%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG287^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:05:44 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ALG287^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:58:55 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.40/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort tptp.a 0) % 0.40/0.57 (declare-const tptp.cZ tptp.a) % 0.40/0.57 (declare-const tptp.cL (-> tptp.a tptp.a)) % 0.40/0.57 (declare-const tptp.cR (-> tptp.a tptp.a)) % 0.40/0.57 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 0.40/0.57 (declare-const tptp.x tptp.a) % 0.40/0.57 (declare-const tptp.y tptp.a) % 0.40/0.57 (declare-const tptp.u tptp.a) % 0.40/0.57 (declare-const tptp.v tptp.a) % 0.40/0.57 (define @t1 () (and (= tptp.x tptp.y) (= tptp.u tptp.v))) % 0.40/0.57 (define @t2 () (_ (_ tptp.cP tptp.y) tptp.v)) % 0.40/0.57 (define @t3 () (_ (_ tptp.cP tptp.x) tptp.u)) % 0.40/0.57 (define @t4 () (= @t3 @t2)) % 0.40/0.57 (define @t5 () (=> @t4 @t1)) % 0.40/0.57 (define @t6 () (@var "Xt" tptp.a)) % 0.40/0.57 (define @t7 () (_ tptp.cR @t6)) % 0.40/0.57 (define @t8 () (_ tptp.cL @t6)) % 0.40/0.57 (define @t9 () (_ (_ tptp.cP @t8) @t7)) % 0.40/0.57 (define @t10 () (= @t6 @t9)) % 0.40/0.57 (define @t11 () (not (= @t6 tptp.cZ))) % 0.40/0.57 (define @t12 () (= @t11 @t10)) % 0.40/0.57 (define @t13 () (@list @t6)) % 0.40/0.57 (define @t14 () (forall @t13 @t12)) % 0.40/0.57 (define @t15 () (@var "Xy0" tptp.a)) % 0.40/0.57 (define @t16 () (@var "Xx0" tptp.a)) % 0.40/0.57 (define @t17 () (_ (_ tptp.cP @t16) @t15)) % 0.40/0.57 (define @t18 () (_ tptp.cR @t17)) % 0.40/0.57 (define @t19 () (@list @t16 @t15)) % 0.40/0.57 (define @t20 () (forall @t19 (= @t18 @t15))) % 0.40/0.57 (define @t21 () (_ tptp.cL @t17)) % 0.40/0.57 (define @t22 () (forall @t19 (= @t21 @t16))) % 0.40/0.57 (define @t23 () (_ tptp.cR tptp.cZ)) % 0.40/0.57 (define @t24 () (_ tptp.cL tptp.cZ)) % 0.40/0.57 (define @t25 () (and (= @t24 tptp.cZ) (= @t23 tptp.cZ) @t22 @t20 @t14)) % 0.40/0.57 (define @t26 () (=> @t25 @t5)) % 0.40/0.57 (define @t27 () (not @t26)) % 0.40/0.57 (define @t28 () (= tptp.v tptp.u)) % 0.40/0.57 (define @t29 () (= tptp.y tptp.x)) % 0.40/0.57 (define @t30 () (and @t29 @t28)) % 0.40/0.57 (define @t31 () (tptp.cP tptp.x tptp.u)) % 0.40/0.57 (define @t32 () (tptp.cP tptp.y tptp.v)) % 0.40/0.57 (define @t33 () (=> @t4 @t30)) % 0.40/0.57 (define @t34 () (tptp.cR @t6)) % 0.40/0.57 (define @t35 () (tptp.cL @t6)) % 0.40/0.57 (define @t36 () (tptp.cP @t35 @t34)) % 0.40/0.57 (define @t37 () (= @t6 @t36)) % 0.40/0.57 (define @t38 () (not (= tptp.cZ @t6))) % 0.40/0.57 (define @t39 () (forall @t13 (= @t38 @t37))) % 0.40/0.57 (define @t40 () (tptp.cP @t16 @t15)) % 0.40/0.57 (define @t41 () (tptp.cR @t40)) % 0.40/0.57 (define @t42 () (forall @t19 (= @t15 @t41))) % 0.40/0.57 (define @t43 () (tptp.cL @t40)) % 0.40/0.57 (define @t44 () (forall @t19 (= @t16 @t43))) % 0.40/0.57 (define @t45 () (tptp.cR tptp.cZ)) % 0.40/0.57 (define @t46 () (= tptp.cZ @t23)) % 0.40/0.57 (define @t47 () (tptp.cL tptp.cZ)) % 0.40/0.57 (define @t48 () (= tptp.cZ @t24)) % 0.40/0.57 (define @t49 () (and @t48 @t46 @t44 @t42 @t39)) % 0.40/0.57 (define @t50 () (=> @t49 @t33)) % 0.40/0.57 (define @t51 () (= @t10 @t38)) % 0.40/0.57 (define @t52 () (= @t15 @t18)) % 0.40/0.57 (define @t53 () (= @t16 @t21)) % 0.40/0.57 (define @t54 () (@list tptp.x tptp.u)) % 0.40/0.57 (define @t55 () (@list tptp.y tptp.v)) % 0.40/0.57 (assume @p1 @t27) % 0.40/0.57 (assume @p2 true) % 0.40/0.57 (step @p3 :rule refl :args (@t30)) % 0.40/0.57 (step @p4 :rule eq-symm :args (@t31 @t32)) % 0.40/0.57 (step @p5 :rule refl :args (@t32)) % 0.40/0.57 (step @p6 :rule refl :args (@t2)) % 0.40/0.57 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t2 @t32))) % 0.40/0.57 (step @p8 :rule symm :premises (@p7)) % 0.40/0.57 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.40/0.57 (step @p10 :rule refl :args (@t31)) % 0.40/0.57 (step @p11 :rule refl :args (@t3)) % 0.40/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t3 @t31))) % 0.40/0.57 (step @p13 :rule symm :premises (@p12)) % 0.40/0.57 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.40/0.57 (step @p15 :rule cong :premises (@p14 @p9) :args (@t4)) % 0.40/0.57 (step @p16 :rule trans :premises (@p15 @p4)) % 0.40/0.57 (step @p17 :rule cong :premises (@p16 @p3) :args (@t33)) % 0.40/0.57 (step @p18 :rule refl :args (@t39)) % 0.40/0.57 (step @p19 :rule refl :args (@t42)) % 0.40/0.57 (step @p20 :rule refl :args (@t44)) % 0.40/0.57 (step @p21 :rule refl :args (@t45)) % 0.40/0.57 (step @p22 :rule refl :args (@t23)) % 0.40/0.57 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t23 @t45))) % 0.40/0.57 (step @p24 :rule symm :premises (@p23)) % 0.40/0.57 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.40/0.57 (step @p26 :rule refl :args (tptp.cZ)) % 0.40/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args (@t46)) % 0.40/0.57 (step @p28 :rule refl :args (@t47)) % 0.40/0.57 (step @p29 :rule refl :args (@t24)) % 0.40/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t24 @t47))) % 0.40/0.57 (step @p31 :rule symm :premises (@p30)) % 0.40/0.57 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.40/0.57 (step @p33 :rule cong :premises (@p26 @p32) :args (@t48)) % 0.40/0.57 (step @p34 :rule nary_cong :premises (@p33 @p27 @p20 @p19 @p18) :args (@t49)) % 0.40/0.57 (step @p35 :rule cong :premises (@p34 @p17) :args (@t50)) % 0.40/0.57 (step @p36 :rule cong :premises (@p35) :args ((not @t50))) % 0.40/0.57 (step @p37 :rule eq-symm :args (tptp.u tptp.v)) % 0.40/0.57 (step @p38 :rule eq-symm :args (tptp.x tptp.y)) % 0.40/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t1)) % 0.40/0.57 (step @p40 :rule refl :args (@t4)) % 0.40/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args (@t5)) % 0.40/0.57 (step @p42 :rule eq-symm :args (@t37 @t38)) % 0.40/0.57 (step @p43 :rule cong :premises (@p42) :args ((forall @t13 (= @t37 @t38)))) % 0.40/0.57 (step @p44 :rule refl :args (@t38)) % 0.40/0.57 (step @p45 :rule refl :args ((tptp.cP @t8 @t7))) % 0.40/0.57 (step @p46 :rule refl :args (@t34)) % 0.40/0.57 (step @p47 :rule refl :args (@t35)) % 0.40/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args (@t36)) % 0.40/0.57 (step @p49 :rule trans :premises (@p48 @p45)) % 0.40/0.57 (step @p50 :rule refl :args (tptp.cP)) % 0.40/0.57 (step @p51 :rule ho_cong :premises (@p50 @p47)) % 0.40/0.57 (step @p52 :rule ho_cong :premises (@p51 @p46)) % 0.40/0.57 (step @p53 :rule cong :premises (@p52 @p49) :args ((= (_ (_ tptp.cP @t35) @t34) @t36))) % 0.40/0.57 (step @p54 :rule symm :premises (@p53)) % 0.40/0.57 (step @p55 :rule refl :args (@t9)) % 0.40/0.57 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.40/0.57 (step @p57 :rule refl :args (@t7)) % 0.40/0.57 (step @p58 :rule cong :premises (@p57 @p46) :args ((= @t7 @t34))) % 0.40/0.57 (step @p59 :rule symm :premises (@p58)) % 0.40/0.57 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.40/0.57 (step @p61 :rule refl :args (@t8)) % 0.40/0.57 (step @p62 :rule cong :premises (@p61 @p47) :args ((= @t8 @t35))) % 0.40/0.57 (step @p63 :rule symm :premises (@p62)) % 0.40/0.57 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.40/0.57 (step @p65 :rule ho_cong :premises (@p50 @p64)) % 0.40/0.57 (step @p66 :rule ho_cong :premises (@p65 @p60)) % 0.40/0.57 (step @p67 :rule trans :premises (@p66 @p56)) % 0.40/0.57 (step @p68 :rule refl :args (@t6)) % 0.40/0.57 (step @p69 :rule cong :premises (@p68 @p67) :args (@t10)) % 0.40/0.57 (step @p70 :rule cong :premises (@p69 @p44) :args (@t51)) % 0.40/0.57 (step @p71 :rule cong :premises (@p70) :args ((forall @t13 @t51))) % 0.40/0.57 (step @p72 :rule trans :premises (@p71 @p43)) % 0.40/0.57 (step @p73 :rule eq-symm :args (@t38 @t10)) % 0.40/0.57 (step @p74 :rule refl :args (@t10)) % 0.40/0.57 (step @p75 :rule eq-symm :args (@t6 tptp.cZ)) % 0.40/0.57 (step @p76 :rule cong :premises (@p75) :args (@t11)) % 0.40/0.57 (step @p77 :rule cong :premises (@p76 @p74) :args (@t12)) % 0.40/0.57 (step @p78 :rule trans :premises (@p77 @p73)) % 0.40/0.57 (step @p79 :rule cong :premises (@p78) :args (@t14)) % 0.40/0.57 (step @p80 :rule trans :premises (@p79 @p72)) % 0.40/0.57 (step @p81 :rule refl :args ((tptp.cR @t17))) % 0.40/0.57 (step @p82 :rule refl :args (@t40)) % 0.40/0.57 (step @p83 :rule cong :premises (@p82) :args (@t41)) % 0.40/0.57 (step @p84 :rule trans :premises (@p83 @p81)) % 0.40/0.57 (step @p85 :rule refl :args (tptp.cR)) % 0.40/0.57 (step @p86 :rule ho_cong :premises (@p85 @p82)) % 0.40/0.57 (step @p87 :rule cong :premises (@p86 @p84) :args ((= (_ tptp.cR @t40) @t41))) % 0.40/0.57 (step @p88 :rule symm :premises (@p87)) % 0.40/0.57 (step @p89 :rule refl :args (@t18)) % 0.40/0.57 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.40/0.57 (step @p91 :rule refl :args (@t17)) % 0.40/0.57 (step @p92 :rule cong :premises (@p91 @p82) :args ((= @t17 @t40))) % 0.40/0.57 (step @p93 :rule symm :premises (@p92)) % 0.40/0.57 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.40/0.57 (step @p95 :rule ho_cong :premises (@p85 @p94)) % 0.40/0.57 (step @p96 :rule trans :premises (@p95 @p90)) % 0.40/0.57 (step @p97 :rule refl :args (@t15)) % 0.40/0.57 (step @p98 :rule cong :premises (@p97 @p96) :args (@t52)) % 0.40/0.57 (step @p99 :rule cong :premises (@p98) :args ((forall @t19 @t52))) % 0.40/0.57 (step @p100 :rule eq-symm :args (@t18 @t15)) % 0.40/0.57 (step @p101 :rule cong :premises (@p100) :args (@t20)) % 0.40/0.57 (step @p102 :rule trans :premises (@p101 @p99)) % 0.40/0.57 (step @p103 :rule refl :args ((tptp.cL @t17))) % 0.40/0.57 (step @p104 :rule cong :premises (@p82) :args (@t43)) % 0.40/0.57 (step @p105 :rule trans :premises (@p104 @p103)) % 0.40/0.57 (step @p106 :rule refl :args (tptp.cL)) % 0.40/0.57 (step @p107 :rule ho_cong :premises (@p106 @p82)) % 0.40/0.57 (step @p108 :rule cong :premises (@p107 @p105) :args ((= (_ tptp.cL @t40) @t43))) % 0.40/0.57 (step @p109 :rule symm :premises (@p108)) % 0.40/0.57 (step @p110 :rule refl :args (@t21)) % 0.40/0.57 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.40/0.57 (step @p112 :rule ho_cong :premises (@p106 @p94)) % 0.40/0.57 (step @p113 :rule trans :premises (@p112 @p111)) % 0.40/0.57 (step @p114 :rule refl :args (@t16)) % 0.40/0.57 (step @p115 :rule cong :premises (@p114 @p113) :args (@t53)) % 0.40/0.57 (step @p116 :rule cong :premises (@p115) :args ((forall @t19 @t53))) % 0.40/0.57 (step @p117 :rule eq-symm :args (@t21 @t16)) % 0.40/0.57 (step @p118 :rule cong :premises (@p117) :args (@t22)) % 0.40/0.57 (step @p119 :rule trans :premises (@p118 @p116)) % 0.40/0.57 (step @p120 :rule eq-symm :args (@t23 tptp.cZ)) % 0.40/0.57 (step @p121 :rule eq-symm :args (@t24 tptp.cZ)) % 0.40/0.57 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p102 @p80) :args (@t25)) % 0.40/0.57 (step @p123 :rule cong :premises (@p122 @p41) :args (@t26)) % 0.40/0.57 (step @p124 :rule cong :premises (@p123) :args (@t27)) % 0.40/0.57 (step @p125 :rule trans :premises (@p124 @p36)) % 0.40/0.57 (step @p126 :rule eq_resolve :premises (@p1 @p125)) % 0.40/0.57 (step @p127 :rule not_implies_elim1 :premises (@p126)) % 0.40/0.57 (step @p128 :rule and_elim :premises (@p127) :args (2)) % 0.40/0.57 (step @p129 :rule instantiate :premises (@p128) :args (@t54)) % 0.40/0.57 (step @p130 :rule symm :premises (@p129)) % 0.40/0.57 (step @p131 :rule not_implies_elim2 :premises (@p126)) % 0.40/0.57 (step @p132 :rule not_implies_elim1 :premises (@p131)) % 0.40/0.57 (step @p133 :rule cong :premises (@p132) :args ((tptp.cL @t32))) % 0.40/0.57 (step @p134 :rule instantiate :premises (@p128) :args (@t55)) % 0.40/0.57 (step @p135 :rule trans :premises (@p134 @p133 @p130)) % 0.40/0.57 (step @p136 :rule and_elim :premises (@p127) :args (3)) % 0.40/0.57 (step @p137 :rule instantiate :premises (@p136) :args (@t54)) % 0.40/0.57 (step @p138 :rule symm :premises (@p137)) % 0.40/0.57 (step @p139 :rule cong :premises (@p132) :args ((tptp.cR @t32))) % 0.40/0.57 (step @p140 :rule instantiate :premises (@p136) :args (@t55)) % 0.40/0.57 (step @p141 :rule trans :premises (@p140 @p139 @p138)) % 0.40/0.57 (step @p142 :rule not_implies_elim2 :premises (@p131)) % 0.40/0.57 (step @p143 :rule not_and :premises (@p142)) % 0.40/0.57 (step @p144 false :rule chain_m_resolution :premises (@p143 @p141 @p135) :args (false (@list false false) (@list @t28 @t29))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------