%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN382+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:08:45 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 : SYN382+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:25:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----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 $$unsorted 0) % 0.37/0.56 (declare-const tptp.big_p (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.big_q (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.big_q @t2 @t1)) % 0.37/0.56 (define @t4 () (tptp.big_p @t2 @t1)) % 0.37/0.56 (define @t5 () (or @t4 @t3)) % 0.37/0.56 (define @t6 () (@list @t2)) % 0.37/0.56 (define @t7 () (exists @t6 @t5)) % 0.37/0.56 (define @t8 () (@list @t1)) % 0.37/0.56 (define @t9 () (forall @t8 @t7)) % 0.37/0.56 (define @t10 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t11 () (tptp.big_q @t2 @t10)) % 0.37/0.56 (define @t12 () (forall @t8 @t4)) % 0.37/0.56 (define @t13 () (or @t12 @t11)) % 0.37/0.56 (define @t14 () (exists @t6 @t13)) % 0.37/0.56 (define @t15 () (@list @t10)) % 0.37/0.56 (define @t16 () (forall @t15 @t14)) % 0.37/0.56 (define @t17 () (=> @t16 @t9)) % 0.37/0.56 (define @t18 () (not @t17)) % 0.37/0.56 (define @t19 () (@var "BOUND_VARIABLE_7464" $$unsorted)) % 0.37/0.56 (define @t20 () (@list @t19)) % 0.37/0.56 (define @t21 () (forall @t20 (not (tptp.big_p @t19 @t1)))) % 0.37/0.56 (define @t22 () (@var "BOUND_VARIABLE_7470" $$unsorted)) % 0.37/0.56 (define @t23 () (@list @t22)) % 0.37/0.56 (define @t24 () (forall @t23 (not (tptp.big_q @t22 @t1)))) % 0.37/0.56 (define @t25 () (not @t3)) % 0.37/0.56 (define @t26 () (forall @t6 @t25)) % 0.37/0.56 (define @t27 () (@list @t2)) % 0.37/0.56 (define @t28 () (@list @t22)) % 0.37/0.56 (define @t29 () (not @t4)) % 0.37/0.56 (define @t30 () (forall @t6 @t29)) % 0.37/0.56 (define @t31 () (and @t30 @t26)) % 0.37/0.56 (define @t32 () (forall @t6 (not @t5))) % 0.37/0.56 (define @t33 () (not @t32)) % 0.37/0.56 (define @t34 () (@var "BOUND_VARIABLE_7442" $$unsorted)) % 0.37/0.56 (define @t35 () (@list @t34)) % 0.37/0.56 (define @t36 () (forall @t35 (not (tptp.big_q @t34 @t10)))) % 0.37/0.56 (define @t37 () (not @t36)) % 0.37/0.56 (define @t38 () (forall @t15 @t37)) % 0.37/0.56 (define @t39 () (@var "BOUND_VARIABLE_7435" $$unsorted)) % 0.37/0.56 (define @t40 () (forall (@list @t39) (not (forall @t8 (tptp.big_p @t39 @t1))))) % 0.37/0.56 (define @t41 () (not @t40)) % 0.37/0.56 (define @t42 () (not @t11)) % 0.37/0.56 (define @t43 () (forall @t6 @t42)) % 0.37/0.56 (define @t44 () (@list @t34)) % 0.37/0.56 (define @t45 () (not @t12)) % 0.37/0.56 (define @t46 () (forall @t6 @t45)) % 0.37/0.56 (define @t47 () (and @t46 @t43)) % 0.37/0.56 (define @t48 () (forall @t6 (not @t13))) % 0.37/0.56 (define @t49 () (not @t48)) % 0.37/0.56 (define @t50 () (@quantifiers_skolemize (forall @t8 (or (not @t21) (not @t24))) 0)) % 0.37/0.56 (define @t51 () (forall @t20 (not (tptp.big_p @t19 @t50)))) % 0.37/0.56 (define @t52 () (forall @t23 (not (tptp.big_q @t22 @t50)))) % 0.37/0.56 (define @t53 () (not @t52)) % 0.37/0.56 (define @t54 () (not @t51)) % 0.37/0.56 (define @t55 () (or @t54 @t53)) % 0.37/0.56 (define @t56 () (@list true)) % 0.37/0.56 (define @t57 () (@list @t55)) % 0.37/0.56 (define @t58 () (@quantifiers_skolemize @t40 0)) % 0.37/0.56 (define @t59 () (forall @t8 (tptp.big_p @t58 @t1))) % 0.37/0.56 (define @t60 () (@list @t50)) % 0.37/0.56 (define @t61 () (tptp.big_p @t58 @t50)) % 0.37/0.56 (define @t62 () (not @t59)) % 0.37/0.56 (define @t63 () (not @t62)) % 0.37/0.56 (define @t64 () (@list false)) % 0.37/0.56 (define @t65 () (forall @t35 (not (tptp.big_q @t34 @t50)))) % 0.37/0.56 (assume @p1 @t18) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule bool-and-de-morgan :args (@t21 @t24 true)) % 0.37/0.56 (step @p4 :rule cong :premises (@p3) :args ((forall @t8 (not (and @t21 @t24))))) % 0.37/0.56 (step @p5 :rule alpha_equiv :args (@t26 @t27 @t28)) % 0.37/0.56 (step @p6 :rule alpha_equiv :args (@t30 @t27 (@list @t19))) % 0.37/0.56 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t31)) % 0.37/0.56 (step @p8 :rule quant-miniscope-and :args ((= (forall @t6 (and @t29 @t25)) @t31))) % 0.37/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.37/0.56 (step @p10 :rule bool-or-de-morgan :args (@t4 @t3 false)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10) :args (@t32)) % 0.37/0.56 (step @p12 :rule trans :premises (@p11 @p9)) % 0.37/0.56 (step @p13 :rule cong :premises (@p12) :args (@t33)) % 0.37/0.56 (step @p14 :rule exists-elim :args ((= @t7 @t33))) % 0.37/0.56 (step @p15 :rule trans :premises (@p14 @p13)) % 0.37/0.56 