%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO370^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:12:31 AM UTC 2026 % Result : Theorem 0.15s 0.35s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO370^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 19:06:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TH0 % 0.15/0.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.35 % SZS status Theorem % 0.15/0.35 % SZS output start Proof % 0.15/0.35 ( % 0.15/0.35 (declare-sort $$unsorted 0) % 0.15/0.35 (declare-const tptp.cP (-> (-> $$unsorted Bool) Bool)) % 0.15/0.35 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.15/0.35 (define @t1 () (@var "Xx" $$unsorted)) % 0.15/0.35 (define @t2 () (_ tptp.cA @t1)) % 0.15/0.35 (define @t3 () (@list @t1)) % 0.15/0.35 (define @t4 () (lambda @t3 (not (not @t2)))) % 0.15/0.35 (define @t5 () (_ tptp.cP tptp.cA)) % 0.15/0.35 (define @t6 () (=> @t5 (_ tptp.cP @t4))) % 0.15/0.35 (define @t7 () (not @t6)) % 0.15/0.35 (define @t8 () (tptp.cA @t1)) % 0.15/0.35 (define @t9 () (lambda @t3 @t2)) % 0.15/0.35 (define @t10 () (@purify @t9)) % 0.15/0.35 (define @t11 () (_ @t10 @t1)) % 0.15/0.35 (define @t12 () (= @t2 @t11)) % 0.15/0.35 (define @t13 () (_ @t9 @t1)) % 0.15/0.35 (define @t14 () (= @t11 @t13)) % 0.15/0.35 (define @t15 () (forall @t3 @t14)) % 0.15/0.35 (define @t16 () (tptp.cP @t10)) % 0.15/0.35 (define @t17 () (_ tptp.cP @t10)) % 0.15/0.35 (define @t18 () (tptp.cP tptp.cA)) % 0.15/0.35 (define @t19 () (=> @t5 (_ tptp.cP @t9))) % 0.15/0.35 (define @t20 () (= tptp.cA @t10)) % 0.15/0.35 (define @t21 () (not @t20)) % 0.15/0.35 (define @t22 () (not @t18)) % 0.15/0.35 (define @t23 () (not @t16)) % 0.15/0.35 (define @t24 () (and @t18 @t20 @t23)) % 0.15/0.35 (define @t25 () (@list true false)) % 0.15/0.35 (define @t26 () (@const 0 $$unsorted)) % 0.15/0.35 (define @t27 () (_ @t10 @t26)) % 0.15/0.35 (define @t28 () (tptp.cA @t26)) % 0.15/0.35 (define @t29 () (= @t28 @t27)) % 0.15/0.35 (define @t30 () (not @t29)) % 0.15/0.35 (define @t31 () (forall @t3 (= @t11 @t8))) % 0.15/0.35 (define @t32 () (= @t27 @t28)) % 0.15/0.35 (assume @p1 @t7) % 0.15/0.35 (assume @p2 true) % 0.15/0.35 (step @p3 :rule eq-symm :args (@t8 @t11)) % 0.15/0.35 (step @p4 :rule cong :premises (@p3) :args ((forall @t3 (= @t8 @t11)))) % 0.15/0.35 (step @p5 :rule refl :args (@t11)) % 0.15/0.35 (step @p6 :rule refl :args (@t8)) % 0.15/0.35 (step @p7 :rule refl :args (@t2)) % 0.15/0.35 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t2 @t8))) % 0.15/0.35 (step @p9 :rule symm :premises (@p8)) % 0.15/0.35 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.15/0.35 (step @p11 :rule cong :premises (@p10 @p5) :args (@t12)) % 0.15/0.35 (step @p12 :rule cong :premises (@p11) :args ((forall @t3 @t12))) % 0.15/0.35 (step @p13 :rule trans :premises (@p12 @p4)) % 0.15/0.35 (step @p14 :rule eq-symm :args (@t11 @t2)) % 0.15/0.35 (step @p15 :rule beta-reduce :args ((= @t13 @t2))) % 0.15/0.35 (step @p16 :rule refl :args (@t11)) % 0.15/0.35 (step @p17 :rule cong :premises (@p16 @p15) :args (@t14)) % 0.15/0.35 (step @p18 :rule trans :premises (@p17 @p14)) % 0.15/0.35 (step @p19 :rule cong :premises (@p18) :args (@t15)) % 0.15/0.35 (step @p20 :rule trans :premises (@p19 @p13)) % 0.15/0.35 (step @p21 :rule quant-unused-vars :args ((= (forall @t3 true) true))) % 0.15/0.35 (step @p22 :rule eq-refl :args (@t13)) % 0.15/0.35 (step @p23 :rule cong :premises (@p22) :args ((forall @t3 (= @t13 @t13)))) % 0.15/0.35 (step @p24 :rule trans :premises (@p23 @p21)) % 0.15/0.35 (step @p25 :rule refl :args (@t13)) % 0.15/0.35 (step @p26 :rule refl :args (@t1)) % 0.15/0.35 (step @p27 :rule skolem_intro :args (@t10)) % 0.15/0.35 (step @p28 :rule ho_cong :premises (@p27 @p26)) % 0.15/0.35 (step @p29 :rule cong :premises (@p28 @p25) :args (@t14)) % 0.15/0.35 (step @p30 :rule cong :premises (@p29) :args (@t15)) % 0.15/0.35 (step @p31 :rule trans :premises (@p30 @p24)) % 0.15/0.35 (step @p32 :rule true_elim :premises (@p31)) % 0.15/0.35 (step @p33 :rule eq_resolve :premises (@p32 @p20)) % 0.15/0.35 (step @p34 :rule refl :args (@t16)) % 0.15/0.35 (step @p35 :rule refl :args (@t17)) % 0.15/0.35 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t17 @t16))) % 0.15/0.35 (step @p37 :rule symm :premises (@p36)) % 0.15/0.35 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.15/0.35 (step @p39 :rule eq-refl :args (@t9)) % 0.15/0.35 (step @p40 :rule refl :args (@t9)) % 0.15/0.35 (step @p41 :rule cong :premises (@p40 @p27) :args ((= @t9 @t10))) % 0.15/0.35 (step @p42 :rule trans :premises (@p41 @p39)) % 0.15/0.35 (step @p43 :rule true_elim :premises (@p42)) % 0.15/0.35 (step @p44 :rule refl :args (tptp.cP)) % 0.15/0.35 (step @p45 :rule ho_cong :premises (@p44 @p43)) % 0.15/0.35 (step @p46 :rule trans :premises (@p45 @p38)) % 0.15/0.35 (step @p47 :rule refl :args (@t18)) % 0.15/0.35 (step @p48 :rule refl :args (@t5)) % 0.15/0.35 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t5 @t18))) % 0.15/0.35 (step @p50 :rule symm :premises (@p49)) % 0.15/0.35 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.15/0.35 (step @p52 :rule cong :premises (@p51 @p46) :args (@t19)) % 0.15/0.35 (step @p53 :rule cong :premises (@p52) :args ((not @t19))) % 0.15/0.35 (step @p54 :rule bool-double-not-elim :args (@t2)) % 0.15/0.35 (step @p55 :rule cong :premises (@p54) :args (@t4)) % 0.15/0.35 (step @p56 :rule ho_cong :premises (@p44 @p55)) % 0.15/0.35 (step @p57 :rule refl :args (@t5)) % 0.15/0.35 (step @p58 :rule cong :premises (@p57 @p56) :args (@t6)) % 0.15/0.36 (step @p59 :rule cong :premises (@p58) :args (@t7)) % 0.15/0.36 (step @p60 :rule trans :premises (@p59 @p53)) % 0.15/0.36 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 0.15/0.36 (step @p62 :rule not_implies_elim1 :premises (@p61)) % 0.15/0.36 (step @p63 :rule not_implies_elim2 :premises (@p61)) % 0.15/0.36 (step @p64 :rule refl :args (@t21)) % 