%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN381+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:08:44 AM UTC 2026 % Result : Theorem 0.33s 0.57s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN381+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.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 23:25:47 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Theorem % 0.33/0.57 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (declare-sort $$unsorted 0) % 0.33/0.57 (declare-const tptp.big_q (-> $$unsorted $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.33/0.57 (define @t1 () (@var "Z" $$unsorted)) % 0.33/0.57 (define @t2 () (forall (@list @t1) (tptp.big_p @t1))) % 0.33/0.57 (define @t3 () (tptp.big_q @t1 @t1)) % 0.33/0.57 (define @t4 () (@var "W" $$unsorted)) % 0.33/0.57 (define @t5 () (tptp.big_q @t1 @t4)) % 0.33/0.57 (define @t6 () (or @t5 @t3)) % 0.33/0.57 (define @t7 () (tptp.big_q @t4 @t1)) % 0.33/0.57 (define @t8 () (forall (@list @t4 @t1) (=> @t7 @t6))) % 0.33/0.57 (define @t9 () (@var "V" $$unsorted)) % 0.33/0.57 (define @t10 () (@var "U" $$unsorted)) % 0.33/0.57 (define @t11 () (tptp.big_q @t10 @t9)) % 0.33/0.57 (define @t12 () (@list @t10)) % 0.33/0.57 (define @t13 () (exists @t12 @t11)) % 0.33/0.57 (define @t14 () (forall (@list @t9) @t13)) % 0.33/0.57 (define @t15 () (@var "X" $$unsorted)) % 0.33/0.57 (define @t16 () (tptp.big_p @t15)) % 0.33/0.57 (define @t17 () (@var "Y" $$unsorted)) % 0.33/0.57 (define @t18 () (tptp.big_q @t15 @t17)) % 0.33/0.57 (define @t19 () (@list @t17)) % 0.33/0.57 (define @t20 () (exists @t19 @t18)) % 0.33/0.57 (define @t21 () (=> @t20 @t16)) % 0.33/0.57 (define @t22 () (@list @t15)) % 0.33/0.57 (define @t23 () (forall @t22 @t21)) % 0.33/0.57 (define @t24 () (and @t23 @t14 @t8)) % 0.33/0.57 (define @t25 () (=> @t24 @t2)) % 0.33/0.57 (define @t26 () (not @t25)) % 0.33/0.57 (define @t27 () (not @t7)) % 0.33/0.57 (define @t28 () (@var "BOUND_VARIABLE_7449" $$unsorted)) % 0.33/0.57 (define @t29 () (not (tptp.big_q @t15 @t28))) % 0.33/0.57 (define @t30 () (or @t29 @t16)) % 0.33/0.57 (define @t31 () (forall (@list @t15 @t28) @t30)) % 0.33/0.57 (define @t32 () (@list @t28)) % 0.33/0.57 (define @t33 () (forall @t32 @t30)) % 0.33/0.57 (define @t34 () (forall @t32 @t29)) % 0.33/0.57 (define @t35 () (or @t34 @t16)) % 0.33/0.57 (define @t36 () (forall @t19 (not @t18))) % 0.33/0.57 (define @t37 () (not @t36)) % 0.33/0.57 (define @t38 () (@quantifiers_skolemize @t2 0)) % 0.33/0.57 (define @t39 () (forall @t12 (not (tptp.big_q @t10 @t38)))) % 0.33/0.57 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.33/0.57 (define @t41 () (tptp.big_q @t40 @t38)) % 0.33/0.57 (define @t42 () (not @t39)) % 0.33/0.57 (define @t43 () (not @t41)) % 0.33/0.57 (define @t44 () (not @t43)) % 0.33/0.57 (define @t45 () (tptp.big_p @t38)) % 0.33/0.57 (define @t46 () (tptp.big_q @t38 @t38)) % 0.33/0.57 (define @t47 () (not @t46)) % 0.33/0.57 (define @t48 () (or @t47 @t45)) % 0.33/0.57 (define @t49 () (@list true false)) % 0.33/0.57 (define @t50 () (tptp.big_q @t38 @t40)) % 0.33/0.57 (define @t51 () (or @t43 @t50 @t46)) % 0.33/0.57 (define @t52 () (not @t50)) % 0.33/0.57 (define @t53 () (or @t52 @t45)) % 0.33/0.57 (define @t54 () (not @t53)) % 0.33/0.57 (assume @p1 @t26) % 0.33/0.57 (assume @p2 true) % 0.33/0.57 (step @p3 :rule refl :args (@t2)) % 0.33/0.57 (step @p4 :rule aci_norm :args ((= (or @t27 @t6) (or @t27 @t5 @t3)))) % 0.33/0.57 (step @p5 :rule bool-impl-elim :args (@t7 @t6)) % 0.33/0.57 (step @p6 :rule trans :premises (@p5 @p4)) % 0.33/0.57 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 0.33/0.57 (step @p8 :rule exists-elim :args ((= @t13 (not (forall @t12 (not @t11)))))) % 0.33/0.57 (step @p9 :rule cong :premises (@p8) :args (@t14)) % 0.33/0.57 (step @p10 :rule quant-merge-prenex :args ((= (forall @t22 @t33) @t31))) % 0.33/0.57 (step @p11 :rule refl :args (@t16)) % 0.33/0.57 (step @p12 :rule alpha_equiv :args (@t34 (@list @t28) (@list @t17))) % 0.33/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t35)) % 0.33/0.57 (step @p14 :rule quant-miniscope-or :args ((= @t33 @t35))) % 0.33/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.33/0.57 (step @p16 :rule symm :premises (@p15)) % 0.33/0.57 (step @p17 :rule cong :premises (@p16) :args ((forall @t22 (or @t36 @t16)))) % 0.33/0.57 (step @p18 :rule trans :premises (@p17 @p10)) % 0.33/0.57 (step @p19 :rule bool-double-not-elim :args (@t36)) % 0.33/0.57 (step @p20 :rule nary_cong :premises (@p19 @p11) :args ((or (not @t37) @t16))) % 0.33/0.57 (step @p21 :rule bool-impl-elim :args (@t37 @t16)) % 0.33/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.33/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t22 (=> @t37 @t16)))) % 0.33/0.57 (step @p24 :rule trans :premises (@p23 @p18)) % 0.33/0.57 (step @p25 :rule refl :args (@t16)) % 0.33/0.57 (step @p26 :rule exists-elim :args ((= @t20 @t37))) % 0.33/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args (@t21)) % 0.33/0.57 (step @p28 :rule cong :premises (@p27) :args (@t23)) % 0.33/0.57 (step @p29 :rule trans :premises (@p28 @p24)) % 0.33/0.57 (step @p30 :rule nary_cong :premises (@p29 @p9 @p7) :args (@t24)) % 0.33/0.57 (step @p31 :rule cong :premises (@p30 @p3) :args (@t25)) % 0.33/0.57 (step @p32 :rule cong :premises (@p31) :args (@t26)) % 0.33/0.57 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.33/0.57 (step @p34 :rule not_implies_elim1 :premises (@p33)) % 0.33/0.57 (step @p35 :rule and_elim :premises (@p34) :args (0)) % 0.33/0.57 (step @p36 :rule and_elim :premises (@p34) :args (2)) % 0.33/0.57 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t40 @t38))) % 0.33/0.57 (step @p38 :rule and_elim :premises (@p34) :args (1)) % 0.33/0.57 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t38))) % 0.33/0.57 (step @p40 :rule refl :args (@t41)) % 0.33/0.57 (step @p41 :rule bool-double-not-elim :args (@t39)) % 0.33/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t42) @t41))) % 0.33/0.57 (step @p43 :rule bool-double-not-elim :args (@t41)) % 0.33/0.57 (step @p44 :rule refl :args (@t42)) % 0.33/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t42 @t44))) % 0.33/0.57 (assume-push @p72 @t42) % 0.33/0.57 (step @p47 :rule skolemize :premises (@p39)) % 0.33/0.57 (step-pop @p73 :rule scope :premises (@p47)) % 0.33/0.57 (step @p48 :rule process_scope :premises (@p73) :args (@t44)) % 0.33/0.57 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.33/0.57 (step @p51 :rule implies_elim :premises (@p50)) % 0.33/0.57 (step @p52 :rule eq_resolve :premises (@p51 @p42)) % 0.33/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p39) :args (@t41 (@list true) (@list @t39))) % 0.33/0.57 (step @p54 :rule instantiate :premises (@p35) :args ((@list @t38 @t38))) % 0.33/0.57 (step @p55 :rule not_implies_elim2 :premises (@p33)) % 0.33/0.57 (step @p56 :rule skolemize :premises (@p55)) % 0.33/0.57 (step @p57 :rule cnf_or_pos :args (@t48)) % 0.33/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t45 @t47 (not @t48)))) % 0.33/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p54) :args (@t47 @t49 (@list @t45 @t48))) % 0.33/0.57 (step @p60 :rule cnf_or_pos :args (@t51)) % 0.33/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t46 @t43 @t50 (not @t51)))) % 0.33/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p53 @p37) :args (@t50 (@list true false false) (@list @t46 @t41 @t51))) % 0.33/0.57 (step @p63 :rule cnf_or_pos :args (@t53)) % 0.33/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t45 @t52 @t54))) % 0.33/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p56 @p62) :args (@t54 @t49 (@list @t45 @t50))) % 0.33/0.57 (assume-push @p74 @t31) % 0.33/0.57 (step @p67 :rule instantiate :premises (@p35) :args ((@list @t38 @t40))) % 0.33/0.57 (step-pop @p75 :rule scope :premises (@p67)) % 0.33/0.57 (step @p68 :rule process_scope :premises (@p75) :args (@t53)) % 0.33/0.57 (step @p70 :rule implies_elim :premises (@p68)) % 0.33/0.57 (step @p71 false :rule chain_m_resolution :premises (@p70 @p65 @p35) :args (false @t49 (@list @t53 @t31))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------