%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM792^1 : 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 : n015.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 08:40:42 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 : NUM792^1 : 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 : n015.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 12:22:34 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.rat 0) % 0.30/0.55 (declare-const tptp.lessis (-> tptp.rat tptp.rat Bool)) % 0.30/0.55 (declare-const tptp.z0 tptp.rat) % 0.30/0.55 (declare-const tptp.less (-> tptp.rat tptp.rat Bool)) % 0.30/0.55 (declare-const tptp.moreis (-> tptp.rat tptp.rat Bool)) % 0.30/0.55 (declare-const tptp.x0 tptp.rat) % 0.30/0.55 (declare-const tptp.more (-> tptp.rat tptp.rat Bool)) % 0.30/0.55 (declare-const tptp.y0 tptp.rat) % 0.30/0.55 (define @t1 () (_ (_ tptp.moreis tptp.x0) tptp.y0)) % 0.30/0.55 (define @t2 () (_ (_ tptp.more tptp.y0) tptp.z0)) % 0.30/0.55 (define @t3 () (@var "Xx0" tptp.rat)) % 0.30/0.55 (define @t4 () (@var "Xy0" tptp.rat)) % 0.30/0.55 (define @t5 () (_ (_ tptp.more @t4) @t3)) % 0.30/0.55 (define @t6 () (_ tptp.less @t3)) % 0.30/0.55 (define @t7 () (_ @t6 @t4)) % 0.30/0.55 (define @t8 () (@list @t3 @t4)) % 0.30/0.55 (define @t9 () (forall @t8 (=> @t7 @t5))) % 0.30/0.55 (define @t10 () (@var "Xz0" tptp.rat)) % 0.30/0.55 (define @t11 () (_ @t6 @t10)) % 0.30/0.55 (define @t12 () (_ tptp.lessis @t4)) % 0.30/0.55 (define @t13 () (_ @t12 @t10)) % 0.30/0.55 (define @t14 () (=> @t13 @t11)) % 0.30/0.55 (define @t15 () (@list @t3 @t4 @t10)) % 0.30/0.55 (define @t16 () (forall @t15 (=> @t7 @t14))) % 0.30/0.55 (define @t17 () (_ (_ tptp.less @t4) @t3)) % 0.30/0.55 (define @t18 () (_ (_ tptp.more @t3) @t4)) % 0.30/0.55 (define @t19 () (forall @t8 (=> @t18 @t17))) % 0.30/0.55 (define @t20 () (_ @t12 @t3)) % 0.30/0.55 (define @t21 () (_ (_ tptp.moreis @t3) @t4)) % 0.30/0.55 (define @t22 () (forall @t8 (=> @t21 @t20))) % 0.30/0.55 (define @t23 () (_ (_ tptp.more tptp.x0) tptp.z0)) % 0.30/0.55 (define @t24 () (not @t23)) % 0.30/0.55 (define @t25 () (tptp.less @t3 @t10)) % 0.30/0.55 (define @t26 () (tptp.lessis @t4 @t10)) % 0.30/0.55 (define @t27 () (not @t13)) % 0.30/0.55 (define @t28 () (tptp.less @t3 @t4)) % 0.30/0.55 (define @t29 () (not @t7)) % 0.30/0.55 (define @t30 () (or @t29 @t27 @t11)) % 0.30/0.55 (define @t31 () (tptp.lessis @t4 @t3)) % 0.30/0.55 (define @t32 () (tptp.moreis @t3 @t4)) % 0.30/0.55 (define @t33 () (not @t21)) % 0.30/0.55 (define @t34 () (or @t33 @t20)) % 0.30/0.55 (define @t35 () (tptp.moreis tptp.x0 tptp.y0)) % 0.30/0.55 (define @t36 () (tptp.lessis tptp.y0 tptp.x0)) % 0.30/0.55 (define @t37 () (not @t35)) % 0.30/0.55 (define @t38 () (or @t37 @t36)) % 0.30/0.55 (define @t39 () (@list false false)) % 0.30/0.55 (define @t40 () (tptp.less @t4 @t3)) % 0.30/0.55 (define @t41 () (tptp.more @t3 @t4)) % 0.30/0.55 (define @t42 () (not @t18)) % 0.30/0.55 (define @t43 () (or @t42 @t17)) % 0.30/0.55 (define @t44 () (tptp.more tptp.y0 tptp.z0)) % 0.30/0.55 (define @t45 () (tptp.less tptp.z0 tptp.y0)) % 0.30/0.55 (define @t46 () (not @t44)) % 0.30/0.55 (define @t47 () (or @t46 @t45)) % 0.30/0.55 (define @t48 () (tptp.more @t4 @t3)) % 0.30/0.55 (define @t49 () (or @t29 @t5)) % 0.30/0.55 (define @t50 () (tptp.more tptp.x0 tptp.z0)) % 0.30/0.55 (define @t51 () (tptp.less tptp.z0 tptp.x0)) % 0.30/0.55 (define @t52 () (not @t51)) % 0.30/0.55 (define @t53 () (or @t52 @t50)) % 0.30/0.55 (define @t54 () (@list true false)) % 0.30/0.55 (define @t55 () (not @t36)) % 0.30/0.55 (define @t56 () (not @t45)) % 0.30/0.55 (define @t57 () (or @t56 @t55 @t51)) % 0.30/0.55 (define @t58 () (not @t57)) % 0.30/0.55 (define @t59 () (forall @t15 (or (not @t28) (not @t26) @t25))) % 0.30/0.55 (assume @p1 @t1) % 0.30/0.55 (assume @p2 @t2) % 0.30/0.55 (assume @p3 @t9) % 0.30/0.55 (assume @p4 @t16) % 0.30/0.55 (assume @p5 @t19) % 0.30/0.55 (assume @p6 @t22) % 0.30/0.55 (assume @p7 @t24) % 0.30/0.55 (assume @p8 true) % 0.30/0.55 (step @p9 :rule refl :args (@t25)) % 0.30/0.55 (step @p10 :rule refl :args (@t11)) % 0.30/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t11 @t25))) % 0.30/0.55 (step @p12 :rule symm :premises (@p11)) % 0.30/0.55 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.30/0.55 (step @p14 :rule refl :args (@t26)) % 0.30/0.55 (step @p15 :rule refl :args (@t13)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t13 @t26))) % 0.30/0.55 (step @p17 :rule symm :premises (@p16)) % 0.30/0.55 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18) :args (@t27)) % 0.30/0.55 (step @p20 :rule refl :args (@t28)) % 0.30/0.55 (step @p21 :rule refl :args (@t7)) % 0.30/0.55 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t7 @t28))) % 0.30/0.55 (step @p23 :rule symm :premises (@p22)) % 0.30/0.55 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.30/0.55 (step @p25 :rule cong :premises (@p24) :args (@t29)) % 0.30/0.55 (step @p26 :rule nary_cong :premises (@p25 @p19 @p13) :args (@t30)) % 0.30/0.55 (step @p27 :rule cong :premises (@p26) :args ((forall @t15 @t30))) % 0.30/0.55 (step @p28 :rule aci_norm :args ((= (or @t29 (or @t27 @t11)) @t30))) % 0.30/0.55 (step @p29 :rule bool-impl-elim :args (@t13 @t11)) % 0.30/0.55 (step @p30 :rule refl :args (@t29)) % 0.30/0.55 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t29 @t14))) % 0.30/0.55 (step @p32 :rule trans :premises (@p31 @p28)) % 0.30/0.55 (step @p33 :rule bool-impl-elim :args (@t7 @t14)) % 0.30/0.55 (step @p34 :rule trans :premises (@p33 @p32)) % 0.30/0.55 (step @p35 :rule cong :premises (@p34) :args (@t16)) % 0.30/0.55 (step @p36 :rule trans :premises (@p35 @p27)) % 0.30/0.55 (step @p37 :rule eq_resolve :premises (@p4 @p36)) % 0.30/0.55 (step @p38 :rule refl :args (@t31)) % 0.30/0.55 (step @p39 :rule refl :args (@t20)) % 0.30/0.55 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t20 @t31))) % 0.30/0.55 (step @p41 :rule symm :premises (@p40)) % 0.30/0.55 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.30/0.55 (step @p43 :rule refl :args (@t32)) % 0.30/0.55 (step @p44 :rule refl :args (@t21)) % 0.30/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t21 @t32))) % 0.30/0.55 (step @p46 :rule symm :premises (@p45)) % 0.30/0.55 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47) :args (@t33)) % 0.30/0.55 (step @p49 :rule nary_cong :premises (@p48 @p42) :args (@t34)) % 0.30/0.55 (step @p50 :rule cong :premises (@p49) :args ((forall @t8 @t34))) % 0.30/0.55 (step @p51 :rule bool-impl-elim :args (@t21 @t20)) % 0.30/0.55 (step @p52 :rule cong :premises (@p51) :args (@t22)) % 0.30/0.55 (step @p53 :rule trans :premises (@p52 @p50)) % 0.30/0.55 (step @p54 :rule eq_resolve :premises (@p6 @p53)) % 0.30/0.55 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.x0 tptp.y0))) % 0.30/0.55 (step @p56 :rule refl :args (@t35)) % 0.30/0.55 (step @p57 :rule refl :args (@t1)) % 0.30/0.55 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t1 @t35))) % 0.30/0.55 (step @p59 :rule symm :premises (@p58)) % 0.30/0.55 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.30/0.55 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 0.30/0.55 (step @p62 :rule cnf_or_pos :args (@t38)) % 0.30/0.55 (step @p63 :rule reordering :premises (@p62) :args ((or @t37 @t36 (not @t38)))) % 0.30/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p55) :args (@t36 @t39 (@list @t35 @t38))) % 0.30/0.55 (step @p65 :rule refl :args (@t40)) % 0.30/0.55 (step @p66 :rule refl :args (@t17)) % 0.30/0.55 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t17 @t40))) % 0.30/0.55 (step @p68 :rule