%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO221^5 : 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 : n015.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 09:12:15 AM UTC 2026 % Result : Theorem 0.47s 0.66s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO221^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.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 00:01:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.47/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.66 % SZS status Theorem % 0.47/0.66 % SZS output start Proof % 0.47/0.66 ( % 0.47/0.66 (declare-sort $$unsorted 0) % 0.47/0.66 (declare-const tptp.a $$unsorted) % 0.47/0.66 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.47/0.66 (declare-const tptp.b $$unsorted) % 0.47/0.66 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 0.47/0.66 (define @t2 () (_ @t1 tptp.b)) % 0.47/0.66 (define @t3 () (not @t2)) % 0.47/0.66 (define @t4 () (@var "Xy" $$unsorted)) % 0.47/0.66 (define @t5 () (_ @t1 @t4)) % 0.47/0.66 (define @t6 () (@list @t4)) % 0.47/0.66 (define @t7 () (exists @t6 @t5)) % 0.47/0.66 (define @t8 () (@var "Xx" $$unsorted)) % 0.47/0.66 (define @t9 () (_ tptp.cP @t8)) % 0.47/0.66 (define @t10 () (_ @t1 @t8)) % 0.47/0.66 (define @t11 () (@list @t8)) % 0.47/0.66 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.47/0.66 (define @t13 () (and @t12 @t7 @t3)) % 0.47/0.66 (define @t14 () (not (= tptp.a tptp.b))) % 0.47/0.66 (define @t15 () (_ tptp.cP tptp.a)) % 0.47/0.66 (define @t16 () (and @t15 @t14)) % 0.47/0.66 (define @t17 () (=> @t16 @t13)) % 0.47/0.66 (define @t18 () (@list @t1)) % 0.47/0.66 (define @t19 () (exists @t18 @t17)) % 0.47/0.66 (define @t20 () (not @t19)) % 0.47/0.66 (define @t21 () (@var "BOUND_VARIABLE_7461" (-> $$unsorted Bool))) % 0.47/0.66 (define @t22 () (_ @t21 tptp.b)) % 0.47/0.66 (define @t23 () (@var "BOUND_VARIABLE_7479" $$unsorted)) % 0.47/0.66 (define @t24 () (not (_ @t21 @t23))) % 0.47/0.66 (define @t25 () (tptp.cP @t8)) % 0.47/0.66 (define @t26 () (not (forall @t11 (or (not (_ @t21 @t8)) @t25)))) % 0.47/0.66 (define @t27 () (or @t26 @t24 @t22)) % 0.47/0.66 (define @t28 () (forall (@list @t21 @t23) @t27)) % 0.47/0.66 (define @t29 () (= tptp.b tptp.a)) % 0.47/0.66 (define @t30 () (not @t29)) % 0.47/0.66 (define @t31 () (tptp.cP tptp.a)) % 0.47/0.66 (define @t32 () (and @t15 @t30 @t28)) % 0.47/0.66 (define @t33 () (@list @t23)) % 0.47/0.66 (define @t34 () (forall @t33 @t27)) % 0.47/0.66 (define @t35 () (@list @t21)) % 0.47/0.66 (define @t36 () (forall @t33 @t24)) % 0.47/0.66 (define @t37 () (or @t26 @t36 @t22)) % 0.47/0.66 (define @t38 () (forall @t6 (not (_ @t21 @t4)))) % 0.47/0.66 (define @t39 () (_ @t21 tptp.b)) % 0.47/0.66 (define @t40 () (or @t26 @t38 @t39)) % 0.47/0.66 (define @t41 () (forall @t35 @t40)) % 0.47/0.66 (define @t42 () (_ @t1 @t4)) % 0.47/0.66 (define @t43 () (forall @t6 (not @t42))) % 0.47/0.66 (define @t44 () (_ @t1 @t8)) % 0.47/0.66 (define @t45 () (forall @t11 (or (not @t44) @t25))) % 0.47/0.66 (define @t46 () (not @t45)) % 0.47/0.66 (define @t47 () (or @t46 @t43 @t2)) % 0.47/0.66 (define @t48 () (forall @t18 @t47)) % 0.47/0.66 (define @t49 () (forall @t18 @t30)) % 0.47/0.66 (define @t50 () (forall @t18 @t15)) % 0.47/0.66 (define @t51 () (and @t50 @t49 @t48)) % 0.47/0.66 (define @t52 () (and @t15 @t30 @t47)) % 0.47/0.66 (define @t53 () (and @t15 @t30)) % 0.47/0.66 (define @t54 () (not @t3)) % 0.47/0.66 (define @t55 () (not @t43)) % 0.47/0.66 (define @t56 () (not @t55)) % 0.47/0.66 (define @t57 () (or @t46 @t56 @t54)) % 0.47/0.66 (define @t58 () (and @t45 @t55 @t3)) % 0.47/0.66 (define @t59 () (=> @t53 @t58)) % 0.47/0.66 (define @t60 () (forall @t18 (not @t59))) % 0.47/0.66 (define @t61 () (not @t60)) % 0.47/0.66 (define @t62 () (not @t5)) % 0.47/0.66 (define @t63 () (forall @t6 @t62)) % 0.47/0.66 (define @t64 () (not @t63)) % 0.47/0.66 (define @t65 () (not @t10)) % 0.47/0.66 (define @t66 () (or @t65 @t9)) % 0.47/0.66 (define @t67 () (not @t31)) % 0.47/0.66 (define @t68 () (or @t67 @t29)) % 0.47/0.66 (define @t69 () (not @t68)) % 0.47/0.66 (define @t70 () (@list true false)) % 0.47/0.66 (define @t71 () (@var "BOUND_VARIABLE_21781" $$unsorted)) % 0.47/0.66 (define @t72 () (lambda (@list @t71) (= @t71 tptp.a))) % 0.47/0.66 (define @t73 () (_ @t72 tptp.b)) % 0.47/0.66 (define @t74 () (= tptp.a tptp.a)) % 0.47/0.66 (define @t75 () (_ @t72 tptp.a)) % 0.47/0.66 (define @t76 () (not @t75)) % 0.47/0.66 (define @t77 () (not @t74)) % 0.47/0.66 (define @t78 () (or @t77 @t31)) % 0.47/0.66 (define @t79 () (not (= tptp.a @t8))) % 0.47/0.66 (define @t80 () (= @t8 tptp.a)) % 0.47/0.66 (define @t81 () (or @t79 @t79 @t25)) % 0.47/0.66 (define @t82 () (or @t79 @t25)) % 0.47/0.66 (define @t83 () (_ @t72 @t8)) % 0.47/0.66 (define @t84 () (not @t83)) % 0.47/0.66 (define @t85 () (or @t84 @t25)) % 0.47/0.66 (define @t86 () (forall @t11 @t85)) % 0.47/0.66 (define @t87 () (not @t86)) % 0.47/0.66 (define @t88 () (or @t87 @t76 @t73)) % 0.47/0.66 (assume @p1 @t20) % 0.47/0.66 (assume @p2 true) % 0.47/0.66 (step @p3 :rule refl :args (@t28)) % 0.47/0.66 (step @p4 :rule refl :args (@t30)) % 0.47/0.66 (step @p5 :rule refl :args (@t31)) % 0.47/0.66 (step @p6 :rule refl :args (@t15)) % 0.47/0.66 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t15 @t31))) % 0.47/0.66 (step @p8 :rule symm :premises (@p7)) % 0.47/0.66 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.47/0.66 (step @p10 :rule nary_cong :premises (@p9 @p4 @p3) :args (@t32)) % 0.47/0.66 (step @p11 :rule bool-double-not-elim :args (@t32)) % 0.47/0.66 (step @p12 :rule quant-merge-prenex :args ((= (forall @t35 @t34) @t28))) % 0.47/0.66 (step @p13 :rule refl :args (@t22)) % 0.47/0.66 (step @p14 :rule alpha_equiv :args (@t36 (@list @t23) (@list @t4))) % 0.47/0.66 (step @p15 :rule refl :args (@t26)) % 0.47/0.66 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t37)) % 0.47/0.66 (step @p17 :rule