%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU535^2 : 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 : n002.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 08:52:06 AM UTC 2026 % Result : Theorem 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU535^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n002.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 : Tue Jun 2 17:41:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.34/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (declare-sort $$unsorted 0) % 0.34/0.56 (declare-const tptp.emptysetE Bool) % 0.34/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.emptyset $$unsorted) % 0.34/0.56 (define @t1 () (@var "Xphi" Bool)) % 0.34/0.56 (define @t2 () (@list @t1)) % 0.34/0.56 (define @t3 () (forall @t2 @t1)) % 0.34/0.56 (define @t4 () (@var "Xx" $$unsorted)) % 0.34/0.56 (define @t5 () (_ (_ tptp.in @t4) tptp.emptyset)) % 0.34/0.56 (define @t6 () (=> @t5 @t3)) % 0.34/0.56 (define @t7 () (@list @t4)) % 0.34/0.56 (define @t8 () (forall @t7 @t6)) % 0.34/0.56 (define @t9 () (= tptp.emptysetE @t8)) % 0.34/0.56 (define @t10 () (@var "Xphi" (-> $$unsorted Bool))) % 0.34/0.56 (define @t11 () (_ @t10 @t4)) % 0.34/0.56 (define @t12 () (@list @t10 @t4)) % 0.34/0.56 (define @t13 () (forall @t12 (=> @t5 @t11))) % 0.34/0.56 (define @t14 () (=> tptp.emptysetE @t13)) % 0.34/0.56 (define @t15 () (not @t14)) % 0.34/0.56 (define @t16 () (_ @t10 @t4)) % 0.34/0.56 (define @t17 () (tptp.in @t4 tptp.emptyset)) % 0.34/0.56 (define @t18 () (not @t17)) % 0.34/0.56 (define @t19 () (forall @t12 (or @t18 @t16))) % 0.34/0.56 (define @t20 () (not @t5)) % 0.34/0.56 (define @t21 () (or @t1 @t1)) % 0.34/0.56 (define @t22 () (=> tptp.emptysetE @t19)) % 0.34/0.56 (define @t23 () (or @t20 @t11)) % 0.34/0.56 (define @t24 () (@quantifiers_skolemize @t19 1)) % 0.34/0.56 (define @t25 () (tptp.in @t24 tptp.emptyset)) % 0.34/0.56 (define @t26 () (not @t25)) % 0.34/0.56 (define @t27 () (or @t26 (_ (@quantifiers_skolemize @t19 0) @t24))) % 0.34/0.56 (define @t28 () (forall @t7 @t18)) % 0.34/0.56 (assume @p1 @t9) % 0.34/0.56 (assume @p2 @t15) % 0.34/0.56 (assume @p3 true) % 0.34/0.56 (step @p4 :rule refl :args (@t19)) % 0.34/0.56 (step @p5 :rule refl :args (@t17)) % 0.34/0.56 (step @p6 :rule refl :args (@t5)) % 0.34/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t5 @t17))) % 0.34/0.56 (step @p8 :rule symm :premises (@p7)) % 0.34/0.56 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.34/0.56 (step @p10 :rule cong :premises (@p9) :args (@t20)) % 0.34/0.56 (step @p11 :rule cong :premises (@p10) :args ((forall @t7 @t20))) % 0.34/0.56 (step @p12 :rule bool-impl-false1 :args (@t5)) % 0.34/0.56 (step @p13 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 false)) @t1)) false))) % 0.34/0.56 (step @p14 :rule refl :args (@t1)) % 0.34/0.56 (step @p15 :rule bool-eq-false :args (@t1)) % 0.34/0.56 (step @p16 :rule symm :premises (@p15)) % 0.34/0.56 (step @p17 :rule cong :premises (@p16) :args ((not (not @t1)))) % 0.34/0.56 (step @p18 :rule bool-double-not-elim :args (@t1)) % 0.34/0.56 (step @p19 :rule symm :premises (@p18)) % 0.34/0.56 (step @p20 :rule trans :premises (@p19 @p17)) % 0.34/0.56 (step @p21 :rule nary_cong :premises (@p20 @p14) :args (@t21)) % 0.34/0.56 (step @p22 :rule aci_norm :args ((= @t1 @t21))) % 0.34/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.34/0.56 (step @p24 :rule cong :premises (@p23) :args (@t3)) % 0.34/0.56 (step @p25 :rule trans :premises (@p24 @p13)) % 0.34/0.56 (step @p26 :rule refl :args (@t5)) % 0.34/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args (@t6)) % 0.34/0.56 (step @p28 :rule trans :premises (@p27 @p12)) % 0.34/0.56 (step @p29 :rule cong :premises (@p28) :args (@t8)) % 0.34/0.56 (step @p30 :rule trans :premises (@p29 @p11)) % 0.34/0.56 (step @p31 :rule refl :args (tptp.emptysetE)) % 0.34/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args (@t9)) % 0.34/0.56 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.34/0.56 (step @p34 :rule cong :premises (@p33 @p4) :args (@t22)) % 0.34/0.56 (step @p35 :rule cong :premises (@p34) :args ((not @t22))) % 0.34/0.56 (step @p36 :rule refl :args (@t16)) % 0.34/0.56 (step @p37 :rule refl :args (@t11)) % 0.34/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t11 @t16))) % 0.34/0.56 (step @p39 :rule symm :premises (@p38)) % 0.34/0.56 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.34/0.56 (step @p41 :rule nary_cong :premises (@p10 @p40) :args (@t23)) % 0.34/0.56 (step @p42 :rule cong :premises (@p41) :args ((forall @t12 @t23))) % 0.34/0.56 (step @p43 :rule bool-impl-elim :args (@t5 @t11)) % 0.34/0.56 (step @p44 :rule cong :premises (@p43) :args (@t13)) % 0.34/0.56 (step @p45 :rule trans :premises (@p44 @p42)) % 0.34/0.56 (step @p46 :rule cong :premises (@p31 @p45) :args (@t14)) % 0.34/0.56 (step @p47 :rule cong :premises (@p46) :args (@t15)) % 0.34/0.56 (step @p48 :rule trans :premises (@p47 @p35)) % 0.34/0.56 (step @p49 :rule eq_resolve :premises (@p2 @p48)) % 0.34/0.56 (step @p50 :rule not_implies_elim1 :premises (@p49)) % 0.34/0.56 (step @p51 :rule not_implies_elim2 :premises (@p49)) % 0.34/0.56 (step @p52 :rule skolemize :premises (@p51)) % 0.34/0.56 (step @p53 :rule bool-double-not-elim :args (@t25)) % 0.34/0.56 (step @p54 :rule refl :args (@t27)) % 0.34/0.56 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t27 (not @t26)))) % 0.34/0.56 (step @p56 :rule cnf_or_neg :args (@t27 0)) % 0.34/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.34/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t25 @t27))) % 0.34/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p52) :args (@t25 (@list true) (@list @t27))) % 0.34/0.57 (assume-push @p66 @t28) % 0.34/0.57 (step @p61 :rule instantiate :premises (@p50) :args ((@list @t24))) % 0.34/0.57 (step-pop @p67 :rule scope :premises (@p61)) % 0.34/0.57 (step @p62 :rule process_scope :premises (@p67) :args (@t26)) % 0.34/0.57 (step @p64 :rule implies_elim :premises (@p62)) % 0.34/0.57 (step @p65 false :rule chain_m_resolution :premises (@p64 @p59 @p50) :args (false (@list false false) (@list @t25 @t28))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------