%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO506^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:13:02 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO506^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n004.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Wed Jun 3 00:18:52 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.c (-> Bool $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (define @t1 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t3 () (_ (_ (_ tptp.c false) @t2) @t1)) % 0.31/0.55 (define @t4 () (@list @t2 @t1)) % 0.31/0.55 (define @t5 () (forall @t4 (= @t3 @t1))) % 0.31/0.55 (define @t6 () (not @t5)) % 0.31/0.55 (define @t7 () (_ (_ (_ tptp.c true) @t2) @t1)) % 0.31/0.55 (define @t8 () (forall @t4 (= @t7 @t2))) % 0.31/0.55 (define @t9 () (not @t8)) % 0.31/0.55 (define @t10 () (= @t2 @t1)) % 0.31/0.55 (define @t11 () (_ (_ (_ tptp.c @t10) @t2) @t1)) % 0.31/0.55 (define @t12 () (forall @t4 (= @t11 @t1))) % 0.31/0.55 (define @t13 () (or @t12 @t9 @t6)) % 0.31/0.55 (define @t14 () (not @t13)) % 0.31/0.55 (define @t15 () (tptp.c false @t2 @t1)) % 0.31/0.55 (define @t16 () (= @t1 @t3)) % 0.31/0.55 (define @t17 () (tptp.c true @t2 @t1)) % 0.31/0.55 (define @t18 () (= @t2 @t7)) % 0.31/0.55 (define @t19 () (tptp.c @t10 @t2 @t1)) % 0.31/0.55 (define @t20 () (= @t1 @t11)) % 0.31/0.55 (define @t21 () (forall @t4 (= @t1 @t19))) % 0.31/0.55 (define @t22 () (@quantifiers_skolemize @t21 1)) % 0.31/0.55 (define @t23 () (@quantifiers_skolemize @t21 0)) % 0.31/0.55 (define @t24 () (= @t23 @t22)) % 0.31/0.55 (define @t25 () (@purify @t24)) % 0.31/0.55 (define @t26 () (= @t22 (tptp.c @t25 @t23 @t22))) % 0.31/0.55 (define @t27 () (not @t26)) % 0.31/0.55 (define @t28 () (not @t21)) % 0.31/0.55 (define @t29 () (tptp.c @t24 @t23 @t22)) % 0.31/0.55 (define @t30 () (= @t22 @t29)) % 0.31/0.55 (define @t31 () (not @t30)) % 0.31/0.55 (define @t32 () (@list true)) % 0.31/0.55 (define @t33 () (not @t24)) % 0.31/0.55 (define @t34 () (@purify true)) % 0.31/0.55 (define @t35 () (tptp.c true @t23 @t22)) % 0.31/0.55 (define @t36 () (= @t23 @t35)) % 0.31/0.55 (define @t37 () (forall @t4 (= @t2 @t17))) % 0.31/0.55 (define @t38 () (@list @t23 @t22)) % 0.31/0.55 (define @t39 () (tptp.c @t34 @t23 @t22)) % 0.31/0.55 (define @t40 () (= @t23 @t39)) % 0.31/0.55 (define @t41 () (@list false)) % 0.31/0.55 (define @t42 () (and @t24 @t25 @t34 @t40)) % 0.31/0.55 (define @t43 () (not @t25)) % 0.31/0.55 (define @t44 () (@purify false)) % 0.31/0.55 (define @t45 () (not @t44)) % 0.31/0.55 (define @t46 () (tptp.c false @t23 @t22)) % 0.31/0.55 (define @t47 () (= @t22 @t46)) % 0.31/0.55 (define @t48 () (forall @t4 (= @t1 @t15))) % 0.31/0.55 (define @t49 () (tptp.c @t44 @t23 @t22)) % 0.31/0.55 (define @t50 () (= @t22 @t49)) % 0.31/0.55 (define @t51 () (not @t50)) % 0.31/0.55 (define @t52 () (and @t43 @t50 @t45)) % 0.31/0.55 (assume @p1 @t14) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule refl :args (@t15)) % 0.31/0.55 (step @p4 :rule refl :args (@t3)) % 0.31/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t15))) % 0.31/0.55 (step @p6 :rule symm :premises (@p5)) % 0.31/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.31/0.55 (step @p8 :rule refl :args (@t1)) % 0.31/0.55 (step @p9 :rule cong :premises (@p8 @p7) :args (@t16)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9) :args ((forall @t4 @t16))) % 