%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM738^1 : 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 : n002.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 08:40:31 AM UTC 2026 % Result : Theorem 0.35s 0.57s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM738^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 12:07:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.35/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.57 % SZS status Theorem % 0.35/0.57 % SZS output start Proof % 0.35/0.57 ( % 0.35/0.57 (declare-sort tptp.frac 0) % 0.35/0.57 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.35/0.57 (declare-const tptp.u tptp.frac) % 0.35/0.57 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.35/0.57 (declare-const tptp.z tptp.frac) % 0.35/0.57 (declare-const tptp.lessf (-> tptp.frac tptp.frac Bool)) % 0.35/0.57 (declare-const tptp.x tptp.frac) % 0.35/0.57 (declare-const tptp.y tptp.frac) % 0.35/0.57 (define @t1 () (_ (_ tptp.lessf tptp.x) tptp.y)) % 0.35/0.57 (define @t2 () (_ (_ tptp.eq tptp.x) tptp.z)) % 0.35/0.57 (define @t3 () (_ (_ tptp.eq tptp.y) tptp.u)) % 0.35/0.57 (define @t4 () (@var "Xx" tptp.frac)) % 0.35/0.57 (define @t5 () (@var "Xy" tptp.frac)) % 0.35/0.57 (define @t6 () (_ (_ tptp.lessf @t5) @t4)) % 0.35/0.57 (define @t7 () (_ (_ tptp.moref @t4) @t5)) % 0.35/0.57 (define @t8 () (@list @t4 @t5)) % 0.35/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.35/0.57 (define @t10 () (@var "Xu" tptp.frac)) % 0.35/0.57 (define @t11 () (@var "Xz" tptp.frac)) % 0.35/0.57 (define @t12 () (_ (_ tptp.moref @t11) @t10)) % 0.35/0.57 (define @t13 () (_ (_ tptp.eq @t5) @t10)) % 0.35/0.57 (define @t14 () (=> @t13 @t12)) % 0.35/0.57 (define @t15 () (_ (_ tptp.eq @t4) @t11)) % 0.35/0.57 (define @t16 () (=> @t15 @t14)) % 0.35/0.57 (define @t17 () (@list @t4 @t5 @t11 @t10)) % 0.35/0.57 (define @t18 () (forall @t17 (=> @t7 @t16))) % 0.35/0.57 (define @t19 () (_ (_ tptp.moref @t5) @t4)) % 0.35/0.57 (define @t20 () (_ (_ tptp.lessf @t4) @t5)) % 0.35/0.57 (define @t21 () (forall @t8 (=> @t20 @t19))) % 0.35/0.57 (define @t22 () (_ (_ tptp.lessf tptp.z) tptp.u)) % 0.35/0.57 (define @t23 () (not @t22)) % 0.35/0.57 (define @t24 () (tptp.moref @t11 @t10)) % 0.35/0.57 (define @t25 () (tptp.eq @t5 @t10)) % 0.35/0.57 (define @t26 () (not @t13)) % 0.35/0.57 (define @t27 () (tptp.eq @t4 @t11)) % 0.35/0.57 (define @t28 () (not @t15)) % 0.35/0.57 (define @t29 () (tptp.moref @t4 @t5)) % 0.35/0.57 (define @t30 () (not @t7)) % 0.35/0.57 (define @t31 () (or @t30 @t28 @t26 @t12)) % 0.35/0.57 (define @t32 () (or @t28 @t26 @t12)) % 0.35/0.57 (define @t33 () (tptp.moref @t5 @t4)) % 0.35/0.57 (define @t34 () (tptp.lessf @t4 @t5)) % 0.35/0.57 (define @t35 () (not @t20)) % 0.35/0.57 (define @t36 () (or @t35 @t19)) % 0.35/0.57 (define @t37 () (tptp.lessf tptp.x tptp.y)) % 0.35/0.57 (define @t38 () (tptp.moref tptp.y tptp.x)) % 0.35/0.57 (define @t39 () (not @t37)) % 0.35/0.57 (define @t40 () (or @t39 @t38)) % 0.35/0.57 (define @t41 () (tptp.lessf @t5 @t4)) % 0.35/0.57 (define @t42 () (or @t30 @t6)) % 0.35/0.57 (define @t43 () (tptp.lessf tptp.z tptp.u)) % 0.35/0.57 (define @t44 () (tptp.moref tptp.u tptp.z)) % 0.35/0.57 (define @t45 () (not @t44)) % 0.35/0.57 (define @t46 () (or @t45 @t43)) % 0.35/0.57 (define @t47 () (@list true false)) % 0.35/0.57 (define @t48 () (tptp.eq tptp.y tptp.u)) % 0.35/0.57 (define @t49 () (tptp.eq tptp.x tptp.z)) % 0.35/0.57 (define @t50 () (not @t49)) % 0.35/0.57 (define @t51 () (not @t48)) % 0.35/0.57 (define @t52 () (not @t38)) % 0.35/0.57 (define @t53 () (or @t52 @t51 @t50 @t44)) % 0.35/0.57 (define @t54 () (not @t53)) % 0.35/0.57 (define @t55 () (forall @t17 (or (not @t29) (not @t27) (not @t25) @t24))) % 0.35/0.57 (assume @p1 @t1) % 0.35/0.57 (assume @p2 @t2) % 0.35/0.57 (assume @p3 @t3) % 0.35/0.57 (assume @p4 @t9) % 0.35/0.57 (assume @p5 @t18) % 0.35/0.57 (assume @p6 @t21) % 0.35/0.57 (assume @p7 @t23) % 0.35/0.57 (assume @p8 true) % 0.35/0.57 (step @p9 :rule refl :args (@t24)) % 0.35/0.57 (step @p10 :rule refl :args (@t12)) % 0.35/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t12 @t24))) % 0.35/0.57 (step @p12 :rule symm :premises (@p11)) % 0.35/0.57 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.35/0.57 (step @p14 :rule refl :args (@t25)) % 0.35/0.57 (step @p15 :rule refl :args (@t13)) % 0.35/0.57 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t13 @t25))) % 0.35/0.57 (step @p17 :rule symm :premises (@p16)) % 0.35/0.57 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.35/0.57 (step @p19 :rule cong :premises (@p18) :args (@t26)) % 0.35/0.57 (step @p20 :rule refl :args (@t27)) % 0.35/0.57 (step @p21 :rule refl :args (@t15)) % 0.35/0.57 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t15 @t27))) % 0.35/0.57 (step @p23 :rule symm :premises (@p22)) % 0.35/0.57 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.35/0.57 (step @p25 :rule cong :premises (@p24) :args (@t28)) % 0.35/0.57 (step @p26 :rule refl :args (@t29)) % 0.35/0.57 (step @p27 :rule refl :args (@t7)) % 0.35/0.57 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t7 @t29))) % 0.35/0.57 (step @p29 :rule symm :premises (@p28)) % 0.35/0.57 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.35/0.57 (step @p31 :rule cong :premises (@p30) :args (@t30)) % 0.35/0.57 (step @p32 :rule nary_cong :premises (@p31 @p25 @p19 @p13) :args (@t31)) % 0.35/0.57 (step @p33 :rule cong :premises (@p32) :args ((forall @t17 @t31))) % 0.35/0.57 (step @p34 :rule aci_norm :args ((= (or @t30 @t32) @t31))) % 0.35/0.57 (step @p35 :rule aci_norm :args ((= (or @t28 (or @t26 @t12)) @t32))) % 0.35/0.57 (step @p36 :rule bool-impl-elim :args (@t13 @t12)) % 0.35/0.57 (step @p37 :rule refl :args (@t28)) % 0.35/0.57 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t28 @t14))) % 0.35/0.57 (step @p39 :rule trans :premises (@p38 @p35)) % 0.35/0.57 (step @p40 :rule bool-impl-elim :args (@t15 @t14)) % 0.35/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.35/0.57 (step @p42 :rule refl :args (@t30)) % 0.35/0.57 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t30 @t16))) % 0.35/0.57 (step @p44 :rule trans :premises (@p43 @p34)) % 0.35/0.57 (step @p45 :rule bool-impl-elim :args (@t7 @t16)) % 0.35/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.35/0.57 (step @p47 :rule cong :premises (@p46) :args (@t18)) % 0.35/0.57 (step @p48 :rule trans :premises (@p47 @p33)) % 0.35/0.57 (step @p49 :rule eq_resolve :premises (@p5 @p48)) % 0.35/0.57 (step @p50 :rule refl :args (@t33)) % 0.35/0.57 (step @p51 :rule refl :args (@t19)) % 0.35/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t19 @t33))) % 0.35/0.57 (step @p53 :rule symm :premises (@p52)) % 0.35/0.57 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.35/0.57 (step @p55 :rule refl :args (@t34)) % 0.35/0.57 (step @p56 :rule refl :args (@t20)) % 0.35/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t20 @t34))) % 0.35/0.57 (step @p58 :rule symm :premises (@p57)) % 0.35/0.57 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.35/0.57 (step @p60 :rule cong :premises (@p59) :args (@t35)) % 0.35/0.57 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t36)) % 0.35/0.57 (step @p62 :rule cong :premises (@p61) :args ((forall @t8 @t36))) % 0.35/0.57 (step @p63 :rule bool-impl-elim :args (@t20 @t19)) % 0.35/0.57 (step @p64 :rule cong :premises (@p63) :args (@t21)) % 0.35/0.57 (step @p65 :rule trans :premises (@p64 @p62)) % 0.35/0.57 (step @p66 :rule eq_resolve :premises (@p6 @p65)) % 0.35/0.57 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.x tptp.y))) % 0.35/0.57 (step @p68 :rule refl :args (@t37)) % 0.35/0.57 (step @p69 :rule refl :args (@t1)) % 0.35/0.57 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t1 @t37))) % 0.35/0.57 (step @p71 :rule symm :premises (@p70)) % 0.35/0.57 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.35/0.57 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.35/0.57 (step @p74 :rule cnf_or_pos :args (@t40)) % 0.35/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t39 @t38 (not @t40)))) % 0.35/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67) :args (@t38 (@list false false) (@list @t37 @t40))) % 0.35/0.57 (step @p77 :rule refl :args (@t41)) % 0.35/0.57 (step @p78 :rule refl :args (@t6)) % 0.35/0.57 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t6 @t41))) % 0.35/0.57 (step @p80 :rule symm :premises (@p79)) % 0.35/0.57 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.35/0.57 (step @p82 :rule nary_cong :premises (@p31 @p81) :args (@t42)) % 0.35/0.57 (step @p83 :rule cong :premises (@p82) :args ((forall @t8 @t42))) % 0.35/0.57 (step @p84 :rule bool-impl-elim :args (@t7 @t6)) % 0.35/0.57 (step @p85 :rule cong :premises (@p84) :args (@t9)) % 0.35/0.57 (step @p86 :rule trans :premises (@p85 @p83)) % 0.35/0.57 (step @p87 :rule eq_resolve :premises (@p4 @p86)) % 0.35/0.57 (step @p88 :rule instantiate :premises (@p87) :args ((@list tptp.u tptp.z))) % 0.35/0.57 (step @p89 :rule refl :args (@t43)) % 0.35/0.57 (step @p90 :rule refl :args (@t22)) % 0.35/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t22 @t43))) % 0.35/0.57 (step @p92 :rule symm :premises (@p91)) % 0.35/0.57 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.35/0.57 (step @p94 :rule cong :premises (@p93) :args (@t23)) % 0.35/0.57 (step @p95 :rule eq_resolve :premises (@p7 @p94)) % 0.35/0.57 (step @p96 :rule cnf_or_pos :args (@t46)) % 0.35/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or @t43 @t45 (not @t46)))) % 0.35/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p88) :args (@t45 @t47 (@list @t43 @t46))) % 0.35/0.57 (step @p99 :rule refl :args (@t48)) % 0.35/0.57 (step @p100 :rule refl :args (@t3)) % 0.35/0.57 (step @p101 :rule cong :premises (@p100 @p99) :args ((= @t3 @t48))) % 0.35/0.57 (step @p102 :rule symm :premises (@p101)) % 0.35/0.57 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 0.35/0.57 (step @p104 :rule eq_resolve :premises (@p3 @p103)) % 0.35/0.57 (step @p105 :rule refl :args (@t49)) % 0.35/0.57 (step @p106 :rule refl :args (@t2)) % 0.35/0.57 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t2 @t49))) % 0.35/0.57 (step @p108 :rule symm :premises (@p107)) % 0.35/0.57 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.35/0.57 (step @p110 :rule eq_resolve :premises (@p2 @p109)) % 0.35/0.57 (step @p111 :rule cnf_or_pos :args (@t53)) % 0.35/0.57 (step @p112 :rule reordering :premises (@p111) :args ((or @t50 @t51 @t44 @t52 @t54))) % 0.35/0.57 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p104 @p98 @p76) :args (@t54 (@list false false true false) (@list @t49 @t48 @t44 @t38))) % 0.35/0.57 (assume-push @p120 @t55) % 0.35/0.57 (step @p115 :rule instantiate :premises (@p49) :args ((@list tptp.y tptp.x tptp.u tptp.z))) % 0.35/0.57 (step-pop @p121 :rule scope :premises (@p115)) % 0.35/0.57 (step @p116 :rule process_scope :premises (@p121) :args (@t53)) % 0.35/0.57 (step @p118 :rule implies_elim :premises (@p116)) % 0.35/0.57 (step @p119 false :rule chain_m_resolution :premises (@p118 @p113 @p49) :args (false @t47 (@list @t53 @t55))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------