @p30 :rule nary_cong :premises (@p29 @p21) :args ((or (not @t46) @t15))) % 0.33/0.56 (step @p31 :rule bool-impl-elim :args (@t46 @t15)) % 0.33/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.33/0.56 (step @p33 :rule cong :premises (@p32) :args ((forall @t21 (=> @t46 @t15)))) % 0.33/0.56 (step @p34 :rule trans :premises (@p33 @p28)) % 0.33/0.56 (step @p35 :rule refl :args (@t15)) % 0.33/0.56 (step @p36 :rule exists-elim :args ((= @t19 @t46))) % 0.33/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args (@t20)) % 0.33/0.56 (step @p38 :rule cong :premises (@p37) :args (@t22)) % 0.33/0.56 (step @p39 :rule trans :premises (@p38 @p34)) % 0.33/0.56 (step @p40 :rule refl :args (@t23)) % 0.33/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39 @p19) :args (@t24)) % 0.33/0.56 (step @p42 :rule cong :premises (@p41 @p7) :args (@t25)) % 0.33/0.56 (step @p43 :rule cong :premises (@p42) :args (@t26)) % 0.33/0.56 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.33/0.56 (step @p45 :rule not_implies_elim1 :premises (@p44)) % 0.33/0.56 (step @p46 :rule and_elim :premises (@p45) :args (2)) % 0.33/0.56 (step @p47 :rule not_implies_elim2 :premises (@p44)) % 0.33/0.56 (step @p48 :rule not_not_elim :premises (@p47)) % 0.33/0.56 (step @p49 :rule instantiate :premises (@p48) :args ((@list tptp.a))) % 0.33/0.56 (step @p50 :rule and_elim :premises (@p45) :args (1)) % 0.33/0.56 (step @p51 :rule instantiate :premises (@p50) :args ((@list tptp.a tptp.b))) % 0.33/0.56 (step @p52 :rule and_elim :premises (@p45) :args (0)) % 0.33/0.56 (step @p53 :rule cnf_or_pos :args (@t49)) % 0.33/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t48 @t47 (not @t49)))) % 0.33/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p51) :args (@t47 @t50 (@list @t23 @t49))) % 0.33/0.56 (step @p56 :rule cnf_or_pos :args (@t54)) % 0.33/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t51 @t53 (not @t54)))) % 0.33/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p49) :args (@t53 @t50 (@list @t47 @t54))) % 0.33/0.56 (step @p59 :rule cnf_or_pos :args (@t55)) % 0.33/0.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t51 @t52 @t56))) % 0.33/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p55 @p58) :args (@t56 (@list false true) (@list @t47 @t52))) % 0.33/0.56 (assume-push @p68 @t33) % 0.33/0.56 (step @p63 :rule instantiate :premises (@p46) :args ((@list tptp.a tptp.a tptp.b))) % 0.33/0.56 (step-pop @p69 :rule scope :premises (@p63)) % 0.33/0.56 (step @p64 :rule process_scope :premises (@p69) :args (@t55)) % 0.33/0.56 (step @p66 :rule implies_elim :premises (@p64)) % 0.33/0.56 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p46) :args (false (@list true false) (@list @t55 @t33))) % 0.33/0.56 ) % 0.33/0.56 % SZS output end Proof % 0.33/0.56 % cvc5 exiting %------------------------------------------------------------------------------