%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV116^5 : TPTP v9.2.1. Bugfixed 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 : n028.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 08:55:28 AM UTC 2026 % Result : Theorem 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV116^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 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 : n028.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 18:14:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.35/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.cS (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.35/0.56 (declare-const tptp.y $$unsorted) % 0.35/0.56 (declare-const tptp.x $$unsorted) % 0.35/0.56 (define tptp.cSTRANGE_HO_ABBR () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xp" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" (-> (-> $$unsorted $$unsorted Bool) Bool)))) (lambda (@list _let_4 _let_1 _let_2) (forall (@list _let_3) (=> (and (_ _let_4 _let_3) (_ (_ _let_3 _let_1) _let_2)) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.35/0.56 (define @t1 () (_ tptp.cSTRANGE_HO_ABBR tptp.cS)) % 0.35/0.56 (define @t2 () (and (_ tptp.cS @t1) (_ (_ @t1 tptp.x) tptp.y))) % 0.35/0.56 (define @t3 () (=> @t2 (_ (_ @t1 tptp.y) tptp.x))) % 0.35/0.56 (define @t4 () (not @t3)) % 0.35/0.56 (define @t5 () (@var "Xx" $$unsorted)) % 0.35/0.56 (define @t6 () (@var "Xy" $$unsorted)) % 0.35/0.56 (define @t7 () (@var "Xp" (-> $$unsorted $$unsorted Bool))) % 0.35/0.56 (define @t8 () (_ (_ @t7 @t6) @t5)) % 0.35/0.56 (define @t9 () (_ (_ @t7 @t5) @t6)) % 0.35/0.56 (define @t10 () (@var "S" (-> (-> $$unsorted $$unsorted Bool) Bool))) % 0.35/0.56 (define @t11 () (_ @t10 @t7)) % 0.35/0.56 (define @t12 () (and @t11 @t9)) % 0.35/0.56 (define @t13 () (@list @t7)) % 0.35/0.56 (define @t14 () (forall @t13 (=> @t12 @t8))) % 0.35/0.56 (define @t15 () (@list @t10 @t5 @t6)) % 0.35/0.56 (define @t16 () (lambda @t15 @t14)) % 0.35/0.56 (define @t17 () (_ @t7 tptp.x tptp.y)) % 0.35/0.56 (define @t18 () (_ @t7 tptp.y tptp.x)) % 0.35/0.56 (define @t19 () (not (tptp.cS @t7))) % 0.35/0.56 (define @t20 () (forall @t13 (or @t19 (not @t18) @t17))) % 0.35/0.56 (define @t21 () (forall @t13 (or @t19 (not @t17) @t18))) % 0.35/0.56 (define @t22 () (_ @t7 @t6 @t5)) % 0.35/0.56 (define @t23 () (_ @t7 @t5 @t6)) % 0.35/0.56 (define @t24 () (not @t23)) % 0.35/0.56 (define @t25 () (forall @t13 (or @t19 @t24 @t22))) % 0.35/0.56 (define @t26 () (@list @t5 @t6)) % 0.35/0.56 (define @t27 () (lambda @t26 @t25)) % 0.35/0.56 (define @t28 () (@purify @t27)) % 0.35/0.56 (define @t29 () (tptp.cS @t28)) % 0.35/0.56 (define @t30 () (_ tptp.cS @t28)) % 0.35/0.56 (define @t31 () (and (_ tptp.cS @t27) @t21)) % 0.35/0.56 (define @t32 () (=> @t31 @t20)) % 0.35/0.56 (define @t33 () (@list @t6)) % 0.35/0.56 (define @t34 () (lambda @t33 (forall @t13 (or @t19 (not (_ @t7 tptp.y @t6)) (_ @t7 @t6 tptp.y))))) % 0.35/0.56 (define @t35 () (_ @t10 @t7)) % 0.35/0.56 (define @t36 () (_ (lambda @t15 (forall @t13 (or (not @t35) @t24 @t22))) tptp.cS)) % 0.35/0.56 (define @t37 () (lambda @t33 (forall @t13 (or @t19 (not (_ @t7 tptp.x @t6)) (_ @t7 @t6 tptp.x))))) % 0.35/0.56 (define @t38 () (and (_ tptp.cS @t36) (_ (_ @t36 tptp.x) tptp.y))) % 0.35/0.56 (define @t39 () (=> @t38 (_ (_ @t36 tptp.y) tptp.x))) % 0.35/0.56 (define @t40 () (not @t9)) % 0.35/0.56 (define @t41 () (not @t11)) % 0.35/0.56 (define @t42 () (or @t41 @t40 @t8)) % 0.35/0.56 (define @t43 () (_ @t28 @t5 @t6)) % 0.35/0.56 (define @t44 () (_ @t27 @t5 @t6)) % 0.35/0.56 (define @t45 () (= @t43 @t44)) % 0.35/0.56 (define @t46 () (forall @t26 @t45)) % 0.35/0.56 (define @t47 () (_ @t28 tptp.x tptp.y)) % 0.35/0.56 (define @t48 () (= @t21 @t47)) % 0.35/0.56 (define @t49 () (_ @t28 tptp.y tptp.x)) % 0.35/0.56 (define @t50 () (= @t20 @t49)) % 0.35/0.56 (define @t51 () (not @t49)) % 0.35/0.56 (define @t52 () (not @t47)) % 0.35/0.56 (define @t53 () (not @t29)) % 0.35/0.56 (define @t54 () (or @t53 @t52 @t49)) % 0.35/0.56 (assume @p1 @t4) % 0.35/0.56 (assume @p2 true) % 0.35/0.56 (step @p3 (= tptp.cSTRANGE_HO_ABBR @t16) :rule refl :args (@t16)) % 0.35/0.56 (step @p4 :rule refl :args (@t20)) % 0.35/0.56 (step @p5 :rule refl :args (@t21)) % 0.35/0.56 (step @p6 :rule refl :args (@t29)) % 0.35/0.56 (step @p7 :rule refl :args (@t30)) % 0.35/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t30 @t29))) % 0.35/0.56 (step @p9 :rule symm :premises (@p8)) % 0.35/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.35/0.56 (step @p11 :rule eq-refl :args (@t27)) % 0.35/0.56 (step @p12 :rule skolem_intro :args (@t28)) % 0.35/0.56 (step @p13 :rule refl :args (@t27)) % 0.35/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t27 @t28))) % 0.35/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.35/0.56 (step @p16 :rule true_elim :premises (@p15)) % 0.35/0.56 (step @p17 :rule refl :args (tptp.cS)) % 0.35/0.56 (step @p18 :rule ho_cong :premises (@p17 @p16)) % 0.35/0.56 (step @p19 :rule trans :premises (@p18 @p10)) % 0.35/0.56 (step @p20 :rule nary_cong :premises (@p19 @p5) :args (@t31)) % 0.35/0.56 (step @p21 :rule cong :premises (@p20 @p4) :args (@t32)) % 0.35/0.56 (step @p22 :rule cong :premises (@p21) :args ((not @t32))) % 0.35/0.56 (step @p23 :rule beta-reduce :args ((= (_ @t34 tptp.x) @t20))) % 0.35/0.56 (step @p24 :rule refl :args (tptp.x)) % 0.35/0.56 (step @p25 :rule beta-reduce :args ((= (_ @t27 tptp.y) @t34))) % 0.35/0.56 (step @p26 :rule refl :args (tptp.y)) % 0.35/0.56 (step @p27 :rule beta-reduce :args ((= @t36 @t27))) % 0.35/0.56 (step @p28 :rule ho_cong :premises (@p27 @p26)) % 0.35/0.56 (step @p29 :rule trans :premises (@p28 @p25)) % 0.35/0.56 (step @p30 :rule ho_cong :premises (@p29 @p24)) % 0.35/0.56 (step @p31 :rule trans :premises (@p30 @p23)) % 0.35/0.56 (step @p32 :rule beta-reduce :args ((= (_ @t37 tptp.y) @t21))) % 0.35/0.56 (step @p33 :rule beta-reduce :args ((= (_ @t27 tptp.x) @t37))) % 0.35/0.56 (step @p34 :rule ho_cong :premises (@p27 @p24)) % 0.35/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.35/0.56 (step @p36 :rule ho_cong :premises (@p35 @p26)) % 0.35/0.56 (step @p37 :rule trans :premises (@p36 @p32)) % 0.35/0.56 (step @p38 :rule ho_cong :premises (@p17 @p27)) % 0.35/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t38)) % 0.35/0.56 (step @p40 :rule cong :premises (@p39 @p31) :args (@t39)) % 0.35/0.56 (step @p41 :rule cong :premises (@p40) :args ((not @t39))) % 0.35/0.56 (step @p42 :rule refl :args (@t22)) % 0.35/0.56 (step @p43 :rule refl :args (@t8)) % 0.35/0.56 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t8 @t22))) % 0.35/0.56 (step @p45 :rule symm :premises (@p44)) % 0.35/0.56 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.35/0.56 (step @p47 :rule refl :args (@t23)) % 0.35/0.56 (step @p48 :rule refl :args (@t9)) % 0.35/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t9 @t23))) % 0.35/0.56 (step @p50 :rule symm :premises (@p49)) % 0.35/0.56 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.35/0.56 (step @p52 :rule cong :premises (@p51) :args (@t40)) % 0.35/0.56 (step @p53 :rule refl :args (@t35)) % 0.35/0.56 (step @p54 :rule refl :args (@t11)) % 0.35/0.56 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t11 @t35))) % 0.35/0.56 (step @p56 :rule symm :premises (@p55)) % 0.35/0.56 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.35/0.56 (step @p58 :rule cong :premises (@p57) :args (@t41)) % 0.35/0.56 (step @p59 :rule nary_cong :premises (@p58 @p52 @p46) :args (@t42)) % 0.35/0.56 (step @p60 :rule cong :premises (@p59) :args ((forall @t13 @t42))) % 0.35/0.56 (step @p61 :rule aci_norm :args ((= (or (or @t41 @t40) @t8) @t42))) % 0.35/0.56 (step @p62 :rule bool-and-de-morgan :args (@t11 @t9 true)) % 0.35/0.56 (step @p63 :rule nary_cong :premises (@p62 @p43) :args ((or (not @t12) @t8))) % 0.35/0.56 (step @p64 :rule trans :premises (@p63 @p61)) % 0.35/0.56 (step @p65 :rule bool-impl-elim :args (@t12 @t8)) % 0.35/0.56 (step @p66 :rule trans :premises (@p65 @p64)) % 0.35/0.56 (step @p67 :rule cong :premises (@p66) :args (@t14)) % 0.35/0.56 (step @p68 :rule trans :premises (@p67 @p60)) % 0.35/0.56 (step @p69 :rule cong :premises (@p68) :args (@t16)) % 0.35/0.56 (step @p70 :rule trans :premises (@p3 @p69)) % 0.35/0.56 (step @p71 :rule ho_cong :premises (@p70 @p17)) % 0.35/0.56 (step @p72 :rule ho_cong :premises (@p71 @p26)) % 0.35/0.56 (step @p73 :rule ho_cong :premises (@p72 @p24)) % 0.35/0.56 (step @p74 :rule ho_cong :premises (@p71 @p24)) % 0.35/0.56 (step @p75 :rule ho_cong :premises (@p74 @p26)) % 0.35/0.56 (step @p76 :rule ho_cong :premises (@p17 @p71)) % 0.35/0.56 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t2)) % 0.35/0.56 (step @p78 :rule cong :premises (@p77 @p73) :args (@t3)) % 0.35/0.56 (step @p79 :rule cong :premises (@p78) :args (@t4)) % 0.35/0.56 (step @p80 :rule trans :premises (@p79 @p41)) % 0.35/0.56 (step @p81 :rule trans :premises (@p80 @p22)) % 0.35/0.56 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.35/0.56 (step @p83 :rule not_implies_elim1 :premises (@p82)) % 0.35/0.56 (step @p84 :rule and_elim :premises (@p83) :args (0)) % 0.35/0.56 (step @p85 :rule and_elim :premises (@p83) :args (1)) % 0.35/0.56 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t28))) % 0.35/0.56 (step @p87 :rule eq-symm :args (@t43 @t25)) % 0.35/0.56 (step @p88 :rule beta-reduce :args ((= @t44 @t25))) % 0.35/0.56 (step @p89 :rule refl :args (@t43)) % 0.35/0.56 (step @p90 :rule cong :premises (@p89 @p88) :args (@t45)) % 0.35/0.56 (step @p91 :rule trans :premises (@p90 @p87)) % 0.35/0.56 (step @p92 :rule cong :premises (@p91) :args (@t46)) % 0.35/0.56 (step @p93 :rule quant-unused-vars :args ((= (forall @t26 true) true))) % 0.35/0.56 (step @p94 :rule eq-refl :args (@t44)) % 0.35/0.56 (step @p95 :rule cong :premises (@p94) :args ((forall @t26 (= @t44 @t44)))) % 0.35/0.56 (step @p96 :rule trans :premises (@p95 @p93)) % 0.35/0.56 (step @p97 :rule refl :args (@t44)) % 0.35/0.56 (step @p98 :rule refl :args (@t6)) % 0.35/0.56 (step @p99 :rule refl :args (@t5)) % 0.35/0.56 (step @p100 :rule ho_cong :premises (@p12 @p99 @p98)) % 0.35/0.56 (step @p101 :rule cong :premises (@p100 @p97) :args (@t45)) % 0.35/0.56 (step @p102 :rule cong :premises (@p101) :args (@t46)) % 0.35/0.56 (step @p103 :rule trans :premises (@p102 @p96)) % 0.35/0.56 (step @p104 :rule true_elim :premises (@p103)) % 0.35/0.56 (step @p105 :rule eq_resolve :premises (@p104 @p92)) % 0.35/0.57 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.x tptp.y))) % 0.35/0.57 (step @p107 :rule cnf_equiv_pos1 :args (@t48)) % 0.35/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or (not @t21) @t47 (not @t48)))) % 0.35/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p85 @p106) :args (@t47 (@list false false) (@list @t21 @t48))) % 0.35/0.57 (step @p110 :rule instantiate :premises (@p105) :args ((@list tptp.y tptp.x))) % 0.35/0.57 (step @p111 :rule not_implies_elim2 :premises (@p82)) % 0.35/0.57 (step @p112 :rule cnf_equiv_pos2 :args (@t50)) % 0.35/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t20 @t51 (not @t50)))) % 0.35/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p110) :args (@t51 (@list true false) (@list @t20 @t50))) % 0.35/0.57 (step @p115 :rule cnf_or_pos :args (@t54)) % 0.35/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t53 @t52 @t49 (not @t54)))) % 0.35/0.57 (step @p117 false :rule chain_m_resolution :premises (@p116 @p114 @p109 @p86 @p84) :args (false (@list true false false false) (@list @t49 @t47 @t54 @t29))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------