%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU926^5 : 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 : n020.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 08:53:32 AM UTC 2026 % Result : Theorem 0.87s 1.05s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU926^5 : 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 % 0.18/0.35 % Computer : n020.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 : Tue Jun 2 18:00:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.87/1.05 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.87/1.05 % SZS status Theorem % 0.87/1.05 % SZS output start Proof % 0.87/1.05 ( % 0.87/1.05 (declare-sort $$unsorted 0) % 0.87/1.05 (define @t1 () (@var "Y" $$unsorted)) % 0.87/1.05 (define @t2 () (@var "G" (-> $$unsorted $$unsorted))) % 0.87/1.05 (define @t3 () (_ @t2 @t1)) % 0.87/1.05 (define @t4 () (@var "P" (-> $$unsorted Bool))) % 0.87/1.05 (define @t5 () (_ @t4 @t3)) % 0.87/1.05 (define @t6 () (_ @t4 @t1)) % 0.87/1.05 (define @t7 () (@list @t1)) % 0.87/1.05 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.87/1.05 (define @t9 () (@var "Z" $$unsorted)) % 0.87/1.05 (define @t10 () (_ @t2 @t9)) % 0.87/1.05 (define @t11 () (_ @t2 @t10)) % 0.87/1.05 (define @t12 () (@list @t9)) % 0.87/1.05 (define @t13 () (lambda @t12 @t11)) % 0.87/1.05 (define @t14 () (@var "M" (-> (-> $$unsorted $$unsorted) Bool))) % 0.87/1.05 (define @t15 () (_ @t14 @t13)) % 0.87/1.05 (define @t16 () (and @t15 @t8)) % 0.87/1.05 (define @t17 () (_ @t14 @t2)) % 0.87/1.05 (define @t18 () (=> @t17 @t16)) % 0.87/1.05 (define @t19 () (@list @t2)) % 0.87/1.05 (define @t20 () (forall @t19 @t18)) % 0.87/1.05 (define @t21 () (@list @t14)) % 0.87/1.05 (define @t22 () (exists @t21 @t20)) % 0.87/1.05 (define @t23 () (@list @t4)) % 0.87/1.05 (define @t24 () (forall @t23 @t22)) % 0.87/1.05 (define @t25 () (not @t24)) % 0.87/1.05 (define @t26 () (@var "BOUND_VARIABLE_7462" $$unsorted)) % 0.87/1.05 (define @t27 () (_ @t2 @t26)) % 0.87/1.05 (define @t28 () (or (not (_ @t4 @t26)) (_ @t4 @t27))) % 0.87/1.05 (define @t29 () (_ @t2 @t9)) % 0.87/1.05 (define @t30 () (_ @t2 @t29)) % 0.87/1.05 (define @t31 () (lambda @t12 @t30)) % 0.87/1.05 (define @t32 () (_ @t14 @t31)) % 0.87/1.05 (define @t33 () (and @t32 @t28)) % 0.87/1.05 (define @t34 () (_ @t14 @t2)) % 0.87/1.05 (define @t35 () (not @t34)) % 0.87/1.05 (define @t36 () (or @t35 @t33)) % 0.87/1.05 (define @t37 () (@list @t2 @t26)) % 0.87/1.05 (define @t38 () (forall @t37 @t36)) % 0.87/1.05 (define @t39 () (not (forall @t21 (not @t38)))) % 0.87/1.05 (define @t40 () (@list @t26)) % 0.87/1.05 (define @t41 () (forall @t40 @t36)) % 0.87/1.05 (define @t42 () (forall @t40 @t28)) % 0.87/1.05 (define @t43 () (forall @t40 @t32)) % 0.87/1.05 (define @t44 () (and @t43 @t42)) % 0.87/1.05 (define @t45 () (forall @t40 @t33)) % 0.87/1.05 (define @t46 () (or @t35 @t45)) % 0.87/1.05 (define @t47 () (_ @t2 @t1)) % 0.87/1.05 (define @t48 () (_ @t4 @t47)) % 0.87/1.05 (define @t49 () (_ @t4 @t1)) % 0.87/1.05 (define @t50 () (forall @t7 (or (not @t49) @t48))) % 0.87/1.05 (define @t51 () (and @t15 @t50)) % 0.87/1.05 (define @t52 () (not @t17)) % 0.87/1.05 (define @t53 () (or @t52 @t51)) % 0.87/1.05 (define @t54 () (not @t6)) % 