%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM796^1 : 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 : n008.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 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM796^1 : 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 : n008.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 12:23:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort tptp.rat 0) % 0.38/0.56 (declare-const tptp.pl (-> tptp.rat tptp.rat tptp.rat)) % 0.38/0.56 (declare-const tptp.more (-> tptp.rat tptp.rat Bool)) % 0.38/0.56 (declare-const tptp.lessis (-> tptp.rat tptp.rat Bool)) % 0.38/0.56 (declare-const tptp.z0 tptp.rat) % 0.38/0.56 (declare-const tptp.u0 tptp.rat) % 0.38/0.56 (declare-const tptp.moreis (-> tptp.rat tptp.rat Bool)) % 0.38/0.56 (declare-const tptp.less (-> tptp.rat tptp.rat Bool)) % 0.38/0.56 (declare-const tptp.x0 tptp.rat) % 0.38/0.56 (declare-const tptp.y0 tptp.rat) % 0.38/0.56 (define @t1 () (_ (_ tptp.less tptp.x0) tptp.y0)) % 0.38/0.56 (define @t2 () (_ (_ tptp.lessis tptp.z0) tptp.u0)) % 0.38/0.56 (define @t3 () (@var "Xx0" tptp.rat)) % 0.38/0.56 (define @t4 () (@var "Xy0" tptp.rat)) % 0.38/0.56 (define @t5 () (_ (_ tptp.less @t4) @t3)) % 0.38/0.56 (define @t6 () (_ (_ tptp.more @t3) @t4)) % 0.38/0.56 (define @t7 () (@list @t3 @t4)) % 0.38/0.56 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.38/0.56 (define @t9 () (@var "Xu0" tptp.rat)) % 0.38/0.56 (define @t10 () (_ (_ tptp.pl @t4) @t9)) % 0.38/0.56 (define @t11 () (@var "Xz0" tptp.rat)) % 0.38/0.56 (define @t12 () (_ (_ tptp.pl @t3) @t11)) % 0.38/0.56 (define @t13 () (_ (_ tptp.more @t12) @t10)) % 0.38/0.56 (define @t14 () (_ (_ tptp.moreis @t11) @t9)) % 0.38/0.56 (define @t15 () (=> @t14 @t13)) % 0.38/0.56 (define @t16 () (@list @t3 @t4 @t11 @t9)) % 0.38/0.56 (define @t17 () (forall @t16 (=> @t6 @t15))) % 0.38/0.56 (define @t18 () (_ (_ tptp.more @t4) @t3)) % 0.38/0.56 (define @t19 () (_ (_ tptp.less @t3) @t4)) % 0.38/0.56 (define @t20 () (forall @t7 (=> @t19 @t18))) % 0.38/0.56 (define @t21 () (_ (_ tptp.moreis @t4) @t3)) % 0.38/0.56 (define @t22 () (_ (_ tptp.lessis @t3) @t4)) % 0.38/0.56 (define @t23 () (forall @t7 (=> @t22 @t21))) % 0.38/0.56 (define @t24 () (_ (_ tptp.pl tptp.y0) tptp.u0)) % 0.38/0.56 (define @t25 () (_ (_ tptp.pl tptp.x0) tptp.z0)) % 0.38/0.56 (define @t26 () (_ (_ tptp.less @t25) @t24)) % 0.38/0.56 (define @t27 () (not @t26)) % 0.38/0.56 (define @t28 () (tptp.pl @t4 @t9)) % 0.38/0.56 (define @t29 () (tptp.pl @t3 @t11)) % 0.38/0.56 (define @t30 () (tptp.more @t29 @t28)) % 0.38/0.56 (define @t31 () (tptp.moreis @t11 @t9)) % 0.38/0.56 (define @t32 () (not @t14)) % 0.38/0.56 (define @t33 () (tptp.more @t3 @t4)) % 0.38/0.56 (define @t34 () (not @t6)) % 0.38/0.56 (define @t35 () (or @t34 @t32 @t13)) % 0.38/0.56 (define @t36 () (tptp.moreis @t4 @t3)) % 0.38/0.56 (define @t37 () (tptp.lessis @t3 @t4)) % 0.38/0.56 (define @t38 () (not @t22)) % 0.38/0.56 (define @t39 () (or @t38 @t21)) % 0.38/0.56 (define @t40 () (tptp.lessis tptp.z0 tptp.u0)) % 0.38/0.56 (define @t41 () (tptp.moreis tptp.u0 tptp.z0)) % 0.38/0.56 (define @t42 () (not @t40)) % 0.38/0.56 (define @t43 () (or @t42 @t41)) % 0.38/0.56 (define @t44 () (@list false false)) % 0.38/0.56 (define @t45 () (tptp.more @t4 @t3)) % 0.38/0.56 (define @t46 () (tptp.less @t3 @t4)) % 0.38/0.56 (define @t47 () (not @t19)) % 0.38/0.56 (define @t48 () (or @t47 @t18)) % 0.38/0.56 (define @t49 () (tptp.less tptp.x0 tptp.y0)) % 0.38/0.56 (define @t50 () (tptp.more tptp.y0 tptp.x0)) % 0.38/0.56 (define @t51 () (not @t49)) % 0.38/0.56 (define @t52 () (or @t51 @t50)) % 0.38/0.56 (define @t53 () (tptp.less @t4 @t3)) % 0.38/0.56 (define @t54 () (or @t34 @t5)) % 0.38/0.56 (define @t55 () (tptp.pl tptp.x0 tptp.z0)) % 0.38/0.56 (define @t56 () (tptp.pl tptp.y0 tptp.u0)) % 0.38/0.56 (define @t57 () (tptp.less @t55 @t56)) % 0.38/0.56 (define @t58 () (tptp.more @t56 @t55)) % 0.38/0.56 (define @t59 () (not @t58)) % 0.38/0.56 (define @t60 () (or @t59 @t57)) % 0.38/0.56 (define @t61 () (@list true false)) % 0.38/0.56 (define @t62 () (not @t41)) % 0.38/0.56 (define @t63 () (not @t50)) % 0.38/0.56 (define @t64 () (or @t63 @t62 @t58)) % 0.38/0.56 (define @t65 () (not @t64)) % 0.38/0.56 (define @t66 () (forall @t16 (or (not @t33) (not @t31) @t30))) % 0.38/0.56 (assume @p1 @t1) % 0.38/0.56 (assume @p2 @t2) % 0.38/0.56 (assume @p3 @t8) % 0.38/0.56 (assume @p4 @t17) % 0.38/0.56 (assume @p5 @t20) % 0.38/0.56 (assume @p6 @t23) % 0.38/0.56 (assume @p7 @t27) % 0.38/0.56 (assume @p8 true) % 0.38/0.56 (step @p9 :rule refl :args ((tptp.more @t12 @t10))) % 0.38/0.56 (step @p10 :rule refl :args (@t28)) % 0.38/0.56 (step @p11 :rule refl :args (@t29)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t30)) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.56 (step @p14 :rule refl :args (tptp.more)) % 0.38/0.56 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.38/0.56 (step @p16 :rule ho_cong :premises (@p15 @p10)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ (_ tptp.more @t29) @t28) @t30))) % 0.38/0.56 (step @p18 :rule symm :premises (@p17)) % 0.38/0.56 (step @p19 :rule refl :args (@t13)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.38/0.56 (step @p21 :rule refl :args (@t10)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21 @p10) :args ((= @t10 @t28))) % 0.38/0.56 (step @p23 :rule symm :premises (@p22)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.38/0.56 (step @p25 :rule refl :args (@t12)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25 @p11) :args ((= @t12 @t29))) % 0.38/0.56 (step @p27 :rule symm :premises (@p26)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.38/0.56 (step @p29 :rule ho_cong :premises (@p14 @p28)) % 0.38/0.56 (step @p30 :rule ho_cong :premises (@p29 @p24)) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p20)) % 0.38/0.56 (step @p32 :rule refl :args (@t31)) % 0.38/0.56 (step @p33 :rule refl :args (@t14)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t14 @t31))) % 0.38/0.56 (step @p35 :rule symm :premises (@p34)) % 0.38/0.56 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36) :args (@t32)) % 0.38/0.56 (step @p38 :rule refl :args (@t33)) % 0.38/0.56 (step @p39 :rule refl :args (@t6)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t6 @t33))) % 0.38/0.56 (step @p41 :rule symm :premises (@p40)) % 0.38/0.56 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42) :args (@t34)) % 0.38/0.56 (step @p44 :rule nary_cong :premises (@p43 @p37 @p31) :args (@t35)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t16 @t35))) % 0.38/0.56 (step @p46 :rule aci_norm :args ((= (or @t34 (or @t32 @t13)) @t35))) % 0.38/0.56 (step @p47 :rule bool-impl-elim :args (@t14 @t13)) % 0.38/0.56 (step @p48 :rule refl :args (@t34)) % 0.38/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t34 @t15))) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p46)) % 0.38/0.56 (step @p51 :rule bool-impl-elim :args (@t6 @t15)) % 0.38/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52) :args (@t17)) % 0.38/0.56 (step @p54 :rule trans :premises (@p53 @p45)) % 0.38/0.56 (step @p55 :rule eq_resolve :premises (@p4 @p54)) % 0.38/0.56 (step @p56 :rule refl :args (@t36)) % 0.38/0.56 (step @p57 :rule refl :args (@t21)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t21 @t36))) % 0.38/0.56 (step @p59 :rule symm :premises (@p58)) % 0.38/0.56 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.38/0.56 (step @p61 :rule refl :args (@t37)) % 0.38/0.56 (step @p62 :rule refl :args (@t22)) % 0.38/0.56 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t22 @t37))) % 0.38/0.56 (step @p64 :rule symm :premises (@p63)) % 0.38/0.56 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.38/0.56 (step @p66 :rule cong :premises (@p65) :args (@t38)) % 0.38/0.56 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t39)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67) :args ((forall @t7 @t39))) % 0.38/0.56 (step @p69 :rule bool-impl-elim :args (@t22 @t21)) % 0.38/0.56 (step @p70 :rule cong :premises (@p69) :args (@t23)) % 0.38/0.56 (step @p71 :rule trans :premises (@p70 @p68)) % 0.38/0.56 (step @p72 :rule eq_resolve :premises (@p6 @p71)) % 0.38/0.56 (step @p73 :rule instantiate :premises (@p72) :args ((@list tptp.z0 tptp.u0))) % 0.38/0.56 (step @p74 :rule refl :args (@t40)) % 0.38/0.56 (step @p75 :rule refl :args (@t2)) % 0.38/0.56 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t2 @t40))) % 0.38/0.56 (step @p77 :rule symm :premises (@p76)) % 0.38/0.56 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.38/0.56 (step @p79 :rule eq_resolve :premises (@p2 @p78)) % 0.38/0.56 (step @p80 :rule cnf_or_pos :args (@t43)) % 0.38/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t42 @t41 (not @t43)))) % 0.38/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p73) :args (@t41 @t44 (@list @t40 @t43))) % 0.38/0.56 (step @p83 :rule refl :args (@t45)) % 0.38/0.56 (step @p84 :rule refl :args (@t18)) % 0.38/0.56 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t18 @t45))) % 0.38/0.56 (step @p86 :rule symm :premises (@p85)) % 0.38/0.56 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.38/0.56 (step @p88 :rule refl :args (@t46)) % 0.38/0.56 (step @p89 :rule refl :args (@t19)) % 0.38/0.56 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t19 @t46))) % 0.38/0.56 (step @p91 :rule symm :premises (@p90)) % 0.38/0.56 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92) :args (@t47)) % 0.38/0.56 (step @p94 :rule nary_cong :premises (@p93 @p87) :args (@t48)) % 0.38/0.56 (step @p95 :rule cong :premises (@p94) :args ((forall @t7 @t48))) % 0.38/0.56 (step @p96 :rule bool-impl-elim :args (@t19 @t18)) % 0.38/0.56 (step @p97 :rule cong :premises (@p96) :args (@t20)) % 0.38/0.56 (step @p98 :rule trans :premises (@p97 @p95)) % 0.38/0.56 (step @p99 :rule eq_resolve :premises (@p5 @p98)) % 0.38/0.56 (step @p100 :rule instantiate :premises (@p99) :args ((@list tptp.x0 tptp.y0))) % 0.38/0.56 (step @p101 :rule refl :args (@t49)) % 0.38/0.56 (step @p102 :rule refl :args (@t1)) % 0.38/0.56 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t1 @t49))) % 0.38/0.56 (step @p104 :rule symm :premises (@p103)) % 0.38/0.56 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.38/0.56 (step @p106 :rule eq_resolve :premises (@p1 @p105)) % 0.38/0.56 (step @p107 :rule cnf_or_pos :args (@t52)) % 0.38/0.56 (step @p108 :rule reordering :premises (@p107) :args ((or @t51 @t50 (not @t52)))) % 0.38/0.56 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p100) :args (@t50 @t44 (@list @t49 @t52))) % 0.38/0.56 (step @p110 :rule refl :args (@t53)) % 0.38/0.56 (step @p111 :rule refl :args (@t5)) % 0.38/0.56 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t5 @t53))) % 0.38/0.56 (step @p113 :rule symm :premises (@p112)) % 0.38/0.56 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.38/0.56 (step @p115 :rule nary_cong :premises (@p43 @p114) :args (@t54)) % 0.38/0.56 (step @p116 :rule cong :premises (@p115) :args ((forall @t7 @t54))) % 0.38/0.56 (step @p117 :rule bool-impl-elim :args (@t6 @t5)) % 0.38/0.56 (step @p118 :rule cong :premises (@p117) :args (@t8)) % 0.38/0.56 (step @p119 :rule trans :premises (@p118 @p116)) % 0.38/0.56 (step @p120 :rule eq_resolve :premises (@p3 @p119)) % 0.38/0.56 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t56 @t55))) % 0.38/0.56 (step @p122 :rule refl :args ((tptp.less @t25 @t24))) % 0.38/0.56 (step @p123 :rule refl :args (@t56)) % 0.38/0.56 (step @p124 :rule refl :args (@t55)) % 0.38/0.56 (step @p125 :rule cong :premises (@p124 @p123) :args (@t57)) % 0.38/0.56 (step @p126 :rule trans :premises (@p125 @p122)) % 0.38/0.56 (step @p127 :rule refl :args (tptp.less)) % 0.38/0.56 (step @p128 :rule ho_cong :premises (@p127 @p124)) % 0.38/0.56 (step @p129 :rule ho_cong :premises (@p128 @p123)) % 0.38/0.56 (step @p130 :rule cong :premises (@p129 @p126) :args ((= (_ (_ tptp.less @t55) @t56) @t57))) % 0.38/0.56 (step @p131 :rule symm :premises (@p130)) % 0.38/0.56 (step @p132 :rule refl :args (@t26)) % 0.38/0.56 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.38/0.56 (step @p134 :rule refl :args (@t24)) % 0.38/0.56 (step @p135 :rule cong :premises (@p134 @p123) :args ((= @t24 @t56))) % 0.38/0.56 (step @p136 :rule symm :premises (@p135)) % 0.38/0.56 (step @p137 :rule eq_resolve :premises (@p134 @p136)) % 0.38/0.56 (step @p138 :rule refl :args (@t25)) % 0.38/0.56 (step @p139 :rule cong :premises (@p138 @p124) :args ((= @t25 @t55))) % 0.38/0.56 (step @p140 :rule symm :premises (@p139)) % 0.38/0.56 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 0.38/0.56 (step @p142 :rule refl :args (tptp.less)) % 0.38/0.56 (step @p143 :rule ho_cong :premises (@p142 @p141)) % 0.38/0.56 (step @p144 :rule ho_cong :premises (@p143 @p137)) % 0.38/0.56 (step @p145 :rule trans :premises (@p144 @p133)) % 0.38/0.56 (step @p146 :rule cong :premises (@p145) :args (@t27)) % 0.38/0.56 (step @p147 :rule eq_resolve :premises (@p7 @p146)) % 0.38/0.56 (step @p148 :rule cnf_or_pos :args (@t60)) % 0.38/0.56 (step @p149 :rule reordering :premises (@p148) :args ((or @t57 @t59 (not @t60)))) % 0.38/0.56 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p121) :args (@t59 @t61 (@list @t57 @t60))) % 0.38/0.56 (step @p151 :rule cnf_or_pos :args (@t64)) % 0.38/0.56 (step @p152 :rule reordering :premises (@p151) :args ((or @t58 @t63 @t62 @t65))) % 0.38/0.56 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p109 @p82) :args (@t65 (@list true false false) (@list @t58 @t50 @t41))) % 0.38/0.56 (assume-push @p160 @t66) % 0.38/0.56 (step @p155 :rule instantiate :premises (@p55) :args ((@list tptp.y0 tptp.x0 tptp.u0 tptp.z0))) % 0.38/0.56 (step-pop @p161 :rule scope :premises (@p155)) % 0.38/0.56 (step @p156 :rule process_scope :premises (@p161) :args (@t64)) % 0.38/0.56 (step @p158 :rule implies_elim :premises (@p156)) % 0.38/0.56 (step @p159 false :rule chain_m_resolution :premises (@p158 @p153 @p55) :args (false @t61 (@list @t64 @t66))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------