%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET628+3 : TPTP v9.2.1. Released v2.2.0. % 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 08:48:18 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET628+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 16:05:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.not_equal (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.empty_set $$unsorted) % 0.36/0.56 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "D" $$unsorted)) % 0.36/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.36/0.56 (define @t4 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.56 (define @t6 () (and @t5 @t3)) % 0.36/0.56 (define @t7 () (@list @t2)) % 0.36/0.56 (define @t8 () (exists @t7 @t6)) % 0.36/0.56 (define @t9 () (tptp.intersect @t4 @t1)) % 0.36/0.56 (define @t10 () (= @t9 @t8)) % 0.36/0.56 (define @t11 () (@list @t4 @t1)) % 0.36/0.56 (define @t12 () (forall @t11 @t10)) % 0.36/0.56 (define @t13 () (@list @t4)) % 0.36/0.56 (define @t14 () (forall @t13 (not (tptp.member @t4 tptp.empty_set)))) % 0.36/0.56 (define @t15 () (= @t4 @t1)) % 0.36/0.56 (define @t16 () (forall @t11 (= @t15 (forall @t7 (= @t5 @t3))))) % 0.36/0.56 (define @t17 () (forall @t11 (= (tptp.not_equal @t4 @t1) (not @t15)))) % 0.36/0.56 (define @t18 () (forall @t13 (= (tptp.intersect @t4 @t4) (tptp.not_equal @t4 tptp.empty_set)))) % 0.36/0.56 (define @t19 () (@quantifiers_skolemize @t18 0)) % 0.36/0.56 (define @t20 () (tptp.member @t2 @t19)) % 0.36/0.56 (define @t21 () (forall @t7 (= @t20 (tptp.member @t2 tptp.empty_set)))) % 0.36/0.56 (define @t22 () (= @t19 tptp.empty_set)) % 0.36/0.56 (define @t23 () (= @t22 @t21)) % 0.36/0.56 (define @t24 () (@list @t19 tptp.empty_set)) % 0.36/0.56 (define @t25 () (= tptp.empty_set @t19)) % 0.36/0.56 (define @t26 () (= @t25 @t21)) % 0.36/0.56 (define @t27 () (@list false)) % 0.36/0.56 (define @t28 () (not @t22)) % 0.36/0.56 (define @t29 () (tptp.not_equal @t19 tptp.empty_set)) % 0.36/0.56 (define @t30 () (= @t29 @t28)) % 0.36/0.56 (define @t31 () (not @t25)) % 0.36/0.56 (define @t32 () (= @t29 @t31)) % 0.36/0.56 (define @t33 () (forall @t7 (not @t6))) % 0.36/0.56 (define @t34 () (not @t33)) % 0.36/0.56 (define @t35 () (not @t20)) % 0.36/0.56 (define @t36 () (or @t35 @t35)) % 0.36/0.56 (define @t37 () (forall @t7 @t36)) % 0.36/0.56 (define @t38 () (not @t37)) % 0.36/0.56 (define @t39 () (tptp.intersect @t19 @t19)) % 0.36/0.56 (define @t40 () (= @t39 @t38)) % 0.36/0.56 (define @t41 () (forall @t11 (= @t9 (not (forall @t7 (or (not @t5) (not @t3))))))) % 0.36/0.56 (define @t42 () (forall @t7 @t35)) % 0.36/0.56 (define @t43 () (not @t42)) % 0.36/0.56 (define @t44 () (= @t39 @t43)) % 0.36/0.56 (define @t45 () (not @t44)) % 0.36/0.56 (define @t46 () (not @t43)) % 0.36/0.56 (define @t47 () (@quantifiers_skolemize @t42 0)) % 0.36/0.56 (define @t48 () (tptp.member @t47 @t19)) % 0.36/0.56 (define @t49 () (not @t48)) % 0.36/0.56 (define @t50 () (not @t49)) % 0.36/0.56 (define @t51 () (= @t39 @t29)) % 0.36/0.56 (define @t52 () (not @t32)) % 0.36/0.56 (define @t53 () (tptp.member @t47 tptp.empty_set)) % 0.36/0.56 (define @t54 () (not @t53)) % 0.36/0.56 (define @t55 () (and @t54 @t25 @t48)) % 0.36/0.56 (define @t56 () (not @t39)) % 0.36/0.56 (define @t57 () (@list false false)) % 0.36/0.56 (define @t58 () (@list true true)) % 0.36/0.56 (define @t59 () (not @t21)) % 0.36/0.56 (define @t60 () (@quantifiers_skolemize @t21 0)) % 0.36/0.56 (define @t61 () (tptp.member @t60 tptp.empty_set)) % 0.36/0.56 (define @t62 () (tptp.member @t60 @t19)) % 0.36/0.56 (define @t63 () (= @t62 @t61)) % 0.36/0.56 (define @t64 () (not @t63)) % 0.36/0.56 (define @t65 () (@list @t60)) % 0.36/0.56 (define @t66 () (not @t62)) % 0.36/0.56 (assume @p1 @t12) % 0.36/0.56 (assume @p2 @t14) % 0.36/0.56 (assume @p3 @t16) % 0.36/0.56 (assume @p4 @t17) % 0.36/0.56 (assume @p5 (forall @t11 (=> @t9 (tptp.intersect @t1 @t4)))) % 0.36/0.56 (assume @p6 (forall @t13 (= (tptp.empty @t4) (forall (@list @t1) (not (tptp.member @t1 @t4)))))) % 0.36/0.56 (assume @p7 (not @t18)) % 0.36/0.56 (assume @p8 true) % 0.36/0.56 (step @p9 :rule refl :args (@t21)) % 0.36/0.56 (step @p10 :rule eq-symm :args (@t19 tptp.empty_set)) % 0.36/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t23)) % 0.36/0.56 (step @p12 :rule refl :args (@t16)) % 0.36/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t16 @t23))) % 0.36/0.56 (assume-push @p153 @t16) % 0.36/0.56 (step @p15 :rule instantiate :premises (@p3) :args (@t24)) % 0.36/0.56 (step-pop @p154 :rule scope :premises (@p15)) % 0.36/0.56 (step @p16 :rule process_scope :premises (@p154) :args (@t23)) % 0.36/0.56 (step @p18 :rule eq_resolve :premises (@p16 @p13)) % 0.36/0.56 (step @p19 :rule implies_elim :premises (@p18)) % 0.36/0.56 (step @p20 :rule chain_m_resolution :premises (@p19 @p3) :args (@t26 @t27 (@list @t16))) % 0.36/0.56 (step @p21 :rule cong :premises (@p10) :args (@t28)) % 0.36/0.56 (step @p22 :rule refl :args (@t29)) % 0.36/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args (@t30)) % 0.36/0.56 (step @p24 :rule refl :args (@t17)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t17 @t30))) % 0.36/0.56 (assume-push @p155 @t17) % 0.36/0.56 (step @p27 :rule instantiate :premises (@p4) :args (@t24)) % 0.36/0.56 (step-pop @p156 :rule scope :premises (@p27)) % 0.36/0.56 (step @p28 :rule process_scope :premises (@p156) :args (@t30)) % 0.36/0.56 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.36/0.56 (step @p31 :rule implies_elim :premises (@p30)) % 0.36/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p4) :args (@t32 @t27 (@list @t17))) % 0.36/0.56 (step @p33 :rule skolemize :premises (@p7)) % 0.36/0.56 (step @p34 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.36/0.56 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 0.36/0.56 (step @p36 :rule cong :premises (@p35) :args (@t34)) % 0.36/0.56 (step @p37 :rule exists-elim :args ((= @t8 @t34))) % 0.36/0.56 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.56 (step @p39 :rule refl :args (@t9)) % 0.36/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args (@t10)) % 0.36/0.56 (step @p41 :rule cong :premises (@p40) :args (@t12)) % 0.36/0.56 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.36/0.56 (step @p43 :rule aci_norm :args ((= @t36 @t35))) % 0.36/0.56 (step @p44 :rule cong :premises (@p43) :args (@t37)) % 0.36/0.56 (step @p45 :rule cong :premises (@p44) :args (@t38)) % 0.36/0.56 (step @p46 :rule refl :args (@t39)) % 0.36/0.56 (step @p47 :rule cong :premises (@p46 @p45) :args (@t40)) % 0.36/0.56 (step @p48 :rule refl :args (@t41)) % 0.36/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t41 @t40))) % 0.36/0.56 (assume-push @p157 @t41) % 0.36/0.56 (step @p51 :rule instantiate :premises (@p42) :args ((@list @t19 @t19))) % 0.36/0.56 (step-pop @p158 :rule scope :premises (@p51)) % 0.36/0.56 (step @p52 :rule process_scope :premises (@p158) :args (@t40)) % 0.36/0.56 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.36/0.56 (step @p55 :rule implies_elim :premises (@p54)) % 0.36/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p42) :args (@t44 @t27 (@list @t41))) % 0.36/0.56 (step @p57 :rule bool-double-not-elim :args (@t42)) % 0.36/0.56 (step @p58 :rule refl :args (@t45)) % 0.36/0.56 (step @p59 :rule nary_cong :premises (@p58 @p46 @p57) :args ((or @t45 @t39 @t46))) % 0.36/0.56 (step @p60 :rule cnf_equiv_pos2 :args (@t44)) % 0.36/0.56 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.36/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t39 @t42 @t45))) % 0.36/0.56 (step @p63 :rule refl :args (@t48)) % 0.36/0.56 (step @p64 :rule nary_cong :premises (@p57 @p63) :args ((or @t46 @t48))) % 0.36/0.56 (step @p65 :rule bool-double-not-elim :args (@t48)) % 0.36/0.56 (step @p66 :rule refl :args (@t43)) % 0.36/0.56 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t43 @t50))) % 0.36/0.56 (assume-push @p159 @t43) % 0.36/0.56 (step @p69 :rule skolemize :premises (@p159)) % 0.36/0.56 (step-pop @p160 :rule scope :premises (@p69)) % 0.36/0.56 (step @p70 :rule process_scope :premises (@p160) :args (@t50)) % 0.36/0.56 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.36/0.56 (step @p73 :rule implies_elim :premises (@p72)) % 0.36/0.56 (step @p74 :rule eq_resolve :premises (@p73 @p64)) % 0.36/0.56 (step @p75 :rule cnf_equiv_neg2 :args (@t51)) % 0.36/0.56 (step @p76 :rule bool-double-not-elim :args (@t25)) % 0.36/0.56 (step @p77 :rule refl :args (@t52)) % 0.36/0.56 (step @p78 :rule nary_cong :premises (@p77 @p22 @p76) :args ((or @t52 @t29 (not @t31)))) % 0.36/0.56 (step @p79 :rule cnf_equiv_pos2 :args (@t32)) % 0.36/0.56 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.36/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t29 @t25 @t52))) % 0.36/0.56 (step @p82 :rule instantiate :premises (@p2) :args ((@list @t47))) % 0.36/0.56 (step @p83 :rule bool-double-not-elim :args (@t53)) % 0.36/0.56 (step @p84 :rule refl :args (@t49)) % 0.36/0.56 (step @p85 :rule refl :args (@t31)) % 0.36/0.56 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args ((or @t31 @t49 (not @t54)))) % 0.36/0.56 (assume-push @p161 @t54) % 0.36/0.56 (assume-push @p162 @t25) % 0.36/0.56 (assume-push @p163 @t48) % 0.36/0.56 (step @p90 :rule evaluate :args ((= true false))) % 0.36/0.56 (step @p91 :rule false_intro :premises (@p82)) % 0.36/0.56 (step @p92 :rule symm :premises (@p162)) % 0.36/0.56 (step @p93 :rule refl :args (@t47)) % 0.36/0.56 (step @p94 :rule cong :premises (@p93 @p92) :args (@t48)) % 0.36/0.56 (step @p95 :rule true_intro :premises (@p163)) % 0.36/0.56 (step @p96 :rule symm :premises (@p95)) % 0.36/0.56 (step @p97 :rule trans :premises (@p96 @p94 @p91)) % 0.36/0.56 (step @p98 false :rule eq_resolve :premises (@p97 @p90)) % 0.36/0.56 (step-pop @p164 :rule scope :premises (@p98)) % 0.36/0.56 (step-pop @p165 :rule scope :premises (@p164)) % 0.36/0.56 (step-pop @p166 :rule scope :premises (@p165)) % 0.36/0.56 (step @p99 :rule process_scope :premises (@p166) :args (false)) % 0.36/0.56 (assume-push @p167 @t25) % 0.36/0.56 (assume-push @p168 @t48) % 0.36/0.56 (assume-push @p169 @t54) % 0.36/0.56 (step @p106 :rule and_intro :premises (@p82 @p167 @p168)) % 0.36/0.57 (step-pop @p170 :rule scope :premises (@p106)) % 0.36/0.57 (step-pop @p171 :rule scope :premises (@p170)) % 0.36/0.57 (step-pop @p172 :rule scope :premises (@p171)) % 0.36/0.57 (step @p107 :rule process_scope :premises (@p172) :args (@t55)) % 0.36/0.57 (step @p111 :rule implies_elim :premises (@p107)) % 0.36/0.57 (step @p112 :rule resolution :premises (@p111 @p99) :args (true @t55)) % 0.36/0.57 (step @p113 :rule not_and :premises (@p112)) % 0.36/0.57 (step @p114 :rule eq_resolve :premises (@p113 @p86)) % 0.36/0.57 (step @p115 :rule chain_m_resolution :premises (@p114 @p82 @p81 @p32 @p75 @p33 @p74 @p62 @p56) :args (@t42 (@list true false false true true false false false) (@list @t53 @t25 @t32 @t29 @t51 @t48 @t39 @t44))) % 0.36/0.57 (step @p116 :rule cnf_equiv_pos1 :args (@t44)) % 0.36/0.57 (step @p117 :rule reordering :premises (@p116) :args ((or @t56 @t43 @t45))) % 0.36/0.57 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p56) :args (@t56 @t57 (@list @t42 @t44))) % 0.36/0.57 (step @p119 :rule cnf_equiv_neg1 :args (@t51)) % 0.36/0.57 (step @p120 :rule reordering :premises (@p119) :args ((or @t39 @t29 @t51))) % 0.36/0.57 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p33) :args (@t29 @t58 (@list @t39 @t51))) % 0.36/0.57 (step @p122 :rule cnf_equiv_pos1 :args (@t32)) % 0.36/0.57 (step @p123 :rule reordering :premises (@p122) :args ((or (not @t29) @t31 @t52))) % 0.36/0.57 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p32) :args (@t31 @t57 (@list @t29 @t32))) % 0.36/0.57 (step @p125 :rule cnf_equiv_pos2 :args (@t26)) % 0.36/0.57 (step @p126 :rule reordering :premises (@p125) :args ((or @t25 @t59 (not @t26)))) % 0.36/0.57 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p20) :args (@t59 (@list true false) (@list @t25 @t26))) % 0.36/0.57 (step @p128 :rule refl :args (@t64)) % 0.36/0.57 (step @p129 :rule bool-double-not-elim :args (@t21)) % 0.36/0.57 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t59) @t64))) % 0.36/0.57 (assume-push @p173 @t59) % 0.36/0.57 (step @p132 :rule skolemize :premises (@p173)) % 0.36/0.57 (step-pop @p174 :rule scope :premises (@p132)) % 0.36/0.57 (step @p133 :rule process_scope :premises (@p174) :args (@t64)) % 0.36/0.57 (step @p135 :rule implies_elim :premises (@p133)) % 0.36/0.57 (step @p136 :rule eq_resolve :premises (@p135 @p130)) % 0.36/0.57 (step @p137 :rule chain_m_resolution :premises (@p136 @p127) :args (@t64 (@list true) (@list @t21))) % 0.36/0.57 (assume-push @p175 @t42) % 0.36/0.57 (step @p139 :rule instantiate :premises (@p175) :args (@t65)) % 0.36/0.57 (step-pop @p176 :rule scope :premises (@p139)) % 0.36/0.57 (step @p140 :rule process_scope :premises (@p176) :args (@t66)) % 0.36/0.57 (step @p142 :rule implies_elim :premises (@p140)) % 0.36/0.57 (step @p143 :rule chain_m_resolution :premises (@p142 @p115) :args (@t66 @t27 (@list @t42))) % 0.36/0.57 (step @p144 :rule cnf_equiv_neg1 :args (@t63)) % 0.36/0.57 (step @p145 :rule reordering :premises (@p144) :args ((or @t62 @t61 @t63))) % 0.36/0.57 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p137) :args (@t61 @t58 (@list @t62 @t63))) % 0.36/0.57 (assume-push @p177 @t14) % 0.36/0.57 (step @p148 :rule instantiate :premises (@p2) :args (@t65)) % 0.36/0.57 (step-pop @p178 :rule scope :premises (@p148)) % 0.36/0.57 (step @p149 :rule process_scope :premises (@p178) :args ((not @t61))) % 0.36/0.57 (step @p151 :rule implies_elim :premises (@p149)) % 0.36/0.57 (step @p152 false :rule chain_m_resolution :premises (@p151 @p146 @p2) :args (false @t57 (@list @t61 @t14))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------