%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ082^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:44:10 AM UTC 2026 % Result : Theorem 0.28s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ082^1 : TPTP v9.2.1. Released v3.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 % 0.16/0.34 % DateTime : Tue Jun 2 13:17:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.28/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort $$unsorted 0) % 0.28/0.55 (declare-const tptp.says (-> $$unsorted Bool Bool)) % 0.28/0.55 (declare-const tptp.peter $$unsorted) % 0.28/0.55 (define @t1 () (@var "X" Bool)) % 0.28/0.55 (define @t2 () (not @t1)) % 0.28/0.55 (define @t3 () (_ tptp.says tptp.peter)) % 0.28/0.55 (define @t4 () (_ @t3 @t1)) % 0.28/0.55 (define @t5 () (@list @t1)) % 0.28/0.55 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.28/0.55 (define @t7 () (tptp.says tptp.peter true)) % 0.28/0.55 (define @t8 () (not @t7)) % 0.28/0.55 (define @t9 () (@purify @t8)) % 0.28/0.55 (define @t10 () (tptp.says tptp.peter @t9)) % 0.28/0.55 (define @t11 () (_ @t3 @t9)) % 0.28/0.55 (define @t12 () (= @t8 @t9)) % 0.28/0.55 (define @t13 () (not true)) % 0.28/0.55 (define @t14 () (or @t8 @t13)) % 0.28/0.55 (define @t15 () (tptp.says tptp.peter @t1)) % 0.28/0.55 (define @t16 () (not @t15)) % 0.28/0.55 (define @t17 () (or @t2 @t16 @t2)) % 0.28/0.55 (define @t18 () (or @t16 @t2)) % 0.28/0.55 (define @t19 () (not @t4)) % 0.28/0.55 (define @t20 () (or @t19 @t2)) % 0.28/0.55 (define @t21 () (@purify true)) % 0.28/0.55 (define @t22 () (tptp.says tptp.peter @t21)) % 0.28/0.55 (define @t23 () (not @t22)) % 0.28/0.55 (assume @p1 (_ @t3 @t6)) % 0.28/0.55 (assume @p2 (not (not @t6))) % 0.28/0.55 (assume @p3 true) % 0.28/0.55 (step @p4 :rule evaluate :args ((= false true))) % 0.28/0.55 (step @p5 :rule refl :args (@t10)) % 0.28/0.55 (step @p6 :rule refl :args (@t11)) % 0.28/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t11 @t10))) % 0.28/0.55 (step @p8 :rule symm :premises (@p7)) % 0.28/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.28/0.55 (step @p10 :rule eq-refl :args (@t8)) % 0.28/0.55 (step @p11 :rule skolem_intro :args (@t9)) % 0.28/0.55 (step @p12 :rule refl :args (@t8)) % 0.28/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args (@t12)) % 0.28/0.55 (step @p14 :rule trans :premises (@p13 @p10)) % 0.28/0.55 (step @p15 :rule true_elim :premises (@p14)) % 0.28/0.55 (step @p16 :rule refl :args (@t3)) % 0.28/0.55 (step @p17 :rule ho_cong :premises (@p16 @p15)) % 0.28/0.55 (step @p18 :rule trans :premises (@p17 @p9)) % 0.28/0.55 (step @p19 :rule aci_norm :args ((= (or @t8 false) @t8))) % 0.28/0.55 (step @p20 :rule evaluate :args (@t13)) % 0.28/0.55 (step @p21 :rule nary_cong :premises (@p12 @p20) :args (@t14)) % 0.28/0.55 (step @p22 :rule trans :premises (@p21 @p19)) % 0.28/0.55 (step @p23 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t1 true)) @t16 @t2)) @t14))) % 0.28/0.55 (step @p24 :rule refl :args (@t2)) % 0.28/0.55 (step @p25 :rule refl :args (@t16)) % 0.28/0.55 (step @p26 :rule bool-eq-true :args (@t1)) % 0.28/0.55 (step @p27 :rule symm :premises (@p26)) % 0.28/0.55 (step @p28 :rule cong :premises (@p27) :args (@t2)) % 0.28/0.55 (step @p29 :rule nary_cong :premises (@p28 @p25 @p24) :args (@t17)) % 0.28/0.55 (step @p30 :rule aci_norm :args ((= @t18 @t17))) % 0.28/0.55 (step @p31 :rule trans :premises (@p30 @p29)) % 0.28/0.55 (step @p32 :rule cong :premises (@p31) :args ((forall @t5 @t18))) % 0.28/0.55 (step @p33 :rule trans :premises (@p32 @p23)) % 0.28/0.55 (step @p34 :rule trans :premises (@p33 @p22)) % 0.28/0.55 (step @p35 :rule refl :args (@t15)) % 0.28/0.55 (step @p36 :rule refl :args (@t4)) % 0.28/0.55 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t4 @t15))) % 0.28/0.55 (step @p38 :rule symm :premises (@p37)) % 0.28/0.55 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.28/0.55 (step @p40 :rule cong :premises (@p39) :args (@t19)) % 0.28/0.55 (step @p41 :rule nary_cong :premises (@p40 @p24) :args (@t20)) % 0.28/0.55 (step @p42 :rule cong :premises (@p41) :args ((forall @t5 @t20))) % 0.28/0.55 (step @p43 :rule trans :premises (@p42 @p34)) % 0.28/0.55 (step @p44 :rule bool-impl-elim :args (@t4 @t2)) % 0.28/0.55 (step @p45 :rule cong :premises (@p44) :args (@t6)) % 0.28/0.55 (step @p46 :rule trans :premises (@p45 @p43)) % 0.28/0.55 (step @p47 :rule ho_cong :premises (@p16 @p46)) % 0.28/0.55 (step @p48 :rule trans :premises (@p47 @p18)) % 0.28/0.55 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.28/0.55 (step @p50 :rule true_intro :premises (@p49)) % 0.28/0.55 (step @p51 :rule skolem_intro :args (@t21)) % 0.28/0.55 (step @p52 :rule symm :premises (@p51)) % 0.28/0.55 (step @p53 :rule refl :args (tptp.peter)) % 0.28/0.55 (step @p54 :rule cong :premises (@p53 @p52) :args (@t7)) % 0.28/0.55 (step @p55 :rule cong :premises (@p54) :args (@t8)) % 0.28/0.55 (step @p56 :rule bool-double-not-elim :args (@t6)) % 0.28/0.55 (step @p57 :rule trans :premises (@p56 @p46)) % 0.28/0.55 (step @p58 :rule trans :premises (@p57 @p55)) % 0.28/0.55 (step @p59 :rule eq_resolve :premises (@p2 @p58)) % 0.28/0.55 (step @p60 :rule bool-double-not-elim :args (@t22)) % 0.28/0.55 (step @p61 :rule refl :args (@t9)) % 0.28/0.55 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t9 (not @t23)))) % 0.28/0.55 (step @p63 :rule eq-symm :args (@t23 @t9)) % 0.28/0.55 (step @p64 :rule cong :premises (@p55 @p61) :args (@t12)) % 0.36/0.55 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.55 (step @p66 :rule eq-symm :args (@t9 @t8)) % 0.36/0.55 (step @p67 :rule trans :premises (@p66 @p65)) % 0.36/0.55 (step @p68 :rule eq_resolve :premises (@p11 @p67)) % 0.36/0.55 (step @p69 :rule equiv_elim2 :premises (@p68)) % 0.36/0.55 (step @p70 :rule eq_resolve :premises (@p69 @p62)) % 0.36/0.55 (step @p71 :rule chain_m_resolution :premises (@p70 @p59) :args (@t9 (@list true) (@list @t22))) % 0.36/0.55 (step @p72 :rule true_intro :premises (@p71)) % 0.36/0.55 (step @p73 :rule symm :premises (@p72)) % 0.36/0.55 (step @p74 :rule trans :premises (@p51 @p73)) % 0.36/0.55 (step @p75 :rule cong :premises (@p53 @p74) :args (@t22)) % 0.36/0.55 (step @p76 :rule false_intro :premises (@p59)) % 0.36/0.55 (step @p77 :rule symm :premises (@p76)) % 0.36/0.55 (step @p78 :rule trans :premises (@p77 @p75 @p50)) % 0.36/0.55 (step @p79 false :rule eq_resolve :premises (@p78 @p4)) % 0.36/0.55 ) % 0.36/0.55 % SZS output end Proof % 0.36/0.55 % cvc5 exiting %------------------------------------------------------------------------------