0.15/0.36 (step @p65 :rule bool-double-not-elim :args (@t16)) % 0.15/0.36 (step @p66 :rule refl :args (@t22)) % 0.15/0.36 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args ((or @t22 (not @t23) @t21))) % 0.15/0.36 (assume-push @p109 @t18) % 0.15/0.36 (assume-push @p110 @t20) % 0.15/0.36 (assume-push @p111 @t23) % 0.15/0.36 (step @p71 :rule evaluate :args ((= false true))) % 0.15/0.36 (step @p72 :rule true_intro :premises (@p62)) % 0.15/0.36 (step @p73 :rule symm :premises (@p110)) % 0.15/0.36 (step @p74 :rule cong :premises (@p73) :args (@t16)) % 0.15/0.36 (step @p75 :rule false_intro :premises (@p63)) % 0.15/0.36 (step @p76 :rule symm :premises (@p75)) % 0.15/0.36 (step @p77 :rule trans :premises (@p76 @p74 @p72)) % 0.15/0.36 (step @p78 false :rule eq_resolve :premises (@p77 @p71)) % 0.15/0.36 (step-pop @p112 :rule scope :premises (@p78)) % 0.15/0.36 (step-pop @p113 :rule scope :premises (@p112)) % 0.15/0.36 (step-pop @p114 :rule scope :premises (@p113)) % 0.15/0.36 (step @p79 :rule process_scope :premises (@p114) :args (false)) % 0.15/0.36 (assume-push @p115 @t18) % 0.15/0.36 (assume-push @p116 @t23) % 0.15/0.36 (assume-push @p117 @t20) % 0.15/0.36 (step @p86 :rule and_intro :premises (@p62 @p117 @p63)) % 0.15/0.36 (step-pop @p118 :rule scope :premises (@p86)) % 0.15/0.36 (step-pop @p119 :rule scope :premises (@p118)) % 0.15/0.36 (step-pop @p120 :rule scope :premises (@p119)) % 0.15/0.36 (step @p87 :rule process_scope :premises (@p120) :args (@t24)) % 0.15/0.36 (step @p91 :rule implies_elim :premises (@p87)) % 0.15/0.36 (step @p92 :rule resolution :premises (@p91 @p79) :args (true @t24)) % 0.15/0.36 (step @p93 :rule not_and :premises (@p92)) % 0.15/0.36 (step @p94 :rule eq_resolve :premises (@p93 @p67)) % 0.15/0.36 (step @p95 :rule reordering :premises (@p94) :args ((or @t16 @t22 @t21))) % 0.15/0.36 (step @p96 :rule chain_m_resolution :premises (@p95 @p63 @p62) :args (@t21 @t25 (@list @t16 @t18))) % 0.15/0.36 ; WARNING: add trust step for TRUST % 0.15/0.36 ; trust TRUST THEORY_LEMMA % 0.15/0.36 (step @p97 :rule trust :premises () :args ((or @t20 @t30))) % 0.15/0.36 (step @p98 :rule chain_m_resolution :premises (@p97 @p96) :args (@t30 (@list true) (@list @t20))) % 0.15/0.36 (step @p99 :rule eq-symm :args (@t27 @t28)) % 0.15/0.36 (step @p100 :rule refl :args (@t31)) % 0.15/0.36 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t31 @t32))) % 0.15/0.36 (assume-push @p121 @t31) % 0.15/0.36 (step @p103 :rule instantiate :premises (@p33) :args ((@list @t26))) % 0.15/0.36 (step-pop @p122 :rule scope :premises (@p103)) % 0.15/0.36 (step @p104 :rule process_scope :premises (@p122) :args (@t32)) % 0.15/0.36 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.15/0.36 (step @p107 :rule implies_elim :premises (@p106)) % 0.15/0.36 (step @p108 false :rule chain_m_resolution :premises (@p107 @p98 @p33) :args (false @t25 (@list @t29 @t31))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------