%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU144+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:50:42 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU144+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:31:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.61 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.61 (define @t4 () (@list @t1 @t2)) % 0.36/0.61 (define @t5 () (@var "C" $$unsorted)) % 0.36/0.61 (define @t6 () (tptp.in @t5 @t2)) % 0.36/0.61 (define @t7 () (= @t6 (= @t5 @t1))) % 0.36/0.61 (define @t8 () (@list @t5)) % 0.36/0.61 (define @t9 () (forall @t8 @t7)) % 0.36/0.61 (define @t10 () (tptp.singleton @t1)) % 0.36/0.61 (define @t11 () (= @t2 @t10)) % 0.36/0.61 (define @t12 () (= @t11 @t9)) % 0.36/0.61 (define @t13 () (forall @t4 @t12)) % 0.36/0.61 (define @t14 () (tptp.in @t5 @t1)) % 0.36/0.61 (define @t15 () (forall @t8 (=> @t14 @t6))) % 0.36/0.61 (define @t16 () (tptp.subset @t1 @t2)) % 0.36/0.61 (define @t17 () (= @t16 @t15)) % 0.36/0.61 (define @t18 () (forall @t4 @t17)) % 0.36/0.61 (define @t19 () (tptp.subset @t10 @t2)) % 0.36/0.61 (define @t20 () (forall @t4 (= @t19 @t3))) % 0.36/0.61 (define @t21 () (not @t20)) % 0.36/0.61 (define @t22 () (forall @t4 (= @t3 @t19))) % 0.36/0.61 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.36/0.61 (define @t24 () (@quantifiers_skolemize @t22 0)) % 0.36/0.61 (define @t25 () (tptp.singleton @t24)) % 0.36/0.61 (define @t26 () (tptp.subset @t25 @t23)) % 0.36/0.61 (define @t27 () (tptp.in @t24 @t23)) % 0.36/0.61 (define @t28 () (= @t27 @t26)) % 0.36/0.61 (define @t29 () (tptp.in @t5 @t25)) % 0.36/0.61 (define @t30 () (forall @t8 (or (not @t29) (tptp.in @t5 @t23)))) % 0.36/0.61 (define @t31 () (= @t26 @t30)) % 0.36/0.61 (define @t32 () (not @t31)) % 0.36/0.61 (define @t33 () (not @t30)) % 0.36/0.61 (define @t34 () (@quantifiers_skolemize @t30 0)) % 0.36/0.61 (define @t35 () (tptp.in @t34 @t23)) % 0.36/0.61 (define @t36 () (tptp.in @t34 @t25)) % 0.36/0.61 (define @t37 () (not @t36)) % 0.36/0.61 (define @t38 () (or @t37 @t35)) % 0.36/0.61 (define @t39 () (not @t38)) % 0.36/0.61 (define @t40 () (forall @t8 (= @t29 (= @t5 @t24)))) % 0.36/0.61 (define @t41 () (= @t29 (= @t24 @t5))) % 0.36/0.61 (define @t42 () (forall @t8 @t41)) % 0.36/0.61 (define @t43 () (= (= @t25 @t25) @t42)) % 0.36/0.61 (define @t44 () (forall @t4 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 0.36/0.61 (define @t45 () (@list false)) % 0.36/0.61 (define @t46 () (= @t36 (= @t34 @t24))) % 0.36/0.61 (define @t47 () (= @t24 @t34)) % 0.36/0.61 (define @t48 () (= @t36 @t47)) % 0.36/0.61 (define @t49 () (@list @t40)) % 0.36/0.61 (define @t50 () (not @t47)) % 0.36/0.61 (define @t51 () (not @t27)) % 0.36/0.61 (define @t52 () (not @t35)) % 0.36/0.61 (define @t53 () (and @t27 @t47 @t52)) % 0.36/0.61 (define @t54 () (tptp.in @t24 @t25)) % 0.36/0.61 (define @t55 () (= @t54 (= @t24 @t24))) % 0.36/0.61 (define @t56 () (@list @t24)) % 0.36/0.61 (define @t57 () (not @t54)) % 0.36/0.61 (define @t58 () (or @t57 @t27)) % 0.36/0.61 (define @t59 () (not @t58)) % 0.36/0.61 (define @t60 () (@list true false)) % 0.36/0.61 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.61 (assume @p2 @t13) % 0.36/0.61 (assume @p3 @t18) % 0.36/0.61 (assume @p4 true) % 0.36/0.61 (assume @p5 @t21) % 0.36/0.61 (assume @p6 (forall @t4 (tptp.subset @t1 @t1))) % 0.36/0.61 (step @p7 :rule bool-impl-elim :args (@t14 @t6)) % 0.36/0.61 (step @p8 :rule cong :premises (@p7) :args (@t15)) % 0.36/0.61 (step @p9 :rule refl :args (@t16)) % 0.36/0.61 (step @p10 :rule cong :premises (@p9 @p8) :args (@t17)) % 0.36/0.61 (step @p11 :rule cong :premises (@p10) :args (@t18)) % 0.36/0.61 (step @p12 :rule eq_resolve :premises (@p3 @p11)) % 0.36/0.61 (step @p13 :rule instantiate :premises (@p12) :args ((@list @t25 @t23))) % 0.36/0.61 (step @p14 :rule eq-symm :args (@t19 @t3)) % 0.36/0.61 (step @p15 :rule cong :premises (@p14) :args (@t20)) % 0.36/0.61 (step @p16 :rule cong :premises (@p15) :args (@t21)) % 0.36/0.61 (step @p17 :rule eq_resolve :premises (@p5 @p16)) % 0.36/0.61 (step @p18 :rule skolemize :premises (@p17)) % 0.36/0.61 (step @p19 :rule cnf_equiv_neg2 :args (@t28)) % 0.36/0.61 (step @p20 :rule cnf_equiv_pos2 :args (@t31)) % 0.36/0.61 (step @p21 :rule reordering :premises (@p20) :args ((or @t26 @t33 @t32))) % 0.36/0.61 (step @p22 :rule refl :args (@t39)) % 0.36/0.61 (step @p23 :rule bool-double-not-elim :args (@t30)) % 0.36/0.61 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t33) @t39))) % 0.36/0.61 (assume-push @p141 @t33) % 0.36/0.61 (step @p26 :rule skolemize :premises (@p141)) % 0.36/0.61 (step-pop @p142 :rule scope :premises (@p26)) % 0.36/0.61 (step @p27 :rule process_scope :premises (@p142) :args (@t39)) % 0.36/0.61 (step @p29 :rule implies_elim :premises (@p27)) % 0.36/0.61 (step @p30 :rule eq_resolve :premises (@p29 @p24)) % 0.36/0.61 (step @p31 :rule bool-double-not-elim :args (@t36)) % 0.36/0.61 (step @p32 :rule refl :args (@t38)) % 0.36/0.61 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t38 (not @t37)))) % 0.36/0.61 (step @p34 :rule cnf_or_neg :args (@t38 0)) % 0.36/0.61 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.36/0.61 (step @p36 :rule reordering :premises (@p35) :args ((or @t36 @t38))) % 0.36/0.61 (step @p37 :rule cnf_or_neg :args (@t38 1)) % 0.36/0.61 (step @p38 :rule eq-symm :args (@t5 @t1)) % 0.36/0.61 (step @p39 :rule refl :args (@t6)) % 0.36/0.61 (step @p40 :rule cong :premises (@p39 @p38) :args (@t7)) % 0.36/0.61 (step @p41 :rule cong :premises (@p40) :args (@t9)) % 0.36/0.61 (step @p42 :rule refl :args (@t11)) % 0.36/0.61 (step @p43 :rule cong :premises (@p42 @p41) :args (@t12)) % 0.36/0.61 (step @p44 :rule cong :premises (@p43) :args (@t13)) % 0.36/0.61 (step @p45 :rule eq_resolve :premises (@p2 @p44)) % 0.36/0.61 (step @p46 :rule bool-eq-true :args (@t40)) % 0.36/0.61 (step @p47 :rule eq-symm :args (true @t40)) % 0.36/0.61 (step @p48 :rule trans :premises (@p47 @p46)) % 0.36/0.61 (step @p49 :rule eq-symm :args (@t24 @t5)) % 0.36/0.61 (step @p50 :rule refl :args (@t29)) % 0.36/0.61 (step @p51 :rule cong :premises (@p50 @p49) :args (@t41)) % 0.36/0.61 (step @p52 :rule cong :premises (@p51) :args (@t42)) % 0.36/0.61 (step @p53 :rule eq-refl :args (@t25)) % 0.36/0.61 (step @p54 :rule cong :premises (@p53 @p52) :args (@t43)) % 0.36/0.61 (step @p55 :rule trans :premises (@p54 @p48)) % 0.36/0.61 (step @p56 :rule refl :args (@t44)) % 0.36/0.61 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t44 @t43))) % 0.36/0.61 (assume-push @p143 @t44) % 0.36/0.61 (step @p59 :rule instantiate :premises (@p45) :args ((@list @t24 @t25))) % 0.36/0.61 (step-pop @p144 :rule scope :premises (@p59)) % 0.36/0.61 (step @p60 :rule process_scope :premises (@p144) :args (@t43)) % 0.36/0.61 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.36/0.61 (step @p63 :rule implies_elim :premises (@p62)) % 0.36/0.61 (step @p64 :rule chain_m_resolution :premises (@p63 @p45) :args (@t40 @t45 (@list @t44))) % 0.36/0.61 (step @p65 :rule eq-symm :args (@t34 @t24)) % 0.36/0.61 (step @p66 :rule refl :args (@t36)) % 0.36/0.61 (step @p67 :rule cong :premises (@p66 @p65) :args (@t46)) % 0.36/0.61 (step @p68 :rule refl :args (@t40)) % 0.36/0.61 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t40 @t46))) % 0.36/0.61 (assume-push @p145 @t40) % 0.36/0.61 (step @p71 :rule instantiate :premises (@p64) :args ((@list @t34))) % 0.36/0.61 (step-pop @p146 :rule scope :premises (@p71)) % 0.36/0.61 (step @p72 :rule process_scope :premises (@p146) :args (@t46)) % 0.36/0.61 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.36/0.61 (step @p75 :rule implies_elim :premises (@p74)) % 0.36/0.61 (step @p76 :rule chain_m_resolution :premises (@p75 @p64) :args (@t48 @t45 @t49)) % 0.36/0.61 (step @p77 :rule cnf_equiv_pos1 :args (@t48)) % 0.36/0.61 (step @p78 :rule reordering :premises (@p77) :args ((or @t37 @t47 (not @t48)))) % 0.36/0.61 (step @p79 :rule refl :args (@t50)) % 0.36/0.61 (step @p80 :rule bool-double-not-elim :args (@t35)) % 0.36/0.61 (step @p81 :rule refl :args (@t51)) % 0.36/0.61 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args ((or @t51 (not @t52) @t50))) % 0.36/0.61 (assume-push @p147 @t27) % 0.36/0.61 (assume-push @p148 @t47) % 0.36/0.61 (assume-push @p149 @t52) % 0.36/0.61 (step @p86 :rule evaluate :args ((= false true))) % 0.36/0.61 (step @p87 :rule true_intro :premises (@p147)) % 0.36/0.61 (step @p88 :rule refl :args (@t23)) % 0.36/0.61 (step @p89 :rule symm :premises (@p148)) % 0.36/0.61 (step @p90 :rule cong :premises (@p89 @p88) :args (@t35)) % 0.36/0.61 (step @p91 :rule false_intro :premises (@p149)) % 0.36/0.61 (step @p92 :rule symm :premises (@p91)) % 0.36/0.61 (step @p93 :rule trans :premises (@p92 @p90 @p87)) % 0.36/0.61 (step @p94 false :rule eq_resolve :premises (@p93 @p86)) % 0.36/0.61 (step-pop @p150 :rule scope :premises (@p94)) % 0.36/0.61 (step-pop @p151 :rule scope :premises (@p150)) % 0.36/0.61 (step-pop @p152 :rule scope :premises (@p151)) % 0.36/0.61 (step @p95 :rule process_scope :premises (@p152) :args (false)) % 0.36/0.61 (assume-push @p153 @t27) % 0.36/0.61 (assume-push @p154 @t52) % 0.36/0.61 (assume-push @p155 @t47) % 0.36/0.61 (step @p102 :rule and_intro :premises (@p153 @p155 @p154)) % 0.36/0.61 (step-pop @p156 :rule scope :premises (@p102)) % 0.36/0.61 (step-pop @p157 :rule scope :premises (@p156)) % 0.36/0.61 (step-pop @p158 :rule scope :premises (@p157)) % 0.36/0.61 (step @p103 :rule process_scope :premises (@p158) :args (@t53)) % 0.36/0.61 (step @p107 :rule implies_elim :premises (@p103)) % 0.36/0.61 (step @p108 :rule resolution :premises (@p107 @p95) :args (true @t53)) % 0.36/0.61 (step @p109 :rule not_and :premises (@p108)) % 0.36/0.61 (step @p110 :rule eq_resolve :premises (@p109 @p82)) % 0.36/0.61 (step @p111 :rule chain_m_resolution :premises (@p110 @p78 @p76 @p37 @p36 @p30 @p21 @p13 @p19 @p18) :args (@t51 (@list false false true false true true false true true) (@list @t47 @t48 @t35 @t36 @t38 @t30 @t31 @t26 @t28))) % 0.36/0.61 (step @p112 :rule cnf_equiv_neg1 :args (@t28)) % 0.36/0.61 (step @p113 :rule reordering :premises (@p112) :args ((or @t27 @t26 @t28))) % 0.36/0.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p18) :args (@t26 (@list true true) (@list @t27 @t28))) % 0.36/0.61 (step @p115 :rule cnf_equiv_pos1 :args (@t31)) % 0.36/0.61 (step @p116 :rule reordering :premises (@p115) :args ((or (not @t26) @t30 @t32))) % 0.36/0.61 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p13) :args (@t30 (@list false false) (@list @t26 @t31))) % 0.36/0.61 (step @p118 :rule bool-eq-true :args (@t54)) % 0.36/0.61 (step @p119 :rule eq-refl :args (@t24)) % 0.36/0.61 (step @p120 :rule refl :args (@t54)) % 0.36/0.61 (step @p121 :rule cong :premises (@p120 @p119) :args (@t55)) % 0.36/0.61 (step @p122 :rule trans :premises (@p121 @p118)) % 0.36/0.61 (step @p123 :rule cong :premises (@p68 @p122) :args ((=> @t40 @t55))) % 0.36/0.61 (assume-push @p159 @t40) % 0.36/0.61 (step @p125 :rule instantiate :premises (@p64) :args (@t56)) % 0.36/0.61 (step-pop @p160 :rule scope :premises (@p125)) % 0.36/0.61 (step @p126 :rule process_scope :premises (@p160) :args (@t55)) % 0.36/0.61 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 0.36/0.61 (step @p129 :rule implies_elim :premises (@p128)) % 0.36/0.61 (step @p130 :rule reordering :premises (@p129) :args ((or @t54 (not @t40)))) % 0.36/0.61 (step @p131 :rule chain_m_resolution :premises (@p130 @p64) :args (@t54 @t45 @t49)) % 0.36/0.61 (step @p132 :rule cnf_or_pos :args (@t58)) % 0.36/0.61 (step @p133 :rule reordering :premises (@p132) :args ((or @t27 @t57 @t59))) % 0.36/0.61 (step @p134 :rule chain_m_resolution :premises (@p133 @p111 @p131) :args (@t59 @t60 (@list @t27 @t54))) % 0.36/0.61 (assume-push @p161 @t30) % 0.36/0.61 (step @p136 :rule instantiate :premises (@p161) :args (@t56)) % 0.36/0.61 (step-pop @p162 :rule scope :premises (@p136)) % 0.36/0.61 (step @p137 :rule process_scope :premises (@p162) :args (@t58)) % 0.36/0.61 (step @p139 :rule implies_elim :premises (@p137)) % 0.36/0.61 (step @p140 false :rule chain_m_resolution :premises (@p139 @p134 @p117) :args (false @t60 (@list @t58 @t30))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------