%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM752^1 : 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 : n021.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 08:40:34 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM752^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 12:12:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.frac 0) % 0.30/0.55 (declare-const tptp.z tptp.frac) % 0.30/0.55 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.30/0.55 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.30/0.55 (declare-const tptp.x tptp.frac) % 0.30/0.55 (declare-const tptp.y tptp.frac) % 0.30/0.55 (define @t1 () (_ (_ tptp.eq tptp.x) tptp.y)) % 0.30/0.55 (define @t2 () (@var "Xu" tptp.frac)) % 0.30/0.55 (define @t3 () (@var "Xy" tptp.frac)) % 0.30/0.55 (define @t4 () (_ (_ tptp.pf @t3) @t2)) % 0.30/0.55 (define @t5 () (@var "Xz" tptp.frac)) % 0.30/0.55 (define @t6 () (@var "Xx" tptp.frac)) % 0.30/0.55 (define @t7 () (_ (_ tptp.pf @t6) @t5)) % 0.30/0.55 (define @t8 () (_ (_ tptp.eq @t7) @t4)) % 0.30/0.55 (define @t9 () (_ (_ tptp.eq @t5) @t2)) % 0.30/0.55 (define @t10 () (=> @t9 @t8)) % 0.30/0.55 (define @t11 () (_ tptp.eq @t6)) % 0.30/0.55 (define @t12 () (_ @t11 @t3)) % 0.30/0.55 (define @t13 () (@list @t6 @t3 @t5 @t2)) % 0.30/0.55 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.30/0.55 (define @t15 () (_ @t11 @t6)) % 0.30/0.55 (define @t16 () (@list @t6)) % 0.30/0.55 (define @t17 () (forall @t16 @t15)) % 0.30/0.55 (define @t18 () (_ tptp.pf tptp.z)) % 0.30/0.55 (define @t19 () (_ @t18 tptp.y)) % 0.30/0.55 (define @t20 () (_ @t18 tptp.x)) % 0.30/0.55 (define @t21 () (_ (_ tptp.eq @t20) @t19)) % 0.30/0.55 (define @t22 () (not @t21)) % 0.30/0.55 (define @t23 () (tptp.eq @t6 @t6)) % 0.30/0.55 (define @t24 () (tptp.pf @t3 @t2)) % 0.30/0.55 (define @t25 () (tptp.pf @t6 @t5)) % 0.30/0.55 (define @t26 () (tptp.eq @t25 @t24)) % 0.30/0.55 (define @t27 () (tptp.eq @t5 @t2)) % 0.30/0.55 (define @t28 () (not @t9)) % 0.30/0.55 (define @t29 () (tptp.eq @t6 @t3)) % 0.30/0.55 (define @t30 () (not @t12)) % 0.30/0.55 (define @t31 () (or @t30 @t28 @t8)) % 0.30/0.55 (define @t32 () (tptp.eq tptp.x tptp.y)) % 0.30/0.55 (define @t33 () (tptp.pf tptp.z tptp.y)) % 0.30/0.55 (define @t34 () (tptp.pf tptp.z tptp.x)) % 0.30/0.55 (define @t35 () (tptp.eq @t34 @t33)) % 0.30/0.55 (define @t36 () (not @t32)) % 0.30/0.55 (define @t37 () (tptp.eq tptp.z tptp.z)) % 0.30/0.55 (define @t38 () (not @t37)) % 0.30/0.55 (define @t39 () (or @t38 @t36 @t35)) % 0.30/0.55 (define @t40 () (forall @t16 @t23)) % 0.30/0.55 (assume @p1 @t1) % 0.30/0.55 (assume @p2 @t14) % 0.30/0.55 (assume @p3 @t17) % 0.30/0.55 (assume @p4 @t22) % 0.30/0.55 (assume @p5 true) % 0.30/0.55 (step @p6 :rule refl :args (@t23)) % 0.30/0.55 (step @p7 :rule refl :args (@t15)) % 0.30/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t15 @t23))) % 0.30/0.55 (step @p9 :rule symm :premises (@p8)) % 0.30/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.30/0.55 (step @p11 :rule cong :premises (@p10) :args (@t17)) % 0.30/0.55 (step @p12 :rule eq_resolve :premises (@p3 @p11)) % 0.30/0.55 (step @p13 :rule refl :args ((tptp.eq @t7 @t4))) % 0.30/0.55 (step @p14 :rule refl :args (@t24)) % 0.30/0.55 (step @p15 :rule refl :args (@t25)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args (@t26)) % 0.30/0.55 (step @p17 :rule trans :premises (@p16 @p13)) % 0.30/0.55 (step @p18 :rule refl :args (tptp.eq)) % 0.30/0.55 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.30/0.55 (step @p20 :rule ho_cong :premises (@p19 @p14)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20 @p17) :args ((= (_ (_ tptp.eq @t25) @t24) @t26))) % 0.30/0.55 (step @p22 :rule symm :premises (@p21)) % 0.30/0.55 (step @p23 :rule refl :args (@t8)) % 0.30/0.55 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.30/0.55 (step @p25 :rule refl :args (@t4)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25 @p14) :args ((= @t4 @t24))) % 0.30/0.55 (step @p27 :rule symm :premises (@p26)) % 0.30/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.30/0.55 (step @p29 :rule refl :args (@t7)) % 0.30/0.55 (step @p30 :rule cong :premises (@p29 @p15) :args ((= @t7 @t25))) % 0.30/0.55 (step @p31 :rule symm :premises (@p30)) % 0.30/0.55 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.30/0.55 (step @p33 :rule ho_cong :premises (@p18 @p32)) % 0.30/0.55 (step @p34 :rule ho_cong :premises (@p33 @p28)) % 0.30/0.55 (step @p35 :rule trans :premises (@p34 @p24)) % 0.30/0.55 (step @p36 :rule refl :args (@t27)) % 0.30/0.55 (step @p37 :rule refl :args (@t9)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t9 @t27))) % 0.30/0.55 (step @p39 :rule symm :premises (@p38)) % 0.30/0.55 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.30/0.55 (step @p41 :rule cong :premises (@p40) :args (@t28)) % 0.30/0.55 (step @p42 :rule refl :args (@t29)) % 0.30/0.55 (step @p43 :rule refl :args (@t12)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t12 @t29))) % 0.30/0.55 (step @p45 :rule symm :premises (@p44)) % 0.30/0.55 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.30/0.55 (step @p47 :rule cong :premises (@p46) :args (@t30)) % 0.30/0.55 (step @p48 :rule nary_cong :premises (@p47 @p41 @p35) :args (@t31)) % 0.30/0.55 (step @p49 :rule cong :premises (@p48) :args ((forall @t13 @t31))) % 0.30/0.55 (step @p50 :rule aci_norm :args ((= (or @t30 (or @t28 @t8)) @t31))) % 0.30/0.55 (step @p51 :rule bool-impl-elim :args (@t9 @t8)) % 0.30/0.55 (step @p52 :rule refl :args (@t30)) % 0.30/0.55 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t30 @t10))) % 0.30/0.55 (step @p54 :rule trans :premises (@p53 @p50)) % 0.30/0.55 (step @p55 :rule bool-impl-elim :args (@t12 @t10)) % 0.30/0.55 (step @p56 :rule trans :premises (@p55 @p54)) % 0.30/0.55 (step @p57 :rule cong :premises (@p56) :args (@t14)) % 0.30/0.55 (step @p58 :rule trans :premises (@p57 @p49)) % 0.30/0.55 (step @p59 :rule eq_resolve :premises (@p2 @p58)) % 0.30/0.55 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.z tptp.z tptp.x tptp.y))) % 0.30/0.55 (step @p61 :rule refl :args (@t32)) % 0.30/0.55 (step @p62 :rule refl :args (@t1)) % 0.30/0.55 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t1 @t32))) % 0.30/0.55 (step @p64 :rule symm :premises (@p63)) % 0.30/0.55 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.30/0.55 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.30/0.55 (step @p67 :rule refl :args ((tptp.eq @t20 @t19))) % 0.30/0.55 (step @p68 :rule refl :args (@t33)) % 0.30/0.55 (step @p69 :rule refl :args (@t34)) % 0.30/0.55 (step @p70 :rule cong :premises (@p69 @p68) :args (@t35)) % 0.30/0.55 (step @p71 :rule trans :premises (@p70 @p67)) % 0.30/0.55 (step @p72 :rule ho_cong :premises (@p18 @p69)) % 0.30/0.55 (step @p73 :rule ho_cong :premises (@p72 @p68)) % 0.30/0.55 (step @p74 :rule cong :premises (@p73 @p71) :args ((= (_ (_ tptp.eq @t34) @t33) @t35))) % 0.30/0.55 (step @p75 :rule symm :premises (@p74)) % 0.30/0.55 (step @p76 :rule refl :args (@t21)) % 0.30/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.30/0.55 (step @p78 :rule refl :args (@t19)) % 0.30/0.55 (step @p79 :rule cong :premises (@p78 @p68) :args ((= @t19 @t33))) % 0.30/0.55 (step @p80 :rule symm :premises (@p79)) % 0.30/0.55 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.30/0.55 (step @p82 :rule refl :args (@t20)) % 0.30/0.55 (step @p83 :rule cong :premises (@p82 @p69) :args ((= @t20 @t34))) % 0.30/0.55 (step @p84 :rule symm :premises (@p83)) % 0.30/0.55 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.30/0.55 (step @p86 :rule refl :args (tptp.eq)) % 0.30/0.55 (step @p87 :rule ho_cong :premises (@p86 @p85)) % 0.30/0.55 (step @p88 :rule ho_cong :premises (@p87 @p81)) % 0.30/0.55 (step @p89 :rule trans :premises (@p88 @p77)) % 0.30/0.55 (step @p90 :rule cong :premises (@p89) :args (@t22)) % 0.30/0.55 (step @p91 :rule eq_resolve :premises (@p4 @p90)) % 0.30/0.55 (step @p92 :rule cnf_or_pos :args (@t39)) % 0.30/0.55 (step @p93 :rule reordering :premises (@p92) :args ((or @t35 @t36 @t38 (not @t39)))) % 0.30/0.55 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p66 @p60) :args (@t38 (@list true false false) (@list @t35 @t32 @t39))) % 0.30/0.55 (assume-push @p101 @t40) % 0.30/0.55 (step @p96 :rule instantiate :premises (@p12) :args ((@list tptp.z))) % 0.30/0.55 (step-pop @p102 :rule scope :premises (@p96)) % 0.30/0.55 (step @p97 :rule process_scope :premises (@p102) :args (@t37)) % 0.30/0.55 (step @p99 :rule implies_elim :premises (@p97)) % 0.30/0.55 (step @p100 false :rule chain_m_resolution :premises (@p99 @p94 @p12) :args (false (@list true false) (@list @t37 @t40))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------