%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU164+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 : n024.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 08:50:48 AM UTC 2026 % Result : Theorem 28.23s 28.43s % Output : Proof 28.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU164+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:33:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 28.23/28.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.23/28.43 --- Run --no-e-matching --full-saturate-quant at 6... % 28.23/28.43 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.23/28.43 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.23/28.43 % SZS status Theorem % 28.23/28.43 % SZS output start Proof % 28.23/28.43 ( % 28.23/28.43 (declare-sort $$unsorted 0) % 28.23/28.43 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 28.23/28.43 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 28.23/28.43 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 28.23/28.43 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 28.23/28.43 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 28.23/28.43 (define @t1 () (@var "A" $$unsorted)) % 28.23/28.43 (define @t2 () (@var "B" $$unsorted)) % 28.23/28.43 (define @t3 () (tptp.in @t1 @t2)) % 28.23/28.43 (define @t4 () (@list @t1 @t2)) % 28.23/28.43 (define @t5 () (@var "C" $$unsorted)) % 28.23/28.43 (define @t6 () (tptp.in @t5 @t2)) % 28.23/28.43 (define @t7 () (@list @t5)) % 28.23/28.43 (define @t8 () (tptp.singleton @t1)) % 28.23/28.43 (define @t9 () (tptp.powerset @t1)) % 28.23/28.43 (define @t10 () (forall @t4 (= (= @t2 @t9) (forall @t7 (= @t6 (tptp.subset @t5 @t1)))))) % 28.23/28.43 (define @t11 () (tptp.in @t5 @t1)) % 28.23/28.43 (define @t12 () (forall @t7 (=> @t11 @t6))) % 28.23/28.43 (define @t13 () (tptp.subset @t1 @t2)) % 28.23/28.43 (define @t14 () (= @t13 @t12)) % 28.23/28.43 (define @t15 () (forall @t4 @t14)) % 28.23/28.43 (define @t16 () (@var "D" $$unsorted)) % 28.23/28.43 (define @t17 () (tptp.in @t16 @t1)) % 28.23/28.43 (define @t18 () (tptp.in @t5 @t16)) % 28.23/28.43 (define @t19 () (and @t18 @t17)) % 28.23/28.43 (define @t20 () (@list @t16)) % 28.23/28.43 (define @t21 () (exists @t20 @t19)) % 28.23/28.43 (define @t22 () (= @t6 @t21)) % 28.23/28.43 (define @t23 () (forall @t7 @t22)) % 28.23/28.43 (define @t24 () (= @t2 (tptp.union @t1))) % 28.23/28.43 (define @t25 () (= @t24 @t23)) % 28.23/28.43 (define @t26 () (forall @t4 @t25)) % 28.23/28.43 (define @t27 () (tptp.union @t9)) % 28.23/28.43 (define @t28 () (@list @t1)) % 28.23/28.43 (define @t29 () (forall @t28 (= @t27 @t1))) % 28.23/28.43 (define @t30 () (not @t29)) % 28.23/28.43 (define @t31 () (@quantifiers_skolemize (forall @t28 (= @t1 @t27)) 0)) % 28.23/28.43 (define @t32 () (tptp.powerset @t31)) % 28.23/28.43 (define @t33 () (not (tptp.in @t16 @t32))) % 28.23/28.43 (define @t34 () (tptp.in @t5 @t31)) % 28.23/28.43 (define @t35 () (forall @t7 (= @t34 (not (forall @t20 (or (not @t18) @t33)))))) % 28.23/28.43 (define @t36 () (@quantifiers_skolemize @t35 0)) % 28.23/28.43 (define @t37 () (forall @t20 (or (not (tptp.in @t36 @t16)) @t33))) % 28.23/28.43 (define @t38 () (@quantifiers_skolemize @t37 0)) % 28.23/28.43 (define @t39 () (tptp.in @t5 @t32)) % 28.23/28.43 (define @t40 () (tptp.subset @t5 @t31)) % 28.23/28.43 (define @t41 () (forall @t7 (= @t40 @t39))) % 28.23/28.43 (define @t42 () (forall @t7 (= @t39 @t40))) % 28.23/28.43 (define @t43 () (= (= @t32 @t32) @t42)) % 28.23/28.43 (define @t44 () (@list false)) % 28.23/28.43 (define @t45 () (tptp.subset @t38 @t31)) % 28.23/28.43 (define @t46 () (tptp.in @t38 @t32)) % 28.23/28.43 (define @t47 () (= @t45 @t46)) % 28.23/28.43 (define @t48 () (= @t46 @t45)) % 28.23/28.43 (define @t49 () (forall @t20 (not @t19))) % 28.23/28.43 (define @t50 () (not @t49)) % 28.23/28.43 (define @t51 () (= @t31 (tptp.union @t32))) % 28.23/28.43 (define @t52 () (= @t51 @t35)) % 28.23/28.43 (define @t53 () (not @t35)) % 28.23/28.43 (define @t54 () (@list true false)) % 28.23/28.43 (define @t55 () (@list @t31)) % 28.23/28.43 (define @t56 () (tptp.subset @t31 @t31)) % 28.23/28.43 (define @t57 () (forall @t7 (or (not @t34) @t34))) % 28.23/28.43 (define @t58 () (= @t56 @t57)) % 28.23/28.43 (define @t59 () (forall @t4 (= @t13 (forall @t7 (or (not @t11) @t6))))) % 28.23/28.43 (define @t60 () (tptp.in @t31 @t32)) % 28.23/28.43 (define @t61 () (= @t56 @t60)) % 28.23/28.43 (define @t62 () (@list false false)) % 28.23/28.43 (define @t63 () (tptp.in @t36 @t31)) % 28.23/28.43 (define @t64 () (not @t63)) % 28.23/28.43 (define @t65 () (not @t37)) % 28.23/28.43 (define @t66 () (= @t63 @t65)) % 28.23/28.43 (define @t67 () (not @t65)) % 28.23/28.43 (define @t68 () (not @t60)) % 28.23/28.43 (define @t69 () (or @t64 @t68)) % 28.23/28.43 (define @t70 () (not @t46)) % 28.23/28.43 (define @t71 () (tptp.in @t36 @t38)) % 28.23/28.43 (define @t72 () (not @t71)) % 28.23/28.43 (define @t73 () (or @t72 @t70)) % 28.23/28.43 (define @t74 () (not @t73)) % 28.23/28.43 (define @t75 () (@list true)) % 28.23/28.43 (define @t76 () (@list @t73)) % 28.23/28.43 (define @t77 () (forall @t7 (or (not (tptp.in @t5 @t38)) @t34))) % 28.23/28.43 (define @t78 () (= @t45 @t77)) % 28.23/28.43 (define @t79 () (or @t72 @t63)) % 28.23/28.43 (define @t80 () (not @t79)) % 28.23/28.43 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 28.23/28.43 (assume @p2 (forall @t4 (= (= @t2 @t8) (forall @t7 (= @t6 (= @t5 @t1)))))) % 28.23/28.43 (assume @p3 @t10) % 28.23/28.43 (assume @p4 @t15) % 28.23/28.43 (assume @p5 @t26) % 28.23/28.43 (assume @p6 true) % 28.23/28.43 (assume @p7 (forall @t4 (= (tptp.subset @t8 @t2) @t3))) % 28.23/28.43 (assume @p8 (forall @t4 (tptp.subset @t1 @t1))) % 28.23/28.43 (assume @p9 (forall @t4 (=> (forall @t7 (= @t11 @t6)) (= @t1 @t2)))) % 28.23/28.43 (assume @p10 @t30) % 28.23/28.43 (step @p11 :rule bool-impl-elim :args (@t11 @t6)) % 28.23/28.43 (step @p12 :rule cong :premises (@p11) :args (@t12)) % 28.23/28.43 (step @p13 :rule refl :args (@t13)) % 28.23/28.43 (step @p14 :rule cong :premises (@p13 @p12) :args (@t14)) % 28.23/28.43 (step @p15 :rule cong :premises (@p14) :args (@t15)) % 28.23/28.43 (step @p16 :rule eq_resolve :premises (@p4 @p15)) % 28.23/28.43 (step @p17 :rule instantiate :premises (@p16) :args ((@list @t38 @t31))) % 28.23/28.43 (step @p18 :rule bool-eq-true :args (@t41)) % 28.23/28.43 (step @p19 :rule eq-symm :args (true @t41)) % 28.23/28.43 (step @p20 :rule trans :premises (@p19 @p18)) % 28.23/28.43 (step @p21 :rule eq-symm :args (@t39 @t40)) % 28.23/28.43 (step @p22 :rule cong :premises (@p21) :args (@t42)) % 28.23/28.43 (step @p23 :rule eq-refl :args (@t32)) % 28.23/28.43 (step @p24 :rule cong :premises (@p23 @p22) :args (@t43)) % 28.23/28.43 (step @p25 :rule trans :premises (@p24 @p20)) % 28.23/28.43 (step @p26 :rule refl :args (@t10)) % 28.23/28.43 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t10 @t43))) % 28.23/28.43 (assume-push @p144 @t10) % 28.23/28.43 (step @p29 :rule instantiate :premises (@p3) :args ((@list @t31 @t32))) % 28.23/28.43 (step-pop @p145 :rule scope :premises (@p29)) % 28.23/28.43 (step @p30 :rule process_scope :premises (@p145) :args (@t43)) % 28.23/28.43 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 28.23/28.43 (step @p33 :rule implies_elim :premises (@p32)) % 28.23/28.43 (step @p34 :rule chain_m_resolution :premises (@p33 @p3) :args (@t41 @t44 (@list @t10))) % 28.23/28.43 (step @p35 :rule eq-symm :args (@t45 @t46)) % 28.23/28.43 (step @p36 :rule refl :args (@t41)) % 28.23/28.43 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t41 @t47))) % 28.23/28.43 (assume-push @p146 @t41) % 28.23/28.43 (step @p39 :rule instantiate :premises (@p34) :args ((@list @t38))) % 28.23/28.43 (step-pop @p147 :rule scope :premises (@p39)) % 28.23/28.43 (step @p40 :rule process_scope :premises (@p147) :args (@t47)) % 28.23/28.43 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 28.23/28.43 (step @p43 :rule implies_elim :premises (@p42)) % 28.23/28.43 (step @p44 :rule chain_m_resolution :premises (@p43 @p34) :args (@t48 @t44 (@list @t41))) % 28.23/28.43 (step @p45 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 28.23/28.43 (step @p46 :rule cong :premises (@p45) :args (@t49)) % 28.23/28.43 (step @p47 :rule cong :premises (@p46) :args (@t50)) % 28.23/28.43 (step @p48 :rule exists-elim :args ((= @t21 @t50))) % 28.23/28.43 (step @p49 :rule trans :premises (@p48 @p47)) % 28.23/28.43 (step @p50 :rule refl :args (@t6)) % 28.23/28.43 (step @p51 :rule cong :premises (@p50 @p49) :args (@t22)) % 28.23/28.43 (step @p52 :rule cong :premises (@p51) :args (@t23)) % 28.23/28.43 (step @p53 :rule refl :args (@t24)) % 28.23/28.43 (step @p54 :rule cong :premises (@p53 @p52) :args (@t25)) % 28.23/28.43 (step @p55 :rule cong :premises (@p54) :args (@t26)) % 28.23/28.43 (step @p56 :rule eq_resolve :premises (@p5 @p55)) % 28.23/28.43 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t32 @t31))) % 28.23/28.43 (step @p58 :rule eq-symm :args (@t27 @t1)) % 28.23/28.43 (step @p59 :rule cong :premises (@p58) :args (@t29)) % 28.23/28.43 (step @p60 :rule cong :premises (@p59) :args (@t30)) % 28.23/28.43 (step @p61 :rule eq_resolve :premises (@p10 @p60)) % 28.23/28.43 (step @p62 :rule skolemize :premises (@p61)) % 28.23/28.43 (step @p63 :rule cnf_equiv_pos2 :args (@t52)) % 28.23/28.43 (step @p64 :rule reordering :premises (@p63) :args ((or @t51 @t53 (not @t52)))) % 28.23/28.43 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p57) :args (@t53 @t54 (@list @t51 @t52))) % 28.23/28.43 (step @p66 :rule skolemize :premises (@p65)) % 28.23/28.43 (step @p67 :rule instantiate :premises (@p34) :args (@t55)) % 28.23/28.43 (step @p68 :rule bool-eq-true :args (@t56)) % 28.23/28.43 (step @p69 :rule quant-unused-vars :args ((= (forall @t7 true) true))) % 28.23/28.43 (step @p70 :rule bool-or-taut2 :args (false @t34 false false)) % 28.23/28.43 (step @p71 :rule cong :premises (@p70) :args (@t57)) % 28.23/28.43 (step @p72 :rule trans :premises (@p71 @p69)) % 28.23/28.43 (step @p73 :rule refl :args (@t56)) % 28.23/28.43 (step @p74 :rule cong :premises (@p73 @p72) :args (@t58)) % 28.23/28.43 (step @p75 :rule trans :premises (@p74 @p68)) % 28.23/28.43 (step @p76 :rule refl :args (@t59)) % 28.23/28.43 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t59 @t58))) % 28.23/28.43 (assume-push @p148 @t59) % 28.23/28.43 (step @p79 :rule instantiate :premises (@p16) :args ((@list @t31 @t31))) % 28.23/28.43 (step-pop @p149 :rule scope :premises (@p79)) % 28.23/28.43 (step @p80 :rule process_scope :premises (@p149) :args (@t58)) % 28.23/28.43 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 28.23/28.43 (step @p83 :rule implies_elim :premises (@p82)) % 28.23/28.43 (step @p84 :rule chain_m_resolution :premises (@p83 @p16) :args (@t56 @t44 (@list @t59))) % 28.23/28.43 (step @p85 :rule cnf_equiv_pos1 :args (@t61)) % 28.23/28.43 (step @p86 :rule reordering :premises (@p85) :args ((or (not @t56) @t60 (not @t61)))) % 28.23/28.43 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p67) :args (@t60 @t62 (@list @t56 @t61))) % 28.23/28.43 (step @p88 :rule bool-double-not-elim :args (@t37)) % 28.23/28.43 (step @p89 :rule refl :args (@t64)) % 28.23/28.43 (step @p90 :rule refl :args (@t66)) % 28.23/28.43 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args ((or @t66 @t64 @t67))) % 28.23/28.43 (step @p92 :rule cnf_equiv_neg2 :args (@t66)) % 28.23/28.43 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 28.23/28.43 (step @p94 :rule reordering :premises (@p93) :args ((or @t37 @t66 @t64))) % 28.23/28.43 (step @p95 :rule cnf_or_pos :args (@t69)) % 28.23/28.43 (step @p96 :rule reordering :premises (@p95) :args ((or @t64 @t68 (not @t69)))) % 28.23/28.43 (assume-push @p150 @t37) % 28.23/28.43 (step @p98 :rule instantiate :premises (@p150) :args (@t55)) % 28.23/28.43 (step-pop @p151 :rule scope :premises (@p98)) % 28.23/28.43 (step @p99 :rule process_scope :premises (@p151) :args (@t69)) % 28.23/28.43 (step @p101 :rule implies_elim :premises (@p99)) % 28.23/28.43 (step @p102 :rule chain_m_resolution :premises (@p101 @p96 @p94 @p66) :args (@t69 (@list true false true) (@list @t69 @t37 @t66))) % 28.23/28.43 (step @p103 :rule chain_m_resolution :premises (@p102 @p87) :args (@t64 @t44 (@list @t60))) % 28.23/28.43 (step @p104 :rule cnf_equiv_neg1 :args (@t66)) % 28.23/28.43 (step @p105 :rule reordering :premises (@p104) :args ((or @t63 @t65 @t66))) % 28.23/28.43 