%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM784^1 : 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 : n027.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 08:40:39 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM784^1 : 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 % 0.16/0.35 % Computer : n027.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:19:51 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.49 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort tptp.rat 0) % 0.36/0.56 (declare-const tptp.less (-> tptp.rat tptp.rat Bool)) % 0.36/0.56 (declare-const tptp.more (-> tptp.rat tptp.rat Bool)) % 0.36/0.56 (declare-const tptp.is (-> tptp.rat tptp.rat Bool)) % 0.36/0.56 (declare-const tptp.x0 tptp.rat) % 0.36/0.56 (declare-const tptp.y0 tptp.rat) % 0.36/0.56 (define @t1 () (_ (_ tptp.is tptp.x0) tptp.y0)) % 0.36/0.56 (define @t2 () (_ (_ tptp.more tptp.x0) tptp.y0)) % 0.36/0.56 (define @t3 () (not @t2)) % 0.36/0.56 (define @t4 () (=> @t3 @t1)) % 0.36/0.56 (define @t5 () (@var "Xa" Bool)) % 0.36/0.56 (define @t6 () (@var "Xy0" tptp.rat)) % 0.36/0.56 (define @t7 () (@var "Xx0" tptp.rat)) % 0.36/0.56 (define @t8 () (_ (_ tptp.is @t7) @t6)) % 0.36/0.56 (define @t9 () (not @t8)) % 0.36/0.56 (define @t10 () (_ (_ tptp.less @t7) @t6)) % 0.36/0.56 (define @t11 () (=> @t10 @t9)) % 0.36/0.56 (define @t12 () (not @t11)) % 0.36/0.56 (define @t13 () (not @t10)) % 0.36/0.56 (define @t14 () (_ (_ tptp.more @t7) @t6)) % 0.36/0.56 (define @t15 () (=> @t14 @t13)) % 0.36/0.56 (define @t16 () (=> @t15 @t12)) % 0.36/0.56 (define @t17 () (not @t16)) % 0.36/0.56 (define @t18 () (not @t14)) % 0.36/0.56 (define @t19 () (=> @t8 @t18)) % 0.36/0.56 (define @t20 () (=> @t19 (not @t17))) % 0.36/0.56 (define @t21 () (not @t20)) % 0.36/0.56 (define @t22 () (@list @t7 @t6)) % 0.36/0.56 (define @t23 () (forall @t22 @t21)) % 0.36/0.56 (define @t24 () (_ (_ tptp.less tptp.x0) tptp.y0)) % 0.36/0.56 (define @t25 () (@var "BOUND_VARIABLE_7493" tptp.rat)) % 0.36/0.56 (define @t26 () (@var "BOUND_VARIABLE_7491" tptp.rat)) % 0.36/0.56 (define @t27 () (tptp.is @t26 @t25)) % 0.36/0.56 (define @t28 () (_ (_ tptp.is @t26) @t25)) % 0.36/0.56 (define @t29 () (not @t28)) % 0.36/0.56 (define @t30 () (tptp.less @t26 @t25)) % 0.36/0.56 (define @t31 () (_ (_ tptp.less @t26) @t25)) % 0.36/0.56 (define @t32 () (not @t31)) % 0.36/0.56 (define @t33 () (or @t32 @t29)) % 0.36/0.56 (define @t34 () (@list @t26 @t25)) % 0.36/0.56 (define @t35 () (forall @t34 @t33)) % 0.36/0.56 (define @t36 () (@var "BOUND_VARIABLE_7480" tptp.rat)) % 0.36/0.56 (define @t37 () (@var "BOUND_VARIABLE_7478" tptp.rat)) % 0.36/0.56 (define @t38 () (tptp.less @t37 @t36)) % 0.36/0.56 (define @t39 () (_ (_ tptp.less @t37) @t36)) % 0.36/0.56 (define @t40 () (not @t39)) % 0.36/0.56 (define @t41 () (tptp.more @t37 @t36)) % 0.36/0.56 (define @t42 () (_ (_ tptp.more @t37) @t36)) % 0.36/0.56 (define @t43 () (not @t42)) % 0.36/0.56 (define @t44 () (or @t43 @t40)) % 0.36/0.56 (define @t45 () (forall (@list @t37 @t36) @t44)) % 0.36/0.56 (define @t46 () (@var "BOUND_VARIABLE_7467" tptp.rat)) % 