%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV059^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:55:23 AM UTC 2026 % Result : Theorem 0.38s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV059^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:10:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.38/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.55 % SZS status Theorem % 0.38/0.55 % SZS output start Proof % 0.38/0.55 ( % 0.38/0.55 (declare-sort tptp.a 0) % 0.38/0.55 (declare-sort tptp.b 0) % 0.38/0.55 (declare-const tptp.cF (-> tptp.b tptp.b)) % 0.38/0.55 (declare-const tptp.c_less_ (-> tptp.a tptp.a Bool)) % 0.38/0.55 (declare-const tptp.cA (-> tptp.b tptp.a)) % 0.38/0.55 (declare-const tptp.cG (-> tptp.b tptp.b)) % 0.38/0.55 (define @t1 () (@var "Y" tptp.b)) % 0.38/0.55 (define @t2 () (_ tptp.cG @t1)) % 0.38/0.55 (define @t3 () (_ tptp.cA @t2)) % 0.38/0.55 (define @t4 () (_ tptp.cA @t1)) % 0.38/0.55 (define @t5 () (_ (_ tptp.c_less_ @t4) @t3)) % 0.38/0.55 (define @t6 () (@list @t1)) % 0.38/0.55 (define @t7 () (forall @t6 @t5)) % 0.38/0.55 (define @t8 () (@var "Z" tptp.b)) % 0.38/0.55 (define @t9 () (lambda (@list @t8) (_ tptp.cF (_ tptp.cF @t8)))) % 0.38/0.55 (define @t10 () (= tptp.cG @t9)) % 0.38/0.55 (define @t11 () (@var "X" tptp.b)) % 0.38/0.55 (define @t12 () (_ tptp.cF @t11)) % 0.38/0.55 (define @t13 () (_ tptp.cA @t12)) % 0.38/0.55 (define @t14 () (_ tptp.cA @t11)) % 0.38/0.55 (define @t15 () (_ (_ tptp.c_less_ @t14) @t13)) % 0.38/0.55 (define @t16 () (@list @t11)) % 0.38/0.55 (define @t17 () (forall @t16 @t15)) % 0.38/0.55 (define @t18 () (@var "Xz" tptp.a)) % 0.38/0.55 (define @t19 () (@var "Xx" tptp.a)) % 0.38/0.55 (define @t20 () (_ tptp.c_less_ @t19)) % 0.38/0.55 (define @t21 () (_ @t20 @t18)) % 0.38/0.55 (define @t22 () (@var "Xy" tptp.a)) % 0.38/0.55 (define @t23 () (_ (_ tptp.c_less_ @t22) @t18)) % 0.38/0.55 (define @t24 () (_ @t20 @t22)) % 0.38/0.55 (define @t25 () (and @t24 @t23)) % 0.38/0.55 (define @t26 () (@list @t19 @t22 @t18)) % 0.38/0.55 (define @t27 () (forall @t26 (=> @t25 @t21))) % 0.38/0.55 (define @t28 () (and @t27 @t17 @t10)) % 0.38/0.55 (define @t29 () (=> @t28 @t7)) % 0.38/0.55 (define @t30 () (not @t29)) % 0.38/0.55 (define @t31 () (_ tptp.cF @t1)) % 0.38/0.55 (define @t32 () (tptp.cF @t1)) % 0.38/0.55 (define @t33 () (tptp.cF @t32)) % 0.38/0.55 (define @t34 () (_ tptp.cF @t31)) % 0.38/0.55 (define @t35 () (tptp.cA @t34)) % 0.38/0.55 (define @t36 () (tptp.cA @t1)) % 0.38/0.55 (define @t37 () (tptp.c_less_ @t36 @t35)) % 0.38/0.55 (define @t38 () (_ @t9 @t1)) % 0.38/0.55 (define @t39 () (tptp.cA @t38)) % 0.38/0.55 (define @t40 () (tptp.c_less_ @t36 @t39)) % 0.38/0.55 (define @t41 () (forall @t6 @t40)) % 0.38/0.55 (define @t42 () (tptp.cF @t11)) % 0.38/0.55 (define @t43 () (tptp.cA @t42)) % 0.38/0.55 (define @t44 () (tptp.cA @t11)) % 0.38/0.55 (define @t45 () (tptp.c_less_ @t44 @t43)) % 0.38/0.55 (define @t46 () (forall @t16 @t45)) % 0.38/0.55 (define @t47 () (tptp.c_less_ @t19 @t18)) % 0.38/0.55 (define @t48 () (tptp.c_less_ @t22 @t18)) % 0.38/0.55 (define @t49 () (tptp.c_less_ @t19 @t22)) % 0.38/0.55 (define @t50 () (forall @t26 (or (not @t49) (not @t48) @t47))) % 0.38/0.55 (define @t51 () (and @t50 @t46 (= @t9 @t9))) % 0.38/0.55 (define @t52 () (=> @t51 @t41)) % 0.38/0.55 (define @t53 () (tptp.cG @t1)) % 0.38/0.55 (define @t54 () (tptp.cA @t53)) % 0.38/0.55 (define @t55 () (tptp.c_less_ @t36 @t54)) % 0.38/0.55 (define @t56 () (not @t23)) % 0.38/0.55 (define @t57 () (not @t24)) % 0.38/0.55 (define @t58 () (or @t57 @t56 @t21)) % 0.38/0.55 (define @t59 () (forall @t6 @t55)) % 0.38/0.55 (define @t60 () (and @t50 @t46 @t10)) % 0.38/0.55 (define @t61 () (=> @t60 @t59)) % 0.38/0.55 (define @t62 () (@quantifiers_skolemize (forall @t6 (tptp.c_less_ @t36 (tptp.cA @t33))) 0)) % 0.38/0.55 (define @t63 () (tptp.cF @t62)) % 0.38/0.55 (define @t64 () (tptp.cA (tptp.cF @t63))) % 0.38/0.55 (define @t65 () (tptp.cA @t62)) % 0.38/0.55 (define @t66 () (tptp.c_less_ @t65 @t64)) % 0.38/0.55 (define @t67 () (tptp.cA @t63)) % 0.38/0.55 (define @t68 () (tptp.c_less_ @t67 @t64)) % 0.38/0.55 (define @t69 () (not @t68)) % 0.38/0.55 (define @t70 () (tptp.c_less_ @t65 @t67)) % 0.38/0.55 (define @t71 () (not @t70)) % 0.38/0.55 (define @t72 () (or @t71 @t69 @t66)) % 0.38/0.55 (define @t73 () (not @t72)) % 0.38/0.55 (assume @p1 @t30) % 0.38/0.55 (assume @p2 true) % 0.38/0.55 (step @p3 :rule refl :args ((tptp.cF @t31))) % 0.38/0.55 (step @p4 :rule refl :args (@t32)) % 0.38/0.55 (step @p5 :rule cong :premises (@p4) :args (@t33)) % 0.38/0.55 (step @p6 :rule trans :premises (@p5 @p3)) % 0.38/0.55 (step @p7 :rule refl :args (tptp.cF)) % 0.38/0.55 (step @p8 :rule ho_cong :premises (@p7 @p4)) % 0.38/0.55 (step @p9 :rule cong :premises (@p8 @p6) :args ((= (_ tptp.cF @t32) @t33))) % 0.38/0.55 (step @p10 :rule symm :premises (@p9)) % 0.38/0.55 (step @p11 :rule refl :args (@t34)) % 0.38/0.55 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 0.38/0.55 (step @p13 :rule refl :args (@t31)) % 0.38/0.55 (step @p14 :rule cong :premises (@p13 @p4) :args ((= @t31 @t32))) % 0.38/0.55 (step @p15 :rule symm :premises (@p14)) % 0.38/0.55 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.38/0.55 (step @p17 :rule ho_cong :premises (@p7 @p16)) % 0.38/0.55 (step @p18 :rule trans :premises (@p17 @p12)) % 0.38/0.55 (step @p19 :rule cong :premises (@p18) :args (@t35)) % 0.38/0.55 (step @p20 :rule refl :args (@t36)) % 0.38/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args (@t37)) % 0.38/0.55 (step @p22 :rule cong :premises (@p21) :args ((forall @t6 @t37))) % 0.38/0.55 (step @p23 :rule beta-reduce :args ((= @t38 @t34))) % 0.38/0.55 (step @p24 :rule cong :premises (@p23) :args (@t39)) % 0.38/0.55 (step @p25 :rule refl :args (@t36)) % 0.38/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args (@t40)) % 0.38/0.55 (step @p27 :rule cong :premises (@p26) :args (@t41)) % 0.38/0.55 (step @p28 :rule trans :premises (@p27 @p22)) % 0.38/0.55 (step @p29 :rule