%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM790^1 : 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 : n028.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 08:40:41 AM UTC 2026 % Result : Theorem 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM790^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:22:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.31/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.54 % SZS status Theorem % 0.31/0.54 % SZS output start Proof % 0.31/0.54 ( % 0.31/0.54 (declare-sort tptp.rat 0) % 0.31/0.54 (declare-const tptp.less (-> tptp.rat tptp.rat Bool)) % 0.31/0.54 (declare-const tptp.more (-> tptp.rat tptp.rat Bool)) % 0.31/0.54 (declare-const tptp.is (-> tptp.rat tptp.rat Bool)) % 0.31/0.54 (declare-const tptp.x0 tptp.rat) % 0.31/0.54 (declare-const tptp.y0 tptp.rat) % 0.31/0.54 (define @t1 () (_ (_ tptp.is tptp.x0) tptp.y0)) % 0.31/0.54 (define @t2 () (_ (_ tptp.more tptp.x0) tptp.y0)) % 0.31/0.54 (define @t3 () (not @t2)) % 0.31/0.54 (define @t4 () (=> @t3 @t1)) % 0.31/0.54 (define @t5 () (not @t4)) % 0.31/0.54 (define @t6 () (@var "Xy0" tptp.rat)) % 0.31/0.54 (define @t7 () (@var "Xx0" tptp.rat)) % 0.31/0.54 (define @t8 () (_ (_ tptp.less @t7) @t6)) % 0.31/0.54 (define @t9 () (_ (_ tptp.more @t7) @t6)) % 0.31/0.54 (define @t10 () (not @t9)) % 0.31/0.54 (define @t11 () (=> @t10 @t8)) % 0.31/0.54 (define @t12 () (_ (_ tptp.is @t7) @t6)) % 0.31/0.54 (define @t13 () (not @t12)) % 0.31/0.54 (define @t14 () (@list @t7 @t6)) % 0.31/0.54 (define @t15 () (forall @t14 (=> @t13 @t11))) % 0.31/0.54 (define @t16 () (@var "Xa" Bool)) % 0.31/0.54 (define @t17 () (_ (_ tptp.less tptp.x0) tptp.y0)) % 0.31/0.54 (define @t18 () (not @t17)) % 0.31/0.54 (define @t19 () (tptp.less @t7 @t6)) % 0.31/0.54 (define @t20 () (tptp.more @t7 @t6)) % 0.31/0.54 (define @t21 () (tptp.is @t7 @t6)) % 0.31/0.54 (define @t22 () (or @t12 @t9 @t8)) % 0.31/0.54 (define @t23 () (tptp.less tptp.x0 tptp.y0)) % 0.31/0.54 (define @t24 () (tptp.is tptp.x0 tptp.y0)) % 0.31/0.54 (define @t25 () (tptp.more tptp.x0 tptp.y0)) % 0.31/0.54 (define @t26 () (or @t24 @t25 @t23)) % 0.31/0.54 (define @t27 () (not @t26)) % 0.31/0.54 (define @t28 () (forall @t14 (or @t21 @t20 @t19))) % 0.31/0.54 (assume @p1 @t5) % 0.31/0.54 (assume @p2 @t15) % 0.31/0.54 (assume @p3 (forall (@list @t16) (=> (not (not @t16)) @t16))) % 0.31/0.54 (assume @p4 @t18) % 0.31/0.54 (assume @p5 true) % 0.31/0.54 (step @p6 :rule refl :args (@t19)) % 0.31/0.54 (step @p7 :rule refl :args (@t8)) % 0.31/0.54 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t8 @t19))) % 0.31/0.54 (step @p9 :rule symm :premises (@p8)) % 0.31/0.54 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.31/0.54 (step @p11 :rule refl :args (@t20)) % 0.31/0.54 (step @p12 :rule refl :args (@t9)) % 0.31/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t9 @t20))) % 0.31/0.54 (step @p14 :rule symm :premises (@p13)) % 0.31/0.54 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.31/0.54 (step @p16 :rule refl :args (@t21)) % 0.31/0.54 (step @p17 :rule refl :args (@t12)) % 0.31/0.54 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t12 @t21))) % 0.31/0.54 (step @p19 :rule symm :premises (@p18)) % 0.31/0.54 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.31/0.54 (step @p21 :rule nary_cong :premises (@p20 @p15 @p10) :args (@t22)) % 0.31/0.54 (step @p22 :rule cong :premises (@p21) :args ((forall @t14 @t22))) % 0.31/0.54 (step @p23 :rule aci_norm :args ((= (or @t12 (or @t9 @t8)) @t22))) % 0.31/0.54 (step @p24 :rule bool-double-not-elim :args (@t9)) % 0.31/0.54 (step @p25 :rule nary_cong :premises (@p24 @p7) :args ((or (not @t10) @t8))) % 0.31/0.54 (step @p26 :rule bool-impl-elim :args (@t10 @t8)) % 0.31/0.54 (step @p27 :rule trans :premises (@p26 @p25)) % 0.31/0.54 (step @p28 :rule nary_cong :premises (@p17 @p27) :args ((or @t12 @t11))) % 0.31/0.54 (step @p29 :rule trans :premises (@p28 @p23)) % 0.31/0.54 (step @p30 :rule refl :args (@t11)) % 0.31/0.54 (step @p31 :rule bool-double-not-elim :args (@t12)) % 0.31/0.54 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t13) @t11))) % 0.31/0.54 (step @p33 :rule bool-impl-elim :args (@t13 @t11)) % 0.31/0.54 (step @p34 :rule trans :premises (@p33 @p32)) % 0.31/0.54 (step @p35 :rule trans :premises (@p34 @p29)) % 0.31/0.54 (step @p36 :rule cong :premises (@p35) :args (@t15)) % 0.31/0.54 (step @p37 :rule trans :premises (@p36 @p22)) % 0.31/0.54 (step @p38 :rule eq_resolve :premises (@p2 @p37)) % 0.31/0.54 (step @p39 :rule refl :args (@t23)) % 0.31/0.54 (step @p40 :rule refl :args (@t17)) % 0.31/0.54 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t17 @t23))) % 0.31/0.54 (step @p42 :rule symm :premises (@p41)) % 0.31/0.54 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.31/0.54 (step @p44 :rule cong :premises (@p43) :args (@t18)) % 0.31/0.54 (step @p45 :rule eq_resolve :premises (@p4 @p44)) % 0.31/0.54 (step @p46 :rule refl :args (@t24)) % 0.31/0.54 (step @p47 :rule refl :args (@t1)) % 0.31/0.54 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t1 @t24))) % 0.31/0.54 (step @p49 :rule symm :premises (@p48)) % 0.31/0.54 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.31/0.54 (step @p51 :rule refl :args (@t25)) % 0.31/0.54 (step @p52 :rule refl :args (@t2)) % 0.31/0.54 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t2 @t25))) % 0.31/0.54 (step @p54 :rule symm :premises (@p53)) % 0.31/0.54 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.31/0.55 (step @p56 :rule cong :premises (@p55) :args (@t3)) % 0.31/0.55 (step @p57 :rule cong :premises (@p56 @p50) :args (@t4)) % 0.31/0.55 (step @p58 :rule cong :premises (@p57) :args (@t5)) % 0.31/0.55 (step @p59 :rule eq_resolve :premises (@p1 @p58)) % 0.31/0.55 (step @p60 :rule not_implies_elim1 :premises (@p59)) % 0.31/0.55 (step @p61 :rule not_implies_elim2 :premises (@p59)) % 0.31/0.55 (step @p62 :rule cnf_or_pos :args (@t26)) % 0.31/0.55 (step @p63 :rule reordering :premises (@p62) :args ((or @t24 @t25 @t23 @t27))) % 0.31/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p60 @p45) :args (@t27 (@list true true true) (@list @t24 @t25 @t23))) % 0.31/0.55 (assume-push @p71 @t28) % 0.31/0.55 (step @p66 :rule instantiate :premises (@p38) :args ((@list tptp.x0 tptp.y0))) % 0.31/0.55 (step-pop @p72 :rule scope :premises (@p66)) % 0.31/0.55 (step @p67 :rule process_scope :premises (@p72) :args (@t26)) % 0.31/0.55 (step @p69 :rule implies_elim :premises (@p67)) % 0.31/0.55 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p38) :args (false (@list true false) (@list @t26 @t28))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------