%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU501^2 : 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 : n015.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 08:51:57 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU501^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n015.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:39:34 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.39/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.emptysetAx Bool) % 0.39/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.emptyset $$unsorted) % 0.39/0.57 (define @t1 () (@var "Xx" $$unsorted)) % 0.39/0.57 (define @t2 () (_ (_ tptp.in @t1) tptp.emptyset)) % 0.39/0.57 (define @t3 () (not @t2)) % 0.39/0.57 (define @t4 () (@list @t1)) % 0.39/0.57 (define @t5 () (forall @t4 @t3)) % 0.39/0.57 (define @t6 () (= tptp.emptysetAx @t5)) % 0.39/0.57 (define @t7 () (@var "Xphi" Bool)) % 0.39/0.57 (define @t8 () (@list @t7)) % 0.39/0.57 (define @t9 () (forall @t8 @t7)) % 0.39/0.57 (define @t10 () (=> @t2 @t9)) % 0.39/0.57 (define @t11 () (forall @t4 @t10)) % 0.39/0.57 (define @t12 () (=> tptp.emptysetAx @t11)) % 0.39/0.57 (define @t13 () (not @t12)) % 0.39/0.57 (define @t14 () (tptp.in @t1 tptp.emptyset)) % 0.39/0.57 (define @t15 () (or @t7 @t7)) % 0.39/0.57 (define @t16 () (forall @t4 (not @t14))) % 0.39/0.57 (assume @p1 @t6) % 0.39/0.57 (assume @p2 @t13) % 0.39/0.57 (assume @p3 true) % 0.39/0.57 (step @p4 :rule refl :args (@t14)) % 0.39/0.57 (step @p5 :rule refl :args (@t2)) % 0.39/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t14))) % 0.39/0.57 (step @p7 :rule symm :premises (@p6)) % 0.39/0.57 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.39/0.57 (step @p9 :rule cong :premises (@p8) :args (@t3)) % 0.39/0.57 (step @p10 :rule cong :premises (@p9) :args (@t5)) % 0.39/0.57 (step @p11 :rule bool-impl-false1 :args (@t2)) % 0.39/0.57 (step @p12 :rule quant-var-elim-eq :args ((= (forall @t8 (or (not (= @t7 false)) @t7)) false))) % 0.39/0.57 (step @p13 :rule refl :args (@t7)) % 0.39/0.57 (step @p14 :rule bool-eq-false :args (@t7)) % 0.39/0.57 (step @p15 :rule symm :premises (@p14)) % 0.39/0.57 (step @p16 :rule cong :premises (@p15) :args ((not (not @t7)))) % 0.39/0.57 (step @p17 :rule bool-double-not-elim :args (@t7)) % 0.39/0.57 (step @p18 :rule symm :premises (@p17)) % 0.39/0.57 (step @p19 :rule trans :premises (@p18 @p16)) % 0.39/0.57 (step @p20 :rule nary_cong :premises (@p19 @p13) :args (@t15)) % 0.39/0.57 (step @p21 :rule aci_norm :args ((= @t7 @t15))) % 0.39/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.57 (step @p23 :rule cong :premises (@p22) :args (@t9)) % 0.39/0.57 (step @p24 :rule trans :premises (@p23 @p12)) % 0.39/0.57 (step @p25 :rule refl :args (@t2)) % 0.39/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args (@t10)) % 0.39/0.57 (step @p27 :rule trans :premises (@p26 @p11)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t11)) % 0.39/0.57 (step @p29 :rule trans :premises (@p28 @p10)) % 0.39/0.57 (step @p30 :rule refl :args (tptp.emptysetAx)) % 0.39/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args (@t12)) % 0.39/0.57 (step @p32 :rule cong :premises (@p31) :args (@t13)) % 0.39/0.57 (step @p33 :rule eq_resolve :premises (@p2 @p32)) % 0.39/0.57 (step @p34 :rule not_implies_elim2 :premises (@p33)) % 0.39/0.57 (step @p35 :rule not_implies_elim1 :premises (@p33)) % 0.39/0.57 (step @p36 :rule cnf_equiv_pos1 :args ((= tptp.emptysetAx @t16))) % 0.39/0.57 (step @p37 :rule chain_resolution :premises (@p36 @p35 @p34) :args ((@list false true) (@list tptp.emptysetAx @t16))) % 0.39/0.57 (step @p38 :rule cong :premises (@p30 @p10) :args (@t6)) % 0.39/0.57 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.39/0.57 (step @p40 false :rule contra :premises (@p39 @p37)) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------