0.31/0.55 (step @p11 :rule eq-symm :args (@t3 @t1)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11) :args (@t5)) % 0.31/0.55 (step @p13 :rule trans :premises (@p12 @p10)) % 0.31/0.55 (step @p14 :rule cong :premises (@p13) :args (@t6)) % 0.31/0.55 (step @p15 :rule refl :args (@t17)) % 0.31/0.55 (step @p16 :rule refl :args (@t7)) % 0.31/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t7 @t17))) % 0.31/0.55 (step @p18 :rule symm :premises (@p17)) % 0.31/0.55 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.31/0.55 (step @p20 :rule refl :args (@t2)) % 0.31/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args (@t18)) % 0.31/0.55 (step @p22 :rule cong :premises (@p21) :args ((forall @t4 @t18))) % 0.31/0.55 (step @p23 :rule eq-symm :args (@t7 @t2)) % 0.31/0.55 (step @p24 :rule cong :premises (@p23) :args (@t8)) % 0.31/0.55 (step @p25 :rule trans :premises (@p24 @p22)) % 0.31/0.55 (step @p26 :rule cong :premises (@p25) :args (@t9)) % 0.31/0.55 (step @p27 :rule refl :args (@t19)) % 0.31/0.55 (step @p28 :rule refl :args (@t11)) % 0.31/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t11 @t19))) % 0.31/0.55 (step @p30 :rule symm :premises (@p29)) % 0.31/0.55 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.31/0.55 (step @p32 :rule cong :premises (@p8 @p31) :args (@t20)) % 0.31/0.55 (step @p33 :rule cong :premises (@p32) :args ((forall @t4 @t20))) % 0.31/0.55 (step @p34 :rule eq-symm :args (@t11 @t1)) % 0.31/0.55 (step @p35 :rule cong :premises (@p34) :args (@t12)) % 0.31/0.55 (step @p36 :rule trans :premises (@p35 @p33)) % 0.31/0.55 (step @p37 :rule nary_cong :premises (@p36 @p26 @p14) :args (@t13)) % 0.31/0.55 (step @p38 :rule cong :premises (@p37) :args (@t14)) % 0.31/0.55 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.31/0.55 (step @p40 :rule not_or_elim :premises (@p39) :args (0)) % 0.31/0.55 (step @p41 :rule refl :args (@t27)) % 0.31/0.55 (step @p42 :rule bool-double-not-elim :args (@t21)) % 0.31/0.55 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t28) @t27))) % 0.31/0.55 (step @p44 :rule refl :args (@t22)) % 0.31/0.55 (step @p45 :rule refl :args (@t23)) % 0.31/0.55 (step @p46 :rule eq-refl :args (@t24)) % 0.31/0.55 (step @p47 :rule skolem_intro :args (@t25)) % 0.31/0.55 (step @p48 :rule refl :args (@t24)) % 0.31/0.55 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t24 @t25))) % 0.31/0.55 (step @p50 :rule trans :premises (@p49 @p46)) % 0.31/0.55 (step @p51 :rule true_elim :premises (@p50)) % 0.31/0.55 (step @p52 :rule cong :premises (@p51 @p45 @p44) :args (@t29)) % 0.31/0.55 (step @p53 :rule cong :premises (@p44 @p52) :args (@t30)) % 0.31/0.55 (step @p54 :rule cong :premises (@p53) :args (@t31)) % 0.31/0.55 (step @p55 :rule refl :args (@t28)) % 0.31/0.55 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t28 @t31))) % 0.31/0.55 (assume-push @p171 @t28) % 0.31/0.55 (step @p58 :rule skolemize :premises (@p40)) % 0.31/0.55 (step-pop @p172 :rule scope :premises (@p58)) % 0.31/0.55 (step @p59 :rule process_scope :premises (@p172) :args (@t31)) % 0.31/0.55 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.31/0.55 (step @p62 :rule implies_elim :premises (@p61)) % 0.31/0.55 (step @p63 :rule eq_resolve :premises (@p62 @p43)) % 0.31/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p40) :args (@t27 @t32 (@list @t21))) % 0.31/0.55 (step @p65 :rule equiv_elim1 :premises (@p51)) % 0.31/0.55 (step @p66 :rule reordering :premises (@p65) :args ((or @t25 @t33))) % 0.31/0.55 (step @p67 :rule not_or_elim :premises (@p39) :args (1)) % 0.31/0.55 (step @p68 :rule not_not_elim :premises (@p67)) % 0.31/0.55 (step @p69 :rule skolem_intro :args (@t34)) % 0.31/0.55 (step @p70 :rule symm :premises (@p69)) % 0.31/0.55 (step @p71 :rule cong :premises (@p70 @p45 @p44) :args (@t35)) % 0.31/0.55 (step @p72 :rule cong :premises (@p45 @p71) :args (@t36)) % 0.31/0.55 (step @p73 :rule refl :args (@t37)) % 0.31/0.55 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t37 @t36))) % 0.31/0.55 (assume-push @p173 @t37) % 0.31/0.55 (step @p76 :rule instantiate :premises (@p68) :args (@t38)) % 0.31/0.55 (step-pop @p174 :rule scope :premises (@p76)) % 0.31/0.55 (step @p77 :rule process_scope :premises (@p174) :args (@t36)) % 0.31/0.55 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 0.31/0.55 (step @p80 :rule implies_elim :premises (@p79)) % 0.31/0.55 (step @p81 :rule chain_m_resolution :premises (@p80 @p68) :args (@t40 @t41 (@list @t37))) % 0.31/0.55 (step @p82 :rule bool-eq-true :args (@t34)) % 0.31/0.55 (step @p83 :rule eq_resolve :premises (@p69 @p82)) % 0.31/0.55 (assume-push @p175 @t24) % 0.31/0.55 (assume-push @p176 @t25) % 0.31/0.55 (assume-push @p177 @t34) % 0.31/0.55 (assume-push @p178 @t40) % 0.31/0.55 (assume-push @p179 @t25) % 0.31/0.55 (assume-push @p180 @t34) % 0.31/0.55 (assume-push @p181 @t40) % 0.31/0.55 (assume-push @p182 @t24) % 0.31/0.55 (step @p92 :rule true_intro :premises (@p176)) % 0.31/0.55 (step @p93 :rule symm :premises (@p92)) % 0.31/0.55 (step @p94 :rule trans :premises (@p69 @p93)) % 0.31/0.55 (step @p95 :rule cong :premises (@p94 @p45 @p44) :args (@t39)) % 0.31/0.55 (step @p96 :rule symm :premises (@p175)) % 0.31/0.55 (step @p97 :rule trans :premises (@p96 @p81 @p95)) % 0.31/0.55 (step-pop @p183 :rule scope :premises (@p97)) % 0.31/0.55 (step-pop @p184 :rule scope :premises (@p183)) % 0.31/0.55 (step-pop @p185 :rule scope :premises (@p184)) % 0.31/0.55 (step-pop @p186 :rule scope :premises (@p185)) % 0.31/0.55 (step @p98 :rule process_scope :premises (@p186) :args (@t26)) % 0.31/0.55 (step @p103 :rule and_intro :premises (@p176 @p83 @p81 @p175)) % 0.31/0.55 (step @p104 :rule modus_ponens :premises (@p103 @p98)) % 0.31/0.55 (step-pop @p187 :rule scope :premises (@p104)) % 0.31/0.55 (step-pop @p188 :rule scope :premises (@p187)) % 0.31/0.55 (step-pop @p189 :rule scope :premises (@p188)) % 0.31/0.55 (step-pop @p190 :rule scope :premises (@p189)) % 0.31/0.55 (step @p105 :rule process_scope :premises (@p190) :args (@t26)) % 0.31/0.55 (step @p110 :rule implies_elim :premises (@p105)) % 0.31/0.55 (step @p111 :rule cnf_and_neg :args (@t42)) % 0.31/0.55 (step @p112 :rule resolution :premises (@p111 @p110) :args (true @t42)) % 0.31/0.55 (step @p113 :rule reordering :premises (@p112) :args ((or @t26 @t33 @t43 (not @t40) (not @t34)))) % 0.31/0.55 (step @p114 :rule chain_m_resolution :premises (@p113 @p83 @p81 @p64 @p66) :args (@t33 (@list false false true false) (@list @t34 @t40 @t26 @t25))) % 0.31/0.55 (step @p115 :rule equiv_elim2 :premises (@p51)) % 0.31/0.55 (step @p116 :rule chain_m_resolution :premises (@p115 @p114) :args (@t43 @t32 (@list @t24))) % 0.31/0.55 (step @p117 :rule not_or_elim :premises (@p39) :args (2)) % 0.31/0.55 (step @p118 :rule not_not_elim :premises (@p117)) % 0.31/0.55 (step @p119 :rule