aci_norm :args ((= (and @t50 @t46 true) (and @t50 @t46)))) % 0.38/0.55 (step @p30 :rule eq-refl :args (@t9)) % 0.38/0.55 (step @p31 :rule refl :args (@t46)) % 0.38/0.55 (step @p32 :rule refl :args (@t50)) % 0.38/0.55 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t51)) % 0.38/0.55 (step @p34 :rule trans :premises (@p33 @p29)) % 0.38/0.55 (step @p35 :rule cong :premises (@p34 @p28) :args (@t52)) % 0.38/0.55 (step @p36 :rule cong :premises (@p35) :args ((not @t52))) % 0.38/0.55 (step @p37 :rule refl :args (@t1)) % 0.38/0.55 (step @p38 :rule refl :args ((tptp.c_less_ @t4 @t3))) % 0.38/0.55 (step @p39 :rule refl :args ((tptp.cA @t2))) % 0.38/0.55 (step @p40 :rule refl :args (@t53)) % 0.38/0.55 (step @p41 :rule cong :premises (@p40) :args (@t54)) % 0.38/0.55 (step @p42 :rule trans :premises (@p41 @p39)) % 0.38/0.55 (step @p43 :rule refl :args (@t36)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43 @p42) :args (@t55)) % 0.38/0.56 (step @p45 :rule trans :premises (@p44 @p38)) % 0.38/0.56 (step @p46 :rule refl :args (tptp.c_less_)) % 0.38/0.56 (step @p47 :rule ho_cong :premises (@p46 @p43)) % 0.38/0.56 (step @p48 :rule ho_cong :premises (@p47 @p42)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48 @p45) :args ((= (_ (_ tptp.c_less_ @t36) @t54) @t55))) % 0.38/0.56 (step @p50 :rule symm :premises (@p49)) % 0.38/0.56 (step @p51 :rule refl :args (@t5)) % 0.38/0.56 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.38/0.56 (step @p53 :rule refl :args (tptp.cA)) % 0.38/0.56 (step @p54 :rule ho_cong :premises (@p53 @p40)) % 0.38/0.56 (step @p55 :rule cong :premises (@p54 @p42) :args ((= (_ tptp.cA @t53) @t54))) % 0.38/0.56 (step @p56 :rule symm :premises (@p55)) % 0.38/0.56 (step @p57 :rule refl :args (@t3)) % 0.38/0.56 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.38/0.56 (step @p59 :rule refl :args (@t2)) % 0.38/0.56 (step @p60 :rule cong :premises (@p59 @p40) :args ((= @t2 @t53))) % 0.38/0.56 (step @p61 :rule symm :premises (@p60)) % 0.38/0.56 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.38/0.56 (step @p63 :rule ho_cong :premises (@p53 @p62)) % 0.38/0.56 (step @p64 :rule trans :premises (@p63 @p58)) % 0.38/0.56 (step @p65 :rule refl :args (@t4)) % 0.38/0.56 (step @p66 :rule cong :premises (@p65 @p43) :args ((= @t4 @t36))) % 0.38/0.56 (step @p67 :rule symm :premises (@p66)) % 0.38/0.56 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.38/0.56 (step @p69 :rule ho_cong :premises (@p46 @p68)) % 0.38/0.56 (step @p70 :rule ho_cong :premises (@p69 @p64)) % 0.38/0.56 (step @p71 :rule trans :premises (@p70 @p52)) % 0.38/0.56 (step @p72 :rule cong :premises (@p71) :args (@t7)) % 0.38/0.56 (step @p73 :rule refl :args (@t10)) % 0.38/0.56 (step @p74 :rule refl :args ((tptp.c_less_ @t14 @t13))) % 0.38/0.56 (step @p75 :rule refl :args ((tptp.cA @t12))) % 0.38/0.56 (step @p76 :rule refl :args (@t42)) % 0.38/0.56 (step @p77 :rule cong :premises (@p76) :args (@t43)) % 0.38/0.56 (step @p78 :rule trans :premises (@p77 @p75)) % 0.38/0.56 (step @p79 :rule refl :args (@t44)) % 0.38/0.56 (step @p80 :rule cong :premises (@p79 @p78) :args (@t45)) % 0.38/0.56 (step @p81 :rule trans :premises (@p80 @p74)) % 0.38/0.56 (step @p82 :rule ho_cong :premises (@p46 @p79)) % 0.38/0.56 (step @p83 :rule ho_cong :premises (@p82 @p78)) % 0.38/0.56 (step @p84 :rule cong :premises (@p83 @p81) :args ((= (_ (_ tptp.c_less_ @t44) @t43) @t45))) % 0.38/0.56 (step @p85 :rule symm :premises (@p84)) % 0.38/0.56 (step @p86 :rule refl :args (@t15)) % 0.38/0.56 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.38/0.56 (step @p88 :rule ho_cong :premises (@p53 @p76)) % 0.38/0.56 (step @p89 :rule cong :premises (@p88 @p78) :args ((= (_ tptp.cA @t42) @t43))) % 0.38/0.56 (step @p90 :rule symm :premises (@p89)) % 0.38/0.56 (step @p91 :rule refl :args (@t13)) % 0.38/0.56 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.38/0.56 (step @p93 :rule refl :args (@t12)) % 0.38/0.56 (step @p94 :rule cong :premises (@p93 @p76) :args ((= @t12 @t42))) % 0.38/0.56 (step @p95 :rule symm :premises (@p94)) % 0.38/0.56 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.38/0.56 (step @p97 :rule ho_cong :premises (@p53 @p96)) % 0.38/0.56 (step @p98 :rule trans :premises (@p97 @p92)) % 0.38/0.56 (step @p99 :rule refl :args (@t14)) % 0.38/0.56 (step @p100 :rule cong :premises (@p99 @p79) :args ((= @t14 @t44))) % 0.38/0.56 (step @p101 :rule symm :premises (@p100)) % 0.38/0.56 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.38/0.56 (step @p103 :rule ho_cong :premises (@p46 @p102)) % 0.38/0.56 (step @p104 :rule ho_cong :premises (@p103 @p98)) % 0.38/0.56 (step @p105 :rule trans :premises (@p104 @p87)) % 0.38/0.56 (step @p106 :rule cong :premises (@p105) :args (@t17)) % 0.38/0.56 (step @p107 :rule refl :args (@t47)) % 0.38/0.56 (step @p108 :rule refl :args (@t21)) % 0.38/0.56 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t21 @t47))) % 0.38/0.56 (step @p110 :rule symm :premises (@p109)) % 0.38/0.56 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 0.38/0.56 (step @p112 :rule refl :args (@t48)) % 0.38/0.56 (step @p113 :rule refl :args (@t23)) % 0.38/0.56 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t23 @t48))) % 0.38/0.56 (step @p115 :rule symm :premises (@p114)) % 0.38/0.56 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 0.38/0.56 (step @p117 :rule cong :premises (@p116) :args (@t56)) % 0.38/0.56 (step @p118 :rule refl :args (@t49)) % 0.38/0.56 (step @p119 :rule refl :args (@t24)) % 0.38/0.56 (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t24 @t49))) % 0.38/0.56 (step @p121 :rule symm :premises (@p120)) % 0.38/0.56 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.38/0.56 (step @p123 :rule cong :premises (@p122) :args (@t57)) % 0.38/0.56 (step @p124 :rule nary_cong :premises (@p123 @p117 @p111) :args (@t58)) % 0.38/0.56 (step @p125 :rule cong :premises (@p124) :args ((forall @t26 @t58))) % 0.38/0.56 (step @p126 :rule aci_norm :args ((= (or (or @t57 @t56) @t21) @t58))) % 0.38/0.56 (step @p127 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.38/0.56 (step @p128 :rule nary_cong :premises (@p127 @p108) :args ((or (not @t25) @t21))) % 0.38/0.56 (step @p129 :rule trans :premises (@p128 @p126)) % 0.38/0.56 (step @p130 :rule bool-impl-elim :args (@t25 @t21)) % 0.38/0.56 (step @p131 :rule trans :premises (@p130 @p129)) % 0.38/0.56 (step @p132 :rule cong :premises (@p131) :args (@t27)) % 0.38/0.56 (step @p133 :rule trans :premises (@p132 @p125)) % 0.38/0.56 (step @p134 :rule nary_cong :premises (@p133 @p106 @p73) :args (@t28)) % 0.38/0.56 (step @p135 :rule cong :premises (@p134 @p72) :args (@t29)) % 0.38/0.56 (step @p136 :rule cong :premises (@p135) :args (@t30)) % 0.38/0.56 (step @p137 :rule eq_resolve :premises (@p1 @p136)) % 0.38/0.56 (step @p138 :rule not_implies_elim1 :premises (@p137)) % 0.38/0.56 (step @p139 :rule and_elim :premises (@p138) :args (2)) % 0.38/0.56 (step @p140 :rule ho_cong :premises (@p139 @p37)) % 0.38/0.56 (step @p141 :rule cong :premises (@p140) :args (@t54)) % 0.38/0.56 (step @p142 :rule cong :premises (@p25 @p141) :args (@t55)) % 0.38/0.56 (step @p143 :rule cong :premises (@p142) :args (@t59)) % 0.38/0.56 (step @p144 :rule refl :args (@t9)) % 0.38/0.56 (step @p145 :rule cong :premises (@p139 @p144) :args (@t10)) % 0.38/0.56 (step @p146 :rule nary_cong :premises (@p32 @p31 @p145) :args (@t60)) % 0.38/0.56 (step @p147 :rule cong :premises (@p146 @p143) :args (@t61)) % 0.38/0.56 (step @p148 :rule cong :premises (@p147) :args ((not @t61))) % 0.38/0.56 (step @p149 :rule trans :premises (@p148 @p36)) % 0.38/0.56 (step @p150 :rule trans :premises (@p136 @p149)) % 0.38/0.56 (step @p151 :rule eq_resolve :premises (@p1 @p150)) % 0.38/0.56 (step @p152 :rule not_implies_elim1 :premises (@p151)) % 0.38/0.56 (step @p153 :rule and_elim :premises (@p152) :args (0)) % 0.38/0.56 (step @p154 :rule and_elim :premises (@p152) :args (1)) % 0.38/0.56 (step @p155 :rule instantiate :premises (@p154) :args ((@list @t63))) % 0.38/0.56 (step @p156 :rule instantiate :premises (@p154) :args ((@list @t62))) % 0.38/0.56 (step @p157 :rule not_implies_elim2 :premises (@p151)) % 0.38/0.56 (step @p158 :rule skolemize :premises (@p157)) % 0.38/0.56 (step @p159 :rule cnf_or_pos :args (@t72)) % 0.38/0.56 (step @p160 :rule reordering :premises (@p159) :args ((or @t66 @t71 @t69 @t73))) % 0.38/0.56 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p156 @p155) :args (@t73 (@list true false false) (@list @t66 @t70 @t68))) % 0.38/0.56 (assume-push @p168 @t50) % 0.38/0.56 (step @p163 :rule instantiate :premises (@p153) :args ((@list @t65 @t67 @t64))) % 0.38/0.56 (step-pop @p169 :rule scope :premises (@p163)) % 0.38/0.56 (step @p164 :rule process_scope :premises (@p169) :args (@t72)) % 0.38/0.56 (step @p166 :rule implies_elim :premises (@p164)) % 0.38/0.56 (step @p167 false :rule chain_m_resolution :premises (@p166 @p161 @p153) :args (false (@list true false) (@list @t72 @t50))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------