%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO361^5 : 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 : n024.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 09:12:29 AM UTC 2026 % Result : Theorem 0.23s 0.49s % Output : Proof 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO361^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 19:05:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TH0 % 0.23/0.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.23/0.49 % SZS status Theorem % 0.23/0.49 % SZS output start Proof % 0.23/0.49 ( % 0.23/0.49 (declare-sort $$unsorted 0) % 0.23/0.49 (define @t1 () (@var "Y" $$unsorted)) % 0.23/0.49 (define @t2 () (@var "X" $$unsorted)) % 0.23/0.49 (define @t3 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.23/0.49 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.23/0.49 (define @t5 () (@var "Z" $$unsorted)) % 0.23/0.49 (define @t6 () (_ (_ @t3 @t5) @t5)) % 0.23/0.49 (define @t7 () (@list @t5)) % 0.23/0.49 (define @t8 () (forall @t7 @t6)) % 0.23/0.49 (define @t9 () (=> @t8 @t4)) % 0.23/0.49 (define @t10 () (@list @t3)) % 0.23/0.49 (define @t11 () (forall @t10 @t9)) % 0.23/0.49 (define @t12 () (= @t2 @t1)) % 0.23/0.49 (define @t13 () (= @t12 @t11)) % 0.23/0.49 (define @t14 () (@list @t2 @t1)) % 0.23/0.49 (define @t15 () (forall @t14 @t13)) % 0.23/0.49 (define @t16 () (not @t15)) % 0.23/0.49 (define @t17 () (_ @t3 @t2 @t1)) % 0.23/0.49 (define @t18 () (_ @t3 @t5 @t5)) % 0.23/0.49 (define @t19 () (forall @t7 @t18)) % 0.23/0.49 (define @t20 () (not @t19)) % 0.23/0.49 (define @t21 () (or @t20 @t4)) % 0.23/0.49 (define @t22 () (forall @t14 (= @t12 (forall @t10 (or @t20 @t17))))) % 0.23/0.49 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.23/0.49 (define @t24 () (@quantifiers_skolemize @t22 0)) % 0.23/0.49 (define @t25 () (forall @t10 (or @t20 (_ @t3 @t24 @t23)))) % 0.23/0.49 (define @t26 () (= @t24 @t23)) % 0.23/0.49 (define @t27 () (= @t26 @t25)) % 0.23/0.49 (define @t28 () (@quantifiers_skolemize @t25 0)) % 0.23/0.49 (define @t29 () (_ @t28 @t24 @t23)) % 0.23/0.49 (define @t30 () (forall @t7 (_ @t28 @t5 @t5))) % 0.23/0.49 (define @t31 () (not @t30)) % 0.23/0.49 (define @t32 () (or @t31 @t29)) % 0.23/0.49 (define @t33 () (not @t32)) % 0.23/0.49 (define @t34 () (not @t25)) % 0.23/0.49 (define @t35 () (_ @t28 @t24 @t24)) % 0.23/0.49 (define @t36 () (not @t35)) % 0.23/0.49 (define @t37 () (not @t26)) % 0.23/0.49 (define @t38 () (not @t29)) % 0.23/0.49 (define @t39 () (and @t26 @t38)) % 0.23/0.49 (define @t40 () (@var "BOUND_VARIABLE_51424" $$unsorted)) % 0.23/0.49 (define @t41 () (@var "BOUND_VARIABLE_51423" $$unsorted)) % 0.23/0.49 (define @t42 () (lambda (@list @t41 @t40) (= @t41 @t40))) % 0.23/0.49 (define @t43 () (_ @t42 @t24 @t23)) % 0.23/0.49 (define @t44 () (_ @t42 @t5 @t5)) % 0.23/0.49 (define @t45 () (forall @t7 @t44)) % 0.23/0.49 (define @t46 () (not @t45)) % 0.23/0.49 (define @t47 () (or @t46 @t43)) % 0.23/0.49 (assume @p1 @t16) % 0.23/0.49 (assume @p2 true) % 0.23/0.49 (step @p3 :rule refl :args (@t17)) % 0.23/0.49 (step @p4 :rule refl :args (@t4)) % 0.23/0.49 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t17))) % 0.23/0.49 (step @p6 :rule symm :premises (@p5)) % 