%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM749^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:40:33 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 % 0.00/0.13 % Problem : NUM749^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 12:11:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----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.frac 0) % 0.39/0.56 (declare-const tptp.x tptp.frac) % 0.39/0.56 (declare-const tptp.y tptp.frac) % 0.39/0.56 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.39/0.56 (declare-const tptp.more (-> tptp.frac tptp.frac Bool)) % 0.39/0.56 (declare-const tptp.less (-> tptp.frac tptp.frac Bool)) % 0.39/0.56 (define @t1 () (@var "Xx" tptp.frac)) % 0.39/0.56 (define @t2 () (@var "Xy" tptp.frac)) % 0.39/0.56 (define @t3 () (_ (_ tptp.less @t2) @t1)) % 0.39/0.56 (define @t4 () (_ (_ tptp.more @t1) @t2)) % 0.39/0.56 (define @t5 () (@list @t1 @t2)) % 0.39/0.56 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.39/0.56 (define @t7 () (_ (_ tptp.pf @t1) @t2)) % 0.39/0.56 (define @t8 () (_ (_ tptp.more @t7) @t1)) % 0.39/0.56 (define @t9 () (forall @t5 @t8)) % 0.39/0.56 (define @t10 () (_ (_ tptp.pf tptp.x) tptp.y)) % 0.39/0.56 (define @t11 () (_ tptp.less tptp.x)) % 0.39/0.56 (define @t12 () (_ @t11 @t10)) % 0.39/0.56 (define @t13 () (not @t12)) % 0.39/0.56 (define @t14 () (tptp.pf tptp.x tptp.y)) % 0.39/0.56 (define @t15 () (tptp.less tptp.x @t14)) % 0.39/0.56 (define @t16 () (tptp.less @t2 @t1)) % 0.39/0.56 (define @t17 () (tptp.more @t1 @t2)) % 0.39/0.56 (define @t18 () (not @t4)) % 0.39/0.56 (define @t19 () (or @t18 @t3)) % 0.39/0.56 (define @t20 () (tptp.pf @t1 @t2)) % 0.39/0.56 (define @t21 () (tptp.more @t20 @t1)) % 0.39/0.56 (define @t22 () (tptp.more @t14 tptp.x)) % 0.39/0.56 (define @t23 () (not @t22)) % 0.39/0.56 (define @t24 () (or @t23 @t15)) % 0.39/0.56 (assume @p1 @t6) % 0.39/0.56 (assume @p2 @t9) % 0.39/0.56 (assume @p3 @t13) % 0.39/0.56 (assume @p4 true) % 0.39/0.56 (step @p5 :rule refl :args ((tptp.less tptp.x @t10))) % 0.39/0.56 (step @p6 :rule refl :args (@t14)) % 0.39/0.56 (step @p7 :rule refl :args (tptp.x)) % 0.39/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args (@t15)) % 0.39/0.56 (step @p9 :rule trans :premises (@p8 @p5)) % 0.39/0.56 (step @p10 :rule refl :args (@t11)) % 0.39/0.56 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 0.39/0.56 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t11 @t14) @t15))) % 0.39/0.56 (step @p13 :rule symm :premises (@p12)) % 0.39/0.56 (step @p14 :rule refl :args (@t12)) % 0.39/0.56 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.39/0.56 (step @p16 :rule refl :args (@t10)) % 0.39/0.56 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t10 @t14))) % 0.39/0.56 (step @p18 :rule symm :premises (@p17)) % 0.39/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.39/0.56 (step @p20 :rule refl :args (@t11)) % 0.39/0.56 (step @p21 :rule ho_cong :premises (@p20 @p19)) % 0.39/0.56 (step @p22 :rule trans :premises (@p21 @p15)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 0.39/0.56 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 0.39/0.56 (step @p25 :rule refl :args (@t16)) % 0.39/0.56 (step @p26 :rule refl :args (@t3)) % 0.39/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t16))) % 0.39/0.56 (step @p28 :rule symm :premises (@p27)) % 0.39/0.56 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.39/0.56 (step @p30 :rule refl :args (@t17)) % 0.39/0.56 (step @p31 :rule refl :args (@t4)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t4 @t17))) % 0.39/0.56 (step @p33 :rule symm :premises (@p32)) % 0.39/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.39/0.56 (step @p35 :rule cong :premises (@p34) :args (@t18)) % 0.39/0.56 (step @p36 :rule nary_cong :premises (@p35 @p29) :args (@t19)) % 0.39/0.56 (step @p37 :rule cong :premises (@p36) :args ((forall @t5 @t19))) % 0.39/0.56 (step @p38 :rule bool-impl-elim :args (@t4 @t3)) % 0.39/0.56 (step @p39 :rule cong :premises (@p38) :args (@t6)) % 0.39/0.56 (step @p40 :rule trans :premises (@p39 @p37)) % 0.39/0.56 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.39/0.56 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t14 tptp.x))) % 0.39/0.56 (step @p43 :rule refl :args ((tptp.more @t7 @t1))) % 0.39/0.56 (step @p44 :rule refl :args (@t1)) % 0.39/0.56 (step @p45 :rule refl :args (@t20)) % 0.39/0.56 (step @p46 :rule cong :premises (@p45 @p44) :args (@t21)) % 0.39/0.56 (step @p47 :rule trans :premises (@p46 @p43)) % 0.39/0.56 (step @p48 :rule refl :args (tptp.more)) % 0.39/0.56 (step @p49 :rule ho_cong :premises (@p48 @p45)) % 0.39/0.56 (step @p50 :rule ho_cong :premises (@p49 @p44)) % 0.39/0.56 (step @p51 :rule cong :premises (@p50 @p47) :args ((= (_ (_ tptp.more @t20) @t1) @t21))) % 0.39/0.56 (step @p52 :rule symm :premises (@p51)) % 0.39/0.56 (step @p53 :rule refl :args (@t8)) % 0.39/0.56 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.39/0.56 (step @p55 :rule refl :args (@t7)) % 0.39/0.56 (step @p56 :rule cong :premises (@p55 @p45) :args ((= @t7 @t20))) % 0.39/0.56 (step @p57 :rule symm :premises (@p56)) % 0.39/0.56 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.39/0.56 (step @p59 :rule ho_cong :premises (@p48 @p58)) % 0.39/0.56 (step @p60 :rule ho_cong :premises (@p59 @p44)) % 0.39/0.57 (step @p61 :rule trans :premises (@p60 @p54)) % 0.39/0.57 (step @p62 :rule cong :premises (@p61) :args (@t9)) % 0.39/0.57 (step @p63 :rule eq_resolve :premises (@p2 @p62)) % 0.39/0.57 (step @p64 :rule instantiate :premises (@p63) :args ((@list tptp.x tptp.y))) % 0.39/0.57 (step @p65 :rule cnf_or_pos :args (@t24)) % 0.39/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t15 @t23 (not @t24)))) % 0.39/0.57 (step @p67 false :rule chain_m_resolution :premises (@p66 @p64 @p42 @p24) :args (false (@list false false true) (@list @t22 @t24 @t15))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------