evaluate :args ((not false))) % 0.31/0.55 (step @p120 :rule skolem_intro :args (@t44)) % 0.31/0.55 (step @p121 :rule cong :premises (@p120) :args (@t45)) % 0.37/0.56 (step @p122 :rule bool-eq-false :args (@t44)) % 0.37/0.56 (step @p123 :rule eq-symm :args (false @t44)) % 0.37/0.56 (step @p124 :rule trans :premises (@p123 @p122)) % 0.37/0.56 (step @p125 :rule trans :premises (@p124 @p121 @p119)) % 0.37/0.56 (step @p126 :rule true_elim :premises (@p125)) % 0.37/0.56 (step @p127 :rule cong :premises (@p126 @p45 @p44) :args (@t46)) % 0.37/0.56 (step @p128 :rule cong :premises (@p44 @p127) :args (@t47)) % 0.37/0.56 (step @p129 :rule refl :args (@t48)) % 0.37/0.56 (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t48 @t47))) % 0.37/0.56 (assume-push @p191 @t48) % 0.37/0.56 (step @p132 :rule instantiate :premises (@p118) :args (@t38)) % 0.37/0.56 (step-pop @p192 :rule scope :premises (@p132)) % 0.37/0.56 (step @p133 :rule process_scope :premises (@p192) :args (@t47)) % 0.37/0.56 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 0.37/0.56 (step @p136 :rule implies_elim :premises (@p135)) % 0.37/0.56 (step @p137 :rule chain_m_resolution :premises (@p136 @p118) :args (@t50 @t41 (@list @t48))) % 0.37/0.56 (step @p138 :rule eq_resolve :premises (@p120 @p122)) % 0.37/0.56 (step @p139 :rule refl :args (@t26)) % 0.37/0.56 (step @p140 :rule bool-double-not-elim :args (@t44)) % 0.37/0.56 (step @p141 :rule refl :args (@t51)) % 0.37/0.56 (step @p142 :rule bool-double-not-elim :args (@t25)) % 0.37/0.56 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139) :args ((or (not @t43) @t51 (not @t45) @t26))) % 0.37/0.56 (assume-push @p193 @t43) % 0.37/0.56 (assume-push @p194 @t50) % 0.37/0.56 (assume-push @p195 @t45) % 0.37/0.56 (assume-push @p196 @t43) % 0.37/0.56 (assume-push @p197 @t45) % 0.37/0.56 (assume-push @p198 @t50) % 0.37/0.56 (step @p150 :rule false_intro :premises (@p193)) % 0.37/0.56 (step @p151 :rule symm :premises (@p150)) % 0.37/0.56 (step @p152 :rule trans :premises (@p120 @p151)) % 0.37/0.56 (step @p153 :rule cong :premises (@p152 @p45 @p44) :args (@t49)) % 0.37/0.56 (step @p154 :rule trans :premises (@p137 @p153)) % 0.37/0.56 (step-pop @p199 :rule scope :premises (@p154)) % 0.37/0.56 (step-pop @p200 :rule scope :premises (@p199)) % 0.37/0.56 (step-pop @p201 :rule scope :premises (@p200)) % 0.37/0.56 (step @p155 :rule process_scope :premises (@p201) :args (@t26)) % 0.37/0.56 (step @p159 :rule and_intro :premises (@p193 @p138 @p137)) % 0.37/0.56 (step @p160 :rule modus_ponens :premises (@p159 @p155)) % 0.37/0.56 (step-pop @p202 :rule scope :premises (@p160)) % 0.37/0.56 (step-pop @p203 :rule scope :premises (@p202)) % 0.37/0.56 (step-pop @p204 :rule scope :premises (@p203)) % 0.37/0.56 (step @p161 :rule process_scope :premises (@p204) :args (@t26)) % 0.37/0.56 (step @p165 :rule implies_elim :premises (@p161)) % 0.37/0.56 (step @p166 :rule cnf_and_neg :args (@t52)) % 0.37/0.56 (step @p167 :rule resolution :premises (@p166 @p165) :args (true @t52)) % 0.37/0.56 (step @p168 :rule eq_resolve :premises (@p167 @p143)) % 0.37/0.56 (step @p169 :rule reordering :premises (@p168) :args ((or @t25 @t26 @t44 @t51))) % 0.37/0.56 (step @p170 false :rule chain_m_resolution :premises (@p169 @p138 @p137 @p116 @p64) :args (false (@list true false true true) (@list @t44 @t50 @t25 @t26))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------