%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM795^1 : 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 : n025.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 : NUM795^1 : 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 : n025.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 12:23:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----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.less (-> 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.lessis (-> 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.lessis tptp.x0) tptp.y0)) % 0.38/0.56 (define @t2 () (_ (_ tptp.less 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.more @t11) @t9)) % 0.38/0.56 (define @t15 () (=> @t14 @t13)) % 0.38/0.56 (define @t16 () (_ (_ tptp.moreis @t3) @t4)) % 0.38/0.56 (define @t17 () (@list @t3 @t4 @t11 @t9)) % 0.38/0.56 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.38/0.56 (define @t19 () (_ (_ tptp.moreis @t4) @t3)) % 0.38/0.56 (define @t20 () (_ (_ tptp.lessis @t3) @t4)) % 0.38/0.56 (define @t21 () (forall @t7 (=> @t20 @t19))) % 0.38/0.56 (define @t22 () (_ (_ tptp.more @t4) @t3)) % 0.38/0.56 (define @t23 () (_ (_ tptp.less @t3) @t4)) % 0.38/0.56 (define @t24 () (forall @t7 (=> @t23 @t22))) % 0.38/0.56 (define @t25 () (_ (_ tptp.pl tptp.y0) tptp.u0)) % 0.38/0.56 (define @t26 () (_ (_ tptp.pl tptp.x0) tptp.z0)) % 0.38/0.56 (define @t27 () (_ (_ tptp.less @t26) @t25)) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (tptp.pl @t4 @t9)) % 0.38/0.56 (define @t30 () (tptp.pl @t3 @t11)) % 0.38/0.56 (define @t31 () (tptp.more @t30 @t29)) % 0.38/0.56 (define @t32 () (tptp.more @t11 @t9)) % 0.38/0.56 (define @t33 () (not @t14)) % 0.38/0.56 (define @t34 () (tptp.moreis @t3 @t4)) % 0.38/0.56 (define @t35 () (not @t16)) % 0.38/0.56 (define @t36 () (or @t35 @t33 @t13)) % 0.38/0.56 (define @t37 () (tptp.more @t4 @t3)) % 0.38/0.56 (define @t38 () (tptp.less @t3 @t4)) % 0.38/0.56 (define @t39 () (not @t23)) % 0.38/0.56 (define @t40 () (or @t39 @t22)) % 0.38/0.56 (define @t41 () (tptp.less tptp.z0 tptp.u0)) % 0.38/0.56 (define @t42 () (tptp.more tptp.u0 tptp.z0)) % 0.38/0.56 (define @t43 () (not @t41)) % 0.38/0.56 (define @t44 () (or @t43 @t42)) % 0.38/0.56 (define @t45 () (@list false false)) % 0.38/0.56 (define @t46 () (tptp.moreis @t4 @t3)) % 0.38/0.56 (define @t47 () (tptp.lessis @t3 @t4)) % 0.38/0.56 (define @t48 () (not @t20)) % 0.38/0.56 (define @t49 () (or @t48 @t19)) % 0.38/0.56 (define @t50 () (tptp.lessis tptp.x0 tptp.y0)) % 0.38/0.56 (define @t51 () (tptp.moreis tptp.y0 tptp.x0)) % 0.38/0.56 (define @t52 () (not @t50)) % 0.38/0.56 (define @t53 () (or @t52 @t51)) % 0.38/0.56 (define @t54 () (tptp.less @t4 @t3)) % 0.38/0.56 (define @t55 () (tptp.more @t3 @t4)) % 0.38/0.56 (define @t56 () (not @t6)) % 0.38/0.56 (define @t57 () (or @t56 @t5)) % 0.38/0.56 (define @t58 () (tptp.pl tptp.x0 tptp.z0)) % 0.38/0.56 (define @t59 () (tptp.pl tptp.y0 tptp.u0)) % 0.38/0.56 (define @t60 () (tptp.less @t58 @t59)) % 0.38/0.56 (define @t61 () (tptp.more @t59 @t58)) % 0.38/0.56 (define @t62 () (not @t61)) % 0.38/0.56 (define @t63 () (or @t62 @t60)) % 0.38/0.56 (define @t64 () (@list true false)) % 0.38/0.56 (define @t65 () (not @t42)) % 0.38/0.56 (define @t66 () (not @t51)) % 0.38/0.56 (define @t67 () (or @t66 @t65 @t61)) % 0.38/0.56 (define @t68 () (not @t67)) % 0.38/0.56 (define @t69 () (forall @t17 (or (not @t34) (not @t32) @t31))) % 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 @t18) % 0.38/0.56 (assume @p5 @t21) % 0.38/0.56 (assume @p6 @t24) % 0.38/0.56 (assume @p7 @t28) % 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 (@t29)) % 0.38/0.56 (step @p11 :rule refl :args (@t30)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t31)) % 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 @t30) @t29) @t31))) % 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 @t29))) % 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 @t30))) % 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 (@t32)) % 0.38/0.56 (step @p33 :rule refl :args (@t14)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t14 @t32))) % 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 (@t33)) % 0.38/0.56 (step @p38 :rule refl :args (@t34)) % 0.38/0.56 (step @p39 :rule refl :args (@t16)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t16 @t34))) % 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 (@t35)) % 0.38/0.56 (step @p44 :rule nary_cong :premises (@p43 @p37 @p31) :args (@t36)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t17 @t36))) % 0.38/0.56 (step @p46 :rule aci_norm :args ((= (or @t35 (or @t33 @t13)) @t36))) % 0.38/0.56 (step @p47 :rule bool-impl-elim :args (@t14 @t13)) % 0.38/0.56 (step @p48 :rule refl :args (@t35)) % 0.38/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t35 @t15))) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p46)) % 0.38/0.56 (step @p51 :rule bool-impl-elim :args (@t16 @t15)) % 0.38/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52) :args (@t18)) % 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 (@t37)) % 0.38/0.56 (step @p57 :rule refl :args (@t22)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t22 @t37))) % 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 (@t38)) % 0.38/0.56 (step @p62 :rule refl :args (@t23)) % 0.38/0.56 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t23 @t38))) % 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 (@t39)) % 0.38/0.56 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t40)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67) :args ((forall @t7 @t40))) % 0.38/0.56 (step @p69 :rule bool-impl-elim :args (@t23 @t22)) % 0.38/0.56 (step @p70 :rule cong :premises (@p69) :args (@t24)) % 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 (@t41)) % 0.38/0.56 (step @p75 :rule refl :args (@t2)) % 0.38/0.56 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t2 @t41))) % 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 (@t44)) % 0.38/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t43 @t42 (not @t44)))) % 0.38/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p73) :args (@t42 @t45 (@list @t41 @t44))) % 0.38/0.56 (step @p83 :rule refl :args (@t46)) % 0.38/0.56 (step @p84 :rule refl :args (@t19)) % 0.38/0.56 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t19 @t46))) % 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 (@t47)) % 0.38/0.56 (step @p89 :rule refl :args (@t20)) % 0.38/0.56 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t20 @t47))) % 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 (@t48)) % 0.38/0.56 (step @p94 :rule nary_cong :premises (@p93 @p87) :args (@t49)) % 0.38/0.56 (step @p95 :rule cong :premises (@p94) :args ((forall @t7 @t49))) % 0.38/0.56 (step @p96 :rule bool-impl-elim :args (@t20 @t19)) % 0.38/0.56 (step @p97 :rule cong :premises (@p96) :args (@t21)) % 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 (@t50)) % 0.38/0.56 (step @p102 :rule refl :args (@t1)) % 0.38/0.56 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t1 @t50))) % 0.38/0.57 (step @p104 :rule symm :premises (@p103)) % 0.38/0.57 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.38/0.57 (step @p106 :rule eq_resolve :premises (@p1 @p105)) % 0.38/0.57 (step @p107 :rule cnf_or_pos :args (@t53)) % 0.38/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t52 @t51 (not @t53)))) % 0.38/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p100) :args (@t51 @t45 (@list @t50 @t53))) % 0.38/0.57 (step @p110 :rule refl :args (@t54)) % 0.38/0.57 (step @p111 :rule refl :args (@t5)) % 0.38/0.57 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t5 @t54))) % 0.38/0.57 (step @p113 :rule symm :premises (@p112)) % 0.38/0.57 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.38/0.57 (step @p115 :rule refl :args (@t55)) % 0.38/0.57 (step @p116 :rule refl :args (@t6)) % 0.38/0.57 (step @p117 :rule cong :premises (@p116 @p115) :args ((= @t6 @t55))) % 0.38/0.57 (step @p118 :rule symm :premises (@p117)) % 0.38/0.57 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.38/0.57 (step @p120 :rule cong :premises (@p119) :args (@t56)) % 0.38/0.57 (step @p121 :rule nary_cong :premises (@p120 @p114) :args (@t57)) % 0.38/0.57 (step @p122 :rule cong :premises (@p121) :args ((forall @t7 @t57))) % 0.38/0.57 (step @p123 :rule bool-impl-elim :args (@t6 @t5)) % 0.38/0.57 (step @p124 :rule cong :premises (@p123) :args (@t8)) % 0.38/0.57 (step @p125 :rule trans :premises (@p124 @p122)) % 0.38/0.57 (step @p126 :rule eq_resolve :premises (@p3 @p125)) % 0.38/0.57 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t59 @t58))) % 0.38/0.57 (step @p128 :rule refl :args ((tptp.less @t26 @t25))) % 0.38/0.57 (step @p129 :rule refl :args (@t59)) % 0.38/0.57 (step @p130 :rule refl :args (@t58)) % 0.38/0.57 (step @p131 :rule cong :premises (@p130 @p129) :args (@t60)) % 0.38/0.57 (step @p132 :rule trans :premises (@p131 @p128)) % 0.38/0.57 (step @p133 :rule refl :args (tptp.less)) % 0.38/0.57 (step @p134 :rule ho_cong :premises (@p133 @p130)) % 0.38/0.57 (step @p135 :rule ho_cong :premises (@p134 @p129)) % 0.38/0.57 (step @p136 :rule cong :premises (@p135 @p132) :args ((= (_ (_ tptp.less @t58) @t59) @t60))) % 0.38/0.57 (step @p137 :rule symm :premises (@p136)) % 0.38/0.57 (step @p138 :rule refl :args (@t27)) % 0.38/0.57 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.38/0.57 (step @p140 :rule refl :args (@t25)) % 0.38/0.57 (step @p141 :rule cong :premises (@p140 @p129) :args ((= @t25 @t59))) % 0.38/0.57 (step @p142 :rule symm :premises (@p141)) % 0.38/0.57 (step @p143 :rule eq_resolve :premises (@p140 @p142)) % 0.38/0.57 (step @p144 :rule refl :args (@t26)) % 0.38/0.57 (step @p145 :rule cong :premises (@p144 @p130) :args ((= @t26 @t58))) % 0.38/0.57 (step @p146 :rule symm :premises (@p145)) % 0.38/0.57 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.38/0.57 (step @p148 :rule refl :args (tptp.less)) % 0.38/0.57 (step @p149 :rule ho_cong :premises (@p148 @p147)) % 0.38/0.57 (step @p150 :rule ho_cong :premises (@p149 @p143)) % 0.38/0.57 (step @p151 :rule trans :premises (@p150 @p139)) % 0.38/0.57 (step @p152 :rule cong :premises (@p151) :args (@t28)) % 0.38/0.57 (step @p153 :rule eq_resolve :premises (@p7 @p152)) % 0.38/0.57 (step @p154 :rule cnf_or_pos :args (@t63)) % 0.38/0.57 (step @p155 :rule reordering :premises (@p154) :args ((or @t60 @t62 (not @t63)))) % 0.38/0.57 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p127) :args (@t62 @t64 (@list @t60 @t63))) % 0.38/0.57 (step @p157 :rule cnf_or_pos :args (@t67)) % 0.38/0.57 (step @p158 :rule reordering :premises (@p157) :args ((or @t61 @t66 @t65 @t68))) % 0.38/0.57 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p109 @p82) :args (@t68 (@list true false false) (@list @t61 @t51 @t42))) % 0.38/0.57 (assume-push @p166 @t69) % 0.38/0.57 (step @p161 :rule instantiate :premises (@p55) :args ((@list tptp.y0 tptp.x0 tptp.u0 tptp.z0))) % 0.38/0.57 (step-pop @p167 :rule scope :premises (@p161)) % 0.38/0.57 (step @p162 :rule process_scope :premises (@p167) :args (@t67)) % 0.38/0.57 (step @p164 :rule implies_elim :premises (@p162)) % 0.38/0.57 (step @p165 false :rule chain_m_resolution :premises (@p164 @p159 @p55) :args (false @t64 (@list @t67 @t69))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------