%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO381^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:12:32 AM UTC 2026 % Result : Theorem 1.45s 1.62s % Output : Proof 1.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO381^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 : Wed Jun 3 00:06:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.49 %----Proving TH0 % 1.45/1.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.45/1.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 1.45/1.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 1.45/1.62 --- Run --ho-elim --full-saturate-quant at 18s... % 1.45/1.62 % SZS status Theorem % 1.45/1.62 % SZS output start Proof % 1.45/1.62 ( % 1.45/1.62 (declare-sort $$unsorted 0) % 1.45/1.62 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 1.45/1.62 (define @t1 () (@var "Xw" $$unsorted)) % 1.45/1.62 (define @t2 () (@var "Xx" $$unsorted)) % 1.45/1.62 (define @t3 () (_ (_ tptp.cR @t2) @t1)) % 1.45/1.62 (define @t4 () (@list @t1)) % 1.45/1.62 (define @t5 () (forall @t4 @t3)) % 1.45/1.62 (define @t6 () (@var "Xy" $$unsorted)) % 1.45/1.62 (define @t7 () (@var "Xz" $$unsorted)) % 1.45/1.62 (define @t8 () (_ (_ tptp.cR @t7) @t6)) % 1.45/1.62 (define @t9 () (@list @t6)) % 1.45/1.62 (define @t10 () (forall @t9 @t8)) % 1.45/1.62 (define @t11 () (@list @t7)) % 1.45/1.62 (define @t12 () (exists @t11 @t10)) % 1.45/1.62 (define @t13 () (= @t12 @t5)) % 1.45/1.62 (define @t14 () (@list @t2)) % 1.45/1.62 (define @t15 () (exists @t14 @t13)) % 1.45/1.62 (define @t16 () (not @t15)) % 1.45/1.62 (define @t17 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 1.45/1.62 (define @t18 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 1.45/1.62 (define @t19 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 1.45/1.62 (define @t20 () (forall @t11 (not (forall @t9 (_ @t19 (_ @t18 @t17 @t7) @t6))))) % 1.45/1.62 (define @t21 () (forall @t4 (_ @t19 (_ @t18 @t17 @t2) @t1))) % 1.45/1.62 (define @t22 () (forall @t14 (= @t20 @t21))) % 1.45/1.62 (define @t23 () (tptp.cR @t2 @t1)) % 1.45/1.62 (define @t24 () (forall @t4 @t23)) % 1.45/1.62 (define @t25 () (tptp.cR @t7 @t6)) % 1.45/1.62 (define @t26 () (forall @t9 @t25)) % 1.45/1.62 (define @t27 () (forall @t11 (not @t26))) % 1.45/1.62 (define @t28 () (forall @t14 (= @t27 @t24))) % 1.45/1.62 (define @t29 () (not @t27)) % 1.45/1.62 (define @t30 () (= @t29 @t24)) % 1.45/1.62 (define @t31 () (forall @t14 (not @t30))) % 1.45/1.62 (define @t32 () (not @t31)) % 1.45/1.62 (define @t33 () (@const 3 $$unsorted)) % 1.45/1.62 (define @t34 () (_ @t18 @t17 @t33)) % 1.45/1.62 (define @t35 () (forall @t4 (_ @t19 @t34 @t1))) % 1.45/1.62 (define @t36 () (forall @t14 (= @t21 @t20))) % 1.45/1.62 (define @t37 () (= @t35 @t20)) % 1.45/1.62 (define @t38 () (@list @t33)) % 1.45/1.62 (define @t39 () (= @t20 @t35)) % 1.45/1.62 (define @t40 () (@list false)) % 1.45/1.62 (define @t41 () (@list @t36)) % 1.45/1.62 (define @t42 () (not @t20)) % 1.45/1.62 (define @t43 () (forall @t9 (_ @t19 @t34 @t6))) % 1.45/1.62 (define @t44 () (@list @t1)) % 1.45/1.62 (define @t45 () (@list @t6)) % 1.45/1.62 (define @t46 () (@quantifiers_skolemize @t20 0)) % 1.45/1.62 (define @t47 () (_ @t18 @t17 @t46)) % 1.45/1.62 (define @t48 () (forall @t9 (_ @t19 @t47 @t6))) % 1.45/1.62 (define @t49 () (not (not @t48))) % 1.45/1.62 (define @t50 () (forall @t4 (_ @t19 @t47 @t1))) % 1.45/1.62 (define @t51 () (= @t50 @t20)) % 1.45/1.62 (define @t52 () (= @t20 @t50)) % 1.45/1.62 (assume @p1 @t16) % 1.45/1.62 (assume @p2 true) % 1.45/1.62 (step @p3 :rule eq-symm :args (@t20 @t21)) % 1.45/1.62 (step @p4 :rule cong :premises (@p3) :args (@t22)) % 1.45/1.62 ; WARNING: add trust step for TRUST % 1.45/1.62 ; trust TRUST PREPROCESS_HO_ELIM % 1.45/1.62 (step @p5 :rule trust :premises () :args ((= @t28 @t22))) % 1.45/1.62 (step @p6 :rule bool-double-not-elim :args (@t28)) % 1.45/1.63 (step @p7 :rule refl :args (@t24)) % 1.45/1.63 (step @p8 :rule bool-double-not-elim :args (@t27)) % 1.45/1.63 (step @p9 :rule cong :premises (@p8 @p7) :args ((= (not @t29) @t24))) % 1.45/1.63 (step @p10 :rule bool-not-eq-elim1 :args (@t29 @t24)) % 1.45/1.63 (step @p11 :rule trans :premises (@p10 @p9)) % 1.45/1.63 (step @p12 :rule cong :premises (@p11) :args (@t31)) % 1.45/1.63 (step @p13 :rule cong :premises (@p12) :args (@t32)) % 1.45/1.63 (step @p14 :rule exists-elim :args ((= (exists @t14 @t30) @t32))) % 1.45/1.63 (step @p15 :rule trans :premises (@p14 @p13)) % 1.45/1.63 (step @p16 :rule refl :args (@t23)) % 1.45/1.63 (step @p17 :rule refl :args (@t3)) % 1.45/1.63 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t3 @t23))) % 1.45/1.63 (step @p19 :rule symm :premises (@p18)) % 1.45/1.63 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 1.45/1.63 (step @p21 :rule cong :premises (@p20) :args (@t5)) % 1.45/1.63 (step @p22 :rule exists-elim :args ((= (exists @t11 @t26) @t29))) % 1.45/1.63 (step @p23 :rule refl :args (@t25)) % 1.45/1.63 (step @p24 :rule refl :args (@t8)) % 1.45/1.63 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t8 @t25))) % 1.45/1.63 (step @p26 :rule symm :premises (@p25)) % 1.45/1.63 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 1.45/1.63 (step @p28 :rule cong :premises (@p27) :args (@t10)) % 1.45/1.63 (step @p29 :rule cong :premises (@p28) :args (@t12)) % 1.45/1.63 (step @p30 :rule trans :premises (@p29 @p22)) % 1.45/1.63 (step @p31 :rule cong :premises (@p30 @p21) :args (@t13)) % 1.45/1.63 (step @p32 :rule cong :premises (@p31) :args (@t15)) % 1.45/1.63 (step @p33 :rule trans :premises (@p32 @p15)) % 1.45/1.63 (step @p34 :rule cong :premises (@p33) :args (@t16)) % 1.45/1.63 (step @p35 :rule trans :premises (@p34 @p6)) % 1.45/1.63 (step @p36 :rule trans :premises (@p35 @p5 @p4)) % 1.45/1.63 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 1.45/1.63 (step @p38 :rule eq-symm :args (@t35 @t20)) % 1.45/1.63 (step @p39 :rule refl :args (@t36)) % 1.45/1.63 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t36 @t37))) % 1.45/1.63 (assume-push @p87 @t36) % 1.45/1.63 (step @p42 :rule instantiate :premises (@p37) :args (@t38)) % 1.45/1.63 (step-pop @p88 :rule scope :premises (@p42)) % 1.45/1.63 (step @p43 :rule process_scope :premises (@p88) :args (@t37)) % 1.45/1.63 