%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO276^5 : 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 : 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 09:12:21 AM UTC 2026 % Result : Theorem 0.38s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO276^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:02:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.63 % SZS status Theorem % 0.38/0.63 % SZS output start Proof % 0.38/0.63 ( % 0.38/0.63 (declare-sort $$unsorted 0) % 0.38/0.63 (declare-const tptp.cO $$unsorted) % 0.38/0.63 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.n $$unsorted) % 0.38/0.63 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.m $$unsorted) % 0.38/0.63 (define @t1 () (_ tptp.cP tptp.m)) % 0.38/0.63 (define @t2 () (_ tptp.cP tptp.n)) % 0.38/0.63 (define @t3 () (@var "A" (-> $$unsorted $$unsorted Bool))) % 0.38/0.63 (define @t4 () (_ (_ @t3 tptp.n) tptp.m)) % 0.38/0.63 (define @t5 () (@var "Xy" $$unsorted)) % 0.38/0.63 (define @t6 () (_ tptp.s @t5)) % 0.38/0.63 (define @t7 () (@var "Xx" $$unsorted)) % 0.38/0.63 (define @t8 () (_ tptp.s @t7)) % 0.38/0.63 (define @t9 () (_ (_ @t3 @t8) @t6)) % 0.38/0.63 (define @t10 () (_ (_ @t3 @t7) @t5)) % 0.38/0.63 (define @t11 () (@list @t7 @t5)) % 0.38/0.63 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.38/0.63 (define @t13 () (_ (_ @t3 tptp.cO) tptp.cO)) % 0.38/0.63 (define @t14 () (and @t13 @t12)) % 0.38/0.63 (define @t15 () (=> @t14 @t4)) % 0.38/0.63 (define @t16 () (@list @t3)) % 0.38/0.63 (define @t17 () (forall @t16 @t15)) % 0.38/0.63 (define @t18 () (and @t17 @t2)) % 0.38/0.63 (define @t19 () (=> @t18 @t1)) % 0.38/0.63 (define @t20 () (not @t19)) % 0.38/0.63 (define @t21 () (tptp.cP tptp.m)) % 0.38/0.63 (define @t22 () (tptp.cP tptp.n)) % 0.38/0.63 (define @t23 () (_ @t3 tptp.n tptp.m)) % 0.38/0.63 (define @t24 () (tptp.s @t5)) % 0.38/0.63 (define @t25 () (tptp.s @t7)) % 0.38/0.63 (define @t26 () (_ @t3 @t25 @t24)) % 0.38/0.63 (define @t27 () (_ @t3 @t7 @t5)) % 0.38/0.63 (define @t28 () (forall @t11 (or (not @t27) @t26))) % 0.38/0.63 (define @t29 () (not @t28)) % 0.38/0.63 (define @t30 () (_ @t3 tptp.cO tptp.cO)) % 0.38/0.63 (define @t31 () (forall @t16 (or (not @t30) @t29 @t23))) % 0.38/0.63 (define @t32 () (and @t31 @t2)) % 0.38/0.63 (define @t33 () (=> @t32 @t1)) % 0.38/0.63 (define @t34 () (not @t13)) % 0.38/0.63 (define @t35 () (or @t34 @t29 @t4)) % 0.38/0.63 (define @t36 () (and @t13 @t28)) % 0.38/0.63 (define @t37 () (not @t10)) % 0.38/0.63 (define @t38 () (or @t37 @t9)) % 0.38/0.63 (define @t39 () (= tptp.m tptp.n)) % 0.38/0.63 (define @t40 () (@var "BOUND_VARIABLE_14692" $$unsorted)) % 0.38/0.63 (define @t41 () (@var "BOUND_VARIABLE_14691" $$unsorted)) % 0.38/0.63 (define @t42 () (lambda (@list @t41 @t40) (= @t41 @t40))) % 0.38/0.63 (define @t43 () (_ @t42 tptp.n tptp.m)) % 0.38/0.63 (define @t44 () (@list @t5)) % 0.45/0.63 (define @t45 () (not (= @t5 @t5))) % 0.45/0.63 (define @t46 () (or @t45 (= @t24 @t24))) % 0.45/0.63 (define @t47 () (= @t25 @t24)) % 0.45/0.63 (define @t48 () (= @t7 @t5)) % 0.45/0.63 (define @t49 () (not @t48)) % 0.45/0.63 (define @t50 () (or @t49 @t49 @t47)) % 0.45/0.63 (define @t51 () (@list @t7)) % 0.45/0.63 (define @t52 () (or @t49 @t47)) % 0.45/0.63 (define @t53 () (forall @t51 @t52)) % 0.45/0.63 (define @t54 () (forall @t44 @t53)) % 0.45/0.63 (define @t55 () (forall (@list @t5 @t7) @t52)) % 0.45/0.63 (define @t56 () (_ @t42 @t25 @t24)) % 0.45/0.63 (define @t57 () (_ @t42 @t7 @t5)) % 0.45/0.63 (define @t58 () (not @t57)) % 0.45/0.63 (define @t59 () (or @t58 @t56)) % 0.45/0.63 (define @t60 () (forall @t11 @t59)) % 0.45/0.63 (define @t61 () (not @t60)) % 0.45/0.63 (define @t62 () (_ @t42 tptp.cO tptp.cO)) % 0.45/0.63 (define @t63 () (not @t62)) % 0.45/0.63 (define @t64 () (or @t63 @t61 @t43)) % 0.45/0.63 (assume @p1 @t20) % 0.45/0.63 (assume @p2 true) % 0.45/0.63 (step @p3 :rule evaluate :args ((= true false))) % 0.45/0.63 (step @p4 :rule refl :args (@t21)) % 0.45/0.63 (step @p5 :rule refl :args (@t1)) % 0.45/0.63 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t1 @t21))) % 0.45/0.63 (step @p7 :rule symm :premises (@p6)) % 0.45/0.63 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.45/0.63 (step @p9 :rule refl :args (@t22)) % 0.45/0.63 (step @p10 :rule refl :args (@t2)) % 0.45/0.63 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t2 @t22))) % 0.45/0.63 (step @p12 :rule symm :premises (@p11)) % 0.45/0.63 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.45/0.63 (step @p14 :rule refl :args (@t31)) % 0.45/0.63 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t32)) % 0.45/0.63 (step @p16 :rule cong :premises (@p15 @p8) :args (@t33)) % 0.45/0.63 (step @p17 :rule cong :premises (@p16) :args ((not @t33))) % 0.45/0.63 (step @p18 :rule refl :args (@t1)) % 0.45/0.63 (step @p19 :rule refl :args (@t2)) % 0.45/0.63 (step @p20 :rule refl :args (@t23)) % 0.45/0.63 (step @p21 :rule refl :args (@t4)) % 0.45/0.63 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t4 @t23))) % 0.45/0.63 (step @p23 :rule symm :premises (@p22)) % 0.45/0.63 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.45/0.63 (step @p25 :rule refl :args (@t29)) % 0.45/0.63 (step @p26 :rule refl :args (@t30)) % 0.45/0.63 (step @p27 :rule refl :args (@t13)) % 0.45/0.63 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t13 @t30))) % 0.45/0.63 (step @p29 :rule symm :premises (@p28)) % 0.45/0.63 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.45/0.63 (step @p31 :rule cong :premises (@p30) :args (@t34)) % 0.45/0.63 (step @p32 :rule nary_cong :premises (@p31 @p25 @p24) :args (@t35)) % 0.45/0.63 (step @p33 :rule cong :premises (@p32) :args ((forall @t16 @t35))) % 0.45/0.63 (step @p34 :rule aci_norm :args ((= (or (or @t34 @t29) @t4) @t35))) % 0.45/0.63 (step @p35 :rule bool-and-de-morgan :args (@t13 @t28 true)) % 0.45/0.63 (step @p36 :rule nary_cong :premises (@p35 @p21) :args ((or (not @t36) @t4))) % 0.45/0.63 (step @p37 :rule trans :premises (@p36 @p34)) % 0.45/0.63 (step @p38 :rule bool-impl-elim :args (@t36 @t4)) % 0.45/0.63 (step @p39 :rule trans :premises (@p38 @p37)) % 0.45/0.63 (step @p40 :rule cong :premises (@p39) :args ((forall @t16 (=> @t36 @t4)))) % 0.45/0.63 (step @p41 :rule trans :premises (@p40 @p33)) % 0.45/0.63 (step @p42 :rule refl :args (@t4)) % 0.45/0.63 (step @p43 :rule refl :args ((_ @t3 @t8 @t6))) % 0.45/0.63 (step @p44 :rule refl :args (@t24)) % 0.45/0.63 (step @p45 :rule refl :args (@t25)) % 0.45/0.63 (step @p46 :rule cong :premises (@p45 @p44) :args (@t26)) % 0.45/0.63 (step @p47 :rule trans :premises (@p46 @p43)) % 0.45/0.63 (step @p48 :rule refl :args (@t3)) % 0.45/0.63 (step @p49 :rule ho_cong :premises (@p48 @p45)) % 0.45/0.63 (step @p50 :rule ho_cong :premises (@p49 @p44)) % 0.45/0.63 (step @p51 :rule cong :premises (@p50 @p47) :args ((= (_ (_ @t3 @t25) @t24) @t26))) % 0.45/0.63 (step @p52 :rule symm :premises (@p51)) % 0.45/0.63 (step @p53 :rule refl :args (@t9)) % 0.45/0.63 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.45/0.63 (step @p55 :rule refl :args (@t6)) % 0.45/0.63 (step @p56 :rule cong :premises (@p55 @p44) :args ((= @t6 @t24))) % 0.45/0.63 (step @p57 :rule symm :premises (@p56)) % 0.45/0.63 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.45/0.63 (step @p59 :rule refl :args (@t8)) % 0.45/0.63 (step @p60 :rule cong :premises (@p59 @p45) :args ((= @t8 @t25))) % 0.45/0.63 (step @p61 :rule symm :premises (@p60)) % 0.45/0.63 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.45/0.63 (step @p63 :rule ho_cong :premises (@p48 @p62)) % 0.45/0.63 (step @p64 :rule ho_cong :premises (@p63 @p58)) % 0.45/0.63 (step @p65 :rule trans :premises (@p64 @p54)) % 0.45/0.63 (step @p66 :rule refl :args (@t27)) % 0.45/0.63 (step @p67 :rule refl :args (@t10)) % 0.45/0.63 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t10 @t27))) % 0.45/0.63 (step @p69 :rule symm :premises (@p68)) % 0.45/0.63 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.45/0.63 (step @p71 :rule cong :premises (@p70) :args (@t37)) % 0.45/0.63 (step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t38)) % 0.45/0.63 (step @p73 :rule cong :premises (@p72) :args ((forall @t11 @t38))) % 0.45/0.63 (step @p74 :rule bool-impl-elim :args (@t10 @t9)) % 0.45/0.63 (step @p75 :rule cong :premises (@p74) :args (@t12)) % 0.45/0.63 (step @p76 :rule trans :premises (@p75 @p73)) % 0.45/0.63 (step @p77 :rule refl :args (@t13)) % 0.45/0.63 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t14)) % 0.45/0.63 (step @p79 :rule cong :premises (@p78 @p42) :args (@t15)) % 0.45/0.63 (step @p80 :rule cong :premises (@p79) :args (@t17)) % 0.45/0.63 (step @p81 :rule trans :premises (@p80 @p41)) % 0.45/0.63 (step @p82 :rule nary_cong :premises (@p81 @p19) :args (@t18)) % 0.45/0.63 (step @p83 :rule cong :premises (@p82 @p18) :args (@t19)) % 0.45/0.63 (step @p84 :rule cong :premises (@p83) :args (@t20)) % 0.45/0.63 (step @p85 :rule trans :premises (@p84 @p17)) % 0.45/0.63 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 0.45/0.63 (step @p87 :rule not_implies_elim2 :premises (@p86)) % 0.45/0.63 (step @p88 :rule false_intro :premises (@p87)) % 0.45/0.63 (step @p89 :rule not_implies_elim1 :premises (@p86)) % 0.45/0.63 (step @p90 :rule and_elim :premises (@p89) :args (0)) % 0.45/0.63 (step @p91 :rule aci_norm :args ((= (or false false @t39) @t39))) % 0.45/0.63 (step @p92 :rule eq-symm :args (tptp.n tptp.m)) % 0.45/0.63 (step @p93 :rule beta-reduce :args ((= @t43 (= tptp.n tptp.m)))) % 0.45/0.63 (step @p94 :rule trans :premises (@p93 @p92)) % 0.45/0.63 (step @p95 :rule evaluate :args ((not true))) % 0.45/0.63 (step @p96 :rule quant-unused-vars :args ((= (forall @t44 true) true))) % 0.45/0.63 (step @p97 :rule evaluate :args ((or false true))) % 0.45/0.63 (step @p98 :rule eq-refl :args (@t24)) % 0.45/0.63 (step @p99 :rule eq-refl :args (@t5)) % 0.45/0.63 (step @p100 :rule cong :premises (@p99) :args (@t45)) % 0.45/0.63 (step @p101 :rule trans :premises (@p100 @p95)) % 0.45/0.63 (step @p102 :rule nary_cong :premises (@p101 @p98) :args (@t46)) % 0.45/0.63 (step @p103 :rule trans :premises (@p102 @p97)) % 0.45/0.63 (step @p104 :rule cong :premises (@p103) :args ((forall @t44 @t46))) % 0.45/0.63 (step @p105 :rule trans :premises (@p104 @p96)) % 0.45/0.63 (step @p106 :rule quant-var-elim-eq :args ((= (forall @t51 @t50) @t46))) % 0.45/0.63 (step @p107 :rule aci_norm :args ((= @t52 @t50))) % 0.45/0.63 (step @p108 :rule cong :premises (@p107) :args (@t53)) % 0.45/0.63 (step @p109 :rule trans :premises (@p108 @p106)) % 0.45/0.63 (step @p110 :rule cong :premises (@p109) :args (@t54)) % 0.45/0.63 (step @p111 :rule quant-merge-prenex :args ((= @t54 @t55))) % 0.45/0.63 (step @p112 :rule symm :premises (@p111)) % 0.45/0.63 (step @p113 :rule quant_var_reordering :args ((= (forall @t11 @t52) @t55))) % 0.45/0.63 (step @p114 :rule trans :premises (@p113 @p112 @p110)) % 0.45/0.63 (step @p115 :rule trans :premises (@p114 @p105)) % 0.45/0.63 (step @p116 :rule beta-reduce :args ((= @t56 @t47))) % 0.45/0.63 (step @p117 :rule beta-reduce :args ((= @t57 @t48))) % 0.45/0.63 (step @p118 :rule cong :premises (@p117) :args (@t58)) % 0.45/0.63 (step @p119 :rule nary_cong :premises (@p118 @p116) :args (@t59)) % 0.45/0.63 (step @p120 :rule cong :premises (@p119) :args (@t60)) % 0.45/0.63 (step @p121 :rule trans :premises (@p120 @p115)) % 0.45/0.63 (step @p122 :rule cong :premises (@p121) :args (@t61)) % 0.45/0.63 (step @p123 :rule trans :premises (@p122 @p95)) % 0.45/0.63 (step @p124 :rule eq-refl :args (tptp.cO)) % 0.45/0.63 (step @p125 :rule beta-reduce :args ((= @t62 (= tptp.cO tptp.cO)))) % 0.45/0.63 (step @p126 :rule trans :premises (@p125 @p124)) % 0.45/0.63 (step @p127 :rule cong :premises (@p126) :args (@t63)) % 0.45/0.63 (step @p128 :rule trans :premises (@p127 @p95)) % 0.45/0.63 (step @p129 :rule nary_cong :premises (@p128 @p123 @p94) :args (@t64)) % 0.45/0.63 (step @p130 :rule trans :premises (@p129 @p91)) % 0.45/0.63 (step @p131 :rule cong :premises (@p14 @p130) :args ((=> @t31 @t64))) % 0.45/0.63 (assume-push @p146 @t31) % 0.45/0.63 (step @p133 :rule instantiate :premises (@p90) :args ((@list @t42))) % 0.45/0.63 (step-pop @p147 :rule scope :premises (@p133)) % 0.45/0.63 (step @p134 :rule process_scope :premises (@p147) :args (@t64)) % 0.45/0.63 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.45/0.63 (step @p137 :rule implies_elim :premises (@p136)) % 0.45/0.63 (step @p138 :rule chain_m_resolution :premises (@p137 @p90) :args (@t39 (@list false) (@list @t31))) % 0.45/0.63 (step @p139 :rule symm :premises (@p138)) % 0.45/0.63 (step @p140 :rule cong :premises (@p139) :args (@t22)) % 0.45/0.63 (step @p141 :rule and_elim :premises (@p89) :args (1)) % 0.45/0.63 (step @p142 :rule true_intro :premises (@p141)) % 0.45/0.63 (step @p143 :rule symm :premises (@p142)) % 0.45/0.63 (step @p144 :rule trans :premises (@p143 @p140 @p88)) % 0.45/0.63 (step @p145 false :rule eq_resolve :premises (@p144 @p3)) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------