%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO219^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:12:15 AM UTC 2026 % Result : Theorem 128.53s 128.71s % Output : Proof 128.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO219^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n016.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 : Wed Jun 3 00:01:24 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 128.53/128.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 128.53/128.71 --- 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... % 128.53/128.71 --- 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... % 128.53/128.71 % SZS status Theorem % 128.53/128.71 % SZS output start Proof % 128.53/128.71 ( % 128.53/128.71 (declare-sort $$unsorted 0) % 128.53/128.71 (declare-const tptp.cS (-> $$unsorted $$unsorted)) % 128.53/128.71 (define @t1 () (@var "F" (-> $$unsorted $$unsorted))) % 128.53/128.71 (define @t2 () (@var "J" $$unsorted)) % 128.53/128.71 (define @t3 () (@var "G" (-> $$unsorted $$unsorted $$unsorted))) % 128.53/128.71 (define @t4 () (_ @t3 @t2)) % 128.53/128.71 (define @t5 () (@list @t2)) % 128.53/128.71 (define @t6 () (exists @t5 (= @t4 @t1))) % 128.53/128.71 (define @t7 () (@list @t1)) % 128.53/128.71 (define @t8 () (forall @t7 @t6)) % 128.53/128.71 (define @t9 () (@list @t3)) % 128.53/128.71 (define @t10 () (exists @t9 @t8)) % 128.53/128.71 (define @t11 () (not @t10)) % 128.53/128.71 (define @t12 () (@var "M" $$unsorted)) % 128.53/128.71 (define @t13 () (_ tptp.cS @t12)) % 128.53/128.71 (define @t14 () (not (= @t13 @t12))) % 128.53/128.71 (define @t15 () (@list @t12)) % 128.53/128.71 (define @t16 () (forall @t15 @t14)) % 128.53/128.71 (define @t17 () (=> @t16 @t11)) % 128.53/128.71 (define @t18 () (not @t17)) % 128.53/128.71 (define @t19 () (= @t1 @t4)) % 128.53/128.71 (define @t20 () (not (forall @t5 (not @t19)))) % 128.53/128.71 (define @t21 () (forall @t7 @t20)) % 128.53/128.71 (define @t22 () (forall @t9 (not @t21))) % 128.53/128.71 (define @t23 () (not @t22)) % 128.53/128.71 (define @t24 () (tptp.cS @t12)) % 128.53/128.71 (define @t25 () (= @t12 @t13)) % 128.53/128.71 (define @t26 () (not @t25)) % 128.53/128.71 (define @t27 () (@var "BOUND_VARIABLE_21577" $$unsorted)) % 128.53/128.71 (define @t28 () (@quantifiers_skolemize @t22 0)) % 128.53/128.71 (define @t29 () (tptp.cS (_ @t28 @t27 @t27))) % 128.53/128.71 (define @t30 () (@list @t27)) % 128.53/128.71 (define @t31 () (lambda @t30 @t29)) % 128.53/128.71 (define @t32 () (@purify @t31)) % 128.53/128.71 (define @t33 () (_ @t32 @t27)) % 128.53/128.71 (define @t34 () (_ @t31 @t27)) % 128.53/128.71 (define @t35 () (= @t33 @t34)) % 128.53/128.71 (define @t36 () (forall @t30 @t35)) % 128.53/128.71 (define @t37 () (_ @t28 @t2)) % 128.53/128.71 (define @t38 () (forall @t5 (not (= @t37 @t31)))) % 128.53/128.71 (define @t39 () (@quantifiers_skolemize @t38 0)) % 128.53/128.71 (define @t40 () (forall @t7 (not (forall @t5 (not (= @t1 @t37)))))) % 128.53/128.71 (define @t41 () (not (not @t40))) % 128.53/128.71 (define @t42 () (@list true)) % 128.53/128.71 (define @t43 () (not (= @t31 @t37))) % 128.53/128.71 (define @t44 () (forall @t5 @t43)) % 128.53/128.71 (define @t45 () (not @t44)) % 128.53/128.71 (define @t46 () (not @t38)) % 128.53/128.71 (define @t47 () (_ @t28 @t39)) % 128.53/128.71 (define @t48 () (= @t47 @t32)) % 128.53/128.71 (define @t49 () (= @t31 @t47)) % 128.53/128.71 (define @t50 () (= @t47 @t31)) % 128.53/128.71 (define @t51 () (not (not @t50))) % 128.53/128.71 (define @t52 () (_ @t28 @t39 @t39)) % 128.53/128.71 (define @t53 () (tptp.cS @t52)) % 128.53/128.71 (define @t54 () (forall @t15 (not (= @t12 @t24)))) % 128.53/128.71 (define @t55 () (= @t53 (tptp.cS @t53))) % 128.53/128.71 (assume @p1 @t18) % 128.53/128.71 (assume @p2 true) % 128.53/128.71 (step @p3 :rule bool-double-not-elim :args (@t22)) % 128.53/128.71 (step @p4 :rule exists-elim :args ((= (exists @t9 @t21) @t23))) % 128.53/128.71 (step @p5 :rule exists-elim :args ((= (exists @t5 @t19) @t20))) % 128.53/128.71 (step @p6 :rule eq-symm :args (@t4 @t1)) % 128.53/128.71 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 128.53/128.71 (step @p8 :rule trans :premises (@p7 @p5)) % 128.53/128.71 (step @p9 :rule cong :premises (@p8) :args (@t8)) % 128.53/128.71 (step @p10 :rule cong :premises (@p9) :args (@t10)) % 128.53/128.71 (step @p11 :rule trans :premises (@p10 @p4)) % 128.53/128.71 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 128.53/128.71 (step @p13 :rule trans :premises (@p12 @p3)) % 128.53/128.71 (step @p14 :rule refl :args (@t24)) % 128.53/128.71 (step @p15 :rule refl :args (@t13)) % 128.53/128.71 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t13 @t24))) % 128.53/128.71 (step @p17 :rule symm :premises (@p16)) % 128.53/128.71 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 128.53/128.71 (step @p19 :rule refl :args (@t12)) % 128.53/128.71 (step @p20 :rule cong :premises (@p19 @p18) :args (@t25)) % 128.53/128.71 (step @p21 :rule cong :premises (@p20) :args (@t26)) % 128.53/128.71 (step @p22 :rule cong :premises (@p21) :args ((forall @t15 @t26))) % 128.53/128.71 (step @p23 :rule eq-symm :args (@t13 @t12)) % 128.53/128.71 (step @p24 :rule cong :premises (@p23) :args (@t14)) % 128.53/128.71 (step @p25 :rule cong :premises (@p24) :args (@t16)) % 128.53/128.71 (step @p26 :rule trans :premises (@p25 @p22)) % 128.53/128.71 (step @p27 :rule cong :premises (@p26 @p13) :args (@t17)) % 128.53/128.71 (step @p28 :rule cong :premises (@p27) :args (@t18)) % 128.53/128.71 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 128.53/128.71 (step @p30 :rule not_implies_elim1 :premises (@p29)) % 128.53/128.71 (step @p31 :rule eq-symm :args (@t33 @t29)) % 128.53/128.71 (step @p32 :rule beta-reduce :args ((= @t34 @t29))) % 128.53/128.71 (step @p33 :rule refl :args (@t33)) % 128.53/128.71 (step @p34 :rule cong :premises (@p33 @p32) :args (@t35)) % 128.53/128.71 (step @p35 :rule trans :premises (@p34 @p31)) % 128.53/128.71 (step @p36 :rule cong :premises (@p35) :args (@t36)) % 128.53/128.71 (step @p37 :rule quant-unused-vars :args ((= (forall @t30 true) true))) % 128.53/128.71 (step @p38 :rule eq-refl :args (@t34)) % 128.53/128.71 (step @p39 :rule cong :premises (@p38) :args ((forall @t30 (= @t34 @t34)))) % 128.53/128.71 (step @p40 :rule trans :premises (@p39 @p37)) % 128.53/128.71 (step @p41 :rule refl :args (@t34)) % 128.53/128.71 (step @p42 :rule refl :args (@t27)) % 128.53/128.71 (step @p43 :rule skolem_intro :args (@t32)) % 128.53/128.71 (step @p44 :rule ho_cong :premises (@p43 @p42)) % 128.53/128.71 (step @p45 :rule cong :premises (@p44 @p41) :args (@t35)) % 128.53/128.71 (step @p46 :rule cong :premises (@p45) :args (@t36)) % 128.53/128.71 (step @p47 :rule trans :premises (@p46 @p40)) % 128.53/128.71 (step @p48 :rule true_elim :premises (@p47)) % 128.53/128.71 (step @p49 :rule eq_resolve :premises (@p48 @p36)) % 128.53/128.71 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t39))) % 128.53/128.71 (step @p51 :rule symm :premises (@p50)) % 128.53/128.71 (step @p52 :rule refl :args ((_ @t32 @t39))) % 128.53/128.71 (step @p53 :rule symm :premises (@p52)) % 128.53/128.71 (step @p54 :rule refl :args (@t39)) % 128.53/128.71 (step @p55 :rule not_implies_elim2 :premises (@p29)) % 128.53/128.71 (step @p56 :rule refl :args (@t40)) % 128.53/128.71 (step @p57 :rule nary_cong :premises (@p3 @p56) :args ((or (not @t23) @t40))) % 128.53/128.71 (step @p58 :rule bool-double-not-elim :args (@t40)) % 128.53/128.71 (step @p59 :rule refl :args (@t23)) % 128.53/128.71 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t23 @t41))) % 128.53/128.71 (assume-push @p118 @t23) % 128.53/128.71 (step @p62 :rule skolemize :premises (@p55)) % 128.53/128.71 (step-pop @p119 :rule scope :premises (@p62)) % 128.53/128.71 (step @p63 :rule process_scope :premises (@p119) :args (@t41)) % 128.53/128.71 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 128.53/128.71 (step @p66 :rule implies_elim :premises (@p65)) % 128.53/128.71 (step @p67 :rule eq_resolve :premises (@p66 @p57)) % 128.53/128.71 (step @p68 :rule chain_m_resolution :premises (@p67 @p55) :args (@t40 @t42 (@list @t22))) % 128.53/128.71 (step @p69 :rule eq-symm :args (@t31 @t37)) % 128.53/128.71 (step @p70 :rule cong :premises (@p69) :args (@t43)) % 128.53/128.71 (step @p71 :rule cong :premises (@p70) :args (@t44)) % 128.53/128.71 (step @p72 :rule cong :premises (@p71) :args (@t45)) % 128.53/128.71 (step @p73 :rule cong :premises (@p56 @p72) :args ((=> @t40 @t45))) % 128.53/128.71 (assume-push @p120 @t40) % 128.53/128.71 (step @p75 :rule instantiate :premises (@p68) :args ((@list @t31))) % 128.53/128.71 (step-pop @p121 :rule scope :premises (@p75)) % 128.53/128.71 (step @p76 :rule process_scope :premises (@p121) :args (@t45)) % 128.53/128.71 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 128.53/128.71 (step @p79 :rule implies_elim :premises (@p78)) % 128.53/128.71 (step @p80 :rule chain_m_resolution :premises (@p79 @p68) :args (@t46 (@list false) (@list @t40))) % 128.53/128.71 (step @p81 :rule refl :args (@t48)) % 128.53/128.71 (step @p82 :rule bool-double-not-elim :args (@t38)) % 128.53/128.71 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t46) @t48))) % 128.53/128.71 (step @p84 :rule eq-symm :args (@t32 @t47)) % 128.53/128.71 (step @p85 :rule refl :args (@t47)) % 128.53/128.71 (step @p86 :rule eq-refl :args (@t31)) % 128.53/128.71 (step @p87 :rule refl :args (@t31)) % 128.53/128.71 (step @p88 :rule cong :premises (@p87 @p43) :args ((= @t31 @t32))) % 128.53/128.71 (step @p89 :rule trans :premises (@p88 @p86)) % 128.53/128.71 (step @p90 :rule true_elim :premises (@p89)) % 128.53/128.71 (step @p91 :rule cong :premises (@p90 @p85) :args (@t49)) % 128.53/128.71 (step @p92 :rule trans :premises (@p91 @p84)) % 128.53/128.71 (step @p93 :rule refl :args (@t46)) % 128.53/128.71 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t46 @t49))) % 128.53/128.71 (step @p95 :rule eq-symm :args (@t47 @t31)) % 128.53/128.71 (step @p96 :rule bool-double-not-elim :args (@t50)) % 128.53/128.71 (step @p97 :rule trans :premises (@p96 @p95)) % 128.53/128.71 (step @p98 :rule cong :premises (@p93 @p97) :args ((=> @t46 @t51))) % 128.53/128.71 (step @p99 :rule trans :premises (@p98 @p94)) % 128.53/128.71 (assume-push @p122 @t46) % 128.53/128.71 (step @p101 :rule skolemize :premises (@p80)) % 128.53/128.71 (step-pop @p123 :rule scope :premises (@p101)) % 128.53/128.71 (step @p102 :rule process_scope :premises (@p123) :args (@t51)) % 128.53/128.71 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 128.53/128.71 (step @p105 :rule implies_elim :premises (@p104)) % 128.53/128.71 (step @p106 :rule eq_resolve :premises (@p105 @p83)) % 128.53/128.71 (step @p107 :rule chain_m_resolution :premises (@p106 @p80) :args (@t48 @t42 (@list @t38))) % 128.53/128.71 (step @p108 :rule ho_cong :premises (@p107 @p54)) % 128.53/128.71 (step @p109 :rule refl :args (@t52)) % 128.53/128.71 (step @p110 :rule trans :premises (@p109 @p108 @p53 @p51)) % 128.53/128.71 (step @p111 :rule cong :premises (@p110) :args (@t53)) % 128.53/128.72 (assume-push @p124 @t54) % 128.53/128.72 (step @p113 :rule instantiate :premises (@p30) :args ((@list @t53))) % 128.53/128.72 (step-pop @p125 :rule scope :premises (@p113)) % 128.53/128.72 (step @p114 :rule process_scope :premises (@p125) :args ((not @t55))) % 128.53/128.72 (step @p116 :rule implies_elim :premises (@p114)) % 128.53/128.72 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p30) :args (false (@list false false) (@list @t55 @t54))) % 128.53/128.72 ) % 128.53/128.72 % SZS output end Proof % 128.53/128.72 % cvc5 exiting %------------------------------------------------------------------------------