%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV429^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:55:57 AM UTC 2026 % Result : Theorem 16.74s 17.01s % Output : Proof 16.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV429^1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:32:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 16.74/17.01 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 16.74/17.01 % SZS status Theorem % 16.74/17.01 % SZS output start Proof % 16.74/17.01 ( % 16.74/17.01 (declare-sort $$unsorted 0) % 16.74/17.01 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 16.74/17.01 (define @t1 () (@var "Y" $$unsorted)) % 16.74/17.01 (define @t2 () (@var "X" $$unsorted)) % 16.74/17.01 (define @t3 () (= @t2 @t1)) % 16.74/17.01 (define @t4 () (_ tptp.f @t1)) % 16.74/17.01 (define @t5 () (_ tptp.f @t2)) % 16.74/17.01 (define @t6 () (= @t5 @t4)) % 16.74/17.01 (define @t7 () (@list @t2 @t1)) % 16.74/17.01 (define @t8 () (forall @t7 (=> @t6 @t3))) % 16.74/17.01 (define @t9 () (@var "G" (-> $$unsorted $$unsorted))) % 16.74/17.01 (define @t10 () (_ @t9 @t5)) % 16.74/17.01 (define @t11 () (@list @t2)) % 16.74/17.01 (define @t12 () (forall @t11 (= @t10 @t2))) % 16.74/17.01 (define @t13 () (@list @t9)) % 16.74/17.01 (define @t14 () (exists @t13 @t12)) % 16.74/17.01 (define @t15 () (not @t14)) % 16.74/17.01 (define @t16 () (tptp.f @t1)) % 16.74/17.01 (define @t17 () (tptp.f @t2)) % 16.74/17.01 (define @t18 () (not @t6)) % 16.74/17.01 (define @t19 () (or @t18 @t3)) % 16.74/17.01 (define @t20 () (@var "BOUND_VARIABLE_28469" $$unsorted)) % 16.74/17.01 (define @t21 () (@const 0 (-> $$unsorted $$unsorted))) % 16.74/17.01 (define @t22 () (_ @t21 @t20)) % 16.74/17.01 (define @t23 () (@var "x" $$unsorted)) % 16.74/17.01 (define @t24 () (tptp.f @t23)) % 16.74/17.01 (define @t25 () (@list @t23)) % 16.74/17.01 (define @t26 () (@list @t20)) % 16.74/17.01 (define @t27 () (forall @t26 (or (forall @t25 (not (= @t20 @t24))) (= @t20 (tptp.f @t22))))) % 16.74/17.01 (define @t28 () (_ @t21 @t17)) % 16.74/17.01 (define @t29 () (forall @t11 (= @t2 @t28))) % 16.74/17.01 (define @t30 () (@quantifiers_skolemize @t29 0)) % 16.74/17.01 (define @t31 () (tptp.f @t30)) % 16.74/17.01 (define @t32 () (_ @t21 @t31)) % 16.74/17.01 (define @t33 () (= @t31 (tptp.f @t32))) % 16.74/17.01 (define @t34 () (not (= @t31 @t24))) % 16.74/17.01 (define @t35 () (forall @t25 @t34)) % 16.74/17.01 (define @t36 () (or @t35 @t33)) % 16.74/17.01 (define @t37 () (forall @t25 (not (= @t24 @t31)))) % 16.74/17.01 (define @t38 () (or @t37 @t33)) % 16.74/17.01 (define @t39 () (@list false)) % 16.74/17.01 (define @t40 () (not (= @t31 @t31))) % 16.74/17.01 (define @t41 () (@list true false)) % 16.74/17.01 (define @t42 () (_ @t9 @t17)) % 16.74/17.01 (define @t43 () (forall @t11 (= @t2 @t42))) % 16.74/17.01 (define @t44 () (forall @t13 (not @t43))) % 16.74/17.01 (define @t45 () (= @t2 @t10)) % 16.74/17.01 (define @t46 () (lambda @t26 @t22)) % 16.74/17.01 (define @t47 () (_ @t46 @t17)) % 16.74/17.01 (define @t48 () (= @t2 @t47)) % 16.74/17.01 (define @t49 () (forall @t11 @t48)) % 16.74/17.01 (define @t50 () (not @t49)) % 16.74/17.01 (define @t51 () (= @t30 @t32)) % 16.74/17.01 (define @t52 () (not @t33)) % 16.74/17.01 (define @t53 () (or @t52 @t51)) % 16.74/17.01 (define @t54 () (not @t53)) % 16.74/17.01 (define @t55 () (forall @t7 (or (not (= @t17 @t16)) @t3))) % 16.74/17.01 (assume @p1 @t8) % 16.74/17.01 (assume @p2 @t15) % 16.74/17.01 (assume @p3 true) % 16.74/17.01 (step @p4 :rule refl :args (@t3)) % 16.74/17.01 (step @p5 :rule refl :args (@t16)) % 16.74/17.01 (step @p6 :rule refl :args (@t4)) % 16.74/17.01 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t16))) % 16.74/17.01 (step @p8 :rule symm :premises (@p7)) % 16.74/17.01 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 16.74/17.01 (step @p10 :rule refl :args (@t17)) % 16.74/17.01 (step @p11 :rule refl :args (@t5)) % 16.74/17.01 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t5 @t17))) % 16.74/17.01 (step @p13 :rule symm :premises (@p12)) % 16.74/17.01 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 16.74/17.01 (step @p15 :rule cong :premises (@p14 @p9) :args (@t6)) % 16.74/17.01 (step @p16 :rule cong :premises (@p15) :args (@t18)) % 16.74/17.01 (step @p17 :rule nary_cong :premises (@p16 @p4) :args (@t19)) % 16.74/17.01 (step @p18 :rule cong :premises (@p17) :args ((forall @t7 @t19))) % 16.74/17.01 (step @p19 :rule bool-impl-elim :args (@t6 @t3)) % 16.74/17.01 (step @p20 :rule cong :premises (@p19) :args (@t8)) % 16.74/17.01 (step @p21 :rule trans :premises (@p20 @p18)) % 16.74/17.01 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 16.74/17.01 ; WARNING: add trust step for TRUST % 16.74/17.01 ; trust TRUST THEORY_LEMMA % 16.74/17.01 (step @p23 :rule trust :premises () :args (@t27)) % 16.74/17.01 (step @p24 :rule refl :args (@t33)) % 16.74/17.01 (step @p25 :rule eq-symm :args (@t31 @t24)) % 16.74/17.01 (step @p26 :rule cong :premises (@p25) :args (@t34)) % 16.74/17.01 (step @p27 :rule cong :premises (@p26) :args (@t35)) % 16.74/17.01 (step @p28 :rule nary_cong :premises (@p27 @p24) :args (@t36)) % 16.74/17.01 (step @p29 :rule refl :args (@t27)) % 16.74/17.01 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t27 @t36))) % 16.74/17.01 (assume-push @p102 @t27) % 16.74/17.01 (step @p32 :rule instantiate :premises (@p23) :args ((@list @t31))) % 16.74/17.01 (step-pop @p103 :rule scope :premises (@p32)) % 16.74/17.01 (step @p33 :rule process_scope :premises (@p103) :args (@t36)) % 16.74/17.01 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 16.74/17.01 (step @p36 :rule implies_elim :premises (@p35)) % 16.74/17.01 (step @p37 :rule chain_m_resolution :premises (@p36 @p23) :args (@t38 @t39 (@list @t27))) % 16.74/17.02 (step @p38 :rule bool-impl-false1 :args (@t37)) % 16.74/17.02 (step @p39 :rule evaluate :args ((not true))) % 16.74/17.02 (step @p40 :rule eq-refl :args (@t31)) % 16.74/17.02 (step @p41 :rule cong :premises (@p40) :args (@t40)) % 16.74/17.02 (step @p42 :rule trans :premises (@p41 @p39)) % 16.74/17.02 (step @p43 :rule refl :args (@t37)) % 16.74/17.02 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t37 @t40))) % 16.74/17.02 (step @p45 :rule trans :premises (@p44 @p38)) % 16.74/17.02 (assume-push @p104 @t37) % 16.74/17.02 (step @p47 :rule instantiate :premises (@p104) :args ((@list @t30))) % 16.74/17.02 (step-pop @p105 :rule scope :premises (@p47)) % 16.74/17.02 (step @p48 :rule process_scope :premises (@p105) :args (@t40)) % 16.74/17.02 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 16.74/17.02 (step @p51 :rule cnf_or_pos :args (@t38)) % 16.74/17.02 (step @p52 :rule reordering :premises (@p51) :args ((or @t33 @t37 (not @t38)))) % 16.74/17.02 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p37) :args (@t33 @t41 (@list @t37 @t38))) % 16.74/17.02 (step @p54 :rule bool-double-not-elim :args (@t44)) % 16.74/17.02 (step @p55 :rule exists-elim :args ((= (exists @t13 @t43) (not @t44)))) % 16.74/17.02 (step @p56 :rule refl :args ((_ @t9 @t5))) % 16.74/17.02 (step @p57 :rule cong :premises (@p10) :args (@t42)) % 16.74/17.02 (step @p58 :rule trans :premises (@p57 @p56)) % 16.74/17.02 (step @p59 :rule refl :args (@t9)) % 16.74/17.02 (step @p60 :rule ho_cong :premises (@p59 @p10)) % 16.74/17.02 (step @p61 :rule cong :premises (@p60 @p58) :args ((= (_ @t9 @t17) @t42))) % 16.74/17.02 (step @p62 :rule symm :premises (@p61)) % 16.74/17.02 (step @p63 :rule refl :args (@t10)) % 16.74/17.02 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 16.74/17.02 (step @p65 :rule ho_cong :premises (@p59 @p14)) % 16.74/17.02 (step @p66 :rule trans :premises (@p65 @p64)) % 16.74/17.02 (step @p67 :rule refl :args (@t2)) % 16.74/17.02 (step @p68 :rule cong :premises (@p67 @p66) :args (@t45)) % 16.74/17.02 (step @p69 :rule cong :premises (@p68) :args ((forall @t11 @t45))) % 16.74/17.02 (step @p70 :rule eq-symm :args (@t10 @t2)) % 16.74/17.02 (step @p71 :rule cong :premises (@p70) :args (@t12)) % 16.74/17.02 (step @p72 :rule trans :premises (@p71 @p69)) % 16.74/17.02 (step @p73 :rule cong :premises (@p72) :args (@t14)) % 16.74/17.02 (step @p74 :rule trans :premises (@p73 @p55)) % 16.74/17.02 (step @p75 :rule cong :premises (@p74) :args (@t15)) % 16.74/17.02 (step @p76 :rule trans :premises (@p75 @p54)) % 16.74/17.02 (step @p77 :rule eq_resolve :premises (@p2 @p76)) % 16.74/17.02 (step @p78 :rule beta-reduce :args ((= @t47 @t28))) % 16.74/17.02 (step @p79 :rule refl :args (@t2)) % 16.74/17.02 (step @p80 :rule cong :premises (@p79 @p78) :args (@t48)) % 16.74/17.02 (step @p81 :rule cong :premises (@p80) :args (@t49)) % 16.74/17.02 (step @p82 :rule cong :premises (@p81) :args (@t50)) % 16.74/17.02 (step @p83 :rule refl :args (@t44)) % 16.74/17.02 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t44 @t50))) % 16.74/17.02 (assume-push @p106 @t44) % 16.74/17.02 (step @p86 :rule instantiate :premises (@p77) :args ((@list @t46))) % 16.74/17.02 (step-pop @p107 :rule scope :premises (@p86)) % 16.74/17.02 (step @p87 :rule process_scope :premises (@p107) :args (@t50)) % 16.74/17.02 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 16.74/17.02 (step @p90 :rule implies_elim :premises (@p89)) % 16.74/17.02 (step @p91 :rule chain_m_resolution :premises (@p90 @p77) :args ((not @t29) @t39 (@list @t44))) % 16.74/17.02 (step @p92 :rule skolemize :premises (@p91)) % 16.74/17.02 (step @p93 :rule cnf_or_pos :args (@t53)) % 16.74/17.02 (step @p94 :rule reordering :premises (@p93) :args ((or @t51 @t52 @t54))) % 16.74/17.02 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p53) :args (@t54 @t41 (@list @t51 @t33))) % 16.74/17.02 (assume-push @p108 @t55) % 16.74/17.02 (step @p97 :rule instantiate :premises (@p22) :args ((@list @t30 @t32))) % 16.74/17.02 (step-pop @p109 :rule scope :premises (@p97)) % 16.74/17.02 (step @p98 :rule process_scope :premises (@p109) :args (@t53)) % 16.74/17.02 (step @p100 :rule implies_elim :premises (@p98)) % 16.74/17.02 (step @p101 false :rule chain_m_resolution :premises (@p100 @p95 @p22) :args (false @t41 (@list @t53 @t55))) % 16.74/17.02 ) % 16.74/17.02 % SZS output end Proof % 16.74/17.02 % cvc5 exiting %------------------------------------------------------------------------------