0.23/0.49 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.23/0.49 (step @p8 :rule refl :args (@t20)) % 0.23/0.49 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t21)) % 0.23/0.49 (step @p10 :rule cong :premises (@p9) :args ((forall @t10 @t21))) % 0.23/0.49 (step @p11 :rule bool-impl-elim :args (@t19 @t4)) % 0.23/0.49 (step @p12 :rule cong :premises (@p11) :args ((forall @t10 (=> @t19 @t4)))) % 0.23/0.49 (step @p13 :rule trans :premises (@p12 @p10)) % 0.23/0.49 (step @p14 :rule refl :args (@t4)) % 0.23/0.49 (step @p15 :rule refl :args (@t18)) % 0.23/0.49 (step @p16 :rule refl :args (@t6)) % 0.23/0.49 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t6 @t18))) % 0.23/0.49 (step @p18 :rule symm :premises (@p17)) % 0.23/0.49 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.23/0.49 (step @p20 :rule cong :premises (@p19) :args (@t8)) % 0.23/0.49 (step @p21 :rule cong :premises (@p20 @p14) :args (@t9)) % 0.23/0.49 (step @p22 :rule cong :premises (@p21) :args (@t11)) % 0.23/0.49 (step @p23 :rule trans :premises (@p22 @p13)) % 0.23/0.49 (step @p24 :rule refl :args (@t12)) % 0.23/0.49 (step @p25 :rule cong :premises (@p24 @p23) :args (@t13)) % 0.23/0.49 (step @p26 :rule cong :premises (@p25) :args (@t15)) % 0.23/0.49 (step @p27 :rule cong :premises (@p26) :args (@t16)) % 0.23/0.49 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.23/0.49 (step @p29 :rule skolemize :premises (@p28)) % 0.23/0.49 (step @p30 :rule cnf_equiv_neg2 :args (@t27)) % 0.23/0.49 (step @p31 :rule refl :args (@t33)) % 0.23/0.49 (step @p32 :rule bool-double-not-elim :args (@t25)) % 0.23/0.49 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t34) @t33))) % 0.23/0.49 (assume-push @p104 @t34) % 0.23/0.49 (step @p35 :rule skolemize :premises (@p104)) % 0.23/0.49 (step-pop @p105 :rule scope :premises (@p35)) % 0.23/0.49 (step @p36 :rule process_scope :premises (@p105) :args (@t33)) % 0.23/0.49 (step @p38 :rule implies_elim :premises (@p36)) % 0.23/0.49 (step @p39 :rule eq_resolve :premises (@p38 @p33)) % 0.23/0.49 (step @p40 :rule bool-double-not-elim :args (@t30)) % 0.23/0.49 (step @p41 :rule refl :args (@t32)) % 0.23/0.49 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t32 (not @t31)))) % 0.23/0.49 (step @p43 :rule cnf_or_neg :args (@t32 0)) % 0.23/0.49 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.23/0.49 (step @p45 :rule reordering :premises (@p44) :args ((or @t30 @t32))) % 0.23/0.49 (step @p46 :rule cnf_or_neg :args (@t32 1)) % 0.23/0.49 (step @p47 :rule refl :args (@t36)) % 0.23/0.49 (step @p48 :rule bool-double-not-elim :args (@t29)) % 0.23/0.49 (step @p49 :rule refl :args (@t37)) % 0.23/0.49 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args ((or @t37 (not @t38) @t36))) % 0.23/0.49 (assume-push @p106 @t26) % 0.23/0.49 (assume-push @p107 @t38) % 0.23/0.49 (assume-push @p108 @t38) % 0.23/0.49 (assume-push @p109 @t26) % 0.23/0.49 (step @p55 :rule false_intro :premises (@p107)) % 0.23/0.49 (step @p56 :rule refl :args (@t24)) % 0.23/0.49 (step @p57 :rule cong :premises (@p56 @p106) :args (@t35)) % 0.23/0.49 (step @p58 :rule trans :premises (@p57 @p55)) % 0.23/0.49 (step @p59 :rule false_elim :premises (@p58)) % 0.23/0.49 (step-pop @p110 :rule