%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV225^5 : TPTP v9.2.1. Bugfixed v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:55:38 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV225^5 : TPTP v9.2.1. Bugfixed v5.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.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 18:21:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort tptp.r 0) % 0.39/0.56 (declare-const tptp.c0 tptp.r) % 0.39/0.56 (declare-const tptp.cIRREFLEXIVE_LAW Bool) % 0.39/0.56 (declare-const tptp.less (-> tptp.r tptp.r Bool)) % 0.39/0.56 (define @t1 () (@var "Xx" tptp.r)) % 0.39/0.56 (define @t2 () (_ tptp.less @t1)) % 0.39/0.56 (define @t3 () (_ @t2 @t1)) % 0.39/0.56 (define @t4 () (not @t3)) % 0.39/0.56 (define @t5 () (@list @t1)) % 0.39/0.56 (define @t6 () (forall @t5 @t4)) % 0.39/0.56 (define @t7 () (= tptp.cIRREFLEXIVE_LAW @t6)) % 0.39/0.56 (define @t8 () (= @t1 tptp.c0)) % 0.39/0.56 (define @t9 () (_ @t2 tptp.c0)) % 0.39/0.56 (define @t10 () (and @t9 @t8)) % 0.39/0.56 (define @t11 () (not @t10)) % 0.39/0.56 (define @t12 () (forall @t5 @t11)) % 0.39/0.56 (define @t13 () (=> tptp.cIRREFLEXIVE_LAW @t12)) % 0.39/0.56 (define @t14 () (not @t13)) % 0.39/0.56 (define @t15 () (tptp.less tptp.c0 tptp.c0)) % 0.39/0.56 (define @t16 () (not @t15)) % 0.39/0.56 (define @t17 () (tptp.less @t1 @t1)) % 0.39/0.56 (define @t18 () (=> tptp.cIRREFLEXIVE_LAW @t16)) % 0.39/0.56 (define @t19 () (not (= tptp.c0 tptp.c0))) % 0.39/0.56 (define @t20 () (or @t16 @t19)) % 0.39/0.56 (define @t21 () (= tptp.c0 @t1)) % 0.39/0.56 (define @t22 () (not @t21)) % 0.39/0.56 (define @t23 () (tptp.less @t1 tptp.c0)) % 0.39/0.56 (define @t24 () (not @t23)) % 0.39/0.56 (define @t25 () (or @t22 @t24 @t22)) % 0.39/0.56 (define @t26 () (or @t24 @t22)) % 0.39/0.56 (define @t27 () (not @t9)) % 0.39/0.56 (define @t28 () (or @t27 @t22)) % 0.39/0.56 (define @t29 () (forall @t5 (not @t17))) % 0.39/0.56 (assume @p1 @t7) % 0.39/0.56 (assume @p2 @t14) % 0.39/0.56 (assume @p3 true) % 0.39/0.56 (step @p4 :rule refl :args (@t16)) % 0.39/0.56 (step @p5 :rule refl :args (@t17)) % 0.39/0.56 (step @p6 :rule refl :args (@t3)) % 0.39/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t3 @t17))) % 0.39/0.56 (step @p8 :rule symm :premises (@p7)) % 0.39/0.56 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.39/0.56 (step @p10 :rule cong :premises (@p9) :args (@t4)) % 0.39/0.56 (step @p11 :rule cong :premises (@p10) :args (@t6)) % 0.39/0.56 (step @p12 :rule refl :args (tptp.cIRREFLEXIVE_LAW)) % 0.39/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args (@t7)) % 0.39/0.56 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 0.39/0.56 (step @p15 :rule cong :premises (@p14 @p4) :args (@t18)) % 0.39/0.56 (step @p16 :rule cong :premises (@p15) :args ((not @t18))) % 0.39/0.56 (step @p17 :rule aci_norm :args ((= (or @t16 false) @t16))) % 0.39/0.56 (step @p18 :rule evaluate :args ((not true))) % 0.39/0.56 (step @p19 :rule eq-refl :args (tptp.c0)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19) :args (@t19)) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p18)) % 0.39/0.56 (step @p22 :rule nary_cong :premises (@p4 @p21) :args (@t20)) % 0.39/0.56 (step @p23 :rule trans :premises (@p22 @p17)) % 0.39/0.56 (step @p24 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not @t8) @t24 @t22)) @t20))) % 0.39/0.56 (step @p25 :rule refl :args (@t22)) % 0.39/0.56 (step @p26 :rule refl :args (@t24)) % 0.39/0.56 (step @p27 :rule eq-symm :args (tptp.c0 @t1)) % 0.39/0.56 (step @p28 :rule cong :premises (@p27) :args (@t22)) % 0.39/0.56 (step @p29 :rule nary_cong :premises (@p28 @p26 @p25) :args (@t25)) % 0.39/0.56 (step @p30 :rule aci_norm :args ((= @t26 @t25))) % 0.39/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31) :args ((forall @t5 @t26))) % 0.39/0.56 (step @p33 :rule trans :premises (@p32 @p24)) % 0.39/0.56 (step @p34 :rule trans :premises (@p33 @p23)) % 0.39/0.56 (step @p35 :rule refl :args (@t23)) % 0.39/0.56 (step @p36 :rule refl :args (@t9)) % 0.39/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t9 @t23))) % 0.39/0.56 (step @p38 :rule symm :premises (@p37)) % 0.39/0.56 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.39/0.56 (step @p40 :rule cong :premises (@p39) :args (@t27)) % 0.39/0.56 (step @p41 :rule nary_cong :premises (@p40 @p25) :args (@t28)) % 0.39/0.56 (step @p42 :rule cong :premises (@p41) :args ((forall @t5 @t28))) % 0.39/0.56 (step @p43 :rule trans :premises (@p42 @p34)) % 0.39/0.56 (step @p44 :rule bool-and-de-morgan :args (@t9 @t21 true)) % 0.39/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t5 (not (and @t9 @t21))))) % 0.39/0.56 (step @p46 :rule trans :premises (@p45 @p43)) % 0.39/0.56 (step @p47 :rule eq-symm :args (@t1 tptp.c0)) % 0.39/0.56 (step @p48 :rule refl :args (@t9)) % 0.39/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t10)) % 0.39/0.56 (step @p50 :rule cong :premises (@p49) :args (@t11)) % 0.39/0.56 (step @p51 :rule cong :premises (@p50) :args (@t12)) % 0.39/0.56 (step @p52 :rule trans :premises (@p51 @p46)) % 0.39/0.56 (step @p53 :rule cong :premises (@p12 @p52) :args (@t13)) % 0.39/0.56 (step @p54 :rule cong :premises (@p53) :args (@t14)) % 0.39/0.56 (step @p55 :rule trans :premises (@p54 @p16)) % 0.39/0.56 (step @p56 :rule eq_resolve :premises (@p2 @p55)) % 0.39/0.56 (step @p57 :rule not_implies_elim1 :premises (@p56)) % 0.39/0.56 (step @p58 :rule not_implies_elim2 :premises (@p56)) % 0.39/0.56 (step @p59 :rule not_not_elim :premises (@p58)) % 0.39/0.56 (assume-push @p67 @t29) % 0.39/0.56 (step @p61 :rule instantiate :premises (@p57) :args ((@list tptp.c0))) % 0.39/0.56 (step-pop @p68 :rule scope :premises (@p61)) % 0.39/0.56 (step @p62 :rule process_scope :premises (@p68) :args (@t16)) % 0.39/0.56 (step @p64 :rule implies_elim :premises (@p62)) % 0.39/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t16 (not @t29)))) % 0.39/0.56 (step @p66 false :rule chain_m_resolution :premises (@p65 @p59 @p57) :args (false (@list false false) (@list @t15 @t29))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------