0.36/0.56 (define @t47 () (@var "BOUND_VARIABLE_7465" tptp.rat)) % 0.36/0.56 (define @t48 () (tptp.more @t47 @t46)) % 0.36/0.56 (define @t49 () (_ (_ tptp.more @t47) @t46)) % 0.36/0.56 (define @t50 () (not @t49)) % 0.36/0.56 (define @t51 () (tptp.is @t47 @t46)) % 0.36/0.56 (define @t52 () (_ (_ tptp.is @t47) @t46)) % 0.36/0.56 (define @t53 () (not @t52)) % 0.36/0.56 (define @t54 () (or @t53 @t50)) % 0.36/0.56 (define @t55 () (forall (@list @t47 @t46) @t54)) % 0.36/0.56 (define @t56 () (or @t13 @t9)) % 0.36/0.56 (define @t57 () (forall @t22 @t56)) % 0.36/0.56 (define @t58 () (@list @t7 @t6)) % 0.36/0.56 (define @t59 () (or @t18 @t13)) % 0.36/0.56 (define @t60 () (forall @t22 @t59)) % 0.36/0.56 (define @t61 () (or @t9 @t18)) % 0.36/0.56 (define @t62 () (forall @t22 @t61)) % 0.36/0.56 (define @t63 () (and @t62 @t60 @t57)) % 0.36/0.56 (define @t64 () (and @t61 @t59 @t56)) % 0.36/0.56 (define @t65 () (tptp.less tptp.x0 tptp.y0)) % 0.36/0.56 (define @t66 () (@list tptp.x0 tptp.y0)) % 0.36/0.56 (define @t67 () (not @t65)) % 0.36/0.56 (define @t68 () (tptp.more tptp.x0 tptp.y0)) % 0.36/0.56 (define @t69 () (not @t68)) % 0.36/0.56 (define @t70 () (or @t69 @t67)) % 0.36/0.56 (define @t71 () (@list false false)) % 0.36/0.56 (define @t72 () (tptp.is tptp.x0 tptp.y0)) % 0.36/0.56 (define @t73 () (not @t72)) % 0.36/0.56 (define @t74 () (or @t67 @t73)) % 0.36/0.56 (define @t75 () (not @t74)) % 0.36/0.56 (define @t76 () (forall @t34 (or (not @t30) (not @t27)))) % 0.36/0.56 (assume @p1 @t4) % 0.36/0.56 (assume @p2 (forall (@list @t5) (=> (not (not @t5)) @t5))) % 0.36/0.56 (assume @p3 @t23) % 0.36/0.56 (assume @p4 (not (not @t24))) % 0.36/0.56 (assume @p5 true) % 0.36/0.56 (step @p6 :rule refl :args (@t27)) % 0.36/0.56 (step @p7 :rule refl :args (@t28)) % 0.36/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t28 @t27))) % 0.36/0.56 (step @p9 :rule symm :premises (@p8)) % 0.36/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.36/0.56 (step @p11 :rule cong :premises (@p10) :args (@t29)) % 0.36/0.56 (step @p12 :rule refl :args (@t30)) % 0.36/0.56 (step @p13 :rule refl :args (@t31)) % 0.36/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t31 @t30))) % 0.36/0.56 (step @p15 :rule symm :premises (@p14)) % 0.36/0.56 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.36/0.56 (step @p17 :rule cong :premises (@p16) :args (@t32)) % 0.36/0.56 (step @p18 :rule nary_cong :premises (@p17 @p11) :args (@t33)) % 0.36/0.56 (step @p19 :rule cong :premises (@p18) :args (@t35)) % 0.36/0.56 (step @p20 :rule refl :args (@t38)) % 0.36/0.56 (step @p21 :rule refl :args (@t39)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t39 @t38))) % 0.36/0.56 (step @p23 :rule symm :premises (@p22)) % 0.36/0.56 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24) :args (@t40)) % 0.36/0.56 (step @p26 :rule refl :args (@t41)) % 0.36/0.56 (step @p27 :rule refl :args (@t42)) % 0.36/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t42 @t41))) % 0.36/0.56 (step @p29 :rule symm :premises (@p28)) % 0.36/0.56 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.36/0.56 (step @p31 :rule cong :premises (@p30) :args (@t43)) % 0.36/0.56 (step @p32 :rule nary_cong :premises (@p31 @p25) :args (@t44)) % 0.36/0.56 (step @p33 :rule cong :premises (@p32) :args (@t45)) % 0.36/0.56 (step @p34 :rule refl :args (@t48)) % 0.36/0.56 (step @p35 :rule refl :args (@t49)) % 0.36/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t49 @t48))) % 0.36/0.56 (step @p37 :rule symm :premises (@p36)) % 0.36/0.56 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.36/0.56 (step @p39 :rule cong :premises (@p38) :args (@t50)) % 0.36/0.56 (step @p40 :rule refl :args (@t51)) % 0.36/0.56 (step @p41 :rule refl :args (@t52)) % 0.36/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t52 @t51))) % 0.36/0.56 (step @p43 :rule symm :premises (@p42)) % 0.36/0.56 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.36/0.56 (step @p45 :rule cong :premises (@p44) :args (@t53)) % 0.36/0.56 (step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t54)) % 0.36/0.56 (step @p47 :rule cong :premises (@p46) :args (@t55)) % 0.36/0.56 (step @p48 :rule nary_cong :premises (@p47 @p33 @p19) :args ((and @t55 @t45 @t35))) % 0.36/0.56 (step @p49 :rule alpha_equiv :args (@t57 @t58 (@list @t26 @t25))) % 0.36/0.56 (step @p50 :rule alpha_equiv :args (@t60 @t58 (@list @t37 @t36))) % 0.36/0.56 (step @p51 :rule alpha_equiv :args (@t62 @t58 (@list @t47 @t46))) % 0.36/0.56 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t63)) % 0.36/0.56 (step @p53 :rule quant-miniscope-and :args ((= (forall @t22 @t64) @t63))) % 0.36/0.56 (step @p54 :rule trans :premises (@p53 @p52)) % 0.36/0.56 (step @p55 :rule trans :premises (@p54 @p48)) % 0.36/0.56 (step @p56 :rule aci_norm :args ((= (and @t61 (and @t59 @t56)) @t64))) % 0.36/0.56 (step @p57 :rule bool-impl-elim :args (@t10 @t9)) % 0.36/0.56 (step @p58 :rule bool-impl-elim :args (@t14 @t13)) % 0.36/0.56 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((and @t15 @t11))) % 0.36/0.56 (step @p60 :rule bool-double-not-elim :args (@t11)) % 0.36/0.56 (step @p61 :rule refl :args (@t15)) % 0.36/0.56 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((and @t15 (not @t12)))) % 0.36/0.56 (step @p63 :rule bool-implies-de-morgan :args (@t15 @t12)) % 0.36/0.56 (step @p64 :rule trans :premises (@p63 @p62)) % 0.36/0.56 (step @p65 :rule trans :premises (@p64 @p59)) % 0.36/0.56 (step @p66 :rule bool-impl-elim :args (@t8 @t18)) % 0.36/0.56 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((and @t19 @t17))) % 0.36/0.56 (step @p68 :rule trans :premises (@p67 @p56)) % 0.36/0.56 (step @p69 :rule bool-implies-de-morgan :args (@t19 @t16)) % 0.36/0.56 (step @p70 :rule trans :premises (@p69 @p68)) % 0.36/0.56 (step @p71 :rule cong :premises (@p70) :args ((forall @t22 (not (=> @t19 @t16))))) % 0.36/0.56 (step @p72 :rule trans :premises (@p71 @p55)) % 0.36/0.56 (step @p73 :rule bool-double-not-elim :args (@t16)) % 0.36/0.56 (step @p74 :rule refl :args (@t19)) % 0.36/0.56 (step @p75 :rule cong :premises (@p74 @p73) :args (@t20)) % 0.36/0.56 (step @p76 :rule cong :premises (@p75) :args (@t21)) % 0.36/0.56 (step @p77 :rule cong :premises (@p76) :args (@t23)) % 0.36/0.56 (step @p78 :rule trans :premises (@p77 @p72)) % 0.36/0.56 (step @p79 :rule eq_resolve :premises (@p3 @p78)) % 0.36/0.56 (step @p80 :rule and_elim :premises (@p79) :args (2)) % 0.36/0.56 (step @p81 :rule refl :args (@t65)) % 0.36/0.56 (step @p82 :rule refl :args (@t24)) % 0.36/0.56 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t24 @t65))) % 0.36/0.56 (step @p84 :rule symm :premises (@p83)) % 0.36/0.56 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.36/0.56 (step @p86 :rule bool-double-not-elim :args (@t24)) % 0.36/0.56 (step @p87 :rule trans :premises (@p86 @p85)) % 0.36/0.56 (step @p88 :rule eq_resolve :premises (@p4 @p87)) % 0.36/0.56 (step @p89 :rule and_elim :premises (@p79) :args (1)) % 0.36/0.56 (step @p90 :rule instantiate :premises (@p89) :args (@t66)) % 0.36/0.56 (step @p91 :rule cnf_or_pos :args (@t70)) % 0.36/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t69 @t67 (not @t70)))) % 0.36/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p88 @p90) :args (@t69 @t71 (@list @t65 @t70))) % 0.36/0.56 (step @p94 :rule refl :args (@t72)) % 0.36/0.56 (step @p95 :rule bool-double-not-elim :args (@t68)) % 0.36/0.56 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t69) @t72))) % 0.36/0.56 (step @p97 :rule refl :args (@t72)) % 0.36/0.56 (step @p98 :rule refl :args (@t1)) % 0.36/0.56 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t1 @t72))) % 0.36/0.56 (step @p100 :rule symm :premises (@p99)) % 0.36/0.56 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 0.36/0.56 (step @p102 :rule refl :args (@t68)) % 0.36/0.56 (step @p103 :rule refl :args (@t2)) % 0.36/0.56 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t2 @t68))) % 0.36/0.56 (step @p105 :rule symm :premises (@p104)) % 0.36/0.56 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.36/0.56 (step @p107 :rule cong :premises (@p106) :args (@t3)) % 0.36/0.56 (step @p108 :rule cong :premises (@p107 @p101) :args (@t4)) % 0.36/0.56 (step @p109 :rule eq_resolve :premises (@p1 @p108)) % 0.36/0.56 (step @p110 :rule implies_elim :premises (@p109)) % 0.36/0.56 (step @p111 :rule eq_resolve :premises (@p110 @p96)) % 0.36/0.56 (step @p112 :rule reordering :premises (@p111) :args ((or @t72 @t68))) % 0.36/0.56 (step @p113 :rule chain_m_resolution :premises (@p112 @p93) :args (@t72 (@list true) (@list @t68))) % 0.36/0.56 (step @p114 :rule cnf_or_pos :args (@t74)) % 0.36/0.56 (step @p115 :rule reordering :premises (@p114) :args ((or @t73 @t67 @t75))) % 0.36/0.56 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p88) :args (@t75 @t71 (@list @t72 @t65))) % 0.36/0.56 (assume-push @p123 @t76) % 0.36/0.56 (step @p118 :rule instantiate :premises (@p80) :args (@t66)) % 0.36/0.56 (step-pop @p124 :rule scope :premises (@p118)) % 0.36/0.56 (step @p119 :rule process_scope :premises (@p124) :args (@t74)) % 0.36/0.56 (step @p121 :rule implies_elim :premises (@p119)) % 0.36/0.56 (step @p122 false :rule chain_m_resolution :premises (@p121 @p116 @p80) :args (false (@list true false) (@list @t74 @t76))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------