scope :premises (@p59)) % 0.23/0.49 (step-pop @p111 :rule scope :premises (@p110)) % 0.23/0.49 (step @p60 :rule process_scope :premises (@p111) :args (@t36)) % 0.23/0.49 (step @p63 :rule and_intro :premises (@p107 @p106)) % 0.23/0.49 (step @p64 :rule modus_ponens :premises (@p63 @p60)) % 0.23/0.49 (step-pop @p112 :rule scope :premises (@p64)) % 0.23/0.49 (step-pop @p113 :rule scope :premises (@p112)) % 0.23/0.49 (step @p65 :rule process_scope :premises (@p113) :args (@t36)) % 0.23/0.49 (step @p68 :rule implies_elim :premises (@p65)) % 0.23/0.49 (step @p69 :rule cnf_and_neg :args (@t39)) % 0.23/0.49 (step @p70 :rule resolution :premises (@p69 @p68) :args (true @t39)) % 0.23/0.49 (step @p71 :rule eq_resolve :premises (@p70 @p50)) % 0.23/0.49 (assume-push @p114 @t30) % 0.23/0.49 (step @p73 :rule instantiate :premises (@p114) :args ((@list @t24))) % 0.23/0.49 (step-pop @p115 :rule scope :premises (@p73)) % 0.23/0.49 (step @p74 :rule process_scope :premises (@p115) :args (@t35)) % 0.23/0.49 (step @p76 :rule implies_elim :premises (@p74)) % 0.23/0.49 (step @p77 :rule chain_m_resolution :premises (@p76 @p71 @p46 @p45 @p39 @p30 @p29) :args (@t37 (@list true true false true true true) (@list @t35 @t29 @t30 @t32 @t25 @t27))) % 0.23/0.49 (step @p78 :rule cnf_equiv_neg1 :args (@t27)) % 0.23/0.49 (step @p79 :rule reordering :premises (@p78) :args ((or @t26 @t25 @t27))) % 0.23/0.49 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p29) :args (@t25 (@list true true) (@list @t26 @t27))) % 0.23/0.49 (step @p81 :rule aci_norm :args ((= (or false @t26) @t26))) % 0.23/0.49 (step @p82 :rule beta-reduce :args ((= @t43 @t26))) % 0.23/0.49 (step @p83 :rule evaluate :args ((not true))) % 0.23/0.49 (step @p84 :rule quant-unused-vars :args ((= (forall @t7 true) true))) % 0.23/0.49 (step @p85 :rule eq-refl :args (@t5)) % 0.23/0.49 (step @p86 :rule beta-reduce :args ((= @t44 (= @t5 @t5)))) % 0.23/0.49 (step @p87 :rule trans :premises (@p86 @p85)) % 0.23/0.49 (step @p88 :rule cong :premises (@p87) :args (@t45)) % 0.23/0.49 (step @p89 :rule trans :premises (@p88 @p84)) % 0.23/0.49 (step @p90 :rule cong :premises (@p89) :args (@t46)) % 0.23/0.49 (step @p91 :rule trans :premises (@p90 @p83)) % 0.23/0.49 (step @p92 :rule nary_cong :premises (@p91 @p82) :args (@t47)) % 0.23/0.49 (step @p93 :rule trans :premises (@p92 @p81)) % 0.23/0.49 (step @p94 :rule refl :args (@t25)) % 0.23/0.49 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t25 @t47))) % 0.23/0.49 (assume-push @p116 @t25) % 0.23/0.49 (step @p97 :rule instantiate :premises (@p116) :args ((@list @t42))) % 0.23/0.49 (step-pop @p117 :rule scope :premises (@p97)) % 0.23/0.49 (step @p98 :rule process_scope :premises (@p117) :args (@t47)) % 0.23/0.49 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 0.23/0.49 (step @p101 :rule implies_elim :premises (@p100)) % 0.23/0.49 (step @p102 :rule reordering :premises (@p101) :args ((or @t26 @t34))) % 0.23/0.49 (step @p103 false :rule chain_m_resolution :premises (@p102 @p80 @p77) :args (false (@list false true) (@list @t25 @t26))) % 0.23/0.49 ) % 0.23/0.49 % SZS output end Proof % 0.23/0.49 % cvc5 exiting %------------------------------------------------------------------------------