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.37/0.56 (step @p17 :rule trans :premises (@p16 @p4)) % 0.37/0.56 (step @p18 :rule quant-miniscope-or :args ((= (forall @t15 (or @t41 @t37)) (or @t41 @t38)))) % 0.37/0.56 (step @p19 :rule bool-and-de-morgan :args (@t40 @t36 true)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args ((forall @t15 (not (and @t40 @t36))))) % 0.37/0.56 (step @p21 :rule trans :premises (@p20 @p18)) % 0.37/0.56 (step @p22 :rule alpha_equiv :args (@t43 @t27 @t44)) % 0.37/0.56 (step @p23 :rule alpha_equiv :args (@t46 @t27 (@list @t39))) % 0.37/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t47)) % 0.37/0.57 (step @p25 :rule quant-miniscope-and :args ((= (forall @t6 (and @t45 @t42)) @t47))) % 0.37/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.37/0.57 (step @p27 :rule bool-or-de-morgan :args (@t12 @t11 false)) % 0.37/0.57 (step @p28 :rule cong :premises (@p27) :args (@t48)) % 0.37/0.57 (step @p29 :rule trans :premises (@p28 @p26)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29) :args (@t49)) % 0.37/0.57 (step @p31 :rule exists-elim :args ((= @t14 @t49))) % 0.37/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32) :args (@t16)) % 0.37/0.57 (step @p34 :rule trans :premises (@p33 @p21)) % 0.37/0.57 (step @p35 :rule cong :premises (@p34 @p17) :args (@t17)) % 0.37/0.57 (step @p36 :rule cong :premises (@p35) :args (@t18)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.37/0.57 (step @p38 :rule not_implies_elim2 :premises (@p37)) % 0.37/0.57 (step @p39 :rule skolemize :premises (@p38)) % 0.37/0.57 (step @p40 :rule bool-double-not-elim :args (@t51)) % 0.37/0.57 (step @p41 :rule refl :args (@t55)) % 0.37/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t55 (not @t54)))) % 0.37/0.57 (step @p43 :rule cnf_or_neg :args (@t55 0)) % 0.37/0.57 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.37/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t51 @t55))) % 0.37/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p39) :args (@t51 @t56 @t57)) % 0.37/0.57 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t58))) % 0.37/0.57 (assume-push @p85 @t59) % 0.37/0.57 (step @p49 :rule instantiate :premises (@p85) :args (@t60)) % 0.37/0.57 (step-pop @p86 :rule scope :premises (@p49)) % 0.37/0.57 (step @p50 :rule process_scope :premises (@p86) :args (@t61)) % 0.37/0.57 (step @p52 :rule implies_elim :premises (@p50)) % 0.37/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p47) :args (@t62 @t56 (@list @t61))) % 0.37/0.57 (step @p54 :rule refl :args (@t59)) % 0.37/0.57 (step @p55 :rule bool-double-not-elim :args (@t40)) % 0.37/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t41) @t59))) % 0.37/0.57 (step @p57 :rule bool-double-not-elim :args (@t59)) % 0.37/0.57 (step @p58 :rule refl :args (@t41)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t41 @t63))) % 0.37/0.57 (assume-push @p87 @t41) % 0.37/0.57 (step @p61 :rule skolemize :premises (@p87)) % 0.37/0.57 (step-pop @p88 :rule scope :premises (@p61)) % 0.37/0.57 (step @p62 :rule process_scope :premises (@p88) :args (@t63)) % 0.37/0.57 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.37/0.57 (step @p65 :rule implies_elim :premises (@p64)) % 0.37/0.57 (step @p66 :rule eq_resolve :premises (@p65 @p56)) % 0.37/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p53) :args (@t40 @t56 (@list @t59))) % 0.37/0.57 (step @p68 :rule not_implies_elim1 :premises (@p37)) % 0.37/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p67) :args (@t38 @t64 (@list @t40))) % 0.37/0.57 (step @p70 :rule bool-double-not-elim :args (@t52)) % 0.37/0.57 (step @p71 :rule nary_cong :premises (@p41 @p70) :args ((or @t55 (not @t53)))) % 0.37/0.57 (step @p72 :rule cnf_or_neg :args (@t55 1)) % 0.37/0.57 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.37/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t52 @t55))) % 0.37/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p39) :args (@t52 @t56 @t57)) % 0.37/0.57 (step @p76 :rule alpha_equiv :args (@t52 @t28 @t44)) % 0.37/0.57 (step @p77 :rule equiv_elim1 :premises (@p76)) % 0.37/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p75) :args (@t65 @t64 (@list @t52))) % 0.37/0.57 (assume-push @p89 @t38) % 0.37/0.57 (step @p80 :rule instantiate :premises (@p89) :args (@t60)) % 0.37/0.57 (step-pop @p90 :rule scope :premises (@p80)) % 0.37/0.57 (step @p81 :rule process_scope :premises (@p90) :args ((not @t65))) % 0.37/0.57 (step @p83 :rule implies_elim :premises (@p81)) % 0.37/0.57 (step @p84 false :rule chain_m_resolution :premises (@p83 @p78 @p69) :args (false (@list false false) (@list @t65 @t38))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------