quant-miniscope-or :args ((= @t34 @t37))) % 0.47/0.66 (step @p18 :rule trans :premises (@p17 @p16)) % 0.47/0.66 (step @p19 :rule symm :premises (@p18)) % 0.47/0.66 (step @p20 :rule cong :premises (@p19) :args ((forall @t35 (or @t26 @t38 @t22)))) % 0.47/0.66 (step @p21 :rule trans :premises (@p20 @p12)) % 0.47/0.66 (step @p22 :rule refl :args (@t22)) % 0.47/0.66 (step @p23 :rule refl :args (@t39)) % 0.47/0.66 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t39 @t22))) % 0.47/0.66 (step @p25 :rule symm :premises (@p24)) % 0.47/0.66 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.47/0.66 (step @p27 :rule refl :args (@t38)) % 0.47/0.66 (step @p28 :rule nary_cong :premises (@p15 @p27 @p26) :args (@t40)) % 0.47/0.66 (step @p29 :rule cong :premises (@p28) :args (@t41)) % 0.47/0.66 (step @p30 :rule trans :premises (@p29 @p21)) % 0.47/0.66 (step @p31 :rule refl :args (@t15)) % 0.47/0.66 (step @p32 :rule nary_cong :premises (@p31 @p4 @p30) :args ((and @t15 @t30 @t41))) % 0.47/0.66 (step @p33 :rule alpha_equiv :args (@t48 (@list @t1) (@list @t21))) % 0.47/0.66 (step @p34 :rule quant-unused-vars :args ((= @t49 @t30))) % 0.47/0.66 (step @p35 :rule quant-unused-vars :args ((= @t50 @t15))) % 0.47/0.66 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args (@t51)) % 0.47/0.66 (step @p37 :rule quant-miniscope-and :args ((= (forall @t18 @t52) @t51))) % 0.47/0.66 (step @p38 :rule trans :premises (@p37 @p36)) % 0.47/0.66 (step @p39 :rule trans :premises (@p38 @p32)) % 0.47/0.66 (step @p40 :rule aci_norm :args ((= (and @t53 @t47) @t52))) % 0.47/0.66 (step @p41 :rule bool-double-not-elim :args (@t2)) % 0.47/0.66 (step @p42 :rule bool-double-not-elim :args (@t43)) % 0.47/0.66 (step @p43 :rule refl :args (@t46)) % 0.47/0.66 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args (@t57)) % 0.47/0.66 (step @p45 :rule aci_norm :args ((= (or @t46 (or @t56 @t54)) @t57))) % 0.47/0.66 (step @p46 :rule trans :premises (@p45 @p44)) % 0.47/0.66 (step @p47 :rule bool-and-de-morgan :args (@t55 @t3 true)) % 0.47/0.66 (step @p48 :rule nary_cong :premises (@p43 @p47) :args ((or @t46 (not (and @t55 @t3))))) % 0.47/0.66 (step @p49 :rule bool-and-de-morgan :args (@t45 @t55 (and @t3))) % 0.47/0.66 (step @p50 :rule trans :premises (@p49 @p48)) % 0.47/0.66 (step @p51 :rule trans :premises (@p50 @p46)) % 0.47/0.66 (step @p52 :rule refl :args (@t53)) % 0.47/0.66 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((and @t53 (not @t58)))) % 0.47/0.66 (step @p54 :rule trans :premises (@p53 @p40)) % 0.47/0.66 (step @p55 :rule bool-implies-de-morgan :args (@t53 @t58)) % 0.47/0.66 (step @p56 :rule trans :premises (@p55 @p54)) % 0.47/0.66 (step @p57 :rule cong :premises (@p56) :args (@t60)) % 0.47/0.66 (step @p58 :rule trans :premises (@p57 @p39)) % 0.47/0.66 (step @p59 :rule cong :premises (@p58) :args (@t61)) % 0.47/0.66 (step @p60 :rule exists-elim :args ((= (exists @t18 @t59) @t61))) % 0.47/0.66 (step @p61 :rule trans :premises (@p60 @p59)) % 0.47/0.66 (step @p62 :rule refl :args (@t3)) % 0.47/0.66 (step @p63 :rule refl :args (@t42)) % 0.47/0.66 (step @p64 :rule refl :args (@t5)) % 0.47/0.66 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t5 @t42))) % 0.47/0.66 (step @p66 :rule symm :premises (@p65)) % 0.47/0.66 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.47/0.66 (step @p68 :rule cong :premises (@p67) :args (@t62)) % 0.47/0.66 (step @p69 :rule cong :premises (@p68) :args (@t63)) % 0.47/0.66 (step @p70 :rule cong :premises (@p69) :args (@t64)) % 0.47/0.66 (step @p71 :rule exists-elim :args ((= @t7 @t64))) % 0.47/0.66 (step @p72 :rule trans :premises (@p71 @p70)) % 0.47/0.66 (step @p73 :rule refl :args (@t25)) % 0.47/0.66 (step @p74 :rule refl :args (@t9)) % 0.47/0.66 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t9 @t25))) % 0.47/0.66 (step @p76 :rule symm :premises (@p75)) % 0.47/0.66 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.47/0.66 (step @p78 :rule refl :args (@t44)) % 0.47/0.66 (step @p79 :rule refl :args (@t10)) % 0.47/0.66 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t10 @t44))) % 0.47/0.66 (step @p81 :rule symm :premises (@p80)) % 0.47/0.66 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.47/0.66 (step @p83 :rule cong :premises (@p82) :args (@t65)) % 0.47/0.66 (step @p84 :rule nary_cong :premises (@p83 @p77) :args (@t66)) % 0.47/0.66 (step @p85 :rule cong :premises (@p84) :args ((forall @t11 @t66))) % 0.47/0.66 (step @p86 :rule bool-impl-elim :args (@t10 @t9)) % 0.47/0.66 (step @p87 :rule cong :premises (@p86) :args (@t12)) % 0.47/0.66 (step @p88 :rule trans :premises (@p87 @p85)) % 0.47/0.66 (step @p89 :rule nary_cong :premises (@p88 @p72 @p62) :args (@t13)) % 0.47/0.66 (step @p90 :rule eq-symm :args (tptp.a tptp.b)) % 0.47/0.66 (step @p91 :rule cong :premises (@p90) :args (@t14)) % 0.47/0.66 (step @p92 :rule nary_cong :premises (@p31 @p91) :args (@t16)) % 0.47/0.66 (step @p93 :rule cong :premises (@p92 @p89) :args (@t17)) % 0.47/0.67 (step @p94 :rule cong :premises (@p93) :args (@t19)) % 0.47/0.67 (step @p95 :rule trans :premises (@p94 @p61)) % 0.47/0.67 (step @p96 :rule cong :premises (@p95) :args (@t20)) % 0.47/0.67 (step @p97 :rule trans :premises (@p96 @p11)) % 0.47/0.67 (step @p98 :rule trans :premises (@p97 @p10)) % 0.47/0.67 (step @p99 :rule eq_resolve :premises (@p1 @p98)) % 0.47/0.67 (step @p100 :rule and_elim :premises (@p99) :args (2)) % 0.47/0.67 (step @p101 :rule and_elim :premises (@p99) :args (0)) % 0.47/0.67 (step @p102 :rule and_elim :premises (@p99) :args (1)) % 0.47/0.67 (step @p103 :rule cnf_or_pos :args (@t68)) % 0.47/0.67 (step @p104 :rule reordering :premises (@p103) :args ((or @t29 @t67 @t69))) % 0.47/0.67 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p101) :args (@t69 @t70 (@list @t29 @t31))) % 0.47/0.67 (step @p106 :rule aci_norm :args ((= (or @t67 false @t29) @t68))) % 0.47/0.67 (step @p107 :rule beta-reduce :args ((= @t73 @t29))) % 0.47/0.67 (step @p108 :rule evaluate :args ((not true))) % 0.47/0.67 (step @p109 :rule eq-refl :args (tptp.a)) % 0.47/0.67 (step @p110 :rule beta-reduce :args ((= @t75 @t74))) % 0.47/0.67 (step @p111 :rule trans :premises (@p110 @p109)) % 0.47/0.67 (step @p112 :rule cong :premises (@p111) :args (@t76)) % 0.47/0.67 (step @p113 :rule trans :premises (@p112 @p108)) % 0.47/0.67 (step @p114 :rule aci_norm :args ((= (or false @t31) @t31))) % 0.47/0.67 (step @p115 :rule refl :args (@t31)) % 0.47/0.67 (step @p116 :rule cong :premises (@p109) :args (@t77)) % 0.47/0.67 (step @p117 :rule trans :premises (@p116 @p108)) % 0.47/0.67 (step @p118 :rule nary_cong :premises (@p117 @p115) :args (@t78)) % 0.47/0.67 (step @p119 :rule trans :premises (@p118 @p114)) % 0.47/0.67 (step @p120 :rule quant-var-elim-eq :args ((= (forall @t11 (or (not @t80) @t79 @t25)) @t78))) % 0.47/0.67 (step @p121 :rule refl :args (@t25)) % 0.47/0.67 (step @p122 :rule refl :args (@t79)) % 0.47/0.67 (step @p123 :rule eq-symm :args (tptp.a @t8)) % 0.47/0.67 (step @p124 :rule cong :premises (@p123) :args (@t79)) % 0.47/0.67 (step @p125 :rule nary_cong :premises (@p124 @p122 @p121) :args (@t81)) % 0.47/0.67 (step @p126 :rule aci_norm :args ((= @t82 @t81))) % 0.47/0.67 (step @p127 :rule trans :premises (@p126 @p125)) % 0.47/0.67 (step @p128 :rule cong :premises (@p127) :args ((forall @t11 @t82))) % 0.47/0.67 (step @p129 :rule trans :premises (@p128 @p120)) % 0.47/0.67 (step @p130 :rule trans :premises (@p129 @p119)) % 0.47/0.67 (step @p131 :rule refl :args (@t25)) % 0.47/0.67 (step @p132 :rule eq-symm :args (@t8 tptp.a)) % 0.47/0.67 (step @p133 :rule beta-reduce :args ((= @t83 @t80))) % 0.47/0.67 (step @p134 :rule trans :premises (@p133 @p132)) % 0.47/0.67 (step @p135 :rule cong :premises (@p134) :args (@t84)) % 0.47/0.67 (step @p136 :rule nary_cong :premises (@p135 @p131) :args (@t85)) % 0.47/0.67 (step @p137 :rule cong :premises (@p136) :args (@t86)) % 0.47/0.67 (step @p138 :rule trans :premises (@p137 @p130)) % 0.47/0.67 (step @p139 :rule cong :premises (@p138) :args (@t87)) % 0.47/0.67 (step @p140 :rule nary_cong :premises (@p139 @p113 @p107) :args (@t88)) % 0.47/0.67 (step @p141 :rule trans :premises (@p140 @p106)) % 0.47/0.67 (step @p142 :rule cong :premises (@p3 @p141) :args ((=> @t28 @t88))) % 0.47/0.67 (assume-push @p150 @t28) % 0.47/0.67 (step @p144 :rule instantiate :premises (@p100) :args ((@list @t72 tptp.a))) % 0.47/0.67 (step-pop @p151 :rule scope :premises (@p144)) % 0.47/0.67 (step @p145 :rule process_scope :premises (@p151) :args (@t88)) % 0.47/0.67 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 0.47/0.67 (step @p148 :rule implies_elim :premises (@p147)) % 0.47/0.67 (step @p149 false :rule chain_m_resolution :premises (@p148 @p105 @p100) :args (false @t70 (@list @t68 @t28))) % 0.47/0.67 ) % 0.47/0.67 % SZS output end Proof % 0.47/0.67 % cvc5 exiting %------------------------------------------------------------------------------