%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU541^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:52:07 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU541^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n008.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:41:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.emptyset $$unsorted) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.prop2setI Bool) % 0.38/0.57 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.38/0.57 (define tptp.set2prop () (let ((_let_1 (@var "A" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.in tptp.emptyset) _let_1)))) % 0.38/0.57 (define @t1 () (@var "Xphi" Bool)) % 0.38/0.57 (define @t2 () (_ tptp.prop2set @t1)) % 0.38/0.57 (define @t3 () (_ tptp.in tptp.emptyset)) % 0.38/0.57 (define @t4 () (_ @t3 @t2)) % 0.38/0.57 (define @t5 () (@list @t1)) % 0.38/0.57 (define @t6 () (forall @t5 (=> @t1 @t4))) % 0.38/0.57 (define @t7 () (= tptp.prop2setI @t6)) % 0.38/0.57 (define @t8 () (=> @t1 (_ tptp.set2prop @t2))) % 0.38/0.57 (define @t9 () (forall @t5 @t8)) % 0.38/0.57 (define @t10 () (=> tptp.prop2setI @t9)) % 0.38/0.57 (define @t11 () (not @t10)) % 0.38/0.57 (define @t12 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t13 () (lambda (@list @t12) (_ @t3 @t12))) % 0.38/0.57 (define @t14 () (tptp.in tptp.emptyset (tptp.prop2set true))) % 0.38/0.57 (define @t15 () (not true)) % 0.38/0.57 (define @t16 () (or @t15 @t14)) % 0.38/0.57 (define @t17 () (tptp.prop2set @t1)) % 0.38/0.57 (define @t18 () (tptp.in tptp.emptyset @t17)) % 0.38/0.57 (define @t19 () (not @t1)) % 0.38/0.57 (define @t20 () (or @t19 @t19 @t18)) % 0.38/0.57 (define @t21 () (or @t19 @t18)) % 0.38/0.57 (define @t22 () (or @t19 @t4)) % 0.38/0.57 (define @t23 () (_ @t13 @t2)) % 0.38/0.57 (define @t24 () (=> @t1 @t23)) % 0.38/0.57 (define @t25 () (forall @t5 @t24)) % 0.38/0.57 (define @t26 () (=> tptp.prop2setI @t25)) % 0.38/0.57 (assume @p1 @t7) % 0.38/0.57 (assume @p2 @t11) % 0.38/0.57 (assume @p3 true) % 0.38/0.57 (step @p4 (= tptp.set2prop @t13) :rule refl :args (@t13)) % 0.38/0.57 (step @p5 :rule aci_norm :args ((= (or false @t14) @t14))) % 0.38/0.57 (step @p6 :rule refl :args (@t14)) % 0.38/0.57 (step @p7 :rule evaluate :args (@t15)) % 0.38/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t16)) % 0.38/0.57 (step @p9 :rule trans :premises (@p8 @p5)) % 0.38/0.57 (step @p10 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t1 true)) @t19 @t18)) @t16))) % 0.38/0.57 (step @p11 :rule refl :args (@t18)) % 0.38/0.57 (step @p12 :rule refl :args (@t19)) % 0.38/0.57 (step @p13 :rule bool-eq-true :args (@t1)) % 0.38/0.57 (step @p14 :rule symm :premises (@p13)) % 0.38/0.57 (step @p15 :rule cong :premises (@p14) :args (@t19)) % 0.38/0.57 (step @p16 :rule nary_cong :premises (@p15 @p12 @p11) :args (@t20)) % 0.38/0.57 (step @p17 :rule aci_norm :args ((= @t21 @t20))) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.57 (step @p19 :rule cong :premises (@p18) :args ((forall @t5 @t21))) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p10)) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p9)) % 0.38/0.57 (step @p22 :rule refl :args ((tptp.in tptp.emptyset @t2))) % 0.38/0.57 (step @p23 :rule refl :args (@t17)) % 0.38/0.57 (step @p24 :rule refl :args (tptp.emptyset)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args (@t18)) % 0.38/0.57 (step @p26 :rule trans :premises (@p25 @p22)) % 0.38/0.57 (step @p27 :rule refl :args (@t3)) % 0.38/0.57 (step @p28 :rule ho_cong :premises (@p27 @p23)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28 @p26) :args ((= (_ @t3 @t17) @t18))) % 0.38/0.57 (step @p30 :rule symm :premises (@p29)) % 0.38/0.57 (step @p31 :rule refl :args (@t4)) % 0.38/0.57 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.38/0.57 (step @p33 :rule refl :args (@t2)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33 @p23) :args ((= @t2 @t17))) % 0.38/0.57 (step @p35 :rule symm :premises (@p34)) % 0.38/0.57 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.38/0.57 (step @p37 :rule ho_cong :premises (@p27 @p36)) % 0.38/0.57 (step @p38 :rule trans :premises (@p37 @p32)) % 0.38/0.57 (step @p39 :rule nary_cong :premises (@p12 @p38) :args (@t22)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t5 @t22))) % 0.38/0.57 (step @p41 :rule trans :premises (@p40 @p21)) % 0.38/0.57 (step @p42 :rule bool-impl-elim :args (@t1 @t4)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args (@t6)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p41)) % 0.38/0.57 (step @p45 :rule beta-reduce :args ((= @t23 @t4))) % 0.38/0.57 (step @p46 :rule refl :args (@t1)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t24)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p44)) % 0.38/0.57 (step @p50 :rule refl :args (tptp.prop2setI)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args (@t26)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51) :args ((not @t26))) % 0.38/0.57 (step @p53 :rule refl :args (@t2)) % 0.38/0.57 (step @p54 :rule ho_cong :premises (@p4 @p53)) % 0.38/0.57 (step @p55 :rule cong :premises (@p46 @p54) :args (@t8)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55) :args (@t9)) % 0.38/0.57 (step @p57 :rule cong :premises (@p50 @p56) :args (@t10)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57) :args (@t11)) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p52)) % 0.38/0.57 (step @p60 :rule eq_resolve :premises (@p2 @p59)) % 0.38/0.57 (step @p61 :rule not_implies_elim2 :premises (@p60)) % 0.38/0.57 (step @p62 :rule not_implies_elim1 :premises (@p60)) % 0.38/0.57 (step @p63 :rule cnf_equiv_pos1 :args ((= tptp.prop2setI @t14))) % 0.38/0.57 (step @p64 :rule chain_resolution :premises (@p63 @p62 @p61) :args ((@list false true) (@list tptp.prop2setI @t14))) % 0.38/0.57 (step @p65 :rule cong :premises (@p50 @p44) :args (@t7)) % 0.38/0.57 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.38/0.57 (step @p67 false :rule contra :premises (@p66 @p64)) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------