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 1.45/1.63 (step @p46 :rule implies_elim :premises (@p45)) % 1.45/1.63 (step @p47 :rule chain_m_resolution :premises (@p46 @p37) :args (@t39 @t40 @t41)) % 1.45/1.63 (step @p48 :rule cnf_equiv_pos1 :args (@t39)) % 1.45/1.63 (step @p49 :rule reordering :premises (@p48) :args ((or @t35 @t42 (not @t39)))) % 1.45/1.63 (assume-push @p89 @t20) % 1.45/1.63 (step @p51 :rule instantiate :premises (@p89) :args (@t38)) % 1.45/1.63 (step-pop @p90 :rule scope :premises (@p51)) % 1.45/1.63 (step @p52 :rule process_scope :premises (@p90) :args ((not @t43))) % 1.45/1.63 (step @p54 :rule implies_elim :premises (@p52)) % 1.45/1.63 (step @p55 :rule alpha_equiv :args (@t35 @t44 @t45)) % 1.45/1.63 (step @p56 :rule equiv_elim1 :premises (@p55)) % 1.45/1.63 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p49 @p47) :args (@t42 (@list true false false) (@list @t43 @t35 @t39))) % 1.45/1.63 (step @p58 :rule refl :args (@t48)) % 1.45/1.63 (step @p59 :rule bool-double-not-elim :args (@t20)) % 1.45/1.63 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t42) @t48))) % 1.45/1.63 (step @p61 :rule bool-double-not-elim :args (@t48)) % 1.45/1.63 (step @p62 :rule refl :args (@t42)) % 1.45/1.63 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t42 @t49))) % 1.45/1.63 (assume-push @p91 @t42) % 1.45/1.63 (step @p65 :rule skolemize :premises (@p91)) % 1.45/1.63 (step-pop @p92 :rule scope :premises (@p65)) % 1.45/1.63 (step @p66 :rule process_scope :premises (@p92) :args (@t49)) % 1.45/1.63 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 1.45/1.63 (step @p69 :rule implies_elim :premises (@p68)) % 1.45/1.63 (step @p70 :rule eq_resolve :premises (@p69 @p60)) % 1.45/1.63 (step @p71 :rule chain_m_resolution :premises (@p70 @p57) :args (@t48 (@list true) (@list @t20))) % 1.45/1.63 (step @p72 :rule alpha_equiv :args (@t48 @t45 @t44)) % 1.45/1.63 (step @p73 :rule equiv_elim1 :premises (@p72)) % 1.45/1.63 (step @p74 :rule chain_m_resolution :premises (@p73 @p71) :args (@t50 @t40 (@list @t48))) % 1.45/1.63 (step @p75 :rule eq-symm :args (@t50 @t20)) % 1.45/1.63 (step @p76 :rule cong :premises (@p39 @p75) :args ((=> @t36 @t51))) % 1.45/1.63 (assume-push @p93 @t36) % 1.45/1.63 (step @p78 :rule instantiate :premises (@p37) :args ((@list @t46))) % 1.45/1.63 (step-pop @p94 :rule scope :premises (@p78)) % 1.45/1.63 (step @p79 :rule process_scope :premises (@p94) :args (@t51)) % 1.45/1.63 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 1.45/1.63 (step @p82 :rule implies_elim :premises (@p81)) % 1.45/1.63 (step @p83 :rule chain_m_resolution :premises (@p82 @p37) :args (@t52 @t40 @t41)) % 1.45/1.63 (step @p84 :rule cnf_equiv_pos2 :args (@t52)) % 1.45/1.63 (step @p85 :rule reordering :premises (@p84) :args ((or @t20 (not @t50) (not @t52)))) % 1.45/1.63 (step @p86 false :rule chain_m_resolution :premises (@p85 @p83 @p74 @p57) :args (false (@list false false true) (@list @t52 @t50 @t20))) % 1.45/1.63 ) % 1.45/1.63 % SZS output end Proof % 1.45/1.63 % cvc5 exiting %------------------------------------------------------------------------------