0.87/1.05 (define @t55 () (or @t54 @t5)) % 0.87/1.05 (define @t56 () (forall @t23 @t39)) % 0.87/1.05 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.87/1.05 (define @t58 () (or (not (_ @t57 @t26)) (_ @t57 @t27))) % 0.87/1.05 (define @t59 () (forall @t21 (not (forall @t37 (or @t35 (and @t32 @t58)))))) % 0.87/1.05 (define @t60 () (not @t56)) % 0.87/1.05 (define @t61 () (not (not @t59))) % 0.87/1.05 (define @t62 () (lambda (@list (@var "BOUND_VARIABLE_14603" (-> $$unsorted $$unsorted))) false)) % 0.87/1.05 (define @t63 () (_ @t62 @t31)) % 0.87/1.05 (define @t64 () (and @t63 @t58)) % 0.87/1.05 (define @t65 () (_ @t62 @t2)) % 0.87/1.05 (define @t66 () (not @t65)) % 0.87/1.05 (define @t67 () (or @t66 @t64)) % 0.87/1.05 (define @t68 () (forall @t37 @t67)) % 0.87/1.05 (define @t69 () (not @t68)) % 0.87/1.05 (assume @p1 @t25) % 0.87/1.05 (assume @p2 true) % 0.87/1.05 (step @p3 :rule exists-elim :args ((= (exists @t21 @t38) @t39))) % 0.87/1.05 (step @p4 :rule quant-merge-prenex :args ((= (forall @t19 @t41) @t38))) % 0.87/1.05 (step @p5 :rule alpha_equiv :args (@t42 (@list @t26) (@list @t1))) % 0.87/1.05 (step @p6 :rule quant-unused-vars :args ((= @t43 @t32))) % 0.87/1.05 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t44)) % 0.87/1.05 (step @p8 :rule quant-miniscope-and :args ((= @t45 @t44))) % 0.87/1.05 (step @p9 :rule trans :premises (@p8 @p7)) % 0.87/1.05 (step @p10 :rule refl :args (@t35)) % 0.87/1.05 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t46)) % 0.87/1.05 (step @p12 :rule quant-miniscope-or :args ((= @t41 @t46))) % 0.87/1.05 (step @p13 :rule trans :premises (@p12 @p11)) % 0.87/1.05 (step @p14 :rule symm :premises (@p13)) % 0.87/1.05 (step @p15 :rule cong :premises (@p14) :args ((forall @t19 (or @t35 (and @t32 @t50))))) % 0.87/1.05 (step @p16 :rule trans :premises (@p15 @p4)) % 0.87/1.05 (step @p17 :rule refl :args (@t50)) % 0.87/1.05 (step @p18 :rule refl :args ((_ @t14 @t13))) % 0.87/1.05 (step @p19 :rule refl :args ((_ @t2 @t10))) % 0.87/1.05 (step @p20 :rule refl :args (@t29)) % 0.87/1.05 (step @p21 :rule cong :premises (@p20) :args (@t30)) % 0.87/1.05 (step @p22 :rule trans :premises (@p21 @p19)) % 0.87/1.05 (step @p23 :rule cong :premises (@p22) :args (@t31)) % 0.87/1.05 (step @p24 :rule cong :premises (@p23) :args (@t32)) % 0.87/1.05 (step @p25 :rule trans :premises (@p24 @p18)) % 0.87/1.05 (step @p26 :rule refl :args (@t14)) % 0.87/1.05 (step @p27 :rule ho_cong :premises (@p26 @p23)) % 0.87/1.05 (step @p28 :rule cong :premises (@p27 @p25) :args ((= (_ @t14 @t31) @t32))) % 0.87/1.05 (step @p29 :rule symm :premises (@p28)) % 0.87/1.05 (step @p30 :rule refl :args (@t15)) % 0.87/1.05 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.87/1.05 (step @p32 :rule refl :args (@t2)) % 0.87/1.05 (step @p33 :rule ho_cong :premises (@p32 @p20)) % 0.87/1.05 (step @p34 :rule cong :premises (@p33 @p22) :args ((= (_ @t2 @t29) @t30))) % 0.87/1.05 (step @p35 :rule symm :premises (@p34)) % 0.87/1.05 (step @p36 :rule refl :args (@t11)) % 0.87/1.05 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.87/1.05 (step @p38 :rule refl :args (@t10)) % 0.87/1.05 (step @p39 :rule cong :premises (@p38 @p20) :args ((= @t10 @t29))) % 0.87/1.05 (step @p40 :rule symm :premises (@p39)) % 0.87/1.05 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.87/1.05 (step @p42 :rule ho_cong :premises (@p32 @p41)) % 0.87/1.05 (step @p43 :rule trans :premises (@p42 @p37)) % 0.87/1.05 (step @p44 :rule cong :premises (@p43) :args (@t13)) % 0.87/1.05 (step @p45 :rule ho_cong :premises (@p26 @p44)) % 0.87/1.05 (step @p46 :rule trans :premises (@p45 @p31)) % 0.87/1.05 (step @p47 :rule nary_cong :premises (@p46 @p17) :args (@t51)) % 0.87/1.05 (step @p48 :rule refl :args (@t34)) % 0.87/1.05 (step @p49 :rule refl :args (@t17)) % 0.87/1.05 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t17 @t34))) % 0.87/1.05 (step @p51 :rule symm :premises (@p50)) % 0.87/1.05 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.87/1.05 (step @p53 :rule cong :premises (@p52) :args (@t52)) % 0.87/1.05 (step @p54 :rule nary_cong :premises (@p53 @p47) :args (@t53)) % 0.87/1.05 (step @p55 :rule cong :premises (@p54) :args ((forall @t19 @t53))) % 0.87/1.05 (step @p56 :rule trans :premises (@p55 @p16)) % 0.87/1.05 (step @p57 :rule bool-impl-elim :args (@t17 @t51)) % 0.87/1.05 (step @p58 :rule cong :premises (@p57) :args ((forall @t19 (=> @t17 @t51)))) % 0.87/1.05 (step @p59 :rule trans :premises (@p58 @p56)) % 0.87/1.05 (step @p60 :rule refl :args ((_ @t4 @t3))) % 0.87/1.05 (step @p61 :rule refl :args (@t47)) % 0.87/1.05 (step @p62 :rule cong :premises (@p61) :args (@t48)) % 0.87/1.05 (step @p63 :rule trans :premises (@p62 @p60)) % 0.87/1.05 (step @p64 :rule refl :args (@t4)) % 0.87/1.05 (step @p65 :rule ho_cong :premises (@p64 @p61)) % 0.87/1.05 (step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ @t4 @t47) @t48))) % 0.87/1.05 (step @p67 :rule symm :premises (@p66)) % 0.87/1.05 (step @p68 :rule refl :args (@t5)) % 0.87/1.05 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.87/1.05 (step @p70 :rule refl :args (@t3)) % 0.87/1.05 (step @p71 :rule cong :premises (@p70 @p61) :args ((= @t3 @t47))) % 0.87/1.05 (step @p72 :rule symm :premises (@p71)) % 0.87/1.05 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.87/1.05 (step @p74 :rule ho_cong :premises (@p64 @p73)) % 0.87/1.05 (step @p75 :rule trans :premises (@p74 @p69)) % 0.87/1.05 (step @p76 :rule refl :args (@t49)) % 0.87/1.05 (step @p77 :rule refl :args (@t6)) % 0.87/1.05 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t6 @t49))) % 0.87/1.05 (step @p79 :rule symm :premises (@p78)) % 0.87/1.05 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.87/1.05 (step @p81 :rule cong :premises (@p80) :args (@t54)) % 0.87/1.05 (step @p82 :rule nary_cong :premises (@p81 @p75) :args (@t55)) % 0.87/1.05 (step @p83 :rule cong :premises (@p82) :args ((forall @t7 @t55))) % 0.87/1.05 (step @p84 :rule bool-impl-elim :args (@t6 @t5)) % 0.87/1.05 (step @p85 :rule cong :premises (@p84) :args (@t8)) % 0.87/1.05 (step @p86 :rule trans :premises (@p85 @p83)) % 0.87/1.05 (step @p87 :rule refl :args (@t15)) % 0.87/1.05 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t16)) % 0.87/1.05 (step @p89 :rule refl :args (@t17)) % 0.87/1.05 (step @p90 :rule cong :premises (@p89 @p88) :args (@t18)) % 0.87/1.05 (step @p91 :rule cong :premises (@p90) :args (@t20)) % 0.87/1.05 (step @p92 :rule trans :premises (@p91 @p59)) % 0.87/1.05 (step @p93 :rule cong :premises (@p92) :args (@t22)) % 0.87/1.05 (step @p94 :rule trans :premises (@p93 @p3)) % 0.87/1.05 (step @p95 :rule cong :premises (@p94) :args (@t24)) % 0.87/1.05 (step @p96 :rule cong :premises (@p95) :args (@t25)) % 0.87/1.05 (step @p97 :rule eq_resolve :premises (@p1 @p96)) % 0.87/1.05 (step @p98 :rule refl :args (@t59)) % 0.87/1.05 (step @p99 :rule bool-double-not-elim :args (@t56)) % 0.87/1.05 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t60) @t59))) % 0.87/1.05 (step @p101 :rule bool-double-not-elim :args (@t59)) % 0.87/1.05 (step @p102 :rule refl :args (@t60)) % 0.87/1.05 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t60 @t61))) % 0.87/1.05 (assume-push @p139 @t60) % 0.87/1.05 (step @p105 :rule skolemize :premises (@p97)) % 0.87/1.05 (step-pop @p140 :rule scope :premises (@p105)) % 0.87/1.05 (step @p106 :rule process_scope :premises (@p140) :args (@t61)) % 0.87/1.05 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.87/1.05 (step @p109 :rule implies_elim :premises (@p108)) % 0.87/1.05 (step @p110 :rule eq_resolve :premises (@p109 @p100)) % 0.87/1.06 (step @p111 :rule chain_m_resolution :premises (@p110 @p97) :args (@t59 (@list true) (@list @t56))) % 0.87/1.06 (step @p112 :rule bool-impl-false1 :args (@t59)) % 0.87/1.06 (step @p113 :rule evaluate :args ((not true))) % 0.87/1.06 (step @p114 :rule quant-unused-vars :args ((= (forall @t37 true) true))) % 0.87/1.06 (step @p115 :rule evaluate :args ((or true false))) % 0.87/1.06 (step @p116 :rule absorb :args ((= (and false @t58) false))) % 0.87/1.06 (step @p117 :rule refl :args (@t58)) % 0.87/1.06 (step @p118 :rule beta-reduce :args ((= @t63 false))) % 0.87/1.06 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t64)) % 0.87/1.06 (step @p120 :rule trans :premises (@p119 @p116)) % 0.87/1.06 (step @p121 :rule evaluate :args ((not false))) % 0.87/1.06 (step @p122 :rule beta-reduce :args ((= @t65 false))) % 0.87/1.06 (step @p123 :rule cong :premises (@p122) :args (@t66)) % 0.87/1.06 (step @p124 :rule trans :premises (@p123 @p121)) % 0.87/1.06 (step @p125 :rule nary_cong :premises (@p124 @p120) :args (@t67)) % 0.87/1.06 (step @p126 :rule trans :premises (@p125 @p115)) % 0.87/1.06 (step @p127 :rule cong :premises (@p126) :args (@t68)) % 0.87/1.06 (step @p128 :rule trans :premises (@p127 @p114)) % 0.87/1.06 (step @p129 :rule cong :premises (@p128) :args (@t69)) % 0.87/1.06 (step @p130 :rule trans :premises (@p129 @p113)) % 0.87/1.06 (step @p131 :rule cong :premises (@p98 @p130) :args ((=> @t59 @t69))) % 0.87/1.06 (step @p132 :rule trans :premises (@p131 @p112)) % 0.87/1.06 (assume-push @p141 @t59) % 0.87/1.06 (step @p134 :rule instantiate :premises (@p111) :args ((@list @t62))) % 0.87/1.06 (step-pop @p142 :rule scope :premises (@p134)) % 0.87/1.06 (step @p135 :rule process_scope :premises (@p142) :args (@t69)) % 0.87/1.06 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.87/1.06 (step @p138 false :rule chain_m_resolution :premises (@p137 @p111) :args (false (@list false) (@list @t59))) % 0.87/1.06 ) % 0.87/1.06 % SZS output end Proof % 0.87/1.06 % cvc5 exiting %------------------------------------------------------------------------------