%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU511^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:52:00 AM UTC 2026 % Result : Theorem 0.28s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU511^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.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 % 0.16/0.35 % DateTime : Tue Jun 2 17:39:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.28/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.56 % SZS status Theorem % 0.28/0.56 % SZS output start Proof % 0.28/0.56 ( % 0.28/0.56 (declare-sort $$unsorted 0) % 0.28/0.56 (declare-const tptp.emptyset $$unsorted) % 0.28/0.56 (declare-const tptp.emptysetE Bool) % 0.28/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.28/0.56 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.28/0.56 (define @t1 () (@var "Xphi" Bool)) % 0.28/0.56 (define @t2 () (@list @t1)) % 0.28/0.56 (define @t3 () (forall @t2 @t1)) % 0.28/0.56 (define @t4 () (@var "Xx" $$unsorted)) % 0.28/0.56 (define @t5 () (_ tptp.in @t4)) % 0.28/0.56 (define @t6 () (_ @t5 tptp.emptyset)) % 0.28/0.56 (define @t7 () (=> @t6 @t3)) % 0.28/0.56 (define @t8 () (@list @t4)) % 0.28/0.56 (define @t9 () (forall @t8 @t7)) % 0.28/0.56 (define @t10 () (= tptp.emptysetE @t9)) % 0.28/0.56 (define @t11 () (@var "A" $$unsorted)) % 0.28/0.56 (define @t12 () (_ @t5 @t11)) % 0.28/0.56 (define @t13 () (exists @t8 @t12)) % 0.28/0.56 (define @t14 () (=> @t13 (_ tptp.nonempty @t11))) % 0.28/0.56 (define @t15 () (@list @t11)) % 0.28/0.56 (define @t16 () (forall @t15 @t14)) % 0.28/0.56 (define @t17 () (=> tptp.emptysetE @t16)) % 0.28/0.56 (define @t18 () (not @t17)) % 0.28/0.56 (define @t19 () (not (= @t4 tptp.emptyset))) % 0.28/0.56 (define @t20 () (lambda @t8 @t19)) % 0.28/0.56 (define @t21 () (@var "BOUND_VARIABLE_7474" $$unsorted)) % 0.28/0.56 (define @t22 () (not (tptp.in @t21 tptp.emptyset))) % 0.28/0.56 (define @t23 () (@list @t21)) % 0.28/0.56 (define @t24 () (forall @t23 @t22)) % 0.28/0.56 (define @t25 () (tptp.in @t4 tptp.emptyset)) % 0.28/0.56 (define @t26 () (not @t6)) % 0.28/0.56 (define @t27 () (or @t1 @t1)) % 0.28/0.56 (define @t28 () (=> tptp.emptysetE @t24)) % 0.28/0.56 (define @t29 () (not (= tptp.emptyset tptp.emptyset))) % 0.28/0.56 (define @t30 () (or @t22 @t29)) % 0.28/0.56 (define @t31 () (not (= tptp.emptyset @t11))) % 0.28/0.56 (define @t32 () (not (tptp.in @t21 @t11))) % 0.28/0.56 (define @t33 () (or @t31 @t32 @t31)) % 0.28/0.56 (define @t34 () (or @t32 @t31)) % 0.28/0.56 (define @t35 () (forall @t15 @t34)) % 0.28/0.56 (define @t36 () (forall @t23 @t35)) % 0.28/0.56 (define @t37 () (forall (@list @t21 @t11) @t34)) % 0.28/0.56 (define @t38 () (forall (@list @t11 @t21) @t34)) % 0.28/0.56 (define @t39 () (forall @t23 @t34)) % 0.28/0.56 (define @t40 () (forall @t23 @t32)) % 0.28/0.56 (define @t41 () (@list @t21)) % 0.28/0.56 (define @t42 () (@list @t4)) % 0.37/0.56 (define @t43 () (or @t40 @t31)) % 0.37/0.56 (define @t44 () (tptp.in @t4 @t11)) % 0.37/0.56 (define @t45 () (forall @t8 (not @t44))) % 0.37/0.56 (define @t46 () (not @t45)) % 0.37/0.56 (define @t47 () (_ (lambda @t8 (not (= tptp.emptyset @t4))) @t11)) % 0.37/0.56 (define @t48 () (not @t12)) % 0.37/0.56 (define @t49 () (forall @t8 @t48)) % 0.37/0.56 (define @t50 () (not @t49)) % 0.37/0.56 (define @t51 () (=> @t13 @t47)) % 0.37/0.56 (define @t52 () (forall @t15 @t51)) % 0.37/0.56 (define @t53 () (=> tptp.emptysetE @t52)) % 0.37/0.56 (define @t54 () (forall @t8 (not @t25))) % 0.37/0.56 (define @t55 () (@list false)) % 0.37/0.56 (assume @p1 @t10) % 0.37/0.56 (assume @p2 @t18) % 0.37/0.56 (assume @p3 true) % 0.37/0.56 (step @p4 (= tptp.nonempty @t20) :rule refl :args (@t20)) % 0.37/0.56 (step @p5 :rule refl :args (@t24)) % 0.37/0.56 (step @p6 :rule refl :args (@t25)) % 0.37/0.56 (step @p7 :rule refl :args (@t6)) % 0.37/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t6 @t25))) % 0.37/0.56 (step @p9 :rule symm :premises (@p8)) % 0.37/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10) :args (@t26)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11) :args ((forall @t8 @t26))) % 0.37/0.56 (step @p13 :rule bool-impl-false1 :args (@t6)) % 0.37/0.56 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 false)) @t1)) false))) % 0.37/0.56 (step @p15 :rule refl :args (@t1)) % 0.37/0.56 (step @p16 :rule bool-eq-false :args (@t1)) % 0.37/0.56 (step @p17 :rule symm :premises (@p16)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17) :args ((not (not @t1)))) % 0.37/0.56 (step @p19 :rule bool-double-not-elim :args (@t1)) % 0.37/0.56 (step @p20 :rule symm :premises (@p19)) % 0.37/0.56 (step @p21 :rule trans :premises (@p20 @p18)) % 0.37/0.56 (step @p22 :rule nary_cong :premises (@p21 @p15) :args (@t27)) % 0.37/0.56 (step @p23 :rule aci_norm :args ((= @t1 @t27))) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24) :args (@t3)) % 0.37/0.56 (step @p26 :rule trans :premises (@p25 @p14)) % 0.37/0.56 (step @p27 :rule refl :args (@t6)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args (@t7)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p13)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args (@t9)) % 0.37/0.56 (step @p31 :rule trans :premises (@p30 @p12)) % 0.37/0.56 (step @p32 :rule refl :args (tptp.emptysetE)) % 0.37/0.56 (step @p33 :rule cong :premises (@p32 @p31) :args (@t10)) % 0.37/0.56 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.37/0.56 (step @p35 :rule cong :premises (@p34 @p5) :args (@t28)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35) :args ((not @t28))) % 0.37/0.56 (step @p37 :rule aci_norm :args ((= (or @t22 false) @t22))) % 0.37/0.56 (step @p38 :rule evaluate :args ((not true))) % 0.37/0.56 (step @p39 :rule eq-refl :args (tptp.emptyset)) % 0.37/0.56 (step @p40 :rule cong :premises (@p39) :args (@t29)) % 0.37/0.56 (step @p41 :rule trans :premises (@p40 @p38)) % 0.37/0.56 (step @p42 :rule refl :args (@t22)) % 0.37/0.56 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t30)) % 0.37/0.56 (step @p44 :rule trans :premises (@p43 @p37)) % 0.37/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t23 @t30))) % 0.37/0.56 (step @p46 :rule quant-var-elim-eq :args ((= (forall @t15 (or (not (= @t11 tptp.emptyset)) @t32 @t31)) @t30))) % 0.37/0.56 (step @p47 :rule refl :args (@t31)) % 0.37/0.56 (step @p48 :rule refl :args (@t32)) % 0.37/0.56 (step @p49 :rule eq-symm :args (tptp.emptyset @t11)) % 0.37/0.56 (step @p50 :rule cong :premises (@p49) :args (@t31)) % 0.37/0.56 (step @p51 :rule nary_cong :premises (@p50 @p48 @p47) :args (@t33)) % 0.37/0.56 (step @p52 :rule aci_norm :args ((= @t34 @t33))) % 0.37/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.56 (step @p54 :rule cong :premises (@p53) :args (@t35)) % 0.37/0.56 (step @p55 :rule trans :premises (@p54 @p46)) % 0.37/0.56 (step @p56 :rule cong :premises (@p55) :args (@t36)) % 0.37/0.56 (step @p57 :rule quant-merge-prenex :args ((= @t36 @t37))) % 0.37/0.56 (step @p58 :rule symm :premises (@p57)) % 0.37/0.56 (step @p59 :rule quant_var_reordering :args ((= @t38 @t37))) % 0.37/0.56 (step @p60 :rule trans :premises (@p59 @p58 @p56)) % 0.37/0.56 (step @p61 :rule trans :premises (@p60 @p45)) % 0.37/0.56 (step @p62 :rule quant-merge-prenex :args ((= (forall @t15 @t39) @t38))) % 0.37/0.56 (step @p63 :rule alpha_equiv :args (@t40 @t41 @t42)) % 0.37/0.56 (step @p64 :rule nary_cong :premises (@p63 @p47) :args (@t43)) % 0.37/0.56 (step @p65 :rule quant-miniscope-or :args ((= @t39 @t43))) % 0.37/0.56 (step @p66 :rule trans :premises (@p65 @p64)) % 0.37/0.56 (step @p67 :rule symm :premises (@p66)) % 0.37/0.56 (step @p68 :rule cong :premises (@p67) :args ((forall @t15 (or @t45 @t31)))) % 0.37/0.56 (step @p69 :rule trans :premises (@p68 @p62)) % 0.37/0.56 (step @p70 :rule trans :premises (@p69 @p61)) % 0.37/0.56 (step @p71 :rule bool-double-not-elim :args (@t45)) % 0.37/0.56 (step @p72 :rule nary_cong :premises (@p71 @p47) :args ((or (not @t46) @t31))) % 0.37/0.56 (step @p73 :rule bool-impl-elim :args (@t46 @t31)) % 0.37/0.56 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.56 (step @p75 :rule cong :premises (@p74) :args ((forall @t15 (=> @t46 @t31)))) % 0.37/0.56 (step @p76 :rule trans :premises (@p75 @p70)) % 0.37/0.56 (step @p77 :rule beta-reduce :args ((= @t47 @t31))) % 0.37/0.56 (step @p78 :rule refl :args (@t44)) % 0.37/0.56 (step @p79 :rule refl :args (@t12)) % 0.37/0.56 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t12 @t44))) % 0.37/0.56 (step @p81 :rule symm :premises (@p80)) % 0.37/0.56 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.37/0.56 (step @p83 :rule cong :premises (@p82) :args (@t48)) % 0.37/0.56 (step @p84 :rule cong :premises (@p83) :args (@t49)) % 0.37/0.56 (step @p85 :rule cong :premises (@p84) :args (@t50)) % 0.37/0.56 (step @p86 :rule exists-elim :args ((= @t13 @t50))) % 0.37/0.56 (step @p87 :rule trans :premises (@p86 @p85)) % 0.37/0.56 (step @p88 :rule cong :premises (@p87 @p77) :args (@t51)) % 0.37/0.56 (step @p89 :rule cong :premises (@p88) :args (@t52)) % 0.37/0.56 (step @p90 :rule trans :premises (@p89 @p76)) % 0.37/0.56 (step @p91 :rule cong :premises (@p32 @p90) :args (@t53)) % 0.37/0.56 (step @p92 :rule cong :premises (@p91) :args ((not @t53))) % 0.37/0.56 (step @p93 :rule refl :args (@t11)) % 0.37/0.56 (step @p94 :rule eq-symm :args (@t4 tptp.emptyset)) % 0.37/0.56 (step @p95 :rule cong :premises (@p94) :args (@t19)) % 0.37/0.56 (step @p96 :rule cong :premises (@p95) :args (@t20)) % 0.37/0.56 (step @p97 :rule trans :premises (@p4 @p96)) % 0.37/0.56 (step @p98 :rule ho_cong :premises (@p97 @p93)) % 0.37/0.56 (step @p99 :rule refl :args (@t13)) % 0.37/0.56 (step @p100 :rule cong :premises (@p99 @p98) :args (@t14)) % 0.37/0.56 (step @p101 :rule cong :premises (@p100) :args (@t16)) % 0.37/0.56 (step @p102 :rule cong :premises (@p32 @p101) :args (@t17)) % 0.37/0.56 (step @p103 :rule cong :premises (@p102) :args (@t18)) % 0.37/0.56 (step @p104 :rule trans :premises (@p103 @p92)) % 0.37/0.56 (step @p105 :rule trans :premises (@p104 @p36)) % 0.37/0.56 (step @p106 :rule eq_resolve :premises (@p2 @p105)) % 0.37/0.56 (step @p107 :rule not_implies_elim1 :premises (@p106)) % 0.37/0.56 (step @p108 :rule alpha_equiv :args (@t54 @t42 @t41)) % 0.37/0.56 (step @p109 :rule equiv_elim1 :premises (@p108)) % 0.37/0.56 (step @p110 :rule reordering :premises (@p109) :args ((or @t24 (not @t54)))) % 0.37/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p107) :args (@t24 @t55 (@list @t54))) % 0.37/0.56 (step @p112 :rule not_implies_elim2 :premises (@p106)) % 0.37/0.56 (step @p113 false :rule chain_m_resolution :premises (@p112 @p111) :args (false @t55 (@list @t24))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------