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p66) :args (@t65 (@list true true) (@list @t63 @t66))) % 28.23/28.43 (step @p107 :rule refl :args (@t74)) % 28.23/28.43 (step @p108 :rule nary_cong :premises (@p88 @p107) :args ((or @t67 @t74))) % 28.23/28.43 (assume-push @p152 @t65) % 28.23/28.43 (step @p110 :rule skolemize :premises (@p152)) % 28.23/28.43 (step-pop @p153 :rule scope :premises (@p110)) % 28.23/28.43 (step @p111 :rule process_scope :premises (@p153) :args (@t74)) % 28.23/28.43 (step @p113 :rule implies_elim :premises (@p111)) % 28.23/28.43 (step @p114 :rule eq_resolve :premises (@p113 @p108)) % 28.23/28.43 (step @p115 :rule chain_m_resolution :premises (@p114 @p106) :args (@t74 @t75 (@list @t37))) % 28.23/28.43 (step @p116 :rule bool-double-not-elim :args (@t46)) % 28.23/28.43 (step @p117 :rule refl :args (@t73)) % 28.23/28.43 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t73 (not @t70)))) % 28.23/28.43 (step @p119 :rule cnf_or_neg :args (@t73 1)) % 28.23/28.43 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 28.23/28.43 (step @p121 :rule reordering :premises (@p120) :args ((or @t46 @t73))) % 28.23/28.43 (step @p122 :rule chain_m_resolution :premises (@p121 @p115) :args (@t46 @t75 @t76)) % 28.23/28.43 (step @p123 :rule cnf_equiv_pos1 :args (@t48)) % 28.23/28.43 (step @p124 :rule reordering :premises (@p123) :args ((or @t70 @t45 (not @t48)))) % 28.23/28.43 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p44) :args (@t45 @t62 (@list @t46 @t48))) % 28.23/28.43 (step @p126 :rule cnf_equiv_pos1 :args (@t78)) % 28.23/28.43 (step @p127 :rule reordering :premises (@p126) :args ((or @t77 (not @t45) (not @t78)))) % 28.23/28.43 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p17) :args (@t77 @t62 (@list @t45 @t78))) % 28.23/28.43 (step @p129 :rule bool-double-not-elim :args (@t71)) % 28.23/28.43 (step @p130 :rule nary_cong :premises (@p117 @p129) :args ((or @t73 (not @t72)))) % 28.23/28.43 (step @p131 :rule cnf_or_neg :args (@t73 0)) % 28.23/28.43 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 28.23/28.43 (step @p133 :rule reordering :premises (@p132) :args ((or @t71 @t73))) % 28.23/28.43 (step @p134 :rule chain_m_resolution :premises (@p133 @p115) :args (@t71 @t75 @t76)) % 28.23/28.43 (step @p135 :rule cnf_or_pos :args (@t79)) % 28.23/28.43 (step @p136 :rule reordering :premises (@p135) :args ((or @t63 @t72 @t80))) % 28.23/28.43 (step @p137 :rule chain_m_resolution :premises (@p136 @p103 @p134) :args (@t80 @t54 (@list @t63 @t71))) % 28.23/28.43 (assume-push @p154 @t77) % 28.23/28.43 (step @p139 :rule instantiate :premises (@p154) :args ((@list @t36))) % 28.23/28.43 (step-pop @p155 :rule scope :premises (@p139)) % 28.23/28.43 (step @p140 :rule process_scope :premises (@p155) :args (@t79)) % 28.23/28.43 (step @p142 :rule implies_elim :premises (@p140)) % 28.23/28.43 (step @p143 false :rule chain_m_resolution :premises (@p142 @p137 @p128) :args (false @t54 (@list @t79 @t77))) % 28.23/28.43 ) % 28.23/28.43 % SZS output end Proof % 28.23/28.43 % cvc5 exiting %------------------------------------------------------------------------------