%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO379^5 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO379^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.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 00:06:08 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.c $$unsorted) % 0.32/0.57 (define tptp.cQDP0 () (let ((_let_1 (@var "Xz" $$unsorted))) (lambda (@list _let_1) (= _let_1 tptp.c)))) % 0.32/0.57 (define tptp.cQDP1 () (let ((_let_1 (@var "Xt" $$unsorted))) (let ((_let_2 (@var "Xz" (-> $$unsorted Bool)))) (lambda (@list _let_2) (and (= _let_2 tptp.cQDP0) (exists (@list _let_1) (_ _let_2 _let_1))))))) % 0.32/0.57 (define @t1 () (@var "Xs" (-> $$unsorted Bool))) % 0.32/0.57 (define @t2 () (@list @t1)) % 0.32/0.57 (define @t3 () (exists @t2 (_ tptp.cQDP1 @t1))) % 0.32/0.57 (define @t4 () (not @t3)) % 0.32/0.57 (define @t5 () (@var "Xz" $$unsorted)) % 0.32/0.57 (define @t6 () (@list @t5)) % 0.32/0.57 (define @t7 () (lambda @t6 (= @t5 tptp.c))) % 0.32/0.57 (define @t8 () (@var "Xt" $$unsorted)) % 0.32/0.57 (define @t9 () (@var "Xz" (-> $$unsorted Bool))) % 0.32/0.57 (define @t10 () (_ @t9 @t8)) % 0.32/0.57 (define @t11 () (@list @t8)) % 0.32/0.57 (define @t12 () (exists @t11 @t10)) % 0.32/0.57 (define @t13 () (= @t9 tptp.cQDP0)) % 0.32/0.57 (define @t14 () (and @t13 @t12)) % 0.32/0.57 (define @t15 () (@list @t9)) % 0.32/0.57 (define @t16 () (lambda @t15 @t14)) % 0.32/0.57 (define @t17 () (not (= tptp.c tptp.c))) % 0.32/0.57 (define @t18 () (@var "BOUND_VARIABLE_7481" $$unsorted)) % 0.32/0.57 (define @t19 () (= tptp.c @t18)) % 0.32/0.57 (define @t20 () (not @t19)) % 0.32/0.57 (define @t21 () (@list @t18)) % 0.32/0.57 (define @t22 () (or @t20 @t20)) % 0.32/0.57 (define @t23 () (lambda @t6 (= tptp.c @t5))) % 0.32/0.57 (define @t24 () (_ @t23 @t18)) % 0.32/0.57 (define @t25 () (not @t24)) % 0.32/0.57 (define @t26 () (not (= @t23 @t23))) % 0.32/0.57 (define @t27 () (or @t26 @t25)) % 0.32/0.57 (define @t28 () (not (_ @t1 @t18))) % 0.32/0.57 (define @t29 () (= @t23 @t1)) % 0.32/0.57 (define @t30 () (not @t29)) % 0.32/0.57 (define @t31 () (or @t30 @t30 @t28)) % 0.32/0.57 (define @t32 () (or @t30 @t28)) % 0.32/0.57 (define @t33 () (forall @t2 @t32)) % 0.32/0.57 (define @t34 () (forall @t21 @t33)) % 0.32/0.57 (define @t35 () (forall (@list @t18 @t1) @t32)) % 0.32/0.57 (define @t36 () (forall (@list @t1 @t18) @t32)) % 0.32/0.57 (define @t37 () (forall @t21 @t32)) % 0.32/0.57 (define @t38 () (forall @t21 @t28)) % 0.32/0.57 (define @t39 () (or @t30 @t38)) % 0.32/0.57 (define @t40 () (forall @t11 (not (_ @t1 @t8)))) % 0.32/0.57 (define @t41 () (not @t40)) % 0.32/0.57 (define @t42 () (and @t29 @t41)) % 0.32/0.57 (define @t43 () (forall @t2 (not @t42))) % 0.32/0.57 (define @t44 () (not @t43)) % 0.32/0.57 (define @t45 () (_ @t9 @t8)) % 0.32/0.57 (define @t46 () (_ (lambda @t15 (and (= @t23 @t9) (not (forall @t11 (not @t45))))) @t1)) % 0.32/0.57 (define @t47 () (exists @t2 @t46)) % 0.32/0.57 (define @t48 () (not @t10)) % 0.32/0.57 (define @t49 () (forall @t11 @t48)) % 0.32/0.57 (define @t50 () (not @t49)) % 0.32/0.57 (assume @p1 @t4) % 0.32/0.57 (assume @p2 true) % 0.32/0.57 (step @p3 (= tptp.cQDP0 @t7) :rule refl :args (@t7)) % 0.32/0.57 (step @p4 (= tptp.cQDP1 @t16) :rule refl :args (@t16)) % 0.32/0.57 (step @p5 :rule evaluate :args ((not true))) % 0.32/0.57 (step @p6 :rule evaluate :args ((not false))) % 0.32/0.57 (step @p7 :rule eq-refl :args (tptp.c)) % 0.32/0.57 (step @p8 :rule cong :premises (@p7) :args (@t17)) % 0.32/0.57 (step @p9 :rule trans :premises (@p8 @p5)) % 0.32/0.57 (step @p10 :rule quant-var-elim-eq :args ((= (forall @t21 (or (not (= @t18 tptp.c)) @t20)) @t17))) % 0.32/0.57 (step @p11 :rule refl :args (@t20)) % 0.32/0.57 (step @p12 :rule eq-symm :args (tptp.c @t18)) % 0.32/0.57 (step @p13 :rule cong :premises (@p12) :args (@t20)) % 0.32/0.57 (step @p14 :rule nary_cong :premises (@p13 @p11) :args (@t22)) % 0.32/0.57 (step @p15 :rule aci_norm :args ((= @t20 @t22))) % 0.32/0.57 (step @p16 :rule trans :premises (@p15 @p14)) % 0.32/0.57 (step @p17 :rule cong :premises (@p16) :args ((forall @t21 @t20))) % 0.32/0.57 (step @p18 :rule trans :premises (@p17 @p10)) % 0.32/0.57 (step @p19 :rule trans :premises (@p18 @p9)) % 0.32/0.57 (step @p20 :rule aci_norm :args ((= (or false @t20) @t20))) % 0.32/0.57 (step @p21 :rule beta-reduce :args ((= @t24 @t19))) % 0.32/0.57 (step @p22 :rule cong :premises (@p21) :args (@t25)) % 0.32/0.57 (step @p23 :rule eq-refl :args (@t23)) % 0.32/0.57 (step @p24 :rule cong :premises (@p23) :args (@t26)) % 0.32/0.57 (step @p25 :rule trans :premises (@p24 @p5)) % 0.32/0.57 (step @p26 :rule nary_cong :premises (@p25 @p22) :args (@t27)) % 0.32/0.57 (step @p27 :rule trans :premises (@p26 @p20)) % 0.32/0.57 (step @p28 :rule cong :premises (@p27) :args ((forall @t21 @t27))) % 0.32/0.57 (step @p29 :rule trans :premises (@p28 @p19)) % 0.32/0.57 (step @p30 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 @t23)) @t30 @t28)) @t27))) % 0.32/0.57 (step @p31 :rule refl :args (@t28)) % 0.32/0.57 (step @p32 :rule refl :args (@t30)) % 0.32/0.57 (step @p33 :rule eq-symm :args (@t23 @t1)) % 0.32/0.57 (step @p34 :rule cong :premises (@p33) :args (@t30)) % 0.32/0.57 (step @p35 :rule nary_cong :premises (@p34 @p32 @p31) :args (@t31)) % 0.32/0.57 (step @p36 :rule aci_norm :args ((= @t32 @t31))) % 0.32/0.57 (step @p37 :rule trans :premises (@p36 @p35)) % 0.32/0.57 (step @p38 :rule cong :premises (@p37) :args (@t33)) % 0.32/0.57 (step @p39 :rule trans :premises (@p38 @p30)) % 0.32/0.57 (step @p40 :rule cong :premises (@p39) :args (@t34)) % 0.32/0.57 (step @p41 :rule quant-merge-prenex :args ((= @t34 @t35))) % 0.32/0.57 (step @p42 :rule symm :premises (@p41)) % 0.32/0.57 (step @p43 :rule quant_var_reordering :args ((= @t36 @t35))) % 0.32/0.57 (step @p44 :rule trans :premises (@p43 @p42 @p40)) % 0.32/0.57 (step @p45 :rule trans :premises (@p44 @p29)) % 0.32/0.57 (step @p46 :rule quant-merge-prenex :args ((= (forall @t2 @t37) @t36))) % 0.32/0.57 (step @p47 :rule alpha_equiv :args (@t38 (@list @t18) (@list @t8))) % 0.32/0.57 (step @p48 :rule nary_cong :premises (@p32 @p47) :args (@t39)) % 0.32/0.57 (step @p49 :rule quant-miniscope-or :args ((= @t37 @t39))) % 0.32/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.32/0.57 (step @p51 :rule symm :premises (@p50)) % 0.32/0.57 (step @p52 :rule cong :premises (@p51) :args ((forall @t2 (or @t30 @t40)))) % 0.32/0.57 (step @p53 :rule trans :premises (@p52 @p46)) % 0.32/0.57 (step @p54 :rule trans :premises (@p53 @p45)) % 0.32/0.57 (step @p55 :rule bool-double-not-elim :args (@t40)) % 0.32/0.57 (step @p56 :rule nary_cong :premises (@p32 @p55) :args ((or @t30 (not @t41)))) % 0.32/0.57 (step @p57 :rule bool-and-de-morgan :args (@t29 @t41 true)) % 0.32/0.57 (step @p58 :rule trans :premises (@p57 @p56)) % 0.32/0.57 (step @p59 :rule cong :premises (@p58) :args (@t43)) % 0.32/0.57 (step @p60 :rule trans :premises (@p59 @p54)) % 0.32/0.57 (step @p61 :rule cong :premises (@p60) :args (@t44)) % 0.32/0.57 (step @p62 :rule trans :premises (@p61 @p6)) % 0.32/0.57 (step @p63 :rule exists-elim :args ((= (exists @t2 @t42) @t44))) % 0.32/0.57 (step @p64 :rule trans :premises (@p63 @p62)) % 0.32/0.57 (step @p65 :rule beta-reduce :args ((= @t46 @t42))) % 0.32/0.57 (step @p66 :rule cong :premises (@p65) :args (@t47)) % 0.32/0.57 (step @p67 :rule trans :premises (@p66 @p64)) % 0.32/0.57 (step @p68 :rule cong :premises (@p67) :args ((not @t47))) % 0.32/0.57 (step @p69 :rule trans :premises (@p68 @p5)) % 0.32/0.57 (step @p70 :rule refl :args (@t1)) % 0.32/0.57 (step @p71 :rule refl :args (@t45)) % 0.32/0.57 (step @p72 :rule refl :args (@t10)) % 0.32/0.57 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t10 @t45))) % 0.32/0.57 (step @p74 :rule symm :premises (@p73)) % 0.32/0.57 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.32/0.57 (step @p76 :rule cong :premises (@p75) :args (@t48)) % 0.32/0.57 (step @p77 :rule cong :premises (@p76) :args (@t49)) % 0.32/0.57 (step @p78 :rule cong :premises (@p77) :args (@t50)) % 0.32/0.57 (step @p79 :rule exists-elim :args ((= @t12 @t50))) % 0.32/0.57 (step @p80 :rule trans :premises (@p79 @p78)) % 0.32/0.57 (step @p81 :rule eq-symm :args (@t9 @t23)) % 0.32/0.57 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((and (= @t9 @t23) @t12))) % 0.32/0.57 (step @p83 :rule refl :args (@t12)) % 0.32/0.57 (step @p84 :rule eq-symm :args (@t5 tptp.c)) % 0.32/0.57 (step @p85 :rule cong :premises (@p84) :args (@t7)) % 0.32/0.57 (step @p86 :rule trans :premises (@p3 @p85)) % 0.32/0.57 (step @p87 :rule refl :args (@t9)) % 0.32/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args (@t13)) % 0.32/0.57 (step @p89 :rule nary_cong :premises (@p88 @p83) :args (@t14)) % 0.32/0.57 (step @p90 :rule trans :premises (@p89 @p82)) % 0.32/0.57 (step @p91 :rule cong :premises (@p90) :args (@t16)) % 0.32/0.57 (step @p92 :rule trans :premises (@p4 @p91)) % 0.32/0.57 (step @p93 :rule ho_cong :premises (@p92 @p70)) % 0.32/0.57 (step @p94 :rule cong :premises (@p93) :args (@t3)) % 0.32/0.57 (step @p95 :rule cong :premises (@p94) :args (@t4)) % 0.32/0.57 (step @p96 :rule trans :premises (@p95 @p69)) % 0.32/0.57 (step @p97 false :rule eq_resolve :premises (@p1 @p96)) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------