symm :premises (@p67)) % 0.30/0.55 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.30/0.55 (step @p70 :rule refl :args (@t41)) % 0.30/0.55 (step @p71 :rule refl :args (@t18)) % 0.30/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t18 @t41))) % 0.30/0.55 (step @p73 :rule symm :premises (@p72)) % 0.30/0.55 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.30/0.55 (step @p75 :rule cong :premises (@p74) :args (@t42)) % 0.30/0.55 (step @p76 :rule nary_cong :premises (@p75 @p69) :args (@t43)) % 0.30/0.55 (step @p77 :rule cong :premises (@p76) :args ((forall @t8 @t43))) % 0.30/0.55 (step @p78 :rule bool-impl-elim :args (@t18 @t17)) % 0.30/0.55 (step @p79 :rule cong :premises (@p78) :args (@t19)) % 0.30/0.55 (step @p80 :rule trans :premises (@p79 @p77)) % 0.30/0.55 (step @p81 :rule eq_resolve :premises (@p5 @p80)) % 0.30/0.55 (step @p82 :rule instantiate :premises (@p81) :args ((@list tptp.y0 tptp.z0))) % 0.30/0.55 (step @p83 :rule refl :args (@t44)) % 0.30/0.55 (step @p84 :rule refl :args (@t2)) % 0.30/0.55 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t2 @t44))) % 0.30/0.55 (step @p86 :rule symm :premises (@p85)) % 0.30/0.55 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.30/0.55 (step @p88 :rule eq_resolve :premises (@p2 @p87)) % 0.30/0.55 (step @p89 :rule cnf_or_pos :args (@t47)) % 0.30/0.55 (step @p90 :rule reordering :premises (@p89) :args ((or @t46 @t45 (not @t47)))) % 0.30/0.55 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p82) :args (@t45 @t39 (@list @t44 @t47))) % 0.30/0.55 (step @p92 :rule refl :args (@t48)) % 0.30/0.55 (step @p93 :rule refl :args (@t5)) % 0.30/0.55 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t5 @t48))) % 0.30/0.55 (step @p95 :rule symm :premises (@p94)) % 0.30/0.55 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.30/0.55 (step @p97 :rule nary_cong :premises (@p25 @p96) :args (@t49)) % 0.30/0.55 (step @p98 :rule cong :premises (@p97) :args ((forall @t8 @t49))) % 0.30/0.55 (step @p99 :rule bool-impl-elim :args (@t7 @t5)) % 0.30/0.55 (step @p100 :rule cong :premises (@p99) :args (@t9)) % 0.30/0.55 (step @p101 :rule trans :premises (@p100 @p98)) % 0.30/0.55 (step @p102 :rule eq_resolve :premises (@p3 @p101)) % 0.30/0.55 (step @p103 :rule instantiate :premises (@p102) :args ((@list tptp.z0 tptp.x0))) % 0.30/0.55 (step @p104 :rule refl :args (@t50)) % 0.30/0.55 (step @p105 :rule refl :args (@t23)) % 0.30/0.55 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t23 @t50))) % 0.30/0.55 (step @p107 :rule symm :premises (@p106)) % 0.30/0.55 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.30/0.55 (step @p109 :rule cong :premises (@p108) :args (@t24)) % 0.30/0.55 (step @p110 :rule eq_resolve :premises (@p7 @p109)) % 0.30/0.55 (step @p111 :rule cnf_or_pos :args (@t53)) % 0.30/0.55 (step @p112 :rule reordering :premises (@p111) :args ((or @t50 @t52 (not @t53)))) % 0.30/0.55 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p103) :args (@t52 @t54 (@list @t50 @t53))) % 0.30/0.55 (step @p114 :rule cnf_or_pos :args (@t57)) % 0.30/0.55 (step @p115 :rule reordering :premises (@p114) :args ((or @t51 @t56 @t55 @t58))) % 0.30/0.55 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p91 @p64) :args (@t58 (@list true false false) (@list @t51 @t45 @t36))) % 0.30/0.55 (assume-push @p123 @t59) % 0.30/0.55 (step @p118 :rule instantiate :premises (@p37) :args ((@list tptp.z0 tptp.y0 tptp.x0))) % 0.30/0.55 (step-pop @p124 :rule scope :premises (@p118)) % 0.30/0.55 (step @p119 :rule process_scope :premises (@p124) :args (@t57)) % 0.30/0.55 (step @p121 :rule implies_elim :premises (@p119)) % 0.30/0.55 (step @p122 false :rule chain_m_resolution :premises (@p121 @p116 @p37) :args (false @t54 